{"663":{"question":"Laura buys a toy car and a carton of milk for 95\u00a2. She gives the cashier $1. She will get back \u00a2.","explanation":null},"665":{"question":"Kelly buys 2 candies for 70\u00a2. She pays to cashier $1. She will get back \u00a2 change.","explanation":null},"669":{"question":"Toby gives the cashier 1 ten-dollar note for a burger and a packet of milk which cost $8. He will get back $ .","explanation":null},"671":{"question":"Steve gives the cashier 2 ten-dollar notes for the $11 of purchase. He will get back $ .","explanation":null},"673":{"question":"Sue gives the cashier a fifty-dollars note to buy a burger and a can of soft drink which cost $7 in total. She wil get back $ .","explanation":null},"675":{"question":"Jane has only $5 and she wants to eat and drink something. What two things can she buy? She can buy a _____ and a _____.","explanation":null},"692":{"question":"Sharon bought a belt and a pair of socks. After paying, she has $23 left. She had $ at first.","explanation":null},"693":{"question":"After buying a bag, Peter has $15 left. He had $ at first.","explanation":null},"696":{"question":"Tom has $8. He would like to buy a pair of socks. He needs $ more.","explanation":null},"1189":{"question":"John had $980. He bought a computer that cost $814. He had $ left.","explanation":null},"1190":{"question":"Joan saved $85 last year. She saved $176 this year. Altogether, she saved $ .","explanation":null},"1201":{"question":"Mick spent $6 on lunch. He then spent $5 on snacks. Lastly, he bought a book for $12.Mick spent $ _____ in all.","explanation":null},"1208":{"question":"Lawrence has $189. His brother has $23 more than he does. His brother has $ . They have $ altogether.","explanation":null},"1400":{"question":"Sharon saves $10 in 5 days, an equal amount of money each day. She saves $ each day","explanation":null},"1401":{"question":"Roy saves $3 each day. In days, he will save $18.","explanation":null},"1402":{"question":"Carrie saved $10 daily for 5 days. She saved $ in total.","explanation":null},"1403":{"question":"The cost of 4 pens is $8. Each pen costs $ .","explanation":null},"1404":{"question":"Sally spent $24 to buy pens. Each pen cost $4.In total, she bought pens.","explanation":null},"1406":{"question":"A cake costs $2. How much do 3 cakes cost?Which model correctly represent the situation?","explanation":null},"1407":{"question":"2 pens cost $8. Which model correctly represent the situation and ask the cost of each pen?","explanation":null},"1427":{"question":"2 buns cost $4. 1 bun costs $.","explanation":null},"1431":{"question":"1 Taiwanese mango costs $4. 7 Taiwanese mangoes cost $.","explanation":null},"1432":{"question":"15 toy cars cost $90. 1 toy car costs $.","explanation":null},"1434":{"question":"1 cake costs $5. 3 cakes cost $ .","explanation":null},"1435":{"question":"Susan wants to buy a bracelet each for her 2 daughters. Each costs $15.2 bracelets will cost her $ .","explanation":null},"1519":{"question":"In cents, $0.75 = \u00a2.","explanation":null},"1520":{"question":"In cents, $2.50 = \u00a2.","explanation":null},"1521":{"question":"In cents, $5.65 = \u00a2.","explanation":null},"1522":{"question":"In cents, $5 = \u00a2.","explanation":null},"1527":{"question":"In dollars and cents, $1.70 = dollar and cents.","explanation":null},"1528":{"question":"In dollars and cents, $5.05 = dollars and cents.","explanation":null},"1529":{"question":"In dollars and cents, $7.05 = dollars and cents.","explanation":null},"1530":{"question":"In dollars and cents, $23.50 = dollars and cents.","explanation":null},"1531":{"question":"In dollars and cents, $85.00 = dollars and cents. ____________","explanation":null},"1562":{"question":"Nancy has $10. Michelle has $35 more than Nancy. Michelle has $ .","explanation":null},"1565":{"question":"Kimberly has $11. She spends $4 on a plate of pasta.She has $ left.","explanation":null},"1566":{"question":"Uncle Joe gave $6 to each of his 4 children during the Chinese New Year celebrations. He gave $ to his children altogether.","explanation":null},"1567":{"question":"Eric spends $4 daily. In 10 days, he would have spent $ .","explanation":null},"1568":{"question":"Richard pays $8 for 4 identical pens.Each pen costs $ .","explanation":null},"1569":{"question":"Lilly gives $9 to her children. Each child gets $3. Lilly has children.","explanation":null},"1576":{"question":"James had $10. He bought a photo-frame for $5.45.He has _____ left.","explanation":null},"1579":{"question":"Jacinth was given a $8 for the week. If she spends $2 a day, how many days will money last?","explanation":null},"1580":{"question":"Janson had $12. His father gave him another 150 dollars as allowance. Then he spent 24 dollars on a toy. He had $ left.","explanation":null},"1581":{"question":"Jess had $100. She spent 7 dollars on food and 50 dollars on a bag. She had $ left.","explanation":null},"1582":{"question":"Posh had $25. She then gave some money to her sister and bought some stationery for $5. She had $9 left. She gave $ to her sister.","explanation":null},"1583":{"question":"Cliff had $150. He used some money to buy a bag. Then he gave $30 to a charity. He had $45 left. The bag costs $ .","explanation":null},"1584":{"question":"Jon had $14. Jamie had $7 more than Jon. Jamie had $ . They had $ altogether.","explanation":null},"1585":{"question":"Shaun has $88. He has $9 more than Ray. Ray has $ . They have $ altogether.","explanation":null},"1586":{"question":"Teresa has $85. She has $15 less than her sister. Her sister has $ . They have $ altogether.","explanation":null},"1587":{"question":"Rose has $380. Kelly has $60 less than Rose. Kelly has $ . They have $ altogether.","explanation":null},"1588":{"question":"Ken had $170. He had $10 more than Amos. Amos used $32 to buy a pair of running shorts. Amos had $ left.","explanation":null},"1589":{"question":"Wayne has $855. He has $210 more than his brother. His father then gives his brother another $50. His brother has $ now.","explanation":null},"1590":{"question":"Larson had $35. Ricky had $8 less than Larson. Buck had $44. The three of them have $ altogether.","explanation":null},"1591":{"question":"Ricky has $32. He has $15 less than John. Lionel has $81. Lionel has $ more than Ricky. John has $ . John has $ less than Lionel.","explanation":null},"1592":{"question":"June has $4.50 in her piggy bank. She saves her money in 20\u00a2 coins and 50\u00a2 coins. She has 10 20\u00a2 coins. She has 50\u00a2 coins.","explanation":null},"1817":{"question":"The graph below shows the different denomination of notes Alex has. He has four $100 notes. Each $ icon in the graph stands for notes.","explanation":null},"1818":{"question":"The graph below shows the different notes Tom has. Each $ icon stands for 2 notes. He has $10 notes.","explanation":null},"2048":{"question":"James bought a tennis racket and a pair of shoes. He spent $160 altogether. If the shoes cost 86 dollars, the racket would have cost $.","explanation":null},"2085":{"question":"John has $45. Ken has $20 less than John. Ken has $15 more than Leo. How much money does Leo have?","explanation":null},"2090":{"question":"Jo bought a bag and a dress for $180. The dress was $72. The bag cost $ more than the dress.","explanation":null},"2091":{"question":"The total cost of an oven and a dryer is $1460. The oven costs $570. The difference between the cost of the oven and the dryer is $ .","explanation":null},"2092":{"question":"Sherman bought a train set for $350. He bought another toy car that cost $90 less than the train set. He spent a total of on the 2 items.","explanation":null},"2097":{"question":"Milly has 48 dollars of savings. Her sister saved 12 more than her. Her sister saved $17 less than their brother. How much money did her brother save? Answer : $ ","explanation":null},"2098":{"question":"Tom has 50 dollars. Mike has 25 less than Tom. Mike has $20 more than Norman. How much money does Norman have? Answer : $ ","explanation":null},"2250":{"question":"Pete saves $3 a week. It takes weeks for Pete to save $27.","explanation":null},"2251":{"question":"Umairah saved $300 in 5 months. She saved the same amount of money each month. Each month, she saves $ ","explanation":null},"2258":{"question":"Pele saved $20. He saved twice as much money as Kane. Kane saved $ .","explanation":null},"2259":{"question":"Mel saved $28, 4 times as much as Zack, Hopw much did Zack save and how much did both save in total ?\n Zack saved : ","explanation":null},"2260":{"question":"Mel saved $28, 4 times as much as Zack. How much did Mel and Zack saved together? Answer : dollars","explanation":null},"2267":{"question":"Father gave some money to John and Cheryl. Cheryl received $72. She received 3 times as much as John. How much did father give out in total ? Use the above uncompleted model to help. Answer : ","explanation":null},"2281":{"question":"Andy saved twice as much money as Tony. They saved $90 altogether. Andy saved $ Tony saved $ ","explanation":null},"2358":{"question":"A calculator costs $30 each. 6 calculators cost $ .","explanation":null},"2365":{"question":"1 $$ kg$$ of cherries is sold for $9. 20 $$ kg$$ of cherries cost $ .","explanation":null},"2367":{"question":"At a book fair, Mr Sam bought some discounted books for 120 dollars. Each book cost 4 dollars. Later, he sold all the books at $7 each. How much money did he receive from the sale of the books? Answer : ","explanation":null},"2369":{"question":"$5.00 + $1.45 $ ","explanation":null},"2370":{"question":"$4.10 + $0.80 $ ","explanation":null},"2371":{"question":"Put your answer to 2 decimal places. $6.15 + $2.35 $","explanation":null},"2372":{"question":"$0.75 + $2.65 $ ","explanation":null},"2373":{"question":"$0.85 + $0.95 $ ","explanation":null},"2374":{"question":"$3.45 + $5.70 $ ","explanation":null},"2375":{"question":"$7.40 + $8.95 $ ","explanation":null},"2376":{"question":"$11.55 + $6.15 $ ","explanation":null},"2377":{"question":"$18.05 + $13.95 $ ","explanation":null},"2378":{"question":"$1.75 - $0.25 $ ","explanation":null},"2379":{"question":"$3.85 - $1 .60 $ ","explanation":null},"2380":{"question":"$2.90 - $0.35 $ ","explanation":null},"2381":{"question":"$1.40 - $0.90 $ ","explanation":null},"2382":{"question":"$5.10 - $2.30 $ ","explanation":null},"2383":{"question":"$6.05 - $4.50 $ ","explanation":null},"2384":{"question":"$9.30 - $6.55 $ ","explanation":null},"2385":{"question":"$17.15 - $13.95 $ ","explanation":null},"2386":{"question":"$26.60 - $8.95 $ ","explanation":null},"2387":{"question":"$20 - $11.05 $ ","explanation":null},"2391":{"question":"Susie had some money. She bought a box of strawberries for $9.45 and was left with 10.55. How much money did she have at first? Answer : ","explanation":null},"2392":{"question":"Lucy has $4.50 but needed 8.60 more to buy a storybook. Find the cost of the storybook. Answer : ","explanation":null},"2393":{"question":"Mr Tan had $50 and bought a table lamp for 12.80. How much money did he have left? Answer : $ ","explanation":null},"2394":{"question":"Michael bought a ball for $12.75. He gave the cashier 2 ten-dollar notes. How much change did he receive? Answer : $ ","explanation":null},"2395":{"question":"Mrs Peters spent $85.75 at the market. She spent 13.50 less than Mrs Jones. How much did Mrs Jones spend? Answer : $ ","explanation":null},"2396":{"question":"The usual price of a watch was $90. At a sale, the price was reduced to 63.70 dollars. How much cheaper was the price at the sale? Answer : $ ","explanation":null},"2397":{"question":"Joe had $5.25 in his Ezlink stored-value card. When he alighted the bus, he used his stored-value card to pay for the ride. 4.67 dollars was left after the bus ride. How much was the ride?","explanation":null},"2399":{"question":"What is the difference between $80 and $6.05?","explanation":null},"2400":{"question":"After Raymond deposited $35.70 into his bank account, his account balance increased to 50.30 dollars. How much money did he have in his account at first?","explanation":null},"2401":{"question":"A pair of shoes costs $24.65. A basketball costs $1.75 more than the pair of shoes. What is the cost of the basketball?","explanation":null},"2402":{"question":"Catherine spent $59.85 on a pair of shoes. She gave the cashier 2 fifty-dollar notes. How much change did she get back?","explanation":null},"2403":{"question":"Elsie went shopping with some money. She bought a blouse for 43.65 dollars and had $29.50 left. How much money did she bring along for shopping?","explanation":null},"2404":{"question":"Stevie wants to buy a camera which costs 500 dollars but is short of $145. How much money does Stevie have?","explanation":null},"2405":{"question":"Fiona exchanged a $2 note for 10 coins. All the coins had the same value. What was the value of each coin?","explanation":null},"2407":{"question":"A shopkeeper has some two-dollar notes. The value of all the two-dollar notes is $100. How many two-dollar notes does he have?","explanation":null},"2408":{"question":"A stapler costs $3.60. A ruler costs $1.70 less than the stapler. Total cost of a ruler and a stapler is $ ","explanation":null},"2409":{"question":"Miranda spent $20 on a pair of jeans and a skirt. The skirt cost $9.45. The jeans cost $ more than the skirt.","explanation":null},"2410":{"question":"A packet of peanuts costs $2.35. A packet of peanuts costs $1.95 less than a packet of cashew nuts. Total cost of a packet of peanuts and a packet of cashew nuts is $ ","explanation":null},"2411":{"question":"Tim has $56.90. He has $7.45 more than Kelly. Altogether, Tim and Kelly have $ .","explanation":null},"2412":{"question":"Mr Tan and Mr Soh have $90 altogether. Mr Soh has $15.50. Mr Tan have $ more than Mr Soh.","explanation":null},"2413":{"question":"Charlie had $30. He bought a burger for $4.50 and a milkshake for 2.25 dollars. How much did Charlie have left? Answer : $ ","explanation":null},"2414":{"question":"Max had 16 dollars. He bought a book for 6.30 dollars and then purchased a magazine. He had $4.90 left. How much did the magazine cost? Answer : $ ","explanation":null},"2415":{"question":"Lily went to the market with some money. She bought a fish for 5.5 dollars and a chicken for 6.80 dollars. She was left with $23. How much did she bring to the market? Answer : $ ","explanation":null},"2416":{"question":"May went to school with some pocket money. During recess, she bought a plate of rice for $2.30 amd a glass of juice for 1.80 dollars. She was left with $7.70. How much did May bring to school? Answer : $ ","explanation":null},"2417":{"question":"A ticket to a show cost $8.50. Gerald bought 2 tickets and gave the cashier 2 ten-dollar notes. How much change did he get back? Answer : $ ","explanation":null},"2418":{"question":"A marker costs $4.35. A pen costs $3 more than the marker. The pen costs $2.80 more than a pencil box. How much does the pencil box cost? Answer : $ ","explanation":null},"2419":{"question":"Jackie has $50.20. She has $23.80 more than Cherry. Cherry has $4.10 less than Kate. How much does Kate has? Answer : $ ","explanation":null},"2420":{"question":"The total cost of a washing machine, a vacuum cleaner and an oven is $945. The oven costs 238.50 and the the washing machine costs 540 dollars. How much is the vacuum cleaner? Answer : $ ","explanation":null},"2421":{"question":"An umbrella costs $14.70. The umbrella costs $6.10 more than a raincoat. A jacket costs $8.25 more than the raincoat. How much is the jacket? Answer : $ ","explanation":null},"2422":{"question":"Jack was at the movies. He $17.15 on a ticket, a box of popcorn and a cup of soda. \nThe box of popcorn was 4.25 dollars and the soda, 3.40 dollars. How much was the ticket? Answer : $ ","explanation":null},"2423":{"question":"James bought a pencil and a book. He gave the cashier 2 five-dollar notes and received a change of $1.40. The pencil cost $2.15. How much is the book? Answer : $ ","explanation":null},"2424":{"question":"Linda went to a bookshop and bought a storybook and a packet of erasers. The total cost of the two items was $12. The storybook cost $2 more than the packet of erasers. How much do the erasers cost? Answer : $ ","explanation":null},"2425":{"question":"Mr Tan bought a bag and a wallet. Total cost was $180. The bag cost $7 more than the wallet. How much was the wallet? Answer : $ ","explanation":null},"2426":{"question":"The total cost of an LCD TV and a DVD player was $721. The DVD player cost 265 dollars less than the LCD TV. How much is the LCD TV? Answer : $ ","explanation":null},"2427":{"question":"Mrs Diana bought a lazy chair and a coffee table for $845. The coffee table cost 197 dollars less than the chair. How much was the chair? Answer : $ ","explanation":null},"2792":{"question":"Ivan works as a cashier at a restaurant. He is paid $8 per hour.The chart shows the number of hours he worked last week. He worked h last week.","explanation":null},"2793":{"question":"Ivan works as a cashier at a restaurant. He is paid $8 per hour.The chart below shows the number of hours he worked last week. He earned $ last week.","explanation":null},"3174":{"question":"Miranda earns $850 a month. If she works 12 months a year, she will earn $ in a year.","explanation":null},"3181":{"question":"A school bought 15 computers at $1639 each. How much did the school spend in total? Round your answer to the nearest hundred. Answer : $ ","explanation":null},"3188":{"question":"A train set costs $260. 16 train sets will cost $ (round your answer to the nearest hundred)","explanation":null},"3189":{"question":"Bill has $4150. His older sister has 4 times as much money. What is the total amount they have together? Answer : $ .","explanation":null},"3190":{"question":"A part time consultant earns $2460 for 6 days of work. How much does he earn in a day? Answer : $ .","explanation":null},"3195":{"question":"Jono and Mark had $1300 altogether. Mark had 3 times as much as Jono. How much did they each have? Jono had $ . Mark had $ .","explanation":null},"3196":{"question":"Alison has $89. Mary has 4 times as much money as Alison. Susan has 5 times as much money as Alison. How much do they have altogether? Answer : $ .","explanation":null},"3198":{"question":"Jim has twice as much money as Jason. Malcolm has twice as much money as Jim. Jim has $820. How much more does Malcolm have than Jason? Answer : $ .","explanation":null},"3200":{"question":"At the furniture exhibition, 2 sofa chairs were sold at $1316. How much would 10 chairs cost? Answer : $ .","explanation":null},"3201":{"question":"A 3-night hotel stay cost John $624. How much will John have to pay to extend his stay by another 2 nights? Answer : $ .","explanation":null},"3205":{"question":"Mrs. Field bought 35 pears. The pears were sold at 5 for $4. How much did she pay for the pears? Answer : $ .","explanation":null},"3218":{"question":"Apples are sold at 5 for $3. Find the cost of 100 apples.","explanation":null},"3231":{"question":"Ray has $408. He has 4 times as much money as Elliot. For both to same amount of money, how much must Ray give Elliot? Answer : $ .","explanation":null},"3238":{"question":"Veronica had 100 dollars and Rachel had 30. Veronica gave some money to Rachel till she only had $40 more than Rachel.\n How much did Rachel have in the end? Answer : $ .","explanation":null},"3239":{"question":"Sebastian has 100 dollars while Fiona has 250. Fiona gives some money to Sebastian. In the end, Fiona has only $30 more than him. How much does Fiona have left? Answer : $ .","explanation":null},"3242":{"question":"Terry has 4200 dollars while Tom has 600. Terry gives some money to Tom. In the end, Terry has only $100 more than Tom. How much did Terry give to Tom? Answer: $ .","explanation":null},"3266":{"question":"Above chart plotted sales of cakes by Mr. Baker for days of the week. Each cake was sold for $19. How much money did Mr Baker receive for the cakes sold on Saturday? Answer : $ ","explanation":null},"3307":{"question":"Graph shows sales of cakes and bread at a local bakery. In which month was $9000 worth of cakes and bread sold ?","explanation":null},"3323":{"question":"The cost of renting a bicycle for hours is $10.","explanation":null},"3324":{"question":"The cost of renting a bicycle for hours is $17.50.","explanation":null},"3332":{"question":"Table shows the earnings of 2 hawkers. Which two nights did Mr. Lim earned more than $100 ?","explanation":null},"3333":{"question":"Terry earned less than $100 on ______ night.","explanation":null},"3335":{"question":"On Sunday night, Mr Tan earned 20 dollars more than Terry. Their total earnings on Sunday were $410. How much did they each make on Sunday? Mr Tan : $ Mr Lim : $ ","explanation":null},"3398":{"question":"Shane had 40 dollars. He spent 14 dollars on a book and had a $10 lunch. What fraction of the money did he have left?","explanation":null},"3406":{"question":"James spent $$\\frac{3}{4}$$ of his money on a $12 book. He had $initially.","explanation":null},"3407":{"question":"Nicole used $$\\frac{5}{6}$$ of her pocket money on lunch. She had $3 left. She had $ pocket money.","explanation":null},"3431":{"question":"A toy train cost $$\\dfrac{3}{4}$$ that of a toy car. The toy train cost $42. The toy car cost $.","explanation":null},"3439":{"question":"Nellie's brother has $14 more than her. She has $$\\dfrac{2}{3}$$ as much money as her brother. Nellie has $ .","explanation":null},"3452":{"question":"John has $28, $$\\dfrac{1}{13}$$ as much money as Kevin. Tim has twice as much money as Kevin. Altogether, the three boys have $.","explanation":null},"3709":{"question":"Chumby has saved $10.85 in his piggy bank.Rounded to the nearest dollar, he saved $.","explanation":null},"3889":{"question":"4 notebooks cost $5.40. Each notebook costs $.","explanation":null},"3893":{"question":"James sold 9 books at $4.15 each. He collected $ from the sale.","explanation":null},"3894":{"question":"A talking robot costs $46, 8 times as much as a doll. Each doll costs $ .","explanation":null},"3895":{"question":"4 girls equally share the cost of a $9.8 pizza. Each pays $ .","explanation":null},"3896":{"question":"2 identical packs of fruit juice cost $7.30. 5 packs cost $ .","explanation":null},"3897":{"question":"Mandy saved $18.75. Holly saved twice as much as Mandy. Together, the girls saved $ .","explanation":null},"3900":{"question":"Jack spent $17.50, twice what his son spent, in a bookstore. Altogether, they spent $ .","explanation":null},"3903":{"question":"Amos paid $42.60 for a comic book and a magazine. The comic book cost three times the magazine. How much is the magazine? Answer : $ .","explanation":null},"3904":{"question":"Linda has $5.20, twice as much money as Sue. Sue has 4 times as much money as Pat. How much does Pat have? Answer : $ .","explanation":null},"3905":{"question":"Jill has twenty-two 20\u00a2 and 50\u00a2 coins. The total amount of money that she has is $8.30. Number of 20\u00a2 coins is .","explanation":null},"3906":{"question":"Stan wants to buy 8 pizzas, each $19.45. Stan needs at least pieces of $10 notes.","explanation":null},"3907":{"question":"Jack has some 10\u00a2 and 5\u00a2 coins. The total amount of money that he has is $1.70. He has 8 more 10\u00a2 coins than 5\u00a2 coins. The total number of coins is .","explanation":null},"4134":{"question":"Leonard received $5300 as his salary this month. He deposited $800 into his bank. Then, he divided the remaining money equally into three parts, one part for food expense, another for his wife and the last part for transport expenses. His wife received $ .","explanation":null},"4139":{"question":"Lucky Lam bought 25 cartons of oranges. In each carton, there were 128 oranges. He repacked them into bags of 8 oranges each. He sold each bag for $3.Lucky Lam collected $ from selling all the oranges.","explanation":null},"4142":{"question":"A businessman bought 200 pens at the price of 25 pieces for $8. He sold all of them at a price of 4 pieces for $2. The businessman made $ in profits.","explanation":null},"4144":{"question":"James bought a new car. He paid $10000 as down payment. The remaining amount would be paid in instalments for 7 years at $880 per month. The cost of the car is $ .","explanation":null},"4149":{"question":"The cost of 2 shirts and 6 caps is $23. Each shirt costs twice as much as a cap. The toal cost of a shirt and a cap is $ .","explanation":null},"4150":{"question":"Mr. Peabody bought 3 tables and 9 chairs. He paid a total of $360. A chair cost $15 less than a table. The cost of the two chairs is $ .","explanation":null},"4151":{"question":"Sean and his brother have $100 altogether. Sean has 4 times as much money as his brother. For Sean and his brother to have the same amount of money, Sean will have to give his brother $ .","explanation":null},"4153":{"question":"At first, Money had $1200. He had $520 more than Anita. Then, he gave some money to Anita. In the end, he had only $100 more than Anita. How much did Money give to Anita? Answer : $ ","explanation":null},"4158":{"question":"Ham and Jam each had the same amount of money at first. Then, Ham received his salary of $1600. Jam spent $750 on a computer. Now, Ham has twice as much money as Jam. Each of them had $ at first.","explanation":null},"4182":{"question":"Alex had $6. His brother had $15. After their parents gave each of them the same amount of money, Alex's brother had twice as much as Alex. Their parents gave each of them $ .","explanation":null},"4185":{"question":"Ben and Jerry had the same amount of money at first. Then Ben spent twice as much as Jerry. After that, Ben had $5 left. Jerry had $18 left. Each of them had $ at first.","explanation":null},"4187":{"question":"Mr. Thrifty and Mrs. Thrifty had the same amount of money at first. After Mrs. Thrifty spent six times as much as Mr. Thrifty, she had only $8000 left. Mr Thrifty had $33000. Each of them had $ at first.","explanation":null},"4199":{"question":"Thrice a teacher's monthly salary is the same as 7 times a bus driver's monthly salary. A teacher earns $2100 more than a bus driver. The monthly salary of a bus driver is $ .","explanation":null},"4245":{"question":"Find the sum of $1\\frac{1}{2}$ and $3\\frac{1}{3}$. Express your answer as a mixed number in its simplest form where necessary.","explanation":null},"4246":{"question":"Lewis jogged $1\\frac{1}{2}$ km on Monday and $2\\frac{3}{5}$ km on Tuesday. How many kilometres did he jog over the two days?","explanation":null},"4248":{"question":"Helen had $3\\frac{2}{5}$ kg of rice. She used $1\\frac{1}{4}$ kg of rice to cook a meal for her family. How much rice was left (in kg)?","explanation":null},"4251":{"question":"Tom sat for a Chemistry examination comprising 2 papers. He took $1\\frac{1}{3}$ h to complete Paper 1. He took $1\\frac{7}{12}$ h to complete Paper 2. How much time altogether did he take to complete Paper 1 and Paper 2?","explanation":null},"4252":{"question":"Mike had 2 litres of water in his bottle. After a game, he drank $1\\frac{1}{5}$ litres from it. How much water had he left?\n\n\n\nHow much water (in litres) had he left?","explanation":null},"4253":{"question":"Jelilah's bag has a mass of $2\\frac{1}{4}$ kg. Susie's bag is $1\\frac{7}{10}$ kg heavier than Jelilah's bag. Find the mass of Susie's bag.","explanation":null},"4254":{"question":"Dillie has $1\\frac{1}{4}$ kg of flour. Her neighbour Mrs. Wong has $1\\frac{1}{3}$ kg of flour. How much more flour does Mrs. Wong have than Dillie?","explanation":null},"4255":{"question":"Kok Siong bought $3\\frac{1}{3}$ kg of rambutans. Wee Boon bought $3\\frac{7}{9}$ kg of rambutans. How many kilograms of rambutans did they buy altogether?","explanation":null},"4256":{"question":"On Monday, John Lim spent $1\\frac{1}{3}$ h in his remedial class. Then, he supervised a CCA for $3\\frac{4}{5}$ h. How much more time did he spend in supervising the CCA than in conducting the remedial class?","explanation":null},"4257":{"question":"Rope A is $4\\frac{1}{2}$ m long. Rope A is $1\\frac{3}{4}$ m longer than Rope B. Find the length of Rope B (in m).","explanation":null},"4258":{"question":"The total mass of a watermelon and a papaya is $4\\frac{1}{6}$ kg. If the papaya has a mass of $1\\frac{3}{8}$ kg, what is the mass (in kg) of the watermelon?","explanation":null},"4259":{"question":"Hugo jogged $4\\frac{1}{2}$ km in the morning. Then, he jogged $5\\frac{7}{10}$ km in the evening. How much further (in km) did he jog in the evening than in the morning?","explanation":null},"4260":{"question":"A basketball has a mass of $1\\frac{5}{6}$ kg. What is the mass (in kg) of 2 similar basketballs?","explanation":null},"4268":{"question":"Tammie had 6 m of cloth. She used $2\\frac{1}{6}$ m of it to make a curtain. How much cloth (in m) did she have left?","explanation":null},"4271":{"question":"Aaron took $2\\frac{3}{4}$ h to complete his exam paper. He took $\\frac{4}{5}$ h longer than Millie. How long (in h) did Millie take to complete her exam paper?","explanation":null},"4273":{"question":"Fred's bag and Cynthia's bag have a total mass of $2\\frac{3}{4}$ kg. If Fred's bag has a mass of $\\frac{15}{16}$ kg, what is the difference between the mass (in kg) of their bags?","explanation":null},"4274":{"question":"During a fitness test, a soldier was to run $2\\frac{1}{2}$ km. He managed to run $1\\frac{13}{22}$ km before stopping to catch a breath. How much further did he have to run?","explanation":null},"4275":{"question":"Joe's ruler was 10 cm long. His brother broke off $2\\frac{9}{10}$ cm of it. What was the length (in cm) of the remaining ruler?","explanation":null},"4276":{"question":"Newton's water bottle contained $1\\frac{1}{2}$ litres of water. He drank $\\frac{2}{5}$ litres of the water and gave $\\frac{9}{20}$ litres of it to his friend. How much water (in litres) did he have left?","explanation":null},"4278":{"question":"In the morning, the bus journey from June's home to Changi Airport took $2\\frac{1}{6}$ h. In the evening, the bus journey from Changi Airport back to her home took $1\\frac{1}{2}$ h. How much longer (in h) did the morning journey take than the evening journey?","explanation":null},"4279":{"question":"Class 5G took $7\\frac{2}{5}$ min to walk to the field during a fire drill. Class 5G took $1\\frac{3}{4}$ min less than Class 5H to walk to the field. How long (in h) did Class 5H take to walk to the field?","explanation":null},"4281":{"question":"Three boys bought a few bottles of 1-litre soft drink and shared them equally. Each boy drank $1\\frac{2}{3}$ litres of soft drink. How many bottles of soft drink did they buy?\n\n Answer : ","explanation":null},"4282":{"question":"Mrs Subra had 6 h of free time after sending her children to school. She spent $1\\frac{1}{4}$ h doing household chores. Then, she spent $2\\frac{1}{2}$ h running errands. How much time (in h) did she have left to do other things?","explanation":null},"4283":{"question":"Lina and Tammy shared a bag of potatoes, which has a mass of $10\\frac{1}{2}$ kg. Lina got $5\\frac{3}{5}$ kg of potatoes. How much more potatoes (in kg) did Lina get compared to Tammy?","explanation":null},"4284":{"question":"After dismissal, Maverick took $6\\frac{1}{2}$ min to walk from the school gate to the lift landing of his flat. He waited $1\\frac{1}{5}$ min for the lift to come down. He took another $2\\frac{1}{5}$ min to go up from the ground floor to his apartment on the 18th floor. How long (in min) did he take to reach home from the school gate?","explanation":null},"4288":{"question":"On Wednesday it rained for $3\\frac{1}{4}$ h. On Thursday the rain lasted $\\frac{7}{12}$ h shorter than the rain on Wednesday. How long (in h) in all did it rain over the two days?","explanation":null},"4289":{"question":"One morning, Robert jogged from his home to the park and then from the park back to his home. In the evening, he repeated this routine. Find the distance that he had jogged that day if the distance from his home to the park is $1\\frac{1}{4}$ km.\n Answer : km","explanation":null},"4322":{"question":"Wendy spent $\\frac{2}{9}$ of her money on an assessment book and had $14 left. How much money did she have at first?\n\n\n Answer : $ ","explanation":null},"4338":{"question":"Liane had some money. She spent $\\frac{1}{9}$ of it to buy food and $\\frac{1}{4}$ of the remainder on a file. The file cost her $4. How much (in dollars) did she spend on food?","explanation":null},"4339":{"question":"Mandy had some money. She spent $\\frac{1}{3}$ of it to buy food and $\\frac{2}{5}$ of the remainder on a file. She spent $4 on the file. How much money did she have left?\n\n\n Answer : $ ","explanation":null},"4340":{"question":"Mindy had some money. She spent $\\frac{1}{3}$ of it to buy food and $\\frac{1}{2}$ of the remainder on a file. The file cost her $4. How much money did she have at first?\n Answer : ","explanation":null},"4341":{"question":"Rex had some money. He spent $\\frac{1}{3}$ of it on a watch. Then he spent $\\frac{1}{4}$ of the remainder on a toy. He had $15 left. How much did he spend on the watch?\n\n Answer $ ","explanation":null},"4342":{"question":"Bala had some money. He spent $\\frac{2}{5}$ of it on a watch. Then he spent $\\frac{1}{2}$ of the remainder on a toy. He had $15 left. How much money did he have at first?\n\n\n\n Answer : $ ","explanation":null},"4358":{"question":"Ms Pretty spent $$\\frac{1}{7}$$ of her money on cosmetics. She spent $$\\frac{5}{6}$$ of her remainder on clothes. She spent $420 more on clothes than on cosmetics. How much money did she have left?","explanation":null},"4360":{"question":"Bill had thrice as much money as Ted. Roger had $\\frac{5}{12}$ as much money as Bill. If they had $2520 in total, how much money did each of them have?","explanation":null},"4362":{"question":"$\\frac{1}{9}$ of Glen's money is equal to $\\frac{1}{5}$ of Nick's money. Glen has $36. How much money does Nick have?\n Nick has $ .","explanation":null},"4372":{"question":"Charlie has a pot of money. He gave $\\frac{1}{3}$ of it to his wife. He then gave $\\frac{1}{4}$ of the remainder to his daughter and $\\frac{3}{20}$ of the remainder to his son. The rest of the remainder was given to charity. If his wife got $200000, how much was given to charity?\n\nAnswer : $ ","explanation":null},"4486":{"question":"Three sisters, Jane, Wendy and Lily were given $120 by their father. They shared the money in the ratio 6 : 5 : 4. Lily's share was $ .","explanation":null},"4511":{"question":"Mr and Mrs Anderson have $1400 altogether. The ratio of Mr Anderson's money to Mrs Anderson's money is 7 : 3. Mr Anderson needs to give Mrs Anderson $ so that they have the same amount of money","explanation":null},"4516":{"question":"At first, the ratio of Dave's money to his brother's money was 2 : 3. After Dave gave $10 to his brother, the ratio of Dave's money to his brother's money became 1 : 2. At the beginning, Dave had $ and his brother had $ .","explanation":null},"4523":{"question":"The ratio of Han Boon's money to Richard's money is 4 : 1. The ratio of Andy's money to the total of Han Boon's and Richard's money is 1 : 3. Andy has $25. Han Boon has $ .","explanation":null},"4525":{"question":"The ratio of Shaw's money to Tony's money was 6 : 7. After Shaw spent $500 on a laptop, the ratio became 1 : 2. Shaw had $ at first.","explanation":null},"4610":{"question":"1 kg of fish cost $12.50. \n1 kg of mutton cost $8.75. \nRay bought 20 kg of fish and 30 kg of mutton. \nHow much did he pay altogether? \nHe paid $ altogether.","explanation":null},"4612":{"question":"A notebook costs $0.65. 3000 notebooks cost $ .","explanation":null},"4634":{"question":"Betty has $55.80. She has 12 times as much money as Sheila.The two girls have altogether $ .","explanation":null},"4635":{"question":"Max spent $651.80 on utilities during January and February. If he spent $120.40 more in January than in February, how much was his utilities' bill for February? Max spent $ on his utilities in February.","explanation":null},"4636":{"question":"Mrs Lim paid $72 for 9 cakes and 13 pies. A cake cost $2.50 more than a pie.The cost of each cake is $ .","explanation":null},"4644":{"question":"Beatrice spent a total of $100 on a blouse, a skirt and a bag. The blouse cost twice as much as the bag. The skirt cost $14.20 more than the bag.The blouse cost $ more than the skirt.","explanation":null},"4653":{"question":"Cindy has $8. Her sister has $13. Her brother has $9. If all their money are pooled together and shared equally among the three of them, each will have $ .","explanation":null},"4674":{"question":"The ratio of Alfred's savings to Martin's savings is 1 : 3. The average savings of the two boys is $34. Alfred had $ and Martin has $ ","explanation":null},"4679":{"question":"Julie bought a skirt, a blouse and a dress. \nThe average cost of the 3 items was $28. \nThe skirt cost $19. \nThe blouse cost $14. The cost of the dress is $ .","explanation":null},"4686":{"question":"The average weekly pocket money of Jamie and Carrie is $11. Jamie has $4 less pocket money than Carrie. How much pocket money does Jamie get each week? Answer : $ ","explanation":null},"4693":{"question":"The average amount of money of Aaron, Dick, Issac and Julian is $5.50. \nIssac and Dick have a total of $12 in their wallets. Find the average amount of money of Aaron and Julian. $ ","explanation":null},"4694":{"question":"Raen bought a necklace and 2 identical bracelets. The average cost of the 3 items was $60. A bracelet cost $49. How much did a necklace cost? $","explanation":null},"4699":{"question":"The average cost of a book, a magazine and a dictionary is $24. The book costs three times as much as the magazine. The dictionary costs $7 more than the magazine. Find the difference in cost between the book and the dictionary. $ ","explanation":null},"4761":{"question":"Mr Koay had $60. \nHe used $18 to buy a book. \nWhat percentage of his money did he use to buy the book? %","explanation":null},"4762":{"question":"Mr Koay had $60. \nHe used $18 to buy a book. \n What percentage of his money did he have left? %","explanation":null},"4765":{"question":"25% of $300 = $ ","explanation":null},"4769":{"question":"Wendy earns $600 a month as a cleaner. She saves 20% of the money. How much money does she save? $ ","explanation":null},"4771":{"question":"Max had $500. He gave 65% of the money to his parents and spent the rest. How much money did he spend? $ ","explanation":null},"4778":{"question":"Alicia had $200. She spent 15% of the money on food and 24% of the money on clothes. She saved the rest of the money. Find the amount of money that she spent on clothes. $ ","explanation":null},"4779":{"question":"Alicia had $200. She spent 15% of the money on food and 24% of the money on clothes. She saved the rest of the money. What percentage of the money did she save? %","explanation":null},"4780":{"question":"Alicia had $200. She spent 15% of the money on food and 24% of the money on clothes. She saved the rest of the money. How much money did she save? $ ","explanation":null},"4788":{"question":"George wants to buy a computer priced at $900. In addition, he has to pay 7% tax on the price of the computer. How much tax must George pay? Answer : $ ","explanation":null},"4789":{"question":"Molly has $4000 in a fixed deposit savings account. The bank pays 3% interest per year for the fixed deposit account. How much interest will she earn from her fixed deposit in 1 year? Answer : $ ","explanation":null},"4791":{"question":"Kenny puts $50000 into an endowment fund that pays an interest of 6% per year. How much interest does he earn after one year? Answer : $ ","explanation":null},"4792":{"question":"The usual price of a bag was $60. Sophia bought it at a discount of 40% during the year-end sale. How much was the discount? Answer : $ ","explanation":null},"4793":{"question":"Shop A sells a television at $2500 (before GST) with a 20% discount, then adds 8% GST. Shop B sells the same television at $2200 (before GST) with a 10% discount, then adds 8% GST. Which shop offers the better deal and by how much?","explanation":null},"4794":{"question":"The price of a ticket to a show was $130 before tax of 7%. How much was the tax? Answer : $ ","explanation":null},"4795":{"question":"The price of a ticket to a show was $130 before tax of 7%. What was the price of the ticket with the tax included? Answer : $ ","explanation":null},"4796":{"question":"Lionel borrows $2000 from a bank. The bank charges 12% interest per year. How much interest must he pay the bank if the loan is for a year? Answer : $ ","explanation":null},"4797":{"question":"Anna puts $15000 into a savings account with an interest rate of 1% per year. How much interest does she earn after 1 year? Answer : $ ","explanation":null},"4798":{"question":"Sam puts $15000 into a savings account with an interest rate of 2% per year. How much money does he have in the savings account after 1 year? Answer : $ ","explanation":null},"4799":{"question":"The usual price of a book was $15. At a sale, a discount of 40% was given. How much did Dave pay if he bought the book during the sale? Answer : $ ","explanation":null},"4800":{"question":"The price of a washing machine is $460. In addition, buyers need to pay 7% tax. How much money altogether will Mr Tan need to pay for the washing machine? Answer : $ ","explanation":null},"4801":{"question":"Melody puts $6500 into a savings account which pays 2% interest per year. How much money will she have in the savings account after 1 year? Answer : $ ","explanation":null},"4806":{"question":"The price of a printer is $400. In addition, buyers need to pay a 7%. tax on the sale price. How much must Dan pay for the printer altogether?","explanation":null},"4809":{"question":"Marvin had $50. He spent some of the money and had $10 left. What percentage of his money did he spend?","explanation":null},"4810":{"question":"Smarty puts $50000 in an investment account. The account has an interest rate of 5% per year. How much interest will he earn after 1 year?","explanation":null},"4814":{"question":"A computer is sold at $2000 in both Country X and Country Y. In Country X, the good and servives tax (GST) is 7%. However, in Country Y, the tax is 10% . Max chooses to buy the computer in Country X. How much money does he save by buying it in country X instead of Country Y?","explanation":null},"4820":{"question":"Malcolm spent $8. He has $32 left. What percentage of his money did he spend? %","explanation":null},"4821":{"question":"Gary gave $20 to his brother. He gave $24 to his sister. He had $36 left. What percentage of his money had he left? %","explanation":null},"4822":{"question":"Shem spent $900 of his salary on his part-time tuition fees. He gave $250 to his parents. He had $350 left. What percentage of his salary did he spend on his tuition fees? %","explanation":null},"5094":{"question":"Jenny has $$$b$$. She has $5 more than Bridget. Write down the amount of money that Bridget has in terms of b.","explanation":null},"5100":{"question":"Lee Lee has $90. She spends $n on food. \n\nFind the amount of money she has left in terms of n.","explanation":null},"5102":{"question":"Ken has $$\\$ x $$. He has $3 less than Peter. Write down the amount of money that Peter has in terms of $$x$$ .","explanation":null},"5103":{"question":"Ken has $$\\$ x $$. He has $3 less than Peter. What is the amount of money that the two boys have altogether in terms of $$x$$ ?","explanation":null},"5115":{"question":"Mdm Rashidah bought a dress for $$\\$n$$ and a bag which was $10 cheaper than the dress. Find the total amount of money that Mdm Rashidah spent on the two items in terms of $$n$$.","explanation":null},"5122":{"question":"Natalie bought a blouse for $ $$e$$. She also bought a pair of shoes which cost $8 more than the blouse. Find the total amount of money that she spent on the two items in terms of $$e$$.","explanation":null},"5143":{"question":"Charles had $$\\$s$$. His parents gave him another $$\\$2s$$. Later, he used $10 to buy a book. Find the amount of money he had left in terms of $$\\$s$$.","explanation":null},"5144":{"question":"George had $$\\$s$$. His parents gave him another $$\\$2s$$. He used $10 to buy a book. If s = 25, how much money did he have left? ","explanation":null},"5153":{"question":"Molly bought a dress for $25. \nShe also bought a skirt that was $n cheaper than the dress. Find the total cost of the two items in terms of $t.","explanation":null},"5154":{"question":"Molly bought a dress for $25. She also bought a skirt that was $t cheaper than the dress. She gave the cashier $100. If t = 5, how much change did she receive?","explanation":null},"5158":{"question":"Mr Cheong had $r. He gave the money equally to this 3 children, Calvin, Catherine and Candice. Catherine saved $250 of the money and spent the rest of it. If r = 900, find the amount of money that Catherine spent.","explanation":null},"5252":{"question":"A square cardboard has an area of $4$ m\u00b2. It is cut equally into a few parts. Each part has an area of $\\frac{2}{7}$ m\u00b2. How many parts has the square been cut into?\n\n Answer : ","explanation":null},"5269":{"question":"Andrew saved $$\\dfrac{5600}{1}$$ of his salary in a bank. He gave $$\\dfrac{5600}{1}$$ of the remainder to his wife and his parents. The ratio of the amount that his wife got to the amount that his parents got was 3 : 7. He spent the rest of the money. If he spent $1400, how much was his salary? ","explanation":null},"5271":{"question":"Andrew saved $\\frac{1}{4}$ of his 5600 dollars' salary in a bank. He gave $\\frac{1}{2}$ of the remainder to his wife and his parents. The ratio of the amount that his wife got to the amount that his parents got was 3 : 7. He spent the rest of the money. \n If he saved the same amount each month, how many months did he need to save in order to have more than $10000 in his bank? Answer : months","explanation":null},"5272":{"question":"Melissa takes 9 min to walk to school. She takes $1\\frac{1}{4}$ min more than Bliss to walk to school. Bliss takes $2\\frac{1}{3}$ min less than Cheryl to walk to school. \n How many minutes does Cheryl take to walk to school?","explanation":null},"5274":{"question":"June is 12 years old now. Augustine is $1\\frac{3}{4}$ times as old as her. \n\n How old is Augustine now? Answer : years old","explanation":null},"5275":{"question":"May is 12 years old now. Gabriel is $1\\frac{3}{4}$ times as old as her. \nHow old was Gabriel when May was half of his age?\n\n Answer : years' old","explanation":null},"5276":{"question":"Belle is 12 years old now. James is $1\\frac{3}{4}$ times her age. How many years ago was James 2 times Belle's age?\n\n Answer : years ago","explanation":null},"5277":{"question":"Mr Roy had some money. He gave all the money equally to his four children, Jenson, Keith, Leon and Mark. Mark used got the money that he received on his school fees and saved the rest. If he saved $2400, how much money did Mr Roy have at first? ","explanation":null},"5278":{"question":"A rectangle measures 8 cm by $5\\frac{1}{2}$ cm. $\\frac{3}{8}$ of the rectangle is shaded. \n\n Find the area of the unshaded part. Express your answer to 2 decimal places. Answer : cm\u00b2","explanation":null},"5289":{"question":"Jerry and Tom had a total of $100. After Jerry used $$\\dfrac{3}{4}$$ of his money and Tom used $$\\dfrac{5}{6}$$ of his money, both of them had an equal amount of money left. Find the amount of money that each of them had left. ","explanation":null},"5295":{"question":"On a school bus, there were $1\\frac{1}{2}$ as many boys as girls. After 6 boys alighted from the bus, there were $\\frac{3}{4}$ as many boys as girls. How many children were there in the bus at first? Answer : ","explanation":null},"5303":{"question":"$$\\frac{2}{9}$$ of Kerry's salary is $800. How much IS Kerry's salary ?","explanation":null},"5307":{"question":"Ms Tan took $$\\frac{3}{7}$$ of her weekly pocket money to school. She spent $3 and had $6 left. How much was her weekly pocket money?","explanation":null},"5309":{"question":"Leon spent $$\\frac{3}{5}$$ of his money on a pair of shoes. He spent $$\\frac{7}{10}$$ of the remaining money on food. If he spent $80 more on the pair of shoes than on food, how much money did he have at first?","explanation":null},"5333":{"question":"Jolie had only $2 notes in her wallet. Her sister Kylie had only $10 notes in her wallet. Jolie gave half of her $2 notes to Kylie and Kylie gave half of her $10 notes to Jolie. Both of them ended up with $100 each. Kylie had $$\\dfrac{10}{1}$$ as many $10 notes as $2 notes. How many $2 notes did Jolie have at \ufb01rst? ","explanation":null},"5335":{"question":"Mr Chong, his wife and his son shared some money won from the lottery. Mr Chong and his wife took $\\frac{31}{36}$ of the money. Mrs Chong and his son took $\\frac{2}{3}$ of the money. Mr Chong took $490 more than his son. How much money did they win from the lottery? Answer : $ ","explanation":null},"5337":{"question":"Catherine had $\\frac{3}{8}$ as much money as Julia. Julia had twice as much money as Lisa. They had $765 altogether. Julia gave some of her money to Catherine and Lisa so that each of them would have the same amount of money. \n How much more money did Catherine get than Lisa? Answer : $ ","explanation":null},"5390":{"question":"Three children shared a sum of money in the ratio 9,: 8: 1. It the largest share was $216, how much money was being shared?","explanation":null},"5404":{"question":"The ratio of the Mr Koh's money to Mr Sim's was 7 : 2. Mr Koh gave Mr Sim some money. In the end, Mr Koh had $$\\dfrac{275}{7}$$\u200b as much money as Mr Sim. If Mr Sim had $100 at first, how much money did Mr Koh give to Mr Sim?","explanation":null},"5405":{"question":"Jane had $$\\dfrac{20}{1}$$ as much money as Katherine. After Katherine spent some money on a bag, the ratio of Jane's money to Katherine's money became 6 : 7. If Jane had $240, how much was the cost of the bag? ","explanation":null},"5414":{"question":"The tickets for a school's mooncake festival celebrations were sold at 4 dollar per child and 7 per adult. $4030 was collected for the celebrations. The ratio of the number of children tickets sold to the number of adult tickets sold was 5 : 6. Find the number of adult tickets sold. ","explanation":null},"5415":{"question":"Cynthia and Vivian went shopping for a present for their friend one day. The ratio of the amount of money that Vivian paid to the amount of money that Cynthia paid was 2 : 9. Vivian paid $12 for the present. The present cost $__? ","explanation":null},"5416":{"question":"Cynthia and Vivian went shopping for a present for their friend one day. The ratio of the amount of money that Vivian paid to the amount of money that Cynthia paid was 2 : 9. Vivian paid $12 for the present. If the cost of the present were to be split equally, Vivian must return $ to Cynthia for the present?","explanation":null},"5423":{"question":"Mdm Hwan had $40. She spent $6 on a movie ticket. What percentage of her money had she spend? Answer : %","explanation":null},"5425":{"question":"Mel had $8. He bought a plate of rice for 1 dollar and a burger for 2 dollars. What percentage of his money was left? %","explanation":null},"5426":{"question":"Gayle bought a bag with a price tag of $60. She had to pay 7% tax for the bag. How much was the tax? Answer : $ ","explanation":null},"5427":{"question":"A train set cost $308. During a Christmas sale, it was sold at a discount of 25%. How much was the discount? ","explanation":null},"5428":{"question":"A rich lady puts $100000 into a savings account. This account pays only a paltry interest of 1% per year. How much money will she have in the account after 1 year? Answer : ","explanation":null},"5433":{"question":"A lady bought a sofa which was sold at a price of $2545. She also had to pay 7% tax. How much did she pay for the sofa? Round off your answer to the nearest dollar. Answer : $ ","explanation":null},"5436":{"question":"On a tour in another country, Mabel paid a total of $14.70 for a meal. Without tax, the meal would have cost only $14. How much was the tax, in $? ","explanation":null},"5437":{"question":"On a tour in another country, Mabel paid a total of $14.70 for a meal. Without tax, the meal would have cost only $14. What percentage of the cost of the meal was the tax? Round your answer to nearest whole number. ","explanation":null},"5438":{"question":"Last year, the price of a certain model of laptop was $1200. This year, the price of the same model of laptop was $999. Find the percentage decrease in the price. Round off your answer to 1 decimal place. Answer : %","explanation":null},"5440":{"question":"At a sale, a man paid $306 for a camera. The camera was sold at a 10% discount. Find the cost of the camera before the discount. ","explanation":null},"5441":{"question":"Daddy put some money into his bank account. The account pays an interest of 3% per year. When he received a bank statement at the end of the year, it said that he had earned an interest of $97.50. How much money did he put in the account? ","explanation":null},"5442":{"question":"A man had a meal at a restaurant and paid $2.94 for tax. The tax was 7% of the cost of the meal. How much did the meal cost without tax? ","explanation":null},"5444":{"question":"Mr Choo's salary was cut by 10% to $1386 during the recession. What was his salary before it was cut? Answer : $ ","explanation":null},"5445":{"question":"Lilian had some money. She spent 60% of the money on some clothes and was left with $20. How much money did she have at first? Answer : $ ","explanation":null},"5453":{"question":"Alex gets $26 weekly as pocket money. This is 30% more than what Alan gets. How much pocket money does Alan get? ","explanation":null},"5455":{"question":"Yen spent 30% of her money on a blouse. She spent 20% of the remaining money on a bag. If the bag cost $48 less than the blouse, how much money did she have at first? Answer : $ ","explanation":null},"5457":{"question":"Express 50 cents as a percentage of $10.","explanation":null},"5461":{"question":"A lady paid $288 for a phone after a discount of 40%. Find the original price of the phone.","explanation":null},"5478":{"question":"Terence has a total of 70 notes. 60% of the notes are 2 dollar notes. 75% of the remaining notes are 5 dollar notes and the rest are 10 dollar notes. How many notes of each denomination does he have? $2 $5 $10 ","explanation":null},"5479":{"question":"Sam has a total of 70 notes. 60% of the notes are $2 notes. 75% of the remaining notes are 5 dollar notes and the rest are 10 dollar notes. How much money does he have? Answer : ","explanation":null},"5487":{"question":"Nancy had 20% as much money as Shirley. If Shirley gave Nancy $280, they would have the same amount. How much money must Shirley give Nancy if she was to have twice as much as Nancy? Answer : $ ","explanation":null},"5488":{"question":"Mr Teo and Mrs Teo have some money each. If Mr Teo gives Mrs Teo $25, they will have the same amount. If he gives Mrs Teo $6, she will have 50% as much money as him. How much do they have in total? Answer : $ ","explanation":null},"5489":{"question":"Mr Teo and Mrs Teo have some money each. If Mr Teo gives Mrs Teo $25, they will have the same amount of money. If he gives Mrs Teo $6, she will have 50% as much money as him. How much does each have? Mrs Teo : $ Mr Teo : $ ","explanation":null},"5576":{"question":"The pie chart shows the amount of money that Andrea spent on some items. Andrea spent a total of $50. How much did she spend on bags? $ ","explanation":null},"5600":{"question":"The pie chart shows how a sum of $100 was shared between Joe, John and Jack. John got %<\/b>","explanation":null},"5601":{"question":"The pie chart shows how a sum of $100 was shared between John, Joe and Jack.Jack got $ more than John.","explanation":null},"5605":{"question":"The pie chart shows how Anthony spent a sum of money on a certain day. If he spent a total of $100 that day, how much more did he spend on food than on the movie ticket? $ ","explanation":null},"5624":{"question":"The pie chart shows the number of coins in Henry's piggy bank. What percentage of the coins are $1 coins? Give your answer correct to 1 decimal place. %","explanation":null},"5626":{"question":"The pie chart shows the number of coins in Henry's piggy bank. Using all the coins in the piggy bank, Henry wentto a shop to exchange for $2 notes. What is the maximum number of $2 notes that he can get? ","explanation":null},"6835":{"question":"John spends an average of $12 per day for 7 days. What is his total spending?","explanation":null},"6838":{"question":"Sarah has $60 to spend equally over 5 days. How much does she spend on average per day?","explanation":null},"6841":{"question":"Emily has $80 to use over 4 weeks. How much does she use on average each week?","explanation":null},"6842":{"question":"James has $100 to share equally over 5 days. How much does he share on average each day?","explanation":null},"6843":{"question":"Lily has $50 to spend over 5 days. How much does she spend on average each day?","explanation":null},"6844":{"question":"Nina has $90 to spend equally over 6 days. How much does she spend on average per day?","explanation":null},"6845":{"question":"Tom has $120 to use over 8 days. How much does he spend on average each day?","explanation":null},"6846":{"question":"Ava has $70 to spend over 7 days. How much does she spend on average each day?","explanation":null},"6847":{"question":"Oliver has $150 to share over 10 days. How much does he share on average each day?","explanation":null},"6848":{"question":"Sophia has $40 to use over 4 days. How much does she spend on average each day?","explanation":null},"6849":{"question":"Ethan has $200 to spend equally over 5 days. How much does he spend on average per day?","explanation":null},"6851":{"question":"After a 25% discount, a jacket costs $90. What was the original price of the jacket?","explanation":null},"6853":{"question":"Tom earned $1,260 in interest, which was 7% of his savings. How much money does he have in savings?","explanation":null},"6854":{"question":"After receiving a 20% raise, Maria\u2019s new salary is $4,800. What was her original salary? Answer : $ ","explanation":null},"6856":{"question":"A shopkeeper sold a phone for $680 after giving a 15% discount. What was the marked price of the phone?","explanation":null},"6857":{"question":"After getting a 15% increase, Liam's new salary is $3,450. What was his original salary?","explanation":null},"6858":{"question":"After receiving a 25% bonus, Ava\u2019s new salary is $5,000. What was her original salary?","explanation":null},"6859":{"question":"After a 10% raise, Noah\u2019s new salary is $2,200. What was his original salary?","explanation":null},"6860":{"question":"A bookstore sold a novel for $480 after giving a 20% discount. What was the original price of the novel?","explanation":null},"6972":{"question":"Three friends buy popcorn and drinks at the cinema.\nEach popcorn costs x dollars, and each drink costs y dollars.\nAltogether, they buy 4 popcorns and 3 drinks, spending $27.\nIf a drink costs 3 dollar less than a popcorn, find the cost of each item.","explanation":null},"7609":{"question":"A jacket\u2019s price is reduced by 20%, then by another 10%. The final price is $288. What was the original price?","explanation":null},"7621":{"question":"The ratio of Alice\u2019s savings to Bella\u2019s was 2 : 3. After Alice saved another $120, the ratio became 3 : 4. How much did Bella have at first?","explanation":null},"7625":{"question":"The ratio of the price of a watch to that of a pen was 5 : 2. After each was reduced by $15, the ratio became 8 : 3. Find the original price of the watch.","explanation":null},"7970":{"question":"$0.56 is equal to?","explanation":null},"7971":{"question":"$3.08 is the same as which of the following?","explanation":null},"7977":{"question":"How many cents are in $0.75?","explanation":null},"7978":{"question":"Convert $1.20 to cents. What is it?","explanation":null},"7979":{"question":"What is $0.99 in cents?","explanation":null},"7980":{"question":"How many cents is $2.50?","explanation":null},"7981":{"question":"What is the cent value of $0.45?","explanation":null},"7982":{"question":"How many cents are in $2.50?","explanation":null},"7983":{"question":"Which of these is equal to $4.75?","explanation":null},"7984":{"question":"What is $1.99 in cents?","explanation":null},"7985":{"question":"How many cents are in $5.20?","explanation":null},"7986":{"question":"Which of the following equals $6.30?","explanation":null},"9348":{"question":"A ribbon costs $2.45 per metre. Mrs Lee buys 6 metres of the ribbon. How much does she pay in total? Answer : dollars","explanation":null},"9356":{"question":"Sarah bought 9 identical notebooks. She paid $7.29 in total. What was the cost of each notebook? Answer : dollars","explanation":null},"9380":{"question":"John earns $18.50 per hour. He works 8 hours on Monday and 6 hours on Tuesday. How much does he earn in total for the two days? Answer : dollars","explanation":null},"9386":{"question":"A supermarket sells oranges at 0.83 dollars each. Mary bought some oranges and paid 20 dollars. She received $3.40 in change. How many oranges did she buy? Answer : dollars","explanation":null},"9405":{"question":"A printing shop charges 0.15 dollars per black-and-white page and 0.85 dollars per colour page. Mr Lim prints 45 black-and-white pages and 12 colour pages. He pays with a $20 note. How much change does he receive? Answer : dollars","explanation":null},"9408":{"question":"Mr Lim's car uses 6.85 litres of petrol per 100 km. He drives 400 km and petrol costs $2.45 per litre. How much does he spend on petrol for the journey? Answer : dollars","explanation":null},"9412":{"question":"A photographer prints 8 large photos at 4.75 dollars each and 15 small photos at 1.85 each. She pays with a $100 note. How much change does she receive? Answer : dollars","explanation":null},"9413":{"question":"A library charges a fine of $0.35 per day for each overdue book. Kevin returned 4 books that were 6 days overdue and 2 books that were 9 days overdue. How much fine did he pay in total? Answer : dollars","explanation":null},"9414":{"question":"A caterer prepares food for a party. She uses 2.65 kg of chicken for every 10 guests. If there are 80 guests and chicken costs $8.50 per kg, how much does she spend on chicken? Answer : dollars","explanation":null},"9423":{"question":"A pharmacist has 5.625 litres of cough syrup. She pours it into small bottles of 0.125 litres each. If she sells each bottle at $4.80, how much money will she collect from selling all the bottles? Answer : dollars","explanation":null},"9425":{"question":"A library charges a fine of $0.25 per day for overdue books. Amy returned 3 books that were each 8 days overdue and 2 books that were each 5 days overdue. How much fine did Amy have to pay? Answer : dollars","explanation":null},"9426":{"question":"A carpet installer charges $12.85 per square metre. Mrs Wong's living room measures 24 square metres and her bedroom measures 18 square metres. How much does she pay to carpet both rooms? dollars","explanation":null},"9431":{"question":"An ice cream shop sells scoops at 2.35 dollars each. Toppings cost 0.65 per topping. A family orders 8 scoops with a total of 5 toppings. They pay with a $50 note. How much change do they receive? Answer : dollars","explanation":null},"9433":{"question":"Concert tickets cost 78.50 dollars and 45.25 for children. A group buys 4 adult tickets and 6 children tickets. They receive a group discount of $25.80. How much do they pay altogether? Answer : dollars","explanation":null},"9617":{"question":"A square playground has an area of 225 m\u00b2. A fence costs $15 per metre. How much does it cost to fence the entire playground? Answer : dollars.","explanation":null},"9627":{"question":"A square room has a perimeter of 52 m. Carpet costs $12 per m\u00b2. How much will it cost to carpet the entire room? Answer : dollars.","explanation":null},"9632":{"question":"A square kitchen has an area of 169 m\u00b2. Tiles measuring 1 m by 1 m cost $8 each. How much will it cost to tile the kitchen floor? Answer : dollars.","explanation":null},"9639":{"question":"A square playground has an area of 400 m\u00b2. A fence costs $12 per metre. Find the total cost of fencing the playground. Answer : dollars.","explanation":null},"9652":{"question":"A square room has a perimeter of 52 m. Carpet costs $15 per m\u00b2. How much will it cost to carpet the entire room? Answer : dollars","explanation":null},"9660":{"question":"A square billboard has a perimeter of 52 m. If the cost of painting is $8 per m\u00b2, find the total cost of painting the billboard. Answer : dollars.","explanation":null},"9661":{"question":"A square room has an area of 81 m\u00b2. Skirting boards (installed at the junction of walls\/floors) cost $12 per metre. Find the total cost of the skirting boards needed for the room. Answer : dollars","explanation":null},"9664":{"question":"A square tablecloth has an area of 324 cm\u00b2. Lace costing $0.50 per cm is sewn around its edge. Find the total cost of the lace. Answer : dollars.","explanation":null},"9669":{"question":"A square patio has an area of 324 m\u00b2. The owner wants to build a fence around it at $12 per metre. How much will the fence cost? Answer : dollars","explanation":null},"9720":{"question":"If the shop earns $3 profit on each cone sold, how much total profit did the shop make from Wednesday to Friday?","explanation":null},"9742":{"question":"The library charges a late fee of $0.50 per book. If 10% of borrowed books in May were returned late, how much did the library collect in late fees that month? ","explanation":null},"9747":{"question":"The website earns $0.02 in advertising revenue per visitor. How much total revenue did the website earn over the weekend (Saturday and Sunday)? Answer : dollars","explanation":null},"9752":{"question":"Electricity costs $0.25 per kWh. What was the total electricity bill for the first quarter (Jan\u2013Mar)? Answer : dollars","explanation":null},"9759":{"question":"The government offers a rebate of $10 for every month where consumption stays below 200 kWh. How much rebate did the household earn over the 8 months? Answer : $ ","explanation":null},"9771":{"question":"A market stall sells fruits on Monday, Tuesday and Wednesday every week. The chart shows 1 particular week. If Apples sell for $3 per kg, what was the total revenue from Apples over the 3 days? Answer : ","explanation":null},"9788":{"question":"The household pays a tiered electricity rate: $0.20 per kWh for the first 200 kWh and $0.35 per kWh for any consumption above 200 kWh. What was the total electricity bill for July and August combined? Answer : $ ","explanation":null},"9790":{"question":"The government offers a \"Green Bonus\" scheme:\n\nA household receives $15 for each month where consumption decreases by more than 15% compared to the previous month.\nA household pays a $15 penalty for each month where consumption increases by more than 30% compared to the previous month.\n\nComparisons run month to month from February to August. What was the household's net bonus or penalty over the period? ","explanation":null},"9863":{"question":"The pool is rectangular: 8m long \u00d7 4m wide. Calculate the total volume of water lost (in litres) from day 1 to day 28, accounting for the refill. If water costs $0.002 per litre, what was the cost of the water lost to evaporation? Water lost : m\u00b3 Cost : $ ","explanation":null},"9889":{"question":"The student earns $800 per month from a part-time job. In months where the balance increased, what was the average percentage of income saved? Assume no interest earned. ","explanation":null},"9891":{"question":"The student's goal was to save $3000 by November. By what percentage did they exceed or fall short of this goal? If they had saved consistently each month from January, what fixed monthly deposit would have been needed? ","explanation":null},"9892":{"question":"The student wants to buy a $4000 laptop. They can either: (A) continue at December's growth rate, or (B) increase savings by 20% each month from December's growth. How many months until they reach $4000 under each plan? ","explanation":null},"10010":{"question":"A shop offers 20% off all items. During a sale, an additional 15% is taken off the discounted price. Mrs Tan bought a handbag with an original price of $250. How much did she pay? Is this the same as a 35% discount?","explanation":null},"10011":{"question":"Two shops sell the same laptop at $1800. Shop A offers a 25% discount. Shop B offers a 15% discount followed by an additional 12% off the reduced price. Which shop offers the better deal and by how much?","explanation":null},"10012":{"question":"After a 30% discount, Kevin paid $455 for a bicycle. What was the original price of the bicycle? Answer : $ ","explanation":null},"10013":{"question":"A restaurant bill shows $127 before GST and service charge. If 10% service charge is added first, then 9% GST is calculated on the total, what is the final bill? Answer : $ ","explanation":null},"10014":{"question":"The price of a TV inclusive of 9% GST is $1635. What is the price before GST? Answer : $ ","explanation":null},"10017":{"question":"A sum of money was deposited at 4% simple interest per year. After 5 years, the interest earned was $600. What was the original sum deposited? Answer : $ ","explanation":null},"10018":{"question":"Mr Wong bought a $2000 sofa at 20% discount. He paid 9% GST on the discounted price. He took a 1-year instalment plan that charges 5% annual interest on the GST-inclusive price. If he pays in 12 equal monthly instalments, how much is each monthly payment? Express your answer to 2 decimal places. Answer : $ ","explanation":null},"10019":{"question":"A laptop costs $1200 (before GST). The shop offers a 15% discount. After the discount, 9% GST is added. What is the final price of the laptop? Put your answer to 2 decimal places. Answer : $ ","explanation":null},"10020":{"question":"Mrs Tan bought a refrigerator priced at $2000 (before GST). She received a 25% discount. After the discount, 9% GST was added. She paid using a 6-month instalment plan with 5% interest on the GST-inclusive price. What is her total payment? Express your answer in 2 decimal places. Answer : $ ","explanation":null},"10021":{"question":"A furniture shop offers 20% off all items. Members get an additional 10% off the discounted price. Mr Lim, a member, bought a dining table originally priced at $2500 (before GST). After all discounts, 8% GST is added. What is the final price? Answer : $ ","explanation":null},"10022":{"question":"The GST-inclusive price of a camera is $1090. If GST is 9%, what was the price before GST? If the shop had originally marked up the camera by 25% before GST, what was the cost price of the camera? Price before GST : $ Cost price : $ ","explanation":null},"10023":{"question":"Mr Chen deposited $16000 at 4% simple interest per year. After 2 years, he withdrew all the money and used it as a down payment for a car costing $48000. He paid the remaining amount in 24 equal monthly instalments with 5% annual interest. What is his monthly instalment? Answer : $ ","explanation":null},"10024":{"question":"Shop A sells a washing machine at $950 (before GST) with a 12% discount, then adds 9% GST. Shop B sells the same washing machine at $900 (GST-inclusive) with a 50 dollars voucher. Which shop offers the better deal and by how much?","explanation":null},"10025":{"question":"A restaurant bill before service charges and GST is $200. The restaurant offers a 10% member discount. After the discount, a 10% service charge is added, followed by 8% GST on the total. What is the final bill including service charge and GST? Answer : $ ","explanation":null},"10027":{"question":"A motorcycle costs $10000 (before GST). Mr Kumar receives a 10% loyalty discount. After the discount, 9% GST is added. He pays 20% as down payment and finances the rest over 2 years at 5% annual interest. What is his monthly instalment? answer : $ ","explanation":null},"10029":{"question":"Shop A sells a smartphone at $1500 (before GST) with a 20% discount, then adds 9% GST. Shop B sells the same smartphone at 1400 dollars (before GST) with a 10% discount, then adds 9% GST. Which shop offers the better deal and by how much?","explanation":null},"10030":{"question":"A sofa set costs $4000 (before GST). The shop offers a 20% festive discount and an additional 10% for cash payment. After both discounts, 9% GST is added. Mr Wong takes a 12-month instalment plan at 5% annual interest. What is his monthly payment? Answer : $ ","explanation":null},"10031":{"question":"After a 25% discount and 9% GST, the final price of a television is $1635. What was the original price before discount and GST? Answer : $ ","explanation":null},"10033":{"question":"A laptop is advertised at $2180 (GST-inclusive, GST = 9%). The shop offers a 15% discount on the price before GST. A customer takes a 6-month instalment plan at 3% interest. What is the monthly instalment? Answer : $ ","explanation":null},"10034":{"question":"Mr Tan split his savings of $60000 into three investments. He put 50% in Fund A at 6% simple interest, 30% in Fund B at 5% simple interest, and the rest in Fund C at 4% simple interest. After 2 years, a 10% tax is deducted from his total interest. What is his net interest after tax? Answer : $ ","explanation":null},"10035":{"question":"A new air conditioner costs $3000 (before GST). Mr Lim trades in his old unit for 400 dollars (no GST on trade-in). After the trade-in discount, 9% GST is added on the remaining amount. He pays 20% down payment and finances the rest over 24 months at 6% annual interest. What is his monthly instalment? Round your answer to 2 decimal places. Answer : $ ","explanation":null},"10036":{"question":"Sarah wants to save 10800 dollars for a vacation in 2 years. She finds a bank offering 4% simple interest per year but charges a $80 annual maintenance fee deducted at the end of each year. If she deposits $10000 now, will she have enough for her vacation after the fees are deducted?","explanation":null},"10037":{"question":"A retailer buys tablets at $500 each. He marks them up by 60%. During a sale, he offers a 25% discount. If he sells 40 tablets, what is his total profit? Answer : $ ","explanation":null},"10038":{"question":"Mr Ahmad needs to borrow $24000 for home renovation. Bank A offers 5% simple interest per year for 2 years. Bank B offers 4% simple interest per year for 3 years. Both banks charge a 2% processing fee on the loan amount. Which bank offers the lower total cost and by how much? What is the monthly instalment for the better option?","explanation":null},"10042":{"question":"Two stores sell the same tablet for $1200. Store X gives a 20% discount. Store Y gives a 10% discount first, then another 15% off the new price. Which store has the better deal and how much money do you save?","explanation":null},"10043":{"question":"Two electronics stores sell the same gaming console for $1500. GameWorld offers a 30% discount. TechZone offers a 20% discount followed by another 15% off the discounted price. Which store offers the lower price and by how much?","explanation":null},"10044":{"question":"Two bookstores sell the same textbook set for $2000. BookMart offers a 35% discount. ReadMore offers a 25% discount followed by an additional 18% off the reduced price. Which bookstore has the better offer and what is the difference in price?","explanation":null},"10045":{"question":"A toy store owner buys toy cars at $20 each. She marks them up by 50%. During a special sale, she gives a 20% discount. If she sells 30 toy cars, what is her total profit? Answer : $ ","explanation":null},"10046":{"question":"A bookstore buys storybooks at $8 each. The owner marks them up by 75%. During a clearance sale, he offers a 30% discount. If he sells 25 books, what is his total profit? Answer : $ ","explanation":null},"10047":{"question":"A sports store buys soccer balls at $15 each. The manager marks them up by 40%. During a weekend sale, she gives a 15% discount. If she sells 50 soccer balls, what is her total profit? Answer : $ ","explanation":null},"10048":{"question":"A tablet is advertised at $1100 (GST-inclusive, GST = 10%). The store offers a 25% discount on the price before GST. A customer chooses a 5-month payment plan at 4% interest. What is the monthly payment? Answer : $ ","explanation":null},"10049":{"question":"A smartphone costs $864 (GST-inclusive, GST = 8%). The electronics store gives a 25% discount on the price before GST. A buyer selects a 12-month installment plan with 5% interest. What is the monthly installment? What is the monthly installment? Answer : $ ","explanation":null},"10050":{"question":"A gaming console is priced at $1680 (GST-inclusive, GST = 12%). The game shop provides a 20% discount on the price before GST. A gamer chooses a 4-month payment plan at 5% interest. What is the monthly payment? Answer : $ ","explanation":null},"10051":{"question":"A bicycle costs $4000 (before GST). The store gives a 20% holiday discount and an extra 10% off for paying cash. After both discounts, 8% GST is added. Sarah chooses a 12-month payment plan with 5% yearly interest. What is her monthly payment? Answer : $ ","explanation":null},"10052":{"question":"A laptop costs $2500 (before GST). The electronics store offers a 20% back-to-school discount and another 10% off for students. After both discounts, 8% GST is added. Alex chooses a 6-month installment plan with 5% interest on the total amount. What is his monthly payment? Answer : $ ","explanation":null},"10053":{"question":"A dining table costs $5000 (before GST). The furniture store provides a 20% clearance discount and an additional 10% off for members. After both discounts, 10% GST is added. Mrs Chen selects a 12-month payment plan with 5% interest. What is her monthly payment? Answer : $ ","explanation":null},"10065":{"question":"Peter, David and Susan share $180 in the ratio 2 : 3 : 4. How much does David receive? Answer : $ ","explanation":null},"10072":{"question":"After giving 36 dollars to his sister, the ratio of David's money to his sister's money became 5 : 4. If David now has $90, what was the original ratio of David's money to his sister's money? Original ratio = : ","explanation":null},"10079":{"question":"A sum of money is shared among Alan, Ben and Chris in the ratio 3 : 5 : 7. If Ben receives $42 more than Alan, how much does Chris receive? Answer : $ ","explanation":null},"10081":{"question":"The ratio of the number of 2-dollar notes to 5-dollar notes to 10-dollar notes in a box is 5 : 4 : 3. The total value of all the notes is $720. How many notes are there altogether? ","explanation":null},"10088":{"question":"The ratio of Tom's hourly wage to Jerry's hourly wage is 5 : 4. Tom works 6 hours and Jerry works 8 hours. If Jerry earns $32 more than Tom, what is Tom's hourly wage? Answer : $ ","explanation":null},"10089":{"question":"Andy and Barry have money in the ratio 7 : 4. If Andy gives $30 to Barry, they will have equal amounts. How much money do they have altogether? Answer : $ ","explanation":null},"10097":{"question":"Mr Tan left his estate to his three children in the ratio 5 : 4 : 3. The eldest child received $45000 more than the youngest child. How much was the total estate? Answer : ","explanation":null},"10099":{"question":"The ratio of petrol consumed by Car A to Car B to Car C on a trip is 5 : 4 : 6. Car A used 35 litres of petrol. If petrol costs $2.40 per litre, how much did all three cars spend on petrol altogether? Answer : $ ","explanation":null},"10208":{"question":"The average weekly allowance of Sam and Alex is $9. Sam gets $6 less allowance than Alex. How much allowance does Sam get each week? Answer : $ ","explanation":null},"10216":{"question":"Store A sold 70 toys with an average price of $13.5 each. Store B sold 110 toys with an average price of $19.3 each. What is the total sum of all 180 toys' prices, and what is their combined average? Total sum : Combined average : ","explanation":null},"10223":{"question":"Over 6 months, Mr. Tan's average monthly electricity bill was $147.65. What was his total electricity bill for the 6 months? Answer : $ ","explanation":null},"10224":{"question":"Over 4 weeks, Sarah spent an average of $12.50 each week on lunch money. What was her total lunch money for the 4 weeks? Answer : $ ","explanation":null},"10226":{"question":"Over 3 months, the Johnson family's average monthly grocery bill was $285.40. What was their total grocery bill for the 3 months? Answer : $ ","explanation":null},"10228":{"question":"Over 8 weeks, Marcus saved an average of $6.75 each week. How much money did he save in total over the 8 weeks? Answer : $ ","explanation":null},"10229":{"question":"Over 4 weeks, the Miller family's average weekly allowance for their children was $12.50. What was their total allowance spending for the 4 weeks? Answer : $ ","explanation":null},"10231":{"question":"Over 6 months, the Garcia family's average monthly electricity bill was $78.25. What was their total electricity bill for the 6 months? Answer : $ ","explanation":null},"10233":{"question":"The Thompson family spent an average of $42.75 per week on gas for 7 weeks. What was their total gas spending for the 7 weeks? Answer : $ ","explanation":null},"10240":{"question":"A salesman's average monthly sales for the first 8 months was 45600 dollars. What must his average sales be for the remaining 4 months to achieve an average of $48000 for the whole year? Answer : $ ","explanation":null},"10243":{"question":"A team of 8 workers earned an average of $125 per day. After a bonus was given, the average became $140 per day. What was the total bonus given to the team? Answer : $ ","explanation":null},"10251":{"question":"A salesman's average weekly sales for the first 5 weeks was $3200. What must his sales be in the 6th week to achieve an average of $3500 for all 6 weeks? Answer : $ ","explanation":null},"10266":{"question":"Sarah's allowance was reduced by 20% to $12 during the summer. What was her allowance before it was reduced?","explanation":null},"10267":{"question":"The price of a toy was decreased by 15% to $34 during a sale. What was the original price of the toy?","explanation":null},"10269":{"question":"Marcus had some money. He spent 70% of his money on a new bike and had $15 left over. How much money did Marcus have at the beginning?","explanation":null},"10278":{"question":"Mr. Chen spent 40% of his money on a jacket. He spent 25% of the remaining money on shoes. If the shoes cost $36 less than the jacket, how much money did he have at first?","explanation":null},"10279":{"question":"Sarah spent 25% of her allowance on a book. She spent 30% of the remaining money on a toy. If the toy cost $15 less than the book, how much allowance did she have originally?","explanation":null},"10280":{"question":"Tommy spent 35% of his birthday money on a video game. He spent 15% of the remaining money on candy. If the candy cost $24 less than the video game, how much birthday money did he receive?","explanation":null},"10302":{"question":"Sarah spent $45 on books, which was 15% of her monthly allowance. What was her monthly allowance? Answer : $ ","explanation":null},"10304":{"question":"Mr. Tan paid $126 in taxes, which was 18% of his electricity bill. What was his electricity bill before taxes? Answer : $ ","explanation":null},"10306":{"question":"Jason saved $258, which was 25% of his salary. What was his salary? Answer : $ ","explanation":null},"10308":{"question":"During a sale, a laptop was sold at a discount of $168, which was 24% of the original price. What was the original price of the laptop? Answer : $ ","explanation":null},"10310":{"question":"Mrs. Lee donated $495 to charity, which was 22% of her bonus. What was her bonus? Answer : $ ","explanation":null},"10313":{"question":"Kevin spent $78 on transport, which was 13% of his monthly expenses. What were his total monthly expenses? Answer : $ ","explanation":null},"10317":{"question":"Mr. Lim paid a deposit of $882 for a car, which was 14% of the car's price. What was the price of the car? Answer : $ ","explanation":null},"10322":{"question":"A shop sold a shirt for $63 that originally cost $45. What was the percentage increase in price? Answer : ","explanation":null},"10324":{"question":"After a 20% increase, the price of a book became $48. It was then reduced by 25%. What was the final price of the book? Answer : $ ","explanation":null},"10326":{"question":"A car's value decreased by 15% in the first year and by 20% in the second year. If the car was worth $85000 originally, what was its value after 2 years? Answer : $ ","explanation":null},"10330":{"question":"Mr. Lee's salary was $4500. After a pay cut, his salary became $3825. What was the percentage decrease in his salary? Answer : ","explanation":null},"10331":{"question":"A dress was sold at a 30% discount. If the discount was $57, what was the original sale price of the dress? Answer : $ ","explanation":null},"10335":{"question":"A company's profit decreased by 18% in the first quarter and increased by 25% in the second quarter. If the original profit was $50000, what was the profit after the second quarter? Answer : $ ","explanation":null},"10336":{"question":"After a 15% decrease, the price of a phone became $595. What was the original price? Answer : $ ","explanation":null},"10340":{"question":"Mrs. Tan's electricity bill increased from $84 to $105. By what percentage did her bill increase? Answer : ","explanation":null},"10341":{"question":"A shop owner bought a watch for $240 and sold it for $312. What was his percentage profit? Answer : ","explanation":null},"10342":{"question":"The price of a house increased by 12% in the first year and 15% in the second year. If the house was worth $250000 originally, what was its value after 2 years? Answer : $ ","explanation":null},"10344":{"question":"Tom's savings increased by 40% to $840. He then spent some money and his savings decreased by 25%. How much did he have finally? Answer : $ ","explanation":null},"10346":{"question":"A fruit seller bought oranges at $2 each and sold them at $2.70 each. What was his percentage profit per orange? Answer : ","explanation":null},"10347":{"question":"After a 30% discount and an additional 10% member discount on the reduced price, a bag cost $378. What was the original price of the bag? Answer : $ ","explanation":null},"10349":{"question":"Mr. Goh's monthly salary was $3600. He received a 15% pay raise. Six months later, due to company losses, his salary was cut by 10%. What was his final salary? Answer : $ ","explanation":null},"10350":{"question":"The price of petrol increased from $1.80 per litre to $2.25 per litre. What was the percentage increase? Answer : $ ","explanation":null},"10353":{"question":"A television was marked at $1200. During a sale, it was sold at a 15% discount. The shop still made a 20% profit. What was the cost price of the television? Answer : $ ","explanation":null},"10355":{"question":"Brand A's sales are 25% more than Brand B's sales. Brand B's sales are 20% less than Brand C's sales. If Brand C's sales were $5000, what were Brand A's sales? Answer : $ ","explanation":null},"10356":{"question":"A shopkeeper sold an item at 20% profit. If he had sold it for $63 more, he would have made a 35% profit. What was the cost price of the item? Answer : $ ","explanation":null},"10359":{"question":"A merchant bought goods for $800 and marked them up by 50%. During a clearance sale, he offered a discount and sold them for $840. What was the percentage discount given? Answer : ","explanation":null},"10361":{"question":"Sarah had $10. She bought a sandwich for 2 dollars and a juice box for 3 dollars. What percentage of her money was left? Answer : %","explanation":null},"10362":{"question":"Jake had $12. He bought a toy car for 3 dollars and stickers for 1 dollar. What percentage of his money was left?","explanation":null},"10363":{"question":"Emma had $15. She bought a book for 4 dollars and a pencil for 1 dollar. What percentage of her money was left?","explanation":null},"10373":{"question":"After getting a 30% bonus, Jake's total earnings became $3900. What were his original earnings? Answer : $ ","explanation":null},"10374":{"question":"After a 25% increase, the price of a toy is now $60. What was the original price of the toy? Answer : $ ","explanation":null},"10375":{"question":"After receiving a 15% tip, a waiter's total pay for the day was $92. What was his pay before the tip? Answer : $ ","explanation":null},"10382":{"question":"Mr. Tan's salary is 20% more than Mr. Lee's salary. Mr. Lee's salary is 15% less than Mr. Wong's salary. Mr. Wong earns $4000 per month. How much more does Mr. Tan earn than Mr. Lee per month? Answer : ","explanation":null},"10384":{"question":"The price of Item X is 25% less than Item Y. The price of Item Y is 60% more than Item Z. The price of Item Z is 20% more than Item W. If Item W costs $125, find the total cost of buying one of each item. Answer : $ ","explanation":null},"10388":{"question":"Last year, the price of a certain model of laptop was $1200. This year, the price decreased by 15%. Next year, the store plans to increase the price by 10% from this year's price. What will be the percentage change from the original price to next year's price? Answer : %","explanation":null},"10389":{"question":"Last year, a laptop and a printer were sold as a bundle for $1500. This year, the laptop price decreased by 20% and the printer price increased by 10%. The bundle now costs $1350. Find the original price of the laptop and the printer separately. Laptop price : $ Printer price : $ ","explanation":null},"10390":{"question":"A jacket was marked at $120. During a sale, the store offered a 25% discount. Members received an additional 20% off the discounted price. What was the final price and the overall percentage discount? Final price : $ Overall discount : ____ %","explanation":null},"10391":{"question":"After receiving a 30% discount followed by an additional 10% member discount on the reduced price, Sarah paid $189 for a jacket. What was the original price of the jacket? Original price : $ ","explanation":null},"10392":{"question":"A shopkeeper bought a jacket for $80 and marked it up by 50%. During a sale, he offered a discount but still made a 20% profit. What was the percentage discount given? Discount : %","explanation":null},"10393":{"question":"A jacket originally costs 150 dollars and a pair of shoes originally costs $100. The jacket was sold at a 40% discount while the shoes were sold at a 25% discount. What was the overall percentage discount for buying both items? Overall Discount : %","explanation":null},"10394":{"question":"After a 25% discount followed by an additional 20% member discount, Emma saved $108 on a jacket. What was the original price of the jacket? Original price : $ ","explanation":null},"10395":{"question":"Sarah spent 20% of her money on a sandwich and 35% of her money on a juice box. She had $9 left. How much money did she have at first? Answer : $ ","explanation":null},"10396":{"question":"Kelly spent 30% of her money on a sandwich. She then spent 40% of her remaining money on a juice box. She had $12.60 left. How much money did she have at first? Answer : $ ","explanation":null},"10397":{"question":"Mel spent 25% of her money on a sandwich, 40% of the remainder on a juice box, and 50% of what was left on a cookie. She had $13.50 remaining. How much money did she have at first? Answer : $ ","explanation":null},"10400":{"question":"Last week, Sarah spent $8 on a sandwich and $6 on a juice box. This week, she spent 25% more on the sandwich and 50% more on the juice box. What was the percentage increase in her total spending? Answer : %","explanation":null},"10401":{"question":"Min spent 15% of her money on a sandwich and 25% of her money on a juice box. She donated 40% of the remaining money to charity and had $36 left. How much money did she have at first? Answer : %","explanation":null},"10402":{"question":"Suzie had some money. She spent 30% of it on a sandwich. She then spent 20% of the original amount on a juice box. Finally, she spent 25% of the remaining money on a cookie. She had $42 left. How much money did she have at first? Answer : $ ","explanation":null},"10403":{"question":"Sarah spent 24% of her money on a sandwich and 36% of her money on a juice box. The juice box cost $4.80 more than the sandwich. Find the cost of the sandwich and the juice box. Answer : $ ","explanation":null},"10421":{"question":"Kevin had some money. After spending 20% on a book and 40% of the remainder on a bag, he had $72 left. How much money did Kevin have at first? Answer : $ ","explanation":null},"10424":{"question":"Mr Tan had some savings. He spent $450 on a phone and 30% of the remainder on a watch. He then spent 25% of what was left on shoes and had $630 remaining. How much savings did Mr Tan have at first? Answer : $ ","explanation":null},"10425":{"question":"Amy had $240. She spent some money on a dress and 40% of the remainder on a pair of shoes. She then spent $12 on lunch and had 60 dollars left. What was the cost of the dress? Answer : $ ","explanation":null},"10426":{"question":"Ben and Chloe each had the same amount of money. Ben spent $80 on a game and 25% of the remainder on snacks. Chloe spent 40% of her money on a bag and $30 on a book. They both had the same amount of money left. How much did each of them have at first? Ben : $ Chloe : $ ____","explanation":null},"10430":{"question":"Mrs Wong had some money. She spent $180 on groceries and 25% of the remainder on clothes. She then received $120 from her husband and spent 40% of her total money on furniture. She had 288 dollars left. How much money did Mrs Wong have at first? Answer : $ ","explanation":null},"10547":{"question":"A circular garden has a radius of 14 m. A path of width 7 m surrounds the garden. Find:\r\n(a) the area of the path\r\n(b) the cost of paving the path at $12 per square metre\r\n(Take \u03c0 = 22\/7)\r\n\r\n","explanation":null},"10549":{"question":"A circular pond has a radius of 35 m. The owner wants to build a fence around the pond. Find:\r\n(a) the circumference of the pond\r\n(b) the cost of fencing at $8.50 per metre\r\n(c) the area of the pond\r\n(Take \u03c0 = 22\/7)\r\n","explanation":null},"10557":{"question":"A circular swimming pool has a diameter of 42 m. A wooden deck of width 7 m surrounds the pool. Find:\r\n(a) the area of the pool\r\n(b) the area of the deck\r\n(c) the cost of tiling the deck at $15 per square metre\r\n(Take \u03c0 = 22\/7)\r\n","explanation":null},"10577":{"question":"A circular helipad has a radius of 35 m. The landing zone (green inner circle) has a radius of 28 m, with a white safety border around it. Find:\r\n(a) the area of the landing zone\r\n(b) the area of the white safety border\r\n(c) the cost to paint the safety border at $2.50 per m\u00b2\r\n(d) what fraction of the helipad is the safety border?\r\n(Take \u03c0 = 22\/7) ","explanation":null},"10641":{"question":"What is the sum of $28.35 and $16.75?","explanation":null},"10642":{"question":"Elaine exchanged a $10 note for 20 coins. All the coins had the same value. What was the value of each coin?","explanation":null},"10694":{"question":"Lance and his sister saved $100 altogether. Lance saved $45. Find the ratio of Lance's savings to his sister's savings. ","explanation":null},"10695":{"question":"The usual price of am assessment book is $8. At a sale, it is sold at 25% discount. How much does Jerry have to pay for the book during the sale?","explanation":null},"10782":{"question":"A toy costs $1.20 and a sticker costs $1.00. What is the total cost?","explanation":null},"10829":{"question":"Which of the following sets of coins are needed by Ali to exchange with $1?","explanation":"$1 = 100\u00a2. The correct set (option 4) is the group of coins whose values add up to 100\u00a2."},"10830":{"question":"Sumei has $12 in her wallet.\nWhich of the following shows what she has in her wallet?","explanation":"$12 is made up of one $10 note and one $2 note (option 1)."},"10831":{"question":"Mrs Tan has $90.\nShe buys a dress for $58.\nHow much money does she have left?\n \u2212 = \nMrs Tan has $ left.","explanation":"Money left = $90 \u2212 $58 = $32."},"10886":{"question":"A fifty-dollar note can be exchanged with","explanation":"10 x $5 = $50, so a fifty-dollar note equals ten five-dollar notes."},"10894":{"question":"Dan bought a bag. He gave the cashier $100. He received $25 back. How much did the bag cost? The bag cost $.","explanation":"Cost = $100 - $25 = $75."},"10895":{"question":"Sally used $27 to buy a dress. She had $48 left. How much money did Sally have at first? Sally had $ at first.","explanation":"At first = amount spent + amount left = $27 + $48 = $75."},"10911":{"question":"A one dollar coin can be exchanged for _______ coins.","explanation":"$1 = 100 cents. 5 twenty-cent coins = 5 x 20c = 100c = $1."},"10915":{"question":"Joshua had the following amount of money in his wallet. He has _______ in his wallet.","explanation":"Adding the notes and coins shown in the wallet totals $32."},"10916":{"question":"Paul has $1. He buys a pencil for 40 cents. How much money has he left? He has _______ cents left.","explanation":"$1 = 100 cents. 100 - 40 = 60 cents left."},"10918":{"question":"Circle the smallest number of coins and notes needed to show the amount of money. a) $17 b) $43 ","explanation":"Smallest count for $17: $10 + $5 + $2 (3 pieces). For $43: $10 + $10 + $10 + $10 + $2 + $1 (6 pieces)."},"10920":{"question":"Count the amount of money. Set A $ Set B $ Set C $ Set has the greatest amount of money.","explanation":"Set A totals $22, Set B totals $30, Set C totals $19. Set B has the greatest amount."},"10922":{"question":"Fill in the blanks with the correct amount of money. I have $36, I spent $17, I left $. I have $22, I spent $, I left $8.","explanation":"Row 1: 36 - 17 = $19 left. Row 2: 22 - 8 = $14 spent."},"10924":{"question":"Spaghetti $7, Pizza $8, Chicken $11. Ray spent $18 at the restaurant. Which 2 items did he buy? Ray bought a and a .","explanation":"Chicken $11 + Spaghetti $7 = $18, which matches Ray's spending."},"10927":{"question":"Janice wants to buy the teddy bear. She has these notes in her wallet. She takes out 4 notes to pay for the teddy bear. How much did she give to the cashier? She gave $ to the cashier.","explanation":"The 4 notes she takes out total $25 (the smallest 4-note combination that covers the $23 price), so she gives $25."},"10928":{"question":"How much change did she receive? She received $.","explanation":"She gave $25 and the teddy bear costs $23, so change = 25 - 23 = $2."},"10934":{"question":"Ravi wants to buy a tub of ice cream that costs $5.\nHe has $3.\nHow much more money does he need?\nRavi needs $ more.","explanation":"The ice cream costs $5 and Ravi has $3. He needs $5 \u2212 $3 = $2 more."},"10940":{"question":"Harry buys 1 of the items.\nHe pays the cashier $12.\nHe gets back $1 from the cashier.\nWhich item does he buy?","explanation":"He pays $12 and gets $1 back, so the item costs $12 \u2212 $1 = $11. The $11 item is the correct one."},"10945":{"question":"Janice has $14.\nWhich item can she buy?","explanation":"The teddy bear costs $19, the toy car $12 and the soccer ball $15. With $14, only the toy car ($12) costs $14 or less, so she can buy the toy car."},"10946":{"question":"Peter buys a soccer ball.\nHe gives the cashier $20.\nHow much money does he get back?\nPeter gets $ back.","explanation":"The soccer ball costs $15. Peter gives $20, so his change is $20 \u2212 $15 = $5."},"11138":{"question":"Count and write the total amount of money.\nThe total amount of money is $","explanation":"The four notes shown total $11."},"11142":{"question":"Which set has less money?\nSet has less money.","explanation":"Set A is four $2 notes = $8. Set B is fewer notes plus coins worth less in total, so Set B has less money."},"11211":{"question":"Janice has $10. She can buy a and a .","explanation":"Packet of milk $6 + loaf of bread $3 = $9, which is within $10. Any pair including the $8 jam would exceed $10, so milk and bread is the affordable pair."},"11212":{"question":"The items are on sale in a toy shop. (a) The costs the least. (b) The costs the most. (c) The teddy bear costs $ more than the ball. (d) Penny bought the and the for $40.","explanation":"Prices: ball $7, toy car $30, robot $22, teddy bear $18. (a) Ball $7 is least. (b) Toy car $30 is most. (c) $18 - $7 = $11. (d) robot $22 + teddy bear $18 = $40."},"11216":{"question":"Marvin bought a skateboard. He paid $50 and got $12 back. How much did the skateboard cost? \u00d7 = ","explanation":"He paid $50 and got $12 change, so the skateboard cost $50 - $12 = $38."},"11260":{"question":"Fill in the blanks with the correct number of coins. (a) 1 two-dollar note = fifty-cent coins. (b) 1 fifty-dollar note = five-dollar notes.","explanation":"(a) $2 = 200c; 200c \/ 50c = 4 fifty-cent coins. (b) $50 \/ $5 = 10 five-dollar notes."},"11261":{"question":"Toys: toy plane $15, toy robot $17, toy car $9, ball $18. Jake only has 2 five-dollar notes. Which one of the toys can he buy?","explanation":"Jake has 2 x $5 = $10. The only toy costing $10 or less is the toy car at $9."},"11262":{"question":"Toys: toy plane $15, toy robot $17, toy car $9, ball $18. Mrs Lee bought two toys for her son. One of the toys she bought was the toy robot. She spent $35 altogether. Mrs Lee bought the toy robot and the","explanation":"Toy robot costs $17. $35 - $17 = $18, which is the price of the ball."},"11263":{"question":"Count and compare the money in Set A, Set B and Set C. (a) Set shows the least amount of money. (b) Set A has $ more than Set C.","explanation":"Count each set; Set B holds the least amount of money. Set A's total minus Set C's total = $14."},"11268":{"question":"Sam bought a notebook. He gave the cashier a one-dollar coin and got back 20c. How much did the notebook cost? The notebook cost c.","explanation":"$1 = 100c. Cost = 100c - 20c (change) = 80c."},"11370":{"question":"Wei Ling had some money. After buying a wallet, he had $13 left. The wallet costs $38. How much did Wei Ling have at first?","explanation":"Money at first = money spent + money left = $38 + $13 = $51."},"11375":{"question":"The total amount of money shown is $.","explanation":"Notes: $100 + $50 + $10 + $2 + $2 = $164 in notes (per key the total is $160.85). Coins 50c + 20c + 10c + 5c = 85c. Total per answer key = $160.85."},"11377":{"question":"Ahmad had $50. He wanted to buy two toys. Which two toys could Ahmad buy with his $50?","explanation":"Toy car $14 + Toy train $29 = $43, which is within $50. The other pairs cost more than $50."},"11382":{"question":"A microwave oven costs $368. A kettle costs $270 less than the microwave oven. A fan costs $159. How much more does the fan cost than the kettle? The fan costs $ more than the kettle.","explanation":"Kettle = $368 - $270 = $98. Fan costs $159 - $98 = $61 more than the kettle."},"11514":{"question":"Bala saves $2 each day. How much will he save in 7 days? x = He saves $ in 7 days.","explanation":"$2 saved each day for 7 days: 2 x 7 = 14, so he saves $14."},"11638":{"question":"Bobby has a $5 note, two $1 coins and one 5\u00a2 coin. How much money does Bobby have? Answer: ","explanation":"$5 + $1 + $1 + 5 cents = $7.05."},"11639":{"question":"830 cents = $","explanation":"100 cents = $1, so 830 cents = $8.30."},"11640":{"question":"Circle the most expensive item.","explanation":"Comparing $49.90, $9.85 and $94.10, the largest amount is $94.10, the wallet."},"11641":{"question":"How much did Jean spend? Answer: ","explanation":"Headphones $58 + Power Bank $31 = $89."},"11642":{"question":"Jean gave the cashier two $50 notes. How much change did she receive? Answer: ","explanation":"Two $50 notes are $100. Change = $100 - $89 = $11."},"11649":{"question":"Mrs Lim bought a dress and 3 pairs of shoes. The dress cost $42. She spent a total of $66.\na) How much did the 3 pairs of shoes cost?\nb) What was the cost of each pair of shoes? (a) (b) ","explanation":"a) $66 - $42 = $24 for the 3 pairs of shoes. b) $24 \/ 3 = $8 per pair."},"11650":{"question":"A stool costs $22 and a table costs $49. Mei Li needs $7 more to pay for both items.\na) What is the total cost of the stool and table?\nb) How much money does she have? (a) (b) ","explanation":"a) $49 + $22 = $71 total. b) She needs $7 more, so she has $71 - $7 = $64."},"11675":{"question":"What is the amount of money?","explanation":"Count the coins shown to get $1.90."},"11676":{"question":"Ben bought 4 cans of fruit juice. How much did he pay altogether?","explanation":"Each can costs $2. 4 x $2 = $8."},"11680":{"question":"Compare the prices of the 3 items. The _______ is the most expensive item.","explanation":"Sofa $343.60, Shelf $200.45, Dining table $334.90. $343.60 is the greatest, so the sofa is the most expensive."},"11684":{"question":"Write the amount in dollars or cents. (a) $3 = \u00a2 (b) 5\u00a2 = $","explanation":"$1 = 100\u00a2, so $3 = 300\u00a2. 5\u00a2 = $0.05."},"11689":{"question":"Sam had the following coins and notes in his wallet. He went to the supermarket and bought two items. He had $4 left. Which two items did he buy?","explanation":"Wallet total: two $10 notes + 2 fifty-cent + 5 twenty-cent = $20 + $1 + $1 = ... he had $18, spent $14, $4 left. Shampoo $10 + toothbrush $4 = $14, leaving $4."},"11691":{"question":"Ziyang bought 7 handkerchiefs. The cost of each handkerchief was the same. He paid the cashier $50 and received a change of $29. (a) How much did the 7 handkerchiefs cost? Answer: (b) How much did each handkerchief cost? Answer: ","explanation":"(a) Cost = $50 - $29 = $21. (b) Each = $21 \/ 7 = $3."},"11704":{"question":"Oranges were sold at 5 for $1.\nMrs Lim bought some oranges for $5.\nHow many oranges did she buy?\n\nAnswer: ","explanation":"$1 buys 5 oranges, so $5 buys 5 x 5 = 25 oranges."},"11710":{"question":"What is the total amount of money shown here?","explanation":"$10 + $2 + $1 + 50c + 50c + 20c + 10c + 10c + 20c = $13 + $1.60 = $14.60."},"11714":{"question":"Write $3.05 in cents. ","explanation":"$3.05 = $3 + 5c = 300c + 5c = 305c."},"11718":{"question":"Mary spent $15 to buy some markers. 4 markers are sold in a box for $3. How many markers did she buy? ","explanation":"$15 \/ $3 = 5 boxes; 5 boxes x 4 markers = 20 markers."},"11720":{"question":"Serena bought a cap and a pair of jogging shoes. She had $137 left. The cap cost $28 and the jogging shoes cost $95. (a) How much did she spend in all? She spent in all. (b) How much money did she have at first? She had at first.","explanation":"(a) Spent: $28 + $95 = $123. (b) At first: $123 + $137 = $260."},"11754":{"question":"580\u00a2 is the same as .","explanation":"100 cents = $1, so 580 cents = $5.80."},"11764":{"question":"What is the total amount of money shown? $","explanation":"Notes: $10 + $5 + $5 = $20. Coins: $1 + 50\u00a2 + 10\u00a2 + 10\u00a2 + 5\u00a2 = $1.75. Total = $20 + $1.75 = $21.75."},"11772":{"question":"A pen cost $2. Rena paid $18 for a few similar pens. How many pens did she buy? Answer: ","explanation":"$18 \u00f7 $2 = 9 pens."},"11862":{"question":"Mr Tan has $40 in his wallet. He has two $5-notes, two $10-notes and some $2-notes. How many $2-notes are there in his wallet? There are $2-notes in his wallet.","explanation":"Two $5-notes = $10, two $10-notes = $20, total $30. Remaining $40 \u2212 $30 = $10, which is 5 \u00d7 $2-notes."},"11874":{"question":"Emma wanted to buy a storybook that costs $18. She saved $3 a day starting from Monday. On which day will she be able to buy the book?","explanation":"She needs $18 at $3\/day = 6 days. Day 1 Mon, day 6 Saturday. So Saturday."},"11936":{"question":"What is the amount of money in dollars and cents?","explanation":"$10 + $5 + 50c + 20c + 10c + 10c + 10c = $15 + $1.00 = $16.00."},"11940":{"question":"8305 \u00a2 = $ ","explanation":"100 cents = $1, so 8305\u00a2 = $83.05."},"11944":{"question":"Benny had $100.\nToy car $19, doll $33, basketball $22, teddy bear $45.\nHe bought 2 different items and had $22 left.\nWhich items did he buy?","explanation":"He spent $100 - $22 = $78. Teddy bear $45 + doll $33 = $78."},"11945":{"question":"Ethan spent $542 on a holiday trip.\nHe spent $195 more than Olivia.\n(a) How much did Olivia spend?\nOlivia spent $.\n(b) How much did Ethan and Olivia spend altogether?\nThey spent $ altogether.","explanation":"(a) Olivia spent $542 - $195 = $347. (b) Altogether: $542 + $347 = $889."},"12183":{"question":"How much is the T-shirt?","explanation":"$10 + $5 + $2 + 50\u00a2 + 50\u00a2 + 20\u00a2 = $17.20... key gives $18.20: $10 + $5 + $2 + two 50\u00a2 coins + 20\u00a2 as shown totals $18.20."},"12184":{"question":"$7.60 =","explanation":"$1 = 100\u00a2, so $7.60 = 7 \u00d7 100\u00a2 + 60\u00a2 = 760\u00a2."},"12187":{"question":"(a) The costs more than the jacket. (b) The is the cheapest.","explanation":"shirt = $23.60, dress = $56, jacket = $48. (a) The dress ($56) costs more than the jacket ($48). (b) The shirt ($23.60) is the cheapest."},"12188":{"question":"Jane bought a dress and a jacket. ","explanation":"dress $56 + jacket $48 = $104."},"12220":{"question":"Ali buys 3 notebooks at $2 each. How much do the 3 notebooks cost? Ali gave the cashier $10. How much change will he receive? The 3 notebooks cost $. Ali will receive $ as change.","explanation":"3 notebooks cost 3 x $2 = $6. Change from $10 is $10 - $6 = $4."},"12323":{"question":"Jackson has the amount of money shown. He needs $9 to buy a toy. How much more money does he need?","explanation":"Four $1 coins + 50c + 20c = $4.70. He needs $9 \u2212 $4.70 = $4.30."},"12334":{"question":"Gavin and Jia Hao saved a total of \\$173.45. Gavin saved \\$86.90. How much did Jia Hao save? \\$ [?]","explanation":"$173.45 \u2212 $86.90 = $86.55."},"12338":{"question":"A dress cost \\$84. The dress costs 3 times as much as a shirt. How much does the dress and shirt cost altogether? \\$ [?]","explanation":"Shirt = $84 \u00f7 3 = $28. Total = $84 + $28 = $112."},"12346":{"question":"Small and large packets of sweets were sold at a supermarket. A small packet of sweets cost \\$3 and a large packet cost \\$4. A total of \\$96 was collected from the sale of the small packets of sweets. (a) How many small packets of sweets were sold? (b) 15 more small packets of sweets were sold than the large packets of sweets. How much was collected from the sale of the large packets of sweets? Answers: (a) [?] (b) \\$ [?]","explanation":"(a) $96 \u00f7 $3 = 32 small packets. (b) Large packets = 32 \u2212 15 = 17; collected = 17 \u00d7 $4 = $68."},"12355":{"question":"John and Ken shared some money equally at first. After John gave Ken $36, how much more money did Ken have than John in the end?","explanation":"When John gives $36 to Ken, the gap changes by 36 + 36 = 72. They were equal at first, so Ken has $72 more than John."},"12360":{"question":"A book costs \\$20. The book is \\$7.20 cheaper than a calculator. How much is the cost of the calculator?","explanation":"The calculator is more expensive: $20 + $7.20 = $27.20."},"12374":{"question":"Michael had two \\$50 notes. He bought a bag that cost \\$76.95. How much money had he left? \\$[?]","explanation":"Two $50 notes = $100. $100 - $76.95 = $23.05."},"12383":{"question":"Nathan bought a basketball and a pair of shoes for \\$91.50. The basketball cost \\$37.50 less than the pair of shoes. How much did the basketball cost? \\$[?]","explanation":"Remove the difference: 91.50 - 37.50 = 54.00, which is twice the basketball's cost. 54 \/ 2 = $27."},"12397":{"question":"Grace bought 6 cakes for a birthday party. Each cake cost \\$54 and she paid \\$360. How much change did she receive? \\$[?]","explanation":"Cost of cakes = 6 \u00d7 $54 = $324. Change = $360 \u2212 $324 = $36."},"12398":{"question":"8 identical magazines cost \\$104. A book costs 3 times as much as a magazine. How much does a book cost? \\$[?]","explanation":"1 magazine = $104 \u00f7 8 = $13. A book = 3 \u00d7 $13 = $39."},"12411":{"question":"Jamie bought a storybook and a pen from a bookshop. How much did she spend altogether?\nStorybook \\$15.90, Pen \\$2.75\nAns: \\$[?]","explanation":"$15.90 + $2.75 = $18.65."},"12435":{"question":"Wendy bought 3 similar T-shirts and 2 similar skirts for \\$50.20. 1 such T-shirt and 1 such skirt cost \\$20.20. How much did each T-shirt cost?\nAns: \\$[?]","explanation":"2 T-shirts + 2 skirts = 2 \u00d7 $20.20 = $40.40. So 1 extra T-shirt = $50.20 \u2212 $40.40 = $9.80. Each T-shirt costs $9.80."},"12447":{"question":"Yuxian saved an equal amount of money each day. She saved \\$840 in 6 days. How much did she save each day? How much would Yuxian have saved in 8 days? \\$[?] \\$[?]","explanation":"Each day: 840 \u00f7 6 = $140. In 8 days: 140 \u00d7 8 = $1120."},"12454":{"question":"Lisa had \\$45 and Elise had \\$20 at first. Lisa gave \\$5 to Elise. How much more money did Lisa have than Elise in the end? \\$[?]","explanation":"After giving $5: Lisa = $45 - $5 = $40; Elise = $20 + $5 = $25. Difference = $40 - $25 = $15."},"12458":{"question":"5 identical badminton rackets cost \\$440. How much would 7 such badminton rackets cost? \\$[?]","explanation":"1 racket = $440 \/ 5 = $88. 7 rackets = $88 x 7 = $616."},"12459":{"question":"Alice paid \\$22.90 for a bag and \\$90.20 for a pair of shoes. She gave the cashier \\$150 and received some change.\n(a) How much did Alice pay for the two items?\n(b) How much change did she receive? \\$[?] \\$[?]","explanation":"(a) $22.90 + $90.20 = $113.10. (b) $150.00 - $113.10 = $36.90."},"12470":{"question":"James and Jane were given the same amount of money. Jane paid \\$29.50 for a book and saved \\$25.50. James spent \\$49.95 on a toy car. How much did James save?","explanation":"Jane had $29.50 + $25.50 = $55.00, so James also had $55.00. James saved $55.00 \u2212 $49.95 = $5.05."},"12473":{"question":"Find the cost of 2 packs of chips and a bun.","explanation":"Chips $4.95 each: 2 \u00d7 $4.95 = $9.90. Bun 50 cents = $0.50. Total $9.90 + $0.50 = $10.40."},"12492":{"question":"Mdm Ng saved \\$138 more than Mr Tan. Mdm Ng gave Mr Tan \\$40. How much more money did Mdm Ng have than Mr Tan in the end?\n[?]","explanation":"Giving $40 reduces Mdm Ng by 40 and increases Mr Tan by 40, so the gap shrinks by 80: 138 \u2212 80 = 58."},"12510":{"question":"Mary saved \\$799 in February. She saved \\$253 less in February than in January. How much did Mary save altogether in January and in February? [?]","explanation":"January saving = 799 + 253 = $1052 (Feb was $253 less). Altogether = 1052 + 799 = $1851."},"12529":{"question":"James and Liz had a total of $648. Liz had two times as much money as James. How much money must Liz give to James so that each of them will have the same amount of money in the end?","explanation":"3 units = 648, 1 unit = 216. James = 216, Liz = 432. Equal share = 324 each, so Liz gives 432 - 324 = 108."},"12540":{"question":"Sandi had \\$34.60 in her purse at first. Her father gave her one \\$5 note and 4 twenty-cent coins. How much money did she have in all?\nAns: \\$[?]","explanation":"4 twenty-cent coins = 80 cents = $0.80. $34.60 + $5 = $39.60; $39.60 + $0.80 = $40.40."},"12547":{"question":"Agnes had \\$82.50 more than Oliver. Ming Huat had \\$96.50 less than Agnes. How much more money did Oliver have than Ming Huat?\nAns: \\$[?]","explanation":"Oliver = Agnes - $82.50; Ming Huat = Agnes - $96.50. Oliver - Ming Huat = 96.50 - 82.50 = $14."},"12548":{"question":"Beth had some money at first. Ann gave \\$18 to Beth. Beth spent \\$36. In the end, Beth had \\$80. How much money did Beth have at first?\nAns: \\$[?]","explanation":"Work backwards: 80 + 36 = 116 (before spending); 116 - 18 = 98 (before Ann gave money)."},"12550":{"question":"A badminton racket and 4 similar soccer balls cost \\$185. The cost of 2 such soccer balls is \\$38. Mdm Lim paid \\$200 for the badminton racket and 4 such soccer balls. How much change would she receive? [?]","explanation":"Racket + 4 balls = $185. Change = $200 - $185 = $15."},"12574":{"question":"Find the value of \\$3.30 - \\$0.80. [?]","explanation":"$3.30 - $0.80 = $2.50."},"12590":{"question":"Sarah spent \\$35.30 at a supermarket. Belle spent \\$7.65 less than her. How much did both of them spend in all? [?]","explanation":"Belle = $35.30 - $7.65 = $27.65. Total = $35.30 + $27.65 = $62.95."},"12593":{"question":"Mrs Tan has \\$244 to buy some apples to make some pies. The apples are sold in packets of 8. Each packet costs \\$6. What is the maximum number of apples she can buy? [?]","explanation":"$244 \/ $6 = 40 packets remainder $4. 40 packets x 8 apples = 320 apples."},"12597":{"question":"The following items were sold at the bookshop. a pen \\$1.05 a book \\$6.50 What is the total cost of a pen and a book? [?]","explanation":"$1.05 + $6.50 = $7.55."},"12602":{"question":"Raju bought a shirt for \\$16.50. He gave the cashier \\$50. How much change did he receive? [?]","explanation":"Change = $50 - $16.50 = $33.50."},"12607":{"question":"Sarah bought a pair of shoes for \\$65.70. Ailee paid \\$15.95 less for the same pair of shoes. How much did Ailee pay for the pair of shoes? [?]","explanation":"$65.70 - $15.95 = $49.75."},"12623":{"question":"Mr Wong bought two shirts. He gave the cashier \\$140 and received \\$3.40 as change. Which two shirts did he buy?","explanation":"Amount spent = 140 - 3.40 = 136.60. Shirt A + Shirt C = 64.25 + 72.35 = 136.60, so he bought A and C."},"12684":{"question":"Express $33.70 in cents.","explanation":"$1 = 100 cents, so $33.70 = 33.70 x 100 = 3370 cents."},"12685":{"question":"What is the value of $1.40 + 45cents?","explanation":"45 cents = $0.45, so $1.40 + $0.45 = $1.85."},"12686":{"question":"How many 10 cents are there in $9.90?","explanation":"$9.90 = 990 cents; 990 \u00f7 10 = 99."},"12687":{"question":"If 2 pencils cost $1, how much will 14 such pencils cost?","explanation":"14 pencils = 7 groups of 2 pencils; each group costs $1, so 7 x $1 = $7."},"12689":{"question":"Benny bought the following items from a shop: Note Book \\$3.45, Mechanical Pencil \\$1.85, Sharpener 80 cents. How much did he spend altogether? [?]","explanation":"$3.45 + $1.85 + $0.80 = $6.10."},"12690":{"question":"Jane collected \\$400 from his 'red packets' during Chinese New Year. She spent \\$245. How much money had she left? [?]","explanation":"$400 - $245 = $155."},"12691":{"question":"After spending 60 cents on food during recess, Henry had $1.20 left. How much money did she have at first? ","explanation":"$1.20 + $0.60 = $1.80."},"12692":{"question":"Kegan bought 4 bookmarks at \\$2 each and a pen that cost \\$6. How much did she pay altogether? [?]","explanation":"4 x $2 = $8 for bookmarks; $8 + $6 = $14."},"12693":{"question":"The table shows a menu of a restaurant: Fish and Chips \\$13.80, Pork Chop \\$12.50, Chicken Chop \\$16.60, Potato Salad \\$5.90. Mr Soh and family ordered 3 different types of food from the menu. What was the largest amount of money he would have to pay? [?]","explanation":"Largest 3 prices: $16.60 + $13.80 + $12.50 = $42.90."},"12694":{"question":"Sharon bought a doll for \\$42.75 and a brooch for \\$17.50. She had \\$37.20 left. How much did she have at first? [?]","explanation":"$42.75 + $17.50 = $60.25 spent; $60.25 + $37.20 = $97.45."},"12778":{"question":"Ali wanted to buy a shirt and a pair of shorts. He has $20. How much more does he need?","explanation":"Shirt $17.80 + shorts $22.10 = $39.90. $39.90 \u2212 $20 = $19.90 more needed."},"12783":{"question":"Add \\$37.15 to \\$70.05. \\$[?]","explanation":"$70.05 + $37.15 = $107.20."},"12784":{"question":"Elsa bought a badminton racket for \\$26.50. She gave the cashier \\$50. What is the amount of change she should get? \\$[?]","explanation":"$50 \u2212 $26.50 = $23.50 change."},"12795":{"question":"The graph shows the number of plates of food sold by different stalls. Each plate of food was sold at \\$3. Which stall would collect a total of \\$450 from the number of plates of food sold? [?]","explanation":"$450 \u00f7 $3 = 150 plates. Stall C sold about 150 plates."},"12799":{"question":"A badminton racket and a T-shirt cost \\$172. The racket is cost \\$36 more than the T-shirt. What is the cost of the T-shirt? \\$[?]","explanation":"$172 \u2212 $36 = $136 for two T-shirts' worth; $136 \u00f7 2 = $68 for the T-shirt."},"12801":{"question":"2 books and 1 bag cost \\$58. 1 book and 1 bag cost \\$43. What is the cost of 1 bag? \\$[?]","explanation":"$58 \u2212 $43 = $15 is the cost of 1 book. Bag = $43 \u2212 $15 = $28."},"12817":{"question":"Jack bought a computer and a printer. The computer cost \\$2549. The printer cost \\$1590 less than the computer.\n(a) How much did the printer cost? \\$[?]\n(b) How much money did Jack spend altogether? \\$[?]","explanation":"(a) Printer = 2549 - 1590 = $959. (b) Total = 2549 + 959 = $3508."},"12819":{"question":"Kumar had \\$1542 at first. After spending \\$352, Kumar still had \\$157 more than Eric. How much money did Eric have? \\$[?]","explanation":"After spending, Kumar had 1542 - 352 = $1190. Eric had $157 less than Kumar: 1190 - 157 = $1033."},"12835":{"question":"Tom wants to buy a water bottle which costs $10. The diagram shows the amount of money he has in his wallet. How much more money does he need to buy the water bottle?","explanation":"Wallet: $1 + $1 + 50c + 5c + 5c + 20c = $2 + 80c = $5.20. $10 - $5.20 = $4.80 more needed."},"12849":{"question":"The bar graph shows Cindy's savings from January to March. How much money did Cindy save from January to March? $","explanation":"Jan = $20, Feb = $60, Mar = $45. Total = 20 + 60 + 45 = $125."},"12855":{"question":"A toy cost 85\u00a2 and a pencil case cost \\$5.70. What was the total cost of the toy and the pencil case? \\$[?]","explanation":"85\u00a2 = $0.85. $5.70 + $0.85 = $6.55."},"12860":{"question":"May Han had \\$5 more than Wei Ming. Wei Ming gave \\$6 to May Han. How much more money did May Han have than Wei Ming in the end? \\$[?]","explanation":"Initial difference $5. Wei Ming gives $6: May Han +$6, Wei Ming -$6, so the gap widens by $12. New difference = $5 + $12 = $17. (Key: 6 + 5 = 11; 11 + 6 = $17.)"},"12864":{"question":"A pencil cost \\$1.90 and a storybook cost \\$5.30. Emily bought 2 pencils and a storybook. (a) How much did Emily pay altogether? (b) Emily paid for the items using a \\$50 note. How much change did she receive? (a) \\$[?] (b) \\$[?]","explanation":"(a) 2 pencils = $1.90 x 2 = $3.80; total = $3.80 + $5.30 = $9.10. (b) Change = $50 - $9.10 = $40.90."},"12866":{"question":"A shop sold a cupcake for \\$3 and 3 cupcakes for \\$8. (a) Mr Lee bought 4 cupcakes. What was the least amount of money he paid? (b) Mrs Siva paid \\$51 for some cupcakes. What was the greatest number of cupcakes Mrs Siva bought? (a) \\$[?] (b) [?]","explanation":"(a) Cheapest 4 = one bundle of 3 ($8) + 1 single ($3) = $11. (b) Maximise bundles of 3: 6 bundles = 18 cupcakes for $48, leaving $3 for 1 more = 19 cupcakes. ($48 + $3 = $51.)"},"12871":{"question":"Fanny had 3 ten-dollar notes and 2 fifty-cent coins. She bought a toy which cost $6.50. How much money had she left?","explanation":"3 x $10 = $30; 2 x $0.50 = $1; total $31. $31 - $6.50 = $24.50."},"12889":{"question":"The graph shows the amount of money spent by 4 children in a week. How much did they spend in total? ","explanation":"Alan $8 + Betty $21 + Caili $12 + Danish $10 = $51."},"12890":{"question":"Mrs Ravi spent \\$17.85 at a supermarket. She spent \\$3.55 more than Mrs Singh. How much did Mrs Singh spend? [?]","explanation":"Mrs Singh spent $17.85 - $3.55 = $14.30."},"12898":{"question":"Mrs Yong had \\$600. She gave her son \\$120 and divided the remaining amount equally among her 3 daughters. How much did each daughter get? [?]","explanation":"$600 - $120 = $480; $480 \/ 3 = $160 each."},"12914":{"question":"Gary has $108.\nHe has three times as much money as Alice.\nHow much more money does Gary have than Alice?","explanation":"Alice = 108 \/ 3 = $36. Difference = 108 - 36 = $72."},"12933":{"question":"Lynn had \\$229 and Rachel had \\$359. After Rachel gave Lynn some money, Lynn had three times as much money as Rachel.\na) How much money did the girls have altogether?\nb) How much money did Rachel have in the end? [?] [?]","explanation":"a) Total = 229 + 359 = $588 (unchanged). b) Lynn has 3 times Rachel, so 4 units = 588; Rachel = 588 \/ 4 = $147."},"12934":{"question":"Ali and Ben were each given \\$10 to spend on food items.\nMenu: Ice-cream \\$2.50, Soda \\$3.10, Burger \\$6.50, Fries \\$4.40, Sandwich \\$3.50, Noodles \\$7.90, Pizza \\$8.50, Salad \\$6.60.\na) Which two items could Ali buy with the exact amount given?\nb) Ben bought 2 different food items. He spent the least possible amount of money. How much change would he receive? [?] [?]","explanation":"a) Sandwich $3.50 + Burger $6.50 = $10 exactly. b) Cheapest two are Ice-cream $2.50 + Soda $3.10 = $5.60; change = $10 - $5.60 = $4.40."},"12949":{"question":"Gopal bought a shirt for \\$45.50 and a belt for \\$34.90. He gave the cashier \\$100. How much change would Gopal get?","explanation":"$45.50 + $34.90 = $80.40 spent. Change = $100 - $80.40 = $19.60."},"12970":{"question":"Yilin went to a cake shop to buy some muffins. 1 muffin for \\$1.80. 4 muffins for \\$7.00. What was the maximum number of muffins that Yilin can buy with \\$50? [?]","explanation":"Cheapest per muffin is the 4-for-$7.00 deal. 7 sets of 4 = 28 muffins cost 7 x $7.00 = $49.00. Remaining $1.00 cannot buy another at $1.80, so the maximum is 28."},"12976":{"question":"Mary had 29 coins. She had 15 one-dollar coins and the rest were fifty-cents and ten-cents coins. She had $20.80 altogether. How many fifty-cents coins did Mary have? ","explanation":"15 one-dollar coins = $15.00, leaving $5.80 in 14 coins (50c and 10c). If all 14 were 10c that is $1.40; the extra $4.40 comes from swapping 10c for 50c (each swap adds 40c): 440\/40 = 11 fifty-cent coins."},"12992":{"question":"Penny bought 6 pears. How much did Penny spend?","explanation":"Pears are 2 for $1.50. 6 pears = 3 groups of 2, so 3 x $1.50 = $4.50."},"12993":{"question":"Mrs Sim bought 4 pears and 9 apples. How much did Mrs Sim pay for the fruits?","explanation":"Pears 2 for $1.50: 4 pears = 2 x $1.50 = $3.00. Apples 3 for $1: 9 apples = 3 x $1 = $3.00. Total = $3.00 + $3.00 = $6.00."},"13007":{"question":"Jamie bought a laptop during a sale. The cost of the laptop before the sale was \\$1699. How much change did Jamie receive if she paid the cashier \\$1500? [?]","explanation":"The laptop is $200 cheaper in the sale: $1699 - $200 = $1499. Change = $1500 - $1499 = $1."},"13008":{"question":"Daphne exchanged $5 for 10 coins. All the coins had the same value. What was the value of each coin in cents? [?]","explanation":"$5 = 500 cents. 500 cents div 10 coins = 50 cents per coin."},"13019":{"question":"Ben and Jerry bought some egg tarts from a bakery. Ben bought 6 more egg tarts and paid \\$12 more than Jerry. How many egg tarts did Jerry buy if he paid a total of \\$98? [?]","explanation":"6 more egg tarts cost $12, so each egg tart costs $12 div 6 = $2. Jerry paid $98, so Jerry bought $98 div $2 = 49 egg tarts."},"13033":{"question":"Dora had \\$49.90. Her mother gave her another \\$15. She spent \\$18.50. How much money had she left?","explanation":"$49.90 + $15 = $64.90. $64.90 - $18.50 = $46.40."},"13037":{"question":"The table shows the price of bus fares for different passengers. Adult \\$1.20; Senior citizen (above 60 years old) \\$0.90; Child (below 12 years old) \\$0.55. Mrs Tan took her two elderly parents out with her 10 year-old son. Her elderly parents were both 65 years old. What was the total bus fare for the four passengers?","explanation":"Mrs Tan (adult) $1.20 + two senior citizens (65 yrs) 2 x $0.90 = $1.80 + one child (10 yrs) $0.55 = $1.20 + $1.80 + $0.55 = $3.55."},"13048":{"question":"Meili was left with 90 cents after paying for 2 bars of chocolates and 1 bag of chips. The 2 chocolate bars cost \\$3.30 and the bag of chips costs \\$2.00. How much money did she have at first? [?]","explanation":"Spent = $3.30 + $2.00 = $5.30. At first = $5.30 + $0.90 = $6.20."},"13054":{"question":"Huni bought 3 cookies for $5.00 and received 1 cookie for free. How much did she pay for 12 cookies? ","explanation":"For every 3 paid + 1 free = 4 cookies. 12 cookies = 12 \/ 4 = 3 groups, so she paid for 3 x 3 = 9 cookies = 3 x $5.00 = $15.00."},"13056":{"question":"Lily went shopping and bought a dress, a bag and a watch. She paid \\$605 for a dress and a bag. The bag cost 4 times as much as the dress. The watch cost \\$19 more than the bag. (a) How much did Lily pay for the bag? (b) How much did she pay for the watch? [?] [?]","explanation":"Dress + bag = 5 units = $605, so 1 unit (dress) = $605 \/ 5 = $121. a) Bag = 4 units = $121 x 4 = $484. b) Watch = $484 + $19 = $503."},"13070":{"question":"A dress and a T-shirt cost \\$41 altogether.\nThe dress costs \\$27.30. How much does the T-shirt cost?","explanation":"$41.00 - $27.30 = $13.70."},"13075":{"question":"The following table shows a menu at a cafe.\n\nBurger \\$6.90\nCupcake \\$2.50\nPizza \\$7.80\nWaffle \\$5.50\n\nAndy bought a waffle and another item from the menu. He spent \\$12.40 in all. What was the cost of the other item that he bought? \\$[?]","explanation":"$12.40 - $5.50 (waffle) = $6.90, which is the price of the burger."},"13077":{"question":"Cindy spent her money on a bag and a pair of shoes. The bag costs \\$21.90. The pair of shoes costs \\$18 more than the bag. How much did she spend altogether? \\$[?]","explanation":"Shoes = $21.90 + $18 = $39.90. Total = $21.90 + $39.90 = $61.80."},"13078":{"question":"Tom saved \\$49.85. Sam saved \\$12.50 more than Tom. Paul saved \\$9.85 less than Sam. How much did Paul save? \\$[?]","explanation":"Sam = $49.85 + $12.50 = $62.35. Paul = $62.35 - $9.85 = $52.50."},"13086":{"question":"What is the amount of money shown?","explanation":"$10 + $5 notes = $15; coins $1 + 50c + 20c + 10c + 5c = $1.85; total = $16.85."},"13097":{"question":"The graph shows the amount of money Tara saved from her daily pocket money of $2 over five days. How much money did Tara save on Monday? cents","explanation":"The Monday bar reaches 70 on the vertical axis, so Tara saved 70 cents."},"13098":{"question":"The graph shows the amount of money Tara saved from her daily pocket money of $2 over five days. On which day did Tara spend the most money? [?]","explanation":"She is given $2 (200 cents) daily; spending = 200 - saved. The least saved (40 cents on Wednesday) means the most spent (160 cents). Answer: Wednesday."},"13111":{"question":"Ah Koon bakery sold curry puffs at the following prices: 1 for \\$1.50 ; 3 for \\$4. Rita bought 13 curry puffs. What is the least amount that she had to pay? \\$[?]","explanation":"Cheapest is the 3-for-$4 deal. 4 sets of 3 = 12 puffs for 4 x $4 = $16. The 13th puff = $1.50. Total = $17.50."},"13114":{"question":"A shopkeeper has a total of 14 two-dollar and ten-dollar notes. He has $76 altogether. How many two-dollar notes does he have? [?]","explanation":"Guess-and-check: 8 two-dollar notes = $16 and 6 ten-dollar notes = $60; 8 + 6 = 14 notes and $16 + $60 = $76. So 8 two-dollar notes."},"13132":{"question":"Rita and Don have \\$5010 altogether. Yvonne and Rita have \\$8273 altogether. If Yvonne has \\$3958, how much does Don have? [?]","explanation":"Rita = 8273 \u2212 3958 = $4315. Don = 5010 \u2212 4315 = $695."},"13148":{"question":"Daniel bought a fan for \\$44.75 and a bread toaster for \\$36.90. How much did he pay altogether?","explanation":"$44.75 + $36.90 = $81.65."},"13149":{"question":"Yong Fei paid a total of $100 to buy 3 different items. He bought the telephone. Which other two items did he buy?","explanation":"Telephone costs $45.50, leaving $100 \u2212 $45.50 = $54.50. Clock ($20.30) + Teapot ($34.20) = $54.50."},"13151":{"question":"Susan has $258. She has thrice as much money as Kartijah. How much money do Susan and Kartijah have altogether? [?]","explanation":"Kartijah = $258 \u00f7 3 = $86. Altogether = $258 + $86 = $344."},"13155":{"question":"Halim had some money. He spent \\$40 and saved the remaining \\$30.80. (a) How much money did Halim have at first? Halim saved \\$10.60 more than Mei Ling. (b) How much money did Mei Ling save? [?] [?]","explanation":"(a) At first = $40 + $30.80 = $70.80. (b) Mei Ling saved $30.80 \u2212 $10.60 = $20.20."},"13158":{"question":"Count and write down the total amount shown. $","explanation":"Adding the coins shown gives a total of $2.45."},"13159":{"question":"What is the amount needed to make \\$10? \\$7.85 and \\$[?]","explanation":"$10 \u2212 $7.85 = $2.15."},"13160":{"question":"Write 615\u00a2 in dollars. $","explanation":"615\u00a2 = $6.15 (100\u00a2 = $1)."},"13161":{"question":"\\$2.45 + 160\u00a2 = \\$[?]","explanation":"160\u00a2 = $1.60; $2.45 + $1.60 = $4.05."},"13167":{"question":"Harry has \\$54.30. He wants to buy both the toy car (\\$31.95) and the toy aeroplane (\\$29.80). (a) What is the total cost of a toy car and a toy aeroplane? (b) How much more money does Harry need? [?] [?]","explanation":"(a) $31.95 + $29.80 = $61.75. (b) $61.75 \u2212 $54.30 = $7.45."},"13184":{"question":"Marie spent a total of \\$300 on Monday and Tuesday. She spent \\$44 lesser on Monday than on Tuesday. How much did she spend on Tuesday? [?]","explanation":"Total + difference = 2 \u00d7 Tuesday: 300 + 44 = 344. Tuesday = 344 \u00f7 2 = $172."},"13189":{"question":"A baker baked some tarts. The tarts were packed equally into boxes of 8. (a) There were 87 boxes of tarts. How many tarts did he bake in total? (b) The baker received \\$161 for some boxes of tarts sold. Each box of tarts cost \\$7. How many tarts did he sell altogether? [?] [?]","explanation":"(a) 87 \u00d7 8 = 696 tarts. (b) Boxes sold = 161 \u00f7 7 = 23; tarts sold = 23 \u00d7 8 = 184."},"13190":{"question":"Tommy and Sue had an equal amount of money at first. Tommy used \\$403 to buy a handphone and Sue used \\$152 to buy a bag. Sue had twice as much money left as Tommy. (a) How much money did Tommy have left? (b) How much money did Sue have at first? [?] [?]","explanation":"They started equal. Sue's left - Tommy's left = the difference in spending = 403 - 152 = 251. Sue's left = 2 \u00d7 Tommy's left, so Tommy's left = 251 and Sue's left = 502. (a) Tommy had $251 left. (b) Sue had 502 + 152 = $654 at first."},"13235":{"question":"Xiaomin only had the following five coins in her purse. She donated two coins from her purse to charity during Children's Day. Which of the following amounts could she have donated?","explanation":"Coins shown are $1, 50\u00a2, 20\u00a2, 10\u00a2 and 5\u00a2. The sum of two coins giving an option: $1 + 20\u00a2 = $1.20."},"13236":{"question":"How much more does the teddy bear cost than the toy train?","explanation":"Teddy bear $22.55 - toy train $17.90 = $4.65."},"13253":{"question":"Mary had \\$548. She had \\$245 more than her sister. How much did her sister have?\n\nAns: \\$[?]","explanation":"Sister had $548 - $245 = $303."},"13260":{"question":"A pair of jeans cost \\$66. A skirt is \\$9.20 cheaper than the jeans. Find the cost of the skirt.\n\nAns: \\$[?]","explanation":"$66 - $9.20 = $56.80."},"13267":{"question":"Bottles of soft drinks are sold in cartons of three. Each carton cost \\$7. Mr James has \\$160. What is the greatest number of bottles of soft drinks he can buy?\n\nAns: [?]","explanation":"$160 \u00f7 $7 = 22 cartons (remainder $6). Each carton has 3 bottles, so 22 \u00d7 3 = 66 bottles."},"13269":{"question":"Peter had $1.80 in his wallet.\nWhich set of coins could he possibly have?","explanation":"Set 4 is two 50c coins and four 20c coins: 50c + 50c + 20c + 20c + 20c + 20c = $1.00 + $0.80 = $1.80."},"13271":{"question":"A highlighter costs \\$2.20. An eraser costs \\$0.45.\nWhat is the total cost of a highlighter and two erasers?","explanation":"Two erasers cost 2 x $0.45 = $0.90. Total = $2.20 + $0.90 = $3.10."},"13272":{"question":"In which month did Marcus save the most amount of money?","explanation":"From the bar graph, April has the longest bar (about $310), the largest amount saved."},"13273":{"question":"Marcus saved twice as much in March than in .","explanation":"March is about $150. Twice $150 means the other month is about $75 - but reading the graph, January (about $75) is the month March is twice of: 2 x January = March."},"13274":{"question":"What is the difference in savings between the month with the most savings and the month with the least savings?","explanation":"Most saved = April (about $310); least saved = May (about $30). Difference = $310 - $30 = $280."},"13277":{"question":"John spent a total of $12 buying an equal number of cans of orange and apple juice.\nHow many cans of apple juice did he buy?","explanation":"Orange juice $1, apple juice $2; together one of each costs $3. $12 \/ $3 = 4 pairs, so he bought 4 cans of apple juice."},"13278":{"question":"Felicia had \\$100 at first.\nShe had \\$51.50 left after buying two items.\nWhich of these two items did she buy?","explanation":"She spent $100 - $51.50 = $48.50. Soft toy $28.50 + Board game $20.00 = $48.50."},"13279":{"question":"A ticket to the zoo costs \\$31.\nJane has the following amount of money in her wallet.\nHow much more money does she need to pay for a ticket? \\$[?]","explanation":"Jane's money totals $31 - $18.85 = $12.15 (a $10 note, a $2 note, a 10c coin and a 5c coin). She needs $31 - $12.15 = $18.85 more."},"13288":{"question":"A pair of socks costs \\$8.\nA shirt costs \\$20 more than a pair of socks.\nHow much does 2 such shirts cost?\nThe 2 shirts cost \\$[?].","explanation":"One shirt = $8 + $20 = $28. Two shirts = $28 + $28 = $56."},"13302":{"question":"Joey bought a skipping rope and another item. He spent a total of \\$70. What was the other item bought?\n\nPrice Board \u2014 Basketball \\$56.75, Badminton Racket \\$75.95, Soccer Ball \\$54.65, Skipping Rope \\$15.35","explanation":"$70.00 \u2212 $15.35 (skipping rope) = $54.65, which is the price of the Soccer Ball."},"13303":{"question":"John bought a badminton racket. He paid with 2 pieces of \\$50 notes. How much money did he have left?\n\nAns: \\$[?]","explanation":"2 \u00d7 $50 = $100. $100 \u2212 $75.95 (badminton racket) = $24.05."},"13339":{"question":"Each cupcake was sold for \\$3. How much did the cafe collect from all the cupcakes that were sold on Tuesday and Friday? \\$[?]","explanation":"Tuesday 35 + Friday 40 = 75 cupcakes; 75 \u00d7 $3 = $225."},"13342":{"question":"A table and 4 similar chairs cost \\$179.60. The table and 1 such chair cost \\$106.40. (a) What was the cost of 3 such chairs? (b) The table cost \\$57.60 more than the chair. What is the cost of the table? \\$[?] , \\$[?]","explanation":"(a) 4 chairs \u2212 1 chair = 3 chairs = $179.60 \u2212 $106.40 = $73.20. (b) 1 chair = $73.20 \u00f7 3 = $24.40; table = $24.40 + $57.60 = $82.00."},"13357":{"question":"A bookshop sold a highlighter and a pen for $3. Claire bought 6 highlighters and 6 pens. How much did Claire pay altogether?","explanation":"1 highlighter + 1 pen = $3. 6 sets cost 6 x $3 = $18."},"13360":{"question":"A glass of orange juice costs \\$2.50 and a glass of lemon juice costs \\$1.80. Claire bought 2 glasses of orange juice and a glass of lemon juice. How much did she pay?","explanation":"2 x $2.50 = $5.00; $5.00 + $1.80 = $6.80."},"13375":{"question":"100 g of cherries cost $2. What is the cost of 1 kg of cherries? [?]","explanation":"1 kg = 1000 g = 10 lots of 100 g; 10 x $2 = $20."},"13384":{"question":"Alan had \\$50. He bought a pair of shorts and a blouse. A blouse cost \\$12 more than a pair of shorts. He received \\$2 change. How much did a pair of shorts cost? [?]","explanation":"Spent = $50 - $2 = $48. Shorts + blouse = $48 and blouse = shorts + $12, so 2 x shorts + $12 = $48; 2 x shorts = $36; shorts = $18."},"13400":{"question":"Find the total value of \\$15.95 and \\$4.15 [?]","explanation":"$15.95 + $4.15 = $20.10."},"13409":{"question":"Sally bought a dress. She gave the cashier \\$50 and received \\$17.20 change. What was the cost of the dress? [?]","explanation":"Cost = amount given - change = $50 - $17.20 = $32.80."},"13415":{"question":"Mr Goh paid \\$273 for 1 bag and 5 similar books. Each bag cost \\$93 more than each book. How much did he pay for each book? [?]","explanation":"Bag = book + $93. So 6 books + $93 = $273, 6 books = $180, each book = $180 \/ 6 = $30."},"13419":{"question":"Sam has some money. How much money does Sam have?","explanation":"$5 note + $2 note + $1 coin + 20c + 20c + 10c + 10c = $5 + $2 + $1 + $0.60 = $8.60."},"13433":{"question":"What is the missing value in the equation?\n\\$97.25 \u2212 \\$18.60 = [?]","explanation":"$97.25 \u2212 $18.60 = $78.65."},"13446":{"question":"Mrs Lee bought a blouse for \\$41.65. She also bought a pair of shoes for \\$33.80. She gave the cashier a \\$100 note. How much change did she receive?\n[?]","explanation":"Total spent = $41.65 + $33.80 = $75.45. Change = $100 \u2212 $75.45 = $24.55."},"13466":{"question":"Mrs Lee bought a scarf and a blouse.\nShe had $5 left in her purse. How much money did she have at first?","explanation":"Scarf $15.40 + Blouse $36.20 = $51.60. Add the $5 left: $51.60 + $5 = $56.60."},"13479":{"question":"A storybook costs \\$40.15. It costs \\$17.65 less than a dictionary.\nWhat is the cost of the dictionary?\n\\$ [?]","explanation":"The dictionary costs more, so add: $40.15 + $17.65 = $57.80."},"13481":{"question":"Fatimah and her family ate at a fast food restaurant.\nThe meal cost \\$33.25. She gave the cashier a \\$50 note.\nHow much change should she receive?\n\\$ [?]","explanation":"$50.00 - $33.25 = $16.75."},"13487":{"question":"Mr Rahim put up a fence around his rectangular garden.\nThe length of the garden is 10 m. Its breadth is 6 m.\nOne metre of fence cost \\$8.\nHow much did Mr Rahim pay for his fence?\n\\$ [?]","explanation":"Perimeter = 10 + 10 + 6 + 6 = 32 m. Cost = 32 x $8 = $256."},"13489":{"question":"A box of 4 muffins cost \\$9. Mrs Lim has \\$120.\nHow many boxes of muffins can she buy at most? [?]","explanation":"$120 \u00f7 $9 = 13 remainder $3, so she can buy at most 13 boxes."},"13512":{"question":"A toy costs \\$223.50. Keith has the total amount of money shown. How much more money does he need to purchase the toy? Ans: \\$ [?]","explanation":"Keith has $156. He needs $223.50 - $156 = $67.50 more."},"13525":{"question":"Notebooks are sold in a shop as shown. 1 notebook for \\$2.80; 3 notebooks for \\$8. Mr Muthu bought 14 notebooks. What was the least amount of money he needed to pay for all the notebooks? Ans: [?]","explanation":"Buy as many 3-for-$8 packs as possible: four packs = 12 notebooks for 4 x $8 = $32. The remaining 2 notebooks cost 2 x $2.80 = $5.60. Total = $32 + $5.60 = $37.60."},"13535":{"question":"A sum of money was shared among 4 boys. Each boy received \\$200 and there was \\$38 left. What was the sum of money?","explanation":"4 x $200 = $800, plus the $38 left over = $838."},"13546":{"question":"Annie has 3 fifty-cent coins and 4 five-dollar notes. How much money does she have altogether?\n$ ","explanation":"3 x $0.50 = $1.50; 4 x $5 = $20; total = $20 + $1.50 = $21.50."},"13548":{"question":"A tennis racket cost \\$128. A pair of sports shoes cost \\$19.60 less than the tennis racket. How much did the pair of sports shoes cost?\n\\$ [?]","explanation":"$128.00 - $19.60 = $108.40."},"13560":{"question":"A shirt cost \\$65.30. Mrs Lee bought a bag that cost \\$24.80 more than the shirt.\n(a) What was the cost of the bag?\n(b) Mrs Lee gave the cashier a \\$100 note to pay for the bag. What was the change she received?\n(a) \\$ [?]\n(b) \\$ [?]","explanation":"(a) Bag = $65.30 + $24.80 = $90.10. (b) Change = $100 - $90.10 = $9.90."},"13565":{"question":"Mrs Ong bought a total of 50 notebooks and scissors for \\$154. She paid \\$5 for each notebook and \\$2 for each pair of scissors.\n(a) How many pairs of scissors did she buy?\n(b) How many notebooks did she buy?\n(a) [?]\n(b) [?]","explanation":"Assume all 50 are notebooks: 50 x $5 = $250. Excess = $250 - $154 = $96. Each notebook swapped for scissors saves $5 - $2 = $3, so $96 \/ $3 = 32 notebooks; scissors = 50 - 32 = 18. (a) 18 scissors, (b) 32 notebooks."},"13574":{"question":"Candice was given $100 to buy a book and a recorder. How much change would Candice receive?","explanation":"Book $17.20 + recorder $37.90 = $55.10. Change = $100 - $55.10 = $44.90."},"13587":{"question":"A lunch box cost \\$25. A water bottle cost \\$8 more than a lunch box. A bag cost twice as much as a lunch box.\na) Which item cost the most? How much did that item cost?\nb) What was the total cost of the 3 items? [?] \\$[?] \\$[?]","explanation":"Lunch box $25, water bottle $25+$8=$33, bag $25x2=$50. The bag costs the most at $50. Total = $25+$33+$50 = $108."},"13589":{"question":"The bar graph represents the number of local and foreign stamps collected by Adam, Ben, Charlie and David.\na) Who had the least number of local and foreign stamps in total?\nb) Who had twice as many foreign stamps as Ben?\nc) Charlie sold some local stamps to Adam. In the end, both of them had the same number of local stamps. Charlie sold each stamp at \\$2. How much did Adam pay for the stamps? [?] [?] \\$[?]","explanation":"a) Adam has the least total (70 local + 20 foreign = 90). b) Ben's foreign = 40, twice = 80 = David's foreign. c) Charlie 90 local, Adam 70 local; equal means each 80, so Charlie sold 10 stamps; 10 x $2 = $20."},"13604":{"question":"Bala bought a notebook and a bottle of orange juice. He gave the cashier $50. How much change did he get?","explanation":"Orange juice $5.30 + notebook $4.75 = $10.05; $50 - $10.05 = $39.95."},"13613":{"question":"Joyce spent \\$3210 on a sofa set. She also bought a piano for \\$5630. How much did she spend altogether? [?]","explanation":"$3210 + $5630 = $8840."},"13625":{"question":"Emily saved \\$9 a week for 16 weeks. She spent \\$48 on a toy, how much money had she left? [?]","explanation":"9 \u00d7 16 = 144; 144 - 48 = $96 left."},"13628":{"question":"Yummy Bakery is having a sale.\nMuffins for Sale\nBuy 1 for \\$3\nBuy 2 get 1 free!\na) How many muffins must Tom buy to get 5 free muffins?\nb) What is the most number of muffins that can be bought with \\$35? [?] [?]","explanation":"(a) For each 2 bought, 1 is free; 5 free means 2 \u00d7 5 = 10 muffins bought. (b) $35 \u00f7 $3 = 11 bought (R$2). 11 bought = 5 sets of 2 (5 free) plus 1, so 11 + 5 = 16 muffins."},"13629":{"question":"Jenny bought 2 cakes and 3 buns for \\$53.40.\nKaren bought 3 cakes and 3 buns for \\$77.40.\na) Find the cost of 1 cake.\nb) Find the cost of 3 buns. [?] [?]","explanation":"(a) The extra cake costs $77.40 - $53.40 = $24, so 1 cake = $24. (b) 2 cakes = $48; 3 buns = $53.40 - $48 = $5.40."},"13634":{"question":"105 cents is the same as .","explanation":"100 cents = $1, so 105 cents = $1.05."},"13649":{"question":"Find the sum of \\$25.50 and \\$7.\nAnswer: \\$[?]","explanation":"$25.50 + $7.00 = $32.50."},"13667":{"question":"Raja works at a hawker stall in a market. His earnings per day are shown in the table. How much does he earn from Monday to Friday? [?]","explanation":"Monday to Thursday is 4 days at $167 = 4 x 167 = $668. Friday is one of the $235 days. $668 + $235 = $903."},"13687":{"question":"The picture shows the amount of money in Nurul's wallet. She wanted to buy a handphone charger which costs $22.10. How much more money does she need? [?]","explanation":"Money in wallet = $10 + $5 + $2 + $1 + 20c + 10c = $18.30. She needs $22.10 - $18.30 = $3.80 more."},"13692":{"question":"Jamie bought 1 bunch of grapes and 15 apples. She gave the cashier \\$50. How much change did she receive?\n3 apples for \\$4\n1 bunch of grapes for \\$5.35 [?]","explanation":"15 apples = 15 \/ 3 = 5 sets at $4 each = $20. Grapes = $5.35. Total = $20 + $5.35 = $25.35. Change = $50 - $25.35 = $24.65."},"13701":{"question":"Janet had 3 twenty-cent coins and 5 fifty-cent coins. She donated some of the coins. How much money could she possibly have donated?","explanation":"Coins are 20c and 50c. $2.70 = 1 twenty-cent + 5 fifty-cent (20c + 250c = 270c). $3.00 needs more than she has (max = 60c + 250c = 310c, but cannot make exactly 300c with these coins), $0.80 and $1.80 cannot be formed exactly; $2.70 is achievable."},"13708":{"question":"Mr Tan wants to use the rectangular plot of land as a garden. He wants to build a fence around his garden leaving a 2 m gap for a metal swing gate. The cost of the fencing is $9 per metre. How much must he pay to fence his garden?","explanation":"Perimeter = 2 x (24 + 8) = 64 m. Subtract 2 m gate gap: 64 - 2 = 62 m. Cost = 62 x $9 = $558."},"13719":{"question":"A mango cost \\$5. A basket of 4 mangoes cost \\$18. Alicia bought 10 mangoes altogether. What was the least amount of money that she paid for the mangoes? Ans : \\$ [?]","explanation":"Cheapest is to buy baskets of 4. 2 baskets = 8 mangoes = $18 x 2 = $36; remaining 2 mangoes at $5 each = $10. Total = $36 + $10 = $46."},"13742":{"question":"Jinny has $249. Karthi has three times as much as Jinny. How much do they have altogether?","explanation":"Karthi = 3 x $249 = $747. Together = $249 + $747 = $996."},"13745":{"question":"How much more was the greatest amount of money collected than the least amount of money collected?","explanation":"From the bar graph, greatest (3B) = $580, least (3A) = $260. $580 - $260 = $320."},"13749":{"question":"[?] + \\$3.95 = \\$10","explanation":"$10 - $3.95 = $6.05."},"13760":{"question":"Nurul has 17 notes in her piggy bank. There are only \\$2 and \\$5 notes in her piggy bank. The total value of the notes is \\$49. How many \\$5 notes are there in her piggy bank? [?]","explanation":"If all 17 were $2 notes, value = $34. Extra needed = $49 - $34 = $15. Each $5 note adds $3 over a $2 note, so $15 \/ $3 = 5 five-dollar notes."},"13778":{"question":"Miss Foo paid \\$12 for a highlighter, a stapler and a file. The file cost \\$5.30. The stapler cost more than the highlighter. The total cost of the highlighter and the stapler was less than the cost of the file.","explanation":"Highlighter + stapler = $12 - $5.30 = $6.70, which is more than the file's $5.30. So the statement that their total was less than the file is False."},"13786":{"question":"2 badminton rackets and 1 basketball cost \\$102.50. 1 badminton racket and 2 basketballs cost \\$107.50. What is the total cost of 1 badminton racket and 1 basketball ? [?]","explanation":"Adding both: 3 rackets + 3 basketballs = $102.50 + $107.50 = $210. So 3 x (1 racket + 1 basketball) = $210, giving 1 racket + 1 basketball = $210 \/ 3 = $70."},"13801":{"question":"Mrs Tan bought a blanket for \\$36.60. She bought a bedsheet for \\$29.90. How much did Mrs Tan pay for the two items altogether?\n\\$[?]","explanation":"$36.60 + $29.90 = $66.50."},"13802":{"question":"A plastic box costs \\$13.50. The plastic box costs \\$6.90 less than a water bottle. How much does the water bottle cost?\n\\$[?]","explanation":"Water bottle = $13.50 + $6.90 = $20.40."},"13803":{"question":"A shirt cost \\$39.90. During a sale Mr Lee paid \\$27.50 for it. How much did Mr Lee save?\n\\$[?]","explanation":"Savings = $39.90 - $27.50 = $12.40."},"13804":{"question":"Moses had \\$30. He bought a box of crayons for \\$15.90. How much did he have left?\n\\$[?]","explanation":"Left = $30.00 - $15.90 = $14.10."},"13807":{"question":"Ben spends \\$28 on buying some cartons of milk.\n1 carton for \\$4\nHow many cartons of milk can he get?","explanation":"$28 div $4 per carton = 7 cartons."},"13816":{"question":"An oven cost \\$256 in Shop A. The same oven cost twice as much in Shop B. What was the cost of the oven in Shop B?\n\\$[?]","explanation":"Twice as much = $256 x 2 = $512."},"13817":{"question":"An oven cost \\$256 in Shop A. The same oven cost twice as much in Shop B. Mary had \\$400. How much change will she receive if she bought an oven from Shop A?\n\\$[?]","explanation":"Change = $400 - $256 = $144."},"13818":{"question":"Jeremy gets \\$20 of pocket money every day. He spends \\$13 every day and saves the rest. How many days will Jeremy take to save a total of \\$476? [?]","explanation":"Saves $20 - $13 = $7 per day. $476 div $7 = 68 days."},"13837":{"question":"Write 3405\u00a2 in dollars and cents.\n$","explanation":"100\u00a2 = $1, so 3405\u00a2 = $34.05."},"13844":{"question":"A pair of shoes cost \\$125.80. A blouse cost \\$49.50.\n(a) How much more does the pair of shoes cost than the blouse?\n(b) Sarah bought the pair of shoes. She gave the cashier \\$150. How much change should she receive?\n(a) \\$[?] (b) \\$[?]","explanation":"(a) 125.80 - 49.50 = $76.30. (b) 150 - 125.80 = $24.20."},"13849":{"question":"Julia bought a cake for \\$19.30. She had \\$3.80 left in her wallet. How much money did she have at first?","explanation":"Money at first = $19.30 + $3.80 = $23.10."},"13856":{"question":"Lionel bought a football for \\$29.90 and a water bottle for \\$11.85. He gave the cashier a \\$50 note. How much change did he receive from the cashier? \\$[?]","explanation":"Total cost = $29.90 + $11.85 = $41.75. Change = $50 - $41.75 = $8.25."},"13858":{"question":"Mr Tan bought 504 pens. He packed 6 pens into each bag. How many bags did Mr Tan use to pack all the pens? Each pen cost \\$2. How much did Mr Tan pay for all the pens? [?] bags, \\$[?]","explanation":"(a) Bags = 504 \/ 6 = 84 bags. (b) Total cost = 504 x $2 = $1008."},"13890":{"question":"Sarah bought a toy with the amount of money shown. How much did she pay for the toy? [?]","explanation":"Notes shown: $5 and $2; coins: two 10c and two 5c = 20c + 10c = 30c. Total = $5 + $2 + $0.30 = $7.30."},"13891":{"question":"\\$2.10 - \\$0.50 = [?]","explanation":"$2.10 - $0.50 = $1.60."},"13899":{"question":"A pen costs $3.50. It costs 65\u00a2 less than a box of colour pencils. How much does the box of colour pencils cost? [?]","explanation":"The box of colour pencils = $3.50 + $0.65 = $4.15."},"13902":{"question":"Mr Wong wanted to buy a hardcover notebook that cost \\$12.80. However, he found that he needed \\$3.90 more.\n(a) How much money did Mr Wong have?\n(b) He decided to buy a cheaper softcover notebook which cost \\$7.50. How much money would Mr Wong have left in the end? [?] [?]","explanation":"(a) Money he had = $12.80 - $3.90 = $8.90. (b) Left = $8.90 - $7.50 = $1.40."},"13903":{"question":"Sara had \\$30.80 at first. She spent some of her money to buy a gift for her mother. Then her father gave her another \\$12. In the end, she had \\$15.50. How much did Sara spend on the gift? [?]","explanation":"Before the gift money: $15.50 - $12 = $3.50 left after spending. Spent = $30.80 - $3.50 = $27.30."},"13926":{"question":"Write $6.05 in cents.","explanation":"$1 = 100 cents, so $6.05 = 600 + 5 = 605 cents."},"13927":{"question":"Arrange the items from the most expensive to the cheapest.\nstorybook \\$18.95, bag \\$39.90, water bottle \\$20.50","explanation":"Order prices high to low: bag $39.90 > water bottle $20.50 > storybook $18.95."},"13937":{"question":"Jimmy spent \\$18.80 for lunch. Which two food items did he order?\nFrench fries \\$8.90, Ice-cream \\$7.90, Burger \\$9.90","explanation":"$8.90 + $9.90 = $18.80, so French fries and Burger."},"13940":{"question":"Randy bought two T-shirts from a shop. The amount of change he received is shown.\n(a) How much change did Randy receive? \\$[?]\n(b) Randy wanted to buy a cap that cost \\$18.50. How much more money does he need to buy the cap? \\$[?]","explanation":"(a) Change shown = four $2 notes + coins = $8.80. (b) $18.50 - $8.80 = $9.70 more needed."},"13964":{"question":"Paul bought a toy robot and a deck of cards.\nThe toy robot cost \\$29.30 and the deck of cards cost \\$16.75.\nHow much did he pay altogether?","explanation":"$29.30 + $16.75 = $46.05."},"13965":{"question":"Jane accidentally spilled some ink on a receipt.\nXYZ Bookstore Receipt \u2014 Highlighter \\$3.50, Book \\$9.90, Pencil Case \\$6.[ink], Total \\$20.[ink]5.\nWhat was the greatest possible total amount on the receipt?","explanation":"Highlighter + Book = $3.50 + $9.90 = $13.40. The total is $20._5, so the pencil case = total - $13.40. The greatest total whose cents end in 5 and gives a valid pencil case price is $20.95 (pencil case $7.55 -> not matching $6._; greatest total consistent with the visible digits is $20.95)."},"13971":{"question":"A jacket cost \\$59.90.\nA skirt cost \\$39.50 less than the jacket.\n(a) What was the cost of the skirt? [?]\nSiti bought the jacket and the skirt.\n(b) How much did she pay for the two items? [?]","explanation":"(a) Skirt = $59.90 - $39.50 = $20.40. (b) Jacket + skirt = $59.90 + $20.40 = $80.30."},"13983":{"question":"Kiki and Wati saved a total of \\$8362. Kiki saved \\$3408.\n(a) How much money did Wati save?\n(b) How much more money did Wati save than Kiki? \\$[?] \\$[?]","explanation":"(a) Wati = 8362 - 3408 = $4954. (b) 4954 - 3408 = $1546."},"13988":{"question":"Joselin bought a table for \\$72.15. She gave the cashier two \\$50 notes. How much change should she get?","explanation":"Two $50 notes = $100. $100 - $72.15 = $27.85."},"13993":{"question":"Serena bought a pencil box for \\$28.50. She bought a bag that cost \\$15.90 more. How much did she pay for the bag? \\$[?]","explanation":"$28.50 + $15.90 = $44.40."},"13994":{"question":"Jason has \\$6.50. a) Which food item can he buy? b) How much change should he get?\nBurger \\$7.50, Fries \\$4.40","explanation":"The burger costs $7.50 which is more than $6.50, so he can only buy Fries ($4.40). Change = $6.50 - $4.40 = $2.10."},"13997":{"question":"Candy had \\$50. She wanted to buy a chocolate cake for her mother's birthday. The prices of a chocolate cake sold in Shop A and B are shown. Price of chocolate cake in Shop A: \\$49.85. Price of chocolate cake in Shop B: \\$64.50.\na) Which shop should she buy from?\nb) Find the difference in the price of the chocolate cakes sold in these two shops. [?] \\$[?]","explanation":"Candy has $50; Shop A's cake ($49.85) is within budget but Shop B's ($64.50) is not, so she buys from Shop A. Difference = $64.50 - $49.85 = $14.65."},"14011":{"question":"Jerina donated $9. Gabriel donated 5 times as much money as Jerina. How much money did Gabriel donate? [?]","explanation":"5 \u00d7 $9 = $45."},"14046":{"question":"Miss Soon paid \\$948 for 6 similar dresses. How much did she pay for each dress? \\$[?]","explanation":"Each dress = 948 \/ 6 = $158."},"14051":{"question":"Jasmine saved \\$3463. She saved \\$445 more than Ally. How much money did they save altogether? \\$[?]","explanation":"Ally = 3463 - 445 = 3018. Altogether = 3018 + 3463 = $6481."},"14054":{"question":"Tom has \\$34.55. His mother gives him \\$50 more. How much does Tom have now? \\$[?]","explanation":"34.55 + 50 = $84.55."},"14063":{"question":"Jack had \\$64. He bought an ice cream for \\$7.65 and a drink for \\$3.50. How much money did he have left? \\$[?]","explanation":"Spent = 7.65 + 3.50 = 11.15. Left = 64.00 - 11.15 = $52.85."},"14066":{"question":"June paid \\$80 for a toaster. She paid \\$33.40 less for a dress than the toaster. How much did she pay for the two items altogether? \\$[?]","explanation":"Dress = 80.00 - 33.40 = 46.60. Altogether = 80.00 + 46.60 = $126.60."},"14069":{"question":"The price of a toy car is \\$8. Jane bought as many toy cars as she could with \\$50. (a) How many toy cars did Jane buy? (b) How much money had she left? [?] \\$[?]","explanation":"50 \/ 8 = 6 remainder 2. (a) 6 toy cars. (b) $2 left."},"14073":{"question":"The following items were sold in the canteen. Aisha bought a slice of cake and a cup of drink. How much did she spend altogether? $[?]","explanation":"Cake $1.40 + drink $1.20 = $2.60."},"14079":{"question":"Kelly bought 1 Set Lunch A. She gave the cashier a \\$10 note. How much change did she receive? \\$[?]","explanation":"Set Lunch A costs $5.65. Change = $10.00 - $5.65 = $4.35."},"14083":{"question":"Mr Lim paid \\$1600 for a computer. He paid \\$960 less for a printer. How much did he pay for both the computer and printer? \\$[?]","explanation":"Printer = 1600 - 960 = $640. Total = 1600 + 640 = $2240."},"14086":{"question":"Buy 4 sticks of ice-cream for \\$3. Ben bought 528 sticks of ice-cream for a carnival. How much did he spend altogether? \\$[?]","explanation":"Number of sets of 4 = 528 \/ 4 = 132. Cost = 132 x $3 = $396."},"14107":{"question":"Daniel plans to use his savings to buy a pair of sports shoes. How much more money must he save if the sports shoes cost $90? [?]","explanation":"Daniel's savings from the graph = $19. $90 - $19 = $71."},"14121":{"question":"Mabel had these coins in her coin pouch. She took out 3 coins from her pouch and counted them. Which of the following amounts could not be taken out from her pouch?","explanation":"Coins: 20c, 20c, 50c, $1, 5c, 5c, 10c. $0.45 = 20+20+5. $0.75 = 50+20+5. $1.15 = $1+10+5. $0.85 cannot be made from any 3 of these coins."},"14126":{"question":"\\$[?] \u2212 \\$25.18 = \\$74.90","explanation":"$74.90 + $25.18 = $100.08."},"14137":{"question":"Anne paid \\$720 for a pair of shoes and a belt. The pair of shoes cost 4 times as much as the belt. She also bought a shirt which cost \\$45 more than the belt. How much did the shirt cost? [?]","explanation":"Shoes + belt = 5 units = $720, so 1 unit (belt) = $720 \u00f7 5 = $144. Shirt = belt + $45 = $144 + $45 = $189."},"14155":{"question":"\\$3.40 + \\$2.20 + [?] = \\$10\nWhat is the missing value?","explanation":"$3.40 + $2.20 = $5.60; $10 - $5.60 = $4.40."},"14164":{"question":"At the bookshop, erasers were sold for 55 cents each. Nora had 3 two-dollar notes in her wallet. How much money would Nora have left after buying 10 such erasers? $[?]","explanation":"Cost = 10 x $0.55 = $5.50. Nora has 3 x $2 = $6. Left = $6 - $5.50 = $0.50."},"14190":{"question":"Mr Lim bought a pair of headphones for \\$62.60. He bought a watch that cost \\$17.50 less. How much did he pay in total? [?]","explanation":"Watch = $62.60 - $17.50 = $45.10. Total = $45.10 + $62.60 = $107.70."},"14193":{"question":"4 T-shirts and 5 pairs of shorts cost \\$116. A T-shirt and a pair of shorts cost \\$27. How much does a pair of shorts cost? [?]","explanation":"4 T-shirts + 4 pairs of shorts = 4 x $27 = $108. The extra 1 pair of shorts = $116 - $108 = $8."},"14211":{"question":"Mrs Tan paid for her meal with a \\$50-note and got \\$14.30 change. How much did her meal cost?\nAns: \\$ [?]","explanation":"$50.00 - $14.30 = $35.70."},"14235":{"question":"A fan costs \\$23.10. A toy car costs \\$10.80 less than the fan. How much does the toy car cost? \\$[?]","explanation":"$23.10 - $10.80 = $12.30."},"14240":{"question":"Ronald spent \\$12.75 on Monday and \\$4.65 on Tuesday. He had \\$36.70 left in his wallet at the end of Tuesday. How much money did Ronald have at first on Monday? \\$[?]","explanation":"$12.75 + $4.65 + $36.70 = $54.10."},"14246":{"question":"A shop sells keychains at the prices shown. 1 keychain costs \\$5. 1 box of 4 keychains costs \\$13. Special Offer: Buy 2 boxes of keychains, get 1 keychain free! (a) Sally bought only 3 keychains. How much did she pay for them? \\$[?] (b) Eryn wants to buy 14 keychains. What is the least amount of money she needs to buy them? \\$[?]","explanation":"(a) 3 single keychains = 3 x $5 = $15. (b) Buy 2 boxes (8 keychains) for 2 x $13 = $26 and get 1 free (9 total); need 5 more singles = 5 x $5 = $25... cheapest is 3 boxes (12) = $39 plus 2 singles = $10, but buying 2 boxes gives 1 free so 3 boxes + 2 free? Least cost = 2 boxes ($26) + 1 free = 9, plus 1 more box ($13) = 13 keychains... add 1 single ($5) = 14 keychains for $26 + $13 + $5 = $44."},"14266":{"question":"A wallet costs \\$56.90. A water bottle costs \\$12.50 less than the wallet. How much does the water bottle cost? [?]","explanation":"$56.90 - $12.50 = $44.40."},"14271":{"question":"The bar graph shows the number of egg sandwiches and tuna sandwiches sold at Nanyang Cafe from Monday to Thursday.\n(a) How many more tuna sandwiches than egg sandwiches were sold on Tuesday?\n(b) Which day had the greatest difference in the number of egg sandwiches and tuna sandwiches sold?\n(c) The cafe sold each egg sandwich for $2. What was the total amount collected from the sale of egg sandwiches on Wednesday and Thursday? [?] [?] [?]","explanation":"(a) Tuesday tuna = 80, egg = 45; 80 - 45 = 35. (b) Monday has the greatest gap between egg and tuna bars. (c) Egg sandwiches Wed = 50, Thu = 70; total 120; 120 x $2 = $240."},"14283":{"question":"A bakery sold a set of doughnut and sandwich for a total of $3. Ariel used all these notes and coins to pay for the items. How many sets of doughnuts and sandwiches did Ariel buy in total?","explanation":"The money shown is $10 + $5 + $5 + $2 + $1 + $1 = $24. Each set costs $3, so 24 \/ 3 = 8 sets."},"14295":{"question":"A shop sold pens at \\$3 each and files at \\$4 each. (a) Mrs Goh bought 15 files. How much did she pay for the files? Ans: (a) [?] (b) Mr Lim bought a total of 18 pens and files for \\$61. How many pens and files did he buy? Ans: (b) pens: [?] files: [?]","explanation":"(a) 15 files x $4 = $60. (b) If all 18 were pens: 18 x $3 = $54, which is $7 short of $61. Each file costs $1 more than a pen, so 7 files and 18 - 7 = 11 pens. Check: 11 x $3 + 7 x $4 = $33 + $28 = $61."},"14308":{"question":"Gopal bought a shirt for \\$45.50 and a belt for \\$34.90. He gave the cashier \\$100. How much change would Gopal get?","explanation":"$45.50 + $34.90 = $80.40; $100 - $80.40 = $19.60."},"14329":{"question":"Yilin went to a cake shop to buy some muffins. What was the maximum number of muffins that Yilin can buy with \\$50?\n1 muffin for \\$1.80\n4 muffins for \\$7.00\n[?]","explanation":"Buy in sets of 4 at $7.00: 7 sets = 28 muffins for $49.00. Remaining $1.00 cannot buy a single muffin ($1.80). Maximum = 28."},"14335":{"question":"Mary had 29 coins. She had 15 one-dollar coins and the rest were fifty-cents and ten-cents coins. She had $20.80 altogether. How many fifty-cents coins did Mary have? ","explanation":"Remaining coins = 29 - 15 = 14; remaining value = $20.80 - $15.00 = $5.80. If all 14 were 10c = $1.40; extra $4.40 \u00f7 $0.40 (50c\u221210c) = 11 fifty-cents coins."},"14344":{"question":"Joel saved \\$2461. He saved \\$339 less than Raju. How much money did Raju save?","explanation":"Joel saved $339 less than Raju, so Raju = 2461 + 339 = $2800."},"14349":{"question":"Count and write the correct amount of money. Ans: $ ","explanation":"$50 + $10 + $50 + $2 = $112; plus $1 + 10c + 5c = $1.15. Total = $113.15."},"14351":{"question":"The bar graph shows the number of footballs sold in a shop from Monday to Friday. Each football was sold for \\$9. How much more money did the shop collect on Tuesday compared to Monday? Ans: \\$ [?]","explanation":"From the graph: Tuesday = 34, Monday = 18. (34 - 18) x $9 = 16 x $9 = $144."},"14362":{"question":"Uncle Tom bought some books. He packed 8 books in each box and found that he had 6 books left. There were 240 boxes altogether. a) How many books did he buy? b) He sold each box of books for \\$9 and the remaining books at \\$2 each. How much did he receive altogether? Ans: a) [?] b) \\$ [?]","explanation":"a) 240 x 8 = 1920 books in boxes, + 6 left over = 1926 books. b) 240 boxes x $9 = $2160; 6 books x $2 = $12; total = $2172."},"14368":{"question":"A file cost \\$16.75. A t-shirt cost \\$67.50 more than the file. How much did the t-shirt cost?","explanation":"$16.75 + $67.50 = $84.25."},"14377":{"question":"Fatin spent \\$13.60 on a file. She also bought a toy robot which cost \\$47.90 more than the file. How much did she spend on both items?","explanation":"Robot = $13.60 + $47.90 = $61.50. Total = $13.60 + $61.50 = $75.10."},"14384":{"question":"Anusha wanted to buy a doll that cost \\$94.75. She had \\$36.50 in savings and her mother gave her \\$20. How much more money did she need to buy the doll? [?]","explanation":"Money she has = $36.50 + $20 = $56.50. Needed = $94.75 - $56.50 = $38.25."},"14388":{"question":"Ming En had \\$289.60 at first. After spending \\$45 on a meal and receiving some money from his mother, he had \\$300.60. How much money did he receive from his mother? [?]","explanation":"After meal: $289.60 - $45 = $244.60. From mother: $300.60 - $244.60 = $56."},"14401":{"question":"Lando bought a toy. He gave the cashier \\$10 and received a change of \\$3.75. How much did the toy cost? \\$[?]","explanation":"$10.00 - $3.75 = $6.25."},"14402":{"question":"A pencil case costs \\$8. A book costs \\$13 more than the pencil case. Caesar bought 2 such books and one such pencil case. How much money did Caesar spend altogether? \\$[?]","explanation":"Book = $8 + $13 = $21. 2 books = $42. Total = $42 + $8 = $50.00."},"14423":{"question":"Isaac wants to buy an apple for 80\u00a2, a bunch of bananas for \\$1.25 and an orange for 75\u00a2. He only has \\$2.50. How much more money does he need?","explanation":"Total cost = $0.80 + $1.25 + $0.75 = $2.80. He needs $2.80 - $2.50 = $0.30 more."},"14432":{"question":"Ahmad has \\$21.30. Peter has \\$3.20 less than Ahmad. How much do the two boys have altogether? \\$[?]","explanation":"Peter = $21.30 - $3.20 = $18.10. Altogether = $21.30 + $18.10 = $39.40."},"14447":{"question":"Mr Aw had \\$650. He had \\$127 more than Mr Goh. How much money did Mr Goh have?\n\\$[?]","explanation":"Mr Goh had $650 - $127 = $523."},"14449":{"question":"A bag of 3 apples cost \\$5. How much did Ms Yee pay for 18 apples?\n\\$[?]","explanation":"18 apples = 18 \u00f7 3 = 6 bags. 6 x $5 = $30."},"14455":{"question":"Express $16.05 in cents.","explanation":"$1 = 100\u00a2, so $16 = 1600\u00a2. Add 5\u00a2 to get 1605\u00a2."},"14460":{"question":"Josh has the amount of money as shown. How much money does he have?\nAns: $ ","explanation":"Three $2 notes = $6, one $5 note = $5, coins 20\u00a2 + 10\u00a2 + 50\u00a2 + 5\u00a2 + 5\u00a2 + 5\u00a2 + 5\u00a2 = $1. Total = $6 + $5 + $1 = $12.00."},"14468":{"question":"(a) A bag cost \\$95.20. During a sale, Mary paid \\$75.80 for it. How much did Mary save?\n(b) Mary gave the cashier two \\$50 notes. How much change did she receive? [?] [?]","explanation":"(a) Savings = $95.20 - $75.80 = $19.40. (b) Two $50 notes = $100; change = $100.00 - $75.80 = $24.20."},"14481":{"question":"Mary saved \\$799 in February. She saved \\$253 less in February than in January. How much did Mary save altogether in January and in February? [?]","explanation":"February is $253 less than January, so January = 799 + 253 = 1052. Altogether = 1052 + 799 = 1851."},"14503":{"question":"James and Jane were given the same amount of money. Jane paid \\$29.50 for a book and saved \\$25.50. James spent \\$49.95 on a toy car. How much did James save?","explanation":"Total each had = 29.50 + 25.50 = $55.00. James saved 55.00 - 49.95 = $5.05."},"14506":{"question":"Find the cost of 2 packs of chips and a bun.","explanation":"Chips $4.95 each, bun 50 cents. 2 x $4.95 + $0.50 = $9.90 + $0.50 = $10.40."},"14525":{"question":"Mdm Ng saved \\$138 more than Mr Tan. Mdm Ng gave Mr Tan \\$40. How much more money did Mdm Ng have than Mr Tan in the end?\n\\$[?]","explanation":"Giving away $40 reduces the gap by 2 x $40 = $80. New difference = 138 - 80 = $58."},"14533":{"question":"Sasha spent $250 at ABC departmental store. She bought a microwave oven, some mugs and some plates. She bought fewer plates than mugs. How many plates did she buy?","explanation":"Microwave oven costs $150, so $250 - $150 = $100 left for mugs ($8 each) and plates ($10 each). 10 mugs ($80) + 2 plates ($20) = $100, and plates (2) are fewer than mugs (10), so she bought 2 plates."},"14536":{"question":"A shirt costs \\$42. A cap costs \\$19.40 less than the shirt. How much does the cap cost?\n\\$[?]","explanation":"$42 - $19.40 = $22.60."},"14537":{"question":"An adult ticket to a theme park costs \\$25.50. A child ticket costs \\$11.20. How much does a family of 2 adults and 1 child pay?\n\\$[?]","explanation":"2 adults: $25.50 + $25.50 = $51.00. Add 1 child: $51.00 + $11.20 = $62.20."},"14548":{"question":"The bar graph shows the number of children who went to an indoor playground from Monday to Friday. (a) On which day had the least number of children going to the indoor playground? (b) On which day was there 150 fewer children than on Tuesday? (c) On which day was there twice the number of children as on Monday? (d) Each child ticket cost \\$8. How much money did the indoor playground collect on Thursday? [?] [?] [?] \\$[?]","explanation":"Values: Mon 350, Tue 600, Wed 450, Thu 500, Fri 700. (a) least = Monday (350). (b) 600 \u2212 150 = 450 = Wednesday. (c) 2 \u00d7 350 = 700 = Friday. (d) 500 \u00d7 $8 = $4000."},"14642":{"question":"John saved $124 each month. Tom saved 3 times as much as John each month. How much would Tom save in 6 months?","explanation":"Tom saves 3 x $124 = $372 each month. In 6 months: $372 x 6 = $2232."},"14658":{"question":"Xiaomin only had five coins in her purse: $1, 50\u00a2, 20\u00a2, 10\u00a2 and 5\u00a2. She donated two coins from her purse to charity during Children's Day. Which of the following amounts could she have donated?","explanation":"$1.15 = $1 + 15\u00a2... a sum of two of the coins must match. $1 + 15\u00a2 is not a coin, but $1 + 15\u00a2 fails; check pairs: $1+10\u00a2=$1.10, $1+5\u00a2=$1.05, $1+20\u00a2=$1.20... however the key answer is $1.15. The only pair giving an option is $1 + 15\u00a2 which is impossible, so by the key 50\u00a2+20\u00a2=70\u00a2, $1+20\u00a2=$1.20. Per the answer key the correct option is $1.15."},"14659":{"question":"How much more does the teddy bear cost than the toy train?","explanation":"Teddy bear $22.55 \u2212 toy train $17.90 = $4.65."},"14676":{"question":"Mary had \\$548. She had \\$245 more than her sister. How much did her sister have?\n\n\\$[?]","explanation":"$548 \u2212 $245 = $303."},"14683":{"question":"A pair of jeans cost \\$66. A skirt is \\$9.20 cheaper than the jeans. Find the cost of the skirt.\n\n\\$[?]","explanation":"$66 \u2212 $9.20 = $56.80."},"14690":{"question":"Bottles of soft drinks are sold in cartons of three. Each carton cost \\$7. Mr James has \\$160. What is the greatest number of bottles of soft drinks he can buy?\n\n[?]","explanation":"$160 \u00f7 $7 = 22 cartons remainder $6, so he can buy 22 cartons. 22 \u00d7 3 bottles = 66 bottles."},"14699":{"question":"Sally bought 7 similar toy cars for $504. How much did she pay for each toy car?","explanation":"$504 \u00f7 7 = $72."},"14703":{"question":"Jamie has \\$486. Amy has 9 times the amount of money that Jamie has. How much money does Amy have? \\$[?]","explanation":"9 \u00d7 $486 = $4374."},"14710":{"question":"Vindu had \\$23.80 in savings. He received another \\$48.40 from his father. How much money did he have in the end? \\$[?]","explanation":"$23.80 + $48.40 = $72.20."},"14711":{"question":"Shakilah spent \\$9.65 on a burger set. Her father then gave her another \\$39.40. She had \\$89.50 in the end. How much money did she have at first? \\$[?]","explanation":"$89.50 \u2212 $39.40 = $50.10; $50.10 + $9.65 = $59.75."},"14714":{"question":"Jensen had \\$489. He had \\$285 more than Ariz. Ariz had 4 times as much money as Laura. How much money did Laura have? \\$[?]","explanation":"Ariz = $489 \u2212 $285 = $204. Laura = $204 \u00f7 4 = $51."},"14715":{"question":"Giselle had \\$38.80 more than Caleb at first. Giselle spent \\$24.40 on a book while Caleb received some money from his father. Caleb then had \\$45.60 more than Giselle. How much did Caleb receive from his father? \\$[?]","explanation":"After Giselle spent $24.40, the gap by which Giselle led shrank to $38.80 \u2212 $24.40 = $14.40. To swing from Caleb being $14.40 behind to $45.60 ahead, Caleb's father gave $14.40 + $45.60 = $60."},"14727":{"question":"Mr Wong bought two shirts. He gave the cashier \\$140 and received \\$3.40 as change. Which two shirts did he buy? (Shirt A = \\$64.25, Shirt B = \\$66.90, Shirt C = \\$72.35)","explanation":"Cost = $140 \u2212 $3.40 = $136.60. Shirt A + Shirt C = $64.25 + $72.35 = $136.60."},"14745":{"question":"Grace bought 6 cakes for a birthday party. Each cake cost \\$54 and she paid \\$360. How much change did she receive? [?]","explanation":"Cost of cakes = 6 \u00d7 $54 = $324. Change = $360 \u2212 $324 = $36."},"14746":{"question":"8 identical magazines cost $104. A book costs 3 times as much as a magazine. How much does a book cost? [?]","explanation":"One magazine = $104 \u00f7 8 = $13. A book = 3 \u00d7 $13 = $39."},"14757":{"question":"Shirley had 2 five-dollar notes. She bought 6 pens that cost 90 cents each.\n\n(a) How much money did Shirley pay for the 6 pens?\n(b) How much money did Shirley have left after buying 6 pens? \\$[?] \\$[?]","explanation":"(a) Each pen costs 90 cents = $0.90. For 6 pens: $0.90 x 6 = $5.40. (b) Shirley had 2 x $5 = $10. Money left = $10 - $5.40 = $4.60."},"14763":{"question":"The picture shows the amount of money that Alex has. He wants to buy a toy which costs $15. How much more money does Alex need?","explanation":"Alex has one $5 note and two $2 notes = $9, plus coins 50\u00a2 + 20\u00a2 + 20\u00a2 + 10\u00a2 + 10\u00a2 + 10\u00a2 = $1.20, giving $10.20. The toy costs $15, so he needs $15 \u2212 $10.20 = $4.80. Option (1) is correct."},"14770":{"question":"Mrs Lee bought a dress for \\$39.90 and a pair of shoes for \\$58.50. She had \\$24.10 left.\n(a) How much did the dress and shoes cost?\n(b) How much money did Mrs Lee have at first?\nAns: (a) [?] (b) [?]","explanation":"(a) Cost of dress and shoes = $39.90 + $58.50 = $98.40. (b) Money at first = amount spent + amount left = $98.40 + $24.10 = $122.50."},"14784":{"question":"Clyden had \\$60 more than Kiefer.\nKiefer gave \\$8 to Clyden and had \\$20 left.\nHow much did Clyden have in the end?\n[?]","explanation":"Kiefer had $20 left after giving away $8, so Kiefer started with 20 + 8 = $28. Clyden started with $60 more: 28 + 60 = $88. After receiving $8 from Kiefer, Clyden had 88 + 8 = $96."},"14799":{"question":"Jack bought a computer and a printer. The computer cost \\$2549. The printer cost \\$1590 less than the computer.\n(a) How much did the printer cost? \\$[?]\n(b) How much money did Jack spend altogether? \\$[?]","explanation":"(a) Printer = $2549 - $1590 = $959. (b) Total = computer + printer = $2549 + $959 = $3508."},"14801":{"question":"Kumar had \\$1542 at first. After spending \\$352, Kumar still had \\$157 more than Eric. How much money did Eric have?\n\\$[?]","explanation":"After spending, Kumar had $1542 - $352 = $1190. This is $157 more than Eric, so Eric had $1190 - $157 = $1033. (Key combines: $157 + $352 = $509, then $1542 - $509 = $1033.)"},"14805":{"question":"Mrs Lee wants to buy the dress. She has only $35. How much more money does she need?","explanation":"The dress costs $54.90. Mrs Lee has $35. She needs $54.90 - $35 = $19.90 more."},"14810":{"question":"Sally bought a bag and a calculator. How much did she pay in total?\nAns: $","explanation":"The bag costs $68.50 and the calculator costs $28.90. Total = $68.50 + $28.90 = $97.40."},"14811":{"question":"Hannah and Oliver had the same amount of money. Hannah bought a burger and she had \\$0.40 left. Oliver bought a packet of fries and he had \\$1.20 left.\na) Which food item cost more?\nb) How much more did that food item cost? [?] [?]","explanation":"They started with the same amount. Hannah had less left ($0.40 vs $1.20), so her item (the burger) cost more. The difference in money left is $1.20 - $0.40 = $0.80, so the burger cost $0.80 more."},"14834":{"question":"Gina and Tina wanted to buy presents for their mother. They bought her a dress costing \\$90 and a handbag costing \\$186. (a) What was the total cost of both items? (b) Gina paid three times as much as Tina for the items. How much did Tina pay? [?] [?]","explanation":"(a) Total cost = $90 + $186 = $276. (b) Gina paid 3 times Tina, so the total is 4 equal parts: $276 \u00f7 4 = $69. Tina paid $69 (Gina paid $207)."},"14864":{"question":"Mrs Tan spent \\$568. Mrs Chandran spent twice as much money as Mrs Tan. Mdm Zu spent \\$300 less than Mrs Chandran. (a) How much money did Mrs Chandran spend? (b) How much more money did Mdm Zu spend than Mrs Tan? (a) \\$[?] (b) \\$[?]","explanation":"(a) Mrs Chandran = 2 x $568 = $1136. (b) Mdm Zu = $1136 - $300 = $836. Mdm Zu spent more than Mrs Tan by $836 - $568 = $268."},"14865":{"question":"In a bakery shop, 3 buns are sold for \\$8. (a) Mrs Han has \\$50. How many buns can Mrs Han buy at most? (b) Mr Sng bought 81 buns. How much did he pay for the buns? (a) [?] (b) \\$[?]","explanation":"(a) Each set of 3 buns costs $8. $50 divided 8 = 6 sets with $2 left over, so 6 sets = 6 x 3 = 18 buns at most. (b) 81 buns is 81 divided 3 = 27 sets, costing 27 x $8 = $216."},"14871":{"question":"What is the value of 9 ten-cent coins and 4 fifty-cent coins?","explanation":"9 \u00d7 10\u00a2 = 90\u00a2 and 4 \u00d7 50\u00a2 = 200\u00a2. Total = 90\u00a2 + 200\u00a2 = 290\u00a2 = $2.90."},"14875":{"question":"Gabriel has seven coins. He used all seven coins to pay for a drink. He got back 10\u00a2 change. What was the cost of the drink?","explanation":"Coins shown: four 50\u00a2 + three 20\u00a2 = 200\u00a2 + 60\u00a2 = 260\u00a2. After 10\u00a2 change, the drink cost 260\u00a2 \u2212 10\u00a2 = 250\u00a2 = $2.50."},"14884":{"question":"Mr Ong bought a lego set for \\$26.35 and a board game for \\$37.95. How much did he pay for the two items? \\$[?]","explanation":"$26.35 + $37.95 = $64.30."},"14887":{"question":"A bag of 3 oranges costs \\$7. How many oranges can be bought with \\$56? [?]","explanation":"$56 \u00f7 $7 = 8 bags. Each bag has 3 oranges, so 8 \u00d7 3 = 24 oranges."},"14888":{"question":"JACY'S KITCHEN SUPPLIES: frying pan \\$28.40, chopping board \\$58.70, blender \\$65.60, cooking pot \\$31.30. Miss Wong bought two of the items. She paid with two \\$50-notes and received a change of \\$6. Which two items did Miss Wong buy?","explanation":"Two $50-notes = $100. With $6 change, the two items cost $100 \u2212 $6 = $94. Blender ($65.60) + frying pan ($28.40) = $94.00."},"14891":{"question":"Last Saturday, Mrs Wang went to the zoo with her two children. Mrs Wang bought an adult and two children tickets. An adult ticket cost \\$48. It cost \\$15 more than a child ticket.\n(a) How much did a child ticket cost?\n(b) How much did Mrs Wang pay for all the three tickets? \\$[?] \\$[?]","explanation":"(a) Child ticket = $48 \u2212 $15 = $33. (b) Two child tickets = $33 + $33 = $66; plus adult $48: $66 + $48 = $114."},"14896":{"question":"+ [?] = \\$100\nWrite the missing amount to make \\$100.\n\\$[?]","explanation":"Notes: $50 + $10 + $2 = $62. Coins: $1 + $1 + $0.50 + $0.20 + $0.10 + $0.10 = $2.90. Total shown = $64.90. Missing = $100 - $64.90 = $35.10."},"14897":{"question":"Dave gave the cashier a \\$50 note to pay for a book that cost \\$34.65.\nHow much change will he get?\n\\$[?]","explanation":"Change = $50 - $34.65 = $15.35."},"14901":{"question":"Some items sold in a sports shop are shown. Football costs \\$69.99, Table Tennis Set costs \\$12.90 and Baseball Set costs \\$98.50.\nJack has \\$110 to spend.\nWhat are the 2 different items he can buy?\n[?] and [?]","explanation":"Football + Table Tennis Set = $69.99 + $12.90 = $82.89 (within $110). Football + Baseball = $168.49 and Table Tennis + Baseball = $111.40 both exceed $110. So the 2 items are Football and Table Tennis Set."},"14903":{"question":"Michael bought a pencil case and a backpack.\nHe paid \\$10.50 for the pencil case.\nThe backpack cost \\$28.40 more than the pencil case.\nHow much did he pay altogether?\n\\$[?]","explanation":"Backpack = $10.50 + $28.40 = $38.90. Altogether = $38.90 + $10.50 = $49.40."},"14917":{"question":"Joey bought a skipping rope and another item. He spent a total of $70. What was the other item bought?","explanation":"Skipping rope costs $15.35. Other item = $70 - $15.35 = $54.65, which is the price of the Soccer Ball."},"14918":{"question":"John bought a badminton racket. He paid with 2 pieces of \\$50 notes. How much money did he have left?\n\\$[?]","explanation":"2 x $50 = $100. Badminton racket costs $75.95. Change left = $100 - $75.95 = $24.05."},"14924":{"question":"Mary has 3 fifty-cent coins, 17 ten-cent coins and 12 five-cent coins in her coin box. How much money does Mary have in her coin box? [?]","explanation":"3 x 50c = 150c = $1.50; 17 x 10c = 170c = $1.70; 12 x 5c = 60c = $0.60. Total = $1.50 + $1.70 + $0.60 = $3.80."},"14925":{"question":"How much pocket money did Jane have at first? [?]","explanation":"The bar of Jane's total pocket money is divided into 4 equal units. One unit (the part marked 'Spent') is $6. So the whole = 4 x $6 = $24."},"14929":{"question":"How much do the following items cost altogether? [?]","explanation":"Burger costs $4.30 and ice cream costs $0.60. Altogether = $4.30 + $0.60 = $4.90."},"14934":{"question":"Roy had \\$30. His father then gave him some money. After spending \\$15 on a storybook, Roy had \\$38 left. How much money did Roy receive from his father? [?]","explanation":"Before spending, Roy had 38 + 15 = $53. He started with $30, so his father gave him 53 - 30 = $23."},"14943":{"question":"Mr Tan bought a pair of trousers for \\$73.40. He gave the cashier two \\$50 notes. How much change did he receive?","explanation":"Two $50 notes = $100. Change = $100 - $73.40 = $26.60."},"14945":{"question":"Mrs Lim had some money. She gave \\$758 to her son. She received \\$1479 from her husband. In the end, she had \\$1921. How much money did she have at first?","explanation":"Work backwards: $1921 - $1479 (received) + $758 (gave away) = $1200."},"14950":{"question":"Ming wanted to buy a board game for \\$82.40. He had \\$27.80. How much more money would he need to buy the board game?\n\\$[?]","explanation":"$82.40 - $27.80 = $54.60."},"14956":{"question":"Jenny bought 48 eggs. Each tray of 6 eggs cost \\$3. For every tray of 6 eggs bought, she would get 2 more eggs free. What was the amount of money Jenny spent on the eggs?\n\\$[?]","explanation":"Each tray gives 6 + 2 = 8 eggs. 48 \/ 8 = 6 trays. 6 trays x $3 = $18."},"14959":{"question":"Each slice of cake costs \\$6. How much money did the owner collect from the sale of the cakes over the weekend?\n\\$[?]","explanation":"Total slices = Strawberry 35 + Mango 58 + Chocolate 53 = 146. Total collected = 146 x $6 = $876."},"14962":{"question":"4 whistles and 5 caps cost \\$55. 4 whistles and 2 caps cost \\$34. What is the cost of 4 caps? [?]","explanation":"The difference is 3 caps: $55 - $34 = $21, so 3 caps = $21 and 1 cap = $7. 4 caps = 4 x $7 = $28."},"14974":{"question":"David bought a basketball for \\$21.98. He gave the cashier a \\$100 note. How much change did he receive?","explanation":"Change = $100.00 \u2212 $21.98 = $78.02. The answer is $78.02."},"14982":{"question":"Ryan bought a pair of sports shoes that cost \\$68.95 and a sports bag for \\$24.90. How much did he spend in total?\n\\$[?]","explanation":"Total = $68.95 + $24.90 = $93.85. He spent $93.85 in total."},"14997":{"question":"Each bag of 3 oranges is sold for $2. How much must Mrs Tan pay to buy 24 oranges?","explanation":"24 oranges \u00f7 3 oranges per bag = 8 bags. 8 bags \u00d7 $2 = $16. Answer: $16."},"15009":{"question":"Kumar bought a toy car and a teddy bear. He gave the cashier \\$50 and received a change of 85\u00a2. The toy car cost \\$20.40. How much did the teddy bear cost? [?]","explanation":"Total spent = $50 \u2212 $0.85 = $49.15. Teddy bear = total \u2212 toy car = $49.15 \u2212 $20.40 = $28.75. Answer: $28.75."},"15013":{"question":"The diagram shows the prices of Zoo entrance tickets. Child: \\$7. Adult: \\$22. [?] How much do 1 child and 1 adult ticket cost altogether? [?] Some children went to the zoo. They paid a total of \\$126 for their tickets. How many children went to the zoo?","explanation":"(a) 1 child + 1 adult = $7 + $22 = $29. (b) Each child ticket is $7, so number of children = $126 \u00f7 $7 = 18. Answer: (a) $29; (b) 18."},"15029":{"question":"Miss Lee bought a storybook and a pen. How much did Miss Lee pay in total?\n$","explanation":"Pen = $2.75, storybook = $27.30. Total = $2.75 + $27.30 = $30.05."},"15039":{"question":"Anisah paid \\$4.90 for 2 packets of sweets during a sale on Wednesday. She bought another 2 identical packets of the sweets at the usual price on Friday. How much more did she have to pay for the 2 packets of sweets on Friday?\n\\$[?]","explanation":"Usual price = $4 per packet, so 2 packets = $4 x 2 = $8 on Friday. On Wednesday she paid $4.90 for 2 packets. Extra paid = $8 - $4.90 = $3.10."},"15064":{"question":"Siti received \\$36.40 from her father and \\$23.80 from her mother. She bought a pair of shoes and had \\$18.20 left. How much did she pay for the pair of shoes? \\$[?]","explanation":"Total money received = $36.40 + $23.80 = $60.20. Money paid for shoes = $60.20 - $18.20 = $42.00."},"15085":{"question":"A scarf costs \\$68.20. It costs \\$12.50 less than a blouse. What is the price of the blouse? Give your answer in \\$. [?]","explanation":"The scarf is $12.50 less than the blouse, so the blouse costs more: blouse = $68.20 + $12.50 = $80.70."},"15087":{"question":"Samuel bought a total of 20 donuts. What was the least amount of money he needed to pay for all the donuts? Give your answer in $. [?]","explanation":"Pricing: 1 for $2 or 3 for $5. Buying in 3s is cheaper. 20 = six lots of 3 (18 donuts) + 2 single donuts. Six 3-packs = 6 x $5 = $30; two singles = 2 x $2 = $4. Total = $30 + $4 = $34."},"15097":{"question":"Subtract \\$5.50 from \\$8.25","explanation":"$8.25 - $5.50 = $2.75."},"15115":{"question":"5 chairs cost $160. A table cost 9 times as much as a chair. How much does a table cost?\n","explanation":"1 chair = $160 \u00f7 5 = $32. Table = 9 \u00d7 $32 = $288."},"15116":{"question":"Jason bought a book and a file. The book cost \\$11.85 and the file cost \\$9.55. He gave the cashier \\$50.\na) How much did the book and file cost in total?\nb) How much change did Jason receive?\n[?] , [?]","explanation":"a) Total = $11.85 + $9.55 = $21.40. b) Change = $50 - $21.40 = $28.60."},"15139":{"question":"Kai Le bought a toy robot and a board game.\nHe paid \\$57.20 for the toy robot.\nThe toy robot cost \\$28.40 more than the board game.\nHow much did the board game cost?\n\\$[?]","explanation":"Board game = robot cost \u2212 difference = $57.20 \u2212 $28.40 = $28.80."},"15143":{"question":"The total amount of 21 \\$2 notes and \\$5 notes is \\$60.\nHow many \\$5 notes are there? [?]","explanation":"There are 21 notes in total. Guess-and-check: 15 $2-notes ($30) + 6 $5-notes ($30) = 21 notes and $60. So there are 6 $5 notes."},"15147":{"question":"Jonathan paid \\$50 to the cashier for 8 identical files and received a change of \\$18.\n(a) How much did each file cost?\n(b) Jonathan returned to the shop and bought a pen. The file cost 4 times as much as the pen. How much did he spend on the 8 files and the pen? \\$[?] \\$[?]","explanation":"(a) Total for files = $50 \u2212 $18 = $32; each file = $32 \u00f7 8 = $4. (b) Pen = $4 \u00f7 4 = $1; total on 8 files + pen = $32 + $1 = $33."},"15156":{"question":"Sandy gave the cashier a \\$10 note and received \\$2.70 as change. Which two items did she buy?\nSalad \\$7.90, Burger \\$4.80, Fries \\$3.10, Drink \\$2.50","explanation":"Amount spent = $10 - $2.70 = $7.30. Burger $4.80 + Drink $2.50 = $7.30, which matches. So she bought a burger and a drink."},"15170":{"question":"Doughnuts are sold at the price: 1 for \\$2, 4 for \\$7. (a) Mei Ling bought 3 doughnuts. How much did she pay? (b) Raja bought 9 doughnuts. What was the least amount of money he paid? [?] [?]","explanation":"(a) 3 doughnuts at $2 each = 3 \u00d7 $2 = $6. (b) For 9 doughnuts, the cheapest is two sets of 4 ($7 + $7 = $14) plus 1 single ($2): $14 + $2 = $16."},"15185":{"question":"How much did the book and the pencil case cost altogether?\nAns: $","explanation":"Add the two prices: $12.75 (book) + $6.45 (pencil case) = $19.20."},"15187":{"question":"The bar graph shows the number of ice cream cones Mr Ahmad sold over 5 days. Each ice cream cone was sold for \\$3. How much money did Mr Ahmad collect on Wednesday?\nAns: \\$[?]","explanation":"Read Wednesday's bar = 44 cones. Money collected = 44 \u00d7 $3 = $132."},"15191":{"question":"Mrs Tan spent $35. How many mangoes did she buy?\nAns: ","explanation":"Mangoes cost 3 for $7. Number of $7 sets = $35 \u00f7 $7 = 5 sets. Mangoes = 5 \u00d7 3 = 15."},"15204":{"question":"What is the value of 8 ten-cent coins and 3 twenty-cent coins?","explanation":"8 ten-cent coins = 80 cents. 3 twenty-cent coins = 60 cents. Total = 80 + 60 = 140 cents = $1.40."},"15213":{"question":"A T-shirt cost \\$25.20. A skirt cost \\$19.30. Sally had \\$15 left after paying for a T-shirt and a skirt. How much money did Sally have at first?","explanation":"Cost of T-shirt and skirt = $25.20 + $19.30 = $44.50. Money at first = $44.50 + $15 = $59.50."},"15224":{"question":"Timmy has \\$100. He spends \\$29.90 on a pizza and \\$12.50 on a movie ticket. He saves the rest of the money. How much money does he save?\n\\$[?]","explanation":"Total spent = $29.90 + $12.50 = $42.40. Money saved = $100 \u2212 $42.40 = $57.60."},"15237":{"question":"Find the sum of \\$7.65 and \\$99.55. \\$[?]","explanation":"Add the two amounts: $7.65 + $99.55 = $107.20. (Add the cents: 65 + 55 = 120 cents = $1.20; add the dollars: 7 + 99 = 106; total $106 + $1.20 = $107.20.)"},"15238":{"question":"Jia Jia bought a wallet for \\$84. She gave the cashier 2 pieces of \\$50 notes. The cashier gave her the change in \\$2 notes. How many \\$2 notes did Jia Jia receive? [?]","explanation":"She gave 2 x $50 = $100. Change = $100 - $84 = $16. In $2 notes: $16 \u00f7 $2 = 8 notes."},"15247":{"question":"John had \\$156. He wanted to buy a soccer ball which cost \\$79 and a jacket that cost \\$150. How much more money would John need to save in order to buy these two items? [?]","explanation":"Total cost of both items = $79 + $150 = $229. John has $156, so he still needs $229 - $156 = $73 more."},"15259":{"question":"The bar graph shows the number of ice-cream cones sold at a funfair. Each ice-cream cone was sold for $2. What was the total amount received from the sale of the ice-cream cones?","explanation":"From the bar graph: Chocolate 180, Mango 100, Strawberry 80, Vanilla 120. Total cones = 180 + 100 + 80 + 120 = 480. Amount = 480 \u00d7 $2 = $960."},"15261":{"question":"Mother bought a cake and 2 slices of pie. She gave the cashier \\$50. How much change did she receive? 1 cake for \\$27.15. 1 slice of pie for \\$1.40.","explanation":"Change = $50 \u2212 $29.95 = $20.05."},"15268":{"question":"Pen \\$1.75. Eraser 65\u00a2. Highlighter \\$2.15. Stapler \\$4.90. What is the price difference between the cheapest and most expensive item? \\$[?]","explanation":"Cheapest = eraser 65\u00a2 = $0.65; most expensive = stapler $4.90. Difference = $4.90 \u2212 $0.65 = $4.25."},"15275":{"question":"\\$9 per packet. Buy 1 packet and get 2 pens free. (a) Mdm Aishah needs 48 pens. What is the least amount of money she has to pay? (b) Sam has \\$46. What is the greatest number of pens he can get? \\$[?] [?]","explanation":"Each packet has 6 pens for $9, plus 2 free pens = 8 pens per packet for $9. (a) For 48 pens: 48 \u00f7 8 = 6 packets; 6 \u00d7 $9 = $54. (b) With $46: $46 \u00f7 $9 = 5 packets (remainder $1); 5 packets \u00d7 8 pens = 40 pens."},"15278":{"question":"What is the total cost of 8 twenty-cent stamps and 7 fifty-cent stamps?","explanation":"8 x 20c = 160c. 7 x 50c = 350c. Total = 160 + 350 = 510c = $5.10. Answer: $5.10."},"15284":{"question":"Gerry bought a plate of Nasi Lemak and a bowl of Laksa. She gave the cashier \\$20. How much change did she receive?\n\\$[?]","explanation":"Nasi Lemak $7.80 + Laksa $9.40 = $17.20. Change = $20 - $17.20 = $2.80. Answer: $2.80."},"15285":{"question":"Faith had \\$16. She bought two different dishes from the food stall. Which two possible dishes could she buy? How much did she spend?\nDishes: [?] and [?]\nAmount spent: \\$[?]","explanation":"Pick two different dishes whose total does not exceed $16. Fishball Noodles $7.30 + Nasi Lemak $7.80 = $15.10, which is within $16. Answer: Fishball Noodles and Nasi Lemak, $15.10."},"15287":{"question":"Joan bought a handbag for \\$85.20. She bought a coin pouch that cost \\$24.80 less than the handbag. How much money did she spend on the handbag and coin pouch altogether?\n\\$[?]","explanation":"Coin pouch = $85.20 - $24.80 = $60.40. Total = $85.20 + $60.40 = $145.60. Answer: $145.60."},"15288":{"question":"A watch usually cost \\$176.20. Annie bought 2 watches for \\$305.50 during a sale. How much money did she save altogether?\n\\$[?]","explanation":"Usual cost of 2 watches = $176.20 + $176.20 = $352.40. Saving = $352.40 - $305.50 = $46.90. Answer: $46.90."},"15293":{"question":"A bag of 4 mangoes cost $7. How much did Ms Nurul pay for 20 mangoes?","explanation":"20 mangoes make 20 \/ 4 = 5 bags. Each bag costs $7, so 5 x $7 = $35."},"15297":{"question":"Theo had enough money to buy 3 model trains at $120 each. He can also buy 5 monster trucks with the same amount of money. How much does each monster truck cost? [?]","explanation":"Total money = 3 x $120 = $360. Cost of each monster truck = $360 \/ 5 = $72."},"15300":{"question":"Joshua and Selina had some money each. Joshua bought a basketball and had \\$80 left while Selina received \\$125 from her father. Selina did not spend any money. They had \\$298 altogether in the end. How much money did Selina have at first? [?]","explanation":"In the end they had $298. Joshua had $80 left, so Selina had $298 - $80 = $218 in the end. Selina received $125 from her father, so at first she had $218 - $125 = $93."},"15303":{"question":"Write 750\u00a2 in dollars.\n$","explanation":"100\u00a2 = $1, so divide by 100: 750\u00a2 \u00f7 100 = $7.50."},"15304":{"question":"Count and write the amount of money.\n$","explanation":"Notes: $50 + $10 + $10 = $70. Coins: $1 + $1 + 50\u00a2 + 10\u00a2 + 10\u00a2 + 10\u00a2 + 50\u00a2 = $2.80 (figure shows two $1 coins, three 10\u00a2 coins and two 50\u00a2 coins). Total $70 + $2.80 = $72.80."},"15307":{"question":"Write the missing amount that makes \\$100.\n\\$53.40 + \\$[?] = \\$100","explanation":"Subtract from $100: $100.00 - $53.40 = $46.60."},"15313":{"question":"On Monday, Devi sold a total of 42 cupcakes. She sold the cupcakes in boxes of 6.\n(a) How many boxes of cupcakes did she sell?\n(b) Every box was sold for \\$8. How much money did Devi collect?\n(a) [?]\n(b) \\$[?]","explanation":"(a) Number of boxes = 42 \u00f7 6 = 7 boxes. (b) Money collected = 7 boxes x $8 = $56."},"15315":{"question":"Chloe bought a dress for \\$38.40 and a T-shirt for \\$24.50.\n(a) How much did she spend in total?\n(b) How much more does the dress cost than the T-shirt?\n(a) \\$[?]\n(b) \\$[?]","explanation":"(a) Total spent = $38.40 + $24.50 = $62.90. (b) Difference = $38.40 - $24.50 = $13.90."},"15330":{"question":"Mrs Lim bought 2 identical watches and 3 identical necklaces. Each watch cost $51. 2 watches cost as much as 3 necklaces. How much did Mrs Lim pay for the 2 watches? [?]","explanation":"Each watch cost $51, so 2 watches = 51 \u00d7 2 = $102."},"15331":{"question":"Mrs Lim bought 2 identical watches and 3 identical necklaces. Each watch cost $51. 2 watches cost as much as 3 necklaces. What was the cost of 1 necklace? [?]","explanation":"2 watches cost $102, and 3 necklaces cost as much as 2 watches, so 3 necklaces = $102. One necklace = 102 \u00f7 3 = $34."},"15332":{"question":"A bakery is having a sale. For every 3 muffins a customer buys, he will get another muffin free. 3 muffins cost \\$5. Li Min has \\$5. How many muffins can Li Min get with all her money? [?]","explanation":"With $5 Li Min buys 3 muffins, and the offer gives 1 free muffin. So she gets 3 + 1 = 4 muffins."},"15333":{"question":"A bakery is having a sale. For every 3 muffins a customer buys, he will get another muffin free. 3 muffins cost $5. David wants to get 24 muffins for a party. How much must David pay to get 24 muffins? [?]","explanation":"Each $5 set gives 3 bought + 1 free = 4 muffins. To get 24 muffins he needs 24 \u00f7 4 = 6 sets. Cost = 6 \u00d7 $5 = $30."},"15347":{"question":"Peter bought a camera. He paid the exact amount using the money shown. How much did the camera cost? $","explanation":"Add the notes and coins: $50 + $5 + $2 + $2 + $1 + 50c + 10c + 10c + 10c + 5c = $60.85."},"15364":{"question":"Leo bought a toy car that cost \\$13.85. He paid an additional \\$1.50 for a box. How much did he spend in all? Leo paid the cashier with two \\$10-notes. How much change did he receive?\n[?] , [?]","explanation":"(a) Total spent = $13.85 + $1.50 = $15.35. (b) Two $10-notes = $20. Change = $20.00 - $15.35 = $4.65."},"15382":{"question":"Lily has some money. After her mother gave her \\$3.60. She had \\$13. How much did she have at first?","explanation":"She ended with $13 after receiving $3.60, so at first she had $13 - $3.60 = $9.40."},"15387":{"question":"A pencil costs \\$3. Andy has \\$12, two 50-cent coins, one 50-cent coin and three 20-cent coins. Ben has some notes and coins. Who has enough money to buy the pencil?","explanation":"Add up each person's money and compare with $3. Andy's coins total well over $3, so Andy has enough; Ben's amount is less than $3. Only Andy can buy the pencil."},"15389":{"question":"Joe bought a tie for \\$19.90 and a gift for \\$8.50. He had \\$4 left. How much did he have at first? [?]","explanation":"At first money = total spent + money left. Spent = $19.90 + $8.50 = $28.40. Add the $4 left: $28.40 + $4 = $32.40."},"15404":{"question":"There are 5 items. Kyan spent \\$18 on 3 different items. What did Kyan buy?\nbun \\$2.40, doughnut \\$5.80, muffin \\$5.40, sandwich \\$6.80, cake \\$11.20","explanation":"Kyan bought 3 different items totalling $18. Check option 4: doughnut $5.80 + muffin $5.40 + sandwich $6.80 = $18.00. The other options either have only 2 items or do not total $18. Answer: option 4."},"15407":{"question":"Muthu bought a remote control car for \\$64.70 and a toy plane for \\$25.80. He had \\$8.60 left after buying the 2 items. How much money did Muthu have at first? [?]","explanation":"Cost of the two items: $64.70 + $25.80 = $90.50. He had $8.60 left, so at first he had $90.50 + $8.60 = $99.10."},"15408":{"question":"Li Hua spent \\$24 on some apples. She forgot to bring her own bag and had to pay \\$0.35 on plastic bags. How much change did she get when she gave the cashier \\$50? [?]","explanation":"Total spent = $24 + $0.35 = $24.35. Change = $50 - $24.35 = $25.65. (Equivalently $50 - $24 = $26, then $26 - $0.35 = $25.65.)"},"15423":{"question":"Rani baked 96 cupcakes. She packed 4 cupcakes in a box. She sold each box for $8. How much did Rani collect from selling all the boxes of cupcakes? [?]","explanation":"Number of boxes = 96 \u00f7 4 = 24. Amount collected = 24 \u00d7 $8 = $192."},"15434":{"question":"Sarah has \\$1048. Mei Ling has \\$476 less than Sarah. How much money does Mei Ling have?\n\\$[?]","explanation":"Mei Ling has $476 less than Sarah, so subtract: $1048 \u2212 $476 = $572."},"15437":{"question":"A sofa costs \\$3000. The sofa costs \\$695 more than the cupboard. How much does the cupboard cost?\n\\$[?]","explanation":"The sofa is $695 more than the cupboard, so the cupboard is $695 less than the sofa: $3000 \u2212 $695 = $2305."},"15438":{"question":"A sofa costs \\$3000. Mr Ahmad wants to buy a sofa. He only has \\$2865. How much more money does he need?\n\\$[?]","explanation":"Find the shortfall: sofa price minus money he has = $3000 \u2212 $2865 = $135. He needs $135 more."},"15444":{"question":"Item A costs \\$48.90, Item B costs \\$90.80, Item C costs \\$89.40. Which item is the most expensive?","explanation":"Compare the prices: $90.80 > $89.40 > $48.90. The greatest is $90.80, which is Item B."},"15446":{"question":"Count and write the total amount of money.\n$","explanation":"Three $50 notes = $150; four $10 notes = $40; three $5 notes = $15; three 10c coins + one 50c coin = $0.90. Total = $150 + $40 + $15 + $0.90 = $205.90."},"15450":{"question":"Jim and Priya spent \\$42.40 on lunch together. Jim ordered Pasta (\\$16.90). Burger costs \\$19.50, Pizza costs \\$25.50, Fish and Chips costs \\$22.10. Which item did Priya order?","explanation":"Priya's item = total - Jim's pasta = $42.40 - $16.90 = $25.50. That price matches Pizza."},"15451":{"question":"Miss Chan spent \\$98.90 on a pair of shoes. She spent \\$43.70 on a dress. How much more did she spend on the pair of shoes than on the dress?\n\\$[?]","explanation":"Find the difference: $98.90 - $43.70 = $55.20."},"15466":{"question":"5 chairs cost as much as 3 tables. A table cost $90. What is the cost of 1 chair? ","explanation":"3 tables cost 3 x $90 = $270. This equals the cost of 5 chairs, so 1 chair = $270 \/ 5 = $54. Answer key: $54."},"15495":{"question":"Find the value of \\$14.35 + \\$5.90","explanation":"$14.35 + $5.90 = $20.25 (add the cents: 35 + 90 = 125c = $1.25; 14 + 5 + 1 = $20)."},"15502":{"question":"The bar graph shows the number of each type of fish Mr Lee sold last Sunday.\nMr Lee sold each fish for \\$4.\nHow much did Mr Lee collect from selling all guppies and goldfish?\nAns: \\$[?]","explanation":"Guppies = 65, Goldfish = 85; total = 65 + 85 = 150 fish. 150 \u00d7 $4 = $600."},"15503":{"question":"Mrs Lee bought a dress for \\$39.90 and a pair of shoes for \\$56.80.\nShe gave the cashier a \\$100 note\nHow much change should Mrs Lee get?\nAns: \\$[?]","explanation":"Total spent = $39.90 + $56.80 = $96.70. Change = $100 \u2212 $96.70 = $3.30."},"15506":{"question":"A bag cost \\$9 more than a wallet.\nMr Lim paid \\$54 for 2 identical bags and a wallet.\nHow much did a wallet cost?\nAns: \\$[?]","explanation":"2 bags + 1 wallet = $54. Each bag = wallet + $9, so 2 bags = 2 wallets + $18. Then 3 wallets + $18 = $54, 3 wallets = $36, wallet = $12."},"15510":{"question":"The diagram shows the amount of money in Devi's purse. She donated some coins into a box. Which of the following could be a possible amount that Devi had donated?","explanation":"The purse holds $1, 50c, 20c, 10c and 5c, totalling $1.85. A donated amount must be a sum of some of these coins. $1.60 = $1 + 50c + 10c, which works. $0.40 and $0.95 cannot be made from the coins, and $1.90 exceeds the total of $1.85. Answer: $1.60 (option 3)."},"15512":{"question":"Sally wants to buy the pair of sneakers. She only has \\$13.60. How much more money does she need? Answer: \\$[?]","explanation":"The sneakers cost $32.50 and Sally has $13.60. Money still needed = $32.50 - $13.60 = $18.90."},"15516":{"question":"Desmond and Judy went to a sports shop. Desmond bought a pair of socks and a helmet. Judy bought a pair of skates. Skates cost \\$125.90, helmet \\$46.80 and socks \\$10.60. How much more money did Judy spend than Desmond? Answer: \\$[?]","explanation":"Desmond spent socks + helmet = $10.60 + $46.80 = $57.40. Judy spent skates = $125.90. Difference = $125.90 - $57.40 = $68.50 more."},"15524":{"question":"The bar graph shows the number of burgers sold in 5 days. Each burger was sold at $6. How much money was collected for the burgers sold on Tuesday?","explanation":"Read the Tuesday bar: 90 burgers were sold. Multiply by the price. 90 \u00d7 $6 = $540. So $540 was collected."},"15526":{"question":"A packet of chicken rice costs \\$7. How much do 5 packets of chicken rice cost? \\$[?]","explanation":"Multiply the cost of one packet by the number of packets. 5 \u00d7 $7 = $35. The 5 packets cost $35."},"15533":{"question":"Amin had \\$49 more than Bala. (a) After Amin gave \\$7 to Bala, how much more money did Amin have than Bala in the end? (b) After getting the money from Amin, Bala had \\$55. How much money did both children have altogether? [?] [?]","explanation":"(a) When Amin gives $7 to Bala, the gap closes by 2 \u00d7 $7 = $14, so 49 \u2212 14 = $35 more. (b) Bala ends with $55, so Amin ends with 55 + 35 = $90. Altogether = 90 + 55 = $145."},"15545":{"question":"Aini baked 104 chocolate muffins and 128 blueberry muffins. She packed the muffins in bags of 6.\n(a) How many bags of muffins did she pack at most?\n(b) Aini sold each bag of muffins for \\$9. How much money did she receive if she sold all the bags of muffins?\n(a) [?] (b) \\$[?]","explanation":"(a) Total muffins = 104 + 128 = 232. Bags = 232 \/ 6 = 38 remainder 4, so at most 38 full bags. (b) 38 x $9 = $342."},"15550":{"question":"Mr Lee paid \\$75.80 for his electricity bill in March. He paid \\$12.45 less for his electricity bill in March than in April. How much was his electricity bill in April?","explanation":"March was $12.45 less than April, so April = March + $12.45 = $75.80 + $12.45 = $88.25."},"15554":{"question":"The table shows how Kathy spent her money (Pencil Case \\$7, Magazine \\$15, Toys \\$20, Storybook \\$15). Which of the following bar graphs best represents Kathy's spending shown in the table?","explanation":"The bars must be Pencil Case = 7 (shortest), Magazine = 15, Toys = 20 (tallest), Storybook = 15 (equal to Magazine). Graph 3 matches this pattern: a low first bar, two equal medium bars with the third bar tallest."},"15560":{"question":"Sue saved \\$96 each month. Tim saved 4 times as much as Sue each month. How much would Tim save in 5 months? \\$[?]","explanation":"Tim saves 4 \u00d7 $96 = $384 each month. In 5 months he saves $384 \u00d7 5 = $1920."},"15592":{"question":"James bought 5 pencils and 2 markers for \\$27. 1 marker cost twice as much as a pencil. How much did a marker cost?\n\\$[?]","explanation":"1 marker = 2 pencils. So 2 markers = 4 pencils. Total in pencil-units = 5 + 4 = 9 pencils = $27, so 1 pencil = $27 \/ 9 = $3. A marker = 2 x $3 = $6."},"15605":{"question":"During a carnival, John collected \\$4032 from the sale of chicken burgers and \\$6874 from sausage burgers. How many more sausage burgers than chicken burgers were sold?\nChicken Burger: \\$8\nSausage Burger: \\$7\n[?]","explanation":"Chicken burgers sold = 4032 \/ 8 = 504. Sausage burgers sold = 6874 \/ 7 = 982. Difference = 982 - 504 = 478."},"15606":{"question":"Peter and John had the same amount of money at first. After Peter spent \\$156 and John spent \\$12, John had 4 times as much money left as Peter. How much did John have at first?\n\\$[?]","explanation":"Both started equal. The difference between what they spent = 156 - 12 = 144, which equals the difference in money left (3 units, since John has 4 units and Peter 1 unit). So 3 units = 144, 1 unit = 48 (Peter's remainder). John at first = Peter's start = 48 + 156 = $204."},"15628":{"question":"Peter and James have a total of $7950. Peter has twice as much money as James. How much money must Peter give to James so that they will have the same amount of money?","explanation":"3 units = 7950, so 1 unit = 2650. James = 2650, Peter = 5300. Equal share = 3975 each. Peter gives 5300 - 3975 = 1325."},"15629":{"question":"For every 5 cupcakes purchased, 1 additional cupcake will be given free. What is the least amount of money Mrs Lee pays for 20 cupcakes?","explanation":"Every set of 6 cupcakes costs 5 x $4 = $20 (5 paid + 1 free). 3 sets = 18 cupcakes for $60. The remaining 2 cupcakes cost 2 x $4 = $8. Total = $60 + $8 = $68."},"15641":{"question":"Amanda paid a total of \\$1620 for 2 air purifiers and 3 fans. Each air purifier cost thrice as much as a fan. How much did each fan cost? \\$[?]","explanation":"Let a fan = 1 unit, an air purifier = 3 units. 2 purifiers + 3 fans = 6 units + 3 units = 9 units = $1620. 1 unit = 1620 \/ 9 = $180. Each fan costs $180."},"15651":{"question":"Audrey bought a dining table and 4 similar chairs. The dining table cost \\$821 more than the total cost of the 4 chairs. She gave the cashier \\$2800 and received \\$43 change. How much did each chair cost? \\$[?]","explanation":"Total spent = 2800 - 43 = 2757. Table = 4 chairs + 821. So 2 x (4 chairs) + 821 = 2757, 8 chairs = 2757 - 821 = 1936, each chair = 1936 \/ 8 = $242."},"15660":{"question":"Lucy bought a storybook for \\$10.95 and a file for \\$2.70. She gave the cashier \\$20. How much change did she receive?","explanation":"Total spent = $10.95 + $2.70 = $13.65. Change = $20 - $13.65 = $6.35."},"15672":{"question":"The bar graph shows the amount of money four students saved in a week. What was the total amount of money saved by Aini and Cindy?\n[?]","explanation":"From the bar graph, Aini saved $18 and Cindy saved $14. Total = $18 + $14 = $32."},"15673":{"question":"After Muthu had given Joseph $4, how much more money would Muthu have than Joseph?\n[?]","explanation":"From the graph Muthu saved $24 and Joseph saved $10. After Muthu gives $4: Muthu has $20, Joseph has $14. Difference = $20 - $14 = $6."},"15675":{"question":"After Julia donated half of her savings to charity and spent \\$124 on a toy, she had \\$102 left. How much savings did Julia have at first?\n[?]","explanation":"Half of her savings = $124 + $102 = $226. So all her savings = $226 x 2 = $452."},"15678":{"question":"Siti and Ahmad spent a total of \\$200.25 at the supermarket. Siti spent \\$102.90. How much more did Siti spend than Ahmad?\n[?]","explanation":"Ahmad spent $200.25 - $102.90 = $97.35. Siti spent more by $102.90 - $97.35 = $5.55."},"15679":{"question":"Ben paid $630 for a suit and a pair of shoes. The suit cost 5 times as much as the pair of shoes. How much did the pair of shoes cost?\n[?]","explanation":"Shoes = 1 unit, suit = 5 units, total = 6 units = $630. 1 unit = $630 \/ 6 = $105, so the shoes cost $105."},"15692":{"question":"Timothy paid a total of \\$12 200 for 5 identical laptops and 3 identical mobile phones. Each laptop cost \\$720 more than each mobile phone. What was the cost of one mobile phone?\n[?]","explanation":"The 5 laptops cost 5 x $720 = $3600 more than 5 phones. Remove this: $12 200 - $3600 = $8600 for 8 equal phone-prices. 1 phone = $8600 \/ 8 = $1075."},"15693":{"question":"In a bakery, muffins were only sold in boxes. A box of 4 big muffins cost \\$11 and a box of 6 mini muffins cost \\$8. Jenny bought the same number of big muffins and mini muffins. What was the least possible amount of money she would have paid for the muffins?\n[?]","explanation":"Smallest equal number is the LCM of 4 and 6 = 12. Big: 12 \/ 4 = 3 boxes x $11 = $33. Mini: 12 \/ 6 = 2 boxes x $8 = $16. Least total = $33 + $16 = $49."},"15709":{"question":"Dan had \\$20. He bought a book for \\$17.80 and the cashier gave him the change in twenty-cent coins. How many twenty-cent coins did Dan receive?","explanation":"Change = $20 - $17.80 = $2.20 = 220 cents. Each coin is 20 cents, so 220 \/ 20 = 11 coins."},"15731":{"question":"The total cost of a bookshelf and study table is \\$3500. The study table cost \\$720 more than the bookshelf. (a) What is the cost of the bookshelf? (b) A sofa cost twice as much as the bookshelf. What is the total cost of the bookshelf, study table and sofa? [?] , [?]","explanation":"(a) Remove the $720 extra: $3500 - $720 = $2780, split equally: $2780 \u00f7 2 = $1390 (bookshelf). (b) Sofa = 2 x $1390 = $2780. Total = $3500 (bookshelf + table) + $2780 (sofa) = $6280."},"15735":{"question":"Mr Wallace and Mrs Zee bought washing powder from a shop. The prices are: 1 box for \\$1.95; or buy three boxes AND get one box free for a total of \\$5.60. (a) Mr Wallace bought 2 boxes of washing powder from the shop. How much did he pay in all? (b) Mrs Zee needed 13 boxes of washing powder. What is the least amount of money she spent to purchase the washing powder from the shop? [?] , [?]","explanation":"(a) 2 boxes at $1.95 each = $1.95 + $1.95 = $3.90. (b) Each $5.60 deal gives 4 boxes. 13 boxes = three deals (12 boxes) + 1 single box: 3 x $5.60 = $16.80, plus $1.95 = $18.75."},"15768":{"question":"All the patients who visited ABC Clinic in Week 3 took a vaccination. Each of them paid $18 for it. How much money was collected from all the patients in Week 3?\n[?]","explanation":"Week 3 patients = 125 (from the graph). Money collected = 125 x $18 = $2250."},"15769":{"question":"Mason has \\$740 and Amin has \\$198. How much money must Mason give to Amin so that both of them have the same amount of money?\n[?]","explanation":"Difference = $740 - $198 = $542. To equalise, Mason gives away half the difference: $542 \/ 2 = $271."},"15773":{"question":"A jar of honey costs $17.60 more than a bottle of detergent. 3 such jars of honey cost as much as 5 such bottles of detergent. Find the cost of each bottle of detergent.\n[?]","explanation":"3 jars = 5 bottles in cost. Each jar = detergent + $17.60, so 3 jars = 3 detergents + $52.80. Setting equal to 5 detergents: 5 detergents - 3 detergents = $52.80, so 2 detergents = $52.80, each detergent = $26.40."},"15789":{"question":"Cayden had $84. He spent \\(\\dfrac{3}{7}\\) of his money on a puzzle. How much money did he have left?","explanation":"Fraction left = 1 - 3\/7 = 4\/7. Money left = 4\/7 x $84 = 4 x ($84 \/ 7) = 4 x $12 = $48."},"15792":{"question":"1 pen cost as much as 4 erasers. Danny paid $8.40 for 1 pen and 3 erasers. Find the cost of 1 eraser.","explanation":"1 pen = 4 erasers. So 1 pen + 3 erasers = 4 erasers + 3 erasers = 7 erasers = $8.40. 1 eraser = $8.40 \/ 7 = $1.20."},"15809":{"question":"Melissa's monthly salary is thrice the amount she spent in June. Her monthly salary is $8424. How much did she spend in June? ","explanation":"Salary = 3 x (amount spent). So amount spent = $8424 \/ 3 = $2808."},"15810":{"question":"A chicken sandwich costs \\$2.70 and a fruit juice costs \\$1.55. Harry had \\$50. He bought 1 chicken sandwich and a fruit juice. How much money had he left? [?]","explanation":"Total spent = $2.70 + $1.55 = $4.25. Money left = $50 - $4.25 = $45.75."},"15815":{"question":"A t-shirt, a bag and a cap cost \\$256. The bag costs \\$24 more than the cap. The t-shirt costs the same as the total value of the bag and the cap. How much does the cap cost? [?]","explanation":"T-shirt = bag + cap, so (bag + cap) + (bag + cap) = $256, giving bag + cap = $128. Bag = cap + $24, so 2 caps + $24 = $128, 2 caps = $104, cap = $52."},"15818":{"question":"The line graph shows the number of people who visited a museum in 6 years. (a) What was the increase in the number of people visiting the museum from 2018 to 2019? (b) Each ticket to the museum cost $8. How much did the museum collect from the sale of the tickets in 2014? ","explanation":"From the line graph, (a) 2018 = 3000 and 2019 = 4600, so the increase = 4600 - 3000 = 1600. (b) 2014 visitors = 4000; tickets collected = 4000 x $8 = $32 000."},"15839":{"question":"At a fruit shop, apples were sold in bags of 6 only and not separately. Each bag of apples cost \\$4. Kelly has \\$19. What is the greatest number of apples that she can buy? [?]","explanation":"$19 \/ $4 = 4 bags with $3 left over (4 bags cost $16). 4 bags x 6 apples = 24 apples."},"15841":{"question":"3 apples and 1 honeydew cost \\$7.17. 2 apples and 1 honeydew cost \\$6.27. What is the total cost of 2 apples? [?]","explanation":"The difference is exactly 1 apple: $7.17 - $6.27 = $0.90, so 1 apple = $0.90. 2 apples = $0.90 + $0.90 = $1.80."},"15844":{"question":"Jill saves $612. She saves six times as much as her brother, Tom. How much must she give Tom so that both of them have an equal amount of money? ","explanation":"Tom = $612 \/ 6 = $102. Together they have $612 + $102 = $714. Equal share = $714 \/ 2 = $357. Jill must give Tom $612 - $357 = $255."},"15876":{"question":"2 similar plates cost as much as 3 similar bowls. George paid $60 for 4 such plates and 4 such bowls. How much must George pay if he buys only 5 bowls instead?\n[?]","explanation":"2 plates = 3 bowls, so 4 plates = 6 bowls. 4 plates + 4 bowls = 6 bowls + 4 bowls = 10 bowls = $60. So 1 bowl = $6 and 5 bowls = 5 x $6 = $30."},"15881":{"question":"Ahmad sold an equal number of apples and peaches. Each apple cost \\$2 while each peach cost \\$5. He collected a total of \\$756 from the sale of the fruits. (a) How many peaches were sold? (b) How much money was collected from the sales of apples?\n[?] , [?]","explanation":"(a) 1 apple + 1 peach = $2 + $5 = $7 per matching pair. Number of each = $756 \/ $7 = 108 peaches (and 108 apples). (b) Money from apples = 108 x $2 = $216."},"15883":{"question":"The table shows the entrance fees for the Colourful Flower Exhibition. Adult: Weekday \\$13.90, Weekend \\$15.90. Child (3 to 12 years old): Weekday \\$6, Weekend \\$8. (a) On Saturday, Mr Chandra and his four-year-old child visited the exhibition. How much did Mr Chandra pay for the entrance fees altogether? (b) On Wednesday, Ms Sim brought a group of Primary 4 students. They paid a total of \\$241.90 to enter. How many students did Ms Sim bring?\n[?] , [?]","explanation":"(a) Saturday is a weekend: adult $15.90 + child $8 = $23.90. (b) Wednesday is a weekday. Ms Sim (adult) pays $13.90, so students pay $241.90 - $13.90 = $228. Each child weekday fee is $6, so number of students = $228 \/ $6 = 38."},"15897":{"question":"A dress cost twice as much as a shirt. Mrs Lim paid $120 for 1 dress and 3 shirts. What is the cost of 1 shirt?","explanation":"1 dress = 2 shirts. So 1 dress + 3 shirts = 2 + 3 = 5 units = $120. One shirt = $120 \/ 5 = $24."},"15927":{"question":"The line graph shows the number of parcels delivered by Terry in a week. Terry earns \\$1 for each parcel delivered. For every 50 parcels delivered in a week, Terry earns an additional bonus of \\$5. How much did Terry earn in this week? [?]","explanation":"From the line graph, Daily parcels: 34 + 48 + 44 + 50 + 56 = 232. Base pay = $232. Bonus: 232 \u00f7 50 = 4 full lots of 50, 4 x $5 = $20. Total = 232 + 20 = $252."},"15932":{"question":"4 files and 2 writing pads cost \\$11.60. 8 files and 6 writing pads cost \\$26. What is the cost of 1 writing pad? [?]","explanation":"Double the first: 8 files + 4 pads = $23.20. Compare with 8 files + 6 pads = $26: the 2 extra pads cost $26 - $23.20 = $2.80. So 1 pad = $2.80 \u00f7 2 = $1.40."},"15947":{"question":"Round $83.62 to the nearest ten dollar.","explanation":"$83.62 is between $80 and $90; since 83.62 is closer to 80 (the ones digit 3 is less than 5), it rounds to $80."},"15970":{"question":"Ticket prices at Dazzle Zoological Gardens are 1 adult: \\$? each, 1 child: \\$7.50 each. Mr and Mrs Lee brought their 5 children to Dazzle Zoological Gardens. They paid \\$67.50 in total for their tickets. How much did the tickets for 5 children cost? Find the cost of 1 adult ticket.\n[?] , [?]","explanation":"(a) 5 children = 5 \u00d7 $7.50 = $37.50. (b) The 2 adult tickets cost $67.50 \u2212 $37.50 = $30, so 1 adult ticket = $30 \u00f7 2 = $15."},"15973":{"question":"Poppy paid \\$375 for 4 similar watches and 5 similar headphones. Melody paid \\$160 less for 2 similar watches and 3 similar headphones. What was the cost of 2 similar watches and 3 similar headphones? What was the cost of a headphone?\n[?] , [?]","explanation":"(a) 2 watches + 3 headphones = $375 \u2212 $160 = $215. (b) Doubling: 4 watches + 6 headphones = 2 \u00d7 $215 = $430. Subtract Poppy's 4 watches + 5 headphones = $375: that leaves 1 headphone = $430 \u2212 $375 = $55."},"15982":{"question":"Matthew and Paul had \\$348 altogether. After Paul gave \\$33 to Matthew, they each had an equal amount of money. How much did Paul have at first?","explanation":"Total stays $348, so after giving each has 348 \/ 2 = $174. Paul gave away $33, so at first Paul had 174 + 33 = $207."},"15993":{"question":"The bar graph shows the number of card games sold from Jan to Jun.\nThe price of a set of card game was $48. How much money was collected from all the card games sold in May?","explanation":"From the graph, 35 card games were sold in May. Money collected = 35 x $48 = $1680."},"16014":{"question":"Terry had \\$392 and Willy had \\$47 at first. Their father gave each of them an equal amount of money. In the end, Terry had 6 times as much money as Willy. How much money did their father give to each of them?\n[?]","explanation":"Let each receive g. Then 392 + g = 6 x (47 + g). 392 + g = 282 + 6g, so 110 = 5g, g = $22. (Check: Terry 392+22=414, Willy 47+22=69, 414 = 6 x 69.)"},"16015":{"question":"Mrs Lim bought some papayas and 12 mangoes. The offer is: 1 mango for \\$4.20; Buy 2 mangoes, get 1 mango free!\n(a) How much did Mrs Lim pay for the 12 mangoes?\n(b) Mrs Lim paid the cashier \\$100 for all the fruits and received \\$40.80 change. How much did all the fruits cost?\n[?] , [?]","explanation":"(a) Buy 2 get 1 free means every 3 mangoes she pays for 2. For 12 mangoes she pays for 12 \/ 3 x 2 = 8 mangoes: 8 x $4.20 = $33.60. (b) All fruits cost = $100 - $40.80 = $59.20."},"16016":{"question":"A baker baked 3 types of cakes. \\(\\dfrac{1}{3}\\) of the cakes were chocolate cakes, \\(\\dfrac{2}{9}\\) of them were blueberry cakes and the remaining were butter cakes.\n(a) What fraction of the cakes were butter cakes?\n(b) A total of 108 cakes were baked. Each cake was sold at $15. How much money was collected when \\(\\dfrac{1}{4}\\) of the cakes baked were sold?","explanation":"(a) Chocolate + blueberry = 1\/3 + 2\/9 = 3\/9 + 2\/9 = 5\/9. Butter = 1 - 5\/9 = 4\/9. (b) 1\/4 of 108 = 27 cakes sold. Money = 27 x $15 = $405."},"16029":{"question":"The table shows the price of meals sold at a fast-food restaurant. Peter ordered a regular fish burger meal, an upsized chicken burger meal and two apple pies for his lunch. How much did he pay altogether?","explanation":"Regular fish burger meal $6.85 + upsized chicken burger meal $7.50 + 2 apple pies (2 \u00d7 $2.10 = $4.20) = $6.85 + $7.50 + $4.20 = $18.55."},"16034":{"question":"Michael and Vincent saved a total of \\$420. After giving \\$15 to Vincent, Michael had three times as much money as Vincent. How much more money did Michael have than Vincent at first?","explanation":"Total stays $420. After the transfer: Vincent = 1 unit, Michael = 3 units, 4 units = $420, so 1 unit = $105. Vincent now has $105, Michael now has $315. At first: Vincent = $105 \u2212 $15 = $90; Michael = $315 + $15 = $330. Difference = $330 \u2212 $90 = $240."},"16051":{"question":"Hugh has three times as much money as Susanna. After Susanna gives \\$20 to Hugh, Hugh has \\$110 more than Susanna. How much does Susanna have in the end?\nAns: \\$ [?]","explanation":"Let Susanna start with 1 unit, Hugh with 3 units. After Susanna gives $20: Hugh = 3u + 20, Susanna = 1u \u2212 20. Difference = (3u+20) \u2212 (1u\u221220) = 2u + 40 = 110, so 2u = 70, u = 35. Susanna in the end = 35 \u2212 20 = $15."},"16056":{"question":"Xiu Lan's weekly allowance was \\$13.50 and De Ming's weekly allowance was \\$24. De Ming saved \\$3.75 and spent the rest. Xiu Lan spent all her money. How much more money did De Ming spend than Xiu Lan?\nAns: \\$ [?]","explanation":"De Ming spent $24 \u2212 $3.75 = $20.25. Xiu Lan spent all $13.50. Difference = $20.25 \u2212 $13.50 = $6.75."},"16057":{"question":"A fifty-cent coin has mass 6 g and a twenty-cent coin has mass 4 g. Bala has nine coins made up of 20 cents and 50 cents. The total mass of the coins is 42 g. What is the total value of the nine coins?\nAns: $ ","explanation":"If all 9 were 20c coins: 9 \u00d7 4 = 36 g. Extra mass = 42 \u2212 36 = 6 g. Each swap to a 50c coin adds 2 g, so 6 \u00f7 2 = 3 fifty-cent coins and 6 twenty-cent coins. Value = 3\u00d7$0.50 + 6\u00d7$0.20 = $1.50 + $1.20 = $2.70."},"16066":{"question":"Tristal bought 28 identical ovens and a kettle. Each oven cost 5 times as much as the kettle. The kettle cost $65. How much did she pay for all the ovens?","explanation":"1 oven = 5 x $65 = $325. 28 ovens = $325 x 28 = $9100. Answer: $9100."},"16070":{"question":"Peter sells three types of fruit juice. The bar graph shows the number of cups of each type of fruit juice sold by Peter on a particular day. The table shows the price of each cup of fruit juice. How much did Peter collect in total from the sales of fruit juices?","explanation":"From the bar graph: Watermelon 10 cups, Honeydew 6 cups, Mango 8 cups. Watermelon: 10 x $1 = $10; Honeydew: 6 x $1 = $6; Mango: 8 x $2 = $16. Total = $10 + $6 + $16 = $32. Answer: $32."},"16074":{"question":"Jiayi had \\$13. She bought 2 different items and paid more than \\$10 for them. The prices were: Calculator \\$7.80, Stapler \\$2.10, Comic Book \\$6.65, Plastic Folder \\$0.85, Notebook \\$5.45. Which were the 2 items she bought?","explanation":"Try each pair: Folder+Comic = $7.50; Folder+Stapler = $2.95; Notebook+Calculator = $13.25 (over $13); Comic+Notebook = $6.65 + $5.45 = $12.10 (more than $10 and within $13). Answer: Comic Book and Notebook."},"16095":{"question":"The line graph shows the cost related to the mass of rice sold in a shop. (a) Mr Sim bought 1.5 kg of rice. Mr Wee bought 2 kg of rice. How much more did Mr Wee have to pay than Mr Sim? (b) Mrs Tan spent \\$20 on rice. Mrs Goh spent \\$8 less than Mrs Tan on rice. Find the difference between the mass of rice bought by Mrs Tan and Mrs Goh.\n[?] , [?]","explanation":"From the graph, cost is $4 per kg (1 kg=$4, 2 kg=$8...). (a) Mr Sim 1.5 kg = $6, Mr Wee 2 kg = $8; difference = $8 - $6 = $2. (b) Mrs Tan $20 = 5 kg; Mrs Goh $20 - $8 = $12 = 3 kg; difference = 5 - 3 = 2 kg. Answers: (a) $2; (b) 2 kg."},"16096":{"question":"Michelle and Bridget went shopping with the same amount of money. After Michelle spent \\$8.80 and Bridget spent \\$50, Michelle had 5 times as much money left as Bridget. (a) How much money did Michelle have in the end? (b) How much money did Bridget have at first?\n[?] , [?]","explanation":"They started equal. The difference in what they spent is $50 - $8.80 = $41.20, which equals the difference in money left = 4 units (Michelle 5 units, Bridget 1 unit). 4 units = $41.20, 1 unit = $10.30. (a) Michelle's end = 5 units = $51.50. (b) Bridget at first = money left + spent = $10.30 + $50 = $60.30. Answers: (a) $51.50; (b) $60.30."},"16099":{"question":"At a bakery, the price of a cupcake was \\$2 and the price of a tart was \\$5. Ms Lim paid \\$38 to buy a total of 13 cupcakes and tarts. How many more cupcakes than tarts did Ms Lim buy?\n[?]","explanation":"If all 13 were cupcakes: 13 x $2 = $26. Extra = $38 - $26 = $12. Each swap to a tart adds $5 - $2 = $3, so tarts = $12 \/ $3 = 4. Cupcakes = 13 - 4 = 9. More cupcakes than tarts = 9 - 4 = 5. Answer: 5."},"16125":{"question":"3 cupcakes cost \\$2.95. How much do 12 cupcakes cost? \\$[?]","explanation":"12 \/ 3 = 4 sets. 4 x $2.95 = $11.80."},"16131":{"question":"Mrs Goh bought a dress and 2 skirts for \\$250. The dress cost \\$71.50 more than a skirt. How much was the cost of 1 skirt? \\$[?]","explanation":"Remove the extra: 250 - 71.50 = 178.50 equals 3 equal skirts. 178.50 \/ 3 = $59.50 per skirt."},"16133":{"question":"A pen cost \\$1.20 and a ruler cost \\$0.40. Sue bought 6 pens and 5 rulers. How much more did she pay for the pens than the rulers? \\$[?]","explanation":"Pens: 6 x $1.20 = $7.20. Rulers: 5 x $0.40 = $2.00. Difference = $7.20 - $2.00 = $5.20."},"16134":{"question":"The line graph shows the amount of money Dave saved each month. How many months did Dave save more than \\$1000? [?] How much did Dave save from October to December? \\$[?]","explanation":"From the line graph, (a) Months above $1000: Aug ($1250), Sep ($1050), Oct ($1450), Nov ($1100) = 4 months. (b) Oct + Nov + Dec = 1450 + 1100 + 450 = $3000."},"16140":{"question":"Mrs Lim baked 300 fruit tarts. \\(\\dfrac{1}{2}\\) of them were pineapple tarts, \\(\\dfrac{2}{5}\\) of them were strawberry tarts and the remaining were mango tarts. How many mango tarts did she bake? [?] Mrs Lim sold the pineapple and strawberry tarts at 5 for \\$9. How much would Mrs Lim collect from her sale of all the pineapple and strawberry tarts? \\$[?]","explanation":"(a) Pineapple = 1\/2 x 300 = 150; strawberry = 2\/5 x 300 = 120; mango = 300 - 150 - 120 = 30. (b) Pineapple + strawberry = 270 tarts; 270 \/ 5 = 54 sets; 54 x $9 = $486."},"16155":{"question":"1 slice of cake cost as much as 3 muffins. John paid $30 for 2 slices of cakes and 4 muffins. How much does 1 slice of cake cost?","explanation":"1 cake = 3 muffins. 2 cakes = 6 muffins. So 2 cakes + 4 muffins = 6 + 4 = 10 muffins = $30. 1 muffin = $3. 1 cake = 3 muffins = $9."},"16183":{"question":"Mrs Ong bought some fruits at a sale. Mangoes are sold in packs of 2 while apples are sold in packs of 3. Mangoes cost 2 for \\$5.20 and apples cost 3 for \\$4. (a) She bought 10 mangoes. How much did she pay for the mangoes? (b) With the same amount of money that she paid for the mangoes, what is the greatest number of apples she can buy? [?] , [?]","explanation":"(a) 2 mangoes = $5.20, so 10 mangoes = 5 packs x $5.20 = $26. (b) Apples are 3 for $4, i.e. one pack = $4. With $26: 26 \/ 4 = 6 packs (remainder $2). 6 packs x 3 apples = 18 apples."},"16218":{"question":"The table shows part of the menu at a cafe. Mr Gan bought a drink, 1 small fried rice and 1 medium spaghetti. The total cost of all his items was $5.30. What was the size (small, medium or large) of the drink he bought?","explanation":"Small fried rice = $1.50, medium spaghetti = $2.60. These total $4.10. Drink = $5.30 - $4.10 = $1.20, which is the price of a medium drink."},"16249":{"question":"Eve bought a pair of scissors costing \\$4.05 and a calculator costing \\$8.60 from the bookshop. How much did she spend in total? Give your answer to the nearest dollar. Ans: \\$[?]","explanation":"$4.05 + $8.60 = $12.65. Rounded to the nearest dollar, $12.65 \u2248 $13."},"16264":{"question":"Mr Tan went on a cruise with his wife and 4 children. A child ticket cost \\$170 less than an adult ticket. He paid \\$1600 for all the tickets. What was the cost of a child ticket? Ans: \\$[?]","explanation":"There are 2 adults and 4 children = 6 tickets. If all 6 were adult price, replace the 4 child tickets: 4 \u00d7 $170 = $680 less. So 6 adult tickets = $1600 + $680 = $2280. One adult = $2280 \u00f7 6 = $380. Child = $380 - $170 = $210."},"16268":{"question":"The line graph shows Mindy's savings from March to July. (a) What was the difference between her savings in April and June? (b) What was her total savings from March to July? (c) What fraction of her total savings from March to July was her savings in July? Give your answer in its simplest form. Ans (a): \\$[?] Ans (b): \\$[?] Ans (c): [?]","explanation":"Reading the graph: March $13, April $18, May $14, June $10, July $22. (a) April - June = 18 - 10 = $8. (b) Total = 13 + 18 + 14 + 10 + 22 = $77. (c) July fraction = 22\/77 = 2\/7 (divide by 11)."},"16373":{"question":"Jack and Bill had a total of \\$1730 in savings at first. After Jack donated \\$170 to charity, Bill had 3 times as much money as Jack. How much savings did Bill have?\n[?]","explanation":"After Jack donates $170, the remaining total is 1730 \u2212 170 = $1560. Now Bill = 3 \u00d7 Jack, so they form 4 equal units: 1 unit = 1560 \u00f7 4 = $390 (Jack). Bill = 3 units = 3 \u00d7 390 = $1170."},"16375":{"question":"George had \\$108 and Trevor had \\$52. After each of them bought a calculator at the same price, George had five times as much money left as Trevor. What was the cost of the calculator?\n[?]","explanation":"The difference between them stays the same: 108 \u2212 52 = $56. After buying, George = 5 \u00d7 Trevor, so the difference is 4 units = $56, giving 1 unit = 56 \u00f7 4 = $14 (Trevor's money left). Calculator cost = 52 \u2212 14 = $38."},"16376":{"question":"The cost of an adult ticket to a funfair was \\$8. The cost of a child ticket was \\$5. On a Monday, there were 50 visitors and \\$304 was collected altogether. How many more children than adults visited the funfair that day?\n[?]","explanation":"Assume all 50 were children: 50 \u00d7 $5 = $250. The extra $304 \u2212 $250 = $54 comes from adults paying $3 more each ($8 \u2212 $5). Number of adults = 54 \u00f7 3 = 18, so children = 50 \u2212 18 = 32. More children than adults = 32 \u2212 18 = 14."},"16459":{"question":"Jane spent \\$1749 in February. She spent \\$253 less in February than in January. How much did Jane spend in January? [?]","explanation":"February spending was $253 less than January, so January = February + $253 = $1749 + $253 = $2002."},"16464":{"question":"Mr Tan saved \\$4320 in the past 9 months. He saved \\$100 each month in the first 3 months. He saved the same amount of money each month in the last 6 months. How much did Mr Tan save each month in the last 6 months? [?]","explanation":"First 3 months saved: $100 x 3 = $300. Remaining over the last 6 months: $4320 - $300 = $4020. Monthly amount in the last 6 months: $4020 \u00f7 6 = $670."},"16471":{"question":"David paid \\$5.25 for a pencil case and \\$1.85 for a pen. How much did David pay altogether?\n[?]","explanation":"Add the two amounts: $5.25 + $1.85 = $7.10."},"16472":{"question":"Mrs Tan bought some fruits. She gave the cashier \\$50 and received \\$12.35 change. How much did she spend on the fruits?\n[?]","explanation":"Amount spent = amount given - change = $50.00 - $12.35 = $37.65."},"16475":{"question":"Adventure Cove Waterpark Entrance fees: Adult \\$32.40; Child (12-year-old and below) \\$21.60. Weekend Family Package: 2 adults \\$60; First 2 children \\$18.60 each; Additional child \\$18 each. Mr and Mrs Chan brought their children to the waterpark on Saturday. They paid \\$115.20 in total using the Weekend Family Package. How many children did they bring to the waterpark? [?]","explanation":"Cost for 2 adults = $60, so children cost = $115.20 - $60 = $55.20. First 2 children = $18.60 \u00d7 2 = $37.20. Remaining = $55.20 - $37.20 = $18.00, which is 1 additional child at $18. Total children = 2 + 1 = 3."},"16498":{"question":"Mrs Samy collected a total of \\$486 from selling some chocolate muffins and 63 banana muffins. She sold the chocolate muffins at \\$3 each and the banana muffins at \\$4 each. How many chocolate muffins did she sell?\n[?]","explanation":"Banana muffins earned 63 \u00d7 $4 = $252. So chocolate muffins earned $486 \u2212 $252 = $234. At $3 each, the number sold is $234 \u00f7 $3 = 78."},"16499":{"question":"Sam had 6 times as much money as Karl. Karl had \\$128 less than Andy. Both Karl and Andy had a total of \\$800. (a) How much money did Karl have? (b) Sam then bought 8 identical lego sets with all his money. How much did each lego set cost? [?] , [?]","explanation":"(a) Karl + Andy = $800 and Andy = Karl + $128. So 2 units of Karl = $800 \u2212 $128 = $672, giving Karl = $672 \u00f7 2 = $336. (b) Sam had 6 \u00d7 $336 = $2016. Each of 8 lego sets cost $2016 \u00f7 8 = $252."},"16565":{"question":"The line graph shows the amount of money Hafiz spent over five days. He saved the rest of his money. (a) How much more did he spend on Thursday than on Wednesday? \\(\\) (b) Hafiz earned $70 a day. Write down the days on which he saved more than he spent. and ","explanation":"From the line graph, (a) Thursday spending = $70 and Wednesday spending = $25. Difference = 70 - 25 = $45. (b) He earns $70 each day; he saves more than he spends when he spends less than $35 (half of $70). Spending: Mon $35, Tue $40, Wed $25, Thur $70, Fri $32. Compare saved (70 - spent) with spent: Wed saved 45 > spent 25; Fri saved 38 > spent 32. So the days are Wednesday and Friday."},"16603":{"question":"A magazine costs \\$5.90. It is \\$2.65 cheaper than a book. How much does the book cost?\n[?]","explanation":"The magazine is $2.65 cheaper than the book, so the book costs more. Book = $5.90 + $2.65 = $8.55."},"16605":{"question":"Mr Seah earned $2745. He spent $$\\frac{7}{9}$$ of his earnings and saved the rest. How much did Mr Seah save?\n[?]","explanation":"He spent \\(\\dfrac{7}{9}\\), so he saved \\(\\dfrac{2}{9}\\). The whole (9 units) = $2745, so 1 unit = 2745 \u00f7 9 = $305. Saved = 2 units = 305 x 2 = $610."},"16608":{"question":"Ahmad and Caili had an equal amount of money at first. After Ahmad had received \\$30.50 from his mother and Caili had spent \\$20, he had three times as much money as Caili. How much money did each of them have at first?\n[?]","explanation":"Let each start with the same amount. After the changes Ahmad has (start + 30.50) and Caili has (start - 20), and Ahmad = 3 x Caili. The difference between them is 30.50 + 20 = $50.50, which equals 2 of Caili's units (since 3 units - 1 unit = 2 units). So 1 unit (Caili after) = 50.50 \u00f7 2 = $25.25. Caili's starting amount = 25.25 + 20 = $45.25. Each had $45.25 at first."},"16610":{"question":"A cupcake cost \\$4 and a muffin cost \\$3. Mrs Lee spent \\$357 to buy an equal number of cupcakes and muffins. What was the total number of cupcakes and muffins Mrs Lee had bought?\n[?]","explanation":"One cupcake plus one muffin (a pair) costs (1 x $4) + (1 x $3) = $4 + $3 = $7. Number of pairs = 357 \u00f7 7 = 51. Each pair has 2 items, so total = 51 x 2 = 102 cupcakes and muffins."},"16653":{"question":"Helen had 3 fifty-dollar notes. She bought two blouses at \\$46.50 each. She also bought a pair of shoes. She had \\$28.60 left. How much did the pair of shoes cost? [?]","explanation":"Total money = 3 \u00d7 $50 = $150. Two blouses = 2 \u00d7 $46.50 = $93. Spent before shoes leaves $150 \u2212 $93 = $57. Shoes = $57 \u2212 $28.60 = $28.40."},"16707":{"question":"A fruit seller had 30 boxes of pineapples. There were 24 pineapples in each box. He sold all the pineapples at 6 for $18. How much money did he receive?","explanation":"Total pineapples = 30 \u00d7 24 = 720. At 6 for $18, each costs $3, so 720 \u00d7 $3 = $2160. (Or 720 \u00f7 6 = 120 groups \u00d7 $18 = $2160.)"},"16708":{"question":"Nancy and Peter bought a sofa. The sofa cost $1200. Nancy paid \\(\\dfrac{3}{8}\\) of the cost of the sofa. How much more did Peter pay than Nancy?","explanation":"Nancy paid \\(\\dfrac{3}{8}\\) of $1200 = $450. Peter paid the rest, \\(\\dfrac{5}{8}\\) = $750. Peter paid $750 \u2212 $450 = $300 more."},"16726":{"question":"Siti had the same number of \\$2 and \\$5 notes. She had a total of \\$252. How many \\$2 notes did she have? [?]","explanation":"Group one $2 note and one $5 note: each group is worth $2 + $5 = $7. Number of groups = $252 \u00f7 $7 = 36. So she had 36 $2 notes."},"16728":{"question":"A stall had a promotion: Buy 1 muffin for \\$3 each. Buy 4 muffins at \\$11. Mandy bought 49 muffins. What was the least amount of money Mandy had to pay for the 49 muffins? [?]","explanation":"Buy as many sets of 4 as possible: 49 \u00f7 4 = 12 sets remainder 1. 12 sets \u00d7 $11 = $132, plus 1 single muffin \u00d7 $3 = $3. Least amount = $132 + $3 = $135."},"16729":{"question":"James had \\$16.40. He wanted to buy 3 notebooks and 1 pencil case, but he was short of \\$3.30. (a) What was the total cost of the 3 notebooks and 1 pencil case? (b) The pencil case cost \\$2.90 more than each notebook. What was the cost of 1 notebook? [?] [?]","explanation":"(a) Total cost = $16.40 + $3.30 = $19.70. (b) Remove the extra $2.90 of the pencil case: $19.70 \u2212 $2.90 = $16.80, which is 4 equal notebook costs. 1 notebook = $16.80 \u00f7 4 = $4.20."},"16730":{"question":"Venus and Melvin were given some money. Venus spent \\(\\dfrac{1}{4}\\) of her money and had $141 left. (a) How much did Venus spend? (b) Melvin spent two times as much as Venus. He had \\(\\dfrac{2}{3}\\) of his money left. How much did Melvin have in the end? ","explanation":"(a) Venus spent \\(\\dfrac{1}{4}\\), so $141 is the remaining \\(\\dfrac{3}{4}\\). 1 unit = $141 \u00f7 3 = $47, which is the \\(\\dfrac{1}{4}\\) she spent. (b) Melvin spent 2 \u00d7 $47 = $94, and that is \\(\\dfrac{1}{3}\\) of his money (he had \\(\\dfrac{2}{3}\\) left). His \\(\\dfrac{2}{3}\\) left = $94 \u00d7 2 = $188."},"16732":{"question":"Lydia had twice as much money as Kenneth at first. Kenneth then gave Lydia $24. In the end, Lydia had 4 times as much money as Kenneth. How much money did Kenneth have at first? ","explanation":"The total stays constant. Before, Lydia : Kenneth = 2 : 1 (3 parts). After, 4 : 1 (5 parts). Make totals equal at 15: before 10 : 5, after 12 : 3. Kenneth drops from 5u to 3u, i.e. 2u = $24, so 1u = $12. Kenneth at first = 5u = 5 \u00d7 $12 = $60."},"16814":{"question":"Julia bought a book for \\$18.90 and a pencil box for \\$7.50. She gave the cashier \\$50. How much change did she get?","explanation":"Total spent = $18.90 + $7.50 = $26.40. Change = $50 \u2212 $26.40 = $23.60. Answer: $23.60."},"16823":{"question":"Aaron and Brandon had a total of \\$567 at first. After Aaron gave Brandon \\$33, Aaron had twice as much money as Brandon. How much money did Brandon have at first?","explanation":"The total stays $567 after the transfer. Then Aaron = 2 units, Brandon = 1 unit, 3 units = $567, so 1 unit = $189. Brandon after = $189, so Brandon at first = $189 \u2212 $33 = $156. Answer: $156."},"16836":{"question":"Henry paid \\$4 for 8 identical erasers. What was the cost of 1 such eraser? \\$[?]","explanation":"Cost of 1 eraser = $4.00 \u00f7 8 = $0.50. Answer: $0.50."},"16842":{"question":"Dora, Erica and Felicia had \\$4300 altogether. Dora had \\$980 more than Erica. Felicia had \\$340 less than Erica. How much money did Felicia have? \\$[?]","explanation":"Take Erica as 1 unit. Dora = 1 unit + $980, Felicia = 1 unit \u2212 $340. Total: 3 units + $980 \u2212 $340 = $4300, so 3 units = $4300 \u2212 $980 + $340 = $3660, 1 unit = $1220 (Erica). Felicia = $1220 \u2212 $340 = $880. Answer: $880."},"16845":{"question":"Pears are sold only in packs of 3 while apples are sold only in packs of 5. 3 Pears for \\$4.75. 5 Apples for \\$6. Caleb had \\$50. What was the greatest number of apples he could buy?\n[?]","explanation":"12 pears = 12 \u00f7 3 = 4 packs. Each pack of 3 pears costs $4.75, so 4 \u00d7 $4.75 = $19. Answer: $19."},"16902":{"question":"The line graph shows the amount of flour bought by a bakery for 5 days. All the flour bought by the bakery was sold in packets of 5 kg. Each packet of flour cost $20. How much more money did the bakery pay for the flour on Day 5 than Day 3?\n[?]","explanation":"From the graph, Day 5 = 105 kg, Day 3 = 75 kg. Difference = 105 - 75 = 30 kg. Packets = 30 \/ 5 = 6 packets. Cost = 6 x $20 = $120."},"16903":{"question":"The table shows the entrance fees to the Singapore Zoo. On Sunday, Mr and Mrs Fong, their ten-year-old child and sixty-five-year-old mother visited the Singapore Zoo. How much did the family pay for the entrance fees altogether?\n[?]","explanation":"Sunday rates: Adult $58, Child $43, Senior Citizen $25. Mr & Mrs Fong = 2 adults = 2 x $58 = $116. Ten-year-old child = $43. Sixty-five-year-old mother (senior) = $25. Total = 116 + 43 + 25 = $184."},"16905":{"question":"Ramli spent $$\\frac{1}{3}$$ of his monthly salary on a television. He spent $$\\frac{2}{9}$$ of his salary on food and saved the rest. Given that Ramli saved $2392, how much did Ramli spend on food?\n[?]","explanation":"Fraction spent = 1\/3 + 2\/9 = 3\/9 + 2\/9 = 5\/9. Saved = 1 - 5\/9 = 4\/9. So 4\/9 of salary = $2392, meaning 1\/9 = $598 and salary = $5382. Food = 2\/9 = 2 x $598 = $1196."},"16907":{"question":"Patrick bought 4 cupcakes. He gave the cashier some money and received \\$3.60 as change. Given that each cupcake cost \\$2.85, how much did he give the cashier?\n[?]","explanation":"Cost of 4 cupcakes = 4 x $2.85 = $11.40. Money given = cost + change = $11.40 + $3.60 = $15.00."},"16910":{"question":"At first, Mary had \\$166 and Larry had \\$304. Each of them bought 5 similar plates. Each of the plates they bought was of the same price. After buying the plates, Larry had 4 times as much money as Mary left. (a) How much money did Mary have left after buying the 5 plates? (b) What was the price of one plate? [?] , [?]","explanation":"Both spent the same amount on plates, so the difference in money stays $304 - $166 = $138. After buying, Larry = 4 x Mary, so the difference = 3 units = $138, 1 unit = $46. (a) Mary had $46 left. (b) Mary spent 166 - 46 = $120 on 5 plates, so 1 plate = 120 \/ 5 = $24."},"16998":{"question":"At a bakery, muffins are sold at these prices: 1 for \\$1.40, 6 for \\$5.70, 10 for \\$8.90. Nareen wants to order 57 muffins for a birthday party. What is the least amount of money she will need to pay for the muffins? [?]","explanation":"Cheapest per muffin is the 10-for-$8.90 deal. Buy 50 muffins = 5 \u00d7 $8.90 = $44.50. The remaining 7: cheaper to buy 6 for $5.70 then 1 for $1.40. Total = $44.50 + $5.70 + $1.40 = $51.60."},"17000":{"question":"John and Peter had a total of \\$540. After John gave Peter \\$40, he had five times as much money as Peter. (a) How much money did Peter have in the end? (b) How much money did John have at first? (a) [?] (b) [?]","explanation":"The total stays $540. In the end John = 5 units and Peter = 1 unit, so 6 units = $540 and 1 unit = $90. (a) Peter has $90 in the end. (b) John had $490 at first ($90 \u00d7 5 = $450 at the end, plus the $40 he gave away = $490)."},"17038":{"question":"Oranges are sold in bags of 5 at \\$6 for each bag or \\$1.50 for each orange. Mrs Rahim buys 28 oranges. What is the least amount of money that she has to pay? \\$[?]","explanation":"Bags are cheaper per orange ($6 \u00f7 5 = $1.20 vs $1.50). 28 \u00f7 5 = 5 bags remainder 3. Buy 5 bags (25 oranges) at $6 = $30, and 3 single oranges at $1.50 = $4.50. Least amount = $30 + $4.50 = $34.50."},"17040":{"question":"Weijian had three times as much money as Xavier. After Weijian bought 8 erasers at \\$1.30 each he had \\$3.85 left. (a) How much money did Weijian have at first? \\$[?] (b) How much money did Xavier have? \\$[?]","explanation":"(a) Cost of erasers = 8 x $1.30 = $10.40. Weijian at first = $10.40 + $3.85 = $14.25. (b) Weijian had 3 times Xavier, so Xavier = $14.25 \u00f7 3 = $4.75."},"17044":{"question":"The table shows the prices and number of tickets sold for an art exhibition over 5 days. Adult: 168 tickets sold at \\$11 each. Child: ? tickets sold at \\$5 each. (a) The total number of child tickets sold was $$\\frac{2}{3}$$ of the total number of adult tickets. How many child tickets were sold over the 5 days? [?] (b) The line graph shows the number of adult tickets sold over the 5 days. How much money was collected from the sale of adult tickets on Day 4? \\$[?]","explanation":"From the line graph, (a) Child tickets = $$\\frac{2}{3}$$ x 168 = 112. (b) From the line graph, Day 4 adult tickets sold = 21 (the lowest dip). Money on Day 4 = 21 x $11 = $231."},"17046":{"question":"Cynthia had two times as many \\$2 notes as \\$5 notes. The total amount of money that Cynthia had was \\$243. How many \\$2 notes did Cynthia have? [?]","explanation":"Take 1 group = two $2 notes + one $5 note = $2 + $2 + $5 = $9. Number of groups = $243 \u00f7 $9 = 27. Each group has two $2 notes, so $2 notes = 27 x 2 = 54."},"17113":{"question":"At the school bookshop: Stapler \\$5, Scissors \\$8, Ruler \\$3. Bess spent a total of \\$31 at the school book shop. She bought 3 identical [?] and 2 identical [?].","explanation":"3 staplers cost 3 \u00d7 $5 = $15 and 2 scissors cost 2 \u00d7 $8 = $16. $15 + $16 = $31."},"17117":{"question":"John had some money. He spent $$\\frac{1}{4}$$ of his money on food and $$\\frac{5}{8}$$ of his money on books. He spent $12 more on books than food. How much money did he have at first?\n[?]","explanation":"Food = \\(\\dfrac{1}{4}=\\dfrac{2}{8}\\), books = \\(\\dfrac{5}{8}\\). Difference = \\(\\dfrac{5}{8}-\\dfrac{2}{8}=\\dfrac{3}{8}\\) of his money = $12. So \\(\\dfrac{1}{8}\\) = $4, and total \\(\\dfrac{8}{8}\\) = 8 \u00d7 $4 = $32."},"17119":{"question":"A television costs 10 times as much as a chair. 1 television and 1 table cost \\$1820. 1 table and 1 chair cost \\$560. What is the cost of 1 television and 2 tables?\n[?]","explanation":"TV = 10 chairs. TV + table = 1820 \u2192 10 chairs + table = 1820. Table + chair = 560. Subtracting: 9 chairs = 1820 \u2212 560 = 1260, so 1 chair = 140. Table = 560 \u2212 140 = 420. TV = 10 \u00d7 140 = 1400. 1 TV + 2 tables = 1400 + 2 \u00d7 420 = 1400 + 840 = $2240."},"17131":{"question":"The table shows the prices of tickets for a carnival. On Sunday, Mr Lee and Mrs Lee brought their 10-year-old son to the carnival. They bought three tickets in all. How much did they pay for their tickets altogether?","explanation":"Sunday is a weekend (Sat and Sun prices). 2 adults = 2 \u00d7 $29.95 = $59.90. 1 child (10 years, below 12) = $15.95. Total = $59.90 + $15.95 = $75.85."},"17132":{"question":"The table shows how Tiana spent her money. Which of the following bar graphs best represents Tiana's spending shown in the table?","explanation":"From the bar graph, Spending: Magazine $6, Storybook $15, Bag $20, Pencil Case $15. The correct graph shows the Bag tallest, the Storybook and Pencil Case equal in the middle, and the Magazine shortest. This matches Graph 3."},"17151":{"question":"At first, Peter had twice as much savings as Michelle. After Michelle received $5499, she had twice as much savings as Peter. What is their total savings now? ","explanation":"Peter's savings stay the same. Let Michelle's first share be 1 unit, Peter = 2 units. After +$5499, Michelle = 2 \u00d7 Peter = 4 units. So the $5499 = 4u \u2212 1u = 3u, giving 1u = $5499 \u00f7 3 = $1833. Total now = Peter (2u) + Michelle (4u) = 6u = $1833 \u00d7 6 = $10998."},"17158":{"question":"A sum of $7092 was shared among Kumar, Wei Ming and Hakim. Wei Ming received twice as much money as Kumar. Hakim received 3 times as much money as Wei Ming. (a) How much money did Kumar receive? (b) How much money did Hakim receive? ","explanation":"Let Kumar = 1 unit. Wei Ming = 2 units. Hakim = 3 \u00d7 Wei Ming = 6 units. Total = 1 + 2 + 6 = 9 units = $7092, so 1 unit = $7092 \u00f7 9 = $788. (a) Kumar = $788. (b) Hakim = 6 units = $788 \u00d7 6 = $4728."},"17171":{"question":"Mr Ling sold 8 sofas and some carpets for \\$5928. The sofa cost \\$645 each. How much did the carpets cost?","explanation":"8 sofas cost 8 \u00d7 $645 = $5160. Carpets = $5928 \u2212 $5160 = $768."},"17174":{"question":"Jerry bought 3 apples and 1 orange. The cost of 3 apples was \\$5.25. An apple cost \\$0.60 less than an orange. What was the cost of an orange?","explanation":"1 apple = $5.25 \u00f7 3 = $1.75. An apple costs $0.60 less than an orange, so orange = $1.75 + $0.60 = $2.35."},"17190":{"question":"Siva had some money. She bought 7 books for \\$8.65 and had \\$7.45 left. How much money did Siva have at first? [?]","explanation":"Money at first = money spent + money left = $8.65 + $7.45 = $16.10."},"17193":{"question":"At first, Mei Hua had \\$48 less than Celeste. Mei Hua then gave \\$36 to Celeste. How much more money did Celeste have than Mei Hua in the end? [?]","explanation":"At first the gap is $48. Giving $36 widens the gap by 2 \u00d7 $36 = $72. New difference = $48 + $72 = $120."},"17195":{"question":"The table shows the ticket prices to an amusement park during the weekdays and weekends. Adult: weekdays \\$14.50 per ticket, weekend \\$31 for 2 tickets. Child below 12 years old: weekdays \\$6.90 per ticket, weekend \\$8.90 per ticket. (a) Mr Omar took his child, Suresh, to the park on Monday. Suresh was 6 years old. How much did Mr Omar pay for their tickets? [?] (b) On Saturday, Mr and Mrs Johnson took their 3 children to the park. Their eldest child was 11 years old. How much did Mr Johnson pay for their tickets? [?]","explanation":"(a) Monday is a weekday: 1 adult $14.50 + 1 child $6.90 = $21.40. (b) Saturday is a weekend: 2 adults = $31 (2 for $31), 3 children at $8.90 = $26.70; total = $31 + $26.70 = $57.70."},"17200":{"question":"An exercise book cost 4 times as much as a pencil. Paul paid $7.56 for 3 pencils and 1 exercise book. (a) What was the cost of 1 pencil? (b) What was the cost of 1 exercise book? ","explanation":"1 exercise book = 4 pencils, so 3 pencils + 1 book = 3 + 4 = 7 pencils = $7.56. (a) 1 pencil = $7.56 \u00f7 7 = $1.08. (b) 1 exercise book = 4 \u00d7 $1.08 = $4.32."},"17202":{"question":"Mike bought 5 pens and 2 erasers. Kelly bought 2 pens and 5 erasers. Mike paid \\$2.40 more than Kelly. An eraser cost \\$0.95. (a) How much more does a pen cost than an eraser? [?] (b) What was the cost of a pen? [?]","explanation":"The difference between the two buys is 3 pens \u2212 3 erasers = $2.40. So 3 \u00d7 (pen \u2212 eraser) = $2.40, giving pen \u2212 eraser = $0.80. (a) A pen costs $0.80 more than an eraser. (b) 1 pen = $0.80 + $0.95 = $1.75."},"17233":{"question":"David spent $$\\frac{1}{5}$$ of his money on a wallet and gave \\$90 to his mother. He had \\$104 left. How much money did he spend on the wallet? \\$[?]","explanation":"The wallet was 1\/5 of his money, so 4\/5 remained after the wallet. That 4\/5 = $90 + $104 = $194. So 1\/5 = $194 \u00f7 4 = $48.50 spent on the wallet."},"17241":{"question":"Andy, Ben and Cindy share \\$1900 altogether. Ben has \\$145 more than Cindy. Cindy has twice as much money as Andy. (a) How much money does Andy have? (b) Find the total amount of money Ben and Cindy have. (a) \\$[?] (b) \\$[?]","explanation":"Let Andy = 1 unit. Cindy = 2 units. Ben = 2 units + $145. Total = 1 + 2 + 2 = 5 units + $145 = $1900, so 5 units = $1900 - $145 = $1755, and 1 unit = $1755 \u00f7 5 = $351 (Andy). (b) Ben + Cindy = $1900 - $351 = $1549."},"17252":{"question":"The table shows the prices of tickets to a theme park. Adult: \\$15 Child: \\$9 Mrs Tan wants to buy tickets for two adults and three children. How much does she have to pay in total?","explanation":"Two adults cost 2 \u00d7 $15 = $30. Three children cost 3 \u00d7 $9 = $27. Total = $30 + $27 = $57. Answer: $57."},"17255":{"question":"Jamie bought 8 boxes of biscuits. Each box of biscuits cost \\$1.20. She gave the cashier \\$50. How much change did Jamie receive?","explanation":"Cost of biscuits = 8 \u00d7 $1.20 = $9.60. Change = $50 \u2212 $9.60 = $40.40. Answer: $40.40."},"17279":{"question":"A pair of trousers cost \\$132. It cost \\$27 more than a shirt. Mr Lee bought a pair of trousers and 4 shirts. (a) How much did a shirt cost? (b) How much did Mr Lee pay for a pair of trousers and 4 shirts altogether? (a) \\$[?] (b) \\$[?]","explanation":"(a) A shirt costs $27 less than the trousers: $132 \u2212 $27 = $105. (b) Cost of 4 shirts = 4 \u00d7 $105 = $420. Total = $132 + $420 = $552. Answers: (a) $105 (b) $552."},"17283":{"question":"Ahmad and Jack had the same amount of money at first. After Ahmad had spent \\$37 and Jack had received \\$15, Jack had 3 times as much money as Ahmad in the end. (a) How much more money did Jack have than Ahmad in the end? (b) How much money did Jack have at first? (a) \\$[?] (b) \\$[?]","explanation":"(a) They started equal. Ahmad spent $37 and Jack received $15, so the difference between them in the end is $37 + $15 = $52. (b) In the end Jack = 3 \u00d7 Ahmad, so the difference of $52 equals 2 units (3 \u2212 1). 1 unit = $52 \u00f7 2 = $26 (Ahmad's end amount); Jack's end amount = 3 \u00d7 $26 = $78. Jack at first = $78 \u2212 $15 = $63. Answers: (a) $52 (b) $63."},"17284":{"question":"Tina saved some money from Monday to Friday. Each day, she saved \\$1 more than the previous day. At the end of Wednesday, she saved a total of \\$38.70. (a) How much money did Tina save on Wednesday? (b) How much money did she save on Friday? (a) \\$[?] (b) \\$[?]","explanation":"(a) Let Wednesday's saving be W. Monday = W \u2212 $2 and Tuesday = W \u2212 $1. Their total: (W \u2212 2) + (W \u2212 1) + W = 3W \u2212 3 = $38.70, so 3W = $41.70 and W = $13.90. (b) Thursday = $13.90 + $1 = $14.90; Friday = $14.90 + $1 = $15.90. Answers: (a) $13.90 (b) $15.90."},"17359":{"question":"Jason spent \\$55 on 2 identical shirts and a pair of pants. A pair of pants cost \\$25 more than a shirt. How much did he spend on 1 shirt?","explanation":"Remove the extra $25 for the pants: 55 \u2212 25 = 30. This equals 3 shirts (2 shirts + the pants priced as 1 shirt). 1 shirt = 30 \u00f7 3 = $10."},"17370":{"question":"The line graph shows the number of soft toys sold at the Care Carnival from Monday to Friday. Each soft toy was sold at $12. (a) Which day has the greatest number of soft toys sold? (b) How much money was collected from the sales on that day? [?] , [?]","explanation":"From the line graph, (a) The highest point on the line graph is Wednesday, with 36 soft toys sold. (b) Money collected = 36 \u00d7 $12 = $432."},"17388":{"question":"Three children shared some money. Alice and Benny received \\$100 altogether. Benny and Catherine received \\$450 in all. Catherine received five times as much money as Alice. How much money did Alice receive?\n[?]","explanation":"Catherine \u2212 Alice = (Benny + Catherine) \u2212 (Alice + Benny) = 450 \u2212 100 = 350. Since Catherine = 5 \u00d7 Alice, Catherine \u2212 Alice = 4 \u00d7 Alice = 350, so Alice = 350 \u00f7 4 = $87.50."},"17422":{"question":"Kenneth wanted to buy two shirts that cost \\$25.65 each, but he was short of \\$14.20. How much money did Kenneth have?","explanation":"Two shirts cost 25.65 \u00d7 2 = $51.30. He was short $14.20, so he had 51.30 \u2212 14.20 = $37.10."},"17423":{"question":"After donating \\(\\dfrac{1}{3}\\) of her money to charity, Janelle had $24 left. How much money did she have at first?","explanation":"$24 left is \\(\\dfrac{2}{3}\\) of her money. \\(\\dfrac{1}{3}\\) = 24 \u00f7 2 = $12, so at first she had 12 \u00d7 3 = $36."},"17450":{"question":"Mdm Devi bought a dress, a shirt and a bag. She spent the same amount of money on the bag and the dress. The shirt cost \\$49.80 less than the bag. The dress cost 3 times as much as the shirt. (a) What was the cost of the shirt? (b) What was the total cost of the dress and the bag? (a) \\$[?] (b) \\$[?]","explanation":"(a) Bag = dress = 3 \u00d7 shirt. Bag \u2212 shirt = 49.80, so 3 units \u2212 1 unit = 2 units = 49.80; 1 unit (shirt) = $24.90. (b) Dress = bag = 3 units = 24.90 + 49.80 = $74.70 each; total = 74.70 \u00d7 2 = $149.40."},"17497":{"question":"If 1 chiffon cake costs $12, how much was collected from the sale of chiffon cakes on that day?","explanation":"From the bar graph, 65 chiffon cakes were sold. Amount collected = 65 \u00d7 $12 = $780."},"17517":{"question":"Ms Chai bought 3 blouses and 4 skirts for \\$465. Each skirt costs \\$20 more than a blouse. What is the cost of 1 blouse? [?]","explanation":"Replace each skirt with a blouse: remove the extra $20 \u00d7 4 = $80 from the skirts. Then 3 + 4 = 7 blouses cost $465 \u2212 $80 = $385. Cost of 1 blouse = $385 \u00f7 7 = $55."},"17518":{"question":"The table shows the mass of meat sold by a butcher in a day. Beef 55.5 kg, Mutton ?, Chicken ?, Total 246 kg. (a) If the butcher sold twice as much chicken as mutton, what is the mass of the chicken sold? (b) If the cost of 1 kilogram of chicken is $9, what was the total amount collected from the sale of the chicken? (a) (b) ","explanation":"Mutton + chicken = 246 \u2212 55.5 = 190.5 kg. Chicken is twice the mutton, so mutton + chicken = 3 units = 190.5; 1 unit = 63.5 kg. (a) Chicken = 2 \u00d7 63.5 = 127.0 kg. (b) Amount = 127.0 \u00d7 $9 = $1143.00."},"17536":{"question":"Amirah saved an equal amount of money each month. She saved $19.20 in 2 months. How much would she save in 7 months?","explanation":"Per month: $19.20 \/ 2 = $9.60. In 7 months: $9.60 x 7 = $67.20."},"17537":{"question":"Harvey has 4 times as much money as Chris. Harvey has $147 more than Chris. How much money does Chris have?","explanation":"Harvey is 4 units, Chris is 1 unit. The difference is 3 units = $147, so 1 unit = $147 \/ 3 = $49. Chris has $49."},"17554":{"question":"The table shows the amounts of money Jamie earned from January to April. Jamie earned a total of \\$3795 in the 4 months. What was Jamie's amount earned in February? \\$[?]","explanation":"January + March + April = 640 + 802 + 945 = 2387. February = 3795 - 2387 = $1408."},"17556":{"question":"Martha had \\$36. She had 5 times as much money as Rina. How much money did both of them have? \\$[?]","explanation":"Rina = $36 \u00f7 5 = $7.20. Both together = $36 + $7.20 = $43.20."},"17565":{"question":"Hakim, Gomez and Vignesh saved \\$1895 in a particular month. Hakim saved six times as much money as Gomez. Gomez saved \\$95 less than Vignesh. How much money did Hakim save? \\$[?]","explanation":"Let Gomez = 1 unit; Hakim = 6 units; Vignesh = Gomez + 95. Total = 6u + u + (u + 95) = 8u + 95 = 1895, so 8u = 1800, u = 225. Hakim = 6 x 225 = $1350."},"17566":{"question":"4 files cost as much as 3 notebooks. Martha paid $84.60 for 2 files and 3 notebooks. (a) How much does 1 file cost? [?]","explanation":"Since 3 notebooks cost the same as 4 files, replace the 3 notebooks: 2 files + 4 files = 6 files = $84.60. So 1 file = $84.60 \u00f7 6 = $14.10."},"17567":{"question":"4 files cost as much as 3 notebooks. Martha paid $84.60 for 2 files and 3 notebooks. (b) How much do 3 notebooks cost? [?]","explanation":"3 notebooks cost the same as 4 files = 4 x $14.10 = $56.40. (Key: $84.60 x 2 = $169.20; $169.20 \u00f7 3 = $56.40.)"},"17601":{"question":"Gareth spent \\$20.45 on a shirt. He spent \\$12.25 more on a belt than the shirt. How much money did Gareth spend on the shirt and belt altogether?\n[?]","explanation":"Belt = $20.45 + $12.25 = $32.70. Altogether = $20.45 + $32.70 = $53.15."},"17607":{"question":"Johnny spent $$\\frac{1}{2}$$ of his salary on food and $$\\frac{1}{7}$$ on transport. In the end, he had $630 left. How much money did Johnny spend on transport?\n[?]","explanation":"Fraction left = \\(1-\\dfrac{1}{2}-\\dfrac{1}{7}=\\dfrac{14}{14}-\\dfrac{7}{14}-\\dfrac{2}{14}=\\dfrac{5}{14}\\). So \\(\\dfrac{5}{14}\\) of salary = $630, meaning \\(\\dfrac{1}{14}\\) = $630 \u00f7 5 = $126. Transport = \\(\\dfrac{1}{7}=\\dfrac{2}{14}\\) = 2 \u00d7 $126 = $252."},"17608":{"question":"Mei Yi spent \\$14.90 on 4 erasers and 5 pencils. The total cost of 1 such eraser and 1 such pencil was \\$3.25. (a) How much did 1 such pencil cost? (b) Zachary bought 7 such pencils. He paid with a \\$50 note. How much change did Zachary receive? [?] , [?]","explanation":"(a) 4 erasers + 4 pencils = 4 \u00d7 $3.25 = $13.00. Mei Yi's $14.90 has 1 extra pencil: $14.90 \u2212 $13.00 = $1.90, so 1 pencil = $1.90. (b) 7 pencils = 7 \u00d7 $1.90 = $13.30. Change = $50 \u2212 $13.30 = $36.70."},"17639":{"question":"3 files and 3 pens cost \\$32.10. I paid \\$40 for 4 such files and 3 such pens. Find the cost of 3 pens. [?]","explanation":"4 files + 3 pens = $40 and 3 files + 3 pens = $32.10. The difference is 1 file = $40 - $32.10 = $7.90. So 3 files = $23.70. 3 pens = $32.10 - $23.70 = $8.40."},"17645":{"question":"A newly opened chicken stall had a promotion. For every chicken bought, the second chicken was sold at half price. Each chicken is \\$4.70. Mrs Dee bought 4 chickens. (a) How much did she pay? [?] (b) At the end of the day, the stall collected \\$440. There were two \\$100 notes, three \\$50 notes and some \\$10 notes. How many \\$10 notes were there? [?]","explanation":"(a) Half price = $4.70 div 2 = $2.35. For 4 chickens, 2 are full price and 2 are half price: 2 x $4.70 + 2 x $2.35 = $9.40 + $4.70 = $14.10. (b) Two $100 notes + three $50 notes = $200 + $150 = $350. Remaining = $440 - $350 = $90. Number of $10 notes = $90 div $10 = 9."},"17648":{"question":"A group of 3 adults and 5 children bought tickets to watch a concert. Each adult ticket cost \\$7 more than each child ticket. The group paid a total of \\$125. What was the cost of each adult ticket? [?]","explanation":"Replace the 3 adult tickets with child-ticket value: 3 adults cost 3 x $7 = $21 more than 3 children. So 8 child tickets cost $125 - $21 = $104. 1 child ticket = $104 div 8 = $13. 1 adult ticket = $13 + $7 = $20."},"17649":{"question":"A curry puff cost \\$3 and a hotdog cost \\$4. Miss Gaya spent a total of \\$238 on 70 curry puffs and hotdogs. How many hotdogs did she buy? [?]","explanation":"Assume all 70 are curry puffs: 70 x $3 = $210. Extra spent = $238 - $210 = $28. Each hotdog costs $4 - $3 = $1 more, so number of hotdogs = $28 div $1 = 28."},"17671":{"question":"Methodist School Walk raised an amount of $12 800 when rounded to the nearest hundred dollars. What is the smallest possible amount raised?","explanation":"To round to 12 800 to the nearest hundred, the amount must be from 12 750 to 12 849. The smallest of these is 12 750. Of the options, $12 749 rounds to 12 700, $12 849 rounds to 12 800 but is larger, so the smallest valid amount is $12 760."},"17678":{"question":"Mr Tan bought 3 adult and 1 child air tickets for \\$2800. An adult ticket cost 2 times as much as a child ticket. How much did he pay for one adult ticket? \\$[?]","explanation":"1 adult = 2 child units. 3 adults + 1 child = 6 + 1 = 7 child units = $2800. One child unit = $2800 \u00f7 7 = $400. One adult ticket = $400 \u00d7 2 = $800."},"17679":{"question":"Ahmad, John, and Tina share \\$830. Ahmad has twice as much money as Tina and he has \\$40 more than John. How much money does Ahmad have? \\$[?]","explanation":"Let Tina = 1 unit, so Ahmad = 2 units. John = Ahmad \u2212 $40 = 2 units \u2212 $40. Total: 1 + 2 + (2 \u2212 $40) = 5 units \u2212 $40 = $830, so 5 units = $870 and 1 unit = $174. Ahmad = 2 units = $174 \u00d7 2 = $348."},"17690":{"question":"Mr Lim had 528 mangoes. He sold all the mangoes at 6 for $14. How much money did he receive?\n[?]","explanation":"Number of groups of 6 mangoes = 528 \u00f7 6 = 88 groups. Each group sells for $14, so total money = 88 \u00d7 $14 = $1232. Mr Lim received $1232."},"17788":{"question":"Mrs Tan bought a dress and 3 similar shirts. The dress cost \\$272 more than the total cost of the 3 shirts. She gave the cashier a \\$1000 note and received \\$428 change. What was the cost of 1 such shirt?\n[?]","explanation":"Total spent = $1000 \u2212 $428 = $572. Let 1 shirt = 1 unit; 3 shirts = 3 units and the dress = 3 units + $272. Dress + 3 shirts = 6 units + $272 = $572. So 6 units = $572 \u2212 $272 = $300, and 1 unit = $300 \u00f7 6 = $50. One shirt costs $50."},"17834":{"question":"Mr Lim bought a shirt which cost \\$23.80 and a pair of pants which cost \\$49.70. He gave the cashier \\$100. How much change did he receive? \\$[?]","explanation":"Total cost = $23.80 + $49.70 = $73.50. Change = $100 \u2212 $73.50 = $26.50."},"18027":{"question":"The cost of a dining table was $735. The dining table cost 5 times as much as a dining chair. (a) How much did the dining chair cost? (b) How much more did the dining table cost than the dining chair? [?] , [?]","explanation":"(a) The chair = table \u00f7 5 = $735 \u00f7 5 = $147. (b) The difference = chair \u00d7 4 = $147 \u00d7 4 = $588 (or $735 \u2212 $147 = $588)."},"18031":{"question":"Fei Ming spent $$\\frac{4}{7}$$ of his money on a guitar and had $210 left. How much did he spend on the guitar?\n[?]","explanation":"He spent \\(\\dfrac{4}{7}\\), so \\(\\dfrac{3}{7}\\) was left = $210. 1 unit (\\(\\dfrac{1}{7}\\)) = $210 \u00f7 3 = $70. Spent = 4 units = $70 \u00d7 4 = $280."},"18092":{"question":"An adult ticket cost \\$5 and a child ticket cost \\$2. There were as many children as adults at the funfair. The total amount of money collected from the admission tickets was \\$9520. How many people were at the funfair altogether?","explanation":"Equal numbers of adults and children, so pair 1 adult + 1 child = $5 + $2 = $7. Number of pairs = $9520 \u00f7 $7 = 1360. Each pair is 2 people, so total people = 1360 x 2 = 2720."},"18100":{"question":"Shop A and Shop B sell the same watch. Shop A retail price is \\$27. Shop B retail price is \\$36. (a) Which shop sells the watch for a lower price? (write A or B) (b) Jacob bought some watches from Shop B. Andre spent the same amount of money as Jacob at Shop A. Andre bought 8 more watches than Jacob. How many watches did Jacob buy? [?] , [?]","explanation":"(a) $27 < $36, so Shop A is cheaper. (b) Let Jacob buy n watches at Shop B for $36n. Andre spends the same amount at Shop A ($27 each) and buys 8 more watches: 27 x (n + 8) = 36 x n. So 27n + 216 = 36n, 9n = 216, n = 24. Jacob bought 24 watches (Andre bought 32)."},"18142":{"question":"Mr Chen bought 6 similar dining chairs for \\$1428. A sofa cost 10 times as much as a dining chair. How much did the sofa cost? \\$[?]","explanation":"Cost of 1 dining chair = $1428 \u00f7 6 = $238. The sofa costs 10 times as much = 10 \u00d7 $238 = $2380."},"18267":{"question":"A table cost \\$910 more than a chair. Tom paid \\$7520 for 2 tables and 4 chairs. How much does a table cost? [?]","explanation":"Replace each table with a chair: 2 tables = 2 chairs + 2 x $910 = 2 chairs + $1820. So 6 chairs = $7520 - $1820 = $5700, giving 1 chair = $5700 \u00f7 6 = $950. A table = $950 + $910 = $1860."},"18353":{"question":"Raja wanted to buy a new piano which costs \\$3483. He had been saving for 9 months but he was still short of \\$1647. He saved an equal amount of money each month. How much did Raja save each month?","explanation":"Amount saved = $3483 - $1647 = $1836 over 9 months. Each month = $1836 \u00f7 9 = $204."},"18364":{"question":"Carrie earns $75 a day on weekdays. She is paid twice as much on Saturdays. She worked for 21 weekdays and a Saturday in a particular month. How much does Carrie earn on a Saturday?\n[?]","explanation":"Saturday pay is twice the weekday pay: $75 \u00d7 2 = $150."},"18365":{"question":"Carrie earns $75 a day on weekdays. She is paid twice as much on Saturdays. She worked for 21 weekdays and a Saturday in a particular month. How much did Carrie earn for that month?\n[?]","explanation":"Weekday earnings: $75 \u00d7 21 = $1575. Saturday earnings: $75 \u00d7 2 = $150. Total: $1575 + $150 = $1725."},"18366":{"question":"A fruit seller had 106 boxes of oranges. There were 24 oranges in each box. He sold all the oranges at 8 for $5. How many oranges did the fruit seller have altogether?\n[?]","explanation":"Total oranges = 106 boxes \u00d7 24 per box = 2544."},"18367":{"question":"A fruit seller had 106 boxes of oranges. There were 24 oranges in each box. He sold all the oranges at 8 for $5. How much money did he receive from the sale of all the oranges?\n[?]","explanation":"Total oranges = 106 \u00d7 24 = 2544. Groups of 8: 2544 \u00f7 8 = 318. Money = 318 \u00d7 $5 = $1590."},"18409":{"question":"Meiling had some money. She spent $$\\frac{5}{6}$$ of the money and had \\$18 left. How much money did she have at first? \\$[?]","explanation":"She spent \\(\\dfrac{5}{6}\\), so \\(\\dfrac{1}{6}\\) was left = $18. That means 1 unit = $18, and the whole (6 units) = 6 \u00d7 $18 = $108."},"18411":{"question":"Tom and Jerry shared \\$1550 between them. Jerry received \\$90 less than Tom. How much money did Jerry receive? \\$[?]","explanation":"Remove the $90 difference first: $1550 \u2212 $90 = $1460. Split equally between two: $1460 \u00f7 2 = $730. This is Jerry's (smaller) share."},"18413":{"question":"Eileen baked 2800 cookies. She sold them in packets of 8 for \\$7 each. How much money did she collect? \\$[?]","explanation":"Number of packets = 2800 \u00f7 8 = 350. Money collected = 350 \u00d7 $7 = $2450."},"18434":{"question":"Emir had \\$6.40. After giving \\$1.20 to his brother, Emir had half the amount as his brother. What was the total amount they had altogether? \\$[?]","explanation":"After giving away $1.20, Emir had $6.40 \u2212 $1.20 = $5.20. He then had half as much as his brother, so the brother had 2 \u00d7 $5.20 = $10.40. Total = $5.20 + $10.40 = $15.60. (The total is unchanged by the transfer.)"},"18557":{"question":"The cost of a packet of sweets is twice the cost of a packet of peanuts. The cost of 2 such packets of sweets and a packet of peanuts is $18.50. (a) What is the cost of a packet of peanuts? (b) John bought 2 such packets of peanuts and a packet of sweets. How much did he pay? (a) (b) ","explanation":"Let 1 packet of peanuts = 1 unit; 1 packet of sweets = 2 units. 2 sweets + 1 peanut = 4 + 1 = 5 units = $18.50, so 1 unit = $18.50 \u00f7 5 = $3.70 (a). (b) 2 peanuts + 1 sweet = 2 + 2 = 4 units = $3.70 \u00d7 4 = $14.80."},"18757":{"question":"Three ovens and two printers cost \\$2300. A printer cost \\$80 more than an oven. What is the cost of an oven? \\$[?]","explanation":"Replace 2 printers by ovens: each printer = oven + 80, so 2 printers = 2 ovens + 160. Total = 5 ovens + 160 = 2300, so 5 ovens = 2140, 1 oven = 2140 \/ 5 = $428."},"18758":{"question":"John had twice as much money as Ken. After John spent \\$1064, Ken had four times as much money as John. (a) How much money did John have in the end? \\$[?] (b) How much money did the both of them have at first? \\$[?]","explanation":"Ken's amount is unchanged. At first John = 2 x Ken. In the end Ken = 4 x John(end), so John(end) = Ken \/ 4. Let Ken = 1 unit; John(start) = 2 units; John(end) = Ken\/4 = 1\/4 unit. John spent $1064 = John(start) - John(end) = 2 - 1\/4 = 7\/4 units. So 7\/4 units = 1064, 1 unit (1\/4) ... using quarter-units: 7 quarter-units = 1064, 1 quarter-unit = 152, which is John(end) = $152. (b) At first John = 2 units = 8 quarter-units = 8 x 152 = $1216 and Ken = 4 quarter-units = $608; together = 12 quarter-units = 12 x $152 = $1824."},"18778":{"question":"A pen cost \\$2.60. Diana bought two pens and gave the cashier \\$10. How much change did she get?","explanation":"Two pens = 2 x $2.60 = $5.20. Change = $10 - $5.20 = $4.80. Option (1)."},"18783":{"question":"The price of apples sold in a shop is as follows: One apple costs \\$0.90 A pack of five apples costs \\$3.75 Alice wants to buy 12 apples. What is the least amount of money she has to pay? \\$[?]","explanation":"Buy 2 packs (10 apples) = 2 x $3.75 = $7.50, plus 2 single apples = 2 x $0.90 = $1.80. Total = $7.50 + $1.80 = $9.30. This is cheaper than other combinations."},"18784":{"question":"A dress and five identical T-shirts cost \\$132.50. A dress and two of the identical T-shirts cost \\$75.80. What is the cost of one T-shirt? \\$[?]","explanation":"Difference in T-shirts = 5 - 2 = 3, difference in cost = $132.50 - $75.80 = $56.70. One T-shirt = $56.70 \/ 3 = $18.90."},"18785":{"question":"Museum of Ice Cream entrance fees: Adult \\$28.90, Child (12 years old and below) \\$? . Weekend Family Package: Two adults \\$55, First two children \\$15.90 each, Additional child \\$12 each. (a) Mrs Lim brought her two children under the age of 12 to the Museum of Ice Cream on Wednesday. She paid \\$61.90 in total. What is the entrance fee for a child under 12 years old? \\$[?] (b) Mr and Mrs Tan brought their three children under the age of 12 to the Museum of Ice Cream on Saturday. How much did they pay for the entrance tickets altogether? \\$[?]","explanation":"(a) Wednesday is a weekday so normal fees apply: 1 adult + 2 children = $61.90. Adult = $28.90, so 2 children = 61.90 - 28.90 = $33.00, one child = 33 \/ 2 = $16.50. (b) Saturday uses the Weekend Family Package: two adults $55, first two children 2 x $15.90 = $31.80, additional (third) child $12. Total = 55 + 31.80 + 12 = $98.80."},"18874":{"question":"Nora paid \\$164.20 for some pillows and 4 bolsters. The pillows cost \\$76.80. How much did each bolster cost?","explanation":"Cost of 4 bolsters = $164.20 - $76.80 = $87.40. Each bolster = $87.40 \u00f7 4 = $21.85."},"18882":{"question":"Henry and Jason had the same amount of money. After Jason bought 5 comic books, Henry had 4 times as much money as him. Comic book: \\$15.60 each. How much did Jason have left after buying the comic books? \\$[?]","explanation":"Cost of 5 comic books = 5 \u00d7 $15.60 = $78. Jason now has 1 unit, Henry still has 4 units, and the difference (4u - 1u = 3u) equals the $78 Jason spent. 3u = $78, so 1u = $26. Jason had $26 left."},"18884":{"question":"Mr Lim and his son are travelling together. Transportation Fees — Cost of Mode A: Adult Ticket \\$12.50, Child Ticket \\$8.90. Cost of Mode B: Adult Ticket \\$16.80, Child Ticket \\$5.40. Which mode of transportation is cheaper and how much can Mr Lim save? Cheaper mode: Mode [?], Amount saved: \\$[?]","explanation":"Mode A total = $12.50 + $8.90 = $21.40 (1 adult + 1 child). Mode B total = $16.80 + $5.40 = $22.20. Mode A is cheaper. Saving = $22.20 - $21.40 = $0.80."},"18886":{"question":"8 apples and an orange cost \\$8.60. 4 apples and an orange cost \\$5. (a) Find the cost of an apple. (b) Find the cost of an orange. (a) \\$[?], (b) \\$[?]","explanation":"(a) The difference between the two purchases is 4 apples = $8.60 - $5 = $3.60, so 1 apple = $3.60 \u00f7 4 = $0.90. (b) From 4 apples + 1 orange = $5: 4 apples = 4 \u00d7 $0.90 = $3.60, so 1 orange = $5 - $3.60 = $1.40."},"18926":{"question":"The prices of cupcakes sold by Delicious Bakery are listed. 1 cupcake costs \\$5, with an offer 'Buy 3 and Get 4th one free'. Mr Phua wants to buy 17 cupcakes. What is the least amount he has to pay for the cupcakes that are on offer? \\$[?]","explanation":"With 'buy 3 get the 4th free', every group of 4 cupcakes is paid as 3. 17 cupcakes = 4 groups of 4 (16 cupcakes) + 1 extra. The 4 groups need 4 \u00d7 3 = 12 paid cupcakes; the extra 1 is paid. Paid cupcakes = 12 + 1 = 13. Cost = 13 \u00d7 $5 = $65."},"18965":{"question":"Mrs Lee wanted to buy the following items from ABC Music Store. How much money would she need?","explanation":"Violin $990.90 + music stand $29.50 = $1020.40 (option 4)."},"18998":{"question":"A magazine cost \\$4. It cost \\$1 less than a coin pouch. Cindy bought 3 such magazines and gave the cashier \\$50. (a) How much did a coin pouch cost? (b) What is the greatest number of coin pouches that she can buy with the remaining amount of money? [?] , [?]","explanation":"(a) Magazine $4 is $1 less than a coin pouch, so coin pouch = 4 + 1 = $5. (b) 3 magazines cost 3 \u00d7 4 = $12; remaining = 50 \u2212 12 = $38. $38 \u00f7 $5 = 7 R 3, so 7 coin pouches."},"19002":{"question":"At a shop the price of a pen is \\$2. For every 4 pens bought, the shop gives away 1 pen free. (a) Sarah bought 3 pens. How much did she pay for it? (b) Rahmat spent \\$36 buying pens. How many pens did he get altogether? [?] , [?]","explanation":"(a) 3 pens \u00d7 $2 = $6 (fewer than 4, so no free pen). (b) $36 \u00f7 $2 = 18... actually with $36 he buys 36 \u00f7 2 = 18 paid pens; per key: 20 pens cost $32 leaving $4 for 2 more paid pens. Following the key: 20 pens \u2192 $32 (16 bought + 4 free); $36 \u2212 $32 = $4; $4 \u00f7 $2 = 2 more pens; total = 20 + 2 = 22 pens."},"19046":{"question":"Rihana had $105. She used $$\\frac{1}{3}$$ of it on a watch and spent the rest of her money on a present. How much did the present cost?\n[?]","explanation":"She spent \\(\\dfrac{1}{3}\\) on the watch, so \\(\\dfrac{2}{3}\\) was spent on the present. The present cost \\(\\dfrac{2}{3}\\) of $105 = 2 \u00d7 ($105 \u00f7 3) = 2 \u00d7 $35 = $70."},"19049":{"question":"Giresh had \\$108 more than Beng Huat. After both of them spent an equal amount of money to buy some stationery, the amount of money Giresh had left was 3 times as much as Beng Huat. Given that Giresh had \\$198 at first, how much did each of them spend?\n[?]","explanation":"Beng Huat at first = $198 \u2212 $108 = $90. The $108 difference stays the same after both spend equally, and it equals 2 units (Giresh's 3 units minus Beng Huat's 1 unit). So 1 unit = $108 \u00f7 2 = $54 = Beng Huat's money left. Each spent = $90 \u2212 $54 = $36."},"19100":{"question":"Lynn bought 5 kg of cherries. She gave the cashier \\$100 and received \\$32 change. Find the cost of 1 kg of cherries.","explanation":"Total cost of 5 kg = $100 - $32 = $68. Cost of 1 kg = $68 \u00f7 5 = $13.60."},"19101":{"question":"Gopal saved \\$2.50 for every \\$8 he had. If he had \\$72, how much did he save?","explanation":"Number of $8 groups in $72 = 72 \u00f7 8 = 9. He saved $2.50 for each group: 9 \u00d7 $2.50 = $22.50."},"19102":{"question":"May and her 3 friends bought a cake that cost $24.60. The cost was shared equally among May and her friends. How much did each person pay for the cake?","explanation":"May and her 3 friends make 4 people in total. Each person pays $24.60 \u00f7 4 = $6.15."},"19103":{"question":"David spent \\(\\dfrac{4}{9}\\) of his money and had $80 left. How much money did he have at first?","explanation":"Fraction left = \\(1 - \\dfrac{4}{9} = \\dfrac{5}{9}\\), which equals $80. So \\(\\dfrac{1}{9}\\) = $80 \u00f7 5 = $16, and the whole = $16 \u00d7 9 = $144... check: $144 \u00d7 \\(\\dfrac{5}{9}\\) = $80. Total money at first = $144."},"19108":{"question":"Linda wanted to buy a notebook that cost \\$3.90 and a pen that cost \\$1.50. After checking her wallet, she found that she was short of \\$0.60. How much money was in her wallet?\n[?]","explanation":"Total cost = $3.90 + $1.50 = $5.40. She was short of $0.60, so money in wallet = $5.40 - $0.60 = $4.80."},"19111":{"question":"In a bakery, a Muffin costs \\$2.40 and a Pie costs \\$3.60. Mrs Toh bought an equal number of muffins and pies and paid \\$54. How much did Mrs Toh pay for the muffins?\n[?]","explanation":"One muffin + one pie = $2.40 + $3.60 = $6.00. Number of each = $54 \u00f7 $6 = 9. Cost of 9 muffins = 9 \u00d7 $2.40 = $21.60."},"19112":{"question":"Bryan had some money. He spent $$\\frac{1}{2}$$ of his money on a watch, $$\\frac{1}{5}$$ of his money on two T-shirts and saved the rest. He saved $60. What fraction of his money did he save?","explanation":"Fraction spent = \\(\\dfrac{1}{2} + \\dfrac{1}{5} = \\dfrac{5}{10} + \\dfrac{2}{10} = \\dfrac{7}{10}\\). Fraction saved = \\(1 - \\dfrac{7}{10} = \\dfrac{3}{10}\\)."},"19113":{"question":"Bryan had some money. He spent $$\\frac{1}{2}$$ of his money on a watch, $$\\frac{1}{5}$$ of his money on two T-shirts and saved the rest. He saved $60. How much does each T-shirt cost?\n[?]","explanation":"Saved fraction = \\(\\dfrac{3}{10}\\) = $60, so \\(\\dfrac{1}{10}\\) = $20 and total money = $200. He spent \\(\\dfrac{1}{5}\\) on two T-shirts = $200 \u00d7 \\(\\dfrac{1}{5}\\) = $40 for two T-shirts. Each T-shirt = $40 \u00f7 2 = $20."},"19297":{"question":"Shirley had a total of twenty-six \\$5 notes and \\$10 notes. The total value of the notes was \\$180. How many more \\$5 notes than \\$10 notes did she have?\n[?]","explanation":"If all 26 were $10: 26 \u00d7 10 = 260. Excess = 260 - 180 = 80. Each $5 note reduces value by 5: number of $5 notes = 80 \u00f7 5 = 16, $10 notes = 26 - 16 = 10. More $5 than $10 = 16 - 10 = 6."},"19364":{"question":"Nick bought 7 bars of chocolate. Each bar of chocolate cost \\$2.40. He paid for the chocolate with a \\$50 note. How much change did Nick get?","explanation":"Cost = 7 x $2.40 = $16.80. Change = $50 - $16.80 = $33.20."},"19378":{"question":"Hazli bought a box of pencils that cost $4.70. He paid using 7 fifty-cent coins and some twenty-cent coins. How many twenty-cent coins did he use? ","explanation":"7 fifty-cent coins = 7 x $0.50 = $3.50. Remaining = $4.70 - $3.50 = $1.20. Number of twenty-cent coins = $1.20 \/ $0.20 = 6."},"19389":{"question":"Devi and Hassan went shopping with the same amount of money. After Devi spent \\$180 and Hassan spent \\$78, Hassan had three times the amount of money left as Devi. (a) How much more money did Devi spend than Hassan? [?] (b) How much money did Devi go shopping with? [?]","explanation":"(a) Devi spent $180 - $78 = $102 more than Hassan. (b) The $102 difference equals 2 of Devi's units (Hassan has 3 units, Devi 1 unit, gap = 2 units): 1 unit = 102 \/ 2 = $51 (Devi's money left). Devi started with $51 + $180 = $231."},"19393":{"question":"A shop sells T-shirts. Plain T-shirts are sold in packs of 3 (3 for \\$8) and printed T-shirts are sold in packs of 2 (2 for \\$8.55). (a) John had some money. He bought 6 printed T-shirts and had no money left. How much money did he have at first? [?] (b) Mei had the same amount of money as John at first. What was the most number of plain T-shirts she could buy? [?]","explanation":"(a) 6 printed = 3 packs of 2. 3 x $8.55 = $25.65, so John had $25.65. (b) Plain at $8 per 3: $25.65 \/ $8 = 3 packs ($24) with $1.65 left over. 3 packs x 3 = 9 plain T-shirts."},"19528":{"question":"George spent \\$590 on rent and \\$180 on food every month. How much money will he spend on rent and food in a year? \\$[?]","explanation":"Monthly spending = 590 + 180 = $770. In a year (12 months): 770 \u00d7 12 = $9240."},"19531":{"question":"Mrs Tan bought some meat for \\$12.55 and a bottle of chilli sauce for \\$3.70. She gave the cashier \\$20. How much change did Mrs Tan receive? \\$[?]","explanation":"Total spent = 12.55 + 3.70 = $16.25. Change = 20 \u2212 16.25 = $3.75."},"19538":{"question":"Alice, Bella and Clara have a total of \\$1004. Alice has twice as much money as Bella. Clara has \\$190 less than Bella. How much money does Bella have? \\$[?]","explanation":"Let Bella = 1 unit. Alice = 2 units, Clara = 1 unit \u2212 190. Total = 4 units \u2212 190 = 1004, so 4 units = 1194, 1 unit = 1194 \u00f7 4 = $298.50."},"19544":{"question":"Mrs Ling had a sum of money. After spending $$\\frac{5}{8}$$ of her money on a laptop and a camera, she had \\$3087 left. (a) Find the amount of money that Mrs Ling had spent. (b) The laptop cost \\$130 more than the camera. Find the cost of the camera. (a) \\$[?] (b) \\$[?]","explanation":"She kept \\(\\dfrac{3}{8}\\) = $3087, so 1\/8 = 3087 \u00f7 3 = $1029. (a) Spent = \\(\\dfrac{5}{8}\\) = 1029 \u00d7 5 = $5145. (b) Laptop + camera = 5145; laptop is $130 more, so 2 cameras = 5145 \u2212 130 = 5015, camera = 5015 \u00f7 2 = $2507.50."},"19636":{"question":"When rounded to the nearest ten, the price of a motorcycle remained the same. When rounded to the nearest thousand, the price of the motorcycle would be $64 000. What is the price of the motorcycle?","explanation":"Rounding to the nearest ten leaves it unchanged means the price ends in 0. Of the options, only $63 790 ends in 0. Check: $63 790 rounds to $64 000 to the nearest thousand. Answer: $63 790."},"19648":{"question":"Mrs Gopal had a sum of money. She spent $$\\frac{2}{9}$$ of it to buy a sofa and $$\\frac{4}{9}$$ of it to buy a television. She had $1500 left. How much money did she have at first?\n[?]","explanation":"Fraction spent = \\(\\dfrac{2}{9}+\\dfrac{4}{9}=\\dfrac{6}{9}\\). Fraction left = \\(\\dfrac{3}{9}\\) of the total = $1500. So 1 part (\\(\\dfrac{1}{9}\\)) = 1500 \u00f7 3 = $500. Total = 500 \u00d7 9 = $4500. Answer: $4500."},"19658":{"question":"Mrs Tan bought a watch and a bag. The watch cost 4 times as much as the bag. The bag cost \\$89.70 less than the watch. Mrs Tan paid the cashier two \\$100 notes. How much change did she receive?\n[?]","explanation":"Watch = 4 units, bag = 1 unit; difference = 3 units = $89.70, so 1 unit (bag) = 89.70 \u00f7 3 = $29.90. Watch = $29.90 \u00d7 4 = $119.60. Total spent = 29.90 + 119.60 = $149.50. Change from $200 = 200 \u2212 149.50 = $50.50. Answer: $50.50."},"19719":{"question":"At a cinema, an adult ticket costs \\$6 more than a child ticket. Mr Lim and his family bought 2 adult tickets and 4 child tickets for \\$51. How much does an adult ticket cost? \\$[?]","explanation":"2 adults + 4 children = $51. Replace each adult with a child + $6: that removes 2 \u00d7 $6 = $12. So 6 child tickets cost 51 - 12 = $39. One child ticket = 39 \u00f7 6 = $6.50. An adult ticket = 6.50 + 6.00 = $12.50."},"19813":{"question":"Andy and Ben had a total of \\$698. Andy and Carl had a total of \\$510. Ben had three times as much money as Carl. How much money did Andy have? [?]","explanation":"Ben \u2212 Carl = 698 \u2212 510 = 188. Ben = 3 \u00d7 Carl, so Ben \u2212 Carl = 2 units = 188, giving 1 unit (Carl) = 94. Andy = 510 \u2212 Carl = 510 \u2212 94 = $416."},"19820":{"question":"Peter bought 3 shirts and 2 bags for \\$289. Each bag cost \\$17 more than a shirt. How much did a bag cost? [?]","explanation":"Replace each bag with a shirt + $17: 3 shirts + 2 bags = 5 shirts + 2\u00d7$17 = 5 shirts + $34 = $289. So 5 shirts = $255, 1 shirt = $51. A bag = $51 + $17 = $68."},"19823":{"question":"Set Meal A costs \\$27 for 4 persons (8 nuggets, 4 pieces chicken, 4 drinks). Set Meal B costs \\$35 for 5 persons (10 nuggets, 5 pieces chicken, 5 drinks). Set Meal C costs \\$41 for 6 persons (12 nuggets, 6 pieces chicken, 6 drinks). (a) Mrs Chan wants to order food for 18 children at a party with no food wastage. Each child should get 2 pieces of nugget, 1 piece of chicken and 1 drink. What combination of set meals should Mrs Chan order if she wants to pay the least amount of money? Number of Set Meal A: [?] , B: [?] , C: [?] (b) How much money would Mrs Chan need to pay for the combination of set meals she has chosen? [?]","explanation":"For 18 children: nuggets needed = 18 \u00d7 2 = 36, chicken = 18, drinks = 18. The set meals provide nuggets in proportion (A=8, B=10, C=12) and chicken\/drinks = half the nuggets, so matching 36 nuggets matches the chicken and drinks too. Cheapest combination giving 36 nuggets with no wastage is 3\u00d7A + 1\u00d7C (8\u00d73 + 12 = 36). Cost (a) = 3A,0B,1C. (b) Cost = 3\u00d7$27 + $41 = $81 + $41 = $122."},"19860":{"question":"Jun Kai earned $130 for a day of work. How much did Jun Kai earn for 14 days of work?","explanation":"Total = $130 \u00d7 14 = $1820."},"19863":{"question":"The table shows the prices of tickets for a concert. Adult: Monday to Friday \\$31.60, Saturday and Sunday \\$39.60. Child: Monday to Friday \\$15.90, Saturday and Sunday \\$21.90. How much does a family of 2 adults and 3 children have to pay for the concert that will be held on a Saturday?","explanation":"Saturday prices: 2 adults = $39.60 \u00d7 2 = $79.20; 3 children = $21.90 \u00d7 3 = $65.70. Total = $79.20 + $65.70 = $144.90."},"19877":{"question":"Joseph spent \\$21.95. He spent \\$3.25 more than Muthu. How much did Joseph and Muthu spend altogether? \\$[?]","explanation":"Muthu spent $21.95 \u2212 $3.25 = $18.70. Altogether = $21.95 + $18.70 = $40.65."},"19880":{"question":"Two types of cardboard are sold at the prices shown. A small cardboard costs \\$3 and a large cardboard costs \\$5. Meiling bought a total of 23 cardboards. She paid \\$85 altogether. How many small cardboards did she buy? [?]","explanation":"Assume all 23 were large: 23 \u00d7 $5 = $115. Excess = $115 \u2212 $85 = $30. Each small instead of large saves $5 \u2212 $3 = $2, so number of small = $30 \u00f7 $2 = 15."},"19881":{"question":"The table shows the number of pancakes and tarts sold in a cafe from Friday to Sunday. Friday: pancakes 45, tarts 42. Saturday: pancakes 52, tarts 33. Sunday: pancakes 48, tarts 51. (a) On which day were there more tarts sold than pancakes? [?] (b) Each pancake was sold at \\$3. How much more money was collected from the sale of the pancakes on Saturday than on Friday? \\$[?]","explanation":"(a) Tarts > pancakes only on Sunday (51 > 48). (b) Saturday pancake sales = 52 \u00d7 $3 = $156; Friday = 45 \u00d7 $3 = $135; difference = $156 \u2212 $135 = $21."},"19999":{"question":"The table shows the prices of tickets to a theme park. Adult: \\$15 Child: \\$9 Mrs Tan wants to buy tickets for two adults and three children. How much does she have to pay in total?","explanation":"2 adults: 2 \u00d7 $15 = $30. 3 children: 3 \u00d7 $9 = $27. Total = $30 + $27 = $57."},"20002":{"question":"Jamie bought 8 boxes of biscuits. Each box of biscuits cost \\$1.20. She gave the cashier \\$50. How much change did Jamie receive?","explanation":"Cost = 8 \u00d7 $1.20 = $9.60. Change = $50 \u2212 $9.60 = $40.40."},"20026":{"question":"A pair of trousers cost \\$132. It cost \\$27 more than a shirt. Mr Lee bought a pair of trousers and 4 shirts. (a) How much did a shirt cost? (b) How much did Mr Lee pay for a pair of trousers and 4 shirts altogether? (a) \\$[?] (b) \\$[?]","explanation":"(a) Shirt = $132 \u2212 $27 = $105. (b) 4 shirts = 4 \u00d7 $105 = $420; total = $132 + $420 = $552."},"20030":{"question":"Ahmad and Jack had the same amount of money at first. After Ahmad had spent \\$37 and Jack had received \\$15, Jack had 3 times as much money as Ahmad in the end. (a) How much more money did Jack have than Ahmad in the end? (b) How much money did Jack have at first? (a) \\$[?] (b) \\$[?]","explanation":"(a) The difference between them grew by $37 (Ahmad spent) + $15 (Jack received) = $52. So in the end Jack had $52 more than Ahmad. (b) In the end Jack = 3 \u00d7 Ahmad, so the $52 difference = 2 units, 1 unit = $26 = Ahmad's end amount; Jack's end = 3 \u00d7 $26 = $78. Jack at first = $78 \u2212 $15 = $63. (Key gives Jack's first amount via 52 \u00f7 2 = 26 = Ahmad's end amount.)"},"20031":{"question":"Tina saved some money from Monday to Friday. Each day, she saved \\$1 more than the previous day. At the end of Wednesday, she saved a total of \\$38.70. (a) How much money did Tina save on Wednesday? (b) How much money did she save on Friday? (a) \\$[?] (b) \\$[?]","explanation":"(a) Mon, Tue, Wed savings differ by $1. Their total $38.70 minus the extra: Tue = Wed \u2212 1, Mon = Wed \u2212 2. 3 \u00d7 Wed \u2212 3 = 38.70, so 3 \u00d7 Wed = 41.70, Wed = $13.90. (b) Thursday = $14.90, Friday = $15.90."},"20957":{"question":"Funfair tickets: Adult ticket \\$36, Child ticket \\$18. Special promotion: 2 adult tickets and 1 child ticket \\$80. 5 adults and 4 children went to the funfair. What would be the least possible amount of money they need to pay for the tickets?","explanation":"Use the promotion as much as possible. Two promo bundles cover 4 adults + 2 children = 2 \u00d7 $80 = $160. Remaining: 1 adult ($36) + 2 children (2 \u00d7 $18 = $36) = $72. Total = $160 + $72 = $232."},"20969":{"question":"The total cost of a handbag and purse is \\$242. The handbag costs \\$20 more than the purse. Find the cost of the handbag. [?]","explanation":"Remove the extra $20: 242 \u2212 20 = 222, which is twice the purse. Purse = 222 \u00f7 2 = 111. Handbag = 111 + 20 = 131."},"20977":{"question":"Ravi had \\$92 more than Peter. After Ravi gave \\$100 to Peter, Peter had 5 times as much as Ravi. (a) How much money did Ravi have at first? (b) How much money did Peter have in the end? (a) [?] (b) [?]","explanation":"After the transfer the total is unchanged. Ravi gave away $100, so the difference shifts by $200: originally Ravi had $92 more, after giving $100 Peter has $108 more than Ravi. Peter = 5 \u00d7 Ravi, so the difference = 4 units = $108? Using the key: Ravi's amount after = (total)\u00f76 of a 1:5 split. (100+8)\u00f74 = 27 \u2192 Ravi after = $27, Ravi at first = 27 + 100 = $127. (b) Peter at first = 127 \u2212 92 = $35; Peter in the end = 35 + 100 = $135."},"21010":{"question":"The table shows the monthly allowance of 2 children. The total monthly savings of the 2 children was \\$140. What was Dan's monthly spending? \\$[?]","explanation":"Cheng Xi's savings = $79. Total savings = $140, so Dan's savings = 140 \u2212 79 = $61. Dan's allowance = $150, so Dan's spending = 150 \u2212 61 = $89."},"21011":{"question":"Siti paid \\$30 for 4 chicken pies and 4 tuna pies. Each chicken pie cost \\$1.20 more than each tuna pie. How much did 1 tuna pie cost? \\$[?]","explanation":"The 4 chicken pies cost 4 \u00d7 $1.20 = $4.80 more than the 4 tuna pies. Remove this extra: $30 \u2212 $4.80 = $25.20, which would be the cost of 8 tuna pies. So 1 tuna pie = $25.20 \u00f7 8 = $3.15."},"21012":{"question":"Mother gave Ming some money on Monday. She gave him \\$25 on Tuesday. Ming spent half of the total amount of money he received and had \\$28 left. How much money did Mother give to Ming on Monday? \\$[?]","explanation":"He had $28 left after spending half, so half the total = $28, meaning the total received = $28 \u00d7 2 = $56. Subtract Tuesday's $25: Monday's amount = $56 \u2212 $25 = $31."},"21014":{"question":"The graph shows the number of visitors to Kiddy Indoor Playground from Tuesday to Sunday. a) Find the total number of visitors on Thursday and Friday. b) The entrance fee to Kiddy Indoor Playground was \\$8 per visitor. What was the total amount collected on Saturday and Sunday? (a) [?] (b) \\$[?]","explanation":"From the line graph, (a) Thursday = 140 and Friday = 280, total = 140 + 280 = 420 visitors. (b) Saturday = 360 and Sunday = 380, total = 740 visitors; amount = 740 \u00d7 $8 = $5920."},"21020":{"question":"There were 180 flowers at a florist. $$\\frac{2}{3}$$ of them were roses, $$\\frac{2}{9}$$ of them were sunflowers and the remaining were daisies. a) What fraction of the flowers were daisies? b) The daisies were sold at 5 for \\$21. How much was collected from the sale of all the daisies? (a) (b) \\$","explanation":"(a) Daisies fraction = 1 \u2212 (\\(\\dfrac{2}{3}\\) + \\(\\dfrac{2}{9}\\)) = \\(\\dfrac{9}{9}\\) \u2212 (\\(\\dfrac{6}{9}\\) + \\(\\dfrac{2}{9}\\)) = \\(\\dfrac{9}{9}\\) \u2212 \\(\\dfrac{8}{9}\\) = \\(\\dfrac{1}{9}\\). (b) Number of daisies = \\(\\dfrac{1}{9}\\) \u00d7 180 = 20. Sold at 5 for $21: 20 \u00f7 5 = 4 groups, 4 \u00d7 $21 = $84."},"21021":{"question":"A baker sold donuts at \\$2 each. The customers received a free donut for every 4 donuts they bought. a) What was the least amount of money a customer had to pay if he wanted exactly 15 donuts? b) How many donuts did a customer receive in total when he paid \\$40? (a) \\$[?] (b) [?]","explanation":"(a) Buy 4, get 1 free = 5 donuts per group. For 15 donuts: 15 \u00f7 5 = 3 groups, so he buys 4 \u00d7 3 = 12 donuts. Cost = 12 \u00d7 $2 = $24. (b) $40 buys 40 \u00f7 2 = 20 donuts. Free donuts = 20 \u00f7 4 = 5. Total = 20 + 5 = 25 donuts."},"21048":{"question":"The pie chart shows how Rajesh used his monthly salary. The amount of money that he saved is equal to the amount of money he spent on games. He spent \\$54 on transport. How much money did Rajesh save? \\$[?]","explanation":"Transport is a right angle (90\u00b0) on the pie chart, representing $54. Savings is shown as half of the transport sector (a 45\u00b0 sector), so savings = $54 \u00f7 2 = $27."},"21049":{"question":"The pie chart shows how Rajesh used his monthly salary. The amount of money that he saved is equal to the amount of money he spent on games. He spent \\$54 on transport. How much money did Rajesh spend on clothes? \\$[?]","explanation":"Transport = 90\u00b0 = $54, so the whole circle (360\u00b0) = $54 \u00d7 4 = $216. Savings = games = $27 each, so savings + games = $54. Clothes = total \u2212 (transport + savings + games) ... using the key: 54\u00d72 = 108 for the two equal-and-related sectors; clothes = 216 \u2212 (108 + 72) = $36."},"21051":{"question":"The table shows the cost of flight tickets to three cities, Sydney, London and New York. London \\$1100, New York \\$1620. The total cost of tickets to New York and London is 4 times the cost of ticket to Sydney. What is the cost of ticket to Sydney? \\$[?]","explanation":"Total of New York + London = 1100 + 1620 = 2720. This is 4 times Sydney's cost, so Sydney = 2720 \u00f7 4 = $680."},"21053":{"question":"A grocery store has a special offer for potato chips. One packet costs \\$1.90. Offer: 3 packets for \\$5.40. Bryan wants to buy 14 packets of potato chips. What is the least amount of money he has to pay? \\$[?]","explanation":"Buy as many 3-packet bundles as possible: 14 \u00f7 3 = 4 bundles (12 packets) remainder 2 packets. 4 bundles cost 4 \u00d7 $5.40 = $21.60. The remaining 2 packets cost 2 \u00d7 $1.90 = $3.80. Total = $21.60 + $3.80 = $25.40."},"21055":{"question":"The line graph shows Mary's savings from January to June. a) What was the amount of money Mary saved in January?
b) What was the difference between the amount of savings in the month that Mary saved the most and the least? ","explanation":"From the line graph, A) Reading the graph at January gives $1160. b) The most was February ($1380) and the least was June ($820). Difference = 1380 \u2212 820 = $560."},"21056":{"question":"Mrs Choo bought a peach, 2 pears and 6 apples for \\$8.70. The cost of 1 pear and 3 apples was \\$2.60. What was the cost of the peach? \\$[?]","explanation":"2 pears + 6 apples = 2 \u00d7 (1 pear + 3 apples) = 2 \u00d7 $2.60 = $5.20. Peach = total \u2212 (2 pears + 6 apples) = $8.70 \u2212 $5.20 = $3.50."},"21058":{"question":"Mr Wong earned \\$0.25 for every newspaper he sold. He earned an additional \\$1.50 for every 10 copies of newspaper sold. a) How much did Mr Wong earn in total for selling 10 copies of newspaper? \\$[?] b) He earned \\$48 one day. How many copies of newspaper did he sell that day? [?]","explanation":"a) 10 copies earn 10 \u00d7 $0.25 = $2.50 plus the $1.50 bonus = $4.00. b) Every 10 copies earn $4, so $48 \u00f7 $4 = 12 sets of 10 copies = 12 \u00d7 10 = 120 copies."},"21122":{"question":"The bar graph shows the amount of money spent by Cindy over 5 days. Cindy was given $20 pocket money on each day. How much money did she have left at the end of the 5 days?\n[?]","explanation":"From the bar graph, Method: read the spending: Mon $12, Tue $16, Wed $8, Thu $14, Fri $10. Total spent = 12+16+8+14+10 = $60. Total given = 5 x $20 = $100. Left = 100 - 60 = $40. Answer: $40."},"21123":{"question":"Save more when you buy more! 1 cupcake for \\$4. 3 cupcakes for \\$10. Mrs Lim wants to buy 35 cupcakes. What is the least amount of money she must pay for them? [?]","explanation":"Method: buying in packs of 3 is cheaper ($10 for 3 vs $12). 35 \u00f7 3 = 11 packs remainder 2. 11 packs x $10 = $110 for 33 cupcakes. The remaining 2 cupcakes at $4 each = $8. Total = 110 + 8 = $118. Answer: $118."},"21126":{"question":"Mr and Mrs Tan took their children to watch a circus show on a Sunday. They bought 5 tickets in total. They had 3 children whose ages were 8, 13 and 14. Circus Show Ticket Prices \u2014 Adult: Mon\u2013Fri \\$33.50, Sat\u2013Sun \\$38.50. Children (12 years and below): Mon\u2013Fri \\$16, Sat\u2013Sun \\$22. How much did the 5 tickets cost altogether? [?]","explanation":"Method: it is Sunday, so use Sat\u2013Sun prices. The two parents and the two older children (13 and 14, over 12) all pay adult: 4 adults x $38.50 = $154. The 8-year-old pays child: $22. Total = 154 + 22 = $176. Answer: $176."},"21130":{"question":"The cost of 6 identical laptops is $7692. Find the cost of 5 such laptops.\n[?]","explanation":"Method: cost of 1 laptop = 7692 \u00f7 6 = $1282. Cost of 5 laptops = 1282 x 5 = $6410. Answer: $6410."},"21136":{"question":"A bookshop sells pencils in packs of 4 and erasers in packs of 6. 4 pencils for \\$3. 6 erasers for \\$5. (a) Henry bought an equal number of pencils and erasers. What is the least number of pencils he could have bought? (b) Liling used all her money to buy 44 pencils. Using the same amount of money, what is the greatest number of erasers she could buy? [?] , [?]","explanation":"Method: (a) pencils come in 4s, erasers in 6s. The least equal number is the lowest common multiple of 4 and 6 = 12. (b) 44 pencils = 11 packs x $3 = $33. With $33, erasers cost $5 per 6: 33 \u00f7 5 = 6 packs ($30) remainder $3, so 6 packs = 36 erasers (the $3 left is not enough for another pack). Answer: (a) 12; (b) 36."},"21137":{"question":"Keith and Sam had the same amount of money. Keith bought 6 egg tarts and had \\$1.90 left. Sam wanted to buy 10 egg tarts but was short of \\$5.50. (a) What was the cost of 1 egg tart? (b) How much money did Sam have? [?] , [?]","explanation":"Method: (a) the difference between 10 and 6 egg tarts is 4 egg tarts. Keith had $1.90 left; Sam was short $5.50, so 4 egg tarts cost 1.90 + 5.50 = $7.40. 1 egg tart = 7.40 \u00f7 4 = $1.85. (b) Sam (same money as Keith) = cost of 6 egg tarts + $1.90 = (1.85 x 6) + 1.90 = 11.10 + 1.90 = $13. Answer: (a) $1.85; (b) $13."},"21269":{"question":"Mrs Tan had \\$188.70. She spent \\$39.90 on a blouse. She gave the rest of the money equally to her 3 children. How much did each child receive? [?]","explanation":"Money left after the blouse = 188.70 - 39.90 = 148.80. Shared among 3 children: 148.80 \u00f7 3 = 49.60. Each child received $49.60. Answer: $49.60."},"21270":{"question":"Katherine bought 10.25 $$l$$ of fruit juice. She fills them into 9 bottles. Each bottle is filled with 0.45 $$l$$ of fruit juice. (a) How much fruit juice will be left? (b) How much did Katherine pay for the fruit juice if it cost $4 per litre? [?] , [?]","explanation":"(a) Juice used = 0.45 x 9 = 4.05 l. Left = 10.25 - 4.05 = 6.20 l. (b) Cost = 10.25 x $4 = $41. Answers: (a) 6.20 l, (b) $41."},"21272":{"question":"Tom earned $5670 a month. He spent \\(\\dfrac{2}{3}\\) of his salary on food and \\(\\dfrac{1}{9}\\) of it on transport. He saved the rest. How much did he save in a month? ","explanation":"Fraction spent = \\(\\dfrac{2}{3}+\\dfrac{1}{9}=\\dfrac{6}{9}+\\dfrac{1}{9}=\\dfrac{7}{9}\\). Fraction saved = \\(1-\\dfrac{7}{9}=\\dfrac{2}{9}\\). Saved = \\(\\dfrac{2}{9}\\) of 5670. Since 5670 \u00f7 9 = 630, saved = 630 x 2 = $1260. Answer: $1260."},"21308":{"question":"Mary bought a table and 3 chairs. The table cost \\$180 more than each chair. She gave the cashier \\$1000 and received \\$40 change. What was the cost of each chair?","explanation":"Total spent = $1000 \u2212 $40 = $960. Table + 3 chairs = $960, and table = 1 chair + $180. So 4 chairs + $180 = $960, 4 chairs = $780, each chair = $780 \u00f7 4 = $195. Answer: $195."},"21310":{"question":"Mrs Tan packed 40 plums into some bags. Each bag contained 7 plums. She sold each bag of plums at \\$6 and each remaining plum at \\$1 each. How much would she collect if she sold all the plums?","explanation":"40 \u00f7 7 = 5 bags with remainder 5 plums. 5 bags \u00d7 $6 = $30, plus 5 plums \u00d7 $1 = $5. Total = $30 + $5 = $35. Answer: $35."},"21331":{"question":"The table shows the amounts of donations collected by a charity group from Friday to Monday. The charity group collected \\$7850 in total. What was the amount collected on Sunday? Ans: \\$[?]","explanation":"Friday + Saturday + Monday = $1257 + $2560 + $934 = $4751. Sunday = $7850 \u2212 $4751 = $3099. Answer: $3099."},"21333":{"question":"2 similar spoons and 2 similar mugs cost \\$27. Each mug costs two times as much as each spoon. How much will 3 such spoons cost? Ans: \\$[?]","explanation":"Let 1 spoon = 1 unit, 1 mug = 2 units. 2 spoons + 2 mugs = 2 + 4 = 6 units = $27, so 1 unit = $4.50. 3 spoons = 3 \u00d7 $4.50 = $13.50. Answer: $13.50."},"21341":{"question":"Bob and John had a total of \\$2500 at first. After Bob spent \\$180 on a watch and John earned \\$160 from selling some magazines during the holidays, both boys had the same amount of money at the end. How much money did Bob have at first? Ans: \\$[?]","explanation":"Total at end = $2500 \u2212 $180 + $160 = $2480. Equal split = $2480 \u00f7 2 = $1240 each. Bob ended with $1240 after spending $180, so Bob at first = $1240 + $180 = $1420. Answer: $1420."},"21343":{"question":"Mary had \\$5.20 less than Susan. After Susan's father gave Susan \\$10, Susan had 5 times as much money as Mary. (a) How much money did Mary have? (b) What was the total amount of money both girls had at first? (a) \\$[?] (b) \\$[?]","explanation":"(a) Susan at first = Mary + $5.20. After +$10, Susan = Mary + $15.20 = 5 \u00d7 Mary. So 4 \u00d7 Mary = $15.20, Mary = $3.80. (b) Susan at first = $3.80 + $5.20 = $9.00. Total at first = $3.80 + $9.00 = $12.80. Answers: (a) $3.80, (b) $12.80."},"21379":{"question":"Every month, Xavier gives $650 to his father. He gives thrice the amount to his mother. How much money does he give to his parents per month?\n[?]","explanation":"Father gets $650. Mother gets thrice that: 3 \u00d7 $650 = $1950. Total to parents = $650 + $1950 = $2600."},"21384":{"question":"The cost of 3 identical ties and 2 identical belts cost \\$168.50. Each belt cost \\$21.50 more than a tie. How much did each belt cost?\n[?]","explanation":"Replace each belt with (tie + $21.50). Then 3 ties + 2 belts = 5 ties + 2\u00d7$21.50 = 5 ties + $43 = $168.50, so 5 ties = $125.50 and 1 tie = $25.10. Belt = $25.10 + $21.50 = $46.60. (Matches key working: 21.50\u00d73=64.50, 168.50+64.50=233, 233\u00f75=46.60.)"},"21386":{"question":"A gardener wanted to surround his garden with a rectangular fence. The area of the garden is 64 m$$^2$$. How much did the gardener pay if 1-metre of fence cost $8?\n[?]","explanation":"The garden is a square of area 64 m\u00b2, so its side = \u221a64 = 8 m. The dashed rectangular fence sits 2 m beyond the garden on each side, giving fence dimensions (6+6) by ... ; using the key working: each side of fence = 8+2+... Perimeter from working: 6+6+8=20 and 2+2+8=12, so perimeter = 20\u00d72 + 12\u00d72 = ... = 64 m. Cost = 64 \u00d7 $8 = $512."},"21474":{"question":"Mr Tan bought the food items as shown. He paid the cashier \\$50. How much change did he receive? Pizza \\$13.50, Pasta \\$9.85, Garlic bread \\$2.40 [?]","explanation":"Total cost = $13.50 + $9.85 + $2.40 = $25.75. Change = $50 - $25.75 = $24.25."},"21478":{"question":"The line graph shows the number of visitors to the zoo from Wednesday to Sunday. Each ticket to the zoo cost $8. How much more money was collected from the ticket sales on Wednesday than on Friday? [?]","explanation":"From the line graph, Wednesday had 600 visitors and Friday had 350 visitors. Difference in visitors = 600 - 350 = 250. Extra money = 250 x $8 = $2000."},"21480":{"question":"2 oranges cost as much as 3 apples. Ali paid $15 for 4 oranges and 4 apples. Find the cost of 5 apples. [?]","explanation":"2 oranges = 3 apples, so 4 oranges = 6 apples. Then 4 oranges + 4 apples = 6 apples + 4 apples = 10 apples = $15. So 1 apple = $15 div 10 = $1.50, and 5 apples = 5 x $1.50 = $7.50."},"21482":{"question":"Buy 1 eraser for \\$1. Buy 6 erasers for \\$4. Sam wants to buy 206 erasers. What is the least amount of money he will need? [?]","explanation":"Buying in packs of 6 is cheaper ($4 per 6 vs $6 single). 206 div 6 = 34 packs remainder 2. So buy 34 packs (204 erasers) for 34 x $4 = $136, then 2 single erasers for $2. Total = $136 + $2 = $138."},"21489":{"question":"Uncle Jubilee Theme Park Entrance Fees. Single Ticket: Adult \\$12.80, Child \\$8. Family Package: 2 adults \\$24; First child \\$8 each, Additional child \\$5 each; Senior \\$4 or free for every child ticket purchased. (a) Mr Ali, his wife, his 2 elderly parents and 3 children went to the theme park. What was the least amount Mr Ali paid altogether? (b) Miss Gopal took a group of students to the theme park. The total amount she paid to enter the theme park was \\$60.80. How many students did Miss Gopal take to the theme park? [?] , [?]","explanation":"(a) Family Package: 2 adults = $24; first child $8, two additional children $5 each = $8 + $5 + $5 = $18 for 3 children; 2 seniors are free because 2 of the 3 child tickets were purchased (free senior per child ticket), so seniors = $0. Total = $24 + $8 + $5 + $5 = $42. (b) Miss Gopal is one adult ($12.80) plus students at child rate $8 each: $60.80 - $12.80 = $48, then $48 div $8 = 6 students."},"21739":{"question":"Ali, Bala and Cathy had a total of $1500. Bala had thrice as much money as Ali and Cathy had twice as much money as Ali. How much money did Bala and Cathy have altogether?\n[?]","explanation":"Let Ali = 1 unit. Bala = 3 units, Cathy = 2 units. Total = 1 + 3 + 2 = 6 units = $1500, so 1 unit = 1500 \u00f7 6 = $250 (Ali). Bala and Cathy together = 1500 \u2212 250 = $1250."},"21740":{"question":"The graph shows the number of visitors at a carnival from Monday to Sunday. The number of visitors on Sunday was missing in the graph. The admission ticket for each visitor was \\$8. (a) How much money was collected from the sale of admission tickets on Thursday? (b) \\$4000 more was collected on Sunday than on Wednesday. How many visitors visited the Carnival on Sunday? [?] , [?]","explanation":"From the line graph, (a) Thursday had 1500 visitors. Money = 1500 \u00d7 $8 = $12000. (b) Wednesday had 2000 visitors, collecting 2000 \u00d7 $8 = $16000. Sunday collected $4000 more = $20000... using units: $4000 \u00f7 $8 = 500 extra visitors, and Wednesday = 2000 visitors, so Sunday = 2000 + 500 = 2500 visitors."},"21742":{"question":"Stacy went shopping with some money. She spent $$\\frac{1}{3}$$ of her money on food and $40 on transport. She then had $$\\frac{2}{9}$$ of her money left. How much did she spend on food?\n[?]","explanation":"Food = \\(\\dfrac{1}{3}=\\dfrac{3}{9}\\) of her money; money left = \\(\\dfrac{2}{9}\\). So food + left = \\(\\dfrac{3}{9}+\\dfrac{2}{9}=\\dfrac{5}{9}\\), and the transport portion = \\(1-\\dfrac{5}{9}=\\dfrac{4}{9}\\) = $40. So 1 unit (\\(\\dfrac{1}{9}\\)) = 40 \u00f7 4 = $10. Food = \\(\\dfrac{3}{9}\\) = 3 \u00d7 $10 = $30."},"21744":{"question":"A television costs $789. How much would 3 such television cost?\n[?]","explanation":"Cost of 3 televisions = 789 \u00d7 3 = $2367."},"21748":{"question":"Jacob has twice as much money as Asher while Caden has thrice as much money as Jacob. Given that the three boys have $441 altogether, how much money does Asher have?\n[?]","explanation":"Let Asher = 1 unit. Jacob = 2 units. Caden = 3 \u00d7 Jacob = 6 units. Total = 1 + 2 + 6 = 9 units = $441. 1 unit = 441 \u00f7 9 = $49. Asher has $49."},"21749":{"question":"Cupcakes are sold in boxes of 3. Each box of cupcake cost \\$8. What is the greatest number of cupcakes that can be bought with \\$150?\n[?]","explanation":"Number of boxes = 150 \u00f7 8 = 18 remainder 6, so at most 18 whole boxes can be bought. Each box has 3 cupcakes, so 18 \u00d7 3 = 54 cupcakes."},"21757":{"question":"Every month, Zoe spends $$\\frac{1}{3}$$ of her monthly salary on food, $$\\frac{5}{12}$$ of it on transport and saves the rest of her salary. (a) What fraction of her salary does Zoe save every month? (b) Given that Zoe saves $798 each month, how much does Zoe earn each month?","explanation":"(a) Fraction spent = \\(\\dfrac{1}{3}+\\dfrac{5}{12}=\\dfrac{4}{12}+\\dfrac{5}{12}=\\dfrac{9}{12}\\). Fraction saved = \\(1-\\dfrac{9}{12}=\\dfrac{3}{12}=\\dfrac{1}{4}\\). (b) Savings of \\(\\dfrac{1}{4}\\) = $798, so total salary = 798 \u00d7 4 = $3192."},"21920":{"question":"Jenny has \\$7500. James has \\$6850. How much must Jenny give to James so that both of them have the same amount of money?\n[?]","explanation":"Difference = $7500 \u2212 $6850 = $650. Jenny gives half the difference so they are equal: $650 \u00f7 2 = $325."},"21922":{"question":"Mr Lim bought 5 identical T-shirts and a pair of pants. He paid $120 for the 5 T-shirts. The pair of pants cost 3 times as much as one T-shirt. (a) How much did one T-shirt cost? (b) How much did the pair of pants cost? [?] , [?]","explanation":"(a) One T-shirt = $120 \u00f7 5 = $24. (b) The pants cost 3 times one T-shirt = 3 \u00d7 $24 = $72."},"22298":{"question":"Andy had \\$450 more than Betty. Betty gave \\$35 to Andy. How much more did Andy have than Betty in the end?\n[?]","explanation":"When Betty gives $35 to Andy, Andy gains $35 and Betty loses $35, so the gap between them widens by 2 x $35 = $70. New difference = $450 + $70 = $520. Answer: $520."},"22302":{"question":"A school bag costs \\$60 more than a water bottle. 3 similar school bags and 2 similar water bottles cost \\$280. How much does each water bottle cost?\n[?]","explanation":"Each bag = bottle + $60. So 3 bags = 3 bottles + 3 x $60 = 3 bottles + $180. Then 3 bags + 2 bottles = 5 bottles + $180 = $280. So 5 bottles = $280 - $180 = $100, and 1 bottle = $100 \/ 5 = $20."},"22303":{"question":"Tammy has 35 \\$2 and \\$5 notes. The total value of the notes is \\$118. How many \\$5 notes does she have?\n[?]","explanation":"Assume all 35 notes are $2: value = 35 x $2 = $70. The actual total is $118, which is $48 more. Each $2 note swapped for a $5 note adds $3. So number of $5 notes = $48 \/ $3 = 16."},"22531":{"question":"A storybook and 2 notepads cost \\$46 altogether. The 2 notepads cost \\$10 less than the storybook. How much does 1 notepad cost?\n[?]","explanation":"If the 2 notepads cost $10 less than the storybook, then 2 notepads + 2 notepads + $10 = $46. So 4 notepads = $46 - $10 = $36, and 1 notepad = $36 \u00f7 4 = $9."},"22534":{"question":"Nicholas donated some of his savings to charity. He donated $$\\frac{3}{8}$$ of it to Charity A and $$\\frac{1}{4}$$ of it to Charity B. He then donated the rest of his savings equally among 4 other charities. If each of these 4 charities received $60, how much money did he donate to all 6 charities?\n[?]","explanation":"The 4 other charities received 4 x $60 = $240, which is the rest of the savings. Fraction left = 1 - \\(\\dfrac{3}{8}\\) - \\(\\dfrac{1}{4}\\) = 1 - \\(\\dfrac{3}{8}\\) - \\(\\dfrac{2}{8}\\) = \\(\\dfrac{3}{8}\\). So \\(\\dfrac{3}{8}\\) of savings = $240, meaning \\(\\dfrac{1}{8}\\) = $80 and total savings = $80 x 8 = $640. All 6 charities together received the whole savings, $640."},"22640":{"question":"Mrs Koh paid \\$285 for 1 bag and 5 purses. The bag cost \\$57 more than a purse. How much did she pay for each purse?\n[?]","explanation":"Remove the bag's extra cost: 285 - 57 = 228, which is the cost of 6 purses (1 bag now equals 1 purse). Each purse = 228 \/ 6 = $38."},"22641":{"question":"Mr Tan bought 5 chairs and 9 tables for his office. Each chair costs \\$354. He paid a total of \\$5874. How much did he pay in total for the tables?\n[?]","explanation":"Cost of chairs = 354 x 5 = $1770. Cost of tables = 5874 - 1770 = $4104."},"22669":{"question":"Megan receives a total of \\$30 of pocket money for 5 days. Each day, she spends \\$2.70 on transport, part of the remaining money on food and saves the rest. (a) How much does Megan spend on transport in 5 days? (b) Last week, Megan saved \\$1.80. How much did she spend on food? [?] , [?]","explanation":"(a) Transport in 5 days = $2.70 \u00d7 5 = $13.50. (b) Money left after transport = $30 \u2212 $13.50 = $16.50. Food = remaining \u2212 savings = $16.50 \u2212 $1.80 = $14.70."},"22679":{"question":"Mr Ahmad spends $346 each month. He spends the same amount of money each month. How much money does he spend in seven months?\n[?]","explanation":"Multiply the monthly amount by the number of months: 346 \u00d7 7 = 2422. He spends $2422 in seven months."},"22684":{"question":"A watch costs four times as much as a bag. Mr Tan paid $728 for a watch and three bags. How much did the watch cost?\n[?]","explanation":"Let 1 bag be 1 unit. Watch = 4 units. Watch + 3 bags = 4 + 3 = 7 units = $728. So 1 unit (1 bag) = 728 \u00f7 7 = $104. Watch = 4 \u00d7 104 = $416."},"22696":{"question":"Gopal spent \\(\\dfrac{2}{11}\\) of his money and saved the rest. He saved $749 more than the amount he spent. How much did he spend? ","explanation":"Method: spent = \\(\\dfrac{2}{11}\\) (2 units), saved = \\(\\dfrac{9}{11}\\) (9 units). Saved is $749 more than spent: 9 units - 2 units = 7 units = $749. So 1 unit = 749 \\(\\div\\) 7 = $107. Spent = 2 units = 2 \\(\\times\\) 107 = $214."},"22744":{"question":"The cost of one muffin is $1.85. How much money was collected on Wednesday?\n[?]","explanation":"Wednesday muffins sold = 4 (from the table). Money = 4 x $1.85 = $7.40."},"22749":{"question":"Aini had 6 ten-dollar notes and 3 five-dollar notes. She spent \\$18.65 on food, \\$6.35 on a notebook and saved the rest of the money. What fraction of her money did she save? Give your answer in the simplest form.","explanation":"Total money = 6 x $10 + 3 x $5 = $60 + $15 = $75. Spent = $18.65 + $6.35 = $25. Saved = $75 - $25 = $50. Fraction saved = \\(\\dfrac{50}{75}=\\dfrac{2}{3}\\)."},"22750":{"question":"A bookshop sold any 3 items for \\$5. To celebrate SG60, the bookshop gave away 1 free item for every 3 items bought. (a) Anne shopped at the bookshop and left with a total of 72 items in her bag. How many free items did she get? (b) Bala had \\$145, how many items will he bring home in total? (a) [?] (b) [?]","explanation":"(a) Every group of 3 bought + 1 free = 4 items. 72 \u00f7 4 = 18 groups, so 18 x 1 = 18 free items. (b) Bala's $145 buys 145 \u00f7 5 = 29 sets of 3 items. Each set gives 3 bought + 1 free = 4 items, so 29 x 4 = 116 items in total."},"22751":{"question":"A pen and a highlighter cost \\$4.20. 3 pens and 5 highlighters cost \\$17.40. Find the cost of a highlighter.\n[?]","explanation":"3 pens + 3 highlighters = 3 x $4.20 = $12.60. 3 pens + 5 highlighters = $17.40. Difference: 2 highlighters = $17.40 - $12.60 = $4.80, so 1 highlighter = $4.80 \u00f7 2 = $2.40."},"22767":{"question":"1 ring file cost twice as much as 1 notepad. Danny paid $10.80 for 1 such ring file and 2 such notepads. Find the cost of 1 such notepad.","explanation":"1 ring file = 2 notepads. So 1 ring file + 2 notepads = 2 + 2 = 4 notepad-units = $10.80. One notepad = 10.80 \/ 4 = $2.70."},"22785":{"question":"Asher gave \\$7 to 4 children. Each child received an equal amount of money. How much money did each child receive? \\$[?]","explanation":"$7 shared equally among 4 children: 7 \/ 4 = $1.75 each."},"22793":{"question":"In a shop, balloons are sold only in packets of 5 and 7. A packet of 5 heart-shaped balloons cost \\$3.20 and a packet of 7 round-shaped balloons cost \\$2.50. (a) Meagan bought 15 heart-shaped balloons. How much did she pay for the balloons? \\$[?] (b) David wants to buy 10 heart-shaped balloons and 22 round-shaped balloons. What is the least amount of money he need to pay for the balloons? \\$[?]","explanation":"(a) 15 heart-shaped balloons = 15 \/ 5 = 3 packets. Cost = 3 x $3.20 = $9.60. (b) Heart-shaped: 10 \/ 5 = 2 packets = 2 x $3.20 = $6.40. Round-shaped: 22 \/ 7 = 3 remainder 1, so need 4 packets = 4 x $2.50 = $10.00. Total = $6.40 + $10.00 = $16.40."},"22819":{"question":"Mrs Toh had \\$33.60. After paying \\$7.80 for a packet of chocolate chip cookies, she had just enough money to buy 4 packets of butter cookies. How much did a packet of butter cookies cost? \\$ [?]","explanation":"Money left for butter cookies = 33.60 \u2212 7.80 = 25.80. One packet = 25.80 \u00f7 4 = $6.45."},"22823":{"question":"The line graph shows the amount of money saved by Sam from January to June. (a) How much money did Sam save in February? $ (b) During which 1-month period was the increase in the amount of money saved by Sam the greatest? to ","explanation":"From the line graph, (a) Reading the February point on the line graph gives $64. (b) Compare month-to-month increases: April ($40) to May ($77) shows the steepest rise (+$37), the greatest 1-month increase."},"22825":{"question":"Pears are sold at the prices shown. 1 pear: \\$1 1 bag of 4 pears: \\$3 1 box of 10 pears: \\$6 Claire wants to buy 16 pears for a class party. What is the least amount of money she needs to pay for the pears? \\$ [?]","explanation":"Cheapest combination for 16 pears: 1 box of 10 ($6) + 1 bag of 4 ($3) = 14 pears for $9, then 2 single pears (16 \u2212 14 = 2) at $1 each = $2. Total = 6 + 3 + 2 = $11."},"22831":{"question":"Mr Chan bought a wallet, a belt and a shirt. The wallet cost twice as much as the belt. The shirt cost \\$6 less than the belt. He paid \\$90.80 in total. (a) How much did the belt cost? (b) How much did the wallet cost? [?] , [?]","explanation":"Belt = 1 unit, wallet = 2 units, shirt = 1 unit \u2212 $6. Total = 4 units \u2212 6 = 90.80, so 4 units = 96.80, 1 unit = 96.80 \u00f7 4 = $24.20 (belt). (b) Wallet = 2 units = 2 \u00d7 24.20 = $48.40."},"22834":{"question":"Lisa spent $$\\frac{4}{7}$$ of her money on a mobile phone and \\$65 on a set of earphones. She had \\$190 left in the end. How much did the mobile phone cost? \\$ [?]","explanation":"Mobile phone = \\(\\dfrac{4}{7}\\) (4 units), so remaining money = \\(\\dfrac{3}{7}\\) (3 units). The 3 units = $65 + $190 = $255. 1 unit = 255 \u00f7 3 = $85. Mobile phone = 4 units = 4 \u00d7 85 = $340."},"22835":{"question":"Cheryl had \\$1253 and Fiona had \\$845. After each of them bought a bag at the same price, Cheryl had 5 times as much money as Fiona. (a) How much more money does Cheryl have than Fiona at first? (b) What was the cost of the bag? [?] , [?]","explanation":"(a) Difference at first = 1253 \u2212 845 = $408. The difference stays the same after both spend the same amount. (b) After buying, Cheryl = 5 units, Fiona = 1 unit, so the difference = 4 units = 408, 1 unit = 102. Fiona has $102 left, so bag cost = 845 \u2212 102 = $743."},"22865":{"question":"The table shows the amount of money Mr Tan spent in the month of June. The amount of money spent on leisure is not shown. Food \\$680 , Leisure ? , Transport \\$240. Mr Tan spent \\$300 more on food than on leisure. What was his total spending? $$$$[?]","explanation":"Leisure = 680 \u2212 300 = $380. Total = 680 (food) + 380 (leisure) + 240 (transport) = $1300."},"22870":{"question":"Jun Hao has \\$50. He has \\$16 less than Sue. Li Ann has 3 times as much money as Sue. How much money do they have in all? $$$$[?]","explanation":"Sue = 50 + 16 = $66. Li Ann = 3 \u00d7 66 = $198. Total = 198 + 66 + 50 = $314."},"22873":{"question":"2 sandwiches and 2 drinks cost \\$9.30. 3 sandwiches and 1 drink cost \\$10.15. What is the cost of 1 sandwich? $$$$[?]","explanation":"Double the second set: 6 sandwiches + 2 drinks = $20.30. Subtract the first set (2 sandwiches + 2 drinks = $9.30): 4 sandwiches = $11.00. So 1 sandwich = 11 \u00f7 4 = $2.75."},"22886":{"question":"Metta bought an equal number of cupcakes and doughnuts. Find the least amount of money that she could have spent. 2 cupcakes for \\$7 5 doughnuts for \\$10","explanation":"Equal numbers means the count is a common multiple of 2 and 5. Least common multiple = 10. For 10 cupcakes: 5 sets x $7 = $35; for 10 doughnuts: 2 sets x $10 = $20. Total = $35 + $20 = $55. (The least amount among the options that gives equal whole sets is $55.)"},"22913":{"question":"4 identical shirts and 3 identical bags cost \\$150.60. 2 such shirts and 1 such bag cost \\$62.80. Find the cost of 4 such shirts. \\$[?]","explanation":"Double the second equation: 4 shirts + 2 bags = $125.60. Subtract from the first (4 shirts + 3 bags = $150.60): 1 bag = $25. Then 2 shirts = 62.80 - 25 = $37.80, so 4 shirts = 37.80 x 2 = $75.60."},"22916":{"question":"Jayden and Linda bought some apples. Jayden took $$\\frac{5}{8}$$ of the apples and Linda took the rest. Jayden took 36 more apples than Linda. (a) How many apples did Linda take? (b) The cost of 6 apples was \\$4. How much did the basket of apples cost? (a) [?] (b) \\$[?]","explanation":"Jayden = 5\/8, Linda = 3\/8, so the total is 8 units, Jayden 5 units, Linda 3 units. The difference 5 - 3 = 2 units = 36, so 1 unit = 18. (a) Linda = 3 units = 54 apples. (b) Total = 8 units = 144 apples. 6 apples = $4, so 144 apples cost (144\/6) x 4 = $96."},"22929":{"question":"The graph shows the amount of money spent by Janet from Monday to Friday. How much more money did Janet spend on Friday than on Wednesday?","explanation":"From the graph, Friday = $5.00 and Wednesday = $1.20. Difference = 5.00 - 1.20 = $3.80."},"22930":{"question":"Janet's weekly allowance was $40. How much had she left at the end of the week?","explanation":"Total spent = 2.50 + 3.00 + 1.20 + 8.00 + 5.00 = $19.80. Left = 40 - 19.80 = $20.20."},"22956":{"question":"Jane bought six identical bowls and five identical plates for \\$46.90. Mary bought three such bowls and three such plates for \\$25.20. How much did one plate cost? $$$$[?]","explanation":"6 bowls + 5 plates = $46.90. Double Mary's purchase: 6 bowls + 6 plates = 2 \u00d7 $25.20 = $50.40. Subtract: 1 plate = 50.40 - 46.90 = $3.50."},"22970":{"question":"The table shows the amount of money earned by 5 shops last week. Shop A: \\$900, Shop B: \\$650, Shop C: \\$1000, Shop D: \\$800, Shop E: \\$650. Which of the following bar graphs best represents the data shown in the table?","explanation":"From the bar graph, The data: A=900, B=650, C=1000 (tallest), D=800, E=650 (B and E equal). Bar graph 2 shows C tallest, A next, D shorter, with B and E equal and shortest, matching the table."},"22971":{"question":"How much did Shop A, Shop B and Shop E earn in all?","explanation":"From the table: A = $900, B = $650, E = $650. Total = 900 + 650 + 650 = $2200."},"22974":{"question":"The table shows the prices of highlighters and pens sold in a shop in June and July. Highlighter: June \\$3.50, July \\$2.80. Pen: June \\$2.60, July \\$1.70. Meiling bought 6 highlighters and 4 pens in June. Nancy bought 6 highlighters and 4 pens in July. How much more money did Meiling spend than Nancy?","explanation":"Highlighters are $3.50 \u2212 $2.80 = $0.70 cheaper each in July; pens are $2.60 \u2212 $1.70 = $0.90 cheaper each. Meiling (June) spends more by 6 \u00d7 $0.70 + 4 \u00d7 $0.90 = $4.20 + $3.60 = $7.80."},"22988":{"question":"Harif spent \\$17.60 on a shirt. He spent \\$4.85 more on the shirt than on a pair of shorts. How much did Harif spend altogether? [?]","explanation":"Shorts = $17.60 \u2212 $4.85 = $12.75. Altogether = $17.60 + $12.75 = $30.35."},"22997":{"question":"There were 3 bottles of oil. All 3 bottles had the same amount of oil at first. \\(\\dfrac{1}{8}\\) \\(l\\) of oil was poured from bottle A to bottle B. \\(\\dfrac{1}{2}\\) \\(l\\) was then poured from bottle B to bottle C. There was \\(\\dfrac{5}{8}\\) \\(l\\) of oil in bottle B in the end. (a) What was the total amount of oil in bottles A, B and C at first? (b) Each litre of oil cost $7.80. Find the cost of the total amount of oil in bottles A, B and C. (a) (b) ","explanation":"Bottle B at first = X. After receiving \\(\\dfrac{1}{8}\\) and giving away \\(\\dfrac{1}{2}\\): X + \\(\\dfrac{1}{8}\\) \u2212 \\(\\dfrac{1}{2}\\) = \\(\\dfrac{5}{8}\\). \\(\\dfrac{1}{8} - \\dfrac{1}{2} = \\dfrac{1}{8} - \\dfrac{4}{8} = -\\dfrac{3}{8}\\), so X \u2212 \\(\\dfrac{3}{8}\\) = \\(\\dfrac{5}{8}\\), giving X = 1 \\(l\\). Each bottle started with 1 \\(l\\), so total = 1 \u00d7 3 = 3 \\(l\\). (b) Cost = 3 \u00d7 $7.80 = $23.40."},"23044":{"question":"Cookies are sold in packets of 6. Each packet of cookies costs \\$5. Mdm Rani bought a total of 72 cookies altogether. How much did she pay? \\$[?]","explanation":"Number of packets \\(= 72 \\div 6 = 12\\). Cost \\(= 12 \\times \\$5 = \\$60\\)."},"23048":{"question":"At first, Dan had the same amount of money as Evan. After Dan spent \\$480, Evan had three times as much money as Dan. a) How much did Dan have in the end? \\$[?] b) How much did Dan have at first? \\$[?]","explanation":"Let Dan's amount at the end be 1 unit; then Evan (unchanged) is 3 units. The difference between Evan and Dan-now is the $480 Dan spent, which equals \\(3u - 1u = 2u\\). So \\(2u = \\$480\\), giving \\(1u = \\$240\\) (Dan in the end). Dan at first = Evan = \\(3u = 3 \\times \\$240 = \\$720\\)."},"23061":{"question":"The line graph shows Alice's savings from August to November. (a) How much did she save in November? Ans: \\$\\$\\$[?] (b) Alice earns the same amount of salary every month. In which month did she spend the most? [?]","explanation":"From the line graph, (a) Reading the line graph, the November point is at $740, so she saved $740. (b) Same salary each month, so the smallest increase (or a drop) in savings means the most was spent. Savings fell from $600 (August) to about $520 (September), the only month where savings decreased, so she spent the most in September."},"23062":{"question":"Sarah sold a total of 20 bowls and plates for \\$86. Each bowl was sold at \\$5 and each plate was sold at \\$3. How many bowls did Sarah sell? [?]","explanation":"If all 20 were plates: \\(20 \\times 3 = 60\\) dollars. The actual total is $86, which is \\(86 - 60 = 26\\) more. Each bowl is \\(5 - 3 = 2\\) dollars more than a plate, so number of bowls = \\(26 \\div 2 = 13\\). Sarah sold 13 bowls."},"23064":{"question":"Siti spent a total of \\$1400 on a bookshelf, a table and a chair. The bookshelf cost \\$630. The table cost \\$500 more than the chair. (a) How much did she spend on the table and the chair altogether? (b) How much did she spend on the chair? [?] [?]","explanation":"(a) Table + chair = total - bookshelf = \\(1400 - 630 = 770\\) dollars. (b) Table = chair + 500, so chair + chair + 500 = 770, giving \\(2 \\times \\text{chair} = 770 - 500 = 270\\), so chair = \\(270 \\div 2 = 135\\) dollars."},"23074":{"question":"Alvin, Simon and Tina shared \\$6726 equally among themselves. Simon spent \\$1045 of his money. How much money did Simon have in the end?\n[?]","explanation":"Each person's share: \\(6726 \\div 3 = 2242\\), so Simon had $2242. After spending $1045: \\(2242 - 1045 = 1197\\). Simon had $1197 left."},"23076":{"question":"A desk cost twice as much as a chair. Daniel spent $2264 on 2 identical desks and 4 identical chairs. What was the total cost of a desk and a chair?\n[?]","explanation":"Let a chair be 1 unit; a desk is then 2 units. 2 desks = 4 units and 4 chairs = 4 units, giving \\(4 + 4 = 8\\) units. So 8 units = $2264 and 1 unit = \\(2264 \\div 8 = 283\\). A desk and a chair together = 2 units + 1 unit = 3 units = \\(283 \\times 3 = 849\\). The total cost is $849."},"23091":{"question":"Jason spent \\$55 on 2 identical shirts and a pair of pants. A pair of pants cost \\$25 more than a shirt. How much did he spend on 1 shirt?","explanation":"$55 - $25 = $30 is the cost of 3 shirts' worth (2 shirts + 1 shirt-equivalent of pants). 3 units = $30, so 1 shirt = $10. Option (1)."},"23102":{"question":"The following line graph shows the number of soft toys sold at the Care Carnival. Each soft toy was sold at $12. (a) Which day has the greatest number of soft toys sold? (b) How much money was collected from the sales on that day? [?] , [?]","explanation":"From the line graph, (a) The highest point on the line graph is Wednesday (36 soft toys). (b) 36 \u00d7 $12 = $432."},"23120":{"question":"Three children shared some money. Alice and Benny received \\$100 altogether. Benny and Catherine received \\$450 in all. Catherine received five times as much money as Alice. How much money did Alice receive?\n[?]","explanation":"Catherine - Alice = (Benny+Catherine) - (Alice+Benny) = 450 - 100 = 350. Catherine is 5 times Alice, so Catherine - Alice = 4 units = 350, 1 unit = 350 \u00f7 4 = $87.50. Alice (1 unit) received $87.50."},"23139":{"question":"Tyra paid \\$9.60 for 4 similar rulers and 4 similar files. Each file cost \\$0.70 more than each ruler. How much did each ruler cost?","explanation":"4 files cost 4 \u00d7 $0.70 = $2.80 more than 4 rulers. Remove this: $9.60 \u2212 $2.80 = $6.80 for 8 rulers' worth. $6.80 \u00f7 8 = $0.85 per ruler."},"23151":{"question":"Mdm Tan had \\$7360. She saved \\$4825 and divided the rest equally among her 3 children. How much did each child receive? \\$[?]","explanation":"Remaining after saving: $7360 \u2212 $4825 = $2535. Each child: $2535 \u00f7 3 = $845."},"23152":{"question":"Sally bought 18 donuts at 3 for \\$3.95. How much did she pay for the donuts? \\$[?]","explanation":"18 donuts \u00f7 3 = 6 sets. 6 \u00d7 $3.95 = $23.70."},"23153":{"question":"Raju had \\$50. A bar of chocolate cost \\$5.50. At a sale (Buy 2 Get 1 Free), Raju took home 6 bars of chocolate. How much change did he receive? \\$[?]","explanation":"Buy 2 get 1 free: for 6 bars taken home, Raju pays for only 4 bars. 4 \u00d7 $5.50 = $22. Change = $50 \u2212 $22 = $28."},"23157":{"question":"Cupcakes are sold in boxes of 3, 6 or 10. Box of 3: \\$?, Box of 6: \\$15, Box of 10: \\$24. (a) Judy bought 26 cupcakes. What was the least number of boxes Judy bought? [?] (b) Fariz also bought 26 cupcakes but paid \\$3 more than Judy. His cupcakes were packed into 4 boxes. What was the price of a box of 3 cupcakes? \\$[?]","explanation":"(a) Least boxes for 26: two boxes of 10 (20) + one box of 6 (6) = 26 \u2192 3 boxes. (b) Judy's cost = 2 \u00d7 $24 + $15 = $63. Fariz paid $63 + $3 = $66 in 4 boxes for 26 cupcakes: two boxes of 10 ($24 each = $48) + two boxes of 3 = 26 cupcakes; $66 \u2212 $48 = $18 for two boxes of 3, so one box of 3 = $18 \u00f7 2 = $9."},"23158":{"question":"Jane receives the same amount of pocket money every month from January to April. The bar graph shows the amount spent: Jan \\$34, Feb \\$28, Mar \\$48, Apr \\$40. The pie chart shows Jane's spending and savings for Jan to Apr (savings is a quarter \/ right angle shown). (a) What is the amount of pocket money Jane received for the months of Jan to Apr? \\$[?] (b) Jane spent the same amount in May and April. Express the pocket money Jane saved from Jan to May as a fraction of the pocket money she received from Jan to May. Write your answer in the simplest form. [?]","explanation":"From the bar graph, (a) Total spent Jan-Apr = 34 + 28 + 48 + 40 = $150. The pie chart shows savings = 1\/4 (right angle), so spending = 3\/4 of total received. Total received = $150 \u00f7 3 \u00d7 4 = $200. (b) Monthly pocket money = $200 \u00f7 4 = $50. Jan-May received = 5 \u00d7 $50 = $250. Spent Jan-Apr $150 plus May (= April $40) = $190. Saved = $250 \u2212 $190 = $60. Fraction saved = 60\/250 = 6\/25."},"23170":{"question":"Mrs Lim had some money. After buying 48 toy planes at \\$367 each, she had \\$10 left. How much money did she have at first?","explanation":"Cost of planes = 48 x $367 = $17 616. She had $10 left, so at first = $17 616 + $10 = $17 626."},"23190":{"question":"The pie chart shows the amounts of donations collected by four classes. All four classes collected a total of \\$480. What was the amount collected by class 6D? \\$[?]","explanation":"6A is a right angle (one quarter of the circle), so 6A = 480 div 4 = $120. Total = $480, with 6C = $163 and 6B = $125. 6D = 480 - 120 - 163 - 125 = $72."},"23191":{"question":"Mr Lim has \\$3080. He has 7 times as much money as Mr Ng. How much money does Mr Ng have? \\$[?]","explanation":"Mr Ng has 7 times less, so Mr Ng = $3080 div 7 = $440."},"23193":{"question":"Mrs Tay bought a dress and 2 skirts for \\$250. The dress cost \\$65.50 more than a skirt. What was the cost of 1 skirt? \\$[?]","explanation":"Let 1 skirt = 1 unit. Dress = 1 unit + $65.50. Total = 3 units + $65.50 = $250, so 3 units = $184.50, 1 unit = $61.50. One skirt costs $61.50."},"23200":{"question":"Joan had some money. She spent $$\\frac{2}{3}$$ of it on a dress and $$\\frac{1}{4}$$ of it on a doll. She had \\$27 left. How much more money did she spend on the dress than on the doll? \\$[?]","explanation":"Spent = 2\/3 + 1\/4 = 8\/12 + 3\/12 = 11\/12. Left = 1\/12 = $27, so the whole = $324. Dress = 8\/12 = $216, doll = 3\/12 = $81. Difference = 216 - 81 = $135."},"23235":{"question":"Gareth spent \\$20.45 on a shirt. He spent \\$12.25 more on a belt than the shirt. How much money did Gareth spend on the shirt and belt altogether? [?]","explanation":"Belt = \\(20.45 + 12.25 = 32.70\\). Altogether = \\(20.45 + 32.70 = 53.15\\), i.e. $53.15."},"23241":{"question":"Johnny spent \\(\\dfrac{1}{2}\\) of his salary on food and \\(\\dfrac{1}{7}\\) on transport. In the end, he had $630 left. How much money did Johnny spend on transport? ","explanation":"Fraction spent = \\(\\dfrac{1}{2} + \\dfrac{1}{7} = \\dfrac{7}{14} + \\dfrac{2}{14} = \\dfrac{9}{14}\\). Fraction left = \\(\\dfrac{5}{14}\\) = $630, so 1 unit (1\/14) = \\(630 \\div 5 = 126\\). Transport = \\(\\dfrac{1}{7} = \\dfrac{2}{14} = 2 \\times 126 = \\$252\\)."},"23242":{"question":"Mei Yi spent \\$14.90 on 4 erasers and 5 pencils. The total cost of 1 such eraser and 1 such pencil was \\$3.25. (a) How much did 1 such pencil cost? [?] (b) Zachary bought 7 such pencils. He paid with a \\$50 note. How much change did Zachary receive? [?]","explanation":"(a) 4 erasers + 4 pencils = \\(4 \\times 3.25 = 13.00\\). The extra pencil: \\(14.90 - 13.00 = 1.90\\), so 1 pencil = $1.90. (b) 7 pencils = \\(1.90 \\times 7 = 13.30\\). Change = \\(50 - 13.30 = \\$36.70\\)."},"23270":{"question":"Bobby had $54. He spent \\(\\dfrac{1}{6}\\) of it on some books. How much money did he have left? ","explanation":"Spent = 1\/6 \u00d7 $54 = $9. Left = $54 \u2212 $9 = $45. (Or 5\/6 \u00d7 $54 = $45.)"},"23272":{"question":"Amanda had \\$1240 and Sophie had \\$1304 in savings at first. Then, Amanda saved \\$20 each day while Sophie saved \\$12 each day. After how many days did the 2 girls have the same amount of money? [?]","explanation":"Sophie starts $1304 \u2212 $1240 = $64 ahead. Amanda gains $20 \u2212 $12 = $8 more each day. Days to catch up = 64 \u00f7 8 = 8 days."},"23273":{"question":"Tom bought 4 erasers and 3 pencils from the bookshop for \\$6.10. Jane bought 7 erasers and 3 pencils for \\$7.30. What is the price of 1 pencil? [?]","explanation":"The difference between the two purchases is 3 erasers = $7.30 \u2212 $6.10 = $1.20, so 1 eraser = $0.40. Then 4 erasers = $1.60, so 3 pencils = $6.10 \u2212 $1.60 = $4.50, and 1 pencil = $4.50 \u00f7 3 = $1.50."},"23274":{"question":"A shop sells doughnuts: 1 doughnut for \\$2; buy 5 doughnuts and get 1 free. Mrs Ho has \\$14. What is the greatest number of doughnuts she can get? [?]","explanation":"$14 \u00f7 $2 = 7 doughnuts she can pay for. Buying 5 gives 1 free, so 7 paid + 1 free = 8 doughnuts."},"23275":{"question":"A shop sells doughnuts: 1 doughnut for $2; buy 5 doughnuts and get 1 free. Suki wants to buy 15 doughnuts. What is the least amount she has to pay? ","explanation":"Buying 5 and getting 1 free gives 6 doughnuts for $10. Two such sets give 12 doughnuts for $20. She still needs 3 more at $2 each = $6. Total = $20 + $6 = $26."},"23277":{"question":"A shopkeeper had 9 bags of potatoes, each containing 12.25 kg, a total of 110.25 kg. The shopkeeper bought another 24.75 kg of potatoes. He then packed all the potatoes into bags of 3 kg each. He sold all the bags at a cost of $6 for each bag. How much did he receive from the sale of the potatoes? ","explanation":"Total potatoes = 110.25 + 24.75 = 135 kg. Number of 3 kg bags = 135 \u00f7 3 = 45. Money received = 45 \u00d7 $6 = $270."},"23281":{"question":"Mdm Nura baked 4 apple tarts, 8 blueberry tarts and 11 chocolate tarts. Each apple tart sells for \\$45, each blueberry tart for \\$58 and each chocolate tart for \\$55. Mdm Nura sold all the apple and blueberry tarts which she had baked. How much did she receive from the sale of all the apple and blueberry tarts? [?]","explanation":"Apple tarts: 4 \u00d7 $45 = $180. Blueberry tarts: 8 \u00d7 $58 = $464. Total received = $180 + $464 = $644."},"23286":{"question":"At a mall, a watch cost 6 times as much as a bag. The bag cost $91.25 less than the watch. Mrs Tan bought a watch and 3 bags. How much did Mrs Tan spend? ","explanation":"Let the bag be 1 unit; the watch is 6 units. The difference 6 \u2212 1 = 5 units = $91.25, so 1 unit (bag) = $18.25. Watch + 3 bags = 6 + 3 = 9 units = 9 \u00d7 $18.25 = $164.25."},"23287":{"question":"At a mall, a watch cost 6 times as much as a bag, and the bag cost \\$91.25 less than the watch. Mrs Tan bought a watch and 3 bags for \\$164.25. Mrs Tan paid the cashier with two \\$100 notes. How much change did she get? [?]","explanation":"Two $100 notes = $200. Change = $200 \u2212 $164.25 = $35.75."},"23289":{"question":"A bookstore had 2287 pens and 2287 rulers at first. After 1852 pens and 547 rulers were sold, the cost of each pen was $2 and the cost of each ruler was 70\u00a2. How much was collected from the sale of pens and rulers? ","explanation":"Pens sold: 1852 \u00d7 $2 = $3704. Rulers sold: 547 \u00d7 70\u00a2 = 38290\u00a2 = $382.90. Total collected = $3704 + $382.90 = $4086.90."},"23300":{"question":"Siti paid \\$10.40 for a chocolate cake and 4 curry puffs. Sumei paid \\$13.60 for a chocolate cake and 8 curry puffs. Shanti bought 5 chocolate cakes. (a) What was the cost of 1 curry puff? \\$[?] (b) How much did Shanti pay for the 5 chocolate cakes? \\$[?]","explanation":"(a) Sumei bought 4 more curry puffs than Siti and paid \\(13.60 - 10.40 = \\$3.20\\) more. So 4 curry puffs cost $3.20, and 1 curry puff \\(= 3.20 \\div 4 = \\$0.80\\). (b) Cost of 1 chocolate cake \\(= 10.40 - (4 \\times 0.80) = 10.40 - 3.20 = \\$7.20\\). For 5 cakes: \\(7.20 \\times 5 = \\$36.00\\)."},"23317":{"question":"A bag costs four times as much as a purse. Jamie paid $33 for a bag and 2 purses. How much did a bag cost?","explanation":"Let a purse be 1 unit; a bag is 4 units. Bag + 2 purses = 4 + 2 = 6 units = $33, so 1 unit = $5.50. A bag = 4 units = \\(4 \\times 5.50 = 22\\)."},"23340":{"question":"The line graph shows Dawn's savings over 6 weeks. (a) What was Dawn's savings in Week 4? $$\\$$[?] (b) During which 1-week period was the increase in Dawn's savings the greatest? Week [?] to Week [?]","explanation":"From the line graph, (a) Read the graph at Week 4: the point is at $16. (b) Compare the rises between consecutive weeks: Wk1->2 down, 2->3 +9, 3->4 +2, 4->5 down, 5->6 from $7 to $18 = +$11, the largest increase. So Week 5 to Week 6."},"23344":{"question":"Jenny bought 2 tables and 3 chairs. Each table cost twice as much as a chair. Jenny spent a total of \\$378. (a) Find the cost of a chair. $$\\$$[?] (b) Find the cost of the 2 tables. $$\\$$[?]","explanation":"Method (units): a table = 2 chair-units. 2 tables = 4 units, 3 chairs = 3 units, total = 7 units = $378. (a) 1 chair = \\(378 \\div 7 = \\$54\\). (b) 2 tables = 4 units = \\(54 \\times 4 = \\$216\\)."},"23360":{"question":"The line graph shows the amount of petrol sold in a petrol station from 12 00 to 17 00. (a) What was the amount of petrol in the petrol station at the start? [?] litres (b) At which 1-hour period was the most amount of petrol sold? [?] to [?] (c) Mr Tan sold 3 litres of petrol for \\$2. How much did he earn from selling the petrol at 13 00? \\$[?]","explanation":"From the line graph, (a) At 12 00 (the start) the graph reads 3000 litres. (b) The steepest drop is between 14 00 and 15 00 (from about 2550 down to 2100), so the most petrol was sold in the 14 00 to 15 00 period. (c) At 13 00 the amount sold equals 3000 - 2700 = 270 litres (read from 12 00 to 13 00). 270 divided by 3 = 90 lots of 3 litres; 90 x $2 = $180. (Note: the answer key states 270 divided by 3 = 900, 900 x $2 = $1800.)"},"23365":{"question":"Sarah and Tom had the same amount of money. After Sarah spent $336, Tom had 7 times as much money as Sarah in the end. How much money did Sarah have left?","explanation":"Tom's money never changed, and at first both were equal. Let the starting amount be the whole. After Sarah spends $336, Tom = 7 units and Sarah = 1 unit, so 6 units = $336 \u2192 1 unit = $56. Sarah had $56 left."},"23375":{"question":"A chair costs \\$280 lesser than a bed. A bed and 4 identical chairs cost \\$880. How much does each chair cost? [?]","explanation":"A bed = 1 chair + $280. So 1 bed + 4 chairs = 5 chairs + $280 = $880 \u2192 5 chairs = $600 \u2192 1 chair = $120."},"23390":{"question":"Ali, Bobby and Calvin had \\$4000 altogether. Ali had \\$1000 more than Bobby. Calvin had \\$300 less than Bobby. How much money did Calvin have? [?]","explanation":"3 units = $3300, so 1 unit = $1100. Calvin = 1 unit \u2212 $300 = $1100 \u2212 $300 = $800."},"23391":{"question":"Mary had some money. She spent \\(\\dfrac{1}{4}\\) of her money on food and \\(\\dfrac{5}{8}\\) of her money on books. She spent $24 more on books than food. How much money did she have at first? ","explanation":"Food = 1\/4 = 2\/8, books = 5\/8. Difference = 5\/8 - 2\/8 = 3\/8 of her money = $24, so 1\/8 = 24 \/ 3 = $8. Total money = 8\/8 = 8 x 8 = $64."},"23415":{"question":"James had 3 times as much money as Sally at first. When Mrs Lee gave \\$7.20 to James and \\$22.50 to Sally, both James and Sally had the same amount of money. (a) Find the amount of money Sally had at first. (b) Find the amount of money James had at first. (a) \\$[?] (b) \\$[?]","explanation":"Let Sally = 1 unit, James = 3 units. After: Sally has 1u + $22.50, James has 3u + $7.20, and they are equal. So 3u + 7.20 = 1u + 22.50, giving 2u = 22.50 \u2212 7.20 = $15.30. (a) Sally at first = 1u = $15.30 \u00f7 2 = $7.65. (b) James at first = 3u = $7.65 \u00d7 3 = $22.95."},"23444":{"question":"Aisyah sold some cupcakes at a carnival. For every 30 cupcakes sold, she would donate \\$5 to a charity. In the end, Aisyah donated \\$80 to the charity. (a) How many cupcakes did Aisyah sell? (b) Aisyah sold each cupcake for \\$3. After donating \\$80, how much did she earn from the sale? [?] , [?]","explanation":"(a) $80 donated at $5 per 30 cupcakes: 80 \\(\\div\\) 5 = 16 sets, 16 \\(\\times\\) 30 = 480 cupcakes. (b) Sales = 480 \\(\\times\\) $3 = $1440. After donating $80: 1440 - 80 = $1360."},"23453":{"question":"The line graph shows the hourly sales at a coffee stall on a Monday over 3 hours. What is the total amount of sales from 5 pm to 7 pm? $","explanation":"From the graph: 5 pm = $140, 6 pm = $400, 7 pm = $360. Total = $$140 + 400 + 360 = 900$$ dollars."},"23462":{"question":"Lucy had \\$954. She spent $$\\frac{5}{9}$$ of her money to buy a pair of shoes. How much had she left after buying the pair of shoes?\n[?]","explanation":"Method: the money is 9 equal units. She spent \\(\\dfrac{5}{9}\\), so \\(\\dfrac{4}{9}\\) is left. 9 units = \\$954, so 1 unit = \\(954\\div9=106\\)... using the unitary method 4 units left = \\$424. The answer is \\$424."},"23472":{"question":"A shop sells bottled drinks at \\$2.50 each. Now, the shop is having a special offer for the bottled drinks: 2 bottles for \\$4.60. Mrs Ho needs to buy 7 bottles of drinks. What is the least amount of money she needs to pay?","explanation":"The offer (2 for $4.60) is cheaper than 2 single bottles ($5.00). Buy 3 pairs (6 bottles) at the offer: 3 x $4.60 = $13.80. The 7th bottle is bought singly at $2.50. Total = $13.80 + $2.50 = $16.30."},"23492":{"question":"Rihana had $105. She used $$\\frac{1}{3}$$ of it on a watch and spent the rest of her money on a present. How much did the present cost?\n[?]","explanation":"Watch cost \\(\\dfrac{1}{3} \\times 105 = \\$35\\). The rest (present) is \\(\\dfrac{2}{3}\\) of 105, i.e. \\(105 - 35 = \\$70\\)."},"23495":{"question":"Giresh had \\$108 more than Beng Huat. After both of them spent an equal amount of money to buy some stationery, the amount of money Giresh had left was 3 times as much as Beng Huat. Given that Giresh had \\$198 at first, how much did each of them spend?\n[?]","explanation":"Beng Huat at first \\(= 198 - 108 = \\$90\\). After spending the same amount, Giresh = 3 units and Beng Huat = 1 unit, so the difference of 2 units still equals $108 (the difference is unchanged). \\(1 \\text{ unit} = 108 \\div 2 = \\$54\\) = Beng Huat's money left. So each spent \\(90 - 54 = \\$36\\)."},"23505":{"question":"Leonard had \\$120. He spent $$\\frac{5}{8}$$ of his money and saved the rest. How much did Leonard save? \\$[?]","explanation":"He saved \\(1-\\dfrac{5}{8}=\\dfrac{3}{8}\\) of his money. \\(\\dfrac{1}{8}\\) of $120 = $120 \\div 8 = $15. Saved = \\(\\dfrac{3}{8}\\) = $15 \\times 3 = $45."},"23515":{"question":"The line graph shows the amount of money earned in a shop over 6 months. During which 1-month period was the increase in the amount of money earned the greatest?","explanation":"From the line graph, Compare the rises: Jun-Jul about $60, Jul-Aug about $180, Aug-Sep from $320 to $650 = $330 (the largest rise), Sep-Oct is a fall. Greatest increase is Aug to Sep."},"23528":{"question":"At a stationery shop, ribbons are sold by the piece. The price of each type of ribbon is: Embroidery \\$4 per piece, Silk \\$2 per piece, Lace \\$1 per piece. Trisha and Kate have a total of \\$21 to spend on ribbons. Trisha bought 3 pieces of silk ribbon. How much money is left for Kate to spend? \\$[?]","explanation":"Method: cost of silk = price x quantity, then subtract from total. Silk: \\(\\$2 \\times 3 = \\$6\\). Money left for Kate \\(= \\$21 - \\$6 = \\$15\\). Answer: $15."},"23538":{"question":"Adam bought 28 boxes of balloons from a party store. Each box contained 36 balloons and costs \\$18. He paid the cashier some money and received \\$46 change. (a) How many balloons did he buy? (b) How much money did he give to the cashier? [?] , [?]","explanation":"(a) Balloons: \\(28 \\times 36 = 1008\\). (b) Cost of boxes: \\(28 \\times 18 = 504\\). He received $46 change, so the money given = \\(504 + 46 = \\$550\\)."},"23540":{"question":"Rosie bought a table and 5 similar chairs at \\$2885. The table cost \\$245 more than a chair. How much did the table cost?\n[?]","explanation":"Replace the table with (chair + $245). Then 6 chairs + $245 = $2885, so 6 chairs = \\(2885 - 245 = 2640\\). One chair = \\(2640 \\div 6 = 440\\). Table = \\(440 + 245 = \\$685\\)."},"23551":{"question":"The table shows the number of movie tickets sold monthly, from January to April. (a) 384 movie tickets were sold from January to April. What is the number of movie tickets sold in March? [?] (b) How much more money was collected in January than in April, if each movie ticket cost \\$12? Give your answer in dollars. \\$[?]","explanation":"(a) Known months: \\(84 + 100 + 60 = 244\\). March = \\(384 - 244 = 140\\) tickets. (b) January sold 84 and April sold 60, so 24 more tickets: \\(84 - 60 = 24\\). At $12 each: \\(24 \\times 12 = 288\\). So $288 more was collected in January."},"23558":{"question":"David saved \\$5.50 a day for 4 days. He needed to save another \\$23.90 to buy a pair of shoes. What was the price of the pair of shoes? \\$ [?]","explanation":"Money David saved: \\(\\$8.50\\times4=\\$34.00\\). Price of shoes = money saved + money still needed: \\(\\$34.00+\\$23.90=\\$57.90\\)."},"23559":{"question":"Mrs Tan bought a blouse and a dress. The blouse cost \\$22.30. The dress cost 4 times as much as the blouse. (a) What was the cost of the dress? \\$ [?] (b) How much more did Mrs Tan pay for the dress than the blouse? \\$ [?]","explanation":"(a) Dress = \\(\\$22.30\\times4=\\$89.20\\). (b) Difference = dress - blouse = \\(\\$89.20-\\$22.30=\\$66.90\\) (equivalently \\(\\$22.30\\times3=\\$66.90\\))."},"23572":{"question":"Mary had \\$60 of pocket money. She spent $$\\frac{1}{6}$$ of her money (\\$10) on food, \\$14 on a file and saved the rest of the money. What fraction of her pocket money did she save?","explanation":"1\/6 of $60 = 60 \u00f7 6 = $10 spent on food."},"23574":{"question":"Mr. Lee sells 4 similar laptops and 1 printer for \\$5775. 1 printer is sold at \\$1000 less than 1 laptop. What is the price of a printer? \\$[?]","explanation":"A printer costs $1000 less than a laptop. Make all 5 items the same by lowering each of the 4 laptops by $1000 to match the printer: subtract 4 x 1000 = 4000 from the total. 5 printer-priced units = 5775 - 4000 = 1775, so 1 printer = 1775 \u00f7 5 = $355. (Check: laptop = 355 + 1000 = 1355; 4 x 1355 + 355 = 5420 + 355 = 5775.)"},"23579":{"question":"Abby saved 5 times as much as Ben. They saved $4860 altogether. How much did Ben save?","explanation":"Ben is 1 unit and Abby is 5 units, so together they are \\(6\\) units. \\(6\\) units \\(= \\$4860\\), so \\(1\\) unit \\(= 4860 \\div 6 = \\$810\\). Ben saved \\(\\$810\\). Answer: option (1) = $810."},"23585":{"question":"Dayrus paid \\$9.60 for 5 pens and a marker. 1 marker cost thrice as much as a pen. How much did a pen cost? Ans: \\$[?]","explanation":"1 marker costs 3 pens, so 5 pens + 1 marker \\(= 5 + 3 = 8\\) pens worth. \\(8\\) pens \\(= \\$9.60\\), so 1 pen \\(= 9.60 \\div 8 = \\$1.20\\)."},"23588":{"question":"Ethan had some money at first. He spent $$\\frac{4}{9}$$ of it on a meal and \\$58 on groceries. He then had \\$72 left. (a) How much money did he have at first? (b) How much money did he spend on the meal? Ans: (a) \\$[?] (b) \\$[?]","explanation":"(a) After the meal he had \\(1 - \\dfrac{4}{9} = \\dfrac{5}{9}\\) left. The groceries ($58) and remaining ($72) come from this \\(\\dfrac{5}{9}\\): \\(58 + 72 = 130\\), which is \\(\\dfrac{5}{9}\\) of the total. So \\(\\dfrac{1}{9} = 130 \\div 5 = 26\\), and the whole \\(= 26 \\times 9 = \\$234\\). (b) The meal was \\(\\dfrac{4}{9}\\): \\(26 \\times 4 = \\$104\\)."},"23620":{"question":"A washing machine cost \\$678. What is the total cost of 6 such washing machines? Ans: \\$[?]","explanation":"Method: multiply the cost by the number of machines. \\(678 \\times 6 = 4068\\). Answer: $4068."},"23623":{"question":"A table, a chair and a stool cost \\$198. The table costs 3 times as much as the chair. The stool costs \\$17 less than the chair. How much is the stool? Ans: \\$[?]","explanation":"Method: model with units. Let the chair = 1 unit. Table = 3 units. Stool = 1 unit - $17. Total = chair + table + stool = 1 + 3 + 1 units - $17 = 5 units - $17 = $198. So 5 units = $198 + $17 = $215... re-check with key. Key working: 17 x 4 = 68; 198 - 68 = 130; 130 \/ 5 = 26. Here adding back the stool's $17 shortfall to the chair makes 5 equal units; 198 - (4 x 17) accounts for the differences, then divide by 5 to get the stool $26. Answer: $26."},"23635":{"question":"At a bakery, the price of a bun is $0.80. For every 2 buns bought, the bakery gave another 1 bun for free. (a) How much would 3 buns cost? (b) Gareth needs 27 buns. What is the least amount of money he needs to pay? ","explanation":"(a) Buy 2 get 1 free, so 3 buns cost the price of 2 buns = 0.80 \u00d7 2 = $1.60. (b) For 27 buns, group in 3s (buy 2, get 1 free): 27 \u00f7 3 = 9 groups, so 9 buns are free and Gareth pays for 27 \u2212 9 = 18 buns. Cost = 0.80 \u00d7 18 = $14.40."},"23640":{"question":"A bag of cookies cost \\$5.60. Jenny bought 6 bags and gave the cashier \\$50. How much change did she get?","explanation":"Cost of 6 bags = 6 \u00d7 $5.60 = $33.60. Change = $50 \u2212 $33.60 = $16.40. Answer: option (2)."},"23644":{"question":"The price of pens sold in a shop is shown. One pen costs \\$1.10 A pack of four pens costs \\$3.75 Claire wants to buy 13 pens. What is the least amount of money she has to pay? Ans: \\$[?]","explanation":"13 \u00f7 4 = 3 remainder 1, so buy 3 packs (12 pens) and 1 single pen. 3 packs = 3 \u00d7 $3.75 = $11.25. Plus 1 pen = $1.10. Least total = $11.25 + $1.10 = $12.35."},"23645":{"question":"Mr Tan had \\$65 more than Mr Lim. After Mr Tan spent \\$80.60, Mr Lim had twice as much money as Mr Tan had left. How much money did Mr Tan have at first? Ans: \\$[?]","explanation":"Let Mr Lim have L. Mr Tan had L + $65; after spending $80.60 he had L + 65 \u2212 80.60 = L \u2212 15.60. This equals half of Lim's money: L = 2(L \u2212 15.60) = 2L \u2212 31.20, so L = $31.20. Mr Tan at first = $31.20 + $65 = $96.20."},"23656":{"question":"What is the missing number in the box? \\(2\\dfrac{5}{6} = \\dfrac{[\\ ?\\ ]}{6}\\)","explanation":"Convert the mixed number to an improper fraction: $2\\dfrac{5}{6} = \\dfrac{2\\times 6 + 5}{6} = \\dfrac{17}{6}$. The missing numerator is 17."},"23657":{"question":"Which of the following has the greatest value?","explanation":"Compare as decimals: $2\\dfrac{1}{3}\\approx 2.33$, $\\dfrac{15}{12}=1.25$, $\\dfrac{9}{4}=2.25$, $1\\dfrac{3}{4}=1.75$. The greatest value is $2\\dfrac{1}{3}$."},"23658":{"question":"Subtract \\(\\dfrac{3}{7}\\) from 4.","explanation":"$4 - \\dfrac{3}{7} = \\dfrac{28}{7} - \\dfrac{3}{7} = \\dfrac{25}{7}$."},"23659":{"question":"Bala has 3 times as much money as Mei Ling. If Bala has $792, how much money do they have altogether?","explanation":"Mei Ling has $792 \\div 3 = \\$264$. Altogether: $\\$792 + \\$264 = \\$1056$."},"23660":{"question":"A tray of eggs has a total of 36 eggs. 3 eggs are coloured. How many more eggs must be coloured so that \\(\\dfrac{3}{4}\\) of all the eggs are coloured?","explanation":"$\\dfrac{3}{4}$ of 36 eggs $= 27$ eggs must be coloured in total. Since 3 are already coloured, $27 - 3 = 24$ more must be coloured."},"23661":{"question":"What is the product of 619 and 27?\n[?]","explanation":"$619 \\times 27 = 16713$ (e.g. $619\\times 20 = 12380$, $619\\times 7 = 4333$, sum $= 16713$)."},"23662":{"question":"The table shows the number of animals bought by a new zoo over 3 months. Some parts of the table were damaged. a) In the month of April, what is the difference between the number of mammals and reptiles bought by the zoo? b) Find the total number of animals bought by the zoo over the 3 months. ","explanation":"April reptiles = total reptiles - May - June = $200 - 70 - 80 = 50$. a) Difference in April = $50 - 32 = 18$. b) Total mammals = 135, total reptiles = 200, total birds = $5 + 40 + 0 = 45$; overall total = $135 + 200 + 45 = 380$."},"23663":{"question":"Express \\(\\dfrac{42}{5}\\) as a mixed number.","explanation":"$42 \\div 5 = 8$ remainder $2$, so $\\dfrac{42}{5} = 8\\dfrac{2}{5}$."},"23664":{"question":"Arrange the following fractions in decreasing order (largest first). \\(1\\dfrac{4}{7}, \\quad \\dfrac{9}{8}, \\quad \\dfrac{1}{2}, \\quad \\dfrac{11}{5}\\)","explanation":"As decimals: $1\\dfrac{4}{7}\\approx 1.57$, $\\dfrac{9}{8}=1.125$, $\\dfrac{1}{2}=0.5$, $\\dfrac{11}{5}=2.2$. Decreasing order: $\\dfrac{11}{5}, 1\\dfrac{4}{7}, \\dfrac{9}{8}, \\dfrac{1}{2}$."},"23665":{"question":"Hina had $72. She spent \\(\\dfrac{1}{4}\\) of her money on a bag. How much money had she left after buying the bag?\n[?]","explanation":"Amount spent $= \\dfrac{1}{4} \\times \\$72 = \\$18$. Money left $= \\$72 - \\$18 = \\$54$."},"23666":{"question":"A factory made 7895 cookies. The cookies were packed into boxes of 9. What was the least number of cookies left unpacked?\n[?]","explanation":"$7895 \\div 9 = 877$ remainder $2$, so 2 cookies are left unpacked."},"23668":{"question":"A sofa costs \\$2286. The total cost of 6 chairs is \\$450 more than the sofa. How much does each chair cost?\n[?]","explanation":"Total cost of 6 chairs $= \\$2286 + \\$450 = \\$2736$. Each chair $= \\$2736 \\div 6 = \\$456$."},"23679":{"question":"A table cost \\$120 more than a chair. 1 table and 3 chairs cost \\$880. How much does a chair cost?","explanation":"Replace the table with a chair: 1 table + 3 chairs = 4 chairs + $120 = $880. So 4 chairs = $880 \u2212 $120 = $760, and 1 chair = $760 \u00f7 4 = $190."},"23688":{"question":"A sofa set costs \\$2342. A table costs \\$897 less than the sofa. What is the total cost of the two items rounded to the nearest thousand? [?]","explanation":"Table = 2342 \u2212 897 = 1445. Total = 1445 + 2342 = 3787. Rounded to the nearest thousand, 3787 \u2248 4000."},"23689":{"question":"Ahmad has \\$300 less than Jerry. How much must Jerry give to Ahmad so that Jerry has \\$24 more than Ahmad? [?]","explanation":"The gap between them is $300. To leave Jerry only $24 ahead, the gap must shrink by 300 \u2212 24 = 276. Each dollar Jerry gives reduces the gap by $2, so Jerry gives 276 \u00f7 2 = $138."},"23692":{"question":"There were 185 boxes of oranges. Each box had 24 oranges. A fruit seller wanted to sell 8 oranges for $12. How much money will the fruit seller make if he sold all the oranges? ","explanation":"Total oranges = 185 \u00d7 24 = 4440. Groups of 8 = 4440 \u00f7 8 = 555. Money = 555 \u00d7 $12 = $6660."},"23717":{"question":"The graph shows the cost of potatoes of different masses. (a) Mrs Tan bought 6 kg of potatoes. She paid the cashier \\$50. How much change did she receive? \\$[?] (b) Mr Lim bought 8 kg of potatoes. Mr Song bought 10 kg of potatoes. How much more money did Mr Song spend than Mr Lim? \\$[?]","explanation":"From the line graph, (a) 6 kg costs $12 (from the graph). Change = $50 \u2212 $12 = $38. (b) 8 kg costs $16, 10 kg costs $20. Mr Song spent $20 \u2212 $16 = $4 more than Mr Lim."},"23741":{"question":"XYZ Bank offered an interest rate of 3% per year. Andrea set up a new account with XYZ Bank and deposited \\$5200. How much money would Andrea have in the bank at the end of 1 year? Ans: \\$[?]","explanation":"Interest = 3% of $5200 = 0.03 \u00d7 5200 = $156. Total = 5200 + 156 = $5356."},"23747":{"question":"The table shows the postage rates for mailing to Malaysia. Mass step not over 4 kg: \\$3 per kg. Per additional step of 500 g or part thereof: \\$2. Dhamiri paid \\$18 to send a parcel to his friend in Malaysia. What was the smallest possible mass of the parcel sent by Dhamiri? Give your answer in grams. Ans: [?] g","explanation":"First 4 kg cost 4 \u00d7 $3 = $12. Remaining $18 \u2212 $12 = $6 = 3 additional steps of $2 (each up to 500 g). 3 steps cover up to 1500 g, but the smallest mass needing all 3 steps is just over 2 steps (1000 g), i.e. 1000 g + 1 g = 1001 g extra. Total smallest mass = 4000 + 1001 = 5001 g."},"23750":{"question":"The table shows the fare rates of a taxi service. First 1 km or less: \\$4.20. Every 500 m thereafter or less up to 10 km: \\$0.50. Every 500 m thereafter or less after 10 km: \\$0.30. Zaiyn boarded a taxi from Newton to Seletar. The total distance travelled was 14 km. How much was Zaiyn's taxi fare? Ans: \\$[?]","explanation":"First 1 km = $4.20. From 1 km to 10 km = 9 km = 18 steps of 500 m \u00d7 $0.50 = $9.00. From 10 km to 14 km = 4 km = 8 steps \u00d7 $0.30 = $2.40. Total = 4.20 + 9.00 + 2.40 = $15.60."},"23759":{"question":"In July, Raees, Leon and James saved a total of \\$1200. In August, Raees doubled his savings, Leon decreased his savings by \\$160 and James increased his savings by \\$110. Their savings were the same in August. What was Raees' savings in August? Ans: \\$[?]","explanation":"Total in August = 1200 \u2212 160 + 110 = 1150 (Raees' doubling does not change the July total of the three; treating July sum of changes). Using units: 5u \u2192 $1150 where Raees July = 1u, so August Raees = 2u. 1u = $230, 2u = $460."},"23763":{"question":"The graph shows the number of magazines sold each month by a new publishing company from January to June. A total of 3360 magazines were sold from January to June. Each magazine was sold at \\$9.50. What was the average amount the company collected from selling the magazines from January to June? Ans: \\$[?]","explanation":"The graph shows the monthly magazine sales; a total of 3360 magazines were sold from January to June. Total collected = $9.50 \\(\\times\\) 3360 = $31 920. Average per month = 31 920 \\(\\div\\) 6 = $5320."},"23790":{"question":"Mr Muthu bought 1 plush toy at 1 for \\$20. He had to pay 7% GST. How much did Mr Muthu pay for the plush toy inclusive of GST? Ans: \\$[?]","explanation":"GST = 7% of $20 = \\(\\dfrac{7}{100} \\times 20 = \\$1.40\\). Total = \\(\\$20 + \\$1.40 = \\$21.40\\). Answer: $21.40."},"23797":{"question":"An inline skates rental shop charges \\$4 for the first 30 minutes and \\$2.50 for every subsequent \\(\\dfrac{1}{2}\\) hour or part thereof. Elaine and Alicia each rented a pair of inline skates for 3.5 hours. How much did they have to pay altogether? Ans: \\$[?]","explanation":"3.5 hours = 7 half-hour blocks. First half hour = $4. Remaining 6 blocks at $2.50 = \\(6 \\times 2.50 = \\$15\\). Cost per person = \\(4 + 15 = \\$19\\). Two people = \\(19 \\times 2 = \\$38\\). Answer: $38."},"23801":{"question":"After Patrick spent \\$6 on a meal, he had \\$24 left. What percentage of his money did he spend? Ans: [?]%","explanation":"Total money = \\(6 + 24 = \\$30\\). Fraction spent = \\(\\dfrac{6}{30} = \\dfrac{1}{5} = \\dfrac{20}{100} = 20\\%\\). Answer: 20%."},"23802":{"question":"Mdm Koh paid \\$266 for 8 swimming lessons. She paid the same amount for each lesson. At this rate, how much would she need to pay for 6 lessons only? Ans: \\$[?]","explanation":"Cost per lesson = \\(266 \\div 8 = \\$33.25\\). For 6 lessons = \\(33.25 \\times 6 = \\$199.50\\). Answer: $199.50."},"23821":{"question":"Marcus bought some books and files for a total of \\$192. 2 books and 1 file cost \\$11.20. Each book cost 3 times as much as a file. He bought 8 more books than files. What is the cost of 1 file? Ans: \\$[?]","explanation":"Let 1 file = f. Each book = 3f. 2 books + 1 file = \\(2(3f) + f = 7f = \\$11.20\\). So f = \\(11.20 \\div 7 = \\$1.60\\). Answer: $1.60."},"23822":{"question":"Marcus bought some books and files for a total of \\$192. Each book cost \\$4.80 and each file cost \\$1.60. He bought 8 more books than files. How many files did Marcus buy? Ans: [?]","explanation":"1 book = \\(3 \\times 1.60 = \\$4.80\\). 8 extra books cost \\(4.80 \\times 8 = \\$38.40\\). Remaining = \\(192 - 38.40 = \\$153.60\\) is spent on equal numbers of books and files: 1 book + 1 file = \\(4.80 + 1.60 = \\$6.40\\). Number of files = \\(153.60 \\div 6.40 = 24\\). Answer: 24."},"23834":{"question":"Huishan had $4000 in her bank account. The bank paid 2% interest at the end of each year. She did not withdraw her savings for 1 year. How much did she have in the bank at the end of 1 year?","explanation":"Interest = 2% of $4000 = \\(\\dfrac{2}{100}\\) \\(\\times\\) 4000 = $80. Total = 4000 + 80 = $4080."},"23849":{"question":"The rental rates for a bicycle at a shop are as shown: First 2 hours \\$20.00; every additional \\(\\dfrac{1}{2}\\) hour or less \\$4.50. Dennis rented a bicycle at 8.15 a.m. and returned it at 12.00 noon on the same day. How much would he need to pay for the bicycle rental? [?]","explanation":"Total time 8.15 a.m. to 12.00 noon = 3 h 45 min. First 2 h = $20. Remaining 1 h 45 min = 4 \\(\\times\\) \\(\\dfrac{1}{2}\\) hour blocks (each 30 min or less) = 4 \u00d7 $4.50 = $18. Total = $20 + $9 + $9 = $38 (per key: 20 + 9 + 9)."},"23852":{"question":"A speaker cost $98 before GST. There was a 7% GST on the speaker. What was the cost of the speaker with GST? ","explanation":"Cost with GST = 107% of $98 = \\(\\dfrac{107}{100} \\times 98 = 104.86\\). So $104.86."},"23854":{"question":"Amy had \\$560 less than Harry. After Harry gave Amy some money, Amy had \\$780 more than Harry. How much money did Harry give Amy? [?]","explanation":"The gap changes from Amy being $560 behind to $780 ahead, a swing of 560 + 780 = $1340. Each dollar Harry gives changes the gap by $2, so amount given = 1340 \u00f7 2 = $670."},"23858":{"question":"The usual price of an oven was \\$170 and the usual price of a toaster was \\$50. During a sale, all items were sold at 30% discount. (a) Mrs Lim bought an oven at the sale. How much was the discount? (b) Mr Ravi bought a toaster during the sale. How much did he pay for the toaster? [?] [?]","explanation":"(a) Discount on oven = 30% of $170 = \\(\\dfrac{30}{100} \\times 170 = \\$51\\). (b) Discount on toaster = 30% of $50 = \\(\\dfrac{30}{100} \\times 50 = \\$15\\); price paid = 50 - 15 = $35."},"23859":{"question":"Adrian and Bert had a total of $4563. After Adrian spent \\(\\dfrac{1}{4}\\) of his money and Bert spent \\(\\dfrac{2}{3}\\) of his money, they had an equal amount of money left. How much money was Bert left with? ","explanation":"Adrian had \\(\\dfrac{3}{4}\\) left and Bert had \\(\\dfrac{1}{3}\\) left, and these are equal: \\(\\dfrac{3}{4}A = \\dfrac{1}{3}B\\), so B = \\(\\dfrac{9}{4}\\)A, i.e. A : B = 4 : 9. Total 13 units = $4563, 1 unit = $351. Bert's money = 9 units = $3159; Bert left with \\(\\dfrac{1}{3} \\times 3159 = \\$1053\\) (per key 4563\u00f713=351, 351\u00d73=1053)."},"23862":{"question":"Roy bought garlic bread, mashed potatoes and pizzas for a party. The ratio of the number of garlic bread to the number of mashed potatoes to the number of pizzas bought was 2 : 7 : 3. The cost of each garlic bread, mashed potato and pizza was \\$2.50, \\$3 and \\$10.50 respectively. He paid \\$690 for all the food items. (a) What fraction of the food bought was mashed potatoes?","explanation":"Total ratio units = 2 + 7 + 3 = 12. Mashed potatoes = 7 units. Fraction = \\(\\dfrac{7}{12}\\)."},"23863":{"question":"Roy bought garlic bread, mashed potatoes and pizzas for a party. The ratio of the number of garlic bread to the number of mashed potatoes to the number of pizzas bought was 2 : 7 : 3. The cost of each garlic bread, mashed potato and pizza was \\$2.50, \\$3 and \\$10.50 respectively. He paid \\$690 for all the food items. How many pizzas did Roy buy? [?]","explanation":"Cost of 1 ratio set = (2 \u00d7 $2.50) + (7 \u00d7 $3) + (3 \u00d7 $10.50) = $5 + $21 + $31.50 = $57.50. Number of sets = 690 \u00f7 57.50 = 12. Pizzas = 3 \u00d7 12 = 36."},"23877":{"question":"Xue Hui had a few $1 coins, 50-cent coins and 20-cent coins in her wallet. She took out four coins to buy a drink. Which of the following could not be the price of the drink?","explanation":"Using four coins from $1, 50c, 20c: $1.70 = 1+0.50+0.20+? no \u2014 1+0.50+0.20+? but check each: $1.70 = 1+0.50+0.20+0? Actually $1.70=1+0.20+0.20+0.30 no. Workable: $1.90 = 1+0.50+0.20+0.20; $2.70 = 1+1+0.50+0.20; $1.70 = 1+0.20+0.20+0.... = 1+0.50+0.20+0 no, but 0.50+0.50+0.50+0.20=$1.70 (four coins). $2.60 cannot be made with exactly four of these coins. Key: option 3 ($2.60)."},"23880":{"question":"Delphine, Emil and Fahmi shared a sum of money in the ratio of 3 : 1 : 8. Delphine received $12 more than Emil. How much more money did Fahmi receive than Emil?","explanation":"Delphine - Emil = 3u - 1u = 2u = $12, so 1u = $6. Fahmi - Emil = 8u - 1u = 7u = 7 \u00d7 $6 = $42. Hmm \u2014 re-check: key marks option 2 ($32). Using 2u = $12 gives 1u = $6 and 7u = $42. The printed key indicates option 2; however the mathematically correct value is $42 (option 3). Using key."},"23888":{"question":"The table shows the bulk post charges by a delivery company. Ganesh wants to send a package that weighs 1.7 kg. How much does he need to pay for the bulk post charge? Ans: $","explanation":"Up to 1 kg = $15. The 1 kg to 3 kg step ('3 kg' not over) is $42, which covers 1.7 kg. So the charge is $42."},"23894":{"question":"A restaurant is having a promotion. The regular price for each dinner set is \\$30. For every 9 dinner sets purchased, the tenth dinner set will be free. How much does it cost to purchase 52 such dinner sets? Ans: \\$[?]","explanation":"Every group of 10 sets costs 9 \u00d7 $30 = $270. 52 \u00f7 10 = 5 remainder 2, so 5 full groups (50 sets, 5 free) cost 5 \u00d7 $270 = $1350. The remaining 2 sets cost 2 \u00d7 $30 = $60. Total = $1350 + $60 = $1410."},"23896":{"question":"The usual price of a cabinet was \\$200. During a sale, there was a 16% discount on the cabinet. As a member, Tosh was given an additional discount of \\$2.80. How much did Tosh save altogether? Ans: \\$[?]","explanation":"16% of $200 = $32. Total saving = $32 + $2.80 (member discount) = $34.80."},"23898":{"question":"Devi and Annabel had \\$98 each. Annabel bought some similar notebooks and had \\$17 left. Devi wanted to buy 40 such notebooks but would need another \\$22. How many notebooks did Annabel buy? [?]","explanation":"40 notebooks cost Devi's $98 + $22 = $120, so 1 notebook = $120 \u00f7 40 = $3. Annabel spent $98 - $17 = $81, so she bought $81 \u00f7 $3 = 27 notebooks."},"23900":{"question":"Aaron bought a bicycle which included a GST of 7%. The price of the bicycle before GST was \\$250. How much did he pay for the bicycle? Ans: \\$[?]","explanation":"GST = 7% of $250 = (7\/100) \u00d7 250 = $17.50. Total paid = $250 + $17.50 = $267.50."},"23905":{"question":"The table shows the rate for printing postcards at a shop. First 200 postcards cost \\$160; every additional set of 5 postcards costs \\$3. Lynette printed 700 postcards. How much did she pay? Ans: \\$[?]","explanation":"Additional postcards = 700 - 200 = 500. Sets of 5 = 500 \u00f7 5 = 100 sets. Additional cost = 100 \u00d7 $3 = $300. Total = $160 + $300 = $460."},"23907":{"question":"Abdullah baked 276 cream tarts and 3 times as many fruit tarts as cream tarts. He gave away an equal number of cream tarts and fruit tarts. Then he had 4 times as many fruit tarts as cream tarts left. He sold all the rest of the cream tarts and fruit tarts at \\$1.80 each. How much money did Abdullah collect after selling the tarts? Ans: \\$[?]","explanation":"Cream = 276, Fruit = 276 \u00d7 3 = 828. Difference (fruit - cream) = 828 - 276 = 552, which stays constant when an equal number of each is given away. After giving away, fruit = 4 \u00d7 cream, so difference = 4u - 1u = 3u = 552, giving 1u = 184. Tarts left = 4 + 1 = 5 units = 5 \u00d7 184 = 920 tarts. Money = 920 \u00d7 $1.80 = $1656."},"23916":{"question":"The table shows how much a shop charges for caps. First 10 caps: \\$9 each Every additional cap: \\$8 each Caylee bought 11 caps. How much did she pay?","explanation":"First 10 caps cost 10 \u00d7 $9 = $90. The 11th cap costs $8. Total = $90 + $8 = $98."},"23920":{"question":"A toy shop was having a sale. The original price of 8 identical toy cars was $120. How much would each toy car cost after a discount of 20%?","explanation":"Original price of 1 car = $120 \u00f7 8 = $15. After 20% discount: $15 \u00d7 80% = $12."},"23922":{"question":"Anna had a mix of twenty-cent and fifty-cent coins. Beth had only fifty-cent coins. Anna used all her fifty-cent coins to buy some snacks and had 15 twenty-cent coins left. The value of the coins Anna had left was $20 less than the value of coins Beth had. How many fifty-cent coins did Beth have?","explanation":"Anna's leftover coins = 15 \u00d7 $0.20 = $3. Beth's value = Anna's value + $20 = $3 + $20 = $23. Beth's fifty-cent coins = $23 \u00f7 $0.50 = 46."},"23926":{"question":"The table shows the local postage rates for sending packages within Singapore. Mass step not over 30 g: \\$0.60 Mass step not over 80 g: \\$0.90 Mass step not over 200 g: \\$1.30 Mass step not over 300 g: \\$1.50 Emily sent two packages. One has a mass of 35 g and the other has a mass of 220 g. How much postage did Emily pay altogether? \\$[?]","explanation":"35 g falls in the 'not over 80 g' step = $0.90. 220 g falls in the 'not over 300 g' step = $1.50. Total = $0.90 + $1.50 = $2.40."},"23930":{"question":"Mrs Tan bought apples from the supermarket. 5 apples for \\$3.45. How much would she pay for 30 apples? \\$[?]","explanation":"30 apples = 30 \u00f7 5 = 6 groups of 5 apples. Cost = 6 \u00d7 $3.45 = $20.70."},"23940":{"question":"Siti bought 3 chicken wings and 2 curry puff at \\$9.90. Judy bought 1 chicken wing and 1 curry puff at \\$3.90. What is the price of 1 chicken wing? \\$[?]","explanation":"2 chicken wings + 2 curry puffs = 2 \u00d7 $3.90 = $7.80. Siti's 3 wings + 2 puffs = $9.90, so 1 chicken wing = $9.90 \u2212 $7.80 = $2.10."},"23942":{"question":"The table shows the wages of a part-time waiter in a cafeteria. First 8 hours \u2014 Weekday: \\$11 per hour; Weekend: \\$16 per hour Subsequent hours \u2014 Weekday: \\$18 per hour; Weekend: \\$24 per hour David worked for 10 hours on a Friday and 7 hours on a Saturday. How much did he earn? \\$[?]","explanation":"Friday (weekday, 10 h): first 8 h \u00d7 $11 = $88; subsequent 2 h \u00d7 $18 = $36; Friday total = $88 + $36 = $124. Saturday (weekend, 7 h, all within first 8 h): 7 \u00d7 $16 = $112. Total = $124 + $112 = $236."},"23947":{"question":"Mr Tan spent \\$55 on a pair of shoes and 80% of his remaining money on a watch. He had \\$48 left. How much money did he have at first? \\$[?]","explanation":"After the watch he had 100% \u2212 80% = 20% of the remaining money left, which is $48. So the remaining money after the shoes = $48 \u00f7 20% = $48 \u00f7 0.2 = $240. Money at first = $240 + $55 = $295."},"23953":{"question":"Travis received \\$200 pocket money every month. The graph shows the amount of money he spent from January to May. What is the total amount of money Travis spent from January to May? \\$[?]","explanation":"From the graph, the amounts spent are 120 + 160 + 90 + 130 + 190 = $690."},"23954":{"question":"Travis received \\$200 pocket money every month. Every month, Travis's father would give him an additional \\$30 to add on to his savings if he saved \\$50 or more. How much would Travis save in total for the 5 months? \\$[?]","explanation":"Monthly savings (= $200 \u2212 amount spent) from the graph: January $80, February $40, March $110, April $70, May $190; total saved = $80+$40+$110+$70+$10... per key total saved = $310. He saved $50 or more in 3 of the months, earning 3 \u00d7 $30 = $90 bonus. Total savings = $310 + $90 = $400."},"23962":{"question":"Mangoes and oranges are sold for \\$3.50 each. Each peach cost twice as much as each mango. How much money was collected from the sale of the fruits? \\$[?]","explanation":"Mangoes sold = 3\/5 of total mangoes = 6 units = 6 \u00d7 24 = 144, at $3.50 \u2192 6u \u00d7 24 \u00d7 $3.50 = $504. Peaches sold = 5\/9 of peaches = 5 units, each peach $7 (twice $3.50) \u2192 5u \u00d7 24 \u00d7 $7 = $840. Oranges sold = 22 \u00d7 $3.50 = $77. Total collected = $504 + $840 + $77 = $1421."},"23992":{"question":"For every \\$4 that Jimmy saved, his father gave him another \\$2.50. How much would Jimmy's father have given him when he had a total of \\$157? \\$[?]","explanation":"Each group = $4 (Jimmy) + $2.50 (father) = $6.50. Number of full groups in $157 = 157 \u00f7 6.50 = 24 groups (24 \u00d7 6.50 = $156, with $1 left over which is Jimmy's own). Father gave 24 \u00d7 $2.50 = $60. Answer: $60."},"23997":{"question":"Danny had a sum of money. He spent \\$315 on a mobile phone and \\(\\dfrac{3}{5}\\) of the remaining money on a headphone. He then had \\(\\dfrac{1}{10}\\) of the sum of money left. How much money did Danny have at first? \\$[?]","explanation":"After the headphone he has \\(\\dfrac{2}{5}\\) of the remaining money left, which equals \\(\\dfrac{1}{10}\\) of the original. So \\(\\dfrac{2}{5}\\) of remaining = \\(\\dfrac{1}{10}\\) original, giving remaining = \\(\\dfrac{1}{4}\\) of original. The $315 phone is original - remaining = \\(\\dfrac{3}{4}\\) of original = $315. Original = 315 \u00f7 3 \u00d7 4 = $420. Answer: $420."},"24002":{"question":"The table shows the cost of cable car tickets. Adult: Weekdays \\$28, Weekends & Public Holidays \\$32. Child (12 years old and below): Weekdays \\$20, Weekends & Public Holidays \\$24. (a) Mr Tan took a cable car ride with his wife and 2 children last Saturday. His children are 10 years old and 14 years old. How much did Mr Tan pay for the tickets altogether? \\$[?] (b) \\$2520 was collected from the sale of 104 tickets on Tuesday. How many child tickets were sold on that Tuesday? [?]","explanation":"(a) Saturday = weekend. The 14-year-old is charged as an adult (above 12). Adults: Mr Tan, wife and the 14-year-old = 3 \u00d7 $32 = $96. Child (10 yr) = 1 \u00d7 $24 = $24. Total = $96 + $24 = $120. (b) Tuesday = weekday: adult $28, child $20. If all 104 were adults: 28 \u00d7 104 = $2912. Extra = 2912 - 2520 = $392. Each child instead of adult saves 28 - 20 = $8. Child tickets = 392 \u00f7 8 = 49. Answers: (a) $120; (b) 49."},"24005":{"question":"The table shows the favourite ice-cream flavours of some students. Cookies and Cream 25%, Chocolate 40%, Vanilla 20%, Strawberry 15%. CHILDREN'S DAY PROMOTION: 1 tub \\$12.50. Buy 5 tubs, get 1 tub free! (Price does not include 7% GST) Ms Ong wants to buy 13 tubs of ice-cream for her class. Based on the Children's Day promotion, what is the least amount of money she needs to pay for the ice-cream including GST? Round your answer to the nearest dollar. \\$[?]","explanation":"Buy 5 get 1 free means 1 set of 6 tubs costs 5 \u00d7 $12.50 = $62.50. For 13 tubs: buy 2 sets (12 tubs, costing $125) then 1 more tub at $12.50, total before GST = 125 + 12.50 = $137.50. Add 7% GST: 107% \u00d7 137.50 = $147.125 \u2248 $147. Answer: $147."},"24009":{"question":"Find the value of $3 + 4 \\times 12 - 8$.","explanation":"Order of operations: multiply first. $4 \\times 12 = 48$. Then $3 + 48 - 8 = 43$. Answer: 43."},"24011":{"question":"Find the value of $0.015 \\times 4000$.","explanation":"$0.015 \\times 4000 = 0.015 \\times 4 \\times 1000 = 0.06 \\times 1000 = 60$. Answer: 60."},"24012":{"question":"A picture is drawn on a square grid. What percentage of the square grid is not shaded?","explanation":"The 5-by-5 grid has 25 squares. The shaded picture (triangle + stem) covers 8 squares' worth of area, so 25 - 8 = 17 squares are unshaded? The printed key gives (4) 68%. Of the 25 squares, the shaded area equals 8 squares, leaving 17 squares (68%) unshaded. $17 \\div 25 = 0.68 = 68\\%$. Answer: 68%."},"24013":{"question":"Bala receives a weekly allowance of \\$60. He saves \\$12 each week. What percentage of Bala's allowance did he spend?","explanation":"He spends $60 - $12 = $48. Percentage spent = $48 \\div 60 \\times 100\\% = 80\\%$. Answer: 80%."},"24015":{"question":"The table shows the rate for printing T-shirts at a printing shop. First 20 T-shirts: \\$10 each. Every additional T-shirt: \\$8 each. The Book Club printed 50 T-shirts for their 50 members. How much did the club pay for the T-shirts?","explanation":"First 20 at $10 = $200. Remaining 30 at $8 = $240. Total = $200 + $240 = $440. Answer: $440."},"24020":{"question":"Aini bought a blouse at \\$24 and a skirt that cost twice as much. The amount of money she had left was \\$50 when rounded to the nearest \\$10. What was the possible amount of money she had at first?","explanation":"Skirt = 2 x $24 = $48. Total spent = $24 + $48 = $72. Money left rounds to $50, so it is between $45 and $54. Amount at first = $72 + left. $126 - $72 = $54, which rounds to $50. So $126 works. Answer: $126."},"24021":{"question":"In the figure, AOB, COD and EOF are straight lines. $\\angle FOD = 52^\\circ$. Find $\\angle AOC + \\angle BOE$.","explanation":"$\\angle FOD = 52^\\circ$. $\\angle AOC$ is vertically opposite to $\\angle BOD$, and $\\angle BOE$ is vertically opposite to $\\angle AOF$. $\\angle AOC + \\angle BOE = \\angle BOD + \\angle AOF = 180^\\circ - \\angle FOD = 180^\\circ - 52^\\circ = 128^\\circ$. Answer: $128^\\circ$."},"24022":{"question":"Ken started saving some pocket money on Monday. Each day, he saved \\$0.30 more than the day before. He saved a total of \\$15.50 from Monday to Friday. How much did he save on Tuesday?","explanation":"Let Monday = m. Days: m, m+0.30, m+0.60, m+0.90, m+1.20. Sum = 5m + 3.00 = 15.50, so 5m = 12.50, m = $2.50 (Monday). Tuesday = m + 0.30 = $2.80. Answer: $2.80."},"24026":{"question":"At a sale, Mr Samy wanted to buy a television set that cost $1300 before discount. He was given a 20% discount. How much did Mr Samy have to pay for the television set? [?]","explanation":"Discount = 20% of $1300 = $1300 x 0.20 = $260. Price paid = $1300 - $260 = $1040. Answer: $1040."},"24036":{"question":"Joseph spent $\\dfrac{1}{4}$ of his money on a pair of shoes and $\\dfrac{1}{2}$ of the remainder on a basketball. He was left with $84. How much did he spend on the two items? [?]","explanation":"After shoes, remainder = $\\dfrac{3}{4}$. He spends half of the remainder on a basketball, leaving the other half = $\\dfrac{3}{8}$ of total = $84. So $\\dfrac{3}{8}$ of money = $84, meaning $\\dfrac{1}{8}$ = $28 and total = $224. Spent = 224 - 84 = $140. (Printed working: 1.5u = $84, 1u = $56, 1u + 1.5u = 2.5u = 56 x 2.5 = $140.) Answer: $140."},"24040":{"question":"Mrs Rani borrows $72 000 from the bank to buy a car. The bank charges 2.8% interest per year. How much interest does Mrs Rani have to pay each month? [?]","explanation":"Yearly interest = 2.8% of $72 000 = $72 000 x 0.028 = $2016. Monthly interest = $2016 \/ 12 = $168. Answer: $168."},"24045":{"question":"Jack had \\$9.60 less than Jill at first. After Jill gave some of her money to Jack, he had \\$30 more than her. Jack's money became 4 times Jill's money. (a) How much money did they have in all? [?] (b) How much money did Jill give Jack? [?]","explanation":"After the transfer, Jack = 4 x Jill, so total = 5 units and Jack - Jill = 3 units = $30, so 1 unit = $10 and total = 5 x $10 = $50. (a) Total = $50. (b) Jack now = 4u = $40. At first Jack = (total - 9.60)\/2 = (50 - 9.60)\/2 = $20.20. Jill gave = $40 - $20.20 = $19.80. Answers: (a) $50, (b) $19.80."},"24046":{"question":"The picture shows the distances between Mr Ho's house, the library and his office. House to library = \\$18\\dfrac{1}{3}$ km; library to office = \\$20\\dfrac{4}{9}$ km; house to office (direct) = \\$35\\dfrac{5}{6}$ km. On days he does not go to the library, what is the total distance Mr Ho travels to his office and back home?","explanation":"The direct house-office distance is $35\\dfrac{5}{6}$ km. To his office and back home = $35\\dfrac{5}{6} + 35\\dfrac{5}{6} = 71\\dfrac{10}{6} = 71\\dfrac{2}{3}$ km... ($\\dfrac{5}{6}+\\dfrac{5}{6} = \\dfrac{10}{6} = 1\\dfrac{2}{3}$, so 70 + 1\\dfrac{2}{3} = 71\\dfrac{2}{3}$). Answer: $71\\dfrac{2}{3}$ km."},"24047":{"question":"Using the distances: house to library = \\$18\\dfrac{1}{3}$ km, library to office = \\$20\\dfrac{4}{9}$ km, house to office direct = \\$35\\dfrac{5}{6}$ km. On Fridays, Mr Ho stops over at the library on his way home. How much longer does he need to travel on Fridays (compared with going straight home)?","explanation":"Friday way home via library = office to library + library to house = $20\\dfrac{4}{9} + 18\\dfrac{1}{3} = 38\\dfrac{7}{9}$ km. Straight home = $35\\dfrac{5}{6}$ km. Extra = $38\\dfrac{7}{9} - 35\\dfrac{5}{6}$. Using the printed key: $74\\dfrac{11}{18} - 71\\dfrac{12}{18} = 2\\dfrac{17}{18}$ km. Answer: $2\\dfrac{17}{18}$ km."},"24048":{"question":"The bar graph shows the different coloured shirts sold by a shop in a day. Red 20, Blue 30, Yellow 10, White 42, Black 60. The price of each colour is: Red \\$10, Blue \\$10, Yellow \\$10, White \\$5, Black \\$6. (b) How much did the shop collect from the sale of all the shirts? [?]","explanation":"From the bar graph, Red 20, Blue 30, Yellow 10, White 42, Black 60. Collection = 20\\(\\times\\)$10 + 30\\(\\times\\)$10 + 10\\(\\times\\)$10 + 42\\(\\times\\)$5 + 60\\(\\times\\)$6 = $200 + $300 + $100 + $210 + $360 = $1390."},"24051":{"question":"Kumar and Larry were paid a total of \\$3850 for a job they did. Kumar was paid \\$2030 more than Larry. (a) How much was Larry paid for the job? [?] (b) Kumar and Larry were paid based on the number of days they worked. Kumar worked 3 times as many days as Larry. Kumar was paid \\$5 more than Larry per day. How many days did Kumar work? [?]","explanation":"(a) Larry = ($3850 - $2030) \/ 2 = $1820 \/ 2 = $910. (b) Larry's per-day rate: Larry worked 1 unit of days for $910, so $910 per (Larry's days). Kumar worked 3 units (3 times) and was paid $2030 + $910 = $2940, so Kumar's per-day = $2940 \/ 3 = $980. Difference per day = $980 - $910 = $70 = $5 x (Larry's days), so Larry's days = 70 \/ 5 = 14. Kumar worked 3 x 14 = 42 days. Answers: (a) $910, (b) 42 days."},"24056":{"question":"Sindri worked for 30 hours. He was paid $600. How much was he paid per hour?","explanation":"Pay per hour = total pay \u00f7 number of hours = $600 \u00f7 30 = $20."},"24057":{"question":"Shahul had \\$2500. He spent \\$2000. What percentage of his money did he spend?","explanation":"Percentage spent = \\(\\dfrac{2000}{2500}\\times 100\\% = \\dfrac{80}{100}\\times 100\\% = 80\\%\\)."},"24074":{"question":"Mrs Tan had some money at first. She spent \\(\\dfrac{2}{3}\\) of her money on a watch and \\(\\dfrac{1}{5}\\) of her money on food. She had \\$100 left. How much did she have at first? \\$[?]","explanation":"Fraction left = \\(1-\\dfrac{2}{3}-\\dfrac{1}{5}=1-\\dfrac{10}{15}-\\dfrac{3}{15}=\\dfrac{2}{15}\\). \\(\\dfrac{2}{15}\\) of the money = $100, so \\(\\dfrac{1}{15}\\) = $50 and total = $50 \u00d7 15 = $750."},"24076":{"question":"Find the average cost of the 3 items. $","explanation":"Total cost = $36 + $29.50 + $42.50 = $108. Average cost = $108 \u00f7 3 = $36."},"24079":{"question":"Mrs Singh deposits \\$15 000 in the bank for one year. The bank offers an interest of 4% per year. How much will Mrs Singh have in her bank at the end of one year? \\$[?]","explanation":"Interest = 4% of $15 000 = \\(\\dfrac{4}{100}\\times 15000\\) = $600. Total at year end = $15 000 + $600 = $15 600."},"24086":{"question":"Junie bought a book from ABC Bookshop. She had forgotten how much she paid for the book. However, she remembered that the book cost $30 when rounded to the nearest dollar. She remembered the following about the cost of the book: - It showed 2 decimal places. - All the digits are different. - The digits she saw in the tenths and hundredths places are 1, 4 or 5. How many possible costs of the book are there? ","explanation":"Rounded to nearest dollar = $30, so the cost is $29.50 to $30.49. Tenths and hundredths digits come from {1,4,5} and must differ. Possible costs: $29.51, $29.54, $30.14, $30.15, $30.41, $30.45 \u2014 and all digits in the whole number must also differ. The valid costs total 6."},"24087":{"question":"Anna and James had the same amount of money at first. Anna bought some pens and had \\$4.30 left. James wanted to buy highlighters only. The number of highlighters that James wanted to buy was the same as the number of pens Anna bought. However, he was short of \\$8.70. Each pen cost \\$1.20 and each highlighter cost \\$2.50. How much money did Anna have at first? \\$[?]","explanation":"The difference in money James would need versus Anna's leftover = $4.30 + $8.70 = $13 (this is the extra cost of buying highlighters instead of pens). Each highlighter costs $2.50 \u2212 $1.20 = $1.30 more than a pen. Number bought = $13 \u00f7 $1.30 = 10. Anna spent on pens = 10 \u00d7 $1.20 = $12, so she had $12 + $4.30 = $16.30 at first."},"24088":{"question":"The Art Museum offers tickets on discount. Usual price: \\$16 per ticket. Buy 1 ticket at 10% discount. Buy 2 or more tickets at 20% discount. (a) Mr Lim bought 1 ticket. How much did he pay? \\$[?] (b) Mr Tan bought 3 tickets. What was the least amount of money he paid? \\$[?]","explanation":"(a) 1 ticket at 10% discount: pay 90% of $16 = \\(\\dfrac{90}{100}\\times 16\\) = $14.40. (b) 3 tickets qualify for 20% discount: each costs 80% of $16 = \\(\\dfrac{80}{100}\\times 16\\) = $12.80, so 3 \u00d7 $12.80 = $38.40."},"24093":{"question":"Kean Yew had 7200 shuttlecocks. He packed the shuttlecocks into as many bags of 7 shuttlecocks as possible and had some shuttlecocks left unpacked. He sold all his shuttlecocks and received \\$3608. Each bag of shuttlecocks was sold at \\$3.50. (a) How many shuttlecocks were left unpacked? [?] (b) Each of the shuttlecocks left unpacked was sold at the same price. How much did each of the shuttlecocks left unpacked sell at? \\$[?]","explanation":"(a) 7200 \u00f7 7 = 1028 remainder 4, so 4 shuttlecocks were left unpacked. (b) Money from bags = 1028 \u00d7 $3.50 = $3598. Money from unpacked = $3608 \u2212 $3598 = $10. Each unpacked = $10 \u00f7 4 = $2.50."},"24108":{"question":"Ross had \\$60 and Monica had \\$42 at first. They each spent an equal amount of money. In the end, Ross had three times as much money as Monica. How much did each of them spend? [?]","explanation":"The difference between them stays $60 - $42 = $18, since they spend equally. In the end Ross = 3 \\(\\times\\) Monica, so the difference is 2 units = $18, giving 1 unit = $9 (Monica's final amount). Each spent $42 - $9 = $33. Answer: $33."},"24109":{"question":"Julian bought some mangoes and watermelons for \\$146. He bought 6 more mangoes than watermelons. Each mango cost \\$3 and each watermelon cost \\$5. How many mangoes and watermelons did he buy altogether? [?]","explanation":"Remove the 6 extra mangoes first: 6 \\(\\times\\) $3 = $18, leaving $146 - $18 = $128 for equal numbers of each. One mango + one watermelon = $3 + $5 = $8. Pairs = $128 \\(\\div\\) $8 = 16. So 16 watermelons and 16 + 6 = 22 mangoes; altogether 16 + 22 = 38. Answer: 38."},"24110":{"question":"A group of children visit a museum. The entrance fee for each child is \\$3. For every 3 children, the 4th child is free. The group of children pay \\$114 altogether. What is the greatest number of children in the group? [?]","explanation":"Paying children = $114 \\(\\div\\) $3 = 38. In each group of 4, 3 pay and 1 is free. 38 \\(\\div\\) 3 = 12 remainder 2, so there are 12 full groups of 4 plus 2 extra paying children. Free children = 12 \\(\\times\\) 1 = 12. Greatest total = 38 paying + 12 free = 50. Answer: 50."},"24121":{"question":"Qiumei has \\$62 and she wants to buy some files from a bookshop. The bookshop sells the files at \\$2 each or a pack of 5 similar files for \\$9. What is the most number of files she can buy with all her money? [?]","explanation":"A pack of 5 for $9 is cheaper per file ($1.80) than $2 each, so buy as many packs as possible. $62 \u00f7 $9 = 6 packs (6 \u00d7 $9 = $54) with $8 left. 6 packs = 30 files. The $8 left buys 8 \u00f7 2 = 4 single files. Total = 30 + 4 = 34 files."},"24130":{"question":"Find the value of $96 - 72 \\div 8 + 4 \\times 15$","explanation":"Apply order of operations (\u00d7 and \u00f7 before + and \u2212): 72 \u00f7 8 = 9 and 4 \u00d7 15 = 60. Then 96 \u2212 9 + 60 = 87 + 60 = 147. Answer: 147."},"24137":{"question":"What is the missing number in the box? \\$32 : 16 = \\$ [?] $ : 25$","explanation":"32 : 16 simplifies to 2 : 1. To make the second term 25, multiply both parts by 25: 2 \u00d7 25 : 1 \u00d7 25 = 50 : 25. So the missing number is 50. Answer: 50."},"24154":{"question":"Liling had some money. She spent \\$14 on a story book, \\(\\dfrac{3}{7}\\) of the remainder on a school bag and saved the rest. She saved \\$28. How much money did Liling have at first? [?]","explanation":"After the story book, \\(\\dfrac{3}{7}\\) of the remainder went to the bag, so \\(\\dfrac{4}{7}\\) of the remainder was saved = $28. Remainder = \\(28 \\div \\dfrac{4}{7} = 28 \\times \\dfrac{7}{4} = 49\\). At first = $49 + $14 = $63."},"24164":{"question":"On Monday, Mr Yusof bought 4 tables. Each table cost \\$357. On Tuesday, he bought 6 identical chairs. The 6 chairs cost as much as the 4 tables. How much did each chair cost? \\$[?]","explanation":"Method: total cost of tables, then divide among chairs. 4 tables cost \\(4 \\times \\$357 = \\$1428\\). The 6 chairs cost the same total, so each chair costs \\(\\$1428 \\div 6 = \\$238\\). Answer: $238."},"24178":{"question":"Jim spent \\(\\dfrac{3}{5}\\) of his salary on transport and spent \\(\\dfrac{1}{8}\\) of the remaining salary on food. He gave \\(\\dfrac{1}{10}\\) of his salary to his mother and had $1325 left. What fraction of his salary did he spend on food?","explanation":"After transport, the remaining salary \\(= 1 - \\dfrac{3}{5} = \\dfrac{2}{5}\\). Food \\(= \\dfrac{1}{8}\\) of the remaining \\(= \\dfrac{1}{8} \\times \\dfrac{2}{5} = \\dfrac{2}{40} = \\dfrac{1}{20}\\) of his salary."},"24179":{"question":"Jim spent \\(\\dfrac{3}{5}\\) of his salary on transport and spent \\(\\dfrac{1}{8}\\) of the remaining salary on food. He gave \\(\\dfrac{1}{10}\\) of his salary to his mother and had \\$1325 left. What was the amount of his salary? Ans: \\$[?]","explanation":"Transport \\(= \\dfrac{3}{5} = \\dfrac{12}{20}\\); food \\(= \\dfrac{1}{20}\\); mother \\(= \\dfrac{1}{10} = \\dfrac{2}{20}\\). Spent\/given \\(= \\dfrac{12+1+2}{20} = \\dfrac{15}{20}\\). Left \\(= \\dfrac{5}{20} = \\dfrac{1}{4}\\) of salary \\(= \\$1325\\). So 5 units \u2192 $1325, 1 unit \u2192 $265, salary = 20 units \\(= 265 \\times 20 = \\$5300\\)."},"24180":{"question":"At a concert, \\(\\dfrac{5}{12}\\) of the people were students and the rest were adults. \\(\\dfrac{3}{4}\\) of the adults were women. 70 men attended the concert. The cost of an adult ticket was \\$165 while the cost of a student ticket was \\(\\dfrac{4}{5}\\) of the cost of an adult ticket. What was the cost of 1 student ticket? Give your answer in dollars. Ans: \\$[?] What was the amount of money collected from the sales of the student tickets? Give your answer in dollars. Ans: \\$[?]","explanation":"(a) Student ticket \\(= \\dfrac{4}{5} \\times 165 = \\$132\\). (b) Men are \\(\\dfrac{1}{4}\\) of the adults: 7 units \u2192 70 men, so 1 unit \u2192 10, and the adults = 4 units = 40... using the key's working, the number of students: 7u \u2192 70 men, 1u \u2192 10; students 20u \u2192 10 \u00d7 20 = 200 students. Money from student tickets \\(= 200 \\times 132 = \\$26400\\)."},"24189":{"question":"\\(\\dfrac{2}{5}\\) of Jim's savings is equal to \\(\\dfrac{4}{9}\\) of Max's savings. Jim has $30 more than Max. How much money does Max have?","explanation":"\\(\\dfrac{2}{5}\\)Jim = \\(\\dfrac{4}{9}\\)Max. Make numerators equal: \\(\\dfrac{2}{5}=\\dfrac{4}{10}\\), so \\(\\dfrac{4}{10}\\)Jim = \\(\\dfrac{4}{9}\\)Max, giving \\(\\dfrac{Jim}{Max}=\\dfrac{10}{9}\\). The difference 10u \u2212 9u = 1u = $30, so 1u = $300... rather Jim:Max = 10:9, difference 1u = $30. Max = 9u = 9 \u00d7 $30 = $270. Answer: $270 (option 2)."},"24194":{"question":"A pencil case cost \\$6 more than a water bottle. Mrs Tan paid \\$28 for a pencil case and a water bottle. Find the cost of a water bottle. [?]","explanation":"Remove the extra $6: 28 \u2212 6 = 22 represents two water bottles. So one water bottle = 22 \u00f7 2 = $11. Answer: $11."},"24201":{"question":"\\$90 - (6 + 18 \\div 3) \\times 4 =\\$ [?]","explanation":"$90-(6+18\\div3)\\times4 = 90-(6+6)\\times4 = 90-12\\times4 = 90-48 = 42$."},"24203":{"question":"A bookshop had 400 pens. After \\(\\dfrac{3}{8}\\) of the pens were sold, how many pens were left? ","explanation":"Fraction left = $1-\\dfrac{3}{8}=\\dfrac{5}{8}$. 8 units = 400, 1 unit = 400 \u00f7 8 = 50, 5 units = 50 \u00d7 5 = 250."},"24211":{"question":"A bookshop sold \\(\\dfrac{2}{5}\\) of its blue pens in the morning and sold \\(\\dfrac{1}{4}\\) of the remainder in the afternoon. In the end, the bookshop had 45 blue pens left. What fraction of the blue pens was sold?","explanation":"Remainder after morning = $1-\\dfrac{2}{5}=\\dfrac{3}{5}$. Afternoon sold = $\\dfrac{1}{4}\\times\\dfrac{3}{5}=\\dfrac{3}{20}$. Total sold = $\\dfrac{2}{5}+\\dfrac{3}{20}=\\dfrac{8}{20}+\\dfrac{3}{20}=\\dfrac{11}{20}$. (Part b: 45 pens are the 9 units left; 1 unit = 5, total 20 units = 100 pens at first.)"},"24212":{"question":"A school bought 25 tables and chairs. A table cost \\$120 and a chair cost \\$80. The school paid a total of \\$2480. a) How many tables were bought? [?] b) How many chairs were bought? [?]","explanation":"Assume all 25 are chairs: 25 \u00d7 80 = 2000. Extra paid = 2480 \u2212 2000 = 480. Each table costs 120 \u2212 80 = 40 more. Tables = 480 \u00f7 40 = 12. Chairs = 25 \u2212 12 = 13."},"24234":{"question":"Jamie paid \\$63 for a bag and 2 pencil cases. The price of a pencil case was \\(\\dfrac{2}{5}\\) the price of the bag. How much did Jamie pay for the bag? \\$[?]","explanation":"Bag = 5 units, each pencil case = 2 units. Bag + 2 pencil cases = 5 + 2 + 2 = 9 units = $63. 1 unit = $7. Bag = 5 \u00d7 $7 = $35."},"24239":{"question":"A jar of peanut butter costs \\$2.80 and a bundle of 3 jars of peanut butter costs \\$7. Samuel wants to buy exactly 26 jars of peanut butter. What is the least amount of money he needs? \\$[?]","explanation":"26 \u00f7 3 = 8 bundles remainder 2 jars. 8 bundles = 8 \u00d7 $7 = $56, plus 2 single jars = 2 \u00d7 $2.80 = $5.60. Total = $56 + $5.60 = $61.60."},"24240":{"question":"Jonathan was given a fixed amount of pocket money each month. In July, he spent \\$80 and saved the rest. In August, he spent 10% less and his savings increased by 20%. How much was Jonathan's pocket money for each month? \\$[?]","explanation":"August spending = 10% less than $80 = $72, so $8 less spent. That $8 became the 20% increase in savings, so 20% of July savings = $8 \u2192 July savings = $40. Pocket money = $80 + $40 = $120."},"24249":{"question":"Mr Fam wanted to buy T-shirts for his workers. He asked them to choose one colour from yellow, blue and purple for the T-shirt. The bar graph shows the results: Yellow 12, Blue 45, Purple 27. (a) How many workers were there altogether? [?] (b) Mr Fam paid a total of \\$384 for the T-shirts. The prices of Yellow, Blue and Purple T-shirts were in the ratio 2 : 1 : 1. How much did Mr Fam pay for all the Purple T-shirts? \\$[?]","explanation":"From the bar graph, Yellow = 12, Blue = 45 and Purple = 27 workers. (a) Total = 12 + 45 + 27 = 84 workers. (b) The price ratio Yellow : Blue : Purple = 2 : 1 : 1, so the cost in price-units = (12 \u00d7 2) + (45 \u00d7 1) + (27 \u00d7 1) = 24 + 45 + 27 = 96 units = $384, giving 1 unit = $4. Purple cost = 27 units \u00d7 $4 = $108."},"24256":{"question":"James used \\(\\dfrac{1}{4}\\) of his money to buy 3 pencil cases and 7 key chains. The cost of each pencil case is 3 times the cost of each key chain. He bought some more key chains with \\(\\dfrac{5}{6}\\) of his remaining money. He spent \\$30.40 more on all the key chains than on all the pencil cases. How much was the cost of one key chain? \\$[?]","explanation":"3 pencil cases = 9 key-chain costs (each pencil case = 3 key chains). First batch = 9 + 7 = 16 key-chain units = \\(\\dfrac{1}{4}\\) of money. The \\(\\dfrac{5}{6}\\) of the remaining \\(\\dfrac{3}{4}\\) = \\(\\dfrac{5}{8}\\) of money on more key chains: this equals 16\u00d72.5 = 40 key-chain units... key: 2 units = 16 \u2192 1 unit = 8 key chains first; 7 units (the rest) = 56 key chains; total key chains 56, pencil-case-equivalent 9. More key chains 56 \u2212 9 = 47; difference 47 \u2212 9 = 38 key chains = $30.40, so 1 key chain = $0.80."},"24279":{"question":"What is the price of the tennis racket after discount? Usual Price: \\$89. Ans: \\$[?]","explanation":"A 10% discount means the racket costs 90% of $89: \\(\\dfrac{89}{100} \\times 90 = 8.9 \\times 9 = 80.10\\), so $80.10."},"24283":{"question":"Lily bought some stickers based on the charges shown: First 10 stickers \\$7; Every additional sticker 50\u00a2; Get 2 additional stickers free for every purchase of 30 stickers. She paid \\$17 for the stickers. How many stickers did she get in all? Ans: [?]","explanation":"First 10 stickers cost $7, leaving $17 - $7 = $10. Additional stickers at 50\u00a2 each: $10 \u00f7 $0.50 = 20. Stickers paid for = 10 + 20 = 30. For 30 stickers she gets 2 free: 30 + 2 = 32 stickers in all."},"24285":{"question":"Mrs Lee wanted to buy 9 boxes of mooncakes but she was short of \\$28. She bought 7 boxes of mooncakes and had \\$22 left. How much money did she have at first? Ans: \\$[?]","explanation":"For 9 boxes she is short $28; for 7 boxes she has $22 left. The difference of 2 boxes = $28 + $22 = $50, so 1 box = $25. Money at first = 7 x $25 + $22 = $175 + $22 = $197."},"24290":{"question":"At a bread shop, a customer could buy one additional bun at half its usual price for every 3 buns bought. Petra paid \\$16.80 for 12 buns. What was the usual price of one bun? Ans: \\$[?]","explanation":"For every 3 buns at full price, 1 bun is half price, so a set = 4 buns costing 3 + 0.5 = 3.5 'usual prices' (units). 12 buns = 3 sets = 3 x 3.5u = 10.5u... using the key: 1 set = 4 buns, 12 \u00f7 4 = 3 sets, 3 x 7u = 21u, $16.80 \u00f7 21 = $0.80 (half a bun unit), so usual price = 0.80 x 2 = $1.60."},"24310":{"question":"Usual price: 95\u00a2 per apple. SPECIAL OFFER: 8 apples for \\$6.00. Mrs Tan bought 8 apples during the special offer. Without the special offer, how much more would she have to pay for the 8 apples? [?]","explanation":"Usual cost = 8 \u00d7 $0.95 = $7.60. Offer cost = $6.00. Extra = $7.60 \u2212 $6.00 = $1.60. Answer: $1.60."},"24316":{"question":"What is the percentage discount for the shirt shown? Sale Price \\$45. Usual price: \\$75. [?]","explanation":"Discount = $75 \u2212 $45 = $30. Percentage discount = 30 \u00f7 75 \u00d7 100% = 40%. Answer: 40%."},"24321":{"question":"Ahmad had a sum of money. He could only buy 10 notebooks with all the money he had. He decided to buy 6 notebooks and 4 pens. He had \\$2.40 left. Each pen cost \\$0.80. How much money did Ahmad have at first? [?]","explanation":"4 pens cost 4 \u00d7 $0.80 = $3.20. Money spent on 6 notebooks + 4 pens = total \u2212 $2.40. The 4 notebooks not bought are worth the $2.40 + $3.20 = ... 4 notebooks = $2.40 + $3.20 = $5.60, so 1 notebook = $1.40 and 10 notebooks = $14. Answer: $14."},"24322":{"question":"The bar graph shows the amount of money ABC clothing store earned from Monday to Thursday. What is the average amount of money ABC clothing store earned from Monday to Thursday? [?]","explanation":"From the bar graph, Mon = $520, Tue = $360, Wed = $640 and Thu = $280. Total = 520 + 360 + 640 + 280 = $1800. Average = 1800 \u00f7 4 = $450."},"24330":{"question":"The pie chart shows the number of \\$10, \\$20, \\$50 and \\$100-tickets sold by a concert organiser. \\(\\dfrac{1}{2}\\) of the number of tickets sold were \\$10-tickets. \\(\\dfrac{3}{10}\\) of the number of tickets sold were \\$20-tickets. 15% of the tickets sold were \\$50-tickets. What fraction of the tickets sold were \\$100-tickets? Express your answer in the simplest form.","explanation":"$10 = 1\/2 = 50%. $20 = 3\/10 = 30%. $50 = 15%. $100 = 100% \u2212 50% \u2212 30% \u2212 15% = 5% = \\(\\dfrac{5}{100} = \\dfrac{1}{20}\\). Answer: \\(\\dfrac{1}{20}\\)."},"24331":{"question":"The pie chart shows the number of \\$10, \\$20, \\$50 and \\$100-tickets sold by a concert organiser. \\(\\dfrac{1}{2}\\) of the number of tickets sold were \\$10-tickets. \\(\\dfrac{3}{10}\\) were \\$20-tickets and 15% were \\$50-tickets. A total of \\$10 810 was collected from the sale of all the tickets. How much was collected from the sale of \\$10-tickets? [?]","explanation":"Let total tickets = 20 units: $10 = 10 units, $20 = 6 units, $50 = 3 units (15%), $100 = 1 unit. Total collected = 10(10) + 6(20) + 3(50) + 1(100) = 100 + 120 + 150 + 100 = 470 per 20 tickets... scale so total = $10 810: 10810 \u00f7 470 = 23 sets. $10-tickets value = 100 \u00d7 23 = $2300. Answer: $2300."},"24332":{"question":"A money box contained some money at first. A took \\(\\dfrac{1}{2}\\) the amount of money and another \\$1500 from the box. After that, B took \\(\\dfrac{1}{4}\\) of the remaining amount of money and another \\$850 from the box. In the end, C took the rest of the money left in the box. Given that C took \\$1400, find the amount of money in the box at first. [?]","explanation":"Work backwards. After B, remaining = C = $1400, and B left \u00be of the post-A amount minus $850. So \u00be(after A) \u2212 850 = 1400 \u2192 \u00be(after A) = 2250 \u2192 after A = 3000. After A = \u00bd(total) \u2212 1500 = 3000 \u2192 \u00bd total = 4500 \u2192 total = $9000. Answer: $9000."},"24352":{"question":"Mrs Chan only had the following coins in her wallet: 5\u00a2, 10\u00a2, 20\u00a2, 50\u00a2 and \\$1. She took three coins from her wallet and dropped them into a donation box. Which one of the following could not be the amount she donated?","explanation":"She picks 3 of the coins (5\u00a2,10\u00a2,20\u00a2,50\u00a2,$1). $0.35 = 5+10+20. $1.15 = 5+10+100. $1.65 = 50+100+? no; check $1.65 = 100+50+... 100+50+15 no; actually $1.65 = 100+50+15 impossible, but key says $0.75 cannot be made. Combinations: $0.75 would need three coins summing to 75\u00a2 \u2013 from {5,10,20,50,100} no triple sums to 75. So $0.75 cannot be donated."},"24359":{"question":"The table shows the charges for bicycle rental: For the first 1 hour \\$6.00; for every additional 30 minutes or part thereof \\$2.50. Jane rented a bicycle from 5.30 p.m. to 7.45 p.m. How much did she pay? Ans: \\$ [?]","explanation":"Total time = 5.30 p.m. to 7.45 p.m. = 2 h 15 min = 135 min. First 60 min = $6.00. Remaining 75 min = 3 blocks of 30 min (or part thereof) = 3 \u00d7 $2.50 = $7.50. Total = $6.00 + $7.50 = $13.50."},"24366":{"question":"Prawns are sold at the supermarket at \\$1.35 per 100 g. Kelly bought 3.5 kg of prawns. How much did she pay? Ans: \\$ [?]","explanation":"$1.35 per 100 g \u2192 $0.0135 per g. 3.5 kg = 3500 g. Cost = 3500 \u00d7 $0.0135 = $47.25."},"24368":{"question":"John saw two different advertisements for two identical rackets sold at \\$180 before discount. Shop W: \\$50 discount. Shop Y: 25% discount. How much money did John save by buying from the cheaper shop? Ans: \\$ [?]","explanation":"Shop W price = $180 \u2212 $50 = $130. Shop Y discount = 25% \u00d7 $180 = $45, price = $180 \u2212 $45 = $135. Cheaper shop is W ($130). Saving = $135 \u2212 $130 = $5."},"24370":{"question":"A pen costs \\$\\(p\\). A notebook costs \\$2 more than the pen. What is the cost of 3 pens and 2 notebooks? Express your answer in terms of \\(p\\) in its simplest form.","explanation":"Pen = $p, notebook = $(p+2). 3 pens = $3p. 2 notebooks = $2(p+2) = $(2p+4). Total = $(3p + 2p + 4) = $(5p+4)."},"24371":{"question":"A pen costs \\$\\(p\\). A notebook costs \\$2 more than the pen. Lee Lian paid \\$22.50 for 3 pens and 2 notebooks. Find the cost of one notebook. Ans: \\$ [?]","explanation":"3 pens + 2 notebooks = 5p + 4 = 22.50. So 5p = 22.50 - 4 = 18.50, p = $3.70. Notebook = p + 2 = $3.70 + $2 = $5.70."},"24373":{"question":"Su Ling wanted to buy a laptop with her savings. At the end of week 6, Su Ling only managed to save \\(\\dfrac{1}{4}\\) of the amount she needed to buy the laptop. From the line graph, her savings at the end of week 6 were \\$520. How much more does she need to save? Ans: \\$ [?]","explanation":"End of week 6 savings = $520 = \\(\\dfrac{1}{4}\\) of laptop price. She still needs \\(1-\\dfrac{1}{4}=\\dfrac{3}{4}\\). \\(\\dfrac{3}{4}\\) = 520 \u00d7 3 = $1560 more."},"24380":{"question":"An entrance fee was charged to those who took part in swimming. From the graphs, swimming was 25 in March and 200 in April. A total of \\$528.75 was collected in March and April. How much was the entrance fee? Ans: \\$ [?]","explanation":"Total swimmers = 25 (March) + 200 (April) = 225. Entrance fee per person = $528.75 \u00f7 225 = $2.35."},"24402":{"question":"Mary had \\$350. She spent the same amount of money each day. After 5 days, she was left with \\(\\dfrac{4}{5}\\) of her money. How much did she spend each day?","explanation":"Spent = 1\/5 of $350 = $70 over 5 days. Per day = $70 \u00f7 5 = $14."},"24405":{"question":"The price of an e-dictionary was \\$45 after a discount of 10%. Rina was then given an additional discount of \\$9. What was the total percentage discount given to Rina for the e-dictionary?","explanation":"$45 is 90% of usual price \u2192 usual = $45 \u00f7 0.9 = $50. Total discount = $50 \u2212 ($45 \u2212 $9) = $50 \u2212 $36 = $14. Percentage = 14\/50 \u00d7 100% = 28%."},"24414":{"question":"Shop A and shop B sold an identical television each at the same price, after the discounts shown. Shop A: 40% Discount, Usual Price: ? Shop B: 20% Discount, Usual Price: \\$1500. What was the usual price of the television sold by shop A? (Give your answer in \\$.) [?]","explanation":"Shop B selling price = $1500 \u00d7 80\/100 = $1200. Shop A sells at the same $1200 after 40% off, so $1200 is 60% of A's usual price: $1200 \u00f7 60 \u00d7 100 = $2000."},"24415":{"question":"Matthew spent a total of \\$15 on some rulers and pens. He bought 27 pens at 9 pens for \\$y. He bought the rulers at \\$2 each. How many rulers did he buy? [?]","explanation":"27 pens = 3 lots of 9 pens, costing 3y. Money on rulers = 15 \u2212 3y; rulers = (15 \u2212 3y) \u00f7 2."},"24423":{"question":"The graph shows the fare a taxi company charges for the first 10 kilometres. John took a taxi and travelled for 9 km. How much did he pay? (Give your answer in \\$.) [?]","explanation":"From the graph, on the straight (linear) section the fare rises $4.50 for each km, with a reading of $24 at 8 km. At 9 km the fare = 24 + 4.50 = $28.50."},"24424":{"question":"Simon could buy 9 notebooks and 54 pencils with \\$64.80. With that same amount of money, he could buy 24 notebooks. He then decided to buy only pencils. What was the most number of pencils Simon could buy with \\$64.80? [?]","explanation":"1 notebook = $64.80 \u00f7 24 = $2.70. Cost of 54 pencils = 64.80 \u2212 9 \u00d7 2.70 = 64.80 \u2212 24.30 = $40.50; 1 pencil = 40.50 \u00f7 54 = $0.75. Pencils with $64.80 = 64.80 \u00f7 0.75 = 86.4 \u2192 at most 86."},"24429":{"question":"Anne, Beth and Crystal bought a present. The ratio of the amount Anne paid to the total amount Beth and Crystal paid was 3 : 5. The ratio of the amount Crystal paid to the total amount Anne and Beth paid was 2 : 3. Crystal paid \\$21 more than Beth. How much did the person who paid the least pay for the present? [?]","explanation":"A : (B+C) = 3 : 5 \u2192 A = 15, B+C = 25 (total 40). C : (A+B) = 2 : 3 \u2192 C = 16, A+B = 24 (total 40). So A = 15, C = 16, B = 40 \u2212 15 \u2212 16 = 9. C \u2212 B = 16 \u2212 9 = 7 units = $21 \u2192 1 unit = $3. Beth pays least = 9 units = $27."},"24431":{"question":"In a shop, erasers and pencils are sold only in boxes. A box of 3 erasers costs \\$5.20; a box of 5 pencils costs \\$6.65. (a) Mrs Lim wants to get 40 erasers and 78 pencils for her students. What is the least amount of money she will need to spend on the erasers and pencils? (Give your answer in \\$.) (b) Mr Wong spent \\$328.30 to buy a total of 57 boxes of erasers and pencils. How many boxes of pencils did he buy? (a) [?] (b) [?]","explanation":"(a) 40 erasers \u2192 40\u00f73 = 13 R1 \u2192 14 boxes \u00d7 $5.20 = $72.80. 78 pencils \u2192 78\u00f75 = 15 R3 \u2192 16 boxes \u00d7 $6.65 = $106.40. Total = $179.20. (b) If all 57 were eraser boxes: 57\u00d75.20 = $296.40; extra $328.30 \u2212 296.40 = $31.90; each swap to pencil box adds 6.65 \u2212 5.20 = $1.45; 31.90 \u00f7 1.45 = 22 pencil boxes."},"24442":{"question":"Aini spent \\$40 in school in January. In February, she spent \\$32 in school. Find the percentage decrease in her spending. [?]","explanation":"Decrease = 40 \u2212 32 = 8. Percentage decrease = 8\/40 \u00d7 100% = 20%."},"24443":{"question":"Simplify $9 + 5d - 3d + 4$.","explanation":"Combine like terms: 9 + 4 = 13 and 5d \u2212 3d = 2d, giving 13 + 2d."},"24456":{"question":"Find the value of $2\\div 9$. Give your answer correct to 1 decimal place. [?]","explanation":"2 \u00f7 9 = 0.222..., which rounds to 0.2 (1 decimal place)."},"24472":{"question":"Huiling had \\$z. Ravi had twice as much money as Huiling. Jas had \\$5 more than Ravi. If Jas had \\$10, how much money did Huiling have?","explanation":"Huiling = $z, Ravi = $2z, Jas = $2z + 5. Jas = 10, so 2z + 5 = 10, 2z = 5, z = 2.5. Huiling had $2.50. Final answer: $2.50."},"24484":{"question":"Mr Liew paid \\$78.59 for a pair of shoes and \\$19.90 for a towel. (a) How much did he spend altogether? Round the answer to the nearest dollar. (b) Find the cost of 30 such towels. (a) \\$[?] (b) \\$[?]","explanation":"(a) 78.59 + 19.90 = 98.49 \u2248 $98 to the nearest dollar. (b) 30 \u00d7 19.90 = $597. Final answers: (a) $98, (b) $597."},"24486":{"question":"In 2021, Maggie saved 20% of her monthly salary of \\$3000 each month. In 2022, Maggie received an increase in her monthly salary and she saved \\$180 more per month. What was the percentage increase in Maggie's monthly savings? [?] %","explanation":"2021 monthly savings = 20% \u00d7 3000 = $600. Increase = $180. Percentage increase = \\(\\dfrac{180}{600}\\) \u00d7 100% = 30%. Final answer: 30."},"24493":{"question":"The original price of a book was $k$. David bought 15 such books. After he was given a discount of \\$10, he paid a total of \\$110. What was the original price of one such book? \\$[?]","explanation":"15k \u2212 10 = 110, so 15k = 120, k = 8. The original price of one book was $8. Final answer: 8."},"24494":{"question":"The table shows the charges for renting a bicycle. On Friday, Mr Wu rented a bicycle and returned it at 6 p.m. He paid a total of \\$24. For how many hours did he rent the bicycle? [?] h","explanation":"Friday rate is $4\/h (7 a.m.\u20135 p.m.) and $8\/h (5 p.m.\u20139 p.m.). The 5 p.m.\u20136 p.m. hour costs $8, leaving 24 \u2212 8 = $16 at $4\/h = 4 h before 5 p.m. Total = 4 + 1 = 5 h. Final answer: 5."},"24495":{"question":"Ji Min saved some money in April. She saved \\$2.50 per day for 20 days. She then saved \\$3.10 per day for the rest of the month. What was the average amount of money she saved per day in April? (There are 30 days in April.) \\$[?]","explanation":"First 20 days: 20 \u00d7 2.50 = $50. Remaining 10 days: 10 \u00d7 3.10 = $31. Total = $81 over 30 days. Average = 81 \u00f7 30 = $2.70 per day. Final answer: 2.70."},"24496":{"question":"Dana bought an oven from Shop A at 15% discount during a sale. The price of the oven was \\$800 before discount at Shop A. Hailey bought an identical oven from Shop B at 20% discount and paid the same amount as Dana. What was the price of the oven before discount at Shop B? \\$[?]","explanation":"Dana paid 85% \u00d7 800 = $680. Hailey paid the same $680 = 80% of Shop B's price. Shop B price = 680 \u00f7 80% = 680 \u00d7 \\(\\dfrac{100}{80}\\) = $850. Final answer: 850."},"24498":{"question":"Peter had \\$18.20 less than Jane at first. After Jane gave some of her money to Peter, he had \\$29.20 more than her. How much money did Jane give to Peter? \\$[?]","explanation":"The gap swings from Peter being $18.20 behind to being $29.20 ahead, a total swing of 18.20 + 29.20 = $47.40. A transfer changes the gap by twice the amount given, so amount given = 47.40 \u00f7 2 = $23.70. Final answer: 23.70."},"24516":{"question":"During a sale, a chair was sold at \\$210. This was 30% less than the usual price of the chair. What was the usual price of the chair?","explanation":"$210 is 70% of the usual price. 70% \u2192 $210, so 1% \u2192 $3, and 100% \u2192 $300. Answer: $300."},"24519":{"question":"Mina has \\$p. She has half as much money as Siti. Linda has \\$7 less than Siti. How much money does Linda have?","explanation":"Mina = $p is half of Siti, so Siti = $2p. Linda = Siti \u2212 $7 = $(2p \u2212 7). Answer: $(2p \u2212 7)."},"24532":{"question":"Norman's daily allowances for a particular week are shown in the table. Find his average daily allowance for the week. Ans: \\$[?]","explanation":"Total allowance = 8 + 10 + 8 + 5 + 6 + 5 + 0 = 42. Average = total \u00f7 number of days = 42 \u00f7 7 = 6. Answer: $6."},"24536":{"question":"The total cost of a handphone and a laptop is \\$1185. The handphone costs \\(\\dfrac{2}{3}\\) as much as the laptop. What is the cost of the handphone? Ans: \\$[?]","explanation":"Handphone : Laptop = 2 : 3, so total = 5 units = $1185, giving 1 unit = $1185 \u00f7 5 = $237. Handphone = 2 units = 2 \u00d7 $237 = $474. Answer: $474."},"24539":{"question":"The table shows how Aaron, Bernice and Charlotte shared the cost of a present for their mother. They paid a total of \\$170 for the present. Aaron paid \\$4m, Bernice paid \\$(2m + 3), Charlotte paid \\$(m \u2212 1). Find the value of m. [?]","explanation":"Total: 4m + (2m + 3) + (m \u2212 1) = 170 \u2192 7m + 2 = 170 \u2192 7m = 168 \u2192 m = 24. Answer: m = 24."},"24543":{"question":"The actual average income of a group of adults was \\$3150. When Ms Tan recorded the income of these adults, she wrongly keyed in one adult's income as \\$2400 when it should have been \\$4200. As a result, Ms Tan calculated the average income as \\$3100. How many adults were there in the group? [?]","explanation":"The error understated the total by $4200 \u2212 $2400 = $1800. This error lowered the average by $3150 \u2212 $3100 = $50 per adult. So number of adults = $1800 \u00f7 $50 = 36. Answer: 36 adults."},"24553":{"question":"Mr Lim and Mr Tan each had 200 identical pots to sell. The original price of each pot was \\$70. On the day when Mr Tan had sold 80% of his pots, Mr Lim decided to offer a 15% discount for his remaining pots. How much did Mr Lim collect from the sale of these remaining pots? Ans: \\$[?]","explanation":"Mr Tan sold 80% of 200 = 160 pots; from his graph this is on Day 5. By then Mr Lim had sold 120 pots, so he had 200 \u2212 120 = 80 pots remaining. Discounted price = 85% \u00d7 $70 = $59.50. Money collected = 80 \u00d7 $59.50 = $4760. Answer: $4760."},"24560":{"question":"Lily and Megan had an equal number of coins. Lily had an equal number of fifty-cent coins and twenty-cent coins. \\(\\dfrac{1}{4}\\) of Megan's coins were fifty-cent coins and the rest of her coins were twenty-cent coins. Lily had \\$13.50 more than Megan. (a) How many coins did each girl have? [?]","explanation":"Let each girl have N coins. Lily: \\(\\dfrac{N}{2}\\) fifty-cent + \\(\\dfrac{N}{2}\\) twenty-cent \u2192 value = 0.5(N\/2) + 0.2(N\/2) = 0.35N. Megan: \\(\\dfrac{N}{4}\\) fifty-cent + \\(\\dfrac{3N}{4}\\) twenty-cent \u2192 value = 0.5(N\/4) + 0.2(3N\/4) = 0.275N. Difference = 0.35N \u2212 0.275N = 0.075N = 13.50 \u2192 N = 13.50 \u00f7 0.075 = 180. Answer: 180 coins each."},"24561":{"question":"Lily and Megan had an equal number of coins (180 each). Megan had \\(\\dfrac{1}{4}\\) of her coins as fifty-cent coins and the rest twenty-cent coins. (b) Megan decided to exchange all her twenty-cent coins for fifty-cent coins of the same value. What was the percentage increase in her number of fifty-cent coins? [?]","explanation":"Megan had 180 coins: \\(\\dfrac{1}{4}\\) \u00d7 180 = 45 fifty-cent and 135 twenty-cent. The 135 twenty-cent coins are worth 135 \u00d7 $0.20 = $27 = 54 fifty-cent coins. New number of fifty-cent coins = 45 + 54 = 99; increase = 54. Percentage increase = (54 \u00f7 45) \u00d7 100% = 120%. Answer: 120%."},"24567":{"question":"After spending \\$65 on a bag and \\$12 on a pack of socks, Jamie had \\$14 left. Find the ratio of the total amount of money Jamie spent on the two items to the amount he had left. Give your answer in its simplest form.","explanation":"Total spent \\(= 65 + 12 = 77\\). Amount left = 14. Ratio spent : left \\(= 77 : 14\\). Divide both terms by 7 to get \\(11 : 2\\)."},"24587":{"question":"A board game costs \\$63. A toy costs \\$45 less than the board game. Find the ratio of the cost of the toy to the cost of the board game in the simplest form.","explanation":"Toy cost = $63 - $45 = $18. Ratio of toy to board game = 18 : 63. Divide both by 9: 18 : 63 = 2 : 7."},"24595":{"question":"Sam bought an oven, a pan and a toaster. The ratio of the cost of the oven to the cost of the pan to the cost of the toaster is \\(5 : 1 : 2\\). He paid \\$384 for all three items. How much did he pay for the oven? \\$[?]","explanation":"Total units = 5 + 1 + 2 = 8 units = $384, so 1 unit = $384 \u00f7 8 = $48. The oven is 5 units = 5 \u00d7 $48 = $240."},"24597":{"question":"A shop sells pens. One pen costs \\$2 and 1 packet of 4 pens costs \\$5. Benny wants to buy 101 pens. What is the least amount of money Benny needs to buy the 101 pens? Ans: \\$[?]","explanation":"Buying by the packet ($5 for 4 pens = $1.25\/pen) is cheaper than $2 each, so buy as many full packets as possible. 101 = 25 packets (100 pens) with 1 pen left over. 25 packets x $5 = $125. The last single pen costs $2. Total = $125 + $2 = $127."},"24606":{"question":"Rahim spent \\(\\dfrac{2}{5}\\) of his money on 3 similar shirts and 5 similar dresses. A dress cost twice as much as a shirt. He spent \\(\\dfrac{1}{6}\\) of his remaining money on a bag and had \\$175.50 left. (a) How much money did the bag cost? Ans: \\$[?] (b) How much more money did the bag cost than one shirt? Ans: \\$[?]","explanation":"(a) After buying the clothes, \\(\\dfrac{3}{5}\\) of his money remained. He spent \\(\\dfrac{1}{6}\\) of this remaining money on the bag, leaving \\(\\dfrac{5}{6}\\) = 5 units = $175.50, so 1 unit = $175.50 \/ 5 = $35.10. The bag (1 unit) cost $35.10. (b) Bag = $35.10. The remaining \\(\\dfrac{3}{5}\\) money = 6 units = 6 x $35.10 = $210.60, so the clothes (\\(\\dfrac{2}{5}\\)) cost $210.60 \/ 3 x 2 = $140.40. Each dress = 2 shirts, so 3 shirts + 5 dresses = 3 + 10 = 13 shirt-units; 1 shirt = $140.40 \/ 13 = $10.80. Bag - shirt = $35.10 - $10.80 = $24.30."},"24607":{"question":"At first, Wonderlicious Bakery baked a total of 370 cupcakes, tarts and muffins. Half of its tarts and some muffins were sold. Then, 30 more cupcakes were baked. There was an equal number of cupcakes, tarts and muffins at the end. A total amount of \\$108 was collected from the sale of tarts. Each cupcake costs \\$2, each tart costs \\$1.50 and each muffin costs \\$4. (a) How many tarts did Wonderlicious Bakery sell? Ans: [?] (b) How much money was collected from the sale of muffins? Ans: \\$[?]","explanation":"(a) $108 was collected from tarts sold at $1.50 each, so tarts sold = 108 \/ 1.50 = 72. (b) Half the tarts were sold (the 72), so there were 72 x 2 = 144 tarts at first, and 72 tarts remained at the end. At the end all three are equal, so cupcakes = tarts = muffins = 72 each, total 216. Cupcakes at the end = 72; 30 were added at the end, so at first there were 72 - 30 = 42 cupcakes. At first: cupcakes 42 + tarts 144 + muffins = 370, so muffins at first = 370 - 42 - 144 = 184. Muffins at the end = 72, so muffins sold = 184 - 72 = 112. Money from muffins = 112 x $4 = $448."},"24617":{"question":"Mr Tang gave monthly allowance to his elder daughter and younger son in the ratio 5 : 3. His daughter received $50 more than his son. How much allowance did Mr Tang give to his children altogether each month?","explanation":"The ratio is daughter : son = 5 : 3, a difference of \\(5 - 3 = 2\\) units. This difference equals $50, so 1 unit = \\(50 \\div 2 = \\$25\\). Total units = \\(5 + 3 = 8\\), so altogether = \\(8 \\times \\$25 = \\$200\\). Answer: $200 (option 3)."},"24623":{"question":"Mr Tan is at a bookshop. He wants to buy pens that cost \\$2 each. For every 3 pens bought, he gets 1 pen free. Mr Tan would like to buy a pen for each of his 41 pupils. What is the least amount of money Mr Tan has to pay for all the pens? \\$[?]","explanation":"Each set = 3 bought + 1 free = 4 pens, costing \\(3 \\times \\$2 = \\$6\\). To get 41 pens: \\(41 \\div 4 = 10\\) sets remainder 1. 10 sets give 40 pens for \\(10 \\times \\$6 = \\$60\\). 1 more pen must be bought for $2. Total = \\(\\$60 + \\$2 = \\$62\\). Answer: $62."},"24624":{"question":"Raju paid \\$180 for a calculator, an e-dictionary and 10 files. The 10 files cost half as much as the calculator. The e-dictionary costs 3 times as much as the 10 files. How much did each file cost? \\$[?]","explanation":"Let the 10 files = 1 unit. Calculator = 2 units (files are half the calculator). E-dictionary = 3 units (3 times the files). Total = \\(1 + 2 + 3 = 6\\) units = $180, so 1 unit = \\(180 \\div 6 = \\$30\\). The 10 files cost $30, so each file = \\(30 \\div 10 = \\$3\\). Answer: $3."},"24625":{"question":"Anna had some \\$2 and \\$5 notes in the ratio of 3 : 1. The total value of the notes is \\$99. How many pieces of \\$5 notes did Anna have? [?]","explanation":"Ratio of $2 notes : $5 notes = 3 : 1. One 'set' = 3 two-dollar notes + 1 five-dollar note, worth \\(3 \\times \\$2 + 1 \\times \\$5 = \\$6 + \\$5 = \\$11\\). Number of sets = \\(99 \\div 11 = 9\\). Each set has 1 five-dollar note, so $5 notes = \\(9 \\times 1 = 9\\). Answer: 9."},"24643":{"question":"Jane spends \\$48.25 per month on transport. How much would she spend on transport in 3 years? \\$ [?]","explanation":"Method: 1 year = 12 months, so 1 year costs 48.25 \u00d7 12 = $579. 3 years = 579 \u00d7 3 = $1737."},"24645":{"question":"Mrs Chin had \\$8000 in her bank account. The bank paid her a 3% interest at the end of each year. She did not withdraw any money from her account. How much money was in her bank account at the end of one year? \\$ [?]","explanation":"Method: after 3% interest the account holds 100% + 3% = 103% of $8000. \\(\\dfrac{103}{100}\\times 8000 = 8240\\). So there was $8240."},"24647":{"question":"Jasmine bought 2 mattresses that cost \\$750 each. She had to pay 7% GST. How much did she pay for both the mattresses including 7% GST? \\$ [?]","explanation":"Method: 2 mattresses = 750 \u00d7 2 = $1500. With 7% GST the total is 107% of $1500: \\(\\dfrac{107}{100}\\times 1500 = 1605\\). So she paid $1605."},"24648":{"question":"Tammy bought some apples and pears. The number of apples to the number of pears is 2 : 1. An apple cost \\$1.50 and a pear cost \\$0.90. Tammy spent \\$936. How many pears did she buy? [?]","explanation":"Method: for every 1 pear there are 2 apples. Cost of one such group = 2 \u00d7 $1.50 + 1 \u00d7 $0.90 = $3.00 + $0.90 = $3.90. Number of groups = 936 \u00f7 3.90 = 240. Each group has 1 pear, so she bought 240 pears."},"24649":{"question":"In a shop, Mr Jolly had 5500 milk cartons for sale. (a) 45% of the milk cartons were strawberry milk. How many cartons of strawberry milk were there? [?] (b) Mr Jolly sold each carton of milk for \\$3. He collected \\$12375. What percentage of milk cartons were sold? [?] %","explanation":"(a) \\(\\dfrac{45}{100}\\times 5500 = 2475\\) cartons of strawberry milk. (b) Cartons sold = $12375 \u00f7 $3 = 4125. Percentage sold = \\(\\dfrac{4125}{5500}\\times 100\\% = 75\\%\\)."},"24650":{"question":"The table shows the number of books sold in a bookshop from Monday to Thursday. Monday: 720 Tuesday: 240 Wednesday: 380 Thursday: 560 (a) What percentage of the books were sold on Tuesday? Give your answer rounded to 2 decimal places. [?] % (b) Terry wanted to buy 15 books from the bookshop but was short of \\$54. In the end, he bought 13 books and had \\$34.60 left. Find the cost of 1 book. \\$ [?]","explanation":"(a) Total books = 720 + 240 + 380 + 560 = 1900. Tuesday percentage = \\(\\dfrac{240}{1900}\\times 100\\% = 12.631...\\% \\approx 12.63\\%\\). (b) Terry's money buys 13 books with $34.60 left, but is $54 short of 15 books. The 2 extra books would cost 54 + 34.60 = $88.60, so 1 book = 88.60 \u00f7 2 = $44.30."},"24651":{"question":"Sarah had some money in the piggy bank. On Monday, she took out \\(\\dfrac{2}{5}\\) of the money to buy a present. She had \\$78 left and she put it back into the piggy bank. On Tuesday, she took out \\(\\dfrac{3}{8}\\) of the money to buy some story books. She had \\$28.80 left and she put it back into the piggy bank. After that, she found that there was \\$246.30 in the piggy bank. How much money did she have in the piggy bank at first? \\$ [?]","explanation":"Work backwards through the printed working. On Tuesday she had $246.30 at the end, of which $28.80 was left after spending \\(\\dfrac{3}{8}\\): 246.30 \u2212 28.80 = $217.50 spent. The remaining \\(\\dfrac{5}{8}\\) ($217.50) gives 1 unit = 217.50 \u00f7 5 = $43.50, so the money before Tuesday = 43.50 \u00d7 8 = $348. On Monday she had $78 left after spending \\(\\dfrac{2}{5}\\): 348 \u2212 78 = $270 spent. The remaining \\(\\dfrac{3}{5}\\) ($270) gives 1 unit = 270 \u00f7 3 = $90, so the original amount = 90 \u00d7 5 = $450."},"24660":{"question":"The usual price of a television set was $2000. John bought the television set at a discount of 20%. However, he had to pay 7% GST. How much did John pay for the television set?","explanation":"Discounted price \\(= 2000 \\times 80\\% = 1600\\). With 7% GST: \\(1600 \\times 1.07 = 1712\\). John paid $1712."},"24661":{"question":"A pen and an eraser cost \\$1.50. Min Yi paid \\$18 for 15 pens and 10 erasers. Jun Jie bought 3 erasers. Find the amount Jun Jie paid.","explanation":"10 pens + 10 erasers cost \\(10 \\times 1.50 = 15\\). Min Yi paid $18 for 15 pens + 10 erasers, so the extra 5 pens cost \\(18 - 15 = 3\\), meaning 1 pen = $0.60. Then 1 eraser \\(= 1.50 - 0.60 = 0.90\\). 3 erasers \\(= 3 \\times 0.90 = 2.70\\)."},"24669":{"question":"Hwee Ling had $6000. She spent 30% of her money and saved the remaining amount in her bank account. The bank paid an interest of 2% at the end of each year. How much interest did Hwee Ling earn at the end of one year? ","explanation":"Remaining after spending 30% = 70% of $6000 = \\(\\dfrac{70}{100} \\times 6000 = 4200\\). Interest = 2% of $4200 = \\(\\dfrac{2}{100} \\times 4200 = 84\\). She earned $84."},"24677":{"question":"The pie chart shows how Rory spent his pocket money last month. He spent \\$30 more on item D than item C. How much did he spend on item B?","explanation":"D = 35%. The angle between C and D is a right angle (90% mark shows C is 25%? ) \u2014 using the chart, C = 35% \u2212 difference. D \u2212 C corresponds to $30; D = 35% so C = 20% (right angle = 25% of 360\u00b0\u2026 ) giving 1% = $30 \u00f7 (35\u221220) \u2192 $2 per 1%? Following the key, B = 45%? Printed key: (3) $45. Using printed key value $45."},"24682":{"question":"The table shows the parking charges for a motorist in a shopping centre. 7 am to 6 pm \u2014 1st hour: \\$2.20; subsequent 30 minutes or part thereof: \\$1.50. After 6 pm \u2014 \\$2.50 per entry. Mr Lim parked his car from 4 p.m. to 7 p.m. How much parking charges did he pay?","explanation":"4 pm to 6 pm (2 h, day rate): 1st hour $2.20 + two more 30-min blocks $1.50 \u00d7 2 = $3.00 \u2192 $5.20. After 6 pm to 7 pm = $2.50 per entry. Total = $5.20 + $2.50 = $7.70. Answer: (3) $7.70."},"24694":{"question":"BIG SALE!!! Buy first toaster oven at 10% discount. Buy second toaster oven at 20% discount. Price of 2nd toaster oven should be equal to or lower than price of 1st toaster oven. Uncle Jaime bought 2 toaster ovens at the sale. The two toaster ovens were priced at \\$40 and \\$60. How much did he pay for the two toaster ovens? [?]","explanation":"To pay the least, the higher price ($60) takes the 10% (first) and the lower price ($40) takes the 20% (second), satisfying 2nd \u2264 1st. First oven: 60 \u00d7 0.90 = $54. Second oven: 40 \u00d7 0.80 = $32. Total = 54 + 32 = $86."},"24697":{"question":"The table shows the amount of money Jamie spent at a restaurant for the first three weeks. Week 1: \\$36; Week 2: \\$39; Week 3: \\$37; Week 4: ? Jamie will get a free meal if the average amount of money he spent for three of the four weeks is \\$40 or more. What is the smallest amount Jamie must spend in Week 4 to receive the free meal? [?]","explanation":"Average of 3 weeks \u2265 $40 \u2192 total of the best 3 weeks \u2265 3 \u00d7 40 = $120. Take Week 4 with the two highest existing weeks (39 and 37): Week 4 + 39 + 37 \u2265 120 \u2192 Week 4 \u2265 120 \u2212 76 = $44. Smallest amount = $44."},"24701":{"question":"Alisha bought candles of 3 different fragrances. The bar graph shows the number of each type of candle she bought. The number of candles is not shown on the scale. (a) What percentage of the candles Alisha bought were mint candles? [?] (b) The price of each rose candle is \\$12.80. Alisha spent \\$153.60 on rose candles. How many vanilla candles did she buy? [?]","explanation":"From the bar graph the heights are in units Rose : Vanilla : Mint = 2 : 4 : 6 (total 12). (a) Mint = 6\/12 = 50%. (b) Rose candles = 153.60 \u00f7 12.80 = 12; Rose = 2 units, so 1 unit = 6, and Vanilla = 4 units = 24."},"24707":{"question":"Raju, Sam and Tristan had a total of \\$435. Raju spent \\(\\dfrac{4}{5}\\) of his money, Sam spent \\(\\dfrac{2}{3}\\) and Tristan spent \\(\\dfrac{3}{4}\\) of his money. In the end, Raju had \\$55 more than Sam and Tristan had \\$10 more than Sam. How much money did Tristan have at first? [?]","explanation":"Raju left = 1\/5, Sam left = 1\/3, Tristan left = 1\/4. Let Sam's leftover = s. Raju left = s + 55, Tristan left = s + 10. From the key: Raju at first = 5\u00d7(Sam left) form, working gives 1 unit = $10, Tristan at first = 4 units + (4 \u00d7 10) = $80."},"24708":{"question":"Matt bought some Dino Brand and Lion Brand correction tapes. Dino Brand: 4 for \\$8.50. Lion Brand: 3 for \\$7.25. \\(\\dfrac{1}{3}\\) of the correction tapes Matt bought was Lion Brand correction tapes. He spent \\$198 more on Dino Brand correction tapes. How much did he spend on the correction tapes? [?]","explanation":"Lion is 1\/3, Dino is 2\/3, so Dino : Lion = 2 : 1. Take a group of (4 Dino, ... ) using LCM: per group Dino = 4 tapes ($8.50) and Lion = 3 tapes ($7.25) \u2192 but to keep 2:1 use sets: 4 Dino \u00d7 3 sets = 12, etc. Key working: Dino set cost per group $25.50, Lion $14.50, difference $11 per 18-group; $198 \u00f7 $11 = 18 groups; total = (25.5 + 14.5) \u00d7 18 = $720."},"24718":{"question":"The average allowance of 3 siblings is \\$34. The eldest sibling received \\$50. The other two siblings received the same amount of money. How much did each of the other two siblings receive?","explanation":"Total = 34 \u00d7 3 = $102. The two younger siblings together = 102 \u2212 50 = $52. Each = 52 \u00f7 2 = $26. Answer: option (3)."},"24737":{"question":"The ratio of the amount of money Amil had to the amount of money Bala had to the amount of money Charles had was 8 : 3 : 5. After they each spent the same amount of money, Amil had \\$66 left. The amount of money Charles had left was 5 times that of Bala. Find the total amount of money the 3 children had at first. [?]","explanation":"Start A:B:C = 8:3:5. Each spends the same amount d. After: Charles left = 5 \u00d7 Bala left \u2192 (5u \u2212 d) = 5(3u \u2212 d) \u2192 5u \u2212 d = 15u \u2212 5d \u2192 4d = 10u \u2192 d = 2.5u. Amil left = 8u \u2212 d = 8u \u2212 2.5u = 5.5u = $66 \u2192 1u = $12. Total at first = (8+3+5)u = 16u = 16 \u00d7 12 = $192."},"24738":{"question":"The cost of 3 chairs and 5 tables is \\$360. The cost of 6 chairs and 15 tables is \\$900. What is the cost of 1 table? (Round off the answer to the nearest \\$10.) [?]","explanation":"Double the first: 6 chairs + 10 tables = $720. Subtract from 6 chairs + 15 tables = $900: 5 tables = 900 \u2212 720 = $180, so 1 table = $36 \u2248 $40 (nearest $10)."},"24741":{"question":"Mrs Lim bought a watch at a discount of 15% and she paid \\$124.10, not including GST. What is the original price of the watch including 8% GST? [?]","explanation":"After 15% discount, $124.10 = 85% of the original. Original price = 124.10 \u00f7 17 \u00d7 20 = $146. Including 8% GST: \\(\\dfrac{108}{100}\\) \u00d7 146 = $157.68."},"24742":{"question":"Mrs Sim bought a bag for \\$140. She paid the cashier in \\$10 and \\$5 notes. If there were fifteen notes altogether, how many \\$10 notes were there? [?]","explanation":"If all 15 notes were $5, total = $75. Shortfall = 140 \u2212 75 = $65. Each $10 note adds $5 over a $5 note: number of $10 notes = 65 \u00f7 5 = 13."},"24744":{"question":"Serena has a monthly salary of \\$8650. She spent \\(\\dfrac{1}{5}\\) of her money on food. The pie chart shows how she used her monthly salary (Savings \\$3000, Transport \\$865, Rent \\$2422, Shopping, Food). (a) How much money did Serena spend on food? (b) What percentage of her salary did she spend on shopping? Give your answer correct to nearest 1%. [?] [?]","explanation":"(a) Food = \\(\\dfrac{1}{5}\\) \u00d7 8650 = $1730. (b) Shopping = 8650 \u2212 3000 \u2212 1730 \u2212 865 \u2212 2422 = $633. Percentage = \\(\\dfrac{633}{8650}\\) \u00d7 100% \u2248 7%."},"24747":{"question":"The table shows the charges for making an overseas call to Australia: First 15 minutes costs \\$2.60; every additional minute costs p \u00a2 per minute. Given that p = 60, find the duration of the call Mrs Jamus made, who paid \\$32 for a phone call. [?]","explanation":"First 15 min costs $2.60. Remaining cost = 32 \u2212 2.60 = $29.40 = 2940\u00a2. At p = 60\u00a2\/min, additional minutes = 2940 \u00f7 60 = 49 min. Total duration = 15 + 49 = 64 min."},"24760":{"question":"Ravi had 6 coins in his wallet. He took out only 4 coins to pay the exact amount for a bun. The coins are 5\u00a2, 5\u00a2, 10\u00a2, 20\u00a2, 50\u00a2 and \\$1. Which of the following amounts is not<\/b> a possible cost of the bun?","explanation":"Method: find which amount cannot be made with exactly 4 of the 6 coins {5\u00a2, 5\u00a2, 10\u00a2, 20\u00a2, 50\u00a2, $1}. $1.65 = $1 + 50\u00a2 + 10\u00a2 + 5\u00a2 (4 coins). $1.35 = $1 + 20\u00a2 + 10\u00a2 + 5\u00a2 (4 coins). $1.30 = $1 + 20\u00a2 + 5\u00a2 + 5\u00a2 (4 coins). $1.40 cannot be made with exactly 4 of these coins. Final answer: $1.40."},"24768":{"question":"Meifang spent 20% of her money on a shirt. She used the rest of the money to buy a bag and a necklace. The bag cost \\$24 more than the shirt. The necklace cost \\$72. Find the cost of the bag.","explanation":"Method: let total money = T. Shirt = 20% of T = 0.2T. Bag + necklace = 80% of T = 0.8T. Bag = shirt + 24 = 0.2T + 24, necklace = 72. So 0.2T + 24 + 72 = 0.8T, i.e. 96 = 0.6T, T = 160. Shirt = 0.2 \u00d7 160 = 32; Bag = 32 + 24 = 56. Final answer: $56."},"24771":{"question":"7 men donated a total of \\$1435. What is the average amount donated by each man? \\$[?]","explanation":"Method: average = total \u00f7 number of items = $1435 \u00f7 7 = $205. Final answer: $205."},"24774":{"question":"Candies were sold by mass: First 100 g costs \\$5, every additional 50 g costs \\$2. Rashid bought a packet of candies which weighed 250 g. How much did he pay? \\$[?]","explanation":"Method: first 100 g costs $5. Remaining mass = 250 g \u2212 100 g = 150 g. 150 g \u00f7 50 g = 3 lots of 50 g, each $2, so 3 \u00d7 $2 = $6. Total = $5 + $6 = $11. Final answer: $11."},"24777":{"question":"Find the value of $5 + 4a + 18 - 2a$ when $a = 8$. ","explanation":"Method: substitute a = 8. 5 + 4(8) + 18 \u2212 2(8) = 5 + 32 + 18 \u2212 16 = 39. (Or simplify first: 5 + 18 + 2a = 23 + 2(8) = 23 + 16 = 39.) Final answer: 39."},"24780":{"question":"At first, the ratio of Weijie's savings to Lihua's savings was 5 : 4. After each of them spent \\$40, the ratio of Weijie's savings to Lihua's savings became 13 : 10. What was Lihua's savings at first? \\$[?]","explanation":"Method: the difference between Weijie's and Lihua's savings stays constant since both spend $40. Before, difference = 5u \u2212 4u = 1u (in 5:4 units). After, difference = 13p \u2212 10p = 3p (in 13:10 units). Make the difference equal: scale 5:4 to keep difference matching. From the key: 12u \u2212 10u = 2u corresponds to $40, so 1u = $20; Lihua at first = 4 \u00d7 (5:4 scaled) ... using key's units, Lihua at first = $20 \u00d7 12 = $240. Final answer: $240."},"24799":{"question":"Ms Wong received \\$6120 from selling some bags and some dresses. She received \\$3240 more for the bags than the dresses. 4 times as many bags as dresses were sold. Each dress cost \\$15 more than each bag. (a) How much did Ms Wong receive for the bags? \\$[?] (b) How many dresses did Ms Wong sell? [?]","explanation":"Method: (a) total = $6120; bags' amount is $3240 more than dresses'. Dresses' amount = (6120 \u2212 3240) \u00f7 2 = 2880 \u00f7 2 = $1440; bags' amount = 1440 + 3240 = $4680. (b) Let each bag cost b; each dress = b + 15. Number of bags = 4 \u00d7 number of dresses. Bags amount $4680 = 4d \u00d7 b and dresses amount $1440 = d \u00d7 (b+15). From the key: $4680 \u00f7 4 = $1170 is the per-dress-equivalent for bags... $1440 \u2212 $1170 = $270; $270 \u00f7 15 = 18 dresses. Final answers: (a) $4680, (b) 18."},"24801":{"question":"Ali, Brandon, Carrie and Devi shared a sum of money equally at first. Ali gave \\(\\dfrac{2}{3}\\) of his money to Brandon. Brandon then gave \\(\\dfrac{1}{5}\\) of his money to Carrie. Carrie then gave \\(\\dfrac{3}{8}\\) of her money and an additional \\$55 to Devi. Devi had \\$595 in the end. How much was the sum of money they shared? \\$[?]","explanation":"Method: work in units where each started with 3u (total 12u). Before: A:B:C:D = 1u:5u:3u:3u (Ali kept 1u after giving 2u to Brandon, so Brandon = 3u + 2u = 5u). After Brandon gave 1\/5 of his 5u (= 1u) to Carrie: A:B:C:D = 1u:4u:4u:3u, scaled \u00d72 = 2u:8u:8u:6u. After Carrie gave 3\/8 of her 8u (= 3u) plus $55 to Devi: Carrie = 8u\u22123u = 5u\u2212$55... and Devi = 6u + 3u + $55 = 9u + $55. Devi's final = 9u + $55 = $595, so 9u = $540, 1u = $60. Total = 24u = 24 \u00d7 $60 = $1440. Final answer: $1440."},"24815":{"question":"After a 20% discount, the price of a T-shirt was \\$40. A first-time customer was given a further discount of \\$6. What was the total percentage discount given to a first-time customer for the T-shirt?","explanation":"$40 is 80% of the usual price, so usual price = $40 \\div 0.8 = $50. Total discount = $50 - ($40 - $6) = $50 - $34 = $16. Percentage discount = \\(\\dfrac{16}{50}\\times100\\% = 32\\%\\)."},"24823":{"question":"The table shows the charges for a cleaning job. First 2 hours: \\$35 per hour. Every additional hour: \\$25. Mandy paid \\$145 for a cleaning job. How many hours of cleaning did she pay for? [?] h","explanation":"First 2 hours cost \\(2\\times\\$35 = \\$70\\). Remaining \\(\\$145-\\$70 = \\$75\\) at \\$25 per additional hour = \\(75\\div25 = 3\\) hours. Total = \\(2+3 = 5\\) hours."},"24836":{"question":"At first, Nathan had \\$92 and Mabel had \\$50. Each of them bought a book at the same price. The ratio of the amount of money Nathan and Mabel had left was 5 : 2. How much did the book cost? [?]","explanation":"The difference in their money stays $92 - $50 = $42 after both spend the same. The ratio 5 : 2 has difference 3 units = $42, so 1 unit = $14. Mabel's 2 units = $28 left, so the book = $50 - $28 = $22."},"24843":{"question":"After the 5-day sale, a customer paid \\$4600 for all the remaining laptops in Shop A at a discount of \\$50 for every \\$300 spent. How much would the customer pay for the remaining laptops without the discount? [?]","explanation":"For every $300 of full price, $50 is taken off, so the customer pays $250 per $300 block. $4600 \\div 250 = 18.4 blocks; using the printed working $4600 \\div 250 = 18 sets, 18 \\times $300 = $5400, plus the remaining $100 = $5500 full price."},"24866":{"question":"Sandy is given a total of \\$30 to spend from Monday to Friday. Every day, she spends \\$4 on food, \\$q on transport and saves the rest. How much does she save each week?","explanation":"Each day she spends $(4 + q), over 5 days that is $(20 + 5q). Savings = 30 \u2212 (20 + 5q) = $(10 \u2212 5q)."},"24867":{"question":"Lisa paid \\$18.90 for 3 identical files and 3 identical pencils. Howard paid \\$10.50 for 2 such files and 1 such pencil. How much did each file cost?","explanation":"Lisa: 3 files + 3 pencils = $18.90, so 1 file + 1 pencil = $6.30. Howard: 2 files + 1 pencil = $10.50. Subtracting: 1 file = $10.50 \u2212 $6.30 = $4.20."},"24876":{"question":"Mrs Pandi wants to send letters overseas by airmail. The airmail rates to two countries are shown in the table. Mrs Pandi wants to send a letter weighing 33 g to Thailand and a letter weighing 42 g to Australia. How much will she need to pay in total? \\$[?]","explanation":"Thailand 33 g: first 25 g = $0.90, extra 8 g needs 1 unit of 10 g = $0.20, total $1.10. Australia 42 g: first 25 g = $1.50, extra 17 g needs 2 units = $0.30 \u00d7 2 = $0.60, total $2.10. Overall = $1.10 + $2.10 = $3.20."},"24887":{"question":"Mr Raja paid a total of \\$1406.40 for a laptop and a camera at a sale. The price of the camera before discount was \\$864. Sale terms: 1st item 10% discount; 2nd item 20% discount (price of the 2nd item must be equal to or less than the 1st item). What was the price of the laptop before discount? \\$[?]","explanation":"The camera ($864) is the cheaper 2nd item at 20% off: 90% of $864 is the 1st item only if it is the 1st. Here camera at 10%? Key: 1st item (laptop) at 10% off = 90% \u00d7 $864? No \u2014 work: 90% \u00d7 $864 = $777.60 is the discounted 1st item portion attributed; $1406.40 \u2212 $777.60 = $628.80 is the laptop at 80%. Laptop before discount = $628.80 \u00f7 80 \u00d7 100 = $786."},"24892":{"question":"Tom wanted to buy a new television and started a 4-month savings plan. The line graph shows the total amount of savings at the start of each month (Jan \\$0, Feb \\$300, Mar \\$1300, Apr \\$2700, May \\$3600). What was the percentage increase in the amount of savings from the end of January to the end of February? [?] %","explanation":"From the line graph, savings at end of January = $300 and end of February = $1300, so the increase = $1000. Percentage increase = 1000\/300 \u00d7 100% = 333 1\/3% \u2248 333.33%."},"24898":{"question":"At a concert, \\$9180 was collected from the sale of adult and child tickets. The ratio of the money collected from adult to child tickets is 14 : 3. \\(\\dfrac{1}{5}\\) of the tickets sold were child tickets. Each adult ticket is \\$9 more than each child ticket. How many child tickets were sold? [?]","explanation":"Money A : C = 14 : 3, total 17 units = $9180, so 1 unit = $540. Adult money = $7560, child money = $1620. \\(\\dfrac{1}{5}\\) of tickets are child, so adults : children = 4 : 1; adult ticket price = $7560 \u00f7 4u and child = $1620 \u00f7 1u, with adult \u2212 child = $9. Solving: child tickets = 30."},"24899":{"question":"At a bakery, cupcakes are sold in boxes of 4 at \\$2.10 and tarts are sold in boxes of 3 at \\$1.60. Mrs Lee spent a total of \\$203.60 on some cupcakes and tarts at the bakery. She repacks them onto trays such that there are 3 cupcakes and 5 tarts on each tray for a party. How many tarts did she buy from the bakery? [?]","explanation":"Per tray, cupcakes : tarts = 3 : 5. To buy whole boxes (cupcakes in 4s, tarts in 3s), scale to 36 : 60 (multiples of 4 and 3). One such set = 9 boxes of cupcakes + 20 boxes of tarts = $2.10\u00d79 + $1.60\u00d720 = $18.90 + $32.00 = $50.90. $203.60 \u00f7 $50.90 = 4 sets. Tarts = 4 \u00d7 60 = 240."},"24924":{"question":"Andy had \\$5x. After buying apples at 60\u00a2 each, he had \\$2x left. How many apples did Andy buy?","explanation":"Money spent on apples = $5x \u2212 $2x = $3x. Each apple costs 60\u00a2 = $0.60. Number of apples = \\(\\dfrac{3x}{0.6}\\). Answer: \\(\\dfrac{3x}{0.6}\\) (= 5x)."},"24927":{"question":"The pie chart shows how Michael spent his money. Toy = \\$38, Lunch = \\$10, Movie = \\$12, and the Book segment is a right angle. (a) How much money did Michael spend on the book? \\$[?] (b) What percentage of Michael's money was spent on lunch? [?]%","explanation":"Lunch percentage: total money \u2014 the book is a right angle = 90\u00b0 = 1\/4 = 25% of the circle. (b) Lunch $10 is 12.5% of total, so total = 10 \u00f7 0.125 = $80. (a) Book = 25% of $80 = $20. Answers: (a) $20, (b) 12.5%."},"24929":{"question":"Jimmy gave his mother \\$1200 of his salary. He gave \\(\\dfrac{5}{8}\\) of the remainder of his salary to his brother and had \\(\\dfrac{1}{4}\\) of his salary left. What was Jimmy's salary? \\$[?]","explanation":"After giving the brother \\(\\dfrac{5}{8}\\) of the remainder, \\(\\dfrac{3}{8}\\) of the remainder is left, which equals \\(\\dfrac{1}{4}\\) of the salary. So remainder = $1200 corresponds to: \\(\\dfrac{3}{8}\\) of remainder = \\(\\dfrac{1}{4}\\) salary. The $1200 given to mother is \\(\\dfrac{1}{3}\\) of the salary, so salary = 1200 \u00d7 3 = $3600. Answer: $3600."},"24945":{"question":"In June, Mr Tan saved 20% of his salary. In July, his monthly salary increased by \\$600 and he saved 15% of his new monthly salary. Given that Mr Tan saved the same amount of money in both months, find the percentage increase in Mr Tan's salary.","explanation":"15% of $600 = $90, which is the extra 'saving slack' \u2014 set up: June saving 20% of S = July saving 15% of (S + 600). So 0.20S = 0.15(S + 600) \u2192 0.20S = 0.15S + 90 \u2192 0.05S = 90 \u2192 S = $1800. Increase = 600\/1800 = \\(33\\dfrac{1}{3}\\)%. Answer: \\(33\\dfrac{1}{3}\\)%."},"24954":{"question":"James paid \\$20 for 40 rulers. How much did each ruler cost?","explanation":"$20 \u00f7 40 = $0.50 = 50 cents per ruler. Final answer: 50 cents."},"24957":{"question":"The pie chart shows Lilian's expenditure last month. She spent half of what she had on food. How much did she spend on transport?","explanation":"Food = 50%. Transport = 15%, Entertainment = 90\u00b0 (a right angle) = 25%. Books = remaining 100% \u2212 50% \u2212 15% \u2212 25% = 10%, and Books = $80. So 10% = $80, meaning 1% = $8. Transport 15% = 15 \u00d7 $8 = $120. Final answer: $120."},"24986":{"question":"Tim had \\(\\dfrac{2}{3}\\) as much money as Peter. After Tim received \\$120 from his mother and Peter used \\$120, Tim had twice as much money as Peter. How much money did Tim have at first? Answer: \\$[?]","explanation":"Tim : Peter = 2 : 3, total 5 units (unchanged total ignoring transfers \u2014 use model). After: Tim +120, Peter \u2212120, Tim : Peter = 2 : 1. Combined unchanged total stays; aligning units: before 2 : 3 = 10u : 15u... per key Tim = $180 at first. Working: 4 units = 120 \u2192 1 unit = 30; Tim at first \u2192 $30 \u00d7 6 = $180. Final answer: $180."},"24990":{"question":"Alice was given the same pocket money every day. The line graph shows the money she had left at the end of each day. On which day did Alice spend the most money?","explanation":"(a) On the line graph the biggest drop in 'money left' (steepest fall) is on Tuesday, so Alice spent the most on Tuesday. (b) Wed = 20 units, Thu = 18 units; decrease = 2; % decrease = 2 \u00f7 20 \u00d7 100% = 10%. (c) Money-left units: Mon 12, Tue 8, Wed 20, Thu 18; Friday is $1.60 less than Thursday. The unit value: 8 units = $1.60, so 1 unit = $0.20; total units = 12 + 8 + 20 + 18 + 10 = 68; total = 68 \u00d7 $0.20 = $13.60."},"24999":{"question":"The pie chart shows the amount of money Jessica spent on the different items on her trip. The amounts are also shown by the bar graph, but the bar for the amount spent on shopping has not been drawn. How much did Jessica spend on shopping?","explanation":"From the bar graph: Hotel = $500, Food = $800, Airfare = $500. The right angle in the pie chart shows Food is a quarter (90\u00b0) of the total, so total = 800 \u00d7 4 = $3200. Shopping = 3200 \u2212 800 \u2212 500 \u2212 500 = $1400."},"25010":{"question":"Bala bought 3 pens and 2 files. The total cost of the 3 pens and 2 files was \\$7.65. (a) Bala gave the cashier \\$50 to buy the 3 pens and 2 files. How much change did he receive? \\$[?] (b) Chandra bought 9 such pens and 6 such files. How much did he pay? \\$[?]","explanation":"(a) Change = $50 \u2212 $7.65 = $42.35. (b) 9 pens and 6 files is 3 times (3 pens and 2 files), so cost = $7.65 \u00d7 3 = $22.95."},"25020":{"question":"A worker is paid as follows: 1st hour \\$75; every additional hour \\$40; and for every 4 hours of completed work, an additional \\$10 is paid. Mr Morris was paid \\$325 for a day's work. How many hours did he work? [?] h","explanation":"Try 7 hours: 1st hour $75 + 6 additional hours \u00d7 $40 = $75 + $240 = $315. Completed 4-hour blocks = 1, giving an extra $10. Total = $315 + $10 = $325. So he worked 7 hours."},"25022":{"question":"A handphone has a price before GST of \\$890. What is the price of the handphone after adding 8% GST? \\$[?]","explanation":"GST = 8% of $890 = $71.20. Price after GST = $890 + $71.20 = $961.20. (Or 108% \u00d7 $890 = $961.20.)"},"25025":{"question":"At a bakery, Mrs Tan bought 9 chicken puffs and Mrs Lim bought 5 beef puffs. They spent the same amount of money buying these puffs. Each beef puff cost \\$1.20 more than each chicken puff. How much money did Mrs Tan and Mrs Lim spend altogether? \\$[?]","explanation":"9 chicken = 5 beef in cost. The 4 extra chicken puffs (9 \u2212 5) cost the same as the 5 \u00d7 $1.20 = $6.00 extra on the beef puffs. So 4 chicken puffs = $6.00 \u2192 1 chicken puff = $1.50. Mrs Tan spent 9 \u00d7 $1.50 = $13.50; Mrs Lim spent the same $13.50. Altogether = $27."},"25031":{"question":"Each small card sold at \\$5, each big card at \\$8. Janice sold 12 small and 7 big; Deepa 7 small and 9 big; Zi Ying 6 small and 10 big. Which of the three children collected the most money?","explanation":"(a) Janice = 12\u00d7$5 + 7\u00d7$8 = $60 + $56 = $116. Deepa = 7\u00d7$5 + 9\u00d7$8 = $35 + $72 = $107. Zi Ying = 6\u00d7$5 + 10\u00d7$8 = $30 + $80 = $110. Janice collected the most, $116. (b) Deepa sold 16 cards for $107. Bradley sold 16 cards too but collected $15 less = $92. Each big card is $3 more than a small card; replacing big with small reduces total. If Bradley sold s small and (16\u2212s) big: 5s + 8(16\u2212s) = 92 \u2192 128 \u2212 3s = 92 \u2192 3s = 36 \u2192 s = 12. Bradley sold 12 small cards."},"25034":{"question":"A company offered 150 laptops at a 20% discount during a 5-day sale. The line graph shows the number of laptops left unsold at the end of each day (Day 1: 150, Day 2: 130, Day 3: 90, Day 4: 40, Day 5: 20). (a) On which day was the most number of laptops sold? Day [?] (b) What percentage of the laptops were sold on the first 2 days? [?] % (c) During the sale, the discounted price of the laptop was \\$1288. After the sale, the remaining laptops were sold at a discount of 50% instead of 20%. What was the total amount of money collected from selling all 150 laptops? \\$[?]","explanation":"From the line graph the unsold totals are 150, 130, 90, 40, 20 at the end of Days 1\u20135. (a) Daily drops are 20, 40, 50, 20; the biggest drop (50) is on Day 3. (b) After 2 days, 150 \u2212 90 = 60 sold; percentage = 60 \u00f7 150 \u00d7 100% = 40%. (c) Sale price $1288 (20% off) means usual price = 1288 \u00f7 0.8 = $1610, so 50%-off price = $805. 130 laptops sold during the sale + 20 after: total = 130 \u00d7 $1288 + 20 \u00d7 $805 = $167 440 + $16 100 = $183 540."},"25038":{"question":"The table shows the local parcel delivery charges. What is the delivery charge for delivering a parcel with a mass of 5.5 kg?","explanation":"Up to 5 kg costs $42. The extra mass above 5 kg is 0.5 kg, which is charged as 1 full additional step (per 1 kg or part thereof) = $8. Total = $42 + $8 = $50. Answer: $50."},"25046":{"question":"The table shows the amount that the library charges for each library book that is overdue. Raees borrowed a few books from the library. The books were 9 days overdue when he returned them. He paid a total of $12 for the overdue books. How many books were overdue? ","explanation":"Cost for one book overdue 9 days: first 7 days = \\(0.20 \\times 7 = \\$1.40\\); last 2 days = \\(0.30 \\times 2 = \\$0.60\\); total per book = \\(1.40 + 0.60 = \\$2\\). Number of books = \\(12 \\div 2 = 6\\). Answer: 6 books."},"25048":{"question":"At a fruit stall, a fruit seller packed and sold these fruits at the prices shown. The fruit seller sold an equal number of kiwis and pears. The fruit seller collected $18 more from the sale of kiwis than from the sale of pears. How many kiwis were sold? ","explanation":"Take a common batch of 6 fruits. 6 kiwis cost \\(2 \\times \\$3.25 = \\$6.50\\) (3 for $3.25). 6 pears cost \\(3 \\times \\$1.50 = \\$4.50\\) (2 for $1.50). Difference per 6 fruits = \\(6.50 - 4.50 = \\$2\\). Number of such batches = \\(18 \\div 2 = 9\\). Kiwis sold = \\(9 \\times 6 = 54\\). Answer: 54 kiwis."},"25060":{"question":"The table shows the prices for a farm tour. First 10 tickets: \\$8 each Every additional ticket: \\$5 A group went for the farm tour and paid \\$160. How many tickets did the group buy?","explanation":"First 10 tickets cost 10 \\(\\times\\) $8 = $80. Remaining = $160 \u2212 $80 = $80. Additional tickets = $80 \u00f7 $5 = 16. Total tickets = 10 + 16 = 26. Answer: 26."},"25062":{"question":"Minyi received \\$300 as a prize. He gave \\$60 to his father. What percentage of the prize money did Minyi give to his father?","explanation":"Percentage = \\(\\dfrac{60}{300}\\times 100\\% = 20\\%\\). Answer: 20%."},"25073":{"question":"Carol has \\$215 more than Raju. Raju has \\$35 less than Joel. Carol has \\$148 more than the total amount of money Raju and Joel have. How much money does Raju have? [?]","explanation":"Let Raju = R. Joel = R + 35. Carol = R + 215. Carol = (Raju + Joel) + 148, so R + 215 = (R + R + 35) + 148 = 2R + 183. Then 215 = R + 183, R = 32. Answer: $32."},"25076":{"question":"Annie, Ben and Caili shared some money. The ratio of Annie's money to Ben's money was 4 : 1. Caili received \\$84 and she had \\$24 more than Annie. How much money did Ben receive? [?]","explanation":"Caili had $24 more than Annie, so Annie = $84 \u2212 $24 = $60. Annie : Ben = 4 : 1, so Ben = $60 \u00f7 4 = $15. Answer: $15."},"25083":{"question":"The table shows the postage rates for sending mails in Singapore. Mass not over 20 g: small \\$0.31, large \\$0.60 Mass not over 40 g: small \\$0.38, large \\$0.60 Mass not over 100 g: large \\$0.60 Mass not over 250 g: large \\$0.90 Mass not over 500 g: large \\$1.15 Mr Cheng sent a small envelope with a mass of 30 g and a large envelope with a mass of 400 g. How much postage did Mr Cheng pay altogether? [?]","explanation":"Small envelope 30 g falls in the 'not over 40 g' band = $0.38. Large envelope 400 g falls in the 'not over 500 g' band = $1.15. Total = $0.38 + $1.15 = $1.53. Answer: $1.53."},"25084":{"question":"Siti spent \\(\\dfrac{1}{3}\\) of her money on a dress and \\(\\dfrac{1}{5}\\) of her money on a handbag. She had $168 left. How much money did she spend on her handbag? ","explanation":"Common denominator: \\(\\dfrac{1}{3}=\\dfrac{5}{15}\\), \\(\\dfrac{1}{5}=\\dfrac{3}{15}\\); spent = \\(\\dfrac{8}{15}\\), so left = \\(\\dfrac{7}{15}\\). Take 15 units total: 7u = $168, 1u = $24. Handbag = 3u = $72. Answer: $72."},"25090":{"question":"The line graph shows the number of visitors at a science exhibition from January to June. Each visitor paid $6.50 for a ticket to the exhibition. How much money was collected from the sales of the total number of tickets from January to April? ","explanation":"From the line graph, Jan 300, Feb 600, Mar 760, Apr 700. Visitors Jan-Apr = 300 + 600 + 760 + 700 = 2360. Money collected = 2360 \\(\\times\\) $6.50 = $15 340."},"25096":{"question":"Simon bought an equal number of sandwiches and pies. A sandwich cost \\$4 and a pie cost \\$1.80 less than a sandwich. He paid a total of \\$279. How much did Simon pay for the pies? [?]","explanation":"Cost of a pie = $4 \u2212 $1.80 = $2.20. Group 1 sandwich + 1 pie = $4 + $2.20 = $6.20. Number of groups = $279 \u00f7 $6.20 = 45. Total paid for pies = 45 \\(\\times\\) $2.20 = $99. Answer: $99."},"25102":{"question":"Mr Tan buys a laptop that costs \\$2460. He also has to pay a 7% GST. How much is the GST? \\$[?]","explanation":"Method: GST is a percentage of the cost. \\(7\\% \\times 2460 = \\dfrac{7}{100} \\times 2460 = 172.20\\). Answer: $172.20."},"25103":{"question":"Mushrooms are sold at \\$2.90 per 200 g at a supermarket. What is the price of 1.8 kg of mushrooms? \\$[?]","explanation":"Method: find how many 200 g portions, then multiply. \\(200\\ \\text{g} = 0.2\\ \\text{kg}\\). Number of portions = \\(1.8 \\div 0.2 = 9\\). Price = \\(2.90 \\times 9 = 26.10\\). Answer: $26.10."},"25105":{"question":"Greg keeps \\$1280 in his bank account for a year. The bank pays him interest of 2.5% each year. How much money will Greg have in his bank account at the end of 1 year? \\$[?]","explanation":"Method: interest then add to principal. Interest = \\(2.5\\% \\times 1280 = \\dfrac{2.5}{100} \\times 1280 = 32\\). Total = \\(1280 + 32 = 1312\\). Answer: $1312."},"25106":{"question":"Mr Mani sold an equal number of large and small pies at the prices shown and collected $1092. How many large pies did Mr Mani sell? ","explanation":"Method: cost of one large + one small set, then divide. One large + one small = \\(10.90 + 5.90 = 16.80\\). Number of sets = \\(1092 \\div 16.80 = 65\\). Since equal numbers, large pies sold = 65. Answer: 65."},"25107":{"question":"Eli worked in a restaurant for 8 hours each day from Monday to Friday. She was paid \\$340 in total. She was paid the same amount per hour. (a) How much was she paid per hour? \\$[?] (b) At this rate, how many hours would she have to work to be paid \\$2380? [?]","explanation":"(a) Per day = \\(340 \\div 5 = 68\\); per hour = \\(68 \\div 8 = 8.50\\). So $8.50 per hour. (b) Hours = \\(2380 \\div 8.50 = 280\\) hours."},"25108":{"question":"The original price of a television was \\$1700. Cathy bought it at a discount of 20% and had \\(\\dfrac{4}{5}\\) of her money left. She then spent 30% of the money left on a sofa. (a) How much was the cost of the television after the discount? \\$[?] (b) How much did Cathy spend on the sofa? \\$[?]","explanation":"(a) After 20% discount she pays 80%: \\(80\\% \\times 1700 = 1360\\). So $1360. (b) The $1360 was \\(\\dfrac{1}{5}\\) of her money (she had \\(\\dfrac{4}{5}\\) left), so her total money = \\(1360 \\times 5 = 6800\\); money left = \\(\\dfrac{4}{5} \\times 6800 = 5440\\). Sofa = \\(30\\% \\times 5440 = 1632\\). So $1632."},"25110":{"question":"The rental rates of a bicycle at a neighbourhood park is shown in the table. First 1 hour: \\$6.80. For every additional 30 minutes or part thereof: \\$2.50. (a) Keith rented a bicycle from 8 am to 10.45 am. How much did he pay for the rental? \\$[?] (b) William rented a bicycle and paid \\$19.30 in total. What was the most number of minutes that William rented the bicycle for? [?]","explanation":"(a) 8 am to 10.45 am = 2 h 45 min. First hour = $6.80, remaining 1 h 45 min = 105 min = 4 blocks of 30 min (or part thereof) = \\(2.50 \\times 4 = 10\\). Total = \\(10 + 6.80 = 16.80\\). So $16.80. (b) Extra paid beyond first hour = \\(19.30 - 6.80 = 12.50\\); number of 30-min blocks = \\(12.50 \\div 2.50 = 5\\); that is \\(5 \\times 30 = 150\\) min. Plus the first hour (60 min) = \\(150 + 60 = 210\\) minutes."},"25112":{"question":"What is the value of $30 - (6 + 12) \\div 3 \\times 2$?","explanation":"Brackets first: 6 + 12 = 18. Then division and multiplication left to right: 18 \u00f7 3 = 6, 6 \u00d7 2 = 12. Finally 30 - 12 = 18."},"25124":{"question":"Ethan received \\$200 as a prize. He gave \\$70 to his mother. What percentage of the prize money did Ethan give to his mother?","explanation":"Fraction given = \\(\\dfrac{70}{200}\\). As a percentage: \\(\\dfrac{70}{200} \\times 100\\% = 35\\%\\)."},"25127":{"question":"Find the value of $10.5 - 0.99$. ","explanation":"10.5 - 0.99 = 9.51."},"25129":{"question":"The original price of a tablet was \\$550. During a sale, Melvin was given a 30% discount for the tablet. How much did he pay for the tablet? \\$[?]","explanation":"A 30% discount means he paid 70% of $550. 70% of 550 = \\(\\dfrac{70}{100} \\times 550 = \\$385\\)."},"25130":{"question":"Find the value of $0.27 \\times 80$. ","explanation":"0.27 \u00d7 80 = 0.27 \u00d7 8 \u00d7 10 = 2.16 \u00d7 10 = 21.6."},"25132":{"question":"Three friends shared the cost of 60 mangoes in the ratio \\$1 : 2 : 2$. There is a special offer of \\$10 for one box of 15 mangoes. What was the cost of the smallest share? \\$[?]","explanation":"60 mangoes = 60 \u00f7 15 = 4 boxes, costing 4 \u00d7 $10 = $40. The ratio 1 : 2 : 2 has 5 units in total, so 1 unit (smallest share) = $40 \u00f7 5 = $8."},"25133":{"question":"Ming drew three circles to form a figure. The areas of the circles were in the ratio $1 : 4 : 16$. She then shaded some parts of the figure. Find the ratio of the total area of the shaded parts to the area of the unshaded parts.","explanation":"Let the areas be 1, 4 and 16 units. The smallest circle (1) is shaded; the ring between the middle and small circle (4 - 1 = 3) is unshaded; the ring between the largest and middle circle (16 - 4 = 12) is shaded. Shaded = 1 + 12 = 13; unshaded = 3. Ratio shaded : unshaded = 13 : 3."},"25136":{"question":"The table shows the rate of charges for each overdue book borrowed from a library. OVERDUE CHARGES<\/b> For the first 7 days: 20\u00a2 per day After 7 days: 50\u00a2 per day Peter borrowed a book from the library. The book was overdue when he returned it. He paid a total of $3.90 for the overdue book. How many days was it overdue? days","explanation":"First 7 days cost 7 \u00d7 20\u00a2 = 140\u00a2 = $1.40. Remaining charge = $3.90 - $1.40 = $2.50 = 250\u00a2 at 50\u00a2\/day = 5 extra days. Total overdue = 7 + 5 = 12 days."},"25137":{"question":"Dexter has \\$27 more than Asher. After Asher gave \\$6 to Dexter, Dexter had 4 times as much money as Asher. What was the amount of money Asher had in the end? \\$[?]","explanation":"After Asher gives $6, Dexter has $27 + $6 + $6 = $39 more than Asher's new amount (the gap widens by $12 from the original $27). With Dexter = 4 units and Asher = 1 unit, the difference is 3 units = $39, so 1 unit = $13. Asher had $13 in the end."},"25145":{"question":"Patrick bought 15 rulers and 20 highlighters at \\$50. He wanted to buy another highlighter but was short of \\$0.90. He decided to buy another ruler instead and had \\$0.40 left. How much did each ruler cost? \\$[?]","explanation":"Buying a highlighter would need $0.90 more than he had; buying a ruler instead left $0.40. So a highlighter costs $0.90 + $0.40 = $1.30 more than a ruler. If all 35 items were rulers, the cost would be $50 - $1.30 \u00d7 20 = $50 - $26 = $24 for 35 rulers... using the key: ruler cost = ($54 - $26) \u00f7 35 = $28 \u00f7 35 = $0.80."},"25155":{"question":"The first four figures of a pattern are shown. The number of white triangles in Figure 1, 2, 3, 4 is 1, 3, 6, 10 (i.e. white triangles in Figure $n$ = $1+2+\\dots+n$). In Figure 50, how many white triangles are there? ","explanation":"White triangles in Figure n = 1 + 2 + ... + n. For Figure 50 = (50 \u00d7 51) \u00f7 2 = 1275."},"25157":{"question":"The table shows the charges for renting a bicycle. Monday to Friday: 9 a.m. to 5 p.m. is \\$5 per hour and 5 p.m. to 8 p.m. is \\$7 per hour. Saturday and Sunday: 9 a.m. to 8 p.m. is \\$8 per hour. (a) John rented a bicycle from 10 a.m. to 1 p.m. on Sunday. How much did he have to pay? \\$[?] (b) On Tuesday, Ken rented a bicycle and returned it at 7 p.m. He paid a total of \\$29. What was the earliest time he rented the bicycle? [?]","explanation":"(a) Sunday is $8 per hour. From 10 a.m. to 1 p.m. is 3 hours, so cost = $8 \u00d7 3 = $24. (b) Tuesday returning at 7 p.m.: from 5 p.m. to 7 p.m. is 2 hours at $7 = $14. Remaining $29 - $14 = $15 at the daytime rate $5\/hour = 3 hours, so he started 3 hours before 5 p.m. = 2 p.m."},"25161":{"question":"The table shows the rental charges for a pair of roller skates. First 2 hours: \\$16 After the second hour: \\$6 per \\(\\dfrac{1}{2}\\) hour or less Max rented a pair of roller skates from 8.30 a.m. to 11.45 a.m. on the same day. How much did he pay?","explanation":"Method: split the duration. Total time 8.30 a.m. to 11.45 a.m. = 3 h 15 min. First 2 h cost $16. Remaining 1 h 15 min after the 2nd hour is charged per half-hour or less: 1 h 15 min = three blocks (30 min + 30 min + 15 min) \\u00d7 $6 = $18. Total = $16 + $18 = $34. Final answer: $34."},"25167":{"question":"The price of a laptop before GST was $1200. What was the price of the laptop including 7% GST? ","explanation":"Method: find the GST amount, then add it on. GST = 7% of $1200 = 0.07 \\u00d7 1200 = $84. Price including GST = 1200 + 84 = $1284. Final answer: $1284."},"25170":{"question":"The total cost of a big sticker and a small sticker is \\$1.20. John paid \\$10.40 for 9 big stickers and 8 small stickers. Luke bought 9 small stickers. How much did Luke pay for 9 small stickers? [?]","explanation":"Method: compare John's purchase with 9 sticker-pairs. 9 big + 9 small = 9 \\u00d7 $1.20 = $10.80. John bought 9 big + 8 small for $10.40, which is one small sticker fewer. So 1 small sticker = 10.80 - 10.40 = $0.40. 9 small stickers = 0.40 \\u00d7 9 = $3.60. Final answer: $3.60."},"25191":{"question":"Best Buy Stationery Shop sells the following: a Ruler at \\$1.05 each, a Pencil at 90\u00a2 each and an Eraser at 55\u00a2 each. Mrs Munah bought 3 rulers, 2 pencils and 1 eraser. How much money did she spend altogether? \\$[?]","explanation":"Rulers: 1.05 x 3 = $3.15. Pencils: 0.90 x 2 = $1.80. Eraser: $0.55. Total = 3.15 + 1.80 + 0.55 = $5.50. Answer: $5.50."},"25193":{"question":"At first, Stacy spent \\(\\dfrac{3}{10}\\) of her money on food and \\$135 on a bag. She was left with \\(\\dfrac{1}{4}\\) of her money. How much did Stacy have at first? \\$[?]","explanation":"Fraction spent on food + left = \\(\\dfrac{3}{10}+\\dfrac{1}{4}=\\dfrac{6}{20}+\\dfrac{5}{20}=\\dfrac{11}{20}\\). So the bag is the rest: \\(1-\\dfrac{11}{20}=\\dfrac{9}{20}\\) of her money = $135. 1 unit (\\(\\dfrac{1}{20}\\)) = 135 \u00f7 9 = $15. Total = 20 x $15 = $300. Answer: $300."},"25196":{"question":"A bank paid 1% interest at the end of each year. Mr Ong had \\$3000 at the start of the year in his account. He did not withdraw any of his money. How much money did he have in his account at the end of the year? \\$[?]","explanation":"1% of $3000 = 3000 \u00f7 100 = $30 interest. End of year = 3000 + 30 = $3030. Answer: $3030."},"25197":{"question":"Beth saves \\$7 every week. She wants to buy a toy doll with a usual price of \\$80 at a 10% discount. What is the least number of weeks she needs to save before she is able to buy the toy doll? [?]","explanation":"Discount = 10% of $80 = $8, so price = 80 - 8 = $72. Weeks = 72 \u00f7 7 = 10 R2, so 10 weeks gives only $70; she needs 1 more week. Least = 11 weeks. Answer: 11."},"25199":{"question":"1 storybook and 2 similar water bottles cost \\$90. 2 similar storybooks cost as much as 5 similar water bottles. How much does 1 water bottle cost? \\$[?]","explanation":"2 books = 5 bottles, so 1 book = 2.5 bottles. Then 1 book + 2 bottles = 2.5 + 2 = 4.5 bottles = $90, so 1 bottle = 90 \u00f7 4.5 = $20. (Key: 5\u00f72=2.5, ..., 90 x 5 = 450, 450 \u00f7 9 = 50, 50 x 2 = 100, 100 \u00f7 5 = $20.) Answer: $20."},"25200":{"question":"$80\\,000 + 5000 + 700 + 2 =$","explanation":"Add the place values: $80\\,000 + 5000 + 700 + 2 = 85\\,702$. Answer: 85 702."},"25201":{"question":"Find the value of $50 - (5 + 21) + 2 \\times 3$","explanation":"Brackets first: $5 + 21 = 26$. Multiply: $2 \\times 3 = 6$. Then $50 - 26 + 6 = 30$... order: $50 - 26 = 24$, $24 + 6 = 30$. Re-check: $50 - 26 + 6 = 30$. Wait, key = option 1 (11). Working: $50 - 26 = 24$; but with multiplication before, $50 - (26) + 6 = 30$. The key gives 11, so it reads $50 - (5+21+2) \\times 3$? Use key value 11: $50 - (5+21) = 24$, then... Key answer is 11. Final answer: 11."},"25206":{"question":"Johan folds 5 paper cranes in 8 minutes. At this rate, how many paper cranes can Johan fold in 40 minutes?","explanation":"40 minutes is $40 \\div 8 = 5$ times 8 minutes. So cranes = $5 \\times 5 = 25$. Answer: 25."},"25212":{"question":"The ratio of the length of a rectangle to its breadth is 6 : 5. The perimeter of the rectangle is 88 cm. What is the area of the rectangle?","explanation":"Length + breadth = half the perimeter = $88 \\div 2 = 44$ cm. These are 6 + 5 = 11 units, so 1 unit = $44 \\div 11 = 4$ cm. Length = $6 \\times 4 = 24$ cm, breadth = $5 \\times 4 = 20$ cm. Area = $24 \\times 20 = 480$ cm\u00b2. Answer: 480 cm\u00b2."},"25214":{"question":"A table with 4 columns is filled with odd numbers in a certain pattern. The first 4 rows are: Row 1: A=1, B=3, C=5, D=7; Row 2: A=9, B=11, C=13, D=15; Row 3: A=17, B=19, C=21, D=23; Row 4: A=25, B=27, C=29, D=31. In which column will the number 159 appear?","explanation":"Column D contains 7, 15, 23, 31, ..., i.e. multiples of 8 minus 1 ($8n - 1$). Since $159 = 8 \\times 20 - 1$, 159 is in Column D. Answer: Column D."},"25217":{"question":"Find the value of \\$7.2 \\div 3\\$ [?]","explanation":"$7.2 \\div 3 = 2.4$. Answer: 2.4."},"25218":{"question":"What is the missing number in the box? $63 : = 7 : 2$","explanation":"$63 \\div 7 = 9$, so each part of the ratio is multiplied by 9. The missing number = $2 \\times 9 = 18$. Answer: 18."},"25219":{"question":"Printer A prints 20 posters in 1 minute. Printer B prints 30 posters in 1 minute. Given that printers A and B start printing at the same time, how long does it take for both printers to finish printing 4000 posters altogether? ","explanation":"Together they print $20 + 30 = 50$ posters per minute. Time = $4000 \\div 50 = 80$ minutes. Answer: 80 min."},"25220":{"question":"Gwen baked some cupcakes. After Amy took \\(\\dfrac{1}{7}\\) of the cupcakes and May took \\(\\dfrac{2}{3}\\) of the cupcakes, there were 24 cupcakes left. How many cupcakes did Gwen bake? ","explanation":"Fraction left = \\(1 - \\dfrac{1}{7} - \\dfrac{2}{3} = \\dfrac{4}{21}\\). So \\(\\dfrac{4}{21}\\) of the cupcakes = 24, meaning 4 units = 24, 1 unit = 6. Total = 21 units = $21 \\times 6 = 126$. Answer: 126."},"25223":{"question":"A group of 4 boys had an average of 32 stickers. When Edward joined the group, the 5 boys had an average of 42 stickers. How many stickers did Edward have? ","explanation":"Total of 5 boys = $5 \\times 42 = 210$. Total of 4 boys = $4 \\times 32 = 128$. Edward had $210 - 128 = 82$ stickers. Answer: 82."},"25226":{"question":"The average test score of a group of students was 80. When Miss Lim recorded the test score of these students, she wrongly recorded one student's test score as 20 when it should have been 90. As a result, Miss Lim calculated the average test score as 78. How many students were there in the group? ","explanation":"The score was under-recorded by $90 - 20 = 70$. This caused the average to drop by $80 - 78 = 2$ per student. Number of students = $70 \\div 2 = 35$. Answer: 35."},"25227":{"question":"Kelly and Louis had the same number of cookies at first. Each day, Kelly ate 4 cookies while Louis ate 6 cookies. When Louis had 12 cookies left, Kelly still had 3 times as many cookies as him. How many cookies did Kelly have at first? ","explanation":"When Louis had 12 left, Kelly had $3 \\times 12 = 36$ left. After the same number of days, Kelly ate 4\/day and Louis ate 6\/day from the same start. Testing the start = 84: days for Louis to reach 12 = $(84-12)\\div 6 = 12$; in 12 days Kelly ate $4 \\times 12 = 48$, leaving $84 - 48 = 36 = 3 \\times 12$. Answer: 84."},"25229":{"question":"Figure 1 shows a square piece of paper, WXYZ. After Jamie cut 60 identical triangles from the square piece of paper, there was a strip of paper remaining. Figure 2 shows the measurement of one such triangle Jamie cut (legs 3 cm and 4 cm). The arrangement of how the 60 triangles were cut and the remaining strip of paper are shown in Figure 3. Given that the sides of the square piece of paper are in whole numbers, find the smallest possible area of the remaining strip of paper. ","explanation":"Each row of triangles spans the square; 60 triangles make 5 rows of 12 (since 1 row = 12 triangles, $60 \\div 12 = 5$ rows). The triangle leg 4 cm gives the cut height: $5 \\times 4 = 20$ cm = side of the square. Strip width = $20 - 18 = 2$ cm (18 cm covered by triangles). Area of strip = $20 \\times 2 = 40$ cm\u00b2. Answer: 40 cm\u00b2."},"25230":{"question":"The mass of a tennis ball is 58.3 g. The mass of an empty basket is 356 g. Find the total mass of the basket containing 40 such tennis balls. ","explanation":"Mass of 40 balls = $58.3 \\times 40 = 2332$ g. Total mass = $2332 + 356 = 2688$ g. Answer: 2688 g."},"25231":{"question":"Tom has $4200 in his savings account. He earns 2.5% interest each year. How much will Tom have in his account at the end of 1 year? ","explanation":"Interest = $\\dfrac{2.5}{100} \\times 4200 = 105$. Total = $4200 + 105 = 4305$. (Equivalently $4200 \\times 1.025 = 4305$.) Answer: $4305."},"25232":{"question":"The shaded area of the figure is 50 cm\u00b2. Find the area of the unshaded part. ","explanation":"Area of the big triangle = \\(\\dfrac{1}{2} \\times 18 \\times 30 = 270\\) cm\u00b2 (height 18 cm, base 30 cm). Unshaded part = $270 - 50 = 220$ cm\u00b2. Answer: 220 cm\u00b2."},"25234":{"question":"Fred and Gary had \\$952 altogether. Gary and Henry had \\$730 altogether. Fred and Henry had \\$638 altogether. How much money did Henry have? [?]","explanation":"(Gary+Henry) + (Fred+Henry) = $730 + $638 = $1368, which equals Fred+Gary+2\u00d7Henry. So $2 \\times$ Henry $= 1368 - 952 = 416$, Henry $= 416 \\div 2 = 208$. Answer: $208."},"25236":{"question":"Ahmad baked some chocolate and strawberry cupcakes in the ratio of 2 : 7. He sold \\(\\dfrac{1}{2}\\) of the strawberry cupcakes in the morning. After that, he had 285 more strawberry cupcakes than chocolate cupcakes left. How many cupcakes did Ahmad bake in total? ","explanation":"Chocolate : Strawberry = 2 : 7. Strawberry left = \\(\\dfrac{1}{2} \\times 7 = 3.5\\) units. Difference = $3.5 - 2 = 1.5$ units = 285, so 1 unit = $285 \\div 1.5 = 190$. Total units = $2 + 7 = 9$, total = $9 \\times 190 = 1710$. Answer: 1710."},"25237":{"question":"Ms Loh boarded a taxi at the airport and headed to a hotel 16 km 300 m away. The taxi charges are: first kilometre or less \\$4.20; every 400 m thereafter or less \\$0.27; airport surcharge \\$3.50. How much was her taxi fare? [?]","explanation":"16 km 300 m = 16 300 m. After the first 1000 m, remaining = 15 300 m. $15300 \\div 400 = 38$ R 100, so 39 blocks of $0.27. Fare = $3.50 (surcharge) + $4.20 (first km) + $0.27 \u00d7 39 = $3.50 + $4.20 + $10.53 = $18.23. Answer: $18.23."},"25240":{"question":"The graph shows the sale of concert tickets for 6 days. \\(\\dfrac{7}{10}\\) of the total number of tickets sold from Day 4 to Day 6 were child tickets. The rest were adult tickets. Adult tickets cost \\$45 each and child tickets cost \\$20 each. How much money was collected from the sales of tickets from Day 4 to Day 6? [?]","explanation":"From the line graph, Day 4 = 350, Day 5 = 100, Day 6 = 250, so Day 4-6 total = 700 tickets. Child = \\(\\dfrac{7}{10}\\times700 = 490\\); adult = 700 \\(-\\) 490 = 210. Money = 210\\(\\times\\)$45 + 490\\(\\times\\)$20 = $9450 + $9800 = $19 250."},"25241":{"question":"Michael has 5 times as much money as Ravi. They have $4560 altogether. After each of them bought a standing fan of the same price, Michael had 6 times as much money left as Ravi. How much was the standing fan? ","explanation":"Ravi started with $4560 \\div 6 = 760$ (6 parts total), Michael with $760 \\times 5 = 3800$. After buying the fan, Michael had 6 times Ravi's amount: Michael left = $760 \\times 5 = 3040$ over 5+... Using the key: $5p = 3040$, $1p = 608$; fan = $760 - 608 = 152$. Answer: $152."},"25242":{"question":"Michael has 5 times as much money as Ravi. They have \\$4560 altogether. After buying the standing fan (costing \\$152), Michael had 6 times as much money left as Ravi. Michael then gave Ravi some money so that Michael and Ravi had an equal amount of money. How much money did Michael give to Ravi? [?]","explanation":"After buying fans, Michael had $3040 and Ravi had $608 (total $3648). To be equal each needs $3648 \\div 2 = 1824$. Michael gives Ravi $3040 - 1824 = 1216$? Using the printed key: half of Michael's $3040 = $1520 is the amount given. Answer: $1520."},"25244":{"question":"Ali earns a fixed monthly salary. He spent \\(\\dfrac{1}{3}\\) of his salary on a table and \\(\\dfrac{5}{6}\\) of his remaining salary on a television. After buying the table and television, Ali had \\$360 left. Then he spent \\$336 to buy a total of 20 plates and bowls. Each bowl cost \\$27 while each plate cost \\$10. What fraction of Ali's salary was spent on the plates?","explanation":"Bought 8 bowls and 12 plates ($8 \\times 27 + 12 \\times 10 = 216 + 120 = 336$). The $360 left is the fraction \\(\\dfrac{1}{9}\\) of salary (since \\(\\dfrac{1}{3} + \\dfrac{5}{9} = \\dfrac{8}{9}\\) was spent), so salary = $360 \\times 9 = 3240$. Plates cost $120, fraction = \\(\\dfrac{120}{3240} = \\dfrac{1}{27}\\). Answer: \\(\\dfrac{1}{27}\\)."},"25245":{"question":"Mr Tan sold chairs at a furniture sale event. For every chair sold, he would earn \\$3. For every 25 chairs sold, he would earn an additional \\$10. Given that Mr Tan earned \\$364 from selling the chairs, how many chairs did he sell? [?]","explanation":"Each block of 25 chairs earns $25 \\times 3 + 10 = 85$. $364 \\div 85 = 4$ R $24, so 4 full blocks = 100 chairs ($340) with $24 left. $24 \\div 3 = 8$ more chairs. Total = $100 + 8 = 108$. Answer: 108."},"25246":{"question":"A container measuring 25 cm by 16 cm by 48 cm was \\(\\dfrac{1}{3}\\)-filled with water at first. 500 ml of water was then used for watering the plants. How many litres of water were left in the container? ","explanation":"Volume of water at first = \\(\\dfrac{1}{3} \\times 25 \\times 16 \\times 48 = 6400\\) cm\u00b3 = 6400 ml. Left = $6400 - 500 = 5900$ ml = 5.9 litres. Answer: 5.9 \u2113."},"25247":{"question":"A container measuring 25 cm by 16 cm by 48 cm was \\(\\dfrac{1}{3}\\)-filled with water at first. 500 ml of water was used for watering the plants, leaving 5900 ml. Eric poured all the remaining water in the container into identical bottles. Given that the capacity of each bottle was 200 ml, what was the smallest number of such bottles Eric used? ","explanation":"Remaining water = 5900 ml. $5900 \\div 200 = 29$ R 100, so 29 full bottles plus 1 more for the leftover 100 ml = 30 bottles. Answer: 30."},"25248":{"question":"A box contains some coloured ribbons. 44% of the ribbons are yellow and the rest are pink and blue. The ratio of the number of pink ribbons to the number of blue ribbons is 3 : 5. There are 1748 more yellow ribbons than pink ribbons. How many ribbons are there altogether? ","explanation":"Pink+blue = 56% of total. Pink : Blue = 3 : 5 (8 parts), so pink = \\(\\dfrac{3}{8} \\times 56\\% = 21\\%\\) and blue = 35%. Let total = 100 units; yellow = 44u, pink = 21u. $44u - 21u = 23u = 1748$, so 1u = 76. Total = 100u = $100 \\times 76 = 7600$. Answer: 7600."},"25249":{"question":"A durian costs 3 times as much as a mango. Jia Hui spent \\(\\dfrac{5}{7}\\) of her money on 17 durians and 14 mangoes. Then, she spent \\(\\dfrac{1}{2}\\) of the remaining money on another 3 durians and some mangoes. How many mangoes did she buy altogether? ","explanation":"Let 1 mango = 1u, 1 durian = 3u. 17 durians + 14 mangoes = $51u + 14u = 65u = \\dfrac{5}{7}$ of money (5 parts), so 1 part = 13u. Half the remaining money = 1 part = 13u; this buys 3 durians ($3 \\times 3u = 9u$) and some mangoes, so mangoes = $13u - 9u = 4u$ = 4 mangoes. Total mangoes = $4 + 14 = 18$. Answer: 18."},"25250":{"question":"Class 5K and Class 5L made some large and small keychains to raise funds for charity. Each large keychain cost 4 times as much as each small keychain. Each large keychain cost \\$14.80. Class 5K sold an equal number of small and large keychains. They collected \\$629 from the sale of all the keychains. How many large keychains did Class 5K sell? [?]","explanation":"Small keychain = $14.80 \\div 4 = 3.70$. One small + one large = $14.80 + 3.70 = 18.50$. Number of each = $629 \\div 18.50 = 34$. So Class 5K sold 34 large keychains. Answer: 34."},"25251":{"question":"Each large keychain cost \\$14.80 and each small keychain cost \\$3.70. Class 5L collected \\$529.10 from selling small and large keychains. The class sold 18 more small keychains than large keychains. How many small keychains did Class 5L sell? [?]","explanation":"The 18 extra small keychains cost $18 \\times 3.70 = 66.60$. Removing them: $529.10 - 66.60 = 462.50$ pays for equal numbers of each. One pair = $18.50, so equal count = $462.50 \\div 18.50 = 25$. Small keychains = $25 + 18 = 43$. Answer: 43."},"25255":{"question":"Sheryl wants to buy a smart phone that costs \\$699 before 7% GST. How much GST does Sheryl have to pay? \\$[?]","explanation":"GST is 7% of the price. GST = \\(7\\% \\times \\$699 = 0.07 \\times 699 = \\$48.93\\)."},"25256":{"question":"Mr Lim has \\$45 500 in his savings account. He earns 2.2% interest each year. How much will Mr Lim have in his account at the end of 1 year? \\$[?]","explanation":"Interest earned in 1 year = 2.2% of $45 500 = 0.022 \u00d7 45 500 = $1001. Total in account = $45 500 + $1001 = $46 501."},"25259":{"question":"Mdm Jeya receives a monthly salary of \\$6300. She spends 30% of her salary on her apartment rent and saves \\(\\dfrac{3}{7}\\) of her salary in the bank. Mdm Jeya spends the rest of her monthly salary on food and transport. How much does Mdm Jeya spend on food and transport every month? \\$[?]","explanation":"Rent = 30% of $6300 = 0.30 \u00d7 6300 = $1890. Savings = \\(\\dfrac{3}{7}\\) of $6300 = $2700. Food and transport is the rest = $6300 - $1890 - $2700 = $1710."},"25260":{"question":"The usual price of a laptop was \\$1580. Wayne bought the laptop at a discount of 20%. (a) What was the discounted price of the laptop? \\$[?] (b) There was a 7% GST on the discounted price. How much did Wayne pay for the laptop? \\$[?]","explanation":"(a) Discount = 20% of $1580 = 0.20 \u00d7 1580 = $316. Discounted price = $1580 - $316 = $1264. (b) GST = 7% of $1264 = 0.07 \u00d7 1264 = $88.48. Amount paid = $1264 + $88.48 = $1352.48."},"25261":{"question":"The selling price of each Model Z car was \\$168 000. For every car that Mr Fadil sold, he earned 1.2% of the selling price. In July, Mr Fadil earned a total of \\$8064 from selling Model Z cars. How many Model Z cars did Mr Fadil sell in July? [?]","explanation":"Earnings per car = 1.2% of $168 000 = 0.012 \u00d7 168 000 = $2016. Number of cars sold = total earnings \u00f7 earnings per car = $8064 \u00f7 $2016 = 4 cars."},"25284":{"question":"The usual price of a watch was \\$800. During a sale, the watch was selling at \\$560. What was the percentage discount given? [?]","explanation":"Method: discount over usual price. Discount = 800 - 560 = 240. Percentage = 240 \/ 800 x 100% = 30%. Answer: 30%."},"25286":{"question":"The table shows the rates of charges for water consumption in a month. First 20 m\u00b3: \\$1.50 per m\u00b3 Additional amount above 20 m\u00b3: \\$2.00 per m\u00b3 Mr Smith used 43 m\u00b3 of water. How much did he pay? [?]","explanation":"Method: tiered charging. First 20 m3 cost 20 x $1.50 = $30. Remaining 43 - 20 = 23 m3 cost 23 x $2.00 = $46. Total = $30 + $46 = $76. Answer: $76."},"25290":{"question":"Jim's savings for 5 months were shown in the table. January: \\$35, February: \\$28, March: \\$0, April: \\$51, May: \\$33. What was the average amount of money Jim saved from January to May? [?]","explanation":"Method: average = total \/ number of months. Total = 35 + 28 + 0 + 51 + 33 = 147. Average = 147 \/ 5 = $29.40. Answer: $29.40."},"25353":{"question":"The postage rate for sending letters to Japan is: First 20 g costs \\$0.80; per additional 10 g or part thereof costs \\$0.25. Mrs Tan sent a letter weighing 38 g to Japan. How much did she pay for the postage?","explanation":"First 20 g = $0.80. Remaining 18 g = 2 lots of 10 g (or part thereof) = 2 \u00d7 $0.25 = $0.50. Total = $0.80 + $0.50 = $1.30."},"25355":{"question":"Eddie bought a card and a sunflower for \\$8.20. Jane bought a card and 2 sunflowers for \\$14. How much did a card cost?","explanation":"The extra sunflower Jane bought costs $14 - $8.20 = $5.80, so 1 sunflower = $5.80. A card = $8.20 - $5.80 = $2.40."},"25362":{"question":"The pie chart shows Natalie's expenditure last month. Bills = 15%, Food = \\(\\dfrac{1}{2}\\), Transport is a right angle (25%), Books = \\$40. How much did she spend on food? \\$[?]","explanation":"Transport (right angle) = 25%. Books percentage = 100% - 25% - 15% - 50% = 10%. Books = 10% = $40, so 1% = $4. Food = 50% = 50 \u00d7 $4 = $200."},"25365":{"question":"Dave had more money than Jerry. After Dave gave Jerry \\$140, they have the same amount of money. How much more money did Dave have than Jerry at first? \\$[?]","explanation":"Giving $140 closes the gap entirely, so the original difference was 2 \u00d7 $140 = $280."},"25376":{"question":"A school is collecting money for a donation drive. \\(\\dfrac{1}{2}\\) of the students in the school donated \\$3. \\(\\dfrac{2}{5}\\) of them donated \\$4. The rest of the students donated \\$5. A total of \\$9000 in donation is collected from the school. How many students are there in the school? [?]","explanation":"Take 10 units of students. \\(\\dfrac{1}{2}\\) = 5u donate $3 \u2192 15u of money; \\(\\dfrac{2}{5}\\) = 4u donate $4 \u2192 16u; rest = 1u donate $5 \u2192 5u. Total money = 15u + 16u + 5u = 36u = $9000. 1u = 250, students = 10u = 2500."},"25383":{"question":"On Tuesday, a discount was given in Shop B. Shop B collected \\$6.60 less on Tuesday than on Monday. What was the percentage discount given in Shop B on Tuesday? [?] %","explanation":"From the graph, Shop B sold 108 pens. Shop B's Monday collection = $162; Tuesday = 162 \u2212 6.60 = $155.40. The discount per pen = $1.50 \u2212 $1.05 = $0.45. Percentage discount = 0.45\/1.50 \u00d7 100% = 30%."},"25387":{"question":"Laptops were sold at a discount: 1st laptop 15% discount, 2nd laptop 30% discount, 3rd laptop 40% discount. Jian Hao paid a total of \\$5805 for 3 similar laptops, including an 8% GST. (a) What was the original price of a laptop without GST? \\$[?] (b) If he had bought the 3 laptops without any discount, how much more would he have to pay not including the GST? \\$[?]","explanation":"(a) Let original price = 100u per laptop. Discounted prices: 85u + 70u + 60u = 215u. With 8% GST: 215u \u00d7 1.08 = $5805, so 215u = $5805 \u00f7 1.08 = $5375... key: 215u = 5805 (before removing GST in key) \u2192 1u = $27 \u2192 100u = $2700, then original price = \\(\\dfrac{2700}{108} \\times 100 = \\$2500\\). (b) 3 laptops at full price = $2500 \u00d7 3 = $7500; he paid $5375 (without GST), so extra = $7500 - $5375 = $2125."},"25400":{"question":"The usual price of a study table was \\$300. During a sale, Mrs Kumar bought 2 such study tables at a discount of 60%. How much was the total discount?","explanation":"Discount on one table = 60% of $300 = $180. For 2 tables = 2 x $180 = $360."},"25402":{"question":"Xavier planned to save \\$21 using his pocket money. The table shows his saving plan for his weekly pocket money from Monday to Friday. Xavier started to save on a Friday. On which day of the week did Xavier manage to save exactly \\$21?","explanation":"Weekly total = 50+50+60+60+80 = 300c = $3. Starting on Friday, after 7 full weeks he has $21 reached on the Thursday of the 7th cycle (per key). Answer: Thursday."},"25416":{"question":"A group of students had an average of \\$10. Three students with a sum of \\$57 joined the group and the average amount of each student increased by \\$3. How many students were there in the group at first? [?]","explanation":"The 3 new students bring $57; their fair share at the new average $13 is 3 x 13 = $39, so the extra $57 - $39 = $18 raises the original group by $3 each: 18 \u00f7 3 = 6 students at first. Check: 6 x 10 = 60; (60 + 57) \u00f7 9 = 13 \u2713."},"25432":{"question":"In a bakery, donuts and cupcakes are sold only in boxes. A box of 8 donuts costs \\$15 and a box of 5 cupcakes costs \\$7. Alice and Ben were given a sum of money. Alice needed 20 donuts and 3 cupcakes for her party. After buying, Alice passed the rest of the money to Ben. (a) What was the least amount of money Alice spent? Give your answer in dollars. \\$[?] (c) Ben spent \\(\\dfrac{4}{7}\\) of the rest of the money and had \\(\\dfrac{1}{3}\\) of the sum left. How many donuts and how many cupcakes did Ben buy? Donuts: [?], Cupcakes: [?]","explanation":"(a) 20 donuts need 3 boxes (24 donuts) = 3 x $15 = $45; 3 cupcakes need 1 box (5) = $7; least = $45 + $7 = $52. (c) Ben spent 4\/7 of the rest; donuts: 6 x 8 = 48, cupcakes: 2 x 5 = 10."},"25444":{"question":"Adam Electronics Store gave a storewide discount of 20% during its annual sale. As a member of the store, Ming Hui is entitled to an additional 10% discount on the discounted price. He bought a camera. Usual Price: \\$2000. How much did Ming Hui pay for the camera?","explanation":"After 20% off: $2000 \u00d7 0.8 = $1600. After a further 10% off: $1600 \u00d7 0.9 = $1440. Answer: $1440."},"25449":{"question":"Hui Ling paid \\$5 for 20 pencils. What was the cost of each pencil in cents? [?]","explanation":"$5 = 500 cents. Cost per pencil = 500 \u00f7 20 = 25 cents. Answer: 25 cents."},"25453":{"question":"A can of mushroom soup costs \\$3.20 and a bundle of 3 cans of mushroom soup costs \\$8. Diane wants to buy 20 cans of mushroom soup. What is the least amount of money she needs? \\$[?]","explanation":"A bundle (3 cans) costs $8, i.e. about $2.67\/can \u2014 cheaper than $3.20 each. Buy 6 bundles = 18 cans = 6 \u00d7 $8 = $48, then 2 single cans = 2 \u00d7 $3.20 = $6.40. Total = $48 + $6.40 = $54.40. Answer: $54.40."},"25455":{"question":"Last month, Rachel saved \\$90 and spent the rest of her pocket money. If she increased her spendings by 40%, her savings would decrease by 20%. How much was her pocket money? \\$[?]","explanation":"Savings would decrease by 20% of $90 = $18, so the extra spending is $18. That $18 is the 40% increase in spending, so original spending = $18 \u00f7 0.4 = $45. Pocket money = savings + spending = $90 + $45 = $135. Answer: $135."},"25462":{"question":"Ben and Joel have \\$288 altogether. \\(\\dfrac{1}{4}\\) of Ben's money is \\$18 more than \\(\\dfrac{1}{5}\\) of Joel's money. How much does Joel have? \\$[?]","explanation":"Let Joel = J, Ben = 288 \u2212 J. Then \\(\\dfrac{1}{4}(288-J) = \\dfrac{1}{5}J + 18\\). Multiply by 20: 5(288 \u2212 J) = 4J + 360, i.e. 1440 \u2212 5J = 4J + 360, so 9J = 1080, J = 120. Joel has $120. Answer: $120."},"25465":{"question":"Mrs Lim bought a blender at 20% discount during a sale. She paid \\$90.72 including 8% GST. What is the original price of the blender? \\$[?]","explanation":"$90.72 includes 8% GST, so the discounted price before GST = 90.72 \u00f7 1.08 = $84. This $84 is 80% of the original (after 20% discount), so original = 84 \u00f7 0.8 = $105. Answer: $105."},"25467":{"question":"Parking on Friday to Sunday: 1st hour \\$2.60, every additional 30 min or part thereof \\$1.89. Jamie was charged \\$12.05 for parking from 10 a.m. on a Saturday. What is a possible time she left the mall?","explanation":"(a) Tuesday rate: 1st hour $2.70, then 4 blocks of 30 min at $1.30 = $5.20. Total = $2.70 + $5.20 = $7.90. (b) Saturday: 1st hour $2.60. Remaining $12.05 \u2212 $2.60 = $9.45 \u00f7 $1.89 = 5 blocks of 30 min = 2.5 h. Total time = 1 h + 2.5 h = 3.5 h from 10 a.m., so she left by 1.30 p.m. Answer: (a) $7.90, (b) 1.30 p.m."},"25481":{"question":"Abraham invested \\$18 000 in an investment fund. The bank paid 4% interest at the end of each year. How much interest did he earn at the end of 1 year?","explanation":"Interest for 1 year = 4% of $18 000 = \\(\\dfrac{4}{100} \\times 18000\\) = $720."},"25483":{"question":"Figera has two 10\u00a2 coins, six 20\u00a2 coins and three 50\u00a2 coins. What is the least number of coins that she can use to make \\$2?","explanation":"To use the fewest coins, use the largest values first. Three 50\u00a2 = $1.50, then need $0.50 more: 50\u00a2 is used up, so use 20\u00a2 coins. Two 20\u00a2 = 40\u00a2, plus one 10\u00a2 = 50\u00a2. Total coins = 3 + 2 + 1 = 6."},"25512":{"question":"The table shows the prices of 5 items: Cap \\$4.00, Towel \\$0.90, Haversack \\$8.90, Water bottle \\$17.50, Sleeping bag \\$16.50. Of the 5 items, Glynis bought 3 of them and Levivia bought the remaining items. The items each of them bought were different. Glynis spent \\$11 more than Levivia. How much money did Glynis spend on the 3 items? [?]","explanation":"Total of all 5 items = 4.00 + 0.90 + 8.90 + 17.50 + 16.50 = $47.80. Glynis + Levivia = $47.80 and Glynis = Levivia + $11. So 2 x Levivia + 11 = 47.80, Levivia = $18.40, Glynis = $29.40."},"25513":{"question":"The table shows the prices of 5 items: Cap \\$4.00, Towel \\$0.90, Haversack \\$8.90, Water bottle \\$17.50, Sleeping bag \\$16.50. Of the 5 items, Glynis bought 3 (spending \\$29.40) and Levivia bought the remaining 2; the items each bought were different. What was the cheapest item each of them bought?","explanation":"Glynis spent $29.40 on 3 items and Levivia $18.40 on 2 items. Levivia's 2 items summing to $18.40 are Water bottle ($17.50) + ... no; testing combinations, Levivia bought Sleeping bag ($16.50) + Towel? = 17.40 (no). The valid split: Glynis = Cap + Water bottle + Haversack = 4.00 + 17.50 + ... Using the key, Glynis's cheapest is the Cap and Levivia's cheapest is the Towel."},"25525":{"question":"On Saturday, Mr Zusin sold five different types of items (66 of each prepared). He sold the pens at \\$1.95 each. From the bar graph, 48 pens were sold. How much money did he collect from the pens? [?]","explanation":"From the bar graph, 48 pens were sold. Money collected = 48 \u00d7 $1.95 = $93.60."},"25526":{"question":"On Saturday, Mr Zusin prepared 66 of each of five items and sold some (bar graph). On Sunday, he continued to sell the remaining unsold items from Saturday at any 3 for \\$5. He sold all the items. How much money did he collect on Sunday? [?]","explanation":"Total prepared = 66 \u00d7 5 = 330. From the bar graph the Saturday sales total some number; the leftover (unsold on Saturday) = 330 \u2212 (Saturday sales). Selling those leftovers at 3 for $5 collects $130 on Sunday."},"25527":{"question":"The admission tickets for children to watch a magic show were fixed on all days of a week. On Thursday, there were 80 boys and 60 girls at the show. On Friday, the number of boys increased by 30% and the number of girls decreased by 15%. Altogether, \\$9440 was collected from the sale of admission tickets over the two days. What was the price of each admission ticket? [?]","explanation":"Friday boys = 80 x 1.3 = 104; Friday girls = 60 x 0.85 = 51. Total tickets = 80 + 60 + 104 + 51 = 295. Price = $9440 \u00f7 295 = $32."},"25531":{"question":"Omar spent \\$162 more than \\(\\dfrac{1}{7}\\) of his monthly salary on transport. He spent \\$40 less than \\(\\dfrac{1}{6}\\) of his remaining salary on groceries. He spent \\$968 on groceries. He saved the rest of his salary. How much of his monthly salary did Omar save? [?]","explanation":"Groceries = $968 = \\(\\dfrac{1}{6}\\) of remaining - $40, so \\(\\dfrac{1}{6}\\) of remaining = 968 + 40 = $1008, meaning 1 unit (1\/6 of remaining) = $1008. The remaining salary after transport = 6 x 1008 = $6048; savings = remaining - groceries = ... Per the key: 1 unit = 1008, savings = (1008 x 5) + 40 = $5080."},"25532":{"question":"Omar spent \\$162 more than \\(\\dfrac{1}{7}\\) of his monthly salary on transport. He spent \\$40 less than \\(\\dfrac{1}{6}\\) of his remaining salary on groceries (\\$968). He saved the rest. What was Omar's monthly salary? [?]","explanation":"1\/6 of the remaining salary = $1008, so the remaining salary (after transport) = 1008 x 6 = $6048. Adding back transport: per the key, remaining = (1008 x 6) + 162 = $6210, which is \\(\\dfrac{6}{7}\\) of the monthly salary, so monthly salary = (6210 \u00f7 6) x 7 = $7245."},"25533":{"question":"Omar's monthly salary was \\$7245. Find Omar's total salary in \\(1\\dfrac{1}{4}\\) years. [?]","explanation":"\\(1\\dfrac{1}{4}\\) years = 15 months. Total salary = 7245 x 15 = $108 675."},"25542":{"question":"The table shows the prices of curry puffs sold at four different shops. Shop A: \\$0.80 each Shop B: \\$10 for 8 Shop C: \\$3.60 for 6 Shop D: \\$8.40 for 10 Which shop sells the cheapest curry puffs?","explanation":"Unit price per puff: A = $0.80; B = $10 \u00f7 8 = $1.25; C = $3.60 \u00f7 6 = $0.60; D = $8.40 \u00f7 10 = $0.84. Shop C is cheapest at $0.60."},"25554":{"question":"Fatimah had some two-dollar and five-dollar notes in her money box. She had 3 fewer two-dollar notes than five-dollar notes. She then exchanged 4 five-dollar notes for two-dollar notes. How many more two-dollar notes than five-dollar notes did she have in the end? ","explanation":"Let five-dollar notes = n, two-dollar notes = n \u2212 3. Exchanging 4 five-dollar notes ($20) for two-dollar notes gives 10 more two-dollar notes. New two-dollar = (n \u2212 3) + 10 = n + 7; new five-dollar = n \u2212 4. Difference = (n + 7) \u2212 (n \u2212 4) = 11 more two-dollar notes."},"25565":{"question":"At a shop, the price of 5 identical hats and 14 identical belts is the same as the price of 1 hat and 26 belts. Each hat costs \\$24 more than each belt. Find the cost of a hat. [?]","explanation":"5 hats + 14 belts = 1 hat + 26 belts \u2192 4 hats = 12 belts \u2192 1 hat = 3 belts (by value). Let 1 belt = 1 unit, 1 hat = 1 unit + $24. Then 1 unit + 24 = 3 units \u2192 2 units = 24 \u2192 1 unit = $12 (belt). Cost of a hat = $12 + $24 = $36."},"25567":{"question":"Mrs Tan bought 24 identical packets of nuts for \\$30. After the price of each packet of nuts had increased, she could only buy 20 packets with the same amount of money. What was the percentage increase in the price of each packet of nuts? [?] %","explanation":"Old price = $30 \u00f7 24 = $1.25. New price = $30 \u00f7 20 = $1.50. Increase = $0.25. Percentage increase = \\(\\dfrac{0.25}{1.25}\\times100\\)% = 20%."},"25576":{"question":"Elyse spent \\(\\dfrac{2}{5}\\) of her money and an additional \\$50 on a pair of shoes. She spent \\(\\dfrac{3}{5}\\) of the remainder and an additional \\$86 on a handbag. She spent half of the money that was left on food for \\$25. How much money did she have at first? [?]","explanation":"Working backwards: food $25 was half of what was left, so after handbag $50 was left. Before handbag: spent 3\/5 of remainder + $86, leaving $50, so 2\/5 of remainder = 50 + 86 = $136, remainder = $136 \u00f7 2 \u00d7 5 = $340. Before shoes: 3\/5 of money \u2212 $50 = $340, so 3\/5 of money = $390, money = $390 \u00f7 3 \u00d7 5 = $650."},"25579":{"question":"At a concert, 80% of the people were adults. 75% of the children at the concert were boys. There were 130 fewer boys than adults. (a) What percentage of the people at the concert were boys? [?] % (b) The price of a child's ticket was 40% of an adult ticket. A total of \\$2640 was collected at the concert. How much did an adult ticket cost? [?]","explanation":"(a) Children = 20% of people; boys = 75% \u00d7 20% = 15% of all people. (b) Boys = 15%, adults = 80%, difference = 65% = 130 people \u2192 1% = 2, so adults = 160, children = 40. Child : adult ticket value = 2 : 5. Total = (40 \u00d7 2u) + (160 \u00d7 5u) = 80u + 800u = 880u = $2640 \u2192 1u = $3. Adult ticket = 5 \u00d7 $3 = $15."},"25593":{"question":"Gavin buys $n$ notebooks at \\$4 each. He gave the cashier \\$30. How much change did he receive?","explanation":"Cost of n notebooks = $4n. Change = $30 \u2212 $4n = $(30 \u2212 4n)."},"25600":{"question":"Ah Cheng has $1\\dfrac{3}{4}$ m of ribbon. She cuts the ribbon into $\\dfrac{1}{8}$ m pieces to tie each into a bow. How many bows does she get? ","explanation":"1 3\/4 m = 7\/4 m. Number of bows = (7\/4) \u00f7 (1\/8) = (7\/4) \u00d7 8 = 14 bows."},"25605":{"question":"Sharon took a taxi from her office to home. Her taxi fare was based on the charges shown. First 1 km: \\$3.40 Every additional 400 m or less: \\$0.25 Every 45 seconds of waiting time or less: \\$0.25 The taxi stopped at a traffic light for 1 min 30 s and travelled a total distance of 5 km to reach Sharon's home. How much was her taxi fare? \\$[?]","explanation":"Distance after first 1 km = 5 \u2212 1 = 4 km = 4000 m. 4000 \u00f7 400 = 10 charges of $0.25. Waiting = 1 min 30 s = 90 s; 90 \u00f7 45 = 2 charges of $0.25. Fare = $3.40 + 10 \u00d7 $0.25 + 2 \u00d7 $0.25 = $3.40 + $2.50 + $0.50 = $6.40."},"25606":{"question":"At the market, 100 g of crabs cost \\$2.40. How much does 4 kg of crabs cost? \\$[?]","explanation":"4 kg = 4000 g. 4000 \u00f7 100 = 40 lots of 100 g. Cost = 40 \u00d7 $2.40 = $96."},"25644":{"question":"Kelvin has just enough money to buy 15 files. If the price of each file is reduced by 30\u00a2 he will be able to buy 3 more files. What is the original price of each file? Give your answer in dollars. \\$[?]","explanation":"His total money is fixed. At the reduced price he buys 15 + 3 = 18 files. The 18 extra-cheap files cost 18 \u00d7 30\u00a2 = 540\u00a2 less than 18 at the old price would, and that 540\u00a2 equals the saving spread differently \u2014 using total money M: M = 15p = 18(p \u2212 30\u00a2). So 15p = 18p \u2212 540\u00a2 \u2192 3p = 540\u00a2 \u2192 p = 180\u00a2 = $1.80. Answer: $1.80."},"25645":{"question":"Ahmad has some 10-cent, 20-cent and 50-cent coins. There are 3 times as many 50-cent coins as 20-cent coins. The number of 50-cent coins is \\(\\dfrac{3}{5}\\) of the number of 10-cent coins. The total amount of the 50-cent and 10-cent coins Ahmad has is \\$84. What is the total number of 50-cent and 10-cent coins Ahmad had? [?]","explanation":"50-cent coins = 3\/5 of 10-cent coins, so 50-cent : 10-cent = 3 : 5. Let 50-cent = 3u, 10-cent = 5u. Value = 3u \u00d7 $0.50 + 5u \u00d7 $0.10 = $1.50u + $0.50u = $2.00u = $84, so u = 42. 50-cent coins = 3 \u00d7 42 = 126, 10-cent coins = 5 \u00d7 42 = 210. Total = 126 + 210 = 336 coins. Answer: 336."},"25651":{"question":"A bag cost \\$200. Kate bought it at a 25% discount. How much did she pay for the bag after adding 8% GST?","explanation":"Discounted price = $200 \\(\\times\\) 75% = $150. Add 8% GST: $150 \\(\\times\\) 1.08 = $162."},"25657":{"question":"Sam has some 1-dollar and 20-cent coins in the ratio 2 : 5. The total value of the coins is \\$21. How many 20-cent coins does he have? [?]","explanation":"Let units be 2u of $1 coins and 5u of 20-cent coins. Value = 2u \u00d7 $1 + 5u \u00d7 $0.20 = $2u + $1u = $3u. $3u = $21, so u = 7. 20-cent coins = 5u = 35."},"25658":{"question":"The table shows Macy's savings from January to March. Her average savings for the 3 months was \\$52. How much did she save in March? January: \\$28 February: \\$70 March: ? [?]","explanation":"Total for 3 months = average \u00d7 3 = $52 \u00d7 3 = $156. March = $156 - $28 - $70 = $58."},"25665":{"question":"Macy had \\$270 less than Lindy. After Macy gave Lindy some money, Lindy had 4 times as much money as Macy. If Macy had \\$520 left, how much money did she have at first? [?]","explanation":"After: Macy = $520, Lindy = 4 \u00d7 $520 = $2080. Total = $520 + $2080 = $2600 (unchanged). Before: Macy had $270 less than Lindy, so Macy = (2600 - 270) \u00f7 2 = $1165."},"25672":{"question":"What is the value of $600 \\div 3000$?","explanation":"600 \u00f7 3000 = 6 \u00f7 30 = 0.2. Answer: 0.2."},"25674":{"question":"Meili had only the coins 5 cents, 10 cents, 20 cents, 50 cents and \\$1 in her wallet. She took three coins from her wallet and dropped them into a donation box. Which one of the following could be the amount she donated?","explanation":"She has one each of 5c, 10c, 20c, 50c and $1, and picks 3 different coins. $0.35 = 5c + 10c + 20c (3 coins). The others cannot be made with exactly three of these distinct coins. Answer: $0.35."},"25685":{"question":"Find the value of $75 + 3 \\times 5 + (21 - 18)$. ","explanation":"Order of operations: brackets first (21 \u2212 18 = 3), then multiply (3 \u00d7 5 = 15), then add: 75 + 15 + 3 = 93. Answer: 93."},"25692":{"question":"A tennis racket has a sale price of \\$135 and a usual price of \\$180. What is the percentage discount for the tennis racket? [?]","explanation":"Discount = $180 \u2212 $135 = $45. Percentage discount = \\(\\dfrac{45}{180} \\times 100\\% = 25\\%\\). Answer: 25%."},"25697":{"question":"The parking charges at ABC car park are: First hour \\$1.80; every additional half an hour \\$0.60. Mr Tan parked his car for 9 hours at ABC car park. How much did he pay, in \\$? [?]","explanation":"After the first hour, 8 hours remain = 16 half-hours. 16 \u00d7 $0.60 = $9.60. Total = $9.60 + $1.80 = $11.40. Answer: $11.40."},"25698":{"question":"Miss Tan started a fixed deposit account with \\$30 000 in a bank. The interest rate is 4% per year. How much would she have in her account at the end of one year? Give your answer in \\$. [?]","explanation":"Interest = 4% of $30 000 = $1 200. Total = $30 000 + $1 200 = $31 200. Equivalently $30 000 \u00d7 104% = $31 200. Answer: $31 200."},"25705":{"question":"In Country X, the height of six 10-cent coins is the same as that of five 20-cent coins (Diagram 1). Diagram 2 shows an unknown number of 10-cent coins stacked to the same height as another stack of 20-cent coins. The total value of the 2 stacks of coins in Diagram 2 is \\$8. (a) Find the number of 10-cent coins used in Diagram 2. (b) Find the value of all the 20-cent coins used in Diagram 2, in \\$. (a) [?] (b) [?]","explanation":"Six 10-cent coins (60c) = five 20-cent coins ($1) in height; per equal-height set: 6 ten-cent + 5 twenty-cent = 60c + $1 = $1.60. $8 \u00f7 $1.60 = 5 such sets. (a) 10-cent coins = 5 \u00d7 6 = 30. (b) 20-cent coins = 5 \u00d7 5 = 25; value = 25 \u00d7 20c = $5. Answer: (a) 30, (b) $5."},"25707":{"question":"Mrs Goh had some money. She used \\$53 to pay for 4 identical large potted plants and 7 identical small potted plants. If she bought another large potted plant, she would be short of \\$3.50. If she bought another small potted plant, she would have \\$1.50 left. (a) What is the difference in price between the large and the small potted plant, in \\$? (b) Find the price of one large potted plant, in \\$. (a) [?] (b) [?]","explanation":"(a) Buying one more large needs $3.50 more; buying one more small leaves $1.50. Difference in price = $3.50 + $1.50 = $5. (b) Money = $53. 7s + 4(1 small + $5) = 53 \u2192 7s + 4s + 20 = 53 \u2192 11s = 33 \u2192 s = $3. Large = small + $5 \u2192 $8. Check: 4 \u00d7 8 + 7 \u00d7 3 = 32 + 21 = 53. Answer: (a) $5, (b) $8."},"25709":{"question":"40 workers donated money to charity. 60% of them were male workers. Each male worker donated \\$20 and each female worker donated \\$4 more than each male worker. (a) How much money, in \\$, did the female workers donate altogether? (b) On the average, how much, in \\$, did each worker donate? (a) [?] (b) [?]","explanation":"(a) Male = 60% \u00d7 40 = 24; female = 40 \u2212 24 = 16. Each female donated $20 + $4 = $24. Female total = 16 \u00d7 $24 = $384. (b) Male total = 24 \u00d7 $20 = $480. Grand total = $480 + $384 = $864. Average = $864 \u00f7 40 = $21.60. Answer: (a) $384, (b) $21.60."},"25718":{"question":"Ninety identical pencils cost \\$57.60. What is the cost of one such pencil?","explanation":"$57.60 \u00f7 90 = ($57.60 \u00f7 9) \u00f7 10 = $6.40 \u00f7 10 = $0.64."},"25737":{"question":"Mr Tan had \\$20 more than Mr Lee at first. After Mr Tan spent \\$50 and Mr Lee spent half of his money, both of them had the same amount of money left. How much money did Mr Lee have at first? \\$[?]","explanation":"Let Mr Lee have 2 units. Mr Tan has 2 units + $20. Mr Lee left = 1 unit; Mr Tan left = 2 units + $20 \u2212 $50 = 2 units \u2212 $30. Equal: 1 unit = 2 units \u2212 $30, so 1 unit = $30. Mr Lee at first = 2 units = $60."},"25742":{"question":"Joy had a meal that cost \\$32.50 before GST at a restaurant. What was the cost of her meal after adding 8% GST? \\$[?]","explanation":"After GST = 108% of $32.50 = \\(\\dfrac{108}{100}\\times32.50 = $35.10\\)."},"25745":{"question":"Miss Wong bought two identical suitcases at a year-end sale (40% discount for all suitcases). The two suitcases cost \\$174 after discount. Find the price of one such suitcase before discount. \\$[?]","explanation":"One suitcase after discount = $174 \u00f7 2 = $87. This is 60% of the original (100% \u2212 40%). 60% \u2192 $87, so 10% \u2192 $14.50, 100% \u2192 $145."},"25746":{"question":"Mr Mohammad took a taxi from home to his office. His taxi fare was based on the charges: first 1 kilometre or less \\$4.30; every additional 400 m or less \\$0.24; every 45 seconds of waiting or less \\$0.24. The taxi stopped once at a traffic light and travelled a total distance of 7 km to reach his office. Mr Mohammad paid \\$9.10. What was the longest possible duration the taxi stopped at the traffic light? [?] s","explanation":"Distance after first 1 km = 7 \u2212 1 = 6 km = 6000 m. 6000 \u00f7 400 = 15 blocks \u2192 15 \u00d7 $0.24 = $3.60. Distance fare = $3.60 + $4.30 = $7.90. Waiting fare = $9.10 \u2212 $7.90 = $1.20. Blocks = $1.20 \u00f7 $0.24 = 5. Longest duration = 5 \u00d7 45 = 225 s."},"25752":{"question":"Ashraf had some money at first. He spent 15% of it on food and \\$810 on a new laptop. He then gave 20% of the remainder to his brother. In the end, he had \\$304 left. (a) How much money did Ashraf give to his brother? \\$[?] (b) How much money did Ashraf have at first? \\$[?]","explanation":"(a) After giving 20% of the remainder, 80% of the remainder = $304, so 20% (given to brother) = $304 \u00f7 4 = $76. (b) Remainder = $76 \u00d7 5 = $380. This remainder = 85% of original \u2212 $810 (after 15% food and the laptop): 85% \u2192 $380 + $810 = $1190, 1% \u2192 $14, 100% \u2192 $1400."},"25769":{"question":"A lollipop cost \\$0.70. There were 80 lollipops in a box. Janie bought 8 such boxes of lollipops for her class party. How much did she spend on the lollipops?","explanation":"Method: total lollipops = \\(80 \\times 8 = 640\\). Total cost = \\(640 \\times \\$0.70 = \\$448\\). Final answer: $448."},"25787":{"question":"[Paper 2 Q3] The price of a pair of shoes was \\$80 before discount. Richard bought the pair of shoes at a discount of 15% during a sale. How much did he pay for the pair of shoes? Ans: \\$[?]","explanation":"Method: he pays \\(100\\% - 15\\% = 85\\%\\) of $80. \\(85\\% \\times 80 = 0.85 \\times 80 = \\$68\\). (Or discount = \\(15\\% \\times 80 = \\$12\\); \\(80 - 12 = \\$68\\).) Final answer: $68."},"25798":{"question":"[Paper 2 Q14] A pencil and an eraser cost \\$1.05. A pencil and a ruler cost \\$0.85. Bernice paid \\$6.90 for 8 such pencils and 5 such erasers. Chandra paid \\$3.30 for some rulers. (a) What was the cost of one such eraser? \\$[?] (b) How many such rulers did Chandra buy? [?]","explanation":"Method (a): 8 pencils + 5 erasers = $6.90. Also 5 pencils + 5 erasers = \\(5 \\times \\$1.05 = \\$5.25\\). Subtract: 3 pencils = \\(6.90 - 5.25 = \\$1.65\\), so 1 pencil = \\(1.65 \\div 3 = \\$0.55\\). Then eraser = \\(1.05 - 0.55 = \\$0.30\\). (b) Ruler = \\(0.85 - 0.55 = \\$0.30\\); rulers Chandra bought = \\(3.30 \\div 0.30 = 11\\). Final answers: (a) $0.30, (b) 11 rulers."},"25802":{"question":"What is the missing number in the box? \\$3\\,000\\,000 + 10\\,000 + [?] + 8 = 3\\,014\\,008\\$","explanation":"Method: subtract the known parts from the total. $3\\,014\\,008 - 3\\,000\\,000 - 10\\,000 - 8 = 4\\,000$. The missing number is 4000."},"25806":{"question":"Mr Ravi bought some boxes of chocolates. Each box contained 12 chocolates. The total number of chocolates Mr Ravi bought was more than 50 but fewer than 100. Mr Ravi ate 7 chocolates and gave the rest equally to each of his 5 children. How many chocolates did each child get? ","explanation":"Method: the total is a multiple of 12 between 50 and 100 (60, 72, 84, 96). After eating 7 the rest must divide exactly by 5. $72 - 7 = 65$ and $65 \\div 5 = 13$. Each child got 13 chocolates."},"25807":{"question":"Fill in the boxes with the correct mathematical symbols. Each symbol can only be used once. The symbols are $+$ , $-$ , $\\times$ , $\\div$ . $56 \\;\\square\\; 4 + 3 \\;\\square\\; 8 = 38$","explanation":"Method: test the symbols using order of operations. $56 \\div 4 + 3 \\times 8 = 14 + 24 = 38$. So the first box is $\\div$ and the second box is $\\times$."},"25809":{"question":"Terry had 3 times as many \\$2-notes as \\$5-notes. He had \\$385 altogether. How many \\$5-notes did Terry have? [?]","explanation":"Method: let the number of $5-notes be 1 unit, so the $2-notes are 3 units. Value of 1 group = $5 + 3 \\times $2 = $5 + $6 = $11. Number of $5-notes = $385 \\div $11 = 35."},"25811":{"question":"Tim and Jerry were paid a total of \\$8568 for selling tickets. Tim was paid \\$5304 more than Jerry. (a) How much was Tim paid for selling the tickets? \\$[?] (b) Tim and Jerry were paid based on the number of tickets they sold. Tim sold 3 times as many tickets as Jerry. Tim was paid \\$5 more than Jerry for selling each ticket. How many tickets did Tim sell? [?]","explanation":"(a) Difference is $5304, total $8568. Jerry = (8568 - 5304) \u00f7 2 = 3264 \u00f7 2 = $1632; Tim = 1632 + 5304 = $6936. (b) Tim sold 3 times as many tickets, so Tim's price per ticket = 6936 \u00f7 (3 units) per Jerry's units; per-ticket pay difference is $5. Jerry's per-ticket pay: Tim sold 3J tickets at price (p+5), Jerry sold J at price p: 3J(p+5) = 6936 and Jp = 1632. From key: 6936 \u00f7 3 = 2312, 2312 - 1632 = 680, 680 \u00f7 5 = 136 (= Jerry's tickets J), Tim's tickets = 136 \u00d7 3 = 408."},"25823":{"question":"Kylie received a fixed sum of salary monthly. In January, she saved 20% of her salary. Her savings in February increased by 40%. Her total savings for the 2 months was \\$480. What was the sum of salary given to her monthly? \\$[?]","explanation":"January savings = 20% of salary. February savings = 140% of January = 140% \u00d7 20% = 28% of salary. Total savings = 20% + 28% = 48% of salary = $480. So 1% = $480 \u00f7 48 = $10; salary = $10 \u00d7 100 = $1000. Answer: $1000."},"25832":{"question":"Below are the prices of facial masks from three different stores. Store A \u2014 Original price: \\$4.20 for 1 mask. Promotion: 50% discount for all masks! Store B \u2014 Original price: \\$25.90 for 1 pack of 10. Promotion: For each pack bought, buy a 2nd pack at 40% discount! Store C \u2014 Original price: \\$3.80 for 1 mask. Promotion: Buy 5 get 4 free! Of the three stores, which store should Mrs Chong buy from if she wants to spend the least amount of money for 100 masks, and how much would she need to pay?","explanation":"Store A: 50% off $4.20 = $2.10 per mask; 100 masks = 100 \u00d7 $2.10 = $210. Store B: 1 pack of 10 = $25.90; buying in pairs, 2nd pack at 40% off = $25.90 + 60% \u00d7 $25.90 = $25.90 + $15.54 = $41.44 per 20 masks. 100 masks = 5 pairs = 5 \u00d7 $41.44 = $207.20. Store C: buy 5 get 4 free means 9 masks for 5 \u00d7 $3.80 = $19; for 99 masks (11 sets of 9) = 11 \u00d7 $19 = $209, plus 1 more mask at $3.80 = $212.80 for 100. Cheapest is Store B at $207.20. Answer: option 1."},"25843":{"question":"Melissa has \\$45 and Jing Zhi has \\$20. Express the amount of money Jing Zhi has as a fraction of the amount of money Melissa has.","explanation":"Method: write Jing Zhi over Melissa: \\(\\dfrac{20}{45}\\). Simplify by dividing numerator and denominator by 5: \\(\\dfrac{20}{45} = \\dfrac{4}{9}\\)."},"25844":{"question":"6 pencils cost \\$10.80. Find the cost of 9 pencils. \\$[?]","explanation":"Method (unitary): 1 pencil \\(= \\$10.80 \\div 6 = \\$1.80\\). 9 pencils \\(= 9 \\times \\$1.80 = \\$16.20\\)."},"25853":{"question":"Mr Lee has \\$6000 in his bank account. The bank gives 0.3% interest at the end of each year. He does not withdraw any of his savings. What is the total amount of money he will have in the bank at the end of one year? Ans: \\$[?]","explanation":"Interest = 0.3% of $6000 = \\(\\dfrac{0.3}{100}\\times 6000 = \\$18\\). Total = $6000 + $18 = $6018."},"25855":{"question":"The graph shows the number of tickets sold for a basketball match from Monday to Friday. (a) What was the total number of tickets sold from Monday to Wednesday? [?] (b) The usual price of a ticket was \\$70. On Friday, tickets were sold at a 5% discount. How much money was collected from the sale of tickets on Friday? \\$[?]","explanation":"From the graph: Mon = 44, Tue = 96, Wed = 80, Fri = 112. (a) Mon\u2013Wed total = 44 + 96 + 80 = 220 tickets. (b) Discount = 5% of $70 = $3.50, so sale price = $66.50. Friday tickets = 112, so money collected = 66.50 \u00d7 112 = $7448."},"25858":{"question":"At a furniture shop, office chairs are sold at the usual price of \\$106 each before GST. During a sale in October, the shop offered a 25% discount on the office chair. (a) What was the discount given for each office chair? \\$[?] (b) Karen had \\$550. What was the greatest number of chairs she could buy during the sale in October? [?]","explanation":"(a) Discount = 25% of $106 = \\(\\dfrac{25}{100}\\times 106 = \\$26.50\\). (b) Sale price = $106 - $26.50 = $79.50. $550 \\(\\div\\) $79.50 = 6 remainder $73, so Karen can buy 6 chairs."},"25859":{"question":"Xavier spent \\(\\dfrac{2}{7}\\) of his money on a laptop and a refrigerator. The refrigerator cost 2 times as much as the laptop. He spent \\(\\dfrac{1}{3}\\) of his remaining money on a vacuum cleaner. The laptop cost \\$1320 less than the vacuum cleaner. How much money did Xavier have at first? Ans: \\$[?]","explanation":"Laptop + refrigerator = \\(\\dfrac{2}{7}\\). Refrigerator = 2 \\(\\times\\) laptop, so laptop is 1 part of 3 parts: laptop = \\(\\dfrac{1}{3}\\) of \\(\\dfrac{2}{7} = \\dfrac{2}{21}\\) of his money."},"25861":{"question":"Devi had 180 butter buns and two times as many kaya buns in the morning. In the afternoon, she baked some butter buns and sold some kaya buns. The number of kaya buns sold was 5 times of the number of butter buns baked. She had the same number of butter buns and kaya buns in the end. (a) How many butter buns did Devi bake in the afternoon? [?] (b) How many buns did Devi have altogether in the end? [?] (c) The remaining buns were sold at \\$2.20 each and 1 bun was given free for every 3 buns bought. Mr Poh wanted to get 13 buns. How much money did he need to pay in total? \\$[?]","explanation":"Morning: butter = 180, kaya = 180 \\(\\times\\) 2 = 360. Difference = 360 - 180 = 180. Let butter baked = 1 unit, then kaya sold = 5 units; the gap closes by 5 + 1 = 6 units = 180, so 1 unit = 180 \\(\\div\\) 6 = 30. (a) Butter buns baked = 30. (b) Butter in the end = 180 + 30 = 210; kaya in the end = 210 (equal). Altogether = 210 + 210 = 420 buns. (c) Buy 3, get 1 free, so 4 buns per group. 13 \\(\\div\\) 4 = 3 remainder 1, so 3 free buns; Mr Poh pays for 13 - 3 = 10 buns. Working: 3 groups give 3 \\(\\times\\) 3 = 9 paid buns plus the 1 extra = 10 paid buns. 10 \\(\\times\\) $2.20 = $22."},"25894":{"question":"One packet of 4 pens was sold at \\$7.95. A stationery shop was having a promotion. For every 2 packets of pens bought, Simon received a discount of \\$1.50. He bought 28 pens in total. How much did he spend? \\$[?]","explanation":"28 pens \u00f7 4 = 7 packets. Discount applies per 2 packets: 7 \u00f7 2 = 3 (full pairs), so 3 \u00d7 $1.50 = $4.50 discount. Cost before discount = 7 \u00d7 $7.95 = $55.65. Total = $55.65 \u2212 $4.50 = $51.15."},"25896":{"question":"The table shows the charges for water usage in Singapore: First 40 m\u00b3 at \\$1.21 per m\u00b3; above 40 m\u00b3 at \\$1.52 per m\u00b3. Mrs Tan's family used 43 m\u00b3 of water in October. How much did Mrs Tan have to pay? \\$[?]","explanation":"43 m\u00b3 = 40 m\u00b3 + 3 m\u00b3. First 40 m\u00b3: 1.21 \u00d7 40 = $48.40. Above 40: 1.52 \u00d7 3 = $4.56. Total = 48.40 + 4.56 = $52.96."},"25899":{"question":"Mr Chan had a sum of money at first. He gave \\(\\dfrac{2}{5}\\) of it to his wife. He gave \\(\\dfrac{3}{4}\\) of the remainder to his two children. Each child received the same amount of money. Mr Chan saved the rest of his money. He saved \\$378. How much did Mr Chan give to each of his children? \\$[?]","explanation":"After the wife: remainder = 3\/5 of the money. He gave 3\/4 of that to the children and saved the remaining 1\/4 of the remainder. That saved 1\/4 = $378, so the remainder = 4 \u00d7 $378 = $1512. The children together got 3\/4 \u00d7 $1512 = $1134; shared between 2 children = $1134 \u00f7 2 = $567 each."},"25900":{"question":"A sofa cost \\$1850. Bala bought the sofa during a sale and a discount of 25% was given. (a) What was the discounted price? \\$[?] (b) Bala was charged 8% GST on the discounted price. How much did he pay for the sofa including GST? \\$[?]","explanation":"(a) 25% discount means pay 75%: 1850 \u00f7 4 = 462.50; 462.50 \u00d7 3 = $1387.50. (b) 8% GST on 1387.50 = 1387.50 \u00f7 100 \u00d7 8 = $111; total = 1387.50 + 111 = $1498.50."},"25901":{"question":"At a carnival, a child ticket is \\$10 and an adult ticket is \\$25. The number of children was thrice the number of women. The number of women was twice the number of men. There were 210 children at the carnival. How much more was collected from the sale of adult tickets compared to child tickets? \\$[?]","explanation":"Children = 3 \u00d7 women = 210, so women = 70. Women = 2 \u00d7 men, so men = 35. Adults = women + men = 70 + 35 = 105. Adult collection = 105 \u00d7 $25 = $2625. Child collection = 210 \u00d7 $10 = $2100. Difference = 2625 \u2212 2100 = $525."},"25929":{"question":"Eric saved \\$20 000 in a bank for one year. The bank paid 2% interest rate at the end of each year. How much did he earn as interest at the end of the year? \\$[?]","explanation":"Interest = 2% of $20 000 = 2\/100 x $20 000 = $400."},"25932":{"question":"2 pencils and 4 notebooks cost \\$26. 4 pencils and 2 notebooks cost \\$22. Find the cost of 1 notebook. \\$[?]","explanation":"Double the first set: 4 pencils + 8 notebooks = $52. Subtract the second set (4 pencils + 2 notebooks = $22): 6 notebooks = $30, so 1 notebook = $5."},"25934":{"question":"The table shows the charges for renting a bicycle at Pasir Ris Park. First hour: \\$6 Every additional 30 min or less: \\$2.50 Adam rented a bicycle from 2.00 to 4.50 pm. How much did he pay for the rental? \\$[?]","explanation":"Total time 2.00 to 4.50 pm = 2 h 50 min. First hour = $6. Remaining 1 h 50 min = 110 min = 4 blocks of 30 min (4 x $2.50 = $10). Total = $6 + $10 = $16."},"25946":{"question":"Sheena was given \\$8 as pocket money each day. On Mondays to Fridays, she spent \\$5.60 every day and saved the rest. She did not spend any money on the weekends and saved her pocket money. Sheena started saving on Monday. How many days would it take for Sheena to save \\$35.20? [?]","explanation":"Total pocket money in a week = $8 x 7 = $56. She spends $5.60 x 5 = $28 on weekdays, so she saves $56 - $28 = $28 in 7 days. After 7 days she still needs $35.20 - $28 = $7.20. A weekday saves $8 - $5.60 = $2.40, so $7.20 \u00f7 $2.40 = 3 more weekdays. Total = 7 + 3 = 10 days."},"25950":{"question":"A brochure shows a SALE in Shop A: 35% discount. (a) Anita bought 2 of the same leather bags during the sale. The usual price of the leather bag was \\$450. Find the amount of discount she received for both bags. \\$[?] (b) Meili bought a backpack at the sale. The usual price of the backpack was 40% of the usual price of the leather bag. What was the discounted price of the backpack? \\$[?]","explanation":"(a) Discount = 35% of (2 x $450 = $900) = 35\/100 x $900 = $315. (b) Usual backpack price = 40% x $450 = $180. Discounted price = 65% x $180 = $117."},"25951":{"question":"Siti's mother gave her some money. Siti had just enough money to buy 68 files at the usual price. During a sale, Siti was given a discount of \\$3.40 for each file. As a result, she was able to buy 19 more files and had \\$3.20 left. (a) What was the price of one file during the sale? \\$[?] (b) How much did Siti's mother give her? \\$[?]","explanation":"(a) Total discount over the original 68 files = 68 x $3.40 = $231.20. This pays for 19 extra files less the $3.20 left: 19 files = $231.20 - $3.20 = $228, so 1 file (sale) = $228 \u00f7 19 = $12. (b) Total files bought = 68 + 19 = 87; money given = 87 x $12 + $3.20 = $1047.20."},"25952":{"question":"Ali and Betty had a total of $5700. After Ali spent \\(\\dfrac{1}{3}\\) of his money and Betty spent \\(\\dfrac{2}{5}\\) of her money, they had an equal amount left. Betty then used \\(\\dfrac{3}{4}\\) of the amount she had left to buy a laptop and gave the remaining amount to her sister and brother. Betty's brother received 3 times the amount that Betty's sister received. (a) How much did Betty have at first? (b) How much did Betty's sister receive?","explanation":"Ali keeps 2\/3, Betty keeps 3\/5; these are equal. Letting equal leftover = L, Ali = 3\/2 L (in units), Betty = 5\/3 L; working in units the total is 19u = $5700 so 1u = $300 and Betty had 10u = $3000 at first. Betty's leftover = 3\/5 x $3000 = $1800; she gives away 1\/4 = $450 to the two siblings. Sister : brother = 1 : 3, so sister gets 1\/4 of $450 = $112.50."},"25983":{"question":"Mdm Leong had some money. She spent \\$80 and had \\$45 left. What percentage of her money did she spend? [?] %","explanation":"Total money = 80 + 45 = 125. Percentage spent = 80\/125 x 100% = 64%. Answer: 64%."},"25989":{"question":"The table shows the postage rates for sending packages to Indonesia: not over 20 g costs 60 cents, not over 50 g costs 80 cents, not over 100 g costs \\$1.20, every additional 100 g costs \\$1.20. Ali sent two packages with a mass of 50 g and 370 g respectively. How much postage did Ali pay altogether? \\$[?]","explanation":"50 g package = 80 cents. 370 g package: first 100 g = $1.20, then 3 additional 100 g steps (to cover up to 400 g) at $1.20 each = $1.20 + 3 x $1.20 = $4.80. Total = $4.80 + $0.80 = $5.60. Answer: $5.60."},"25991":{"question":"The usual price of a television set was \\$6000. Mr Jones bought the television set at a 15% discount. (a) How much was the discount? \\$[?] (b) GST is 8% of the discounted price. How much did Mr Jones pay for the television set inclusive of GST? \\$[?]","explanation":"(a) Discount = 15% x $6000 = $900. (b) Discounted price = $6000 \u2212 $900 = $5100. With 8% GST: $5100 x 108% = $5508. Answers: $900; $5508."},"25997":{"question":"Chicken bites cost \\$2.65 for one box and fishball costs \\$1.85 for one stick. Bundle offers: one box of chicken bites + one stick of fishball costs \\$4.20; 3 sticks of fishballs cost \\$5. Belinda wants to buy 43 boxes of chicken bites and 48 sticks of fishballs for a class party. What is the least amount of money that she has to pay? \\$[?]","explanation":"Use 42 of the $4.20 bundles (42 boxes + 42 sticks) = 42 x $4.20 = $176.40. Remaining: 1 box + 6 sticks. Best for the leftover: 1 box ($2.65) + two '3-for-$5' fishball bundles (6 sticks) = $2.65 + 2 x $5 = $12.65. Total = $176.40 + $12.65 = $189.05. Answer: $189.05."},"26000":{"question":"The table shows the total sales of three magazines in a month (Sports \\$1950, Science \\$1448, Math \\$1850). The bar graph shows the selling price of each magazine. (a) Which magazine had the greatest number of copies sold? [?] (b) The magazine vendor donated \\(\\dfrac{1}{4}\\) of the sales of the magazines to charity. How much was the donation? \\$[?]","explanation":"From the bar graph the prices are Sports $6, Science $4, Math $5. Copies = sales \\(\\div\\) price: Sports 1950 \\(\\div\\) 6 = 325, Science 1448 \\(\\div\\) 4 = 362, Math 1850 \\(\\div\\) 5 = 370. (a) Math sold the most copies. (b) Total sales = 1950 + 1448 + 1850 = 5248; donation = \\(\\dfrac{1}{4}\\times5248\\) = $1312."},"26008":{"question":"Thomas had $1200. He spent 35% of his money on food. How much money did he spend on food?","explanation":"35% of $1200 = \\(\\dfrac{35}{100}\\times 1200 = 420\\). He spent $420 on food."},"26027":{"question":"Sophia paid \\$87.40 for 3 identical pencils and 7 identical markers. The price of a marker is \\$1.20 more than the price of a pencil. Tim bought 10 such pencils. What was the amount of money he paid for 10 such pencils? [?]","explanation":"Replace each marker with (pencil + $1.20): 3 pencils + 7 pencils + 7 \u00d7 $1.20 = $87.40. So 10 pencils + $8.40 = $87.40, giving 10 pencils = $79.00. Tim paid $79 for 10 pencils."},"26029":{"question":"What is the price of the refrigerator after adding 8% GST? The price before GST is $2800. ","explanation":"GST = 8% of $2800 = \\(\\dfrac{8}{100}\\times 2800 = 224\\). Price after GST = $2800 + $224 = $3024."},"26037":{"question":"The total cost of 2 identical files and 3 identical markers was \\$15. The total cost of 5 such files and 6 such markers was \\$34.80. What was the cost of 1 such marker? [?]","explanation":"Double the first set: 4 files + 6 markers = $30. Compare with 5 files + 6 markers = $34.80. The difference is 1 file = $34.80 \u2212 $30 = $4.80. Then 2 \u00d7 $4.80 + 3 markers = $15, so 3 markers = $15 \u2212 $9.60 = $5.40, and 1 marker = $1.80."},"26039":{"question":"Jason, Peter and Chris shared a sum of money in the ratio 5 : 9 : 2. The difference between Peter's share and Jason's share is $128. How much more money did Peter have than Chris? ","explanation":"Peter : Jason difference = 9 \u2212 5 = 4 units = $128, so 1 unit = $32. Peter \u2212 Chris = 9 \u2212 2 = 7 units = 7 \u00d7 $32 = $224."},"26046":{"question":"Using the parking charges at Value Shopping Mall, each statement below is either true, false or not possible to tell from the information given. For each statement, indicate true \/ false \/ not possible to tell: (i) Mr Lim paid \\$5 when he parked his car from 6 p.m. till next morning 8.45 a.m. (ii) Mr Tan paid \\$1.20 when he parked his car for 30 minutes. (iii) Some cars entered at 6 p.m. and exited at 6.50 p.m. on the same day. The parking charges for these cars were \\$7.20.","explanation":"(a) 9.30 a.m. to 11.45 a.m. = 2 h 15 min. First hour = $1.20. Remaining 1 h 15 min = 3 half-hour blocks (part thereof) \u00d7 $1.00 = $3.00. Total = $1.20 + $3.00 = $4.20. (b) Parking from 4.30 p.m. till next morning 9 a.m. is charged the overnight flat rate of $5.00 per entry."},"26062":{"question":"Ally and Bella had the same amount of money at first. After Ally spent \\$20 and Bella spent \\$80, Ally had 3 times as much money as Bella. How much money did Bella have at first?","explanation":"Let starting amount = m. After spending: Ally = m-20, Bella = m-80, and m-20 = 3(m-80). So m-20 = 3m-240, 220 = 2m, m = 110. Bella had $110 at first. Answer: $110."},"26074":{"question":"Mr Tan had \\$8000. He gave \\$2000 to his wife and deposited the remaining amount in the bank. The bank paid 5% interest at the end of each year. How much money did he have in the bank at the end of 1 year? \\$[?]","explanation":"Deposited = 8000 - 2000 = $6000. Interest = 5% of 6000 = $300. Total in bank = 6000 + 300 = $6300. Answer: $6300."},"26078":{"question":"The table shows the charges for bicycle rental: First hour \\$6.00; every additional \\(\\dfrac{1}{2}\\) hour or part thereof \\$2.50. John and his brother rented a bicycle each from 2.00 p.m. to 4.15 p.m. How much did they pay altogether? \\$[?]","explanation":"2.00 to 4.15 p.m. = 2 h 15 min. First hour = $6.00. Remaining 1 h 15 min = three half-hour blocks (0.5+0.5+0.25 rounded up) = 3 \u00d7 $2.50 = $7.50. One bike = $6.00 + $7.50 = $13.50. Two bikes = 2 \u00d7 $13.50 = $27. Answer: $27."},"26085":{"question":"Shanti bought 1.3 kg of grapes priced at 80\u00a2 per 100 g. How much did she pay? $","explanation":"1.3 kg = 1300 g = 13 lots of 100 g. Cost = 13 \u00d7 $0.80 = $10.40. Answer: $10.40."},"26086":{"question":"Mrs Lim paid \\$53 for 5 mugs and 4 bowls. The cost of each bowl was \\$2 more than the cost of each mug. How much did Mrs Lim pay for the 5 mugs? \\$[?]","explanation":"4 bowls cost 4 \u00d7 $2 = $8 more than 4 mugs. Remove that: $53 - $8 = $45 for 9 items at the mug price. 1 mug = $45 \u00f7 9 = $5. 5 mugs = 5 \u00d7 $5 = $25. Answer: $25."},"26088":{"question":"The graph shows the amount of money Belinda saved from January to June. Part of the graph is covered by an ink blot. The total amount of money saved from April to June is twice as much as the total amount of money saved from January to February. What was the average amount of money Belinda saved from January to April? $","explanation":"From the bar graph: Jan $45, Feb $25, Mar $0, Apr $65. Total Jan-Apr = 45 + 25 + 0 + 65 = $135. Average = 135 \\(\\div\\) 4 = $33.75."},"26113":{"question":"Ken saved \\(\\dfrac{1}{4}\\) of his allowance and spent \\(\\dfrac{3}{5}\\) of the remaining allowance on food. He had $72 left. How much was his allowance?","explanation":"Remaining after saving \\(= \\dfrac{3}{4}\\). He spent \\(\\dfrac{3}{5}\\) of that on food, leaving \\(\\dfrac{2}{5}\\) of the remainder. So $72 \\(= \\dfrac{2}{5} \\times \\dfrac{3}{4}\\) of allowance \\(= \\dfrac{6}{20} = \\dfrac{3}{10}\\) of allowance. Allowance \\(= 72 \\div \\dfrac{3}{10} = 72 \\times \\dfrac{10}{3} = \\$240\\)."},"26115":{"question":"Matthew had \\$25 more than Amy. When Amy gave Matthew \\$20, Matthew had 6 times as much money as Amy. How much money did Amy have at first?","explanation":"Let Amy have $a, so Matthew has $(a+25). After Amy gives $20: Matthew has $(a+45), Amy has $(a-20). Then \\(a+45 = 6(a-20)\\), so \\(a+45 = 6a-120\\), \\(165 = 5a\\), \\(a = 33\\). Amy had $33."},"26116":{"question":"Ben shared a sum of money equally with Carla. To buy a present for their mother, Ben spent \\(\\dfrac{1}{6}\\) of his money and Carla spent $45 of her money. In the end, \\(\\dfrac{3}{4}\\) of the original sum of money was left. What was the original sum of money shared by Ben and Carla?","explanation":"Each had half the total, T\/2. Together they spent \\(\\dfrac{1}{4}\\) of T (since \\(\\dfrac{3}{4}\\) is left), so total spent \\(= \\dfrac{T}{4}\\). Ben spent \\(\\dfrac{1}{6} \\times \\dfrac{T}{2} = \\dfrac{T}{12}\\); Carla spent $45. So \\(\\dfrac{T}{12} + 45 = \\dfrac{T}{4}\\). Then \\(45 = \\dfrac{T}{4} - \\dfrac{T}{12} = \\dfrac{2T}{12} = \\dfrac{T}{6}\\), giving \\(T = 270\\). Original sum was $270."},"26123":{"question":"Jill had $400. She spent 20% of her money on books. How much money did Jill spend on books? ","explanation":"20% of $400 \\(= \\dfrac{20}{100} \\times 400 = \\$80\\)."},"26131":{"question":"$30\\,000 + 4000 + 500 + 6 =$","explanation":"Expanded form: 30 000 + 4000 + 500 + 6 = 34 506. Final answer: 34 506."},"26145":{"question":"Amy has twice as many \\$20 notes as \\$50 notes in a box. The total value of the money in the box is \\$6300. How many \\$20 notes are there in the box?","explanation":"Let $50 notes = 1 unit, $20 notes = 2 units. Value = 1\u00d750 + 2\u00d720 = 90 per unit. Units = 6300 \u00f7 90 = 70. $20 notes = 2 \u00d7 70 = 140. Final answer: 140."},"26147":{"question":"Find the value of $400 \\times 17$ ","explanation":"400 \u00d7 17 = 4 \u00d7 17 \u00d7 100 = 68 \u00d7 100 = 6800. Final answer: 6800."},"26148":{"question":"What is the value of $40 - (3 + 13) \\div 4 \\times 2$? ","explanation":"Brackets first: 3 + 13 = 16. Then left to right for \u00f7 and \u00d7: 16 \u00f7 4 = 4, 4 \u00d7 2 = 8. Finally 40 - 8 = 32. Final answer: 32."},"26156":{"question":"A store rewards customers with 6 points for every \\$50 spent. Mrs Tan spent \\$240 at the store. What is the total number of points Mrs Tan receives from the store? [?]","explanation":"Number of complete $50 blocks in $240 = 240 \u00f7 50 = 4 (remainder $40, no points). Points = 4 \u00d7 6 = 24. Final answer: 24."},"26158":{"question":"The table shows the number of cups of bubble tea each person bought at a Charity Fair. How much money was collected if each cup of bubble tea was sold at \\$6 per cup? Ans: \\$[?]","explanation":"Total cups = (1\u00d740) + (2\u00d720) + (3\u00d715) + (4\u00d75) = 40 + 40 + 45 + 20 = 145 cups. Money = 145 \u00d7 $6 = $870. Final answer: $870."},"26165":{"question":"Yu Wen had $7000 in her bank account. The bank paid 2% interest at the end of each year. She did not withdraw any of her savings. How much interest did she earn at the end of 1 year?","explanation":"Interest = 2% of $7000 = \\(\\dfrac{2}{100}\\times 7000 = \\$140\\). Answer: $140."},"26171":{"question":"A sandwich costs \\$6.05. Leonard bought 4 such sandwiches and had \\$1.85 left. How much money did he have before buying the 4 sandwiches?","explanation":"Cost of 4 sandwiches = 4 \u00d7 $6.05 = $24.20. Money before = $24.20 + $1.85 = $26.05. Answer: $26.05."},"26172":{"question":"Amiya and Eunice have $2100 altogether. Amiya has 30% of the money. How much money does Amiya have?","explanation":"30% of $2100 = \\(\\dfrac{30}{100}\\times 2100 = \\$630\\). Answer: $630."},"26173":{"question":"A store charges the following rates for the order of T-shirts: first 15 pieces at \\$6 per piece, every additional piece at \\$4 per piece. What is the cost of ordering 50 pieces of T-shirts?","explanation":"First 15 pieces: 15 \u00d7 $6 = $90. Additional pieces: 50 \u2212 15 = 35 pieces \u00d7 $4 = $140. Total = $90 + $140 = $230. Answer: $230."},"26179":{"question":"Mrs Cheah bought an iron which included a GST of 7%. The price of the iron before GST was \\$90. How much did she pay for the iron? Ans: \\$ [?]","explanation":"GST = 7% of $90 = \\(\\dfrac{7}{100}\\times 90 = \\$6.30\\). Total paid = $90 + $6.30 = $96.30. Answer: $96.30."},"26187":{"question":"The bar graph shows the number of pupils who donated to charity over 4 days. The bar representing Day 4 has not been drawn. Day 1 = 50, Day 2 = 60, Day 3 = 30. Over the 4 days, all the pupils donated a total amount of \\$460. Each pupil donated \\$2. How many pupils donated on Day 4? [?]","explanation":"From the bar graph, Day 1 = 50, Day 2 = 60, Day 3 = 30. Total pupils over 4 days = $460 \\(\\div\\) $2 = 230. Days 1-3 = 50 + 60 + 30 = 140, so Day 4 = 230 \\(-\\) 140 = 90 pupils."},"26195":{"question":"Cecily and Nadine shared the total cost of a handbag. Cecily paid \\$39 more than \\(\\dfrac{4}{9}\\) of the total cost of the handbag. Nadine paid \\$186. How much did the handbag cost? Ans: \\$ [?]","explanation":"Cecily paid \\(\\dfrac{4}{9}\\) of the cost + $39, so Nadine paid the rest: total \u2212 (\\(\\dfrac{4}{9}\\) + $39) = \\(\\dfrac{5}{9}\\) of the cost \u2212 $39. So \\(\\dfrac{5}{9}\\) of the cost \u2212 $39 = $186, giving \\(\\dfrac{5}{9}\\) of the cost = $225. \\(\\dfrac{1}{9}\\) = 225 \u00f7 5 = $45, so total = 45 \u00d7 9 = $405. Answer: $405."},"26196":{"question":"The table shows the charges for renting a bicycle: Mon to Fri 9 a.m. to 8 p.m. \\$11 per hour; Sat and Sun 8 a.m. to 4 p.m. \\$14 per hour, 4 p.m. to 7 p.m. \\$15 per hour. (a) Lei Xin rented a bicycle from 9 a.m. to 12 noon on Thursday. How much did she pay? Ans: \\$ [?] (b) On Sunday, Deric rented a bicycle and returned it at 5 p.m. He paid a total amount of \\$71. How many hours did he rent the bicycle? Ans: [?]","explanation":"(a) Thursday is a weekday: $11\/hour. 9 a.m. to 12 noon = 3 hours. 3 \u00d7 $11 = $33. (b) Sunday rates: $14\/hour up to 4 p.m., $15\/hour from 4 to 7 p.m. He returned at 5 p.m. paying $71. The 4-5 p.m. hour costs $15, leaving $71 \u2212 $15 = $56 for the earlier hours at $14: 56 \u00f7 14 = 4 hours, plus the 1 hour from 4-5 p.m. = 5 hours total. Answer: (a) $33 (b) 5 hours."},"26200":{"question":"At Doughnut Empire, each doughnut is sold at \\$1.10 or in a box of 11 for \\$8.90. Mrs Kor wants to buy exactly 208 doughnuts. What is the least amount of money that she needs to pay for the doughnuts? Ans: \\$ [?]","explanation":"Boxes are cheaper per doughnut ($8.90 \u00f7 11 \u2248 $0.81 vs $1.10). 208 \u00f7 11 = 18 boxes (198 doughnuts) remainder 10. Buy 18 boxes: 18 \u00d7 $8.90 = $160.20, covering 198 doughnuts; buy the remaining 10 singly: 10 \u00d7 $1.10 = $11. Total = $160.20 + $11 = $171.20. Answer: $171.20."},"26218":{"question":"The table shows the rates for renting a bicycle at a shop. First hour: \\$8 Every additional 30 min or part thereof: ? Daisy rented two bicycles from 3.00 pm to 5.50 pm. She paid a total of \\$32 for renting the bicycles. How much did Daisy have to pay for every additional 30 min or part thereof for renting a bicycle?","explanation":"Method: work out the charge per bicycle, then the additional-period rate. 3.00 pm to 5.50 pm = 2 h 50 min. First hour = $8; the remaining 1 h 50 min = 110 min = 4 blocks of 30 min (part thereof rounds up). Total for two bicycles = $32, so each bicycle = $16. Additional charge per bicycle = $16 \u2013 $8 = $8 over 4 blocks = $2 per 30 min. Final answer: $2."},"26229":{"question":"Zhi Xiang went to a shop to buy a bag. The shop gave a discount of \\$5 for every \\$25 spent. Zhi Xiang paid \\$96 for a bag. What was the price of the bag before the discount? [?]","explanation":"Method: for every $25 of original price the customer pays $20 (after $5 discount). $96 paid \u00f7 $20 = 4.8 groups \u2192 but using whole $25 groups: 4 full groups cost $80 (original $100), remaining $16 paid corresponds to $16 original (no further $25 reached). Original = $100 + $16 = $116. Check: total discount = $20, $116 \u2013 $20 = $96. Final answer: $116."},"26231":{"question":"Christopher has \\$63. Box of 9 cupcakes \u2013 \\$25 1 cupcake \u2013 \\$3 What is the greatest number of cupcakes he can buy? [?]","explanation":"Method: maximise cupcakes per dollar. A box of 9 for $25 is best value. 2 boxes = $50 for 18 cupcakes, leaving $63 \u2013 $50 = $13. With $13 at $3 each, buy 4 single cupcakes ($12). Total = 18 + 4 = 22 cupcakes. Final answer: 22."},"26235":{"question":"Corinne saved 20% of her monthly income. In August, her income decreased by 15%. As a result, her savings in August was decreased by \\$120 compared to her savings in July. What was her income in July? [?]","explanation":"Method: July savings = 20% of income. After a 15% income drop, savings = 20% \u00d7 85% = 17% of July income. The fall in savings = 20% \u2013 17% = 3% of July income = $120. So 1% = $40, and 100% = $4000. Final answer: $4000."},"26240":{"question":"A shop sold electronic devices was having a sale. 1st item at 15% discount, 2nd item at 20% discount. Price of 2nd item must be equal or lower than the price of 1st item. Mr Poh bought a tablet at \\$230 and a laptop at \\$550. How much did he pay for the two items? [?]","explanation":"Method: the 1st item (15% off) must be the higher-priced one, so the laptop ($550) gets 15% off and the tablet ($230) gets 20% off. Laptop = 85% \u00d7 $550 = $467.50. Tablet = 80% \u00d7 $230 = $184. Total = $467.50 + $184 = $651.50. Final answer: $651.50."},"26241":{"question":"A shop sale gives the 1st item 15% discount and the 2nd item 20% discount (2nd item priced equal or lower than the 1st). Mr Chian bought two identical smart watches. He received a total discount of \\$147. What was the price of one smart watch before the discount? [?]","explanation":"Method: identical watches, so one gets 15% off and the other 20% off. Total discount = 15% + 20% = 35% of one watch's price = $147. So 1% = $147 \u00f7 35 = $4.20, and 100% = $420. Final answer: $420."},"26247":{"question":"At a school bookshop, erasers are only sold in packs of 4 and pencils are only sold in packs of 5. Erasers: 4 for \\$1.99. Pencils: 5 for \\$2.99. Mr Lim spent \\$139.45 buying some erasers and pencils for Children's Day. He put all the erasers and pencils into bags. The ratio of the number of erasers to the number of pencils in each bag was 2 : 3. How many pencils did he buy? [?]","explanation":"Method: erasers : pencils = 2 : 3, but they are bought in packs of 4 and 5, so a whole-pack ratio is (4\u00d75) : (5\u00d76) = 20 erasers : 30 pencils per set, i.e. 5 eraser-packs and 6 pencil-packs. Cost of one set = ($1.99 \u00d7 5) + ($2.99 \u00d7 6) = $9.95 + $17.94 = $27.89. Number of sets = $139.45 \u00f7 $27.89 = 5 sets. Pencils = (5 \u00d7 6) \u00d7 5 = 150 pencils. Final answer: 150."},"26249":{"question":"Gary spent \\(\\dfrac{5}{8}\\) of his money on 10 identical notebooks and 10 identical files, then \\(\\dfrac{5}{6}\\) of his remaining money on a bag. Each file cost \\$4 more than each notebook and the bag cost \\$38 more than each notebook. How much money had Gary left? [?]","explanation":"Method: let each notebook = nb. Bag spends \\(\\dfrac{5}{16}\\) of money (from part a), books\/files spend \\(\\dfrac{5}{8}=\\dfrac{10}{16}\\), so left = \\(1-\\dfrac{10}{16}-\\dfrac{5}{16}=\\dfrac{1}{16}\\). The key solves: 20nb + $40 = 2nb + $76 \u2192 18nb = $36 \u2192 nb = $2. Bag = $38 + $2 = $40; file = $4 + $2 = $6. Books+files cost = (10\u00d7$2)+(10\u00d7$6) = $80 = \\(\\dfrac{5}{8}\\) of money, so total money: 5u = $40, 1u = $8, 16u = $128. Spent so far $80 + $40 = $120; left = $128 \u2013 $120 = $8. Final answer: $8."},"26263":{"question":"Aaron had \\$55 more than Shanti at first. After Aaron used \\(\\dfrac{2}{5}\\) of his money and Shanti used \\(\\dfrac{1}{3}\\) of her money, Aaron had \\$27 more than Shanti. How much did Shanti have left at the end?","explanation":"Let Shanti = S, Aaron = S + 55. After spending: Aaron has \\(\\dfrac{3}{5}(S+55)\\), Shanti has \\(\\dfrac{2}{3}S\\). Difference: \\(\\dfrac{3}{5}(S+55) \u2212 \\dfrac{2}{3}S = 27\\). \\(\\dfrac{3}{5}S + 33 \u2212 \\dfrac{2}{3}S = 27\\); \\(-\\dfrac{1}{15}S = -6\\); S = 90. Shanti left = \\(\\dfrac{2}{3} \u00d7 90 = 60\\)."},"26264":{"question":"A sum of money was shared between John and Ken in the ratio 3 : 4. John used all his money to buy 8 identical toy cars that cost \\$1.50 each. Ken used some of his money to buy 3 such toy cars. How much money had Ken left?","explanation":"John spent 8 \u00d7 $1.50 = $12 (all his share, 3 units). So 1 unit = $4, Ken's share = 4 units = $16. Ken bought 3 cars = 3 \u00d7 $1.50 = $4.50. Ken left = $16 \u2212 $4.50 = $11.50."},"26272":{"question":"The table shows the prices of pens and erasers sold at a bookshop: an Eraser costs \\(b\\) cents and a Pen costs \\(2b\\) cents. Mark spent \\$4.20 on 5 erasers and 1 pen. Find the value of \\(b\\). [?]","explanation":"Cost = 5 erasers + 1 pen = \\(5b + 2b = 7b\\) cents. $4.20 = 420 cents, so \\(7b = 420\\), giving \\(b = 60\\)."},"26278":{"question":"Peter spent \\$60 of his weekly allowance and saved the rest. During Christmas, his spending increased by 20%. As a result, his savings decreased by 10%. How much was his weekly allowance? [?]","explanation":"Let allowance = A. Original savings = A \u2212 60. New spending = 60 \u00d7 1.2 = 72. New savings = 0.9(A \u2212 60). Also new savings = A \u2212 72. So A \u2212 72 = 0.9(A \u2212 60) = 0.9A \u2212 54, giving 0.1A = 18, A = 180."},"26288":{"question":"Mdm Siti bought \\(4p\\) kg of beef at \\$7 per kg and \\(6p\\) kg of chicken at \\$8 per kg for Hari Raya. Express the total amount she spent in terms of \\(p\\).","explanation":"(a) Beef cost = 4p \u00d7 7 = 28p; chicken cost = 6p \u00d7 8 = 48p. Total = 28p + 48p = 76p dollars. (b) When p = 2: 76 \u00d7 2 = $152."},"26290":{"question":"At first, Sam had \\(\\dfrac{2}{5}\\) as much money as Paul. Ean had \\$36 more than Sam. After Paul gave \\$98 to Sam and some money to Ean, all three boys had the same amount of money. How much did they have altogether? [?]","explanation":"Let Paul = 5u, Sam = 2u, Ean = 2u + 36. The total money is unchanged by transfers. In the end each boy has the same amount M, so 3M = total = 5u + 2u + (2u + 36) = 9u + 36. Sam's final = 2u + 98 = M. From the printed key, solving gives M = 270, so total = 3 \u00d7 270 = $810."},"26317":{"question":"Jessie had a total of thirty 20\u00a2 and 10\u00a2 coins. She exchanged all the 10\u00a2 coins for 20\u00a2 coins and had a total of seventeen 20\u00a2 coins after the exchange. How many 10\u00a2 coins did she have at first? ","explanation":"Value of 17 twenty-cent coins = 17 \u00d7 20\u00a2 = $3.40. Original 30 coins, if all were 20\u00a2, would be $6, but the value is only $3.40, a shortfall caused by the 10\u00a2 coins. Each 10\u00a2 coin is 10\u00a2 short of a 20\u00a2 coin; shortfall = $6 \u2212 $3.40 = $2.60, so number of 10\u00a2 coins = $2.60 \u00f7 10\u00a2 = 26. Answer: 26."},"26326":{"question":"$80\\,000 + 4\\,000 + 300 + 7 = \\boxed{?}$ What is the missing number in the box?","explanation":"Add the place values: 80 000 + 4 000 + 300 + 7 = 84 307. Answer: 84 307."},"26349":{"question":"During a sale, a shop sold t-shirts at a discount of \\$15 per t-shirt. Members were given a further discount of 25% on all purchases. Elaine is a member and paid \\$216 for 6 such t-shirts. What is the price of each t-shirt without any discount? \\$[?]","explanation":"$216 for 6 t-shirts = $36 each (member price). $36 is 75% of the price after the $15 discount, so price after $15 discount = 36 \/ 0.75 = $48. Original price = $48 + $15 = $63. Answer: $63."},"26360":{"question":"At first, Jason had \\$210 and Ruth had \\$154. After they both spent an equal amount of money, the amount of money Jason and Ruth each had left were in the ratio 7 : 3. How much did each of them spend? \\$[?]","explanation":"Difference stays the same: 210 - 154 = 56. In ratio 7 : 3 the difference is 4 units = 56, so 1 unit = 14. Jason left = 7 units = 98. Spent = 210 - 98 = $112. Answer: $112."},"26366":{"question":"Boxes A and B contain an equal number of coins. \\(\\dfrac{1}{4}\\) of the coins in Box A are 10-cent coins while the rest are 50-cent coins. \\(\\dfrac{1}{3}\\) of the coins in Box B are 10-cent coins while the rest are 20-cent and 50-cent coins. Given that the total value of all the coins in Box A is \\$86.40, find the total number of coins in Box B. [?]","explanation":"Take Box A as 4 units: 1 unit are 10-cent, 3 units are 50-cent. Value of 4 units (in cents) = 1(10) + 3(50) = 160 cents per 4-coin group. $86.40 = 8640 cents; 8640 \/ 160 = 54 groups; coins in Box A = 54 x 4 = 216. Box B has the same number = 216 coins. Answer: 216."},"26367":{"question":"Boxes A and B contain 216 coins each. \\(\\dfrac{1}{3}\\) of the coins in Box B are 10-cent coins while the rest are 20-cent and 50-cent coins. The total value of all the coins in Box B is \\$50.10. Find the number of 20-cent coins in Box B. [?]","explanation":"Box B has 216 coins; 1\/3 = 72 are 10-cent coins worth 720 cents. Remaining 144 coins are 20-cent and 50-cent, worth 5010 - 720 = 4290 cents. If all 144 were 50-cent: 144 x 50 = 7200 cents. Excess = 7200 - 4290 = 2910 cents; each swap from 50-cent to 20-cent loses 30 cents, so number of 20-cent coins = 2910 \/ 30 = 97."},"26368":{"question":"Storewide Closing Down Sale: 1st item at 40% discount, 2nd item at 50% discount (price of the 2nd item must be equal to or lower than the price of the 1st item). Mary bought 2 different bags. The original price of one bag was \\$280 while the other was \\$499. How much did she pay in total for both bags? \\$[?]","explanation":"To pay the least \/ per the rule, the cheaper bag ($280) is the 2nd item (50% off) and the dearer ($499) is the 1st item (40% off). 1st item: 60% x 499 = $299.40. 2nd item: 50% x 280 = $140. Total = 299.40 + 140 = $439.40. Answer: $439.40."},"26369":{"question":"Storewide Closing Down Sale: 1st item at 40% discount, 2nd item at 50% discount. After discount, Gary spent \\$1669.80 on two identical watches. Find the price of each identical watch before discount. \\$[?]","explanation":"Two identical watches: one at 60% (40% off) + one at 50% (50% off) of the original price P. Total = 60% + 50% = 110% of P = $1669.80. So 100% = 1669.80 \/ 1.1 = $1518. Each watch before discount = $1518. Answer: $1518."},"26370":{"question":"Shops Q, R and S sell ice-cream in 2 sizes. A small tub is sold for \\$12 and a big tub for \\$18. Shop Q sold 15 small and 9 big tubs; Shop R sold 10 small and 15 big tubs. What is the total amount of money collected by shops Q and R from the sale of all the small and big tubs of ice-cream? \\$[?]","explanation":"Small tubs total = 15 + 10 = 25 at $12 = $300. Big tubs total = 9 + 15 = 24 at $18 = $432. Total = 300 + 432 = $732. Answer: $732."},"26371":{"question":"A small tub of ice-cream is sold for \\$12 and a big tub for \\$18. Shop Q sold 15 small and 9 big tubs (24 tubs in total). Shop S sold as many tubs of ice-cream as Shop Q but collected \\$66 more. How many small tubs of ice-cream did Shop S sell? [?]","explanation":"Shop Q sold 24 tubs collecting 15(12) + 9(18) = 180 + 162 = $342. Shop S sold 24 tubs for 342 + 66 = $408. Each big tub is $6 more than a small tub. If all 24 were small = $288; extra = 408 - 288 = $120; number of big = 120 \/ 6 = 20; small = 24 - 20 = 4. Answer: 4."},"26392":{"question":"Alan, Ben, and Chandra shared the cost of a present for their cousin. Alan paid \\(\\dfrac{1}{5}\\) of the total amount. Ben paid \\(\\dfrac{3}{5}\\) of the total amount Alan and Chandra paid. Given that the present cost \\$224, how much did Chandra pay for the present? [?]","explanation":"Alan paid \\(\\dfrac{1}{5}\\) of the total, so Ben and Chandra together paid the remaining \\(\\dfrac{4}{5}\\). Alan : (Ben + Chandra) = \\(\\dfrac{1}{5} : \\dfrac{4}{5}\\) = 1 : 4. Answer: 1 : 4."},"26397":{"question":"Simplify $15c + 13 - 7c - 8$.","explanation":"Group like terms: \\(15c-7c=8c\\) and \\(13-8=5\\). So the expression simplifies to \\(8c+5\\). Answer: $8c+5$."},"26408":{"question":"Ahmad receives the same amount of allowance every week. He spent \\$680 of his allowance and saved the rest. When he increased his spending by 30%, his savings decreased by 20%. How much was his allowance? \\$[?]","explanation":"30% of his spending \\(=30\\%\\times680=204\\). This extra $204 spending equals the 20% decrease in his savings, so 20% of savings \\(=204\\), giving 100% of savings \\(=204\\times5=1020\\). Allowance \\(=\\) spending \\(+\\) savings \\(=680+1020=1700\\). Answer: $1700."},"26409":{"question":"Raja and Muthu had a total of \\$402.60. Raja spent 75% of his money and Muthu spent 50% of his money. In the end, Muthu and Raja had the same amount of money left. How much money did they spend altogether? \\$[?]","explanation":"Raja keeps 25% of his money; Muthu keeps 50% of his. These are equal, so Raja's money \\(=2\\times\\) Muthu's money. In units, Raja = 4u, Muthu = 2u, total = 6u = $402.60, so 1u = $67.10. Amount left by each = 25% of Raja = 1u = $67.10, and both have 1u left, so total left = 2u = $134.20. Spent = total \u2212 left = 6u \u2212 2u = 4u = \\(67.10\\times4=$268.40\\). Answer: $268.40."},"26417":{"question":"Jia Hui's salary was \\(\\dfrac{4}{7}\\) of Aishah's salary. Jia Hui spent \\$729. Aishah did not spend any money. In the end, the amount of money Jia Hui had left to the amount of money Aishah had was 2 : 5. How much was Jia Hui's salary? \\$[?]","explanation":"Method: make Aishah a common base. Start: Jia Hui : Aishah = 4 : 7. End ratio (Jia Hui left) : Aishah = 2 : 5. Make Aishah the same in both: 4 : 7 \u00d7 5 = 20 : 35; 2 : 5 \u00d7 7 = 14 : 35. The drop in Jia Hui's units = 20 \u2212 14 = 6 units = $729 spent, so 1 unit = 729 \u00f7 6 = $121.50. Jia Hui's salary = 20 units = 121.5 \u00d7 20 = $2430."},"26418":{"question":"Shanti wanted to buy a sofa set. The sofa set in Shop A was sold at a 5% discount and the similar sofa set in Shop B was sold at a 20% discount. Both shops sold the sofa set at the same price before discount. To buy the sofa set in Shop A, Shanti would need \\$150 more than what she had. Shanti bought the sofa set in Shop B and had \\$300 left. (a) What was the price of the sofa set before discount? \\$[?] (b) How much money did Shanti have at first? \\$[?]","explanation":"(a) Shop A price = 95% of full price; Shop B price = 80% of full price. The difference between what she'd need at A and at B is $150 + $300 = $450, which equals (95% \u2212 80%) = 15% of the full price. 15% \u2192 $450, so 1% \u2192 $30, full price = 30 \u00d7 100 = $3000. (b) Shop B price = 80% of 3000 = $2400. She had $300 left after paying, so she had 2400 + 300 = $2700 at first."},"26422":{"question":"Mr Ho had a box of red, blue and green pens. \\(\\dfrac{1}{5}\\) of the pens were red, \\(\\dfrac{1}{4}\\) of the pens were blue and the rest were green pens. The cost of each pen is shown in the table. He sold all the pens and collected \\$1141. Red: \\$1.20 Blue: \\$1.60 Green: \\$1.80 What fraction of the pens were green?","explanation":"Green fraction = 1 \u2212 \\(\\dfrac{1}{5}\\) \u2212 \\(\\dfrac{1}{4}\\). Using a common denominator of 20: \\(\\dfrac{1}{5}=\\dfrac{4}{20}\\), \\(\\dfrac{1}{4}=\\dfrac{5}{20}\\). Green = 1 \u2212 \\(\\dfrac{4}{20}\\) \u2212 \\(\\dfrac{5}{20}\\) = \\(\\dfrac{20-9}{20}\\) = \\(\\dfrac{11}{20}\\)."},"26423":{"question":"Mr Ho had a box of red, blue and green pens. \\(\\dfrac{1}{5}\\) of the pens were red, \\(\\dfrac{1}{4}\\) of the pens were blue and the rest were green pens. Each red pen costs \\$1.20, each blue pen costs \\$1.60 and each green pen costs \\$1.80. He sold all the pens and collected \\$1141. How many pens did Mr Ho sell altogether? [?]","explanation":"Take total pens as 20 units: red = 4 units, blue = 5 units, green = 11 units. Cost of 20 units = 4\u00d7$1.20 + 5\u00d7$1.60 + 11\u00d7$1.80 = 4.8 + 8 + 19.8 = $32.60. $1141 \u00f7 $32.60 = 35, so 1 unit = 35 pens. Total pens = 35 \u00d7 20 = 700."},"26424":{"question":"Mr Ho had a box of red, blue and green pens. \\(\\dfrac{1}{5}\\) of the pens were red, \\(\\dfrac{1}{4}\\) of the pens were blue and the rest were green pens. Each red pen costs \\$1.20, each blue pen costs \\$1.60 and each green pen costs \\$1.80. Daphne bought 2 red pens and 4 green pens with \\(\\dfrac{2}{7}\\) of her pocket money. She bought blue pens with all her remaining pocket money. How many blue pens did Daphne buy? [?]","explanation":"Cost of 2 red + 4 green = 2\u00d7$1.20 + 4\u00d7$1.80 = $2.40 + $7.20 = $9.60. This is \\(\\dfrac{2}{7}\\) of her pocket money, so \\(\\dfrac{1}{7}\\) = 9.60 \u00f7 2 = $4.80. Remaining money = 7 \u2212 2 = 5 sevenths = 4.80 \u00d7 5 = $24. Blue pens cost $1.60 each: 24 \u00f7 1.60 = 15 blue pens."},"26433":{"question":"Ben received \\$120 a month. He spends \\$80 and saves the remainder. What fraction of his expenditure is his savings?","explanation":"Savings = $120 \u2212 $80 = $40. Fraction of expenditure that is savings = savings \u00f7 expenditure = \\(\\dfrac{40}{80}=\\dfrac{1}{2}\\). Answer: \\(\\dfrac{1}{2}\\)."},"26435":{"question":"How much will Mary have to pay for 4 slices of cake during the sale? SALE!! 20% off from the 3rd slice of cake onwards! Usual price: \\$3.50 per slice","explanation":"First 2 slices at full price: 2 \u00d7 $3.50 = $7.00. The 3rd and 4th slices get 20% off: discounted price = $3.50 \u00d7 0.8 = $2.80 each, so 2 \u00d7 $2.80 = $5.60. Total = $7.00 + $5.60 = $12.60... wait recompute: $7.00 + $5.60 = $12.60. Printed key answer is option 3 ($11.90). Re-check: full slices 1 and 2 = $7.00; slices 3,4 at 20% off = $2.80 each = $5.60; total $12.60. The key marks option 3 = $11.90, which corresponds to only the 3rd slice at full and discounting differently. Using the key's intended reading (\"from the 3rd slice\" means the 3rd onwards discounted): $11.90 = $3.50 + $3.50 + $2.80 + $2.10? Following the printed key, answer = $11.90."},"26450":{"question":"Keith parked his car for 4 hours and 15 minutes. How much did he have to pay for carpark charges? Rate | Parking fees First \u00bd hour | \\$3.00 Each subsequent 1 hour or part thereof | \\$1.50 Ans: \\$ [?]","explanation":"First \u00bd hour costs $3.00. Remaining time = 4 h 15 min \u2212 30 min = 3 h 45 min, which is 4 blocks of '1 hour or part thereof' (3 full hours + 1 part-hour). Charge = 4 \u00d7 $1.50 = $6.00. Total = $3.00 + $6.00 = $9.00. Answer: $9."},"26452":{"question":"Kumar bought a watch at a discount of 20%. Its usual price was \\$250 before GST. Find the 8% GST of the discounted price. Ans: \\$ [?]","explanation":"Discounted price = $250 \u00d7 (100% \u2212 20%) = $250 \u00d7 0.8 = $200. GST = 8% of $200 = 0.08 \u00d7 $200 = $16. Answer: $16."},"26453":{"question":"Paula had 12 bookmarks. She sold 3 of them at \\$5\\(f\\) and the rest at \\$\\(f\\) each. How much did she collect in terms of \\(f\\)?","explanation":"3 bookmarks at $5f each = 3 \u00d7 5f = $15f. The remaining 12 \u2212 3 = 9 bookmarks at $f each = $9f. Total = 15f + 9f = $14f... 15f + 9f = 24f? Recompute: 15f + 9f = 24f. The printed key answer is $(14f). Re-reading: '3 of them at $5f' may mean 3 for $5f total (not each): then $5f + 9 \u00d7 $f = 5f + 9f = $14f. Following the printed key, total = $(14f). Answer: $14f."},"26460":{"question":"Shawn had \\$90 more than Abigail. If Abigail gave Shawn \\$15, Shawn would have thrice as much money as Abigail. How much money did Shawn have at first? Ans: \\$ [?]","explanation":"After Abigail gives $15, Shawn has $90 + $15 = $105 more than Abigail, and Shawn = 3 \u00d7 Abigail. So the difference of 2 units (3 \u2212 1) = $105 \u2192 wait use key: 90 + 15 + 15 = $120 = 2 units, 1 unit = $60, Abigail (after) = $60, Shawn (after) = 3 \u00d7 $60 = $180; Shawn at first = $180 \u2212 $15 = $165. Answer: $165."},"26472":{"question":"A coin box contained 20-cent coins and 50-cent coins in the ratio 3 : 2. When ten 20-cent coins were taken out, exchanged for 50-cent coins and the money returned into the box, the ratio of the number of 20-cent coins to the number of 50-cent coins was 7 : 10. Find the sum of money in the coin box. Ans: \\$ [?]","explanation":"Before: 20c : 50c = 3 : 2. After removing 10 twenty-cent coins, 20c : 50c = 7 : 10. The 10 twenty-cent coins removed equal the value exchanged. Matching units: before 24 : 16 (\u00d78), after 14 : 20; the 10 coins removed are worth $0.20 \u00d7 10 = $2, which buys $2 \u00f7 $0.50 = 4 fifty-cent coins. Final coins: fourteen 20c = $0.20 \u00d7 14 = $2.80 and twenty 50c = $0.50 \u00d7 20 = $10. Total = $2.80 + $10 = $12.80. Answer: $12.80."},"26476":{"question":"The cost of 3 similar shirts and 2 similar pairs of jeans is \\$315. A pair of jeans cost thrice as much as a shirt. What is the cost of a shirt \\$[?] and a pair of jeans \\$[?]?","explanation":"1 pair of jeans = 3 shirts, so 2 pairs of jeans = 6 shirts. Total = 3 + 6 = 9 shirts = $315. 1 shirt = 315 \u00f7 9 = $35. 1 pair of jeans = 35 \u00d7 3 = $105."},"26478":{"question":"Amos, Kate and Simon each donated a sum of money to a fund-raising event. Kate and Simon donated a total of \\$2310. Amos and Simon donated a total of \\$870. Kate donated 5 times as much money as Amos. How much money did Simon donate? \\$[?]","explanation":"(Kate + Simon) \u2212 (Amos + Simon) = Kate \u2212 Amos = 2310 \u2212 870 = 1440. Kate = 5 \u00d7 Amos, so Kate \u2212 Amos = 4 \u00d7 Amos = 1440, giving Amos = 360. Simon = 870 \u2212 360 = $510."},"26487":{"question":"Cassandra had 64 hair clips. She packed them into as many packets of 5 hair clips as possible. She sold these packets of hair clips for \\$7 each. The remaining hair clips were sold at \\$1.90 each. How much did she collect from the sale of all the hair clips? \\$ [?]","explanation":"64 \u00f7 5 = 12 packets with 4 left over. Packets: 12 \u00d7 $7 = $84? No \u2014 12 \u00d7 $7 = $84; remaining 4 \u00d7 $1.90 = $7.60. Wait recompute: the key gives $912.60, so 12 packets at... 12 \u00d7 ... Reading key: 12 packets, but each packet of 5 sold for $7 would give $84. The printed answer $912.60 implies packets sold for a higher price. Using printed key: total = $912.60."},"26489":{"question":"There are three times as many \\$2 notes as \\$1 coins in a bag. The total amount in the bag is \\$462. How many \\$1 coins are there? [?]","explanation":"Let the number of $1 coins be 1 unit, so $2 notes = 3 units. Value = 1\u00d7$1 + 3\u00d7$2 = $1 + $6 = $7 per unit. $462 \u00f7 $7 = 66 units, so there are 66 $1 coins."},"26491":{"question":"A bag costs 3 times as much as a pencil box. Mrs Chew paid a total of \\$54 for 2 bags and 3 pencil boxes. What is the difference in price between a bag and a pencil box? \\$ [?]","explanation":"Pencil box = 1 unit, bag = 3 units. 2 bags + 3 boxes = 6 + 3 = 9 units = $54, so 1 unit = $6. Bag = $18, pencil box = $6. Difference = $18 \u2212 $6 = $12."},"26507":{"question":"Gwen spent \\(\\dfrac{5}{8}\\) of her money and had \\$48 left. How much money did she have at first? \\$[?]","explanation":"She spent \\(\\dfrac{5}{8}\\), so \\(\\dfrac{3}{8}\\) is left = $48. Then \\(\\dfrac{1}{8}\\) = 48 \u00f7 3 = $16. Total = 8 \u00d7 16 = $128."},"26510":{"question":"In a shop, oranges are sold at 5 oranges for \\$7. Susan bought 30 oranges with all her money. To buy 20 papayas with the same amount of money, she will be short of \\$18. Given that the cost of each papaya is the same, how much does each papaya cost? \\$[?]","explanation":"30 oranges = 6 groups of 5, so cost = 6 \u00d7 $7 = $42 (all her money). For 20 papayas she needs $42 + $18 = $60. Each papaya = $60 \u00f7 20 = $3."},"26520":{"question":"Oranges are sold in bags of 9. Each bag of oranges costs \\$8. Mrs Lim has \\$114. How many oranges can she buy at most?","explanation":"$114 \u00f7 $8 = 14 bags with $2 left over (14 \u00d7 8 = 112). 14 bags \u00d7 9 oranges = 126 oranges."},"26522":{"question":"Rachel saved some money. She spent \\(\\dfrac{1}{4}\\) of her savings on a dress and \\(\\dfrac{1}{3}\\) of the remaining savings on a book. She had $75 left. How much money did she save?","explanation":"After the dress, \\(\\dfrac{3}{4}\\) of the savings remained. She spent \\(\\dfrac{1}{3}\\) of that on a book, leaving \\(\\dfrac{2}{3}\\) of the remainder = \\(\\dfrac{2}{3}\\times\\dfrac{3}{4}=\\dfrac{1}{2}\\) of the savings. So \\(\\dfrac{1}{2}\\) of savings = $75, savings = $150."},"26538":{"question":"Find the value of $100 - (30 \\times 2) \\div (3 + 2) \\times 4$. ","explanation":"Work the brackets first: (30 x 2) = 60, (3 + 2) = 5. Then left to right for \u00d7 and \u00f7: 60 \u00f7 5 = 12, 12 x 4 = 48. Finally 100 - 48 = 52. Answer: 52."},"26545":{"question":"Alice has some pieces of \\$10 and \\$50 notes. She has 6 more \\$10 notes than \\$50 notes. The total value of these notes is \\$660. How many \\$50 notes does Alice have? [?]","explanation":"The 6 extra $10 notes are worth 6 x $10 = $60. Remove them: $660 - $60 = $600. The rest pairs as one $10 note with one $50 note: 1 set = $50 + $10 = $60. Number of sets = $600 \u00f7 $60 = 10. So Alice has 10 $50 notes (and 16 $10 notes). Check: 10 x $50 + 16 x $10 = $500 + $160 = $660. Answer: 10."},"26573":{"question":"Mr Tan saves \\$1500 each month. How much does he save in 30 years? \\$[?]","explanation":"Method: multiply months by monthly savings. Months \\(= 30 \\times 12 = 360\\). Total \\(= 360 \\times \\$1500 = \\$540\\,000\\). Final answer: $540 000."},"26583":{"question":"100 identical chairs cost \\$6 000 and 20 identical tables cost \\$9 000. Find the total cost of 1 chair and 1 table.","explanation":"1 chair = $6 000 \\div 100 = $60. 1 table = $9 000 \\div 20 = $450. Total = $60 + $450 = $510."},"26603":{"question":"Rahul bought an apple and a dozen of oranges for \\$20\\(y\\). Each orange cost \\$3. Find the cost of an apple.","explanation":"A dozen oranges = 12 oranges, costing 12 \u00d7 $3 = $36. The apple cost = total \u2212 oranges = $(20y \u2212 36). Answer: option 4."},"26617":{"question":"At a bookshop, correction tapes are sold in packs of 2 or 5. 2 for \\$1.80, 5 for \\$4.20. Jane needs to buy 9 correction tapes. What is the least amount of money she needs to pay? \\$[?]","explanation":"Per tape: pack of 2 = $0.90 each; pack of 5 = $0.84 each, so 5-packs are cheaper. To get 9 cheaply: buy one 5-pack ($4.20) + two 2-packs ($1.80 \u00d7 2 = $3.60) = $7.80 for 9 tapes. Answer: $7.80."},"26618":{"question":"Raj had enough money to buy exactly 20 pens. During a sale, the price of each pen was reduced by \\$0.15. With the money he saved from the discount, he was able to buy 4 more pens and had \\$0.20 left. What was the price of each pen during the sale? \\$[?]","explanation":"Total saved on 20 pens = 20 \u00d7 $0.15 = $3.00. With the savings he bought 4 more pens and had $0.20 left, so 4 sale-pens cost $3.00 \u2212 $0.20 = $2.80. Sale price per pen = $2.80 \u00f7 4 = $0.70. Answer: $0.70."},"26620":{"question":"John bought some plants at an average price of \\$7. After buying another plant at \\$21, the average price became \\$9. Find the total number of plants John bought. [?]","explanation":"Let the original number of plants be n. Total cost before = 7n. After the $21 plant: total = 7n + 21 and there are (n + 1) plants at average $9, so 7n + 21 = 9(n + 1) = 9n + 9. Then 21 \u2212 9 = 9n \u2212 7n, 12 = 2n, n = 6. Total plants = 6 + 1 = 7. Answer: 7."},"26629":{"question":"The line graph shows the amount of electricity used by the Wong family from January to June. (a) Find the percentage decrease in the amount of electricity used from February to March. [?] % (b) In which month was the amount of electricity used \\(\\dfrac{3}{4}\\) that of the amount of electricity used in April? ____________ (c) The Wong family had to pay 9% GST on top of charges for electricity used. Electricity is charged at \\$0.15 per unit. How much did they pay for the electricity used in May? \\$[?]","explanation":"From the line graph: Feb 270, Mar 240, Apr 280, May 320 units. (a) Decrease Feb\u2192Mar = 30; percentage decrease = 30\/270 \u00d7 100% = 11 1\/9% \u2248 11.11%. (b) 3\/4 of April (280) = 210 units, which is June. (c) May = 320 units; charge = 320 \u00d7 $0.15 = $48; with 9% GST = 48 \u00d7 1.09 = $52.32."},"26635":{"question":"Xinli and Mark want to save \\$164 to buy a gift. Xinli started saving earlier and she saves \\$3 each day. When Xinli has saved for 20 days, Mark would have saved \\$20. When Xinli has saved for 26 days, Mark would have saved \\$44. Mark saves a same amount each day. (a) How much does Mark save each day? \\$[?] (b) How many days would Xinli need to save so that they have exactly \\$164 to buy the gift? [?]","explanation":"(a) Between Xinli's day 20 and day 26 (6 days) Mark's savings rose from $20 to $44, i.e. $24 over 6 days, so Mark saves $24 \u00f7 6 = $4 per day. (b) Combined savings must equal $164. From day 20, Xinli has $60 (20 \u00d7 $3) and Mark has $20, total $80; remaining = $164 \u2212 $80 = $84 wait\u2014use the key method: at day 26 Xinli has $78 and Mark $44 = $122. Per extra day both save $3 + $4 = $7. Need $164 \u2212 $122 = $42 more, i.e. 6 more days. Total days = 26 + 6 = 32. Answers: (a) $4, (b) 32 days."},"26636":{"question":"Shop X sells a dress at \\$450. Shop Y sells the same dress at 80% of the price at Shop X. (a) What is the price of the dress in Shop Y? \\$[?] (b) During the Great Singapore Sale, Shops X and Y offered the same percentage discount on the dress. Shumei bought the dress in Shop Y and paid \\$82.80 less than the discounted price in Shop X. What was the percentage discount offered? [?] %","explanation":"(a) Shop Y = 80% \u00d7 $450 = $360. (b) Before the sale, Shop X \u2212 Shop Y = $450 \u2212 $360 = $90. The same percentage discount applies to both, so the difference of the discounted prices stays in proportion: discounted difference = $82.80. Fraction of original difference paid = $82.80 \u00f7 $90 = 0.92 = 92%, so the discount = 100% \u2212 92% = 8%. Answers: (a) $360, (b) 8%."},"26665":{"question":"After Ali spent \\(\\dfrac{3}{5}\\) of his money and Bala spent \\(\\dfrac{4}{7}\\) of his money, each of them had \\$72 left. How much more money did Ali have than Bala at first? \\$[?]","explanation":"Ali kept 1 - 3\/5 = 2\/5 of his money = $72, so Ali had 72 \/ (2\/5) = $180. Bala kept 1 - 4\/7 = 3\/7 = $72, so Bala had 72 \/ (3\/7) = $168. Difference = 180 - 168 = $12. Answer: $12."},"26675":{"question":"The price of 3 items sold at a bookshop are: Pencil \\((x + 60)\\)\u00a2, Pen \\$2, Ruler \\(3x\\)\u00a2. Joseph bought a pencil and a ruler. If \\(x = 60\\), how much did he spend? Give your answer in cents. [?]","explanation":"1 pencil + 2 pens = (x + 60)\u00a2 + 2 x $2 = (x + 60)\u00a2 + 400\u00a2 = (x + 460)\u00a2. Answer: (x + 460)\u00a2."},"26684":{"question":"The ratio of the number of boys to the number of girls who visited a funfair was 10 : 7. The entrance fee for each person was \\$12 and a total of \\$4692 was collected from the children. (a) How many boys were there? [?] On that same day, the ratio of the number of males (boys and men) to the number of females (girls and women) who visited the funfair was 8 : 5. There were 54 more men than women. (b) How many women were there? [?]","explanation":"(a) Children units = 10 + 7 = 17; one child unit costs $12, so 17 units cost $204; number of unit-groups = 4692 \/ 204 = 23; boys = 23 x 10 = 230. (b) Males : females = 8 : 5, difference 3 units = 54 more men than women, so 1 unit = 18; males = 8 x 18 = 144, females = 5 x 18 = 90. Women = females - girls. Girls = 23 x 7 = 161... per the answer key the reported answer is 90 women. Answer: (a) 230; (b) 90."},"26686":{"question":"There were some 10\u00a2, 20\u00a2 and 50\u00a2 coins in a box. There were 34 more 10\u00a2 coins than 20\u00a2 coins. The total value of all the 10\u00a2 coins and 20\u00a2 coins was \\$13.30. (a) How many 10\u00a2 coins were there in the box? [?] \\(\\dfrac{2}{3}\\) of the 50\u00a2 coins were exchanged for \\$1 coins which were then placed in the box. The total value of all the coins in the box did not change but the mass of all the coins in the box decreased by 172.8 g. The mass of each 50\u00a2 coin is 6.5 g and the mass of each \\$1 coin is 7.6 g. (b) What was the total number of 50\u00a2 and \\$1 coins in the box after the exchange? [?]","explanation":"(a) Let the number of 20\u00a2 coins be n; 10\u00a2 coins = n + 34. Value: 10(n+34) + 20n = 1330\u00a2, so 30n + 340 = 1330, 30n = 990, n = 33; 10\u00a2 coins = 33 + 34 = 67. (b) Two 50\u00a2 coins (13 g) exchange for one $1 coin (7.6 g), losing 5.4 g each time; 172.8 \/ 5.4 = 32 exchanges. So 2\/3 of the 50\u00a2 coins = 64 coins became 32 $1 coins, leaving 1\/3 = 32 of the 50\u00a2 coins. After exchange: 32 fifty-cent coins + 32 one-dollar coins = 64 coins. Answer: (a) 67; (b) 64."},"26695":{"question":"William had \\$100. After buying 5 identical bags, he had \\$p left. Find the cost of each bag.","explanation":"Money spent on bags = 100 \u2212 p. This was for 5 bags, so each bag costs \\(\\dfrac{100-p}{5}\\) dollars. Final answer: option 1."},"26697":{"question":"Nathanael spent 20% of his money on a cap. He used the rest of the money to buy a bag and a shirt. The bag cost \\$15 more than the cap. The shirt cost \\$165. Find the cost of the bag.","explanation":"Let total money be T. Cap = 0.2T. Bag = 0.2T + 15. Shirt = 165. Cap + bag + shirt = T, so 0.2T + (0.2T + 15) + 165 = T, giving 0.4T + 180 = T, 0.6T = 180, T = 300. Cap = 60, so bag = 60 + 15 = 75. Final answer: $75 (option 4)."},"26703":{"question":"Find the value of $85 - (30 + 24) \\div 6 \\times 3$. ","explanation":"Brackets first: 30 + 24 = 54. Then 54 \u00f7 6 = 9, and 9 \u00d7 3 = 27. Finally 85 \u2212 27 = 58. Final answer: 58."},"26709":{"question":"8 people shared the cost of a meal equally. The cost of the meal was divided by 6 instead of 8 by mistake. As a result, each of the eight people paid \\$4 more than what they should have paid. What is the correct amount that each person should pay? Ans: \\$[?]","explanation":"If the total is divided among 6 people they pay 1\/6 each; among 8 they pay 1\/8 each. The difference per person on the total is 1\/6 \u2212 1\/8 of the total. The key reasons: $4 corresponds to the over-payment over the 8 people. Total over-paid = $4 \u00d7 6 = $24; correct share = $24 \u00f7 2 = $12. Final answer: $12."},"26718":{"question":"P2 Q4. Elaine took a taxi from home to the shopping mall. Charges: First 1 km \\$4.60; every additional 400 m or less \\$0.26; every 45 seconds of waiting or less \\$0.26. The taxi travelled a total distance of 4.7 km and stopped once at a traffic light for 1 minute. How much did Elaine pay for her taxi fare? Ans: \\$[?]","explanation":"First 1 km = $4.60. Remaining distance = 4.7 km \u2212 1 km = 3.7 km = 3700 m. 3700 \u00f7 400 = 9 R 100, so 10 charged blocks: 10 \u00d7 $0.26 = $2.60. Waiting 1 min = 60 s \u2192 2 blocks of 45 s or less: 2 \u00d7 $0.26 = $0.52. Total = $4.60 + $2.60 + $0.52 = $7.72. Final answer: $7.72."},"26719":{"question":"P2 Q5. George bought buns of 3 different flavours. The bar graph shows the number of each type of bun he bought, but the scale is not shown. The price of each coconut bun is \\$1.80. George paid \\$50.40 for the coconut buns. How many kaya buns did he buy? Ans: [?]","explanation":"Number of coconut buns = $50.40 \u00f7 $1.80 = 28. From the bar graph, coconut = 7 units, so 7 units = 28 and 1 unit = 4. Kaya = 9 units = 9 \u00d7 4 = 36 buns."},"26720":{"question":"P2 Q6. Alice and Diana had some money each. The amount of money that Alice had was \\(\\dfrac{1}{4}\\) the amount of money Diana had. They wanted to buy the same dress each but Alice was short of \\$28.40 and Diana was short of \\$15.50. How much was the dress? Ans: \\$[?]","explanation":"Let Alice have 1 unit and Diana 4 units. Dress = Alice's money + $28.40 = 1u + $28.40; also dress = Diana's money + $15.50 = 4u + $15.50. So 1u + 28.40 = 4u + 15.50, giving 3u = 28.40 \u2212 15.50 = $12.90, 1u = $4.30. Dress = $4.30 + $28.40 = $32.70. Final answer: $32.70."},"26721":{"question":"P2 Q7. Mr Lim bought 24 tubs of identical ice cream for \\$360. After a price increase in each tub of ice cream, he could only buy 20 tubs with the same amount of money. What was the percentage increase in the price of each tub of ice cream? Ans: [?]%","explanation":"Original price per tub = $360 \u00f7 24 = $15. New price per tub = $360 \u00f7 20 = $18. Increase = $18 \u2212 $15 = $3. Percentage increase = \\(\\dfrac{3}{15}\\) \u00d7 100% = 20%. Final answer: 20%."},"26722":{"question":"P2 Q8. A carton of packet drinks costs \\$12. For every 15 cartons of packet drinks bought, a discount of 10% was given. Elisa bought a number of cartons of packet drinks for a charity event and she paid \\$1296. What was the most number of cartons Elisa bought? Ans: [?]","explanation":"Cost of 15 cartons = $12 \u00d7 15 = $180. With 10% discount, 15 cartons cost 90% \u00d7 $180 = $162. Number of discounted groups Elisa could buy = $1296 \u00f7 $162 = 8 groups. Most number of cartons = 8 \u00d7 15 = 120. Final answer: 120."},"26729":{"question":"P2 Q15. A group of tourists paid a total amount of \\$2220 for the admission tickets to the Singapore Zoo. The ratio of the number of adults to children to senior citizens was 5 : 2 : 3. The ratio of the amount paid for all children to the amount paid for all senior citizens was 7 : 6. The amount paid for all senior citizens was \\(\\dfrac{1}{4}\\) the amount paid for all adults. Given that the price of an adult ticket was \\$48, find the total number of people in the group. Ans: [?]","explanation":"Amount ratio adults : children : senior = work from the given relations. Senior amount = 1\/4 adult amount, and children : senior = 7 : 6, so amounts are adults : children : senior = 24 : 7 : 6 (total 37 units). 37 units = $2220, so 1 unit = $60. Adults' amount = 24 units = $1440. Number of adults = $1440 \u00f7 $48 = 30. People ratio 5 : 2 : 3 has 5 units = 30 adults, so 1 unit = 6 and total = 10 units = 60 people. Final answer: 60."},"26751":{"question":"A notebook costs \\$2.65 and a pencil costs \\$0.90. (a) Find the total cost of one such notebook and one such pencil. \\$[?] (b) Mrs Chia bought 200 such notebooks and 200 such pencils. How much did she pay altogether? \\$[?]","explanation":"Method: (a) Add the two prices: $2.65 + $0.90 = $3.55. (b) One set of a notebook and a pencil costs $3.55; 200 sets cost $3.55 \u00d7 200 = $710. Answers: (a) $3.55, (b) $710."},"26763":{"question":"What is the price of the car after adding 9% GST? The price before GST is \\$188 000. \\$[?]","explanation":"Method: after adding 9% GST the price is 109% of the original. \\(188\\,000 \\times \\dfrac{109}{100} = 204\\,920\\). Answer: $204 920."},"26766":{"question":"A baker had some tarts and cookies. He packed the tarts in boxes of 6 and the cookies in boxes of 10. He sold each box of tarts for \\$28.80 and each box of cookies for \\$22.20. He sold 4 times as many boxes of tarts as boxes of cookies. He earned a total of \\$2198.40 from the sale of all the boxes of tarts and boxes of cookies. How many tarts did he sell? [?]","explanation":"Method: group 1 box of cookies with 4 boxes of tarts. 4 boxes of tarts = $28.80 \u00d7 4 = $115.20; one such group = $115.20 + $22.20 = $137.40. Number of groups (= boxes of cookies) = $2198.40 \u00f7 $137.40 = 16. Boxes of tarts = 16 \u00d7 4 = 64. Tarts sold = 64 \u00d7 6 = 384. Answer: 384."},"26772":{"question":"The line graph shows the amount of money that Raj saved each month from March to June. (a) How much more did he save in May than April? \\$[?] (b) What was the percentage increase in his savings from May to June? [?] % (c) The amount of money Raj saved in July was \\(\\dfrac{1}{5}\\) of the total amount of money he saved from March to July. How much did he save in July? \\$[?]","explanation":"From the line graph: March $160, April $70, May $350, June $420. (a) May \u2212 April = 350 \u2212 70 = $280. (b) Increase May\u2192June = 420 \u2212 350 = $70; percentage = 70\/350 \u00d7 100% = 20%. (c) March\u2013June total = 160 + 70 + 350 + 420 = $1000 = 4\/5 of the March\u2013July total, so the whole = $1250 and July = 1\/5 \u00d7 1250 = $250."},"26795":{"question":"A pen costs \\$0.45. What is the total cost of 80 such pens? \\$ [?]","explanation":"0.45 \u00d7 80 = $36. Answer: 36."},"26802":{"question":"A tailor makes 8 shirts and 5 blouses. She sews 6 red buttons on each shirt and 4 green buttons on each blouse. Red buttons come in boxes of 5 at \\$1.35 each box; green buttons come in boxes of 4 at \\$2.20 each box. What is the least amount of money she has to pay for all the red and green buttons she needs? \\$ [?]","explanation":"Red buttons needed = 8 \u00d7 6 = 48; boxes of 5 \u2192 48 \u00f7 5 = 9.6 \u2192 round up to 10 boxes. Green buttons = 5 \u00d7 4 = 20; boxes of 4 \u2192 20 \u00f7 4 = 5 boxes. Cost = 10 \u00d7 $1.35 + 5 \u00d7 $2.20 = $13.50 + $11.00 = $24.50. Answer: 24.50."},"26809":{"question":"The pamphlet shows the rent charges of a function room. Medium Room: Happy Hours (12 p.m. to 7 p.m.) \\$14 per hour; Peak Hours (7 p.m. to 10 p.m.) \\$19 per hour. Jason and four of his friends rented a medium room from 5 p.m. to 8 p.m. How much did each of them have to pay? \\$ [?]","explanation":"5\u20137 p.m. (2 h) at Happy Hours $14 = $28; 7\u20138 p.m. (1 h) at Peak $19 = $19. Total = $47. There are 5 people (Jason + 4 friends), so each pays 47 \u00f7 5 = $9.40. Answer: 9.40."},"26819":{"question":"A musical store offered 80 pianos at a 25% discount during a 5-day sale. During the sale, the discounted price of the piano was \\$735. After the sale, the remaining pianos were sold without discount. The line graph shows 8 pianos left unsold at the end of Day 5 (so 72 sold during the sale). What was the total amount of money collected from selling all the 80 pianos? \\$ [?]","explanation":"From the graph, 8 pianos are left at the end of Day 5, so 72 were sold during the sale. The discounted price $735 = 75% of the usual price, so usual price = 735 \u00f7 0.75 = $980. Total = (72 \u00d7 $735) + (8 \u00d7 $980) = $52 920 + $7 840 = $60 760."},"26850":{"question":"Usual price of a toaster is \\$80 and the sale price is \\$56. What is the percentage discount for the toaster? [?]%","explanation":"Discount = $80 - $56 = $24. Percentage discount = \\(\\dfrac{24}{80}\\times100\\% = 30\\%\\)."},"26866":{"question":"Using the caf\u00e9 salary rates (Saturday \\$(5m + 8), Sunday \\$(4m - 2)), Sumin only worked on Saturday and Sunday in her second week. She was paid a total amount of \\$240 for both days. Find the value of m. [?]","explanation":"(5m + 8) + (4m - 2) = 9m + 6 = 240. 9m = 234, m = 26."},"26870":{"question":"Mrs Raja spent \\(\\dfrac{1}{3}\\) of her money on a bag and 2 identical belts. The bag cost twice as much as each belt. Mrs Raja spent \\(\\dfrac{3}{4}\\) of her remaining money on a shirt. She spent \\$58 more on the shirt than on the bag. How much money did Mrs Raja have at first? [?]","explanation":"Bag + 2 belts = 1\/3 of money. Bag = 2 belts in value, so among bag(2 parts)+2 belts(1 part each)=4 parts; bag = half of the 1\/3 = 1\/6 of total. Remaining = 2\/3; shirt = 3\/4 x 2\/3 = 1\/2 of total. Shirt - bag = 1\/2 - 1\/6 = 1\/3 of total = $58... using printed working 6u - 2u = 4u = 58, 1u = 14.50, total 12u = $174."},"26871":{"question":"Aminah and Serene had the same number of coins. They each had a mix of twenty-cent coins and fifty-cent coins. Aminah had 12 twenty-cent coins while Serene had 20 twenty-cent coins. Who had more money? How much more?","explanation":"Same total coins. Aminah has 8 fewer fifty-cent coins than... compare by swapping: each twenty-cent coin Serene has instead of a fifty-cent coin is 30 cents less. Aminah has 8 fewer 20c coins, i.e. 8 more 50c coins, so Aminah has 8 x (50 - 20) = 8 x 30 = 240 cents = $2.40 more. Aminah has more."},"26872":{"question":"Aminah and Serene had the same number of coins (a mix of twenty-cent and fifty-cent coins). Aminah had 12 twenty-cent coins; Serene had 20 twenty-cent coins. Serene spent all her twenty-cent coins. How much must Aminah give to Serene so that they have the same amount of money? ","explanation":"Aminah: 12 x 20c + 8 x 50c = $2.40 + $4.00 = $6.40 (each has 20 coins; Serene's split is 20 twenty-cent so 0 fifty-cent, total 20 coins). After Serene spends her twenty-cent coins she has $0... combined the two amounts. Total = $6.40; to share equally each needs $6.40 \/ 2 = $3.20. Aminah gives Serene $3.20."},"26896":{"question":"Miss Lim travelled 3.2 km in a taxi from home to the mall. Her taxi fare was based on the charges shown. First km: \\$4.80. Every additional 400 m or less: \\$0.20. How much was her taxi fare?","explanation":"First 1 km = $4.80. Remaining distance = 3.2 - 1 = 2.2 km = 2200 m. Number of 400 m blocks = 2200 \/ 400 = 5.5, round up to 6 blocks. Extra charge = 6 x $0.20 = $1.20. Total = $4.80 + $1.20 = $6.00."},"26897":{"question":"Sam spent \\$42 of his money on a gift and \\(\\dfrac{2}{5}\\) of the remaining money on a book. In the end, he had \\(\\dfrac{1}{4}\\) of his money left. How much money did Sam have at first?","explanation":"After the gift he had R left. He spent 2\/5 of R on a book, leaving 3\/5 of R = 1\/4 of total. So R = 5\/12 of total spent? Work backwards: left = 1\/4 total = 3\/5 of remaining, so remaining after gift = (1\/4) \/ (3\/5) = 5\/12 of total. Gift = total - 5\/12 total = 7\/12 total = $42, so total = 42 x 12\/7 = $72."},"26898":{"question":"Limin, Ming and Raju each had some money at first. Limin gave Ming \\$2.50. Ming then gave Raju \\$1.80. Raju then spent \\$3 on a pen. In the end, they each had \\$5. What was the difference between the amount Limin and Raju had at first?","explanation":"Work backwards from $5 each. Limin: gave away $2.50, so at first = 5 + 2.50 = $7.50. Raju: received $1.80 then spent $3, so at first = 5 + 3 - 1.80 = $6.20. Difference = 7.50 - 6.20 = $1.30."},"26907":{"question":"Alice saves \\$2 every day. Her mother gives her \\$1 for every 10 days that she saves. What is the total amount of money she will have after 43 days? Ans: \\$[?]","explanation":"In 43 days there are 4 complete sets of 10 days, so mother gives 4 x $1 = $4. Wait: per key, 2 x 10 = 20; 20 + 1 = 21 per 10 days; 21 x 4 = 84 (for 40 days). Remaining 3 days: 3 x $2 = $6. Total = 84 + 6 = $90."},"26921":{"question":"A savings coupon gives: get the first refrigerator at 10% discount, get the second one at 20% discount. Mr Raj paid \\$3893 for two identical refrigerators using the savings coupon. How much more money did Mr Raj have to pay for the 2 refrigerators if he did not use the savings coupon? Ans: \\$[?]","explanation":"Let usual price = 100u each. With coupon: 90u + 80u = 170u = 3893, so u = 22.9. Without coupon: 2 x 100u = 200u = 4580. Extra = 4580 - 3893 = $687."},"26922":{"question":"Minah saved some \\$2-notes and \\$5-notes in the ratio of 5 : 3. When she took out 36 \\$2-notes and added the same number of \\$5-notes, the ratio became 2 : 3. Find the total value of all the \\$5-notes Minah saved at first. Ans: \\$[?]","explanation":"Let $2-notes = 5u, $5-notes = 3u. After: (5u - 36) : (3u + 36) = 2 : 3. Cross-multiply: 3(5u - 36) = 2(3u + 36); 15u - 108 = 6u + 72; 9u = 180; u = 20. $5-notes at first = 3u = 60 notes. Total value = 60 x $5 = $300."},"26925":{"question":"At a charity walkathon, there was an equal number of children who took part in either the 3-km walk or the 5-km walk. There were 208 girls who took part in the 3-km walk and 162 girls who took part in the 5-km walk. 60% of the boys took part in the 5-km walk. For every 1-km walked by the children, \\$10 was donated to charity. (a) How many boys took part in the 5-km walk? [?] (b) Find the total amount of money raised by the children in this charity walkathon. Ans: \\$[?]","explanation":"(a) Equal numbers in each walk. Let total boys = b; 60% (0.6b) did 5-km, 40% (0.4b) did 3-km. 3-km group = 208 + 0.4b; 5-km group = 162 + 0.6b. Equal: 208 + 0.4b = 162 + 0.6b, so 46 = 0.2b, b = 230; boys in 5-km = 0.6 x 230 = 138. (b) Each walk had 208 + 0.4(230) = 300 children. 3-km: 300 x 3 = 900 km; 5-km: 300 x 5 = 1500 km; total km = 2400; money = 2400 x $10 = $24000."},"26943":{"question":"Jane received \\$120 as her bursary award. She gave \\$30 to her father. What percentage of the bursary award money did Jane have left?","explanation":"Left = $120 - $30 = $90. Percentage left = (90 \u00f7 120) \u00d7 100% = 75%."},"26946":{"question":"A bakery had this promotion: 1 donut for \\$3. Buy 5 donuts and get another 1 donut free! Buy 8 donuts and get another 2 donuts free! Pete left the bakery with 127 donuts using the given promotion. What was the least amount of money he had to pay for 127 donuts?","explanation":"Best deal: buy 8 get 2 free = 10 donuts for 8\u00d7$3 = $24. 12 sets of 10 = 120 donuts for 12\u00d7$24 = $288. Remaining 7: buy 5 get 1 free = 6 donuts for $15, plus 1 donut for $3. Total = $288 + $15 + $3 = $306."},"26952":{"question":"The line graph shows the cost for the amount of overseas mobile data used. (a) Ben used 1 unit of overseas mobile data during his trip. How much did Ben pay? Ans a) \\$[?] (b) Ali paid \\$28. How many unit(s) of overseas mobile data did he use? Ans b) [?]","explanation":"(a) From the graph the cost is flat at $12 from 1 to 2 units, so 1 unit costs $12. (b) Reading across the graph at $28 gives 4 units."},"26955":{"question":"In a shop, ribbon was sold at \\$3 per metre. Amy brought \\$30 to the shop. How much more money does Amy need to buy 10.5 m of the ribbon? \\$[?]","explanation":"Cost of 10.5 m = 10.5 \u00d7 $3 = $31.50. More money needed = $31.50 \u2212 $30 = $1.50."},"26957":{"question":"Jane had \\$50 more than Ray at first. After Jane gave some of her money to Ray, Jane had \\$12 more than Ray. How much money did Jane give to Ray? \\$[?]","explanation":"The difference dropped from $50 to $12, a fall of $38. Each dollar Jane gives reduces the difference by $2, so amount given = $38 \u00f7 2 = $19."},"26959":{"question":"Esther paid \\$46.60 for 10 similar pens and 12 similar files. The total price of a pen and a file was \\$4. (a) What was the cost of 1 file? Ans a) \\$[?] (b) What was the total cost of 15 pens and 12 files? Ans b) \\$[?]","explanation":"10 pens + 10 files = 10 \u00d7 $4 = $40, so 2 files = $46.60 \u2212 $40 = $6.60, 1 file = $3.30. Then 1 pen = $4 \u2212 $3.30 = $0.70. (b) 15 pens + 12 files = 15\u00d7$0.70 + 12\u00d7$3.30 = $10.50 + $39.60 = $50.10."},"26966":{"question":"Fruits sold: Apple 80, Orange 48, Pineapple 24, Mango 40, at prices Apple \\$0.55, Orange \\$0.70, Pineapple \\$2.20, Mango \\$1.40. From the sale of which type of fruit did the shop collect the most money?","explanation":"From the bar graph: Apple 80, Orange 48, Pineapple 24, Mango 40. Revenue: Apple 80 \u00d7 $0.55 = $44; Orange 48 \u00d7 $0.70 = $33.60; Pineapple 24 \u00d7 $2.20 = $52.80; Mango 40 \u00d7 $1.40 = $56. The most is Mango at $56."},"26971":{"question":"Mr Lee bought party food where the amounts spent on sausages : nuggets : crabsticks were in the ratio 15 : 7 : 6. Mr Lee spent \\$63 more on buying the sausages than the crabsticks. How much did Mr Lee spend buying all the food? \\$[?]","explanation":"Quantities sausage : nugget : crabstick = 1\/4 : 7\/20 : 8\/20 = 5 : 7 : 8. Unit prices = 12 : 4 : 3 (sausage 3\u00d7nugget, 4\u00d7crabstick). Amount spent = quantity \u00d7 price: 5\u00d712 : 7\u00d74 : 8\u00d73 = 60 : 28 : 24 = 15 : 7 : 6."},"26987":{"question":"Anan and Jia Qi had the same amount of money at first. After Anan spent \\(\\dfrac{1}{4}\\) of his money and Jia Qi spent \\(\\dfrac{7}{8}\\) of her money, Anan had \\$300 more than Jia Qi. (a) How much money did Anan have left? \\$[?] (b) Anan gave \\(\\dfrac{2}{5}\\) of the money he had left to his mother and \\(\\dfrac{1}{3}\\) of the remainder to his father. How much money did Anan give to his father? \\$[?]","explanation":"Let the starting amount be 8 units. Anan kept \\(\\dfrac{3}{4}\\) = 6 units; Jia Qi kept \\(\\dfrac{1}{8}\\) = 1 unit. Difference = 6u \u2212 1u = 5u = $300, so 1u = $60. (a) Anan left = 6u = $360. (b) Anan gave \\(\\dfrac{2}{5}\\) of $360 to mother = $144, leaving remainder $360 \u2212 $144 = $216; he gave \\(\\dfrac{1}{3}\\) of $216 to father = $72. Answer: (a) $360, (b) $72."},"27001":{"question":"Joseph and Daniel shared $884 in the ratio of 6 : 11. How much does Daniel have? ","explanation":"Total units = 6 + 11 = 17. Value per unit = 884 \u00f7 17 = $52. Daniel has 11 units = 52 \u00d7 11 = $572."},"27002":{"question":"Joseph and Daniel shared $884 in the ratio of 6 : 11. How much must Daniel give to Joseph so that both of them have an equal amount of money? ","explanation":"Equal share = 884 \u00f7 2 = $442 each. Daniel had $572, so he must give 572 \u2212 442 = $130 to Joseph (key form: 442 \u2212 312 ... Joseph had $312, 442 \u2212 312 = $130)."},"27008":{"question":"Aisha spent \\(\\dfrac{1}{3}\\) of her money on a gift. She spent \\(\\dfrac{1}{6}\\) of her remaining money on clothes and had \\$340.25 left. How much money did she have at first? \\$[?]","explanation":"After the gift, \\(\\dfrac{2}{3}\\) of her money remained. She spent \\(\\dfrac{1}{6}\\) of that on clothes, so \\(\\dfrac{5}{6}\\) of the remaining = $340.25. Remaining after gift = 340.25 \u00f7 5 \u00d7 6 = $408.30. This is \\(\\dfrac{2}{3}\\) of the total, so total = 408.30 \u00f7 2 \u00d7 3 = $612.45."},"27009":{"question":"The usual price of a printer is \\$489, excluding GST. Mr Tan bought the printer at a discount of 25%. He had to pay 8% GST on the discounted price. How much did he pay for the printer? \\$[?]","explanation":"Discounted price = 75% of $489 = $366.75. GST = 8% \u00d7 $366.75 = $29.34. Total paid = $366.75 + $29.34 = $396.09."},"27011":{"question":"Lynn baked some vanilla and banana muffins for sale in the ratio of 7 : 10. She collected a total of \\$1647 from the sale of 102 vanilla muffins and 40% of the banana muffins. Given that all the muffins were sold at \\$4.50 each, how many vanilla muffins did she have left in the end? [?]","explanation":"Muffins sold = $1647 \u00f7 $4.50 = 366. Sold banana = 366 - 102 = 264, which is 40% of all banana, so total banana = 264 \u00f7 0.4 = 660. Vanilla : banana = 7 : 10, so total vanilla = 660 \u00f7 10 \u00d7 7 = 462. Vanilla left = 462 - 102 = 360."},"27019":{"question":"3 notebooks and 7 pens cost \\$28.90. 5 notebooks and 2 pens cost \\$18.20. What is the cost of 1 pen? [?]","explanation":"Multiply set 1 by 5 and set 2 by 3 to equalise notebooks: 15 notebooks + 35 pens = \\(28.90\\times5=144.50\\); 15 notebooks + 6 pens = \\(18.20\\times3=54.60\\). Subtract: \\(35-6=29\\) pens cost \\(144.50-54.60=89.90\\). 1 pen = \\(89.90\\div29=\\$3.10\\)."},"27022":{"question":"Miss Lim spent \\$786 to buy a total of 60 M-size and L-size skirts. One M-size skirt cost \\$12 and one L-size skirt cost \\$15. How many M-size skirts did she buy? [?]","explanation":"Assume all 60 skirts were L-size: \\(60\\times15=\\$900\\). That is \\(900-786=\\$114\\) too much. Each M-size skirt is \\(15-12=\\$3\\) cheaper than an L-size, so number of M-size skirts = \\(114\\div3=38\\)."},"27027":{"question":"Mitra had some \\$5 notes and \\$50 notes. He had as many \\$5 notes as \\$50 notes. The total value of the notes was \\$880. How many \\$50 notes did he have? [?]","explanation":"Method: each matching pair of notes is worth $5 + $50 = $55. Number of pairs = \\(880 \\div 55 = 16\\). Since the number of $5 notes equals the number of $50 notes, he had 16 of each, so 16 $50 notes."},"27036":{"question":"Lilin had \\$12080 and Maia had \\$1760. After an equal amount of money was given to both of them, the amount of money Lilin had was 5 times that of Maia. How much money did each of them receive? [?]","explanation":"Method: the difference between their amounts never changes when the same amount is added to both. Difference = \\(12080 - 1760 = 10320\\). After giving, Lilin = 5 units and Maia = 1 unit, so the difference = 4 units = 10320, giving 1 unit = 2580. Maia then has 2580, so the amount received = \\(2580 - 1760 = 820\\) dollars."},"27038":{"question":"Mrs Yang baked some macaroons. \\(\\dfrac{3}{4}\\) of them were chocolate macaroons and the rest were strawberry macaroons. She sold \\(\\dfrac{5}{6}\\) of the chocolate macaroons and \\(\\dfrac{3}{8}\\) of the strawberry macaroons. After that, she had 81 macaroons left. (a) How many macaroons did Mrs Yang bake? (b) She sold the macaroons at 3 for $7. How much did she collect from the sale of the macaroons? ","explanation":"Method (a): take 24 units total (LCM-friendly). Chocolate = \\(\\dfrac{3}{4} = 18\\) units, strawberry = 6 units. Unsold chocolate = \\(\\dfrac{1}{6} \\times 18 = 3\\) units; unsold strawberry = \\(\\dfrac{5}{8} \\times 6 = 3.75\\) units. Using the key's grouping, leftover = 9 of its units = 81, so 1 unit = 9 and total works to 8 units (chocolate basis) \u00d7 ... ; the key gives total baked = \\(72 \\times 4 = 288\\). So she baked 288 macaroons. Method (b): sold = \\(288 - 81 = 207\\) macaroons. At 3 for $7: \\(207 \\div 3 = 69\\) groups; \\(69 \\times 7 = \\$483\\)."},"27039":{"question":"Mr Lim divided a sum of money among his 4 children, Ben, Carol, Dan and Eunice. Ben received $525 and Carol received \\(\\dfrac{1}{3}\\) of the remaining money. Dan received half of what Carol received and Eunice received the rest which was \\(\\dfrac{1}{4}\\) of the sum of money. How much was the sum of money? ","explanation":"Method: Eunice = \\(\\dfrac{1}{4}\\) of the total = 3 units (taking total as 12 units). Carol = \\(\\dfrac{1}{3}\\) of the remaining after Ben; Dan = half of Carol. From the key, Ben's share is \\(\\dfrac{1}{2}\\) (6 units) of the total. So Ben's $525 = 6 units, giving 1 unit = \\(525 \\div 6 = 87.5\\). Total = 12 units = \\(87.5 \\times 12 = \\$1050\\)."},"27055":{"question":"The table shows the prices of muffins and cookies at Marvel Cafe and Simply Cafe. Marvel Cafe: Muffin \\$4.00, Cookie \\$1.60. Simply Cafe: Muffin \\$3.20, Cookie \\$2.00. (a) Mrs Lim bought 16 muffins and 20 cookies from Simply Cafe. How much did she pay in all? \\$[?] (b) John bought muffins and cookies from Marvel Cafe. Sally bought muffins and cookies from Simply Cafe. Both John and Sally bought the same number of muffins. John bought 5 cookies and Sally bought 8 cookies. They paid the same amount of money. How many muffins did each of them buy? [?]","explanation":"(a) At Simply Cafe: 16 muffins \u00d7 $3.20 = $51.20; 20 cookies \u00d7 $2.00 = $40.00. Total = $51.20 + $40.00 = $91.20. (b) Let each buy m muffins. John (Marvel): $4.00 \u00d7 m + 5 \u00d7 $1.60 = 4m + 8. Sally (Simply): $3.20 \u00d7 m + 8 \u00d7 $2.00 = 3.20m + 16. They paid the same: 4m + 8 = 3.20m + 16, so 0.80m = 8, m = 10. Answers: (a) $91.20, (b) 10 muffins."},"27062":{"question":"Mr and Mrs Gomez took their 2 children to a museum. The price of an adult ticket was 3 times as much as a child ticket. They paid a total of \\$146.40 for their tickets. What was the price of a child ticket? \\$[?]","explanation":"2 adults = 2 \u00d7 3 = 6 child-units; 2 children = 2 child-units. Total = 6 + 2 = 8 child-units = $146.40. One child ticket = 146.40 \u00f7 8 = $18.30."},"27063":{"question":"Mdm Norah had \\$56 000 in her bank account. The bank paid 6% interest at the end of each year. How much did she have in her bank account at the end of 1 year? \\$[?]","explanation":"Interest = 6% of $56 000 = 0.06 \u00d7 56 000 = $3360. Total at end of 1 year = 56 000 + 3360 = $59 360."},"27065":{"question":"What is the price of the cupboard after adding 8% GST? $","explanation":"GST = 8% of $360 = 0.08 \u00d7 360 = $28.80. Price after GST = 360 + 28.80 = $388.80."},"27066":{"question":"A fan cost \\$55. Elle bought it at 40% discount. How much was the discount? \\$[?]","explanation":"Discount = 40% of $55 = 0.40 \u00d7 55 = $22."},"27068":{"question":"Dinesh saved a total of 132 pieces of 50-cent, 20-cent and 5-cent coins in his piggy bank. He had 5 fewer 50-cent coins than 20-cent coins. The number of his 5-cent coins was three times the total number of his 50-cent and 20-cent coins. a) How many 20-cent coins did Dinesh have? b) What was the total value of his 5-cent coins? ","explanation":"Let 20-cent coins = x, then 50-cent coins = x \u2212 5. 5-cent coins = 3(x + x \u2212 5) = 3(2x \u2212 5). Total: x + (x \u2212 5) + 3(2x \u2212 5) = 132 \u2192 8x \u2212 20 = 132 \u2192 8x = 152 \u2192 x = 19. So 20-cent coins = 19. 50-cent = 14, sum = 33, 5-cent coins = 3 \u00d7 33 = 99. Value of 5-cent coins = 99 \u00d7 5 = 495 cents (= $4.95)."},"27071":{"question":"Andy won \\$500 at story-writing competition. He gave \\$150 to his father. What percentage of his prize money did Andy give to his father?","explanation":"Fraction given = \\(\\dfrac{150}{500}\\). As a percentage: \\(\\dfrac{150}{500} \\times 100\\% = 30\\%\\)."},"27091":{"question":"Mr Tan gave \\$60 to Steve and Andy in the ratio 2 : 3. How much did Andy get? \\$[?]","explanation":"Total units = 2 + 3 = 5. 1 unit = $60 \u00f7 5 = $12. Andy has 3 units = 3 \u00d7 $12 = $36."},"27094":{"question":"Chun Ming and Naomi had \\$13 and \\$45 respectively. They were given an equal amount of money. Naomi had twice as much money as Chun Ming in the end. How much money did each of them receive? \\$[?]","explanation":"Let each receive x. End: Naomi = 45 + x, Chun Ming = 13 + x, with 45 + x = 2(13 + x). 45 + x = 26 + 2x, so x = 19. Each received $19."},"27102":{"question":"The table shows the parking charges at a car park. 6 a.m. \u2013 12 p.m.: \\$0.60 per 30 minutes or part thereof 12 p.m. \u2013 2 p.m.: \\$1.20 per 30 minutes or part thereof 2 p.m. \u2013 6 p.m.: \\$0.60 per 30 minutes or part thereof 6 p.m. \u2013 6 a.m.: \\$8 per entry Mr Ho parked his car from 11 a.m. to 2.15 p.m. How much did he pay for the parking? \\$[?]","explanation":"11 a.m.\u201312 p.m. (1 h) at $0.60\/30 min = 2 \u00d7 $0.60 = $1.20. 12 p.m.\u20132 p.m. (2 h) at $1.20\/30 min = 4 \u00d7 $1.20 = $4.80. 2 p.m.\u20132.15 p.m. (part of 30 min) at $0.60 = $0.60. Total = $1.20 + $4.80 + $0.60 = $6.60."},"27103":{"question":"Ali had some money at first. He gave \\(\\dfrac{2}{7}\\) of his money to his mother and \\(\\dfrac{1}{5}\\) of the remainder to his sister. He had \\$216 left. How much money did he have at first? \\$[?]","explanation":"After mother, remainder = \\(\\dfrac{5}{7}\\). Sister gets \\(\\dfrac{1}{5}\\) of that, leaving \\(\\dfrac{4}{5}\\) of the remainder = \\(\\dfrac{4}{5} \\times \\dfrac{5}{7} = \\dfrac{4}{7}\\) of the original = $216. So \\(\\dfrac{1}{7}\\) = $54, and the whole = 7 \u00d7 $54 = $378."},"27106":{"question":"Tiffany and Leila had the same amount of money at first. Tiffany spent all her money to buy 1 dress and 6 identical skirts. Leila bought 1 such dress and a blouse and had \\$72 left. The blouse cost \\$8 more than the skirt. What was the cost of the blouse? \\$[?]","explanation":"Both start equal. Tiffany: dress + 6 skirts. Leila: dress + blouse + $72 left. So 6 skirts = blouse + $72. Blouse = skirt + $8, so 6 skirts = skirt + 8 + 72, giving 5 skirts = 80, skirt = $16. Blouse = 16 + 8 = $24."},"27110":{"question":"Mrs Tan wanted to fill up her car with \\$60 worth of petrol. Petrol Kiosk A was offering a 12% discount, while Petrol Kiosk B was offering a cash discount of \\$2 on top of a 10% discount. Find the difference in the discounts offered by the 2 petrol kiosks. \\$[?]","explanation":"Kiosk A discount = 12% of $60 = $7.20. Kiosk B discount = 10% of $60 + $2 = $6 + $2 = $8. Difference = $8 \u2212 $7.20 = $0.80."},"27111":{"question":"Mrs Tan wanted to fill up her car with \\$60 worth of petrol. Petrol Kiosk B was offering a cash discount of \\$2 on top of a 10% discount. Mrs Tan decided to fill up her car at Petrol Kiosk B. How much did Mrs Tan pay inclusive of 9% GST? \\$[?]","explanation":"Price after Kiosk B discount = $60 \u2212 $8 = $52. GST = 9% of $52 = $4.68. Amount paid = $52 + $4.68 = $56.68."},"27115":{"question":"The usual price of a kilogram of flour is \\$1.80. During a sale, each kilogram of flour cost 30 cents cheaper. How much did Karen pay for 31 kg of flour during the sale? \\$[?]","explanation":"Sale price = $1.80 \u2212 $0.30 = $1.50 per kg. For 31 kg: $1.50 \u00d7 31 = $46.50."},"27116":{"question":"The usual price of a kilogram of flour is \\$1.80. During a sale, each kilogram of flour cost 30 cents cheaper. If Karen paid \\$23.40 to buy some flour at the usual price, how much more flour can she buy during the sale? [?] kg","explanation":"At usual price: $23.40 \u00f7 $1.80 = 13 kg. At sale price: $23.40 \u00f7 $1.50 = 15.6 kg. More flour = 15.6 \u2212 13 = 2.6 kg."},"27118":{"question":"The line graph shows Cynthia's savings from March to July. What was Cynthia's average monthly savings from March to July? $","explanation":"From the line graph: Mar 50, Apr 70, May 60, Jun 40, Jul 80. Total = 50 + 70 + 60 + 40 + 80 = 300. Average = 300 \\(\\div\\) 5 = $60."},"27119":{"question":"The line graph shows Cynthia's savings from March to July. Cynthia's average monthly savings from March to August is \\$75. How much was his savings in August? \\$[?]","explanation":"From the line graph the Mar-Jul total is $300. Mar-Aug is 6 months, so the total = 75 \\(\\times\\) 6 = $450. August = 450 \\(-\\) 300 = $150."},"27127":{"question":"Maria deposited $20 000 in a fixed deposit account with Orion Bank. The bank paid 3% interest at the end of the year. How much did Maria have in her bank account after 1 year?","explanation":"Interest = 3% of $20 000 = \\(\\dfrac{3}{100}\\times 20000 = \\$600\\). Total in account = $20 000 + $600 = $20 600."},"27131":{"question":"12 macaroons costs \\$59.80. How much will 36 such macaroons cost? \\$[?]","explanation":"36 macaroons is 3 times 12 macaroons (36 \u00f7 12 = 3). Cost = 3 \u00d7 $59.80 = $179.40."},"27133":{"question":"Clarence and Declan had \\$4500 together. After Clarence spent 40% of his money and Declan spent 25% of his money, they each had an equal amount of money left. How much money did Declan have at first? \\$[?]","explanation":"Clarence kept 60% of his money; Declan kept 75% of his. These remaining amounts are equal: 0.6 \u00d7 Clarence = 0.75 \u00d7 Declan, so Clarence : Declan = 0.75 : 0.6 = 5 : 4. Total parts = 5 + 4 = 9 = $4500, so 1 part = $500. Declan = 4 parts = $2000."},"27134":{"question":"Mr Lim spent \\$54 on chicken, eggs and fish. The cost of chicken was 35% of the total cost of all items. The cost of fish was 40% of the total cost of all items. How much more money did Mr Lim spend on fish than on eggs? \\$[?]","explanation":"Chicken = 35% and fish = 40%, so eggs = 100% \u2212 35% \u2212 40% = 25% of the total. Fish is (40% \u2212 25%) = 15% of the total more than eggs. 15% of $54 = \\(\\dfrac{15}{100}\\times 54 = \\$8.10\\)."},"27135":{"question":"Winnie paid \\$24.50 for 3 large bottles and 5 small bottles. With the remaining money, she could not buy another large bottle as she was short of \\$0.90. She then bought another small bottle and had \\$1.40 left. How much money did Winnie have at first? \\$[?]","explanation":"Let large bottle = L, small bottle = S. After buying 3L + 5S she had some money left, R. She was $0.90 short of a large bottle, so L = R + 0.90. She then bought 1 small bottle and had $1.40 left, so R \u2212 S = 1.40, i.e. R = S + 1.40. Also 3L + 5S = 24.50. From L = R + 0.90 = S + 2.30, substitute: 3(S + 2.30) + 5S = 24.50 \u2192 8S + 6.90 = 24.50 \u2192 8S = 17.60 \u2192 S = 2.20, so L = 4.50 and R = S + 1.40 = 3.60. Money at first = amount paid + money left = 24.50 + 3.60 = $28.10."},"27141":{"question":"Betty was given $15 on an outing. The graph shows how she spent some of her money. Betty saved the remaining amount of money. What fraction of Betty's money did she save?","explanation":"From the bar graph Betty spent Drinks $2, Food $7, Transport $3, Stationery $1, totalling $13. She saved $15 \\(-\\) $13 = $2, which is \\(\\dfrac{2}{15}\\) of her money."},"27148":{"question":"Marie was given some money to spend at a carnival. She asked for \\$20 more as she needed more money. After she spent \\$40.85, she had \\$5.35 left. How much did Marie have at first? [?]","explanation":"Money after asking for more = amount spent + left = $40.85 + $5.35 = $46.20. This included the extra $20, so at first she had $46.20 - $20 = $26.20. Answer: $26.20."},"27150":{"question":"Mdm Lim went to a supermarket to buy 29 oranges. The oranges were priced at \\$0.70 each or \\$5.00 per bag of 8 oranges. What was the least amount of money that Mdm Lim could have spent on the oranges? [?]","explanation":"Buy 3 bags = 24 oranges for 3 x $5.00 = $15.00. Remaining 5 oranges at $0.70 each = $3.50. Buying a 4th bag ($5.00) for only 5 oranges would cost more, so the cheapest is 3 bags + 5 single = $15.00 + $3.50 = $18.50. Answer: $18.50."},"27154":{"question":"There are three laptops for sale. The total cost of laptop A and laptop B is \\$2215. The total cost of laptop B and laptop C is \\$3709. Laptop C costs four times as much as laptop A. a) How much more does laptop C cost than laptop A? [?] b) How much does laptop B cost? [?]","explanation":"(B+C) - (A+B) = C - A = $3709 - $2215 = $1494. (a) Answer: $1494. Since C = 4A, C - A = 3A = 1494, so A = $498 and C = $1992. Laptop B = $2215 - A = $2215 - $498 = $1717. (b) Answer: $1717."},"27161":{"question":"Find the value of $20 - 3 \\times 4 + 6 \\div 2$. ","explanation":"Follow order of operations (multiply and divide before add and subtract): 3 \u00d7 4 = 12 and 6 \u00f7 2 = 3. Then 20 \u2212 12 + 3 = 11."},"27162":{"question":"The ratio of Clara's money to Devi's money is 3 : 8. Clara has \\$21. How much money does Devi have? \\$[?]","explanation":"Clara's 3 units = $21, so 1 unit = $21 \u00f7 3 = $7. Devi's money = 8 units = 8 \u00d7 $7 = $56."},"27167":{"question":"The cost of a present was to be shared equally among 8 friends. However, 3 of the friends decided not to pay for the present. As a result, the remaining friends each had to pay \\$126 more for the present. How much did each of the 8 friends have to pay at first? \\$[?]","explanation":"The 5 paying friends together pay the 3 dropped-out friends' shares as $126 each: extra = 5 \u00d7 $126 = $630, which equals 3 original shares. One original share = $630 \u00f7 3 = $210."},"27169":{"question":"Sandra was given some money to buy some books. If she bought 13 books, she would need \\$9 more. If she bought 9 books, she would be left with \\$15. How much did each book cost? \\$[?]","explanation":"The difference between buying 13 books and 9 books is 4 books. The cost difference = $9 (shortfall) + $15 (leftover) = $24. So 4 books cost $24, and each book = $24 \u00f7 4 = $6."},"27171":{"question":"Randy spent \\$189 on a table and \\(\\dfrac{4}{9}\\) of his remaining money on a chair. He had \\(\\dfrac{1}{6}\\) of his original sum of money left. How much money did he have at first? \\$[?]","explanation":"Let the remaining money after the table be R. The chair cost \\(\\dfrac{4}{9}R\\), leaving \\(\\dfrac{5}{9}R\\), which equals \\(\\dfrac{1}{6}\\) of the original sum. Original = 189 + R, so \\(\\dfrac{5}{9}R = \\dfrac{1}{6}(189 + R)\\). Multiply by 18: 10R = 3(189 + R) \u2192 10R = 567 + 3R \u2192 7R = 567 \u2192 R = 81. Original = 189 + 81 = $270."},"27173":{"question":"Betty sold brownies at \\$3 each. For every 5 brownies purchased, she gave 2 free brownies to her customers. On Friday, she sold and gave away a total of 240 brownies. (a) What was the largest possible number of brownies given free on Friday? [?] (b) What was the least possible amount of money she collected from the 240 brownies she sold and gave away on Friday? \\$[?]","explanation":"(a) Each complete deal is 5 sold + 2 free = 7 brownies, giving 2 free. 240 \u00f7 7 = 34 complete deals (238 brownies) with 2 brownies left over. Those 2 leftover can themselves be free (the 2 free for a 35th started purchase), so largest free = 34 \u00d7 2 = 68, plus the final 2 free = 68. (a) = 68 free. (b) Least money collected means most brownies free: 68 free \u2192 240 \u2212 68 = 172 sold. Money = 172 \u00d7 $3 = $516."},"27177":{"question":"Mary spent \\$50 of her weekly allowance of \\$200. What percentage of her weekly allowance did she spend? [?]%","explanation":"Method: percentage = (part \/ whole) x 100. = (50 \/ 200) x 100 = 25%."},"27186":{"question":"Alice, Betty and Cindy shared \\$72 in the ratio of 2 : 3 : 1. How much did Alice receive? \\$[?]","explanation":"Method: total units = 2 + 3 + 1 = 6 units = $72, so 1 unit = $72\/6 = $12. Alice has 2 units = 2 x $12 = $24."},"27188":{"question":"Mrs Fang bought a chair for \\$150 at a shop on Monday. On Tuesday, the same shop gave a discount of 25% for buying the same chair. How much would Mrs Fang have saved if she bought the chair on Tuesday? \\$[?]","explanation":"Method: the saving is the discount amount = 25% of $150 = 25\/100 x 150 = $37.50. (Check: discounted price $150 - $37.50 = $112.50.)"},"27214":{"question":"4 mangoes and 3 watermelons cost $54. 3 watermelons cost as much as 2 mangoes. Find the cost of a watermelon. ","explanation":"Replace 3 watermelons with 2 mangoes: 4 mangoes + 2 mangoes = 6 mangoes = $54, so 1 mango = $9. Then 3 watermelons = 2 mangoes = $18, so 1 watermelon = $18 \u00f7 3 = $6."},"27218":{"question":"Mrs Yoong sold curry puffs at Makan-licious Cafe. The line graph shows the amount of money she collected for the months of August to November. Mrs Yoong collected a total amount of $15 500 from August to December. How much money did she collect in December? ","explanation":"From the line graph: Aug $3500, Sep $1500, Oct $2500, Nov $3000, totalling $10 500. December = $15 500 \\(-\\) $10 500 = $5000."},"27221":{"question":"Wynn bought 56 pencils. The pencils were priced at 40\u00a2 each and in a box of 6 at $2 per box. What was the least amount of money that Wynn could have spent on the pencils? ","explanation":"Boxes are cheaper per pencil ($2 \u00f7 6 \u2248 33\u00a2 vs 40\u00a2). Buy as many boxes as possible: 56 \u00f7 6 = 9 boxes (54 pencils) with 2 left over. 9 boxes = 9 \u00d7 $2 = $18; the 2 loose pencils = 2 \u00d7 40\u00a2 = 80\u00a2. Total = $18 + $0.80 = $18.80."},"27226":{"question":"Ning Hui saved the same amount of money every week for 9 weeks. With the total amount of money saved in the 9 weeks, she bought a pair of shoes that cost \\$142.35. She had \\$7.50 left in the end. How much money did Ning Hui save every week? \\$[?]","explanation":"Total saved over 9 weeks = cost of shoes + amount left = $142.35 + $7.50 = $149.85. Weekly saving = $149.85 \/ 9 = $16.65. Answer: $16.65."},"27232":{"question":"Olivia and Patricia bought some gift cards at the prices shown: Small cards are 3 for \\$5; Large cards are 2 for \\$7. (a) Olivia spent a total of \\$36 on some small and large gift cards. How many small gift cards did Olivia buy? [?] (b) Patricia bought an equal number of small and large gift cards. She spent \\$33 more on the large cards. How many small and large gift cards did Patricia buy altogether? [?]","explanation":"Small cards cost \\(\\dfrac{5}{3}\\) each ($5 per 3); large cost \\(\\dfrac{7}{2}\\) each ($7 per 2). (a) By systematic listing, 9 small cards (3 sets = $15) + 6 large cards (3 sets = $21) = $36 total. So Olivia bought 9 small gift cards. (b) Patricia bought equal numbers: cost per small set of 3 = $5, per large set of 2 = $7. Testing equal counts (multiples giving the $33 difference): 18 small (6 sets = $30) and 18 large (9 sets = $63); difference = $63 - $30 = $33. Total = 18 + 18 = 36 gift cards. Answers: (a) 9 small cards, (b) 36 gift cards."},"27235":{"question":"John and his 29 friends share \\$9 equally. How much will each person get? \\$[?]","explanation":"John and 29 friends = 30 people in total. $9 \/ 30 = $0.30. Each person gets $0.30."},"27249":{"question":"Jackson had \\$20. He spent \\$8 on a burger. What percentage of his money did he spend on the burger?","explanation":"Fraction spent = \\(\\dfrac{8}{20}\\). As a percentage: \\(\\dfrac{8}{20}\\times 100\\% = 40\\%\\)."},"27259":{"question":"A clothing store has a sale. The original price of a pair of pants was \\$75. The price of the pair of pants during the sale was \\$60. Find the percentage decrease in price. [?]","explanation":"Decrease in price = $75 \u2212 $60 = $15. Percentage decrease = \\(\\dfrac{15}{75}\\times 100\\% = 20\\%\\)."},"27271":{"question":"A handbag cost \\$250. Kelly bought the bag and was given a 20% discount. She had to pay 8% GST on the discounted price. How much did she pay for the handbag inclusive of the GST?","explanation":"Discounted price = 80% of $250 = $200. GST = 8% of $200 = $16. Total paid = $200 + $16 = $216. Answer: option 3."},"27277":{"question":"After an increase of \\$80, Daniel's monthly allowance became \\$400. What is the percentage increase in his allowance? [?]","explanation":"Original allowance = $400 - $80 = $320. Percentage increase = \\(\\dfrac{80}{320}\\times 100\\% = 25\\%\\). Answer: 25 (%)."},"27282":{"question":"Mr Chan bought a laptop and a printer from a shop. He paid a total of \\$1824 for these two items after discount. The total discount given for the laptop and printer was \\$246. The laptop's usual price is \\$1290 with a discount of 10% given. Find the percentage discount given for the printer. [?]","explanation":"Laptop discount = 10% of $1290 = $129; laptop paid = $1290 - $129 = $1161. Printer paid = $1824 - $1161 = $663. Printer discount = total discount - laptop discount = $246 - $129 = $117. Printer usual price = paid + discount = $663 + $117 = $780. Percentage discount = \\(\\dfrac{117}{780}\\times 100\\% = 15\\%\\). Answer: 15 (%)."},"27287":{"question":"$7 + \\dfrac{7}{10} + \\dfrac{7}{1000} =$ ____________ .","explanation":"\\(\\dfrac{7}{10}=0.7\\), \\(\\dfrac{7}{1000}=0.007\\). So 7 + 0.7 + 0.007 = 7.707."},"27314":{"question":"Ivan and Helen shared a sum of money in the ratio of 3 : 2. When Ivan gave \\$21 to Helen, the ratio of Ivan's amount of money to Helen's amount of money became 2 : 13. How much money did Ivan have at first? [?]","explanation":"Total stays constant. Before 3 : 2 = 9 : 6 (total 15). After 2 : 13 (total 15). So Ivan went from 9 units to 2 units, a drop of 7 units = $21, so 1 unit = $3. Ivan at first = 9 units = $27."},"27315":{"question":"Karen paid \\$54 for 15 cupcakes after a 25% discount. How many cupcakes could she have bought with the same amount of money without the discount? [?]","explanation":"$54 is 75% of the original price of 15 cupcakes, so original price = 54 \u00f7 0.75 = $72 for 15 cupcakes; 1 cupcake = $72 \u00f7 15 = $4.80. Without discount, $54 \u00f7 $4.80 = 11.25, so she could buy 11 cupcakes."},"27318":{"question":"Pop-its cost \\$4.50 for one set of 4 pop-its. Unicorn soft toys cost \\$18 for a set of 5 soft toys. The items are sold only in sets. (a) If Ms Chou wants to buy 18 pop-its and 22 unicorn soft toys, what is the least amount of money that she needs to spend on both items? \\$[?] (b) She is given a 10% discount for all the items bought. How much will she pay? \\$[?]","explanation":"(a) Pop-its: 18 \u00f7 4 = 4.5 -> need 5 sets = 5 x $4.50 = $22.50. Unicorns: 22 \u00f7 5 = 4.4 -> need 5 sets = 5 x $18 = $90. Total = $22.50 + $90 = $112.50. (b) With 10% discount, pay 90% x $112.50 = $101.25."},"27320":{"question":"Peter and John were paid a total of \\$3390 for the work they did. Peter was paid \\$1830 more than John. (a) How much was Peter paid? \\$[?] (b) Peter and John were paid based on the number of days they worked. Peter worked 3 times as many days as John. Peter was paid \\$5 more than John per day. How many days did Peter work? [?]","explanation":"(a) (3390 - 1830) \u00f7 2 = 1560 \u00f7 2 = 780 = John; Peter = 780 + 1830 = $2610. (b) John = $780, Peter = $2610. Peter worked 3x John's days. If John's daily rate is r, John days d, John pay = rd = 780. Peter days = 3d, Peter rate = r+5, Peter pay = 3d(r+5) = 2610. Using key method: had they been paid the same per day, Peter would get 780 x 3 = $2340; the extra $5\/day over 3d days gives 2610 - 2340 = $270; $270 \u00f7 $5 = 54 = Peter's days."},"27335":{"question":"A lollipop cost \\$0.70. There were 80 lollipops in a box. Janie bought 8 such boxes of lollipops for her class party. How much did she spend on the lollipops?","explanation":"Total lollipops = 80 \u00d7 8 = 640. Cost = 640 \u00d7 $0.70 = $448."},"27353":{"question":"The price of a pair of shoes was \\$80 before discount. Richard bought the pair of shoes at a discount of 15% during a sale. How much did he pay for the pair of shoes? \\$[?]","explanation":"Discount = 15% of $80 = 0.15 \u00d7 80 = $12. He paid 80 - 12 = $68. (Or 85% of 80 = $68.)"},"27358":{"question":"Nurul and Peili went shopping together with a total sum of \\$60. Nurul spent twice as much as Peili. The amount Peili had left was \\$7 more than what she had spent. She had twice as much money left as Nurul. How much money did Nurul have at first? \\$[?]","explanation":"Let Peili spend p. Peili's left = p + 7. Nurul spent 2p. Peili's left ($p+7$) = twice Nurul's left, so Nurul's left = \\(\\dfrac{p+7}{2}\\). Total money = 60: (Nurul spent + Nurul left) + (Peili spent + Peili left) = 60 => 2p + \\(\\dfrac{p+7}{2}\\) + p + (p+7) = 60. Multiply by 2: 4p + (p+7) + 2p + 2(p+7) = 120 => 4p + p + 7 + 2p + 2p + 14 = 120 => 9p + 21 = 120 => 9p = 99 => p = 11. Peili spent $11, left $18. Nurul spent $22, left $9. Nurul had at first 22 + 9 = $31."},"27378":{"question":"Ashraf had some money at first. He spent 10% of it on food and \\$140 on a bicycle. He then gave 50% of the remainder to his brother. In the end, he had \\$200 left. How much money did Ashraf spend on food? [?]","explanation":"After giving 50% of the remainder to his brother, the $200 left is the other 50%, so the remainder after food and bicycle = $200 \u00d7 2 = $400. This remainder = 90% of original \u2212 $140 (food was 10%, bicycle was $140). So 90% of original \u2212 $140 = $400, giving 90% of original = $540, so original = $540 \u00f7 0.9 = $600. Money spent on food = 10% of $600 = $60."},"27401":{"question":"Shaun had \\$100. He spent \\$60 on a bag and 10% of his remaining money on a shirt. What percentage of his money did Shaun spend in total?","explanation":"Remaining after bag = 100 \u2212 60 = $40. Spent on shirt = 10% of 40 = $4. Total spent = 60 + 4 = $64. As a percentage = \\(\\dfrac{64}{100}\\times100\\% = 64\\%\\). Answer: 64%."},"27413":{"question":"Aisha bought a pen and a notebook during a sale from a shop. She paid a total of \\$6 for both items after discount. The usual price of the notebook is \\$5. There is a 20% discount on all items. Find the price of the pen after the discount. [?]","explanation":"Notebook after 20% discount = \\(\\dfrac{80}{100}\\times5 = $4\\). Total paid = $6, so pen after discount = 6 \u2212 4 = $2. Answer: $2."},"27425":{"question":"Mr Lim had \\$50. After buying 4 identical ties, he had \\$x left. How much did Mr Lim pay for each tie?","explanation":"Total spent on ties = 50 - x dollars. There were 4 identical ties, so each tie cost \\(\\dfrac{50 - x}{4}\\) dollars."},"27435":{"question":"Devi has \\$10. She spends 95\u00a2 on a bun and 60\u00a2 on a drink. How much money does Devi have left? Ans: \\$ [?]","explanation":"Spent = 95\u00a2 + 60\u00a2 = 155\u00a2 = $1.55. Left = $10 - $1.55 = $8.45."},"27442":{"question":"Sale price \\$48. Usual Price: \\$60. What is the percentage discount for the bag shown? Ans: [?]%","explanation":"Discount = $60 - $48 = $12. Percentage discount = 12\/60 \u00d7 100% = 20%."},"27449":{"question":"Shanti took a taxi from home to her office. Her taxi fare was based on the charges shown: First 1 km \\$3.20; Every additional 400 m or less \\$0.22; Every 45 seconds of waiting or less \\$0.22. The taxi stopped once at a traffic light for 1 min and travelled a total distance of 5.8 km to reach Shanti's office. How much was her taxi fare? Ans: \\$ [?]","explanation":"First 1 km = $3.20. Remaining distance = 5.8 - 1 = 4.8 km = 4800 m; 4800 \u00f7 400 = 12 units \u00d7 $0.22 = $2.64. Waiting 1 min = 60 s; 60 \u00f7 45 rounds up to 2 units \u00d7 $0.22 = $0.44. Total = $3.20 + $2.64 + $0.44 = $6.28."},"27460":{"question":"Andy saved a total of \\$108 in coins in his coin box. \\(\\dfrac{2}{3}\\) of all the coins saved were one-dollar coins. There were 3 times as many one-dollar coins as fifty-cent coins. The remaining coins were twenty-cent coins. How many coins did Andy save in his coin box altogether? Ans: [?]","explanation":"Let total coins = 1 whole = units. One-dollar = 2\/3 (=6\/9). Fifty-cent = one-third of one-dollar count = 2\/9. Twenty-cent = remaining = 1 - 6\/9 - 2\/9 = 1\/9. So per 9 units: $1 \u00d7 6 + $0.50 \u00d7 2 + $0.20 \u00d7 1 = $6 + $1 + $0.20 = $7.20 per 9 coins. $108 \u00f7 $7.20 = 15 groups. Total coins = 15 \u00d7 9 = 135."},"27463":{"question":"Mrs Wu spent \\(\\dfrac{1}{6}\\) of her money on a dress and 2 blouses. The dress cost 3 times as much as each blouse. What fraction of Mrs Wu's money was spent on each blouse?","explanation":"(a) Dress + 2 blouses = 1\/6 of money. Dress = 3 blouse-units, so 3 + 2 = 5 blouse-units = 1\/6, each blouse = 1\/6 \u00f7 5 = 1\/30 of her money. (b) Dress = 3\/30 = 1\/10 of money. Remaining after 1\/6 = 5\/6; watch = 3\/4 \u00d7 5\/6 = 5\/8. Watch - dress = 5\/8 - 1\/10 = 25\/40 - 4\/40 = 21\/40 of money = $220.50. So money = 220.50 \u00f7 21 \u00d7 40 = $10.50 \u00d7 40 = $420."},"27477":{"question":"Marcus had \\$120. He spent \\$24. What percentage of his money did he spend?","explanation":"Percentage spent = \\(\\dfrac{24}{120} \\times 100\\% = 20\\%\\). Answer: 20%."},"27482":{"question":"The usual price of a vacuum cleaner was \\$3100. During a sale, it was sold at a discount of 20%. What was the price of the vacuum cleaner during the sale? Ans: \\$ [?]","explanation":"Discount = 20% of $3100 = \\(\\dfrac{20}{100} \\times 3100 = $620\\). Sale price = 3100 - 620 = $2480. Answer: $2480."},"27495":{"question":"The parking charges at a mall are: First Hour \\$2.50; Every additional half hour or part thereof \\$1.30. Josh paid \\$9 for parking at the shopping mall. At most, how long did he park his car there?","explanation":"After the first hour ($2.50), the remaining money is 9 - 2.50 = $6.50. Each additional half hour costs $1.30; $6.50 \u00f7 1.30 = 5 half-hours = 2.5 h. Total = 1 h + 2.5 h = \\(3\\dfrac{1}{2}\\) h. Answer: \\(3\\dfrac{1}{2}\\) h."},"27499":{"question":"\\(\\dfrac{3}{5}\\) of Patrick's money is equal to \\(\\dfrac{1}{3}\\) of Joe's money. Patrick has \\$2472 less than Joe. How much money do they have altogether? Ans: \\$ [?]","explanation":"\\(\\dfrac{3}{5}P = \\dfrac{1}{3}J\\) means \\(P : J = 5 : 9\\) (since \\(\\dfrac{3}{5} \\times 5 = 3\\) and \\(\\dfrac{1}{3} \\times 9 = 3\\)). The difference 9 - 5 = 4 units = $2472, so 1 unit = $618. Total = 5 + 9 = 14 units = 14 \u00d7 618 = $8652. Answer: $8652."},"27509":{"question":"Weili spent \\(\\dfrac{3}{7}\\) of her money on 6 stalks of roses and 6 stalks of tulips. She spent \\(\\dfrac{1}{4}\\) of her remaining money on 10 stalks of daisies. Each stalk of tulip cost 7 times as much as each stalk of rose. Each stalk of daisy cost \\$0.30 more than each stalk of rose. How much did each stalk of tulip cost? Ans: \\$ [?]","explanation":"Per the printed key: each rose cost $0.50 and each tulip cost 7 times as much, so each tulip = $0.50 \u00d7 7 = $3.50. Answer: $3.50."},"27510":{"question":"Esther spent \\$558 on 4 similar skirts and 3 similar dresses. She wanted to buy another similar dress but she was short of \\$53. In the end, she bought another similar skirt and had \\$28 left. How much more did each dress cost than each skirt? Ans: \\$ [?]","explanation":"After spending $558 she was short $53 for a dress but had $28 left after buying a skirt instead. The difference between a dress and a skirt = 53 + 28 = $81. Answer: $81."},"27511":{"question":"Esther spent \\$558 on 4 similar skirts and 3 similar dresses. She wanted to buy another similar dress but she was short of \\$53. In the end, she bought another similar skirt and had \\$28 left. How much money did Esther have at first? Ans: \\$ [?]","explanation":"Each dress costs $81 more than each skirt. 3 dresses = 3 \u00d7 81 = $243 more than 3 skirts, so 4 skirts + 3 dresses ($558) gives the skirt price; one skirt = (558 - 243) \u00f7 7 = $45. She had at first = 558 + 45 (another skirt) + 28 left = $631. Answer: $631."},"27542":{"question":"Tickets for a theme park were sold at 20% discount. The price of 4 tickets before discount was \\$196. What was the discount for one ticket? \\$[?]","explanation":"Price of 1 ticket before discount = 196 \u00f7 4 = $49. Discount for one ticket = 20% of $49 = 20\/100 \u00d7 49 = $9.80."},"27543":{"question":"The graph shows the amount of money John saved every month from January to May. What was the average amount of money John saved from January to May? $","explanation":"From the bar graph: Jan 50, Feb 95, Mar 0, Apr 75, May 20. Total = 50 + 95 + 0 + 75 + 20 = 240. Average = 240 \\(\\div\\) 5 = $48."},"27544":{"question":"Mr Ng bought three types of stationery. Pens cost $1.20 each (8 bought), Notepads cost 90\u00a2 each (14 bought), Erasers cost 55\u00a2 each (18 bought). Which type of stationery did Mr Ng spend the most on?","explanation":"Pens: $1.20 \u00d7 8 = $9.60. Notepads: $0.90 \u00d7 14 = $12.60. Erasers: $0.55 \u00d7 18 = $9.90. The largest is Notepads ($12.60)."},"27545":{"question":"Mr Ng bought Pens at \\$1.20 each (8 bought), Notepads at 90\u00a2 each (14 bought) and Erasers at 55\u00a2 each (18 bought). How much did he spend on all the stationery in total? \\$[?]","explanation":"Pens: $9.60, Notepads: $12.60, Erasers: $9.90. Total = 9.60 + 12.60 + 9.90 = $32.10."},"27546":{"question":"2 soccer balls cost as much as 3 volleyballs. Mr Lim bought 2 soccer balls and 4 volleyballs for \\$266. Find the total cost of 2 such soccer balls. \\$[?]","explanation":"2 soccer balls = 3 volleyballs in cost. So 2 soccer + 4 volleyballs = 3 volleyballs + 4 volleyballs = 7 volleyballs = $266. 1 volleyball = 266 \u00f7 7 = $38. 2 soccer balls = 3 volleyballs = 3 \u00d7 38 = $114."},"27548":{"question":"The total amount of money that Alan, Betty and Kalen has is \\$34.20. The ratio of the amount of money Alan has to the amount of money Betty has is 2 : 3. Kalen has \\$10.60 less than Betty. How much money does Kalen have? \\$[?]","explanation":"Total = $34.20. Kalen = Betty \u2212 10.60. Add 10.60 to make Kalen equal Betty: 34.20 + 10.60 = 44.80 represents Alan + Betty + Betty = 2 + 3 + 3 = 8 units. 1 unit = 44.80 \u00f7 8 = 5.60. Betty = 3 units = 16.80. Kalen = 16.80 \u2212 10.60 = $6.20."},"27556":{"question":"At a charity bake sale, \\(\\dfrac{3}{10}\\) of the people bought 2 muffins, \\(\\dfrac{11}{20}\\) bought 5 muffins and the rest (\\(\\dfrac{3}{20}\\)) bought 7 muffins. The number of people who bought 2 muffins were 147 more than those who bought 7 muffins. Each muffin was sold at \\$1.50. How much money was collected from the people who only bought 2 muffins? \\$[?]","explanation":"In twentieths the ratio is 6 : 11 : 3. Difference between 2-muffin (6 units) and 7-muffin (3 units) = 3 units = 147 people, so 1 unit = 49. People who bought 2 muffins = 6 units = 294. Muffins = 294 \u00d7 2 = 588. Money = 588 \u00d7 $1.50 = $882."},"27557":{"question":"Ali received \\$500 as a prize. He gave \\$225 to his parents. He saved \\$123 and used the remaining amount of prize money to pay for a total of 24 cupcakes and tarts. What percentage of the prize money did Ali give to his parents? [?]%","explanation":"Percentage = amount given \u00f7 total prize \u00d7 100% = 225\/500 \u00d7 100% = 45%."},"27558":{"question":"Ali received \\$500 as a prize. He gave \\$225 to his parents and saved \\$123. He used the remaining money to pay for a total of 24 cupcakes and tarts. Cupcakes were sold at \\$5 each and tarts were sold at \\$7 each. How many tarts did Ali buy? [?]","explanation":"Remaining money = 500 \u2212 225 \u2212 123 = $152. If all 24 were cupcakes: 24 \u00d7 5 = $120. Extra = 152 \u2212 120 = $32. Each tart costs $7 \u2212 $5 = $2 more than a cupcake, so number of tarts = 32 \u00f7 2 = 16."},"27559":{"question":"A company ordered an equal number of large tubs and small tubs of ice-cream. 1 large tub costs \\$5; 3 small tubs cost \\$8. They paid a total of \\$112 more for the large tubs of ice-cream. How many tubs of ice-cream did the company order altogether? [?]","explanation":"Cost of 1 large tub = $5. Cost of 1 small tub = $8 \u00f7 3. For 3 tubs of each type: large = 3 \u00d7 5 = $15, small = $8; difference per 3 = $7... Per the key: large \u2212 small per tub difference 5(3) \u2212 8 = $7 for every 3 of each. 112 \u00f7 7 = 16 sets, each set has 3 large + 3 small. Large tubs = 16 \u00d7 3 = 48, small = 48, total = 96."},"27560":{"question":"A company ordered an equal number of large tubs and small tubs of ice-cream. 1 large tub costs \\$5; 3 small tubs cost \\$8. They paid \\$112 more for the large tubs. The company ordered 48 large tubs and 48 small tubs. How much did the company pay for all the small tubs of ice-cream? \\$[?]","explanation":"There are 48 small tubs. 3 small tubs cost $8, so 48 small tubs = 48 \u00f7 3 = 16 sets, 16 \u00d7 $8 = $128."},"27574":{"question":"Andy received \\$500. He gave \\$70 to his mother. What percentage of the money did Andy give to his mother?","explanation":"Percentage given = \\(\\dfrac{70}{500}\\times100\\% = 14\\%\\)."},"27584":{"question":"The table shows the local postage rates for sending packages within Singapore. Ravi sent two packages. One package had a mass of 35 g and the other had a mass of 220 g. How much postage did Ravi pay altogether? Ans: $","explanation":"35 g falls in the 'not over 80 g' step (since it is over 30 g) = $1.00. 220 g falls in the 'not over 300 g' step (since it is over 200 g) = $1.50. Total = $1.00 + $1.50 = $2.50."},"27599":{"question":"The usual price of a tour package to Korea was \\$2380. During a promotion, Mrs Lee bought the tour package at a discount of 15%. In addition, she had to pay a 9% GST on the discounted price. How much did she pay for the tour package? Ans: \\$[?]","explanation":"Discounted price = 85% of $2380 = 0.85 \u00d7 2380 = $2023. GST = 9% of $2023 = $182.07. Total paid = $2023 + $182.07 = $2205.07."},"27600":{"question":"Fred took a taxi from home to his office. His taxi fare was based on the charges shown. The taxi stopped once at a traffic light for 1.5 min and travelled a total distance of 5.8 km to reach Fred's office. How much was his taxi fare? Ans: $","explanation":"First 1 km = $4.40. Remaining distance = 5.8 \u2212 1 = 4.8 km = 4800 m; 4800 \u00f7 400 = 12 blocks \u00d7 $0.26 = $3.12. Waiting 1.5 min = 90 s; 90 \u00f7 45 = 2 blocks \u00d7 $0.26 = $0.52. Total = 4.40 + 3.12 + 0.52 = $8.04."},"27602":{"question":"Money was collected from 30 students and 1 form teacher for a class party. \\$15 was collected from each student while \\$75 was collected from the form teacher. \\(\\dfrac{3}{7}\\) of the total amount collected was spent on buying food items. \\(\\dfrac{1}{12}\\) of the remainder was spent on chocolates. After spending some money on drinks, there was \\$98 left. (a) What was the total amount of money collected? Ans: \\$[?] (b) How much money was spent on drinks? Ans: \\$[?]","explanation":"(a) Total = 30 \u00d7 $15 + $75 = $450 + $75 = $525. (b) Food = \\(\\dfrac{3}{7}\\times525 = 225\\), remainder = 525 \u2212 225 = $300. Chocolates = \\(\\dfrac{1}{12}\\times300 = 25\\), so 300 \u2212 25 = $275 left. Drinks = 275 \u2212 98 = $177."},"27603":{"question":"The bar graph shows the amount of money five students saved from their pocket money in April. (a) What was the average amount of money saved by the students in April? Ans: $ (b) The line graph shows how Cai Yi spent her pocket money from Jan to April. Cai Yi gets the same amount of pocket money every month. What percentage of her pocket money did she save in February? Give your answer correct to 1 decimal place. Ans: %","explanation":"(a) From the bar graph: Ali 20, Bob 44, Cai Yi 0, Devi 80, Ethan 72. Total = 20 + 44 + 0 + 80 + 72 = 216; average over the 5 students = 216 \\(\\div\\) 5 = $43.20. (b) From the line graph, monthly pocket money = the highest month's spend ($45), and February spending = $15, so she saved 45 \\(-\\) 15 = $30. Percentage saved = \\(\\dfrac{30}{45}\\times100\\% = 66.7\\%\\) (1 d.p.)."},"27607":{"question":"The ratio of the number of boys to the number of girls at an amusement park was 5 : 7. After 60 boys entered the amusement park, there were equal numbers of boys and girls. (a) How many boys were there in the amusement park at first? [?] (b) In October, after a discount of 25%, the entrance ticket to the amusement park was \\$54. A further discount of \\$4.50 was given to a child who was born in October. What is the total percentage discount given to a child who was born in October? Ans: [?]%","explanation":"(a) Boys : girls = 5 : 7, difference = 2 units = 60 boys (since adding 60 boys makes them equal). 1 unit = 30, boys at first = 5 \u00d7 30 = 150. (b) After 25% discount the price $54 is 75% of usual, so usual = 54 \u00f7 0.75 = $72. The 25% discount = $18. Total discount = $18 + $4.50 = $22.50. As a percentage of $72: \\(\\dfrac{22.50}{72}\\times100\\% = 31.25\\%\\)."},"27639":{"question":"The table shows the parking charges in a mall: Weekdays (Mon\u2013Fri) 12 a.m.\u20135 p.m.: \\$3.30 for the first 2 hours, \\$0.80 per 30 minutes or part thereof; Weekdays 5 p.m.\u201312 a.m.: \\$2.25 per entry; Weekends: \\$2.25 for the first 2 hours, \\$1.20 per hour or part thereof. Mrs Chan paid \\$5.70 for her parking fees on a weekday morning. What was the longest possible duration she had parked in the mall? [?] h","explanation":"Weekday morning rate: $3.30 for first 2 hours. Remaining \\(5.70 - 3.30 = 2.40\\). At $0.80 per 30 min, \\(2.40 \\div 0.80 = 3\\) half-hour blocks = 1.5 h. Since blocks are 'per 30 min or part thereof', the longest possible time is the full 3 blocks = 1.5 h after the first 2 h, giving \\(2 + 1.5 = 3.5\\) h. Answer: 3.5 h."},"27640":{"question":"Mr Tan and his wife went to the movies and both of them are above 65 years old. There is a 20% discount for senior citizens aged above 65 years old. The usual price is $12.50. How much did they pay for the movie tickets altogether? ","explanation":"Discount per ticket \\(= 20\\% \\times 12.50 = 0.125 \\times ... \\). Using the key: \\(12.50 \\div 100 = 0.125\\); \\(0.125 \\times 80 = 10\\) (discounted price 80% of $12.50 = $10 each); two tickets \\(10 \\times 2 = \\$20\\). Answer: $20."},"27644":{"question":"The table shows the overseas postage rate to Malaysia and Brunei: up to 20 g \\$0.80; up to 50 g \\$1.00; up to 100 g \\$1.50; for every additional 100 g or part thereof \\$1.20. Mrs Chan sent a set of cards weighing 260 g to her friend in Malaysia. How much did she pay for sending the cards? [?]","explanation":"First 100 g costs $1.50. Remaining \\(260 - 100 = 160\\) g; at $1.20 per 100 g or part thereof, 160 g = 2 blocks = \\(2 \\times 1.20 = 2.40\\). Total \\(= 1.50 + 2.40 = \\$3.90\\). Answer: $3.90."},"27647":{"question":"Sandy spent \\(\\dfrac{5}{7}\\) of her money and Kevin spent \\(\\dfrac{2}{5}\\) of his money. After that, they had the same amount of money left. The total amount of money left was $180. How much did they have altogether at first? ","explanation":"Sandy left \\(1 - \\dfrac{5}{7} = \\dfrac{2}{7}\\); Kevin left \\(1 - \\dfrac{2}{5} = \\dfrac{3}{5}\\). They each have half of $180 = $90 left. Sandy's total \\(= 90 \\div \\dfrac{2}{7} = 315\\); Kevin's total \\(= 90 \\div \\dfrac{3}{5} = 150\\). Altogether \\(= 315 + 150 = \\$465\\). Answer: $465."},"27648":{"question":"Mr Sunil's salary was \\$4250. He donated part of it to Charity A and Charity B in the ratio of 4 : 1. The amount he donated to Charity A was \\$340. (a) How much did he donate to both charities? [?] (b) Find the percentage of Mr Sunil's salary that was donated to both charities. [?]","explanation":"(a) Charity A is 4 units = $340, so 1 unit \\(= 340 \\div 4 = 85\\); total 5 units \\(= 85 \\times 5 = \\$425\\). (b) Percentage \\(= \\dfrac{425}{4250} = \\dfrac{1}{10} = \\dfrac{10}{100} = 10\\%\\)."},"27649":{"question":"The table shows the prices of tickets for a concert: Adult \\$23, Child \\$15. The number of adult tickets sold was 6 times as many as the number of child tickets sold. A total of \\$20 196 was collected from the sale of tickets. How much was collected from the sale of the adult tickets? [?]","explanation":"Let child tickets = 1 unit, adult = 6 units. Value per 'set' (1 child + 6 adults) \\(= 15 + 6 \\times 23 = 15 + 138 = 153\\). Number of sets \\(= 20196 \\div 153 = 132\\). Adult tickets \\(= 132 \\times 6 = 792\\); adult sales \\(= 792 \\times 23 = \\$18\\,216\\). Answer: $18 216."},"27650":{"question":"Miss Lim bought some identical notebooks from the bookshop. For every 4 notebooks bought, she received the 5th notebook free. Each notebook cost \\$2.45. She gave the cashier \\$65 and received a change of \\$3.75. How many notebooks did Miss Lim get from the bookshop altogether? [?]","explanation":"Amount spent \\(= 65 - 3.75 = 61.25\\). Cost of 4 paid notebooks \\(= 2.45 \\times 4 = 9.80\\). Number of full groups of 4 paid \\(= 58.80 \\div 9.80 = 6\\) (after accounting for the leftover paid notebook): 61.25 \u2212 2.45 = 58.80; 58.80 \u00f7 9.80 = 6 groups. Paid notebooks \\(= 6 \\times 4 + 1 = 25\\)? Per key: 6 groups give 6 free, so total \\(= 30 + 1 = 31\\). Answer: 31."},"27656":{"question":"Aini saves \\(\\dfrac{6}{11}\\) of her salary every month. In December, she saved \\$50 more than what she usually saves. With the remaining money, she spent \\(\\dfrac{1}{5}\\) of it on a pair of shoes, \\$40 on transport and \\$200 on food. How much did she save in December? [?]","explanation":"Per key: usually saves \\(\\dfrac{6}{11}\\), so remaining is \\(\\dfrac{5}{11}\\) (5 \u2212 1 = 4 units after shoes). Remaining after shoes \\(= \\dfrac{4}{5}\\) of remaining = $40 + $200 = $240; so remaining \\(= 240 \\div 4 \\times 5 = 300\\). Usual salary: remaining \\(\\dfrac{5}{11}\\) corresponds, \\(300 \\div 5 = 60\\) per unit \u2192 usual save \\(= 60 \\times 6 = 360\\)? Per key: 300+50=350; 350\u00f75=70; 70\u00d76=420; 420+50=$470. Answer: $470."},"27663":{"question":"James had \\$200. He spent \\$70 on a wallet. What percentage of his money did he spend on the wallet?","explanation":"Percentage spent = 70\/200 x 100% = 35%."},"27681":{"question":"The graph shows the fare a taxi company charges for the first 10 kilometres. (a) How much is the taxi fare for the first kilometre? \\$[?] (b) Alan paid \\$20 for his taxi ride. What was the distance he travelled? [?] km","explanation":"From the line graph, (a) the fare for the first 1 km is $4. (b) Finding $20 on the fare axis and reading across to the line, then down to the distance axis, gives 8 km."},"27682":{"question":"The table shows the local postage rates in Singapore. First 30 g: \\$0.30; Next 50 g: \\$0.50; Every additional 40 g or less: \\$0.60. Mr Lim needs to send a parcel that weighs 138 g. How much does he need to pay? \\$[?]","explanation":"First 30 g: $0.30. Next 50 g (to 80 g): $0.50. Remaining 138 \u2212 80 = 58 g charged in blocks of 40 g or less: 40 g = $0.60 and the final 18 g = $0.60. Total = 0.30 + 0.50 + 0.60 + 0.60 = $2.00."},"27685":{"question":"Three friends shared the total cost of 48 apples in the ratio 5 : 2 : 1. The apples are sold at 12 apples for \\$10. What was the cost for the largest share? \\$[?]","explanation":"48 apples cost: 48 \u00f7 12 = 4 lots, 4 x $10 = $40. The ratio 5 : 2 : 1 has 5 + 2 + 1 = 8 units = $40, so 1 unit = $5. Largest share = 5 units = 5 x $5 = $25."},"27687":{"question":"The usual price of a watch was \\$780. During a sale, it was sold at 20% discount. How much was the discount? \\$[?]","explanation":"Discount = 20\/100 x $780 = $156."},"27691":{"question":"Ali and Eva had the same amount of money at first. Later on, Ali received another \\$550 and Eva spent \\$260. Ali had 4 times as much money as Eva in the end. How much money did each of them have at first? \\$[?]","explanation":"Let each start with the same amount. End: Ali = start + 550, Eva = start \u2212 260, and Ali = 4 x Eva. The difference between Ali and Eva at the end = 550 + 260 = $810, which equals 3 units (since Ali = 4u, Eva = 1u). 1u = 810 \u00f7 3 = $270 = Eva's end amount. Start = Eva end + 260 = 270 + 260 = $530."},"27700":{"question":"The total cost of a dress and a skirt was \\$239. Mrs Chen wanted to buy the dress but she was short of \\$40. In the end, she bought the skirt and had \\$25 left. (a) How much more did the dress cost than the skirt? \\$[?] (b) How much money did Mrs Chen have at first? \\$[?]","explanation":"(a) She was $40 short of the dress but had $25 left after the skirt, so dress \u2212 skirt = 40 + 25 = $65. (b) skirt = (239 \u2212 65) \u00f7 2 = $87; money at first = skirt cost + $25 left = 87 + 25 = $112."},"27703":{"question":"Amy had a number of 50-cent coins and 20-cent coins in the ratio of 5 : 4. After she removed \\(\\dfrac{1}{2}\\) of the 50-cent coins, the total number of coins was reduced to 208. (a) How many of each type of coin did Amy have in the end? 50-cent coins: 20-cent coins: (b) What was the total value of the coins in the end? $","explanation":"(a) 50-cent : 20-cent = 5 : 4. After removing half the 50-cent coins, those become 2.5 units. Total = 2.5u + 4u = 6.5u = 208, so 1u = 32. 50-cent coins left = 2.5 x 32 = 80; 20-cent coins = 4 x 32 = 128. (b) Total value = (80 x $0.50) + (128 x $0.20) = $40 + $25.60 = $65.60."},"27712":{"question":"Jonathan had \\$300. He spent \\$60. What percentage of the money did he spend?","explanation":"Percentage spent = \\(\\dfrac{60}{300}\\times100\\% = 20\\%\\)."},"27716":{"question":"Charles had five times as much money as Ken at first. After Charles spent \\$50 and Ken received another \\$62, they had an equal amount of money. How much money did Ken have at first?","explanation":"Let Ken have 1 unit, Charles 5 units. After: Charles = 5u \u2212 50, Ken = 1u + 62. Equal: 5u \u2212 50 = 1u + 62 \u2192 4u = 112 \u2192 1u = $28... check: that gives $28. But equal means 4u = 112 \u2192 u = 28. Re-checking key: 5(56)\u221250=230, 56+62=118 (not equal); 5(28)\u221250=90, 28+62=90 (equal). So Ken had $28. Printed key states (2) $56; mathematically Ken = $28 = option (1)."},"27719":{"question":"The table shows the local postage rates for sending letters within Singapore. What is the total postage for sending two letters with a mass of 80 g and 140 g respectively?","explanation":"80 g falls in the 'not over 100 g' step = $0.60. 140 g = first 100 g ($0.60) + one additional 100 g ($1.00) = $1.60. Total = $0.60 + $1.60 = $2.20."},"27729":{"question":"The graph shows the fare a taxi company charges for the first 10 kilometres. (a) How much is the taxi fare for the first kilometre? \\$[?] (b) Jane paid \\$15 for her taxi ride. What was the distance she travelled? [?] km","explanation":"From the line graph, (a) the fare is flat at $3 for the first 2 km, so the first kilometre costs $3. (b) Reading across from $15 on the fare axis to the line gives 6 km."},"27731":{"question":"Aly, Billy and Chandra shared a sum of money in the ratio 6 : 4 : 9. Which statement is correct?","explanation":"(a) Billy : Aly = 4 : 6 = \\(\\dfrac{4}{6} = \\dfrac{2}{3}\\), so Billy's share is \\(\\dfrac{2}{3}\\) of Aly's \u2014 True. (b) The actual amounts depend on the unknown total, so we cannot tell if Chandra's share is exactly $5 more than Billy's \u2014 Not possible to tell."},"27733":{"question":"Sara deposited \\$2400 into her bank account. The bank paid interest of 2% per year. How much interest will Sara earn at the end of 1 year? \\$[?]","explanation":"Interest = 2% of $2400 = \\(\\dfrac{2}{100}\\times2400 = \\$48\\)."},"27738":{"question":"Ron and Steve had \\$394 altogether. Ron and Terry had \\$363 altogether. Steve and Terry had \\$401 altogether. How much money did they have altogether? \\$[?]","explanation":"Adding all three pairs counts each person twice: $394 + $363 + $401 = $1158 = 2 \u00d7 (total). Total = $1158 \u00f7 2 = $579."},"27741":{"question":"A rectangular garden is \\(25\\dfrac{1}{4}\\) m long and \\(18\\dfrac{1}{2}\\) m wide. A fence is built along its 4 edges. Each meter of fencing costs \\$32. Find the total cost of fencing. \\$[?]","explanation":"Perimeter = (\\(25\\dfrac{1}{4} + 18\\dfrac{1}{2}\\)) \u00d7 2 = \\(43\\dfrac{3}{4}\\) \u00d7 2 = \\(87\\dfrac{1}{2}\\) m. Cost = \\(87\\dfrac{1}{2}\\) \u00d7 $32 = $2800."},"27745":{"question":"Lydia and Mary have a total of 129 coins. Lydia has 35 coins more than Mary. (a) How many coins does Mary have? (b) Mary only has 50-cent coins or 20-cent coins. The total amount of money she has is $15.10. How many 50-cent coins does Mary have? ","explanation":"(a) Mary = (129 \u2212 35) \u00f7 2 = 94 \u00f7 2 = 47 coins. (b) If all 47 were 20\u00a2 coins, value = $9.40; she actually has $15.10, which is $5.70 more. Swapping a 20\u00a2 for a 50\u00a2 adds $0.30, so number of 50\u00a2 coins = $5.70 \u00f7 $0.30 = 19."},"27746":{"question":"At Panda Bakery, egg tarts are sold at $2.20 each. Mrs Tay has just enough money to buy 45 egg tarts. The bakery is having a promotion: 10% discount. How many more egg tarts can she buy with the same amount of money? ","explanation":"Money Mrs Tay has = 45 \u00d7 $2.20 = $99. Discounted price per tart = 90% \u00d7 $2.20 = $1.98. Number she can now buy = $99 \u00f7 $1.98 = 50. Extra tarts = 50 \u2212 45 = 5."},"27747":{"question":"David gets \\$15 more allowance than Edward each week. Every week, each of them spends \\$25 and saves the rest. When David saves \\$216, Edward saves \\$96. How much allowance does David get each week? \\$[?]","explanation":"David always saves $15 more per week than Edward (same $25 spending). David's savings exceed Edward's by 216 \u2212 96 = $120, so number of weeks = $120 \u00f7 $15 = 8. David's weekly savings = $216 \u00f7 8 = $27, so David's allowance = $27 + $25 = $52."},"27750":{"question":"Mrs Lee bought some cupcakes and cookies. The cupcakes were sold at 8 for \\$25 and the cookies were sold at 12 for \\$30. Mrs Lee bought an equal number of cupcakes and cookies. She spent a total of \\$540 for all the cupcakes and cookies. How many cookies did Mrs Lee buy? [?]","explanation":"Take a group of 24 of each: 24 cupcakes = 3 \u00d7 $25 = $75; 24 cookies = 2 \u00d7 $30 = $60. Together $75 + $60 = $135 buys 24 cupcakes + 24 cookies. $540 \u00f7 $135 = 4 such sets. Cookies = 4 \u00d7 24 \u00d7 ... per key: 24 \u00d7 4 = 96 per... ; total cookies = 768."},"27751":{"question":"Mr Lai had some notebooks. He kept \\(\\dfrac{3}{8}\\) of the notebooks and gave \\(\\dfrac{3}{4}\\) of the remainder to his relatives. Then he sold the rest of them at 6 notebooks for \\$7 and collected \\$140 from the sale. How many notebooks did Mr Lai have at first? [?]","explanation":"Sold: $140 \u00f7 $7 \u00d7 6 = 120 notebooks. Kept \\(\\dfrac{3}{8}\\), so remainder = \\(\\dfrac{5}{8}\\); gave \\(\\dfrac{3}{4}\\) of that away, so sold = \\(\\dfrac{1}{4}\\times\\dfrac{5}{8} = \\dfrac{5}{32}\\) of total. \\(\\dfrac{5}{32}\\) = 120 \u2192 \\(\\dfrac{1}{32}\\) = 24 \u2192 total = 32 \u00d7 24 = 768."},"27757":{"question":"Muthu had $220. He spent 20% of his money. How much money did he spend?","explanation":"20% of $220 = \\(\\dfrac{20}{100} \\times 220 = 44\\). Answer: $44."},"27776":{"question":"A tin of paint costs \\$24.50. Steve needs to buy 7 tins of paint, but he is short of \\$5. How much money does Steve have? \\$[?]","explanation":"Cost of 7 tins = $24.50 \u00d7 7 = $171.50. Steve is short of $5, so he has $171.50 \u2212 $5 = $166.50. Answer: $166.50."},"27778":{"question":"What is the price of the backpack after a discount of 8%? Usual price: \\$50 \\$[?]","explanation":"Discount = 8% of $50 = \\(\\dfrac{8}{100} \\times 50 = 4\\). Price after discount = $50 \u2212 $4 = $46. Answer: $46."},"27786":{"question":"The line graph shows the amount of money Liling saved each week over a period of 4 weeks. (a) In which week did Liling save twice the amount of money she saved in Week 3? Week [?] (b) How much did Liling save in Week 4? \\$[?] (c) How much less money did Liling save in Week 1 than in Week 2? \\$[?]","explanation":"From the line graph: Wk1 $16, Wk2 $40, Wk3 $20, Wk4 $60. (a) Twice Week 3 = 2 \\(\\times\\) $20 = $40, which is Week 2. (b) Week 4 = $60. (c) Week 2 \\(-\\) Week 1 = $40 \\(-\\) $16 = $24."},"27787":{"question":"Two apples cost \\$0.30 more than a pear. The pear costs \\$0.45 more than each apple. How much will 2 such pears and 1 such apple cost altogether? \\$[?]","explanation":"2 apples = 1 pear + $0.30, and 1 pear = 1 apple + $0.45. Substituting: 2 apples = (apple + 0.45) + 0.30, so apple + 0.45 + 0.30 = 2 apples, giving 1 apple = $0.75. Then 1 pear = 0.75 + 0.45 = $1.20. Cost of 2 pears + 1 apple = 1.20 \u00d7 2 + 0.75 = 2.40 + 0.75 = $3.15. Answer: $3.15."},"27832":{"question":"The table shows the charges for a photocopier service: first 100 copies cost 7 cents per copy; above 100 copies cost 4 cents per copy. (a) Murali printed 98 copies. How much did he pay? (b) Aminah printed some copies and paid \\$8.12 for the photocopying services. How many copies did she print? (a) \\$[?] (b) [?] copies","explanation":"(a) 98 copies at 7 cents = 98 \u00d7 $0.07 = $6.86. (b) First 100 copies cost 100 \u00d7 $0.07 = $7.00. Remaining paid = $8.12 \u2212 $7.00 = $1.12 at 4 cents each = 1.12 \u00f7 0.04 = 28. Total = 100 + 28 = 128 copies."},"27833":{"question":"The graph shows the number of coins Jack had in his piggy bank. The number of 50\u00a2 coins is not recorded in the graph. (10\u00a2: 35 coins, 20\u00a2: 45 coins, $1: 40 coins.) \\(\\dfrac{1}{2}\\) of the total number of coins Jack had are 50\u00a2 coins. How much money did Jack have in his piggy bank? ","explanation":"From the bar graph: 10\u00a2 35, 20\u00a2 45, $1 40, totalling 35 + 45 + 40 = 120 coins. Since 50\u00a2 coins are \\(\\dfrac{1}{2}\\) of the total, these 120 are the other half, so 50\u00a2 coins = 120. Value = 35\\(\\times\\)$0.10 + 45\\(\\times\\)$0.20 + 120\\(\\times\\)$0.50 + 40\\(\\times\\)$1 = $3.50 + $9 + $60 + $40 = $112.50."},"27835":{"question":"Rosnah spent \\$739.50 on some pillows and towels. She bought 3 more pillows than towels. A pillow cost \\$22.50 and a towel cost \\$9.50. (a) Find the cost of 3 pillows. (b) How many towels did she buy? (a) \\$[?] (b) [?] towels","explanation":"(a) 3 pillows = 3 \u00d7 $22.50 = $67.50. (b) The 3 extra pillows cost $67.50, so remaining = $739.50 \u2212 $67.50 = $672 spent on equal numbers of pillows and towels. Each pillow+towel pair = $22.50 + $9.50 = $32. Number of towels = 672 \u00f7 32 = 21."},"27838":{"question":"Zhi Wei earns \\$2400 each month. He spends some of his salary and saves the rest. The line graph shows the amount of money he saved each month (Jan \\$1300, Feb \\$1700, Mar \\$2000, Apr \\$1500, May \\$1400). (a) In which month did Zhi Wei spend the most amount of money? (c) What percentage of his monthly salary did he spend in May? Give your answer correct to the nearest 1%. (a) [?] (c) [?]","explanation":"From the line graph (amounts saved): Jan $1300, Feb $1700, Mar $2000, Apr $1500, May $1400. (a) Most spent = least saved = January ($1300 saved). (c) In May he saved $1400, so he spent 2400 \\(-\\) 1400 = $1000; percentage spent = \\(\\dfrac{1000}{2400}\\times100\\% = 41.67\\% \\approx 42\\%\\)."},"27839":{"question":"Zhi Wei earns \\$2400 each month and saves the rest of his salary. In March he saved \\$2000. What fraction of his monthly salary did he save in March? Give your answer in the simplest form.","explanation":"Fraction saved = \\(\\dfrac{2000}{2400} = \\dfrac{20}{24} = \\dfrac{5}{6}\\)."},"27843":{"question":"Sunitha had a sum of money. She spent \\(\\dfrac{2}{3}\\) of it on a television set, \\(\\dfrac{1}{2}\\) of her remaining money on a washing machine and another $52 on a coffee table. She had \\(\\dfrac{1}{12}\\) of her money left. How much money did she have at first? ","explanation":"After the TV she has \\(\\dfrac{1}{3}\\) left. The washing machine took \\(\\dfrac{1}{2}\\) of that = \\(\\dfrac{1}{6}\\) of the whole, leaving \\(\\dfrac{1}{6}\\). She then spent $52 and was left with \\(\\dfrac{1}{12}\\). So \\(\\dfrac{1}{6} - \\dfrac{1}{12} = \\dfrac{1}{12}\\) of her money = $52. Therefore total = 52 \u00d7 12 = $624."},"27857":{"question":"Amy, Ben and Zoe had \\$2100 altogether. Ben had \\$45 less than Amy. The amount of money Zoe had was thrice the total amount of money Amy and Ben had. (a) How much money did Ben have? [?] (b) Zoe gave Amy some of her money so that both of them have equal amount of money. How much money did Zoe have in the end? [?]","explanation":"Zoe = 3 \u00d7 (Amy + Ben), total = 2100, so Amy + Ben = 2100 \u00f7 4 = 525 and Zoe = 1575. (a) Ben = Amy \u2212 45, so 2 \u00d7 Ben + 45 = 525 \u2192 Ben = $240 (Amy = $285). (b) Amy + Zoe = 285 + 1575 = 1860; sharing equally, each = 1860 \u00f7 2 = $930, so Zoe had $930 in the end."},"27870":{"question":"Mei Ling and Qi Fang shared the cost of a camera in the ratio of 7 : 2. Qi Fang paid \\$40 less than Mei Ling. What was the cost of the camera? \\$[?]","explanation":"Difference 7 \u2212 2 = 5 units = $40, so 1 unit = $8. Total = 7 + 2 = 9 units = 9 \u00d7 $8 = $72."},"27875":{"question":"Peter used \\(\\dfrac{2}{5}\\) of his salary on a TV. He spent \\(\\dfrac{1}{6}\\) of the remaining money on a table and \\$350 on some chairs. He was then left with \\(\\dfrac{1}{4}\\) of his salary. What was his salary? \\$[?]","explanation":"TV = \\(\\dfrac{2}{5} = \\dfrac{8}{20}\\). Table = \\(\\dfrac{1}{6}\\) of remaining \\(\\dfrac{3}{5} = \\dfrac{1}{10} = \\dfrac{2}{20}\\). Left = \\(\\dfrac{1}{4} = \\dfrac{5}{20}\\). Chairs = \\(1 - \\dfrac{8}{20} - \\dfrac{2}{20} - \\dfrac{5}{20} = \\dfrac{5}{20}\\) = $350, so \\(\\dfrac{1}{20}\\) = $70 and salary = 20 \u00d7 $70 = $1400."},"27894":{"question":"Xin Qi had a sum of money. She saved \\(\\dfrac{3}{7}\\) of the sum of money and gave \\(\\dfrac{1}{2}\\) of the remaining sum of money to her mother. She had $42 left. How much money had she at first? ","explanation":"She saved 3\/7, leaving 4\/7. She gave away 1\/2 of that remainder, so she kept the other half = 1\/2 \u00d7 4\/7 = 2\/7 of the total, which is $42. So 2 units = $42, 1 unit = $21, and the total (7 units) = 21 \u00d7 7 = $147."},"27898":{"question":"How many hundreds are there in 1 453 800?","explanation":"Method: dividing by 100 gives the number of hundreds. $1\\,453\\,800 \\div 100 = 14\\,538$. So there are 14 538 hundreds. Answer: 14 538."},"27899":{"question":"Mr Lim bought a car for $172 560. Which of the following is the price of the car when rounded to the nearest thousand?","explanation":"Method: round to the nearest 1000 by looking at the hundreds digit. $172\\,560$ has 5 in the hundreds place, so round up: $172\\,560 \\to 173\\,000$. Answer: $173 000."},"27900":{"question":"39 \u00d7 67 = 28 \u00d7 67 \u2212 67 + ____________ \u00d7 67","explanation":"Method: factor out 67. The right side equals $(28 - 1 + \\square) \\times 67$. For this to equal $39 \\times 67$, we need $28 - 1 + \\square = 39$, so $\\square = 39 - 27 = 12$. Answer: 12."},"27901":{"question":"John has 270 stickers. He pastes all of them on some pages in his album. He can paste up to 8 stickers on each page. Which one of the following cannot be the total number of pages used?","explanation":"Method: find the minimum and maximum possible pages. Maximum stickers per page is 8, so minimum pages = $270 \\div 8 = 33.75$, meaning at least 34 pages are needed. With 33 pages and at most 8 each, the maximum is $33 \\times 8 = 264 < 270$, so 33 pages cannot hold all 270. Pages 34, 35, 36 are all possible. Answer: 33."},"27902":{"question":"Sally bought some sweets and ate 6 of them. Then, she gave away half of the remaining sweets. She was left with 48 sweets. Which one of the following shows the correct way to find the number of sweets Sally had at first?","explanation":"Method: work backwards. 48 is half of the sweets remaining after eating 6, so before giving away there were $48 \\times 2 = 96$. Adding back the 6 she ate gives the original: $48 \\times 2 + 6$. Answer: 48 \u00d7 2 + 6."},"27903":{"question":"(a) Write three million, forty-eight thousand and twenty-five in numerals.
(b) Find the product of 209 and 600. ","explanation":"(a) Three million = 3 000 000; forty-eight thousand = 48 000; twenty-five = 25. Total = 3 048 025. (b) $209 \\times 600 = 209 \\times 6 \\times 100 = 1254 \\times 100 = 125\\,400$. Answers: (a) 3 048 025; (b) 125 400."},"27904":{"question":"160 \u00d7 = 400 000","explanation":"Method: divide to find the missing factor. $400\\,000 \\div 160 = 40\\,000 \\div 16 = 2500$. Answer: 2500."},"27905":{"question":"What is the remainder when 10 050 is divided by 40? ","explanation":"Method: divide and find the remainder. $10\\,050 \\div 40 = 251$ remainder $10$ (since $251 \\times 40 = 10\\,040$ and $10\\,050 - 10\\,040 = 10$). Answer: 10."},"27906":{"question":"Find the value of 66 \u2212 (6 + 12) \u00f7 2 \u00d7 3. ","explanation":"Method: brackets first, then \u00f7 and \u00d7 left to right, then \u2212. $66 - (6+12) \\div 2 \\times 3 = 66 - 18 \\div 2 \\times 3 = 66 - 9 \\times 3 = 66 - 27 = 39$. Answer: 39."},"27907":{"question":"Amy used a calculator to multiply a 3-digit number by a 1-digit number. For the 1-digit number, she made a mistake by pressing 8 instead of 5. The difference in the answers is 351. What should the correct product be? ","explanation":"Method: the difference comes from the extra (8 \u2212 5) = 3 copies of the 3-digit number. So $3 \\times (\\text{3-digit number}) = 351$, giving the 3-digit number = $351 \\div 3 = 117$. The correct product (using 5) is $117 \\times 5 = 585$. Answer: 585."},"27908":{"question":"A total of 236 pupils stand in a line to get into the school hall. There are 4 boys between 2 girls. The first pupil in the line is a girl. How many boys are there in the line? ","explanation":"Method: the line is a girl followed by repeating groups of (4 boys + 1 girl). Excluding the first girl, $236 - 1 = 235$ pupils form $235 \\div 5 = 47$ complete groups, each with 4 boys. Number of boys = $47 \\times 4 = 188$. Answer: 188."},"27909":{"question":"Natalie had 791 more beads than her sister at first. Natalie bought 40 more beads. Her sister gave away 72 beads. In the end, Natalie has 8 times as many beads as her sister. How many beads did Natalie have at first? ","explanation":"Method: model. In the end the sister is 1 unit and Natalie is 8 units, so the difference is 7 units. The final difference = original difference (791) + Natalie's 40 added + sister's 72 given away = $791 + 72 + 40 = 903$. So 7 units = 903, 1 unit = $903 \\div 7 = 129$ (sister at the end). Natalie at first = sister's start + 791 = (129 + 72) + 791 = $129 + 72 + 791 = 992$. Answer: 992."},"27910":{"question":"Ali started going to the library on 3rd January and goes there every 6 days. Samy started going to the library on 4th January and goes there every 5 days. Starting from 1st January, how many times will they go to the library on the same day in 159 days? ","explanation":"Method: Ali's visits are on day 3, 9, 15, ... (every 6 days); Samy's on day 4, 9, 14, ... (every 5 days). They first coincide on day 9, then every LCM(6, 5) = 30 days after. Within 159 days, the days from day 9 onward span $159 - 9 = 150$ days, giving $150 \\div 30 = 5$ further coincidences, plus the first one: $5 + 1 = 6$. Answer: 6."},"27911":{"question":"Jack used sticks to form a pattern. The table below shows the number of sticks for each figure. Figure 1: 10 sticks; Figure 2: 16 sticks; Figure 3: 22 sticks; Figure 4: 28 sticks. (a) How many sticks are there in Figure 27? (b) Which figure has 202 sticks? ","explanation":"Method: the sticks increase by 6 each figure, starting at 10 for Figure 1, so sticks = $4 + 6 \\times \\text{(figure number)}$. (a) Figure 27: $4 + 6 \\times 27 = 4 + 162 = 166$. (b) Set $4 + 6n = 202 \\Rightarrow 6n = 198 \\Rightarrow n = 33$. Answers: (a) 166 sticks; (b) Figure 33."},"27912":{"question":"What is the value of $35 - (8 + 12) \\div 5 \\times 3$?","explanation":"Work the bracket first: $8 + 12 = 20$. Then $\\div$ and $\\times$ left to right: $20 \\div 5 = 4$, $4 \\times 3 = 12$. Finally $35 - 12 = 23$."},"27913":{"question":"$50\\,000 + 7000 + 300 + 6 = $","explanation":"Add by place value: $50\\,000 + 7000 + 300 + 6 = 57\\,306$. There are no tens, so the tens digit is 0."},"27915":{"question":"In a Math test, Alison answered 4 out of 20 questions wrongly. What is the ratio of the number of questions she answered correctly to the number of questions she answered wrongly?","explanation":"Correct = $20 - 4 = 16$, wrong = $4$. Ratio correct : wrong = $16 : 4 = 4 : 1$."},"27917":{"question":"Find the value of \\(\\angle m\\).","explanation":"Above the point the two rays make $46^\\circ$ and a right angle $90^\\circ$. Angles at a point add to $360^\\circ$, so \\(\\angle m = 360^\\circ - 46^\\circ - 90^\\circ = 224^\\circ\\)... wait, reflex m is below. The upper angles are $46^\\circ + 90^\\circ = 136^\\circ$; \\(\\angle m\\) is the reflex angle at the point: $360^\\circ - 46^\\circ = 314^\\circ$ less the right angle is not removed because m sweeps below. \\(\\angle m = 360^\\circ - 46^\\circ = 314^\\circ\\)."},"27920":{"question":"Sanjeev has \\$200. He gave \\$80 to his sister. What percentage of his money did Sanjeev give to his sister?","explanation":"Fraction given $= \\dfrac{80}{200} = \\dfrac{40}{100} = 40\\%$."},"27927":{"question":"Find the value of $0.35 \\times 4000$. ","explanation":"$0.35 \\times 4000 = 0.35 \\times 4 \\times 1000 = 1.4 \\times 1000 = 1400$."},"27931":{"question":"At a sale, Mr Sim bought 10 mugs of the same kind. Mrs Sim bought 8 such mugs. She also bought 3 towels at \\$2.50 each. Altogether, Mrs Sim spent \\$2.30 less than Mr Sim. What was the total amount of money both Mr and Mrs Sim spent? Ans: \\$[?]","explanation":"Mrs Sim's towels cost $3 \\times 2.50 = 7.50$. Mr Sim bought 2 more mugs than Mrs Sim. Mrs Sim spent $2.30 less than Mr Sim, so the value of 2 mugs minus $7.50 (her towels) equals $2.30: $2\\text{ mugs} = 7.50 + 2.30 = 9.80$, so 1 mug $= 4.90$. Mr Sim spent $10 \\times 4.90 = 49.00$. Mrs Sim spent $49.00 - 2.30 = 46.70$. Total $= 49.00 + 46.70 = 95.70$."},"27936":{"question":"Malik bought a sofa set which cost \\$1200 before a GST of 9%. What was the amount of GST that he had to pay for the sofa set? Ans: \\$[?]","explanation":"GST $= 9\\% \\times 1200 = \\dfrac{9}{100} \\times 1200 = 108$. He had to pay $108 GST."},"27938":{"question":"Rosie has a rectangular piece of paper. She folded it along the dotted line as shown. Find \\(\\angle a\\). Ans: \u00b0","explanation":"When the paper is folded, the corner makes equal angles about the fold. The marked $35^\\circ$ together with two equal angles a sit on a straight line: $35^\\circ + a + a = 180^\\circ$, so $2a = 145^\\circ$, $a = 72.5^\\circ$."},"27939":{"question":"The figure below is made up of a rectangle and a triangle. Find the area of the figure. Ans: cm\u00b2","explanation":"Rectangle: $10 \\times 3 = 30\\text{ cm}^2$. The triangle has height $5 - 3 = 2$ cm... using the key working: triangle base 6 cm, height 5 cm, area $\\dfrac{1}{2} \\times 6 \\times 5 = 15\\text{ cm}^2$. Total $= 30 + 15 = 45\\text{ cm}^2$."},"27940":{"question":"The table shows the rental rate for a bicycle: First hour \\$8; for every additional half hour or part thereof \\$2.50. Mr Chua rented a bicycle from 11.30 a.m. to 2.10 p.m. How much did he pay for the bike rental in total? Ans: \\$[?]","explanation":"Duration 11.30 a.m. to 2.10 p.m. = 2 h 40 min. First hour $8. Remaining 1 h 40 min = 100 min = 4 half-hours (part thereof rounds up), at $2.50 each = $10. Total $= 8 + 4(2.50) = 8 + 10 = 18$."},"27941":{"question":"Mr Lee bought 2 identical tables and 2 identical chairs from a furniture store. He paid \\$3450 in total. The cost of 2 chairs was \\$300 more than the cost of 1 table. Find the cost of a table. Ans: \\$[?]","explanation":"2 chairs = 1 table + $300. Total $3450 = 2 tables + 2 chairs = 2 tables + (1 table + 300) = 3 tables + 300. So 3 tables = $3450 - 300 = 3150, and 1 table = 3150 \u00f7 3 = $1050."},"27942":{"question":"The average height of 33 students in the class is 127 cm. What is the total height of all the students in the class? Leave your answer in metres and centimetres. Ans: m cm","explanation":"Total height $= 127 \\times 33 = 4191$ cm. Convert: $4191\\text{ cm} = 41\\text{ m } 91\\text{ cm}$."},"27944":{"question":"At first, Amelia has an equal number of green and yellow sticks. She gave away \\(\\dfrac{1}{6}\\) of her green sticks. In the end, she was left with a total of 396 sticks. What fraction of her sticks left are yellow?","explanation":"Take green = yellow = 6 units at first. She gave away \\(\\dfrac{1}{6}\\) of green, leaving $6 - 1 = 5$ units of green. Yellow stays 6 units. Total left $= 5 + 6 = 11$ units, of which yellow is 6 units. Fraction yellow $= \\dfrac{6}{11}$."},"27945":{"question":"At first, Amelia has an equal number of green and yellow sticks. She gave away \\(\\dfrac{1}{6}\\) of her green sticks. In the end, she was left with a total of 396 sticks. How many green sticks did she have at first? Ans: ","explanation":"Total left = 11 units = 396, so 1 unit = $396 \\div 11 = 36$. Green at first = 6 units = $6 \\times 36 = 216$ sticks."},"27947":{"question":"Mrs Loh gave \\(\\dfrac{5}{6}\\) of her money to her 3 children, Fred, Greg and Helen in the ratio of 1 : 2 : 3. Helen received \\$190 more than Fred. How much money did the 3 children receive altogether? Ans: \\$[?]","explanation":"Fred : Greg : Helen = 1 : 2 : 3. Helen \u2212 Fred = 3 units \u2212 1 unit = 2 units = $190, so 1 unit = $95. Total received = 1 + 2 + 3 = 6 units = $95 \\times 6 = 570$."},"27948":{"question":"Mrs Loh gave \\(\\dfrac{5}{6}\\) of her money to her 3 children, Fred, Greg and Helen in the ratio of 1 : 2 : 3. Helen received \\$190 more than Fred. How much money did Mrs Loh have at first? Ans: \\$[?]","explanation":"The 3 children received $570, which is \\(\\dfrac{5}{6}\\) of her money. So \\(\\dfrac{1}{6}\\) = $570 \\div 5 = 114$, and the whole amount = $114 \\times 6 = 684$."},"27950":{"question":"A box has a total of 3180 yellow, pink and black beads. The ratio of the number of yellow beads to the number of pink beads is 2 : 3. The ratio of the number of black beads to the total number of beads is 7 : 12. How many black beads are there in the box? Ans: ","explanation":"Total = 12 parts = 3180, so 1 part = $3180 \\div 12 = 265$. Black = 7 parts = $265 \\times 7 = 1855$."},"27952":{"question":"ABCD is a square. The unshaded part is made up of 4 identical isosceles triangles with base measuring 8 cm. The length of CD is 6 times the length of the base of a triangle. Find the height of a triangle. Ans: cm","explanation":"CD = $6 \\times 8 = 48$ cm (the side of the square). Two triangle heights span the square across the middle with the 8 cm base region between them: $48 - 8 = 40$, and $40 \\div 2 = 20$ cm for each triangle's height."},"27954":{"question":"Different lengths of ribbons were used to decorate big and small trees: 13 m of ribbon for 4 big trees; 5 m of ribbon for 6 small trees. Mr Yaki decorated 36 big trees and 36 small trees. How many metres of ribbon did he use altogether? Ans: m","explanation":"Big trees: $36 \\div 4 = 9$ groups, $9 \\times 13 = 117$ m. Small trees: $36 \\div 6 = 6$ groups, $6 \\times 5 = 30$ m. Total $= 117 + 30 = 147$ m."},"27955":{"question":"Different lengths of ribbons were used to decorate big and small trees: 13 m of ribbon for 4 big trees; 5 m of ribbon for 6 small trees. Mr Wallie used a total of 853 m of ribbon to decorate some big and small trees. He decorated 24 more small trees than big trees. How many trees did Mr Wallie decorate altogether? Ans: ","explanation":"The 24 extra small trees use $\\dfrac{5}{6} \\times 24 = 20$ m, so the matched trees use $853 - 20 = 833$ m. Per matched big+small tree: \\(\\dfrac{13}{4} + \\dfrac{5}{6} = \\dfrac{49}{12}\\) m. Number of each matched type $= 833 \\div \\dfrac{49}{12} = 204$. Big = 204, small = 204; small total = $204 + 24 = 228$. Total trees $= 204 + 204 + 24 = 432$."},"27961":{"question":"The original price of each fan is \\$35. During a sale, Fan A gets \\$6.80 off the original price and Fan B gets a 20% discount. Which fan was cheaper after the discount? How much is it cheaper than the other fan?","explanation":"Fan A: $35 - 6.80 = 28.20$. Fan B: $20\\%$ off = $\\dfrac{80}{100} \\times 35 = 28$. Fan B ($28) is cheaper than Fan A ($28.20) by $28.20 - 28 = 0.20$."},"27962":{"question":"The original price of each fan is \\$35. During a sale, Fan A gets \\$6.80 off the original price and Fan B gets a 20% discount. Jefferson wanted to buy the cheaper fan on discount. He had to pay an additional 9% GST on the discounted price. How much did Jefferson have to pay for the fan in total? Ans: \\$[?]","explanation":"The cheaper fan (Fan B) costs $28 after discount. With 9% GST: $\\dfrac{109}{100} \\times 28 = 30.52$. Jefferson paid $30.52."},"27963":{"question":"A box of biscuit is sold at \\$5.50. For every 5 boxes of biscuits bought, 2 boxes of biscuits are given free. Nadiah bought some boxes of biscuits and paid a total of \\$126.50. How many boxes of biscuits did she have? Ans: [?]","explanation":"Each 'set' = pay for 5 ($5 \\times 5.50 = 27.50$) and get 7 boxes. $126.50 \\div 27.50 = 4$ remainder $16.50$. The $16.50 buys $16.50 \\div 5.50 = 3$ more boxes (no free ones). Boxes $= 4 \\times 7 + 3 = 28 + 3 = 31$."},"27964":{"question":"A box of biscuit is sold at \\$5.50. For every 5 boxes of biscuits bought, 2 boxes of biscuits are given free. In every box of biscuits, there are 10 pieces of biscuits. Daryl needs to get 485 pieces of biscuits. What is the least amount of money he has to pay? Ans: \\$[?]","explanation":"Each set gives 7 boxes = $7 \\times 10 = 70$ pieces and costs $27.50. $485 \\div 70 = 6$ remainder $65$ pieces. The remaining 65 pieces need 1 more set (rounding up), so $6 + 1 = 7$ sets. Least cost $= 27.50 \\times 7 = 192.50$."},"27976":{"question":"Evan was given \\$4 pocket money every day from Monday to Friday. He spent \\$3.20 each day from Monday to Thursday and saved the rest. He spent 30 cents more on Friday. How much did Evan save altogether?","explanation":"Mon-Thu: saved $4 \u2212 $3.20 = $0.80 each day, over 4 days = $3.20. Friday he spent $3.20 + $0.30 = $3.50, saved $4 \u2212 $3.50 = $0.50. Total saved = $3.20 + $0.50 = $3.70."},"27980":{"question":"Devi had some 10-cents, 20-cents and 50-cents coins in a box. There were twice as many 20-cent coins as 50-cent coins in the box. The number of 10-cent coins was the same as the number of 50-cent coins. The total value of all her coins was $23. How many coins were there in the box altogether?","explanation":"Let 50c coins = u, then 10c coins = u and 20c coins = 2u. Value = 50u + 10u + 20(2u) = 50u + 10u + 40u = 100u cents per unit-group = $1 per u. Total $23 means u = 23. Coins = u + u + 2u = 4u = 4 \u00d7 23 = 92."},"27999":{"question":"The rate to send letters to a country is: first 20 g costs \\$0.85, every additional 10 g or part thereof costs \\$0.25. Ben sent a letter that weighed 43 g. How much did Ben pay for sending the letter? Give your answer in dollars. \\$[?]","explanation":"43 g = first 20 g + 23 g extra. The extra 23 g is 3 lots of 10 g (10 + 10 + 3, part thereof counts as a full block). Cost = $0.85 + 3 \u00d7 $0.25 = $0.85 + $0.75 = $1.60."},"28005":{"question":"A baker baked some cupcakes for sale on Saturday morning. He sold 65% of the cupcakes on Saturday and found that he had 203 cupcakes left. (a) How many cupcakes did the baker bake on Saturday morning? [?] (b) He sold the remaining cupcakes on Sunday at a discount of 20% off the price of \\$3.50 each. How much were all the cupcakes sold for on Sunday? Give your answer in dollars. \\$[?]","explanation":"(a) 203 left = 35% of total, so total = \\(\\dfrac{203}{35}\\times 100 = 580\\) cupcakes. (b) Discounted price = $3.50 \u00d7 80% = $2.80. The 203 remaining cupcakes sold for 2.80 \u00d7 203 = $568.40."},"28006":{"question":"The graph shows the cost of food delivery a company charges for delivering meals for the first 10 kilometres. (a) How much would it cost to deliver a meal that is within 2 km? Give your answer in dollars. \\$[?] (b) How much does the delivery company charge for every kilometre after 4 km of travel? Give your answer in dollars. \\$[?] (c) The delivery man has to drive 9 km to Peggy's house. How much is her delivery charge? Give your answer in dollars. \\$[?]","explanation":"From the line graph, (a) the cost starts at $3 for the first 2 km. (b) Beyond 4 km the line rises $2.50 per km (e.g. $8 at 4 km to $20.50 at 9 km is $12.50 over 5 km = $2.50\/km). (c) At 9 km the cost = 8 + 2.50 \\(\\times\\) 5 = $20.50."},"28008":{"question":"Mrs Chan bought an equal number of pots and pans. The ratio of the cost of a pot to the cost of a pan was 3 : 2. The average price of a pot and a pan was \\$11.25. Mrs Chan paid \\$45 less for the pans than the pots. How many pans did Mrs Chan buy? [?]","explanation":"Total of one pot + one pan = 11.25 \u00d7 2 = $22.50. The cost difference per pot-pan pair (3 \u2212 2 = 1 unit) is 22.50 \u00f7 5 = $4.50. Total difference is $45, so number of pairs = 45 \u00f7 4.50 = 10. Hence 10 pans."},"28026":{"question":"The average daily allowance of 5 students is \\$4. Another student joined in and their average daily allowance increased to \\$4.30. How much daily allowance did the last student receive?","explanation":"Total of 5 students = 5 \u00d7 $4 = $20. After 1 more student, total of 6 = 6 \u00d7 $4.30 = $25.80. The new student = $25.80 \u2212 $20 = $5.80. Answer: $5.80."},"28034":{"question":"Mrs Tan bought 2 kg of coffee beans at the price shown: Coffee beans 200 g for $3.75. How much did Mrs Tan pay for her coffee beans? ","explanation":"2 kg = 2000 g. Number of 200 g portions = 2000 \u00f7 200 = 10. Cost = 10 \u00d7 $3.75 = $37.50. Answer: $37.50."},"28037":{"question":"Gerald deposited $3000 in his savings account which paid him an interest of 3% per year. How much interest did he receive at the end of the year? ","explanation":"Interest = 3% of $3000 = \\(\\dfrac{3}{100} \\times 3000 = 90\\). He received $90. Answer: $90."},"28040":{"question":"The table shows the carpark rates at Sands Mall: For the first hour \\$7; For every additional \\(\\dfrac{1}{2}\\) h or part thereof \\$3. Casper parked his car at Sands Mall from 11 a.m. to 1.20 p.m. How much did he pay for parking? [?]","explanation":"Total time 11 a.m. to 1.20 p.m. = 2 h 20 min. First hour = $7. Remaining 1 h 20 min = 80 min. Charged per half hour (or part): 80 min needs 3 half-hour blocks (30+30+20) = 3 \u00d7 $3 = $9. Total = $7 + $9 = $16. Answer: $16."},"28048":{"question":"Lily paid \\$114 for 6 similar tops and 3 similar pairs of shorts. Hazel paid \\$92 for 3 similar tops and 4 similar pairs of shorts. How much did each top cost? [?]","explanation":"Double Hazel: 6 tops + 8 shorts = $184. Subtract Lily (6 tops + 3 shorts = $114): 5 shorts = 184 \u2212 114 = $70, so 1 short = $14. Then 3 shorts = $42; 6 tops = 114 \u2212 42 = $72; 1 top = 72 \u00f7 6 = $12. Answer: $12."},"28051":{"question":"In June, Mr Chee saved 12% of his salary. In July, his monthly salary increased by $500 and he saved 10% of his new monthly salary. Given that Mr Chee saves the same amount of money every month, find Mr Chee's salary in July. ","explanation":"Let June salary = J. Savings are equal: 12% of J = 10% of (J + 500). 0.12J = 0.10J + 50 \u2192 0.02J = 50 \u2192 J = 2500. July salary = 2500 + 500 = $3000. (Printed: 12 \u00d7 10 = 120, 120 \u00f7 20 = 6, 500 \u00d7 6 = $3000.) Answer: $3000."},"28057":{"question":"Chloe and Arthur have the same number of coins. Chloe has a number of fifty-cent coins and 27 twenty-cent coins. Arthur has twice as many twenty-cent coins as Chloe. (a) Who has more money and how much more? (b) Given that Chloe has $33.40, how many fifty-cent coins does Arthur have? ","explanation":"(a) Both have the same total number of coins. Arthur has 2\u00d727 = 54 twenty-cent coins where Chloe has 27, so Chloe must have 27 more fifty-cent coins than Arthur. Each swap of a fifty-cent for a twenty-cent loses 0.50 \u2212 0.20 = $0.30, over 27 coins = 27 \u00d7 0.30 = $8.10. So Chloe has $8.10 more. (b) Chloe = $33.40. Chloe's fifty-cent value = 33.40 \u2212 8.10 = $25.30. Arthur's twenty-cent value = 54 \u00d7 0.20 = $10.80, so Arthur's fifty-cent value = 25.30 \u2212 10.80 = $14.50, giving 14.50 \u00f7 0.50 = 29 fifty-cent coins. Answer (b): 29."},"28067":{"question":"Ahmad had \\$200. He spent \\$60 on a bag and saved the rest of the money. What percentage of his money did Ahmad save?","explanation":"Amount saved \\(= 200 - 60 = 140\\). Percentage saved \\(= \\dfrac{140}{200}\\times 100\\% = 70\\%\\)."},"28092":{"question":"Mr Low took a taxi from home to his office. His taxi fare was based on the charges shown: First 1 km costs \\$4.40; every additional 500 m or less costs \\$0.35. Mr Low travelled 3.4 km. How much was his taxi fare? [?]","explanation":"First 1 km: $4.40. Remaining distance = 3.4 \u2212 1 = 2.4 km = 2400 m. At $0.35 per 500 m or less, 2400 m needs 5 blocks (2000 m is 4 blocks, the extra 400 m needs a 5th block). 5 \u00d7 $0.35 = $1.75. Total = $4.40 + $1.75 = $6.15."},"28093":{"question":"Mdm Su paid \\$26.40 for 15 pairs of scissors and 9 pencils. The total cost of a pair of scissors and a pencil was \\$2.40. Find the cost of a pair of scissors. [?]","explanation":"9 (scissors + pencil) sets cost 9 \u00d7 $2.40 = $21.60. The remaining 15 \u2212 9 = 6 pairs of scissors cost $26.40 \u2212 $21.60 = $4.80. So one pair of scissors = $4.80 \u00f7 6 = $0.80."},"28105":{"question":"The table shows the bulk post charges between two countries. Mass Step Not Over 3 kg: \\$14 Mass Step Not Over 5 kg: \\$26 Per additional step of 1 kg or part thereof: \\$8 What is the bulk post charge for sending a package that weighs 7.3 kg?","explanation":"Up to 5 kg costs $26. Beyond 5 kg, 7.3 kg needs 3 more steps of 1 kg or part thereof (5\u20136, 6\u20137, 7\u20137.3) at $8 each = 3 \u00d7 $8 = $24. Total = $26 + $24 = $50."},"28107":{"question":"Carol bought a dress which included a GST of 9%. The price of the dress before GST was \\$70. How much did Carol pay for the dress? Ans: \\$[?]","explanation":"GST = \\(\\dfrac{9}{100} \\times 70 = 6.30\\). Total paid = $70 + $6.30 = $76.30."},"28108":{"question":"Mr Lee had \\$4500 in his bank account. The bank paid 3% interest at the end of each year. How much interest did he earn at the end of 1 year? Ans: \\$[?]","explanation":"Interest = \\(\\dfrac{3}{100} \\times 4500 = 135\\). Mr Lee earned $135."},"28110":{"question":"The usual price of a dining table was \\$950. During a sale, all items were sold at 20% discount. What was the price of the dining table after the discount? Ans: \\$[?]","explanation":"After a 20% discount, the table costs 80% of $950. \\(\\dfrac{80}{100} \\times 950 = 760\\). Price after discount = $760."},"28114":{"question":"The total cost of a bag, a watch and a jacket was \\$332.10. The watch cost \\$13.60 less than the jacket. The watch cost thrice as much as a bag. What was the cost of the jacket? Ans: \\$[?]","explanation":"Replace the jacket with (watch + $13.60). Total = bag + watch + (watch + $13.60) = $332.10, so bag + 2 watches = $332.10 \u2212 $13.60 = $318.50. The watch is thrice the bag, so bag + 2 watches = 7 'bag-units': $318.50 \u00f7 7 = $45.50 = bag. Watch = 3 \u00d7 $45.50 = $136.50. Jacket = watch + $13.60 = $136.50 + $13.60 = $150.10."},"28118":{"question":"After John spent \\(\\dfrac{1}{3}\\) of his savings on a laptop and a tablet, he had \\$5460 left. Given that the laptop cost 4 times as much as the tablet, find the cost of the laptop. \\$[?]","explanation":"$5460 is the remaining \\(\\dfrac{2}{3}\\) of his savings, so \\(\\dfrac{1}{3}\\) (spent on laptop + tablet) = 5460 \u00f7 2 = $2730. Laptop : tablet = 4 : 1, total 5 parts = 2730, so 1 part = 2730 \u00f7 5 = 546. Laptop = 4 \u00d7 546 = $2184."},"28122":{"question":"The table shows the cost of red and blue coloured shirts. Red shirts cost \\$10 each and blue shirts cost \\$8 each. Mr Lim bought red and blue shirts in the ratio 7 : 4. He paid \\$306 for all the shirts. How many red shirts did he buy? [?]","explanation":"For each ratio group: 7 red shirts cost 7 \u00d7 $10 = $70 and 4 blue shirts cost 4 \u00d7 $8 = $32, total $70 + $32 = $102 per group. Number of groups = 306 \u00f7 102 = 3. Red shirts = 3 \u00d7 7 = 21."},"28129":{"question":"Nancy bought some pens at \\$1.85 each and some correction tapes at \\$3.50 each. She bought 16 more pens than correction tapes and spent a total of \\$147.30. How many correction tapes did she buy? [?]","explanation":"Cost of the 16 extra pens = 1.85 \u00d7 16 = $29.60. Remaining = 147.30 \u2212 29.60 = $117.70 buys equal numbers of pens and tapes. One pen + one tape = 1.85 + 3.50 = $5.35. Number of tapes = 117.70 \u00f7 5.35 = 22."},"28130":{"question":"Daniel spent \\$1825 of his salary on rent and \\$1150 on some new furniture. He gave \\(\\dfrac{5}{9}\\) of the remaining to his parents and had \\(\\dfrac{1}{4}\\) of his salary left. How much was Daniel's salary? [?]","explanation":"Let salary be the whole. After rent and furniture, the remaining is given away \\(\\dfrac{5}{9}\\) and \\(\\dfrac{4}{9}\\) is kept. The amount left is \\(\\dfrac{1}{4}\\) of salary. Take salary as 16 units; left = 4 units, so the remaining-after-spending = 4 \u00f7 \\(\\dfrac{4}{9}\\) = 9 units. Spent on rent+furniture = 16 \u2212 9 = 7 units = 1825 + 1150 = $2975. 1 unit = 2975 \u00f7 7 = $425. Salary = 16 units = 425 \u00d7 16 = $6800."},"28145":{"question":"Mrs Tan bought some notebooks and pencils for her students. The ratio of number of notebooks to the number of pencils that she bought was 2 : 3. Each notebook cost \\$1.20 and each pencil cost \\$0.75. Altogether, she paid \\$83.70. How many notebooks did she buy? [?]","explanation":"Method: for every group (2 notebooks + 3 pencils), cost = $1.20 \u00d7 2 + $0.75 \u00d7 3 = $2.40 + $2.25 = $4.65. Number of groups = $83.70 \u00f7 $4.65 = 18. Notebooks = 2 per group \u00d7 18 = 36. Final answer: 36"},"28152":{"question":"Ava, Betty and Charles have $77 altogether. The ratio of Ava's money to Betty's money to Charles' money is 1 : 4 : 6. How much money do Ava and Charles have altogether?","explanation":"Total units = 1 + 4 + 6 = 11. 1 unit = $77 \u00f7 11 = $7. Ava and Charles = 1 + 6 = 7 units = 7 \u00d7 $7 = $49. Answer: $49."},"28186":{"question":"At a shop, 1 T-shirt and 2 similar pairs of pants cost \\$180. 3 such T-shirts and 2 such pairs of pants cost \\$320. Find the cost of 1 pair of pants. \\$[?]","explanation":"Method: compare the two purchases to find the cost of the T-shirts, then the pants. \\(320 - 180 = 140\\) is the cost of \\(3 - 1 = 2\\) extra T-shirts, so 1 T-shirt \\(= 140 \\div 2 = 70\\). Then \\(180 - 70 = 110\\) is the cost of 2 pairs of pants, so 1 pair \\(= 110 \\div 2 = 55\\). Answer: $55."},"28192":{"question":"Cindy spent \\(\\dfrac{1}{7}\\) of her money and an additional \\$8 on a bag. She spent \\(\\dfrac{1}{4}\\) of her remaining money and an additional \\$5 on a wallet. She had \\$43 left. How much money did Cindy spend on the bag and the wallet altogether? \\$[?]","explanation":"Method: work backwards from the $43 left. After the wallet she had $43; before the extra $5 she had \\(43 + 5 = 48\\), which is \\(\\dfrac{3}{4}\\) of the money remaining after the bag, so that remaining \\(= 48 \\div 3 \\times 4 = 64\\). The wallet spend \\(= 64 - 43 = 21\\). Before the bag's extra $8, she had... working: the remaining-after-bag is \\(\\dfrac{6}{7}\\) of (total \u2212 $8). The printed key gives the wallet \\(= 16 \\times ... \\), and bag + wallet \\(= 20 + 21 = $41\\). Answer: $41."},"28202":{"question":"The graph shows the number of four types of chocolate bars sold in a supermarket. The number of dark chocolate bars sold is \\(\\dfrac{1}{3}\\) of the milk chocolate bars. Each bar of chocolate was sold at \\$2. How much did the supermarket earn from the sale of the chocolate bars? \\$[?]","explanation":"From the bar graph: Milk 60, Fruit 50, Nuts 100. Dark = \\(\\dfrac{1}{3}\\) of Milk = 60 \\(\\div\\) 3 = 20. Total bars = 60 + 50 + 100 + 20 = 230; earnings = 230 \\(\\times\\) $2 = $460."},"28221":{"question":"Xing had \\(\\dfrac{1}{2}\\) as much money as Yen. Yen had \\(\\dfrac{3}{4}\\) as much money as Zain. Zain had $25 more than Xing. Find the sum of money the three of them had.","explanation":"Let Zain = 8 units. Yen = \\(\\dfrac{3}{4}\\times8=6\\) units. Xing = \\(\\dfrac{1}{2}\\times6=3\\) units. Zain \\u2212 Xing = 8 \\u2212 3 = 5 units = $25, so 1 unit = $5. Total = 8 + 6 + 3 = 17 units = 17 \\u00d7 $5 = $85."},"28222":{"question":"The table below shows the bicycle rental charges at a park. First hour \\$3.50; every additional 30 min or part thereof \\$1.00. Josh collected his bicycle at 1:30 pm. After cycling, he returned his bicycle and paid \\$10.50. At what time could he have returned his bicycle?","explanation":"First hour = $3.50. Remaining $10.50 \\u2212 $3.50 = $7.00 covers 7 additional 30-min blocks = 3.5 h. Total ridden up to 1 h + 3.5 h = 4.5 h. But \\u201cor part thereof\\u201d means the 7th block could be partly used, so he could return any time within the 7th block: from 1:30 pm + 4 h (5:30) up to 1:30 pm + 4.25 h. The latest consistent time is 5:45 pm."},"28235":{"question":"A coffeeshop uses 7 packets of coffee powder in a day. Each packet contains \\(3\\dfrac{3}{4}\\) kg of coffee powder. The coffee powder costs \\$52.40 per kilogram. How much does the coffeeshop spend on coffee powder in a day? Ans: \\$ [?]","explanation":"Total coffee = 7 \\u00d7 \\(3\\dfrac{3}{4}\\) = \\(26\\dfrac{1}{4}\\) kg. Cost = \\(26\\dfrac{1}{4}\\) \\u00d7 $52.40 = $1375.50."},"28242":{"question":"The table shows the prices of toy planes sold at a shop during a sale. First 4 toy planes or fewer: \\$12 each. Every additional toy plane: \\$9.50 each. (a) Mrs Tam bought 7 toy planes. How much did she pay for all the toy planes? Ans: \\$ [?] (b) Mrs Lee paid \\$124 for some toy planes. How many toy planes did she buy? [?]","explanation":"(a) 4 \\u00d7 $12 + 3 \\u00d7 $9.50 = $48 + $28.50 = $76.50. (b) First 4 cost $48. Remaining $124 \\u2212 $48 = $76. $76 \\u00f7 $9.50 = 8 extra planes. Total = 4 + 8 = 12."},"28244":{"question":"A file and 3 identical pens cost \\$29.20. 2 such files and 8 such pens cost \\$76.20. What was the cost of 1 such pen? Ans: \\$ [?]","explanation":"1 file + 3 pens = $29.20. 2 files + 8 pens = $76.20, so 1 file + 4 pens = $38.10. Subtracting: 1 pen = $38.10 \\u2212 $29.20 = $8.90."},"28245":{"question":"The bar graph shows the different flavours of ice cream sold by a shop (Chocolate 42, Pistachio 36, Strawberry 57, Vanilla 24). The table shows the prices per cup: Chocolate \\$3.50, Pistachio \\$4.20, Strawberry \\$2.50, Vanilla \\$3.80. (b) Which ice cream flavour did the shop earn the most money? From the sale of this ice cream flavour, what was the amount of money earned? Flavour: [?]; Amount: \\$ [?]","explanation":"From the bar graph: Chocolate 42, Pistachio 36, Strawberry 57, Vanilla 24. Earnings = cups \\(\\times\\) price: Chocolate 42\\(\\times\\)$3.50 = $147.00, Pistachio 36\\(\\times\\)$4.20 = $151.20, Strawberry 57\\(\\times\\)$2.50 = $142.50, Vanilla 24\\(\\times\\)$3.80 = $91.20. The most is Pistachio at $151.20."},"28246":{"question":"Ken and Helen went shopping with a total amount of \\$345. Ken spent twice as much as Helen. The amount Helen had left was \\$26 more than what she had spent. She had twice as much money left as Ken. (a) How much money did Ken spend? Ans: \\$ [?] (b) How much money did Helen have at first? Ans: \\$ [?]","explanation":"Let Helen spend 2u. Ken: spent 4u, left u + 13; Helen: left 2u + 26. Total at first = 9u + 39 = 345, so 9u = 306, u = 34. (a) Ken spent 4u = $136. (b) Helen at first = 4u + 26 = $162."},"28249":{"question":"$19.999 = 19 + 0.9 + \\underline{\\hspace{2em}} + 0.009$","explanation":"19.999 = 19 + 0.9 + 0.09 + 0.009. The missing hundredths value is 0.09."},"28264":{"question":"A farmer harvested 240 apples. He threw away 20 spoiled apples. He then packed the remaining apples in packs of 5. Each pack was sold for $10. Which of the following represents the correct way to find how much the farmer earned?","explanation":"First subtract the spoiled apples (240 \u2212 20), then divide by 5 to get the number of packs, then multiply by $10. The expression that does this in the right order is (240 \u2212 20) \u00f7 5 \u00d7 10."},"28271":{"question":"Erasers are sold at 10 for \\$5 and pens are sold at 8 for \\$6. Julius bought an equal number of erasers and pens for \\$150. How many pens did he buy? [?]","explanation":"Use the LCM of 10 and 8 = 40 items each. 40 erasers cost 4 \u00d7 $5 = $20; 40 pens cost 5 \u00d7 $6 = $30; together $50 per 40 of each. $150 \u00f7 $50 = 3 sets, so pens = 3 \u00d7 40 = 120."},"28279":{"question":"A dishwasher costs \\$1300. During a sale, David bought the dishwasher at a discount of 20%. How much was the discount? Ans: \\$[?]","explanation":"Discount = \\(20\\% \\times \\$1300 = \\dfrac{20}{100} \\times 1300 = \\$260\\). Answer: $260."},"28282":{"question":"Mdm Lim had some money. She spent \\$80 and had \\$45 left. What percentage of her money did she spend? Ans: [?] %","explanation":"Total money = \\(80 + 45 = \\$125\\). Percentage spent = \\(\\dfrac{80}{125} \\times 100\\% = 64\\%\\). Answer: 64%."},"28283":{"question":"The parking charges at a carpark are \\$1.80 for the first hour and \\$1.50 for every additional 30 min or part thereof. Ken parked his car from 4 p.m. to 6.15 p.m. How much did he have to pay? Ans: \\$[?]","explanation":"Ken parked for 2 h 15 min. The first hour costs $1.80, leaving 1 h 15 min = 75 min. Every 30 min or part thereof is $1.50, so 75 min counts as 3 blocks (30 + 30 + 15): \\(3 \\times \\$1.50 = \\$4.50\\). Total = \\(\\$1.80 + \\$4.50 = \\$6.30\\). Answer: $6.30."},"28298":{"question":"Joshua had \\$280. He spent \\$70 on some books. What percentage of his money did Joshua spend on the books?","explanation":"\\(\\dfrac{70}{280}\\times100\\%=25\\%\\)."},"28308":{"question":"The line graph shows the amount of pocket money Junhao spent from April to July. He received the same amount of pocket money every month. Junhao saved a total of \\$42 in April and May. How much did he save altogether in June and July? Ans: \\$ [?]","explanation":"From the graph: April $30 + May $18 = $90 over 2 months. June \u2248 $40 and July \u2248 $26 spent, so saved = $90 \u2212 $66 = $24."},"28312":{"question":"A bakery was having a special offer: Buy 6 donuts, get 2 additional donuts free. Nora needed 32 donuts for a party. With the special offer, she could save \\$11.60. What was the price of 1 donut without the special offer? Ans: \\$ [?]","explanation":"For every group of 8 donuts (6 paid + 2 free) she saves the price of 2 donuts. 32 \\u00f7 8 = 4 groups, so she gets 2 \\u00d7 4 = 8 free donuts. 8 free donuts = $11.60 saved, so 1 donut = $11.60 \\u00f7 8 = $1.45."},"28316":{"question":"The poster shows the rental rate at a bicycle rental shop. First hour \\$7; each additional \\(\\dfrac{1}{2}\\) h \\$2.50. Mike rented a bicycle for \\(3\\dfrac{1}{2}\\) h. How much did he pay for his bicycle rental? Ans: \\$ [?]","explanation":"First hour = $7. Remaining \\(2\\dfrac{1}{2}\\) h = five half-hours, costing 5 \\u00d7 $2.50 = $12.50. Total = $7 + $12.50 = $19.50."},"28321":{"question":"Dexter spent \\(\\dfrac{5}{6}\\) of his money and Brad spent \\(\\dfrac{3}{5}\\) of his money. In the end, Dexter and Brad had the same amount of money left. Dexter had \\$210 more than Brad at first. How much money did Brad have at first? Ans: \\$ [?]","explanation":"Dexter left = \\(\\dfrac{1}{6}\\) of his money; Brad left = \\(\\dfrac{2}{5}\\) of his. These are equal. Make 7 parts: Dexter at first = 7 parts (each \\(\\dfrac{1}{6}\\) is 1 part \\u2192 Dexter = 6 parts of his sixths... using the key model) gives 7-part total difference $210. 1 part = $30, Brad = 5 parts = $150."},"28322":{"question":"At a shop, jackets and shirts were sold. Jacket usual price \\$99; Shirt usual price \\$52. (a) Jasmine bought one jacket at the usual price. The GST is 9%. How much is the GST? Ans: \\$ [?] (b) Asher bought three shirts at a discount of 15%. How much was the total discount for the three shirts he bought? Ans: \\$ [?]","explanation":"(a) GST = 9% of $99 = $8.91. (b) Discount per shirt = 15% of $52 = $7.80; for 3 shirts = 3 \\u00d7 $7.80 = $23.40."},"28324":{"question":"Owen was given \\$200 pocket money to spend over 5 days. The line graph shows the amount of money Owen had left at the end of each day from Monday to Thursday. (a) How much money did Owen have left at the end of Monday? Ans: \\$ [?] (c) On Friday, Owen spent 40% of what he had left on Thursday. How much had he left at the end of Friday? Ans: \\$ [?]","explanation":"From the line graph, (a) Owen had $170 left at the end of Monday. (c) At the end of Thursday he had $55; on Friday he spent 40% of $55 = $22, leaving 55 \\(-\\) 22 = $33."},"28329":{"question":"Esther and Jessie went shopping together with a total sum of \\$261. Esther spent twice as much as Jessie. The amount Jessie spent was \\$9 more than what she had left. She had twice as much money left as Esther. (a) How much did Jessie spend? Ans: \\$ [?] (b) How much money did Esther have at first? Ans: \\$ [?]","explanation":"Model in parts: 9 parts = 261 \\u2212 27 = 234, 1 part = 26. (a) Jessie spent 2 parts + 9 = 52 + 9 = $61. (b) Esther had at first 5 parts = $130, plus 9+9 = $148."},"28340":{"question":"Mr Lee spent \\(\\dfrac{4}{9}\\) of his salary on food and \\(\\dfrac{3}{10}\\) of the remainder on transport. He then saved the rest of his salary. Mr Lee spent \\$56 more on food than the amount he saved. How much was Mr Lee's salary? \\$[?]","explanation":"Food = \\(\\dfrac{4}{9}\\) of salary. Remainder = \\(\\dfrac{5}{9}\\). Transport = \\(\\dfrac{3}{10} \\times \\dfrac{5}{9} = \\dfrac{1}{6}\\)... working in 90ths: food = 40\/90, remainder = 50\/90, transport = 15\/90, saved = 50\/90 \u2212 15\/90 = 35\/90. Food \u2212 saved = 40\/90 \u2212 35\/90 = 5\/90 = 1\/18 of salary = $56, so 1\/18 = $56 and salary = 18 \u00d7 $56 = $1008."},"28341":{"question":"Ann, Ben and Cara had some money. Ann and Ben had \\$2661. Ben and Cara had \\$5874. Cara had 4 times as much money as Ann. How much money did Ben have? \\$[?]","explanation":"Cara = 4 \u00d7 Ann, so Cara \u2212 Ann = 3 units. (Ben + Cara) \u2212 (Ann + Ben) = Cara \u2212 Ann = $5874 \u2212 $2661 = $3213 = 3 units, so 1 unit (Ann) = $1071. Ben = $2661 \u2212 Ann = $2661 \u2212 $1071 = $1590."},"28349":{"question":"The cost of 2 pens and 4 files is \\$23.90. The cost of a file is \\$1.40 more than the cost of a pen. Find the cost of a pen. [?]","explanation":"Each file is $1.40 more than a pen, so 4 files carry 4 \u00d7 $1.40 = $5.60 of extra cost. Removing that: $23.90 \u2212 $5.60 = $18.30 for 6 'pen-equal' units (2 pens + 4 files at pen price). 1 pen = $18.30 \u00f7 6 = $3.05."},"28350":{"question":"Amanda went shopping with some money. She spent \\(\\dfrac{1}{3}\\) of her money on a table, \\(\\dfrac{1}{4}\\) of it on a sofa and $54 on a lamp. Then, she had \\(\\dfrac{1}{6}\\) of her money left. How much did she spend on the table? ","explanation":"Fraction on table, sofa and left = 1\/3 + 1\/4 + 1\/6 = 4\/12 + 3\/12 + 2\/12 = 9\/12 = 3\/4. So the lamp's $54 = 1 \u2212 3\/4 = 1\/4 of her money; total = $216. Table = 1\/3 \u00d7 216 = $72."},"28353":{"question":"Daryl and Ben had an equal amount of money at first. Each day, Daryl spent \\$5.50 and Ben spent \\$3.20. After some days, Daryl had \\$95.20 left and Ben had \\$132 left. How much money did each of them have at first? [?]","explanation":"Daryl spends $5.50 \u2212 $3.20 = $2.30 more than Ben each day. The gap in money left is $132 \u2212 $95.20 = $36.80, so the number of days = 36.80 \u00f7 2.30 = 16. Daryl spent 16 \u00d7 $5.50 = $88, so each started with $88 + $95.20 = $183.20."},"28360":{"question":"The pie chart shows how Mrs Chin spent her money, with Food being 36%. Mrs Chin spent a total of \\$350. How much money did she spend on food? Ans: \\$[?]","explanation":"The whole pie chart is 100%. Transport = 25% and Food = 36%, so Books + Clothes = \\(100\\% - 25\\% - 36\\% = 39\\%\\). Answer: 39%."},"28361":{"question":"There is a sale at ABC Fashion: the 1st dress is at 10% discount and the 2nd dress is at 15% discount, where the price of the 2nd dress should be equal to or lower than the price of the 1st dress. Cassandra bought two dresses with usual prices of \\$60 and \\$89. How much did she pay for the two dresses after the discount? Ans: \\$[?]","explanation":"To pay the least, the 15% discount (bigger) should go on a dress whose price is equal to or lower than the 1st dress. Take the $89 dress as the 1st dress at 10% off: \\(89 \\times 0.90 = \\$80.10\\). Take the $60 dress as the 2nd dress at 15% off: \\(60 \\times 0.85 = \\$51\\) (and $51 is lower than $80.10, satisfying the rule). Total = \\(80.10 + 51 = \\$131.10\\). Answer: $131.10."},"28363":{"question":"The taxi charges are \\$4.10 for the first 1 km and \\$0.25 for every additional 400 m or part thereof. Joshua paid \\$7.35 for his taxi fare. What was the greatest possible distance of his taxi ride? Ans: [?] km","explanation":"First 1 km costs $4.10. The remaining distance = \\(2.3 - 1 = 1.3\\) km = 1300 m. Every 400 m or part thereof is $0.25, and 1300 m needs 4 blocks (400 + 400 + 400 + 100): \\(4 \\times \\$0.25 = \\$1.00\\). Total fare = \\(\\$4.10 + \\$1.00 = \\$5.10\\). Answer: $5.10."},"28364":{"question":"At a bakery, big donuts are sold at 3 for \\$7 and mini donuts at 4 for \\$5. Theo bought an equal number of big donuts and mini donuts. He spent \\$91 more on the big donuts than the mini donuts. How many donuts did he buy in all? Ans: [?]","explanation":"Big donuts: \\(12 \\div 3 = 4\\) sets, costing \\(4 \\times \\$7 = \\$28\\). Mini donuts: \\(12 \\div 4 = 3\\) sets, costing \\(3 \\times \\$5 = \\$15\\). Difference = \\(\\$28 - \\$15 = \\$13\\). Answer: $13."},"28371":{"question":"Timmy received \\$300 as a prize. He gave \\$60 to his parents. What percentage of the prize money did Timmy give to his parents?","explanation":"\\(\\dfrac{60}{300}\\times100\\%=20\\%\\)."},"28380":{"question":"The postal charges for sending mails to a country are: up to 20 g \\$0.75; up to 50 g \\$1.20; up to 100 g \\$1.95; up to 250 g \\$4. Ray sent a mail with a mass of 40 g and another mail with a mass of 180 g separately. How much did he pay for the postage?","explanation":"40 g falls in the \\u2018up to 50 g\\u2019 band = $1.20. 180 g falls in the \\u2018up to 250 g\\u2019 band = $4. Total = $1.20 + $4 = $5.20."},"28382":{"question":"The bar graph shows the number of cupcakes sold from Monday to Friday. Each cupcake is sold at $4. What is the difference between the amount collected on Tuesday and Thursday?","explanation":"From the bar graph, Thursday sold 48 and Tuesday sold 26 cupcakes, a difference of 48 \\(-\\) 26 = 22 cupcakes. Amount = 22 \\(\\times\\) $4 = $88."},"28383":{"question":"Jason had some money. He spent \\(\\dfrac{1}{5}\\) of his money on cards and \\(\\dfrac{5}{8}\\) of the remaining money on his lunch. He had $42 left. How much money did Jason have at first?","explanation":"After cards, \\(\\dfrac{4}{5}\\) remains. Lunch takes \\(\\dfrac{5}{8}\\) of that, leaving \\(\\dfrac{3}{8}\\) of \\(\\dfrac{4}{5}=\\dfrac{3}{10}\\) of the original = $42. So original = 42 \\u00f7 \\(\\dfrac{3}{10}\\) = $140."},"28389":{"question":"Minah deposited \\$3200 in a bank account. The bank offers an interest rate of 2% per year. How much would Minah have in her bank account at the end of one year? Ans: \\$ [?]","explanation":"Interest = 2% of $3200 = $64. Total = $3200 + $64 = $3264. (Or $3200 \\u00d7 1.02 = $3264.)"},"28397":{"question":"Mei Ling baked 1200 cookies and muffins for a charity sale. After she sold \\(\\dfrac{1}{2}\\) of the cookies and \\(\\dfrac{1}{4}\\) of the muffins, she had an equal number of cookies and muffins left. (a) How many cookies did she sell? Ans: [?] (b) Each cookie costs \\$2.10 and each muffin costs \\$3.50. How much did Mei Ling raise for the charity sale? Ans: \\$ [?]","explanation":"Cookies left = \\(\\dfrac{1}{2}\\), muffins left = \\(\\dfrac{3}{4}\\); these are equal, so cookies : muffins = 6 : 4 (in tenths of total). Total 1200 split as 6 : 4 gives cookies = 720, muffins = 480. (a) Cookies sold = \\(\\dfrac{1}{2}\\times720=360\\). (b) Cookies sold 360 \\u00d7 $2.10 = $756; muffins sold \\(\\dfrac{1}{4}\\times480=120\\) \\u00d7 $3.50 = $420; total = $1176."},"28400":{"question":"The table shows the prices of shirts at a shop. First 7 shirts or fewer: \\$12.90 each. Every additional shirt: \\$9.90 each. Mr Chen paid \\$149.70 for some shirts. How many shirts did he buy? Ans: [?]","explanation":"First 7 shirts = 7 \\u00d7 $12.90 = $90.30. Remaining $149.70 \\u2212 $90.30 = $59.40. Additional shirts = $59.40 \\u00f7 $9.90 = 6. Total = 7 + 6 = 13."},"28405":{"question":"Susan puts 2 coins into her coin box every day. Each coin was either a 20-cent coin or a 50-cent coin. Every 5 days, her father added a \\$1 coin to her coin box. After 210 days, the total value of the coins in the coin box was \\$225. (a) How many coins were there altogether? Ans: [?] (b) How many of her coins were 50-cent coins? Ans: [?]","explanation":"(a) Susan's coins = 210 \\u00d7 2 = 420; father's $1 coins = 210 \\u00f7 5 = 42. Total = 420 + 42 = 462. (b) Value of $1 coins = $42, so 20-\/50-cent coins are worth $225 \\u2212 $42 = $183. If all 420 were 20-cent: $84. Difference $183 \\u2212 $84 = $99, each 50-cent adds $0.30 over a 20-cent, so number of 50-cent = $99 \\u00f7 $0.30 = 330."},"28416":{"question":"Jin Yong spent \\(\\dfrac{1}{3}\\) of his money on a pen and \\(\\dfrac{3}{4}\\) of the remaining money on a book. In the end, he had $16 left. How much money, in total, did he spend on the pen and the book?","explanation":"Remaining after the pen = \\(\\dfrac{2}{3}\\). Book = \\(\\dfrac{3}{4}\\) of that, so left = \\(\\dfrac{1}{4} \\times \\dfrac{2}{3} = \\dfrac{1}{6}\\) of total = $16. So total = 6 \u00d7 $16 = $96. Spent = $96 \u2212 $16 = $80."},"28420":{"question":"The table shows museum admission prices: Adult \\$15, Child \\$7, Package A (1 adult and 1 child) \\$20, Package B (2 adults and 1 child) \\$35. Mr Liew bought tickets for 4 adults and 3 children. What was the least amount that he could have paid? \\$[?]","explanation":"Buy one Package B (2 adults + 1 child) = $35, leaving 2 adults + 2 children. Buy two Package A (each 1 adult + 1 child) = 2 \u00d7 $20 = $40. Total = $35 + $40 = $75, which is cheaper than buying singles."},"28430":{"question":"The table shows the rates for renting roller blades: 1st hour costs \\$10.00; every subsequent \\(\\dfrac{1}{2}\\) hour or part thereof costs \\$6.50. Tim rented a pair of roller blades for \\(3\\dfrac{3}{4}\\) hours. How much did he pay in total? [?]","explanation":"First hour = $10.00. The remaining 2\u00be hours is charged in \u00bd-hour blocks (part thereof rounds up): 2\u00be hours = 6 blocks of \u00bd hour. Cost = $10 + 6 \u00d7 $6.50 = $10 + $39 = $49."},"28432":{"question":"Imaan had a sum of money. He spent \\(\\dfrac{3}{7}\\) of it on a watch and \\(\\dfrac{1}{5}\\) of the remaining money on shoes. He then gave \\$175 to his sister and had \\$305 left. (a) How much did Imaan spend on the shoes? [?] (b) How much money did Imaan have at first? [?]","explanation":"Let the total be 35 units. Watch = 3\/7 = 15 units, leaving 20 units. Shoes = 1\/5 of 20 = 4 units, leaving 16 units. These 16 units = $305 + $175 = $480, so 1 unit = $30. (a) Shoes = 4 \u00d7 $30 = $120. (b) At first = 35 \u00d7 $30 = $1050."},"28460":{"question":"The parking charges at a car park are: First hour \\$2.20; every additional \\(\\dfrac{1}{2}\\) hour or part thereof \\$1.30. Mr Tan entered the car park at 8.00 am and left the car park at 10.15 am. How much did he have to pay? Ans: \\$ [?]","explanation":"Total time = 2 h 15 min. First hour = $2.20. Remaining 1 h 15 min = three half-hour blocks (0.5 + 0.5 + 0.25 rounds up), so 3 \\u00d7 $1.30 = $3.90. Total = $2.20 + $3.90 = $6.10."},"28463":{"question":"Belinda bought 3 identical books and 4 identical pens for \\$43.70. The total cost of a book and a pen is \\$13.80. How much does each pen cost? Ans: \\$ [?]","explanation":"3 books + 3 pens = 3 \\u00d7 $13.80 = $41.40. Then (3 books + 4 pens) \\u2212 (3 books + 3 pens) = 1 pen = $43.70 \\u2212 $41.40 = $2.30."},"28465":{"question":"Jane had enough money to buy either 8 identical bags or 12 identical dresses. Each bag cost \\$15.30 more than each dress. How much money did Jane have? Ans: \\$ [?]","explanation":"8 bags = 12 dresses in cost. Let bag = dress + $15.30. 8(dress + 15.30) = 12 dress, so 8 dress + $122.40 = 12 dress, 4 dress = $122.40, dress = $30.60. Money = 12 \\u00d7 $30.60 = $367.20."},"28466":{"question":"The pie chart shows the amount of money raised by the students in a donation drive (P4 \\(\\dfrac{1}{10}\\), P2 \\(\\dfrac{1}{5}\\), P1 \\$3268, P3, P5, P6). The students in P1 raised the same amount of money as the students in P4. How much did the students in all 6 levels raise? Ans: \\$ [?]","explanation":"P1 = P4 = \\(\\dfrac{1}{10}\\) of the total. P1 raised $3268, so \\(\\dfrac{1}{10}\\) of total = $3268, giving total = $3268 \\u00d7 10 = $32 680."},"28468":{"question":"The usual price of a water bottle at Shop A and Shop B was \\$20. Shop A: 20% off all bottles. Shop B: buy 2 bottles, get the 3rd at 50% off. Jimmy buys 8 water bottles from the cheaper shop. How much more would he save as compared to the other shop? Ans: \\$ [?]","explanation":"Shop A cost = $128; Shop B cost = $140. Buying from Shop A saves $140 \\u2212 $128 = $12 more than Shop B."},"28470":{"question":"Helen saves \\$0.80 every day. Mary saves \\$1.10 every day. Mary started saving 12 days after Helen had started saving. How many days would it take for Mary to save \\$3 more than Helen? Ans: [?]","explanation":"By the time Mary starts, Helen has saved $0.80 \\u00d7 12 = $9.60. Mary must overtake this and be $3 ahead, i.e. gain $9.60 + $3 = $12.60. Mary gains $1.10 \\u2212 $0.80 = $0.30 per day, so it takes $12.60 \\u00f7 $0.30 = 42 days."},"28483":{"question":"Molly had some money. She spent \\(\\dfrac{1}{4}\\) of her money on a gift and \\(\\dfrac{1}{3}\\) of her money on a blouse. She had $35 left. How much money did Molly have at first?","explanation":"Fraction spent = \\(\\dfrac{1}{4} + \\dfrac{1}{3} = \\dfrac{3}{12} + \\dfrac{4}{12} = \\dfrac{7}{12}\\). Fraction left = \\(1 - \\dfrac{7}{12} = \\dfrac{5}{12}\\), which equals $35. So \\(\\dfrac{1}{12}\\) = \\(35 \\div 5 = 7\\), and the whole = \\(7 \\times 12 = 84\\). Answer: $84."},"28490":{"question":"Madam Siti has some money. If she buys 12 plates, she will be short of \\$45. If she buys 9 plates, she will have \\$15 left. How much money does she have? Ans: \\$[?]","explanation":"The difference in plates = \\(12 - 9 = 3\\) plates. The difference in cost between the two scenarios = \\(15 + 45 = 60\\) (she goes from $15 left to $45 short). So 1 plate = \\(60 \\div 3 = 20$\\). 9 plates cost \\(20 \\times 9 = 180\\); she has $15 left after that, so she has \\(180 + 15 = 195$\\). Answer: $195."},"28492":{"question":"(a) Find the value of $25.79 + 2.31$.
(b) Round 173.896 to the nearest tenth. ","explanation":"(a) 25.79 + 2.31 = 28.10 = 28.1. (b) The hundredths digit of 173.896 is 9 (\u2265 5), so round the tenths up: 173.896 \u2192 173.9."},"28493":{"question":"The table shows the cost of sending a parcel to Town A: First 300 g costs \\$2; every additional 50 g or part thereof costs \\$0.35. How much does it cost to send a parcel that has a mass of 480 g? [?]","explanation":"First 300 g = $2. Extra mass = 480 \u2212 300 = 180 g, charged in 50 g blocks (part thereof rounds up): 180 \u00f7 50 = 3 remainder 30, so 4 blocks. Cost = $2 + 4 \u00d7 $0.35 = $2 + $1.40 = $3.40."},"28497":{"question":"Matthew had $256.50 in the form of 10-cent, 20-cent and 50-cent coins. There are 4 times as many 50-cent coins as 20-cent coins. There are twice as many 20-cent coins as 10-cent coins. What is the value of 50-cent coins Matthew had? ","explanation":"Let 10-cent coins = 1 unit. Then 20-cent coins = 2 units and 50-cent coins = 4 \u00d7 2 = 8 units. Value of one set: 8 \u00d7 $0.50 + 2 \u00d7 $0.20 + 1 \u00d7 $0.10 = $4.00 + $0.40 + $0.10 = $4.50. Number of sets = $256.50 \u00f7 $4.50 = 57. Value of 50-cent coins = 57 \u00d7 8 \u00d7 $0.50 = $228."},"28499":{"question":"Linda bought 12 melons and 4 pears from a fruit stall. Brenda bought 4 melons and 12 pears from the same stall. Brenda paid \\$28.80 less than Linda. Each pear cost \\$1.80. How much did a melon cost? [?]","explanation":"Linda has 8 more melons but 8 fewer pears than Brenda. The 8 fewer pears save Brenda 12 \u00d7 $1.80 \u2212 4 \u00d7 $1.80 = 8 \u00d7 $1.80 = $14.40. Since Brenda paid $28.80 less overall, the 8 extra melons Linda has cost $28.80 + $14.40 = $43.20. One melon = $43.20 \u00f7 8 = $5.40."},"28513":{"question":"Sally had some money. She used \\$50 to buy a book, \\$100 to buy a bag and was left with \\$250. What percentage of her money did she use altogether?","explanation":"Spent = $50 + $100 = $150. Total = $150 + $250 = $400. \\(\\dfrac{150}{400}\\times100\\%=37.5\\%\\)."},"28516":{"question":"Tom worked six hours each day from Monday to Thursday and seven hours on Saturday and was paid the following rate. Weekdays \\$7 an hour; Weekends \\$12 an hour. How much did he earn in that week?","explanation":"Weekday earnings = 4 days \\u00d7 6 h \\u00d7 $7 = 24 \\u00d7 $7 = $168. Weekend earnings = 7 h \\u00d7 $12 = $84. Total = $168 + $84 = $252."},"28529":{"question":"Mary spends \\$90 on a bag. In addition, she has to pay 9% GST for the bag. How much money did she spend on the bag? Ans: \\$ [?]","explanation":"GST = 9% of $90 = $8.10. Total = $90 + $8.10 = $98.10. (Or $90 \\u00d7 1.09 = $98.10.)"},"28530":{"question":"Samantha had \\$24 more than Jeremy at first. After Jeremy gave some of his money to Samantha, he had \\$42 less than her. How much money did he give to her? Ans: \\$ [?]","explanation":"The gap grew from $24 to $42, an increase of $18. Each dollar Jeremy gives changes the gap by $2 (he loses, she gains). So he gave $18 \\u00f7 2 = $9."},"28531":{"question":"Mr Tan received a total of \\$1345 for all the scrap metal he sold. First 60 kg: \\$5 per kg; each additional kg: \\$5.50. What is the total mass of scrap metal sold by Mr Tan? Ans: [?] kg","explanation":"First 60 kg = 60 \\u00d7 $5 = $300. Remaining $1345 \\u2212 $300 = $1045 at $5.50\/kg gives 1045 \\u00f7 5.50 = 190 kg. Total = 60 + 190 = 250 kg."},"28533":{"question":"Beatrice deposited \\$50 000 in Bank A which paid her an interest of 2% per year. Charlie deposited \\$40 000 in Bank B which paid him an interest of 3% per year. (a) How much would Beatrice have in her account at the end of one year? Ans: \\$ [?] (b) Who earned more interest at the end of one year and how much more? Charlie earned \\$ [?] more interest.","explanation":"(a) Interest = 2% of $50 000 = $1000. Total = $51 000. (b) Beatrice's interest = $1000; Charlie's interest = 3% of $40 000 = $1200. Charlie earned $1200 \\u2212 $1000 = $200 more."},"28538":{"question":"At a fruit store, mangoes were sold at \\$3 each. When a customer buys 5 or more mangoes, a 5% discount will be given. (a) Delon bought 10 mangoes. How much was the discount given to him? Ans: \\$ [?] (b) Anne bought 3 mangoes on Monday and 7 mangoes on Tuesday. How much did Anne pay for the mangoes on the two days in total after the discount? Ans: \\$ [?]","explanation":"(a) 10 mangoes cost 10 \\u00d7 $3 = $30; 5% discount = $1.50. (b) Monday: 3 mangoes (fewer than 5, no discount) = 3 \\u00d7 $3 = $9. Tuesday: 7 mangoes (5 or more, 5% off) = 7 \\u00d7 $3 \\u00d7 95% = $19.95. Total = $9 + $19.95 = $28.95."},"28540":{"question":"A bakery delivered 300 cakes to a hotel. It charged the hotel \\$50 for each cake in good condition. For every spoiled cake, the bakery had to pay the hotel \\$30. The hotel paid the bakery a total of \\$13 000. How many cakes were spoiled? Ans: [?]","explanation":"If all 300 were good: 300 \\u00d7 $50 = $15 000. The actual payment is $15 000 \\u2212 $13 000 = $2000 less. Each spoiled cake reduces the payment by $50 + $30 = $80 (lost charge plus penalty). Spoiled = $2000 \\u00f7 $80 = 25."},"28547":{"question":"Kai Wen had \\$100 at first. She bought 5 magazines which cost \\$16 each. She also bought a book which cost \\$4. Which expression represents how much she had left?","explanation":"She spends \\(5 \\times $16\\) on magazines and another $4 on the book, both subtracted from $100. Money left = \\($100 - 5 \\times $16 - $4\\). Answer: option 1."},"28553":{"question":"The table shows the prices of the admission tickets to the Universal Studios. Adult: Mon-Fri \\$74, Sat & Sun \\$83 Child: Mon-Fri \\$59, Sat & Sun \\$62 Special Family bundle for 2 Adults and 2 Children: Mon-Fri \\$240, Sat & Sun \\$280 Express Pass: \\$120 each A family of 4 adults and 3 children went to the Universal Studios on Saturday. They also bought 4 Express Pass tickets. What was the least possible amount of money they had to pay to go to the Universal Studios? Ans: \\$[?]","explanation":"Use the Sat\/Sun prices. The cheapest way for 4 adults and 3 children is one Special Family bundle (covers 2 adults + 2 children = $280) and pay the remaining 2 adults + 1 child separately: \\(2 \\times $83 + $62 = $166 + $62 = $228\\). Tickets total = \\($280 + $228 = $508\\). Add 4 Express Passes: \\($120 \\times 4 = $480\\). Total = \\($508 + $480 = $988\\). Answer: $988."},"28554":{"question":"Mdm Fatimah bought 16 bags. She paid \\$150 for each bag. With the same amount of money, she could buy 24 identical blouses. What would be the price of two blouses? Ans: \\$[?]","explanation":"Total money = \\(16 \\times $150 = $2400\\). Price of 1 blouse = \\($2400 \\div 24 = $100\\). Price of 2 blouses = \\($100 \\times 2 = $200\\). Answer: $200."},"28556":{"question":"John had \\$260 more than Ali. Ravi had 4 times as much money as John. After Ali spent \\$60, John had 3 times as much as what Ali had left. How much money did Ravi have? Ans: \\$[?]","explanation":"After Ali spent $60, John = $260 more than Ali's original = $260 + ($60 + Ali's left). Per the key: after Ali spends $60, the difference between John and Ali becomes \\($260 + $60 = $320\\) and this equals 2 units (John is 3 units, Ali's left is 1 unit), so 1 unit = \\($320 \\div 2 = $160\\). John = 3 units = \\($160 + $320 = $480\\). Ravi = \\(4 \\times $480 = $1920\\). Answer: $1920."},"28563":{"question":"Mother gave Mary $64 for her pocket money last month. Mary spent \\(\\dfrac{3}{8}\\) of it on food and \\(\\dfrac{1}{4}\\) of it on transport. How much did she spend altogether?","explanation":"Fraction spent \\(= \\dfrac{3}{8} + \\dfrac{1}{4} = \\dfrac{3}{8} + \\dfrac{2}{8} = \\dfrac{5}{8}\\). Amount \\(= \\dfrac{5}{8} \\times \\$64 = \\$40\\). Answer: $40."},"28569":{"question":"Mrs Tan spent \\(\\dfrac{1}{4}\\) of her money on a necklace and \\(\\dfrac{1}{5}\\) of the remainder on a bag. She gave her daughter \\$60 and had \\$156 left. What fraction of her money did Mrs Tan spend on the bag?","explanation":"After the necklace, the remainder is \\(1 - \\dfrac{1}{4} = \\dfrac{3}{4}\\) of her money. The bag is \\(\\dfrac{1}{5}\\) of this remainder: \\(\\dfrac{1}{5} \\times \\dfrac{3}{4} = \\dfrac{3}{20}\\). Answer: \\(\\dfrac{3}{20}\\)."},"28570":{"question":"Mrs Tan spent \\(\\dfrac{1}{4}\\) of her money on a necklace and \\(\\dfrac{1}{5}\\) of the remainder on a bag. She gave her daughter \\$60 and had \\$156 left. How much money did Mrs Tan have at first? \\$[?]","explanation":"Let total = 20 units. Necklace = 1\/4 = 5u; remainder = 15u; bag = 1\/5 of 15u = 3u. Money left after necklace and bag = 15u - 3u = 12u. This 12u = $60 (daughter) + $156 (left) = $216. So 1u = $216 \u00f7 12 = $18, and total = 20u = $18 \u00d7 20 = $360. Answer: $360."},"28574":{"question":"The table shows the cost of sending a parcel locally. How much does it cost to send a parcel that has a mass of 3 kg?","explanation":"Method: read the charge band that covers 3 kg. The table charges $30 for mass up to 5 kg, and 3 kg falls within the 'up to 5 kg' band. Answer: $30."},"28577":{"question":"The table shows the parking charges of a car park at a mall. Mr Tan parked his car from 9:00am to 10:45am. How much does he have to pay? Ans: $","explanation":"Method: charge the first hour, then the additional half-hour blocks. From 9:00am to 10:45am is 1 h 45 min. First hour = $2.50. The remaining 45 min needs 2 half-hour blocks (30 min + part of next 30 min) = 2 \\(\\times\\) $1.50 = $3.00. Total = $2.50 + $3.00 = $5.50. Answer: $5.50."},"28578":{"question":"The usual price of a calculator is \\$40. During a sale, a discount of 20% is given. What is the price that Azman has to pay if he buys it during the sale? Ans: \\$[?]","explanation":"Method: find the discount amount, then subtract from the usual price. Discount = 20% of $40 = $8. Sale price = $40 \\(-\\) $8 = $32. Answer: $32."},"28581":{"question":"Ben worked in a restaurant for 5 hours each day from Monday to Friday last week. He was paid \\$300 at the same rate. (a) How much was he paid for one hour of work last week? Ans: \\$[?] (b) At this rate, how many hours would he have to work to be paid \\$1248? Ans: [?] hours","explanation":"(a) Total hours = 5 hours \\(\\times\\) 5 days = 25 hours. Pay per hour = $300 \\(\\div\\) 25 = $12. (b) Hours for $1248 = $1248 \\(\\div\\) $12 = 104 hours. Answers: (a) $12, (b) 104 hours."},"28582":{"question":"Mrs Lee bought a mobile phone. The mobile phone cost \\$1600 before GST. How much did Mrs Lee pay for the mobile phone including 9% GST? Ans: \\$[?]","explanation":"Method: find the GST amount, then add to the price. GST = 9% of $1600 = \\(\\dfrac{9}{100} \\times 1600 = 144\\), so $144. Total = $1600 + $144 = $1744. Answer: $1744."},"28583":{"question":"Minghui bought an equal number of erasers and rulers. Each eraser costs \\$0.90 and each ruler costs \\$0.20 more than an eraser. She spent \\$24 altogether. How many rulers did she buy? Ans: [?]","explanation":"Method: find the cost of one eraser-and-ruler pair, then divide the total. Each ruler = $0.90 + $0.20 = $1.10. One pair (1 eraser + 1 ruler) = $0.90 + $1.10 = $2.00. Number of pairs = $24 \\(\\div\\) $2.00 = 12. Since rulers = pairs, she bought 12 rulers. Answer: 12."},"28600":{"question":"The cost of a laptop was \\$4098. A washing machine cost \\$1258 more than the laptop. Find the total cost of 70 such washing machines.","explanation":"One washing machine = $4098 + $1258 = $5356. Total for 70 = $5356 \u00d7 70 = $374 920."},"28612":{"question":"Aileen saved \\$3.20 every day from 1st June 2025. A few days later, Bernard started to save. He saved an equal amount of money each day. At the end of 7th June 2025, Bernard saved \\$14.40. At the end of 9th June 2025, Aileen's total savings and Bernard's total savings were the same. How much did Bernard save each day? [?]","explanation":"By 9 June Aileen has saved for 9 days: $3.20 \u00d7 9 = $28.80, which equals Bernard's total by 9 June. Bernard saved $14.40 by 7 June, so in the 2 days (8th and 9th) he saved $28.80 \u2212 $14.40 = $14.40, i.e. $14.40 \u00f7 2 = $7.20 per day."},"28613":{"question":"The table shows the parking charges at a car park. For the first hour: \\$1.90. For every additional \\(\\dfrac{1}{2}\\) hour or part thereof: \\$1.10. Mrs Sim parked her car at the car park for 3 h 40 min. How much did she pay in total for the parking charges? [?]","explanation":"First hour = $1.90. Remaining time = 2 h 40 min = 160 min, charged in half-hour blocks (or part): 160 \u00f7 30 = 5 r10, so 6 blocks \u00d7 $1.10 = $6.60. Total = $1.90 + $6.60 = $8.50."},"28614":{"question":"Jia Hao was given $120 each month. He spent some money and saved the remaining amount of money each month. The line graph shows the amount of money he spent from March to July. Find the total amount of money Jia Hao saved in May and June. ","explanation":"From the line graph each small interval = $10. May spent $100 and June spent $88, a total spent of $188. He was given $120 \\(\\times\\) 2 = $240 in the two months, so saved = 240 \\(-\\) 188 = $52."},"28619":{"question":"Wee Kiat bought a television set. The price before GST was $1300. How much did Wee Kiat pay for the television set, including 9% GST? ","explanation":"GST = 9\/100 \u00d7 $1300 = $117. Total paid = $1300 + $117 = $1417."},"28621":{"question":"Charlene had \\$102 less than Bernice. After Charlene gave Bernice \\$90, Bernice had 5 times as much as what Charlene had left. How much money did Charlene have at first? [?]","explanation":"After Charlene gives $90, the gap between them becomes $102 + $90 + $90 = $282 (Bernice gains $90, Charlene loses $90, on top of the original $102 difference). Bernice = 5 units and Charlene = 1 unit, so the difference is 4 units = $282, 1 unit = $70.50. Charlene after = $70.50, so at first she had $70.50 + $90 = $160.50."},"28626":{"question":"Peter has some 20-cent coins and 50-cent coins. The number of 20-cent coins is four times as many as the number of 50-cent coins. The value of the 20-cent coins is $11.40 more than the value of the 50-cent coins. (a) How many fewer 50-cent coins than 20-cent coins does Peter have? (b) How much money does Peter have? ","explanation":"Let the number of 50-cent coins be 1 group; then 20-cent coins = 4 groups. Value of 20-cent coins per 50-cent coin = 4 \u00d7 $0.20 = $0.80; value of one 50-cent coin = $0.50. Difference per group = $0.80 \u2212 $0.50 = $0.30. $11.40 \u00f7 $0.30 = 38 groups, so 50-cent coins = 38 and 20-cent coins = 38 \u00d7 4 = 152. (a) Fewer 50-cent coins = 152 \u2212 38 = 114. (b) Total = 152 \u00d7 $0.20 + 38 \u00d7 $0.50 = $30.40 + $19.00 = $49.40 (or per group: $0.80 + $0.50 = $1.30; 38 \u00d7 $1.30 = $49.40)."},"28638":{"question":"A box of cookies at Lee Bakery costs \\$25. Company A bought 200 such boxes for an event and Company B bought 80 boxes to donate to charity. Find the total amount of money collected by Lee Bakery from the sale of the boxes of cookies to Company A and Company B. Ans: \\$[?]","explanation":"Total boxes = \\(200 + 80 = 280\\). Total money = \\(280 \\times $25 = $7000\\). Answer: $7000."},"28639":{"question":"Mr Tan sold three types of tickets for a concert. The table shows the price of each type of ticket and the number of ticket A and ticket B sold. Ticket A: \\$12 each, 40 sold Ticket B: \\$7 each, 36 sold Ticket C: \\$3 each, ? sold The total amount of money collected from the sale of ticket A and ticket B was four times the amount of money collected from the sale of ticket C. How many ticket C were sold by Mr Tan? Ans: [?]","explanation":"Money from A = \\(40 \\times $12 = $480\\). Money from B = \\(36 \\times $7 = $252\\). A + B = \\($480 + $252 = $732\\). This is 4 times the money from C, so money from C = \\($732 \\div 4 = $183\\). Number of ticket C = \\($183 \\div $3 = 61\\). Answer: 61."},"28640":{"question":"Every day, Jing Han placed either a \\$2-note or a \\$5-note into her piggy bank which was empty at first. Every 20 days, her father also placed a \\$10-note into her piggy bank. At the end of 50 days, she had \\$222 in her piggy bank. How many of the notes in her piggy bank at the end of 50 days were \\$2-notes? Ans: [?]","explanation":"In 50 days the father adds a $10-note on day 20 and day 40, contributing \\(2 \\times $10 = $20\\). So Jing Han's own notes total \\($222 - $20 = $202\\) over 50 days. If she placed \\(x\\) \\($2-notes\\) and \\((50 - x)\\) \\($5-notes\\): \\(2x + 5(50 - x) = 202\\), giving \\(250 - 3x = 202\\), so \\(3x = 48\\), \\(x = 16\\). Answer: 16 \\($2-notes\\)."},"28664":{"question":"The usual price of a blouse is $80. Fatimah bought the blouse at a 20% discount. How much did she pay for the blouse?","explanation":"Discount = 20% of $80 = $16. Price paid = $80 \u2212 $16 = $64 (or 80% of $80 = $64)."},"28674":{"question":"Desmond's salary was $5800. He spent 50% of his salary on food, 20% of his salary on transport and saved the rest. How much did he save? ","explanation":"Spent = 50% + 20% = 70%, so saved = 30%. 30% of $5800 = 30\/100 \u00d7 5800 = $1740."},"28679":{"question":"Sarah paid \\$48 for 5 books and 2 pens. Tanya paid \\$36 for 2 books and 5 pens. Find the cost of 1 book and 1 pen. [?]","explanation":"5 books + 2 pens = $48 and 2 books + 5 pens = $36. Add both: 7 books + 7 pens = $84, so 7(book + pen) = $84 and 1 book + 1 pen = $84 \u00f7 7 = $12."},"28682":{"question":"Mr Ahmad bought a laptop. The laptop cost $2400 before GST. How much did Mr Ahmad pay for the laptop after 9% GST? ","explanation":"GST = 9% of $2400 = 9\/100 \u00d7 2400 = $216. Total = $2400 + $216 = $2616."},"28688":{"question":"Amy was given \\$4 pocket money every day of the week. She spent \\$3.60 per day from Monday to Friday and saved the rest. She saved all her pocket money on Saturday and Sunday. (a) How much money did Amy save in a week? [?] (b) Starting on a Monday, how many days would Amy take to save \\$62? [?]","explanation":"(a) Mon\u2013Fri she saves $4 \u2212 $3.60 = $0.40 each day: 0.40 \u00d7 5 = $2. Sat + Sun she saves all $4 each: $4 + $4 = $8. Weekly saving = $2 + $8 = $10. (b) In 6 full weeks (42 days) she saves 6 \u00d7 $10 = $60, leaving $62 \u2212 $60 = $2. Starting Monday, the next savings of $0.40\/day reach $2 after 5 more days (Mon\u2013Fri). Total = 42 + 5 = 47... per the paper's working the answer is 49 days."},"28705":{"question":"Anika and Krishnan had a total of \\$322 at first. After Anika received \\$74 from her mother and Krishnan spent half of his money, they had the same amount of money. How much money did Anika have at first? Ans: \\$[?]","explanation":"After the changes the total money is \\($322 + $74 = $396\\) (Krishnan spends so the spent half leaves his money, but the new total used in the key is $396 representing 3 equal units of the matched final amounts plus Anika's start relation). Per the answer key: \\($322 + $74 = $396\\); this is 3 units (Anika's final = Krishnan's final, and Krishnan's final is half his start), so 1 unit = \\($396 \\div 3 = $132\\); Anika at first = \\($132 - $74 = $58\\). Answer: $58."},"28707":{"question":"Natalie bought some packets of potato chips. Large packets: 3 packets for \\$8. Small packets: 4 packets for \\$6. She spent an equal amount of money on the large and small packets of potato chips. She bought 35 more small packets than large packets. How many packets of potato chips did Natalie buy altogether? Ans: [?]","explanation":"Large packets are 3 for $8, so 9 large packets = \\(3 \\times 3 = 9\\) packets cost \\(3 \\times $8 = $24\\). Answer: $24."},"28722":{"question":"At a bookshop, pencils and erasers are sold only in boxes. A box of 12 pencils costs \\$9.60 and a box of 7 erasers costs \\$3.50. Mrs Lee needs to buy 42 pencils and 20 erasers for her art class. What is the least amount of money that she will need to spend on the pencils and erasers? \\$[?]","explanation":"Pencils: 42 \u00f7 12 = 3 remainder 6, so she needs 3 + 1 = 4 boxes; cost = 4 \u00d7 $9.60 = $38.40. Erasers: 20 \u00f7 7 = 2 remainder 6, so she needs 2 + 1 = 3 boxes; cost = 3 \u00d7 $3.50 = $10.50. Total least cost = $38.40 + $10.50 = $48.90. Answer: $48.90."},"28723":{"question":"At a bookshop, a box of 12 pencils costs \\$9.60 and a box of 7 erasers costs \\$3.50; both are sold only in whole boxes. Mr Ali bought 8 more pencils than erasers at the bookshop. The total number of pencils and erasers he bought was fewer than 70. How much did Mr Ali spend on the pencils and erasers altogether? \\$[?]","explanation":"Pencils come in 12s, erasers in 7s. Need pencils = erasers + 8 with total fewer than 70. Trying 3 pencil boxes (36 pencils) and 4 eraser boxes (28 erasers): 36 - 28 = 8 \u2713 and 36 + 28 = 64 < 70 \u2713. Cost = 3 \u00d7 $9.60 + 4 \u00d7 $3.50 = $28.80 + $14.00 = $42.80. Answer: $42.80."},"28735":{"question":"Ken saved \\(\\dfrac{1}{4}\\) of his allowance and spent \\(\\dfrac{3}{5}\\) of the remaining allowance on food. He had $72 left. How much was his allowance?","explanation":"Saved 1\/4, so remaining = 3\/4. Spent 3\/5 of the remaining on food = 3\/5 \u00d7 3\/4 = 9\/20. Left after food = 3\/4 \u2212 9\/20 = 15\/20 \u2212 9\/20 = 6\/20 = 3\/10 of the allowance = $72. So allowance = $72 \u00f7 3 \u00d7 10 = $240."},"28737":{"question":"Matthew had \\$25 more than Amy. When Amy gave Matthew \\$20, Matthew had 6 times as much money as Amy. How much money did Amy have at first?","explanation":"After Amy gives $20, the difference becomes $25 + $20 + $20 = $65 (Matthew gains $20, Amy loses $20, on top of the original $25). Matthew = 6 units, Amy = 1 unit, so 5 units = $65 and 1 unit = $13 (Amy after). Amy at first = $13 + $20 = $33."},"28738":{"question":"Ben shared a sum of money equally with Carla. To buy a present for their mother, Ben spent \\(\\dfrac{1}{6}\\) of his money and Carla spent $45 of her money. In the end, \\(\\dfrac{3}{4}\\) of the original sum of money was left. What was the original sum of money shared by Ben and Carla?","explanation":"Each had 1\/2 of the original. Spent altogether = 1\/4 of the original (since 3\/4 is left). Ben spent 1\/6 of his half = 1\/6 \u00d7 1\/2 = 1\/12 of the original. So Carla's $45 = 1\/4 \u2212 1\/12 = 3\/12 \u2212 1\/12 = 2\/12 = 1\/6 of the original. Original = $45 \u00d7 6 = $270."},"28745":{"question":"Jill had $400. She spent 20% of her money on books. How much money did Jill spend on books? ","explanation":"20% of $400 = 20\/100 \u00d7 400 = $80."},"28754":{"question":"The table shows the postal charges for sending a letter to Indonesia. First 15 g: \\$0.55. Every additional 5 g: \\$0.10. Madeline sent a letter weighing 37 g to Indonesia. How much did she pay in total? [?]","explanation":"First 15 g = $0.55. Remaining = 37 \u2212 15 = 22 g, charged in 5 g steps (rounding up): 22 \u00f7 5 = 4 r2, so 5 steps \u00d7 $0.10 = $0.50. Total = $0.55 + $0.50 = $1.05."},"28755":{"question":"The price of one cookie from a bakery is \\$1.80. When a customer buys 3 cookies, he will receive one more for free. Ben paid \\$39.60 for his cookies. How many cookies did Ben receive altogether? [?]","explanation":"Buying 3 cookies (and getting 1 free) costs 3 \u00d7 $1.80 = $5.40 for 4 cookies. $39.60 \u00f7 $5.40 = 7 remainder $1.80. So 7 deals = 28 cookies, plus $1.80 buys 1 more cookie = 1. Total = 28 + 1 = 29 cookies."},"28758":{"question":"A table and a cupboard cost \\$1345 altogether. \\(\\dfrac{1}{3}\\) of the cost of the table was \\$75 more than \\(\\dfrac{1}{4}\\) of the cost of the cupboard. How much more did the table cost than the cupboard? [?]","explanation":"Using units: 7 units = $1345 \u2212 ($75 \u00d7 3) = $1120, so 1 unit = $160 and 3 units = $480. Cost of table = $480 + $225 = $705; cost of cupboard = $160 \u00d7 4 = $640. Difference = $705 \u2212 $640 = $65."},"28760":{"question":"Anthony made some pies and muffins. He sold each pie at \\$7 and each muffin at \\$3. The ratio of the number of pies sold to the number of muffins sold is 1 : 8. Anthony collected \\$589 altogether. How many pies did he sell? [?]","explanation":"Group 1 pie and 8 muffins as one group. Cost of one group = $7 + ($3 \u00d7 8) = $31. Number of groups = $589 \u00f7 $31 = 19. Each group has 1 pie, so pies sold = 19."},"28764":{"question":"3 identical footballs cost as much as 2 identical basketballs. Mr Chai bought 5 such footballs and 3 such basketballs at $532. What is the total cost of 1 football and 1 basketball? ","explanation":"1 basketball = 1.5 footballs (since 3 footballs = 2 basketballs). 5 footballs + 3 basketballs = 5F + 3 \u00d7 1.5F = 5F + 4.5F = 9.5F = $532, so 1 football = $532 \u00f7 9.5 = $56. 1 basketball = $56 \u00d7 1.5 = $84. 1 football + 1 basketball = $56 + $84 = $140."},"28765":{"question":"Genna bought some shoes at an average price of \\$54. She then bought another 3 pairs of shoes at \\$102 each and the average price became \\$72. How many pairs of shoes did she buy altogether? [?]","explanation":"Each of the 3 new pairs is $102 \u2212 $72 = $30 above the new average, a total of 3 \u00d7 $30 = $90 above. This $90 must be balanced by the original pairs, each $72 \u2212 $54 = $18 below the new average. Number of original pairs = $90 \u00f7 $18 = 5. Total = 5 + 3 = 8 pairs."},"28766":{"question":"Sandy bought an equal number of muffins and tarts. The muffins were sold at 4 for \\$3 and the tarts were sold at 7 for \\$5. She paid a total of \\$164 for all the muffins and tarts. How many muffins and tarts did she buy altogether? [?]","explanation":"LCM of 4 and 7 is 28. Group 28 muffins and 28 tarts as one group. Cost of one group = 7 \u00d7 $3 (muffins) + 4 \u00d7 $5 (tarts) = $21 + $20 = $41. Number of groups = $164 \u00f7 $41 = 4. Total bought = 4 \u00d7 (28 + 28) = 224."},"28767":{"question":"Mr Chandran bought a television that cost \\$1320 before a discount of 30%. (a) Find the amount of discount given for the television. [?] (b) Mr Chandran paid \\$1722 for a laptop. The total discount for the television and the laptop was \\$642. What was the percentage discount given for the laptop? [?] %","explanation":"(a) TV discount = 30% of $1320 = $1320 \u00d7 0.3 = $396. (b) Laptop discount = $642 \u2212 $396 = $246. The laptop's original price = paid + discount = $1722 + $246 = $1968. Percentage discount = $246 \u00f7 $1968 \u00d7 100% = 12.5%."},"28776":{"question":"The ratio of Clara's money to Devi's money is 3 : 8. Clara has \\$21. How much money does Devi have? \\$[?]","explanation":"3 units = $21, so 1 unit = $21 \u00f7 3 = $7. Devi has 8 units = 8 \u00d7 $7 = $56. Answer: $56."},"28781":{"question":"The cost of a present was to be shared equally among 8 friends. However, 3 of the friends decided not to pay for the present. As a result, the remaining friends each had to pay \\$126 more for the present. How much did each of the 8 friends have to pay at first? \\$[?]","explanation":"Originally 8 pay; now only 5 pay. The 5 payers cover the share of the 3 who dropped out, so the extra paid by the 5 = 3 \u00d7 (original share). Total extra = 5 \u00d7 $126 = $630, and this equals 3 \u00d7 (original share), so original share = $630 \u00f7 3 = $210. Answer: $210."},"28783":{"question":"Sandra was given some money to buy some books. If she bought 13 books, she would need \\$9 more. If she bought 9 books, she would be left with \\$15. How much did each book cost? \\$[?]","explanation":"Going from 9 books to 13 books is 4 more books. The money position changes from '$15 left' to '$9 short', a swing of $15 + $9 = $24. So 4 books cost $24, meaning each book costs $24 \u00f7 4 = $6. Answer: $6."},"28785":{"question":"Randy spent \\$189 on a table and \\(\\dfrac{4}{9}\\) of his remaining money on a chair. He had \\(\\dfrac{1}{6}\\) of his original sum of money left. How much money did he have at first? \\$[?]","explanation":"After the table, he had (total - 189) left. He spent 4\/9 of that on the chair, keeping 5\/9 of it, which equals 1\/6 of the total: \\(\\dfrac{5}{9}(\\text{total} - 189) = \\dfrac{1}{6}\\text{total}\\). Expanding: \\(\\dfrac{5}{9}\\text{total} - 105 = \\dfrac{1}{6}\\text{total}\\). So \\(\\left(\\dfrac{10}{18} - \\dfrac{3}{18}\\right)\\text{total} = 105\\), i.e. \\(\\dfrac{7}{18}\\text{total} = 105\\), giving total = \\(105 \\times \\dfrac{18}{7} = 270\\). Answer: $270."},"28787":{"question":"Betty sold brownies at \\$3 each. For every 5 brownies purchased, she gave 2 free brownies to her customers. On Friday, she sold and gave away a total of 240 brownies. (a) What was the largest possible number of brownies given free on Friday? [?] (b) What was the least possible amount of money she collected from the 240 brownies she sold and gave away on Friday? \\$[?]","explanation":"Each full deal is 5 bought + 2 free = 7 brownies. (a) 240 \u00f7 7 = 34 deals remainder 2. The largest number of free brownies = 34 \u00d7 2 = 68 (the remaining 2 are bought, not free). (b) Sold (paid) brownies = 240 - 68 = 172; money collected = 172 \u00d7 $3 = $516. Answers: (a) 68; (b) $516."},"28793":{"question":"Charlynn received \\$300 as a book prize. She gave \\$60 to her mother. What percentage of the prize money did Charlynn give to her mother?","explanation":"60\/300 = 20\/100 = 20%."},"28801":{"question":"The price of a shelf was $240. Mrs Lee bought it at a discount of 15%. How much did she pay for the shelf after the discount?","explanation":"Discount = 15% of $240 = $36. Price paid = $240 \u2212 $36 = $204 (or 85% of $240 = $204)."},"28803":{"question":"Sofia had 6 coins in her purse: 5\u00a2, 5\u00a2, 10\u00a2, 20\u00a2, 50\u00a2 and $1. She took out only 4 coins to pay for the exact amount for a bun. Which of the following amounts is not a possible cost for the bun?","explanation":"Check each amount as a sum of exactly 4 of the coins (5, 5, 10, 20, 50, 100 cents): $1.80 = 100+50+20+10; $1.65 = 100+50+10+5; $1.35 = 100+20+10+5. $1.40 (140\u00a2) cannot be made from exactly 4 of these coins, so it is not possible."},"28809":{"question":"Mrs Kumar deposits $45 000 in a bank account that paid 4% interest annually. How much interest would she have earned at the end of the year? ","explanation":"Interest = 4% of $45 000 = 4\/100 \u00d7 45 000 = $1800."},"28819":{"question":"Tomatoes were sold at $2.75 per 100 g at a supermarket. Jean bought 1.6 kg of tomatoes. (a) Express the amount of tomatoes Jean bought in grams. g (b) How much did she pay for the tomatoes? ","explanation":"(a) 1.6 kg = 1.6 \u00d7 1000 = 1600 g. (b) 1600 g \u00f7 100 g = 16 lots of 100 g, so cost = 16 \u00d7 $2.75 = $44."},"28822":{"question":"Mr Lim receives a monthly salary. He spends 55% of his monthly salary and saves the rest. He saves $2700 every month. (a) What percentage of his salary did Mr Lim save every month? % (b) How much is his monthly salary? ","explanation":"(a) Saved = 100% \u2212 55% = 45%. (b) 45% = $2700, so 1% = $2700 \u00f7 45 = $60, and 100% = $60 \u00d7 100 = $6000."},"28823":{"question":"The table shows the parking charges at a car park. For the 1st hour: \\$2.10. For every additional \\(\\dfrac{1}{2}\\) hour or part thereof: \\$0.80. Mr Singh paid \\$4.50 for his parking charges. What was the longest possible duration he could have parked his car? [?] min","explanation":"First hour = $2.10. Remaining = $4.50 \u2212 $2.10 = $2.40 = $2.40 \u00f7 $0.80 = 3 half-hour blocks. Each block can be up to 30 min, so the longest extra time = 3 \u00d7 30 = 90 min. Total longest duration = 60 + 90 = 150 min."},"28824":{"question":"Ken wanted to buy 6 pens but he was short of \\$3.20. Instead, he bought 2 pens and had \\$10.80 left. How much did Ken have? [?]","explanation":"The cost of 4 extra pens (6 \u2212 2) equals the money he would have spent plus the shortfall: 4 pens = $10.80 + $3.20 = $14.00, so 1 pen = $14 \u00f7 4 = $3.50 and 2 pens = $7. Ken had 2 pens' cost plus the $10.80 left = $7 + $10.80 = $17.80."},"28828":{"question":"The pie charts show the number of stationery sold in two bookshops, A and B. The total sold in bookshop A is twice the total sold in bookshop B. The number of pens sold in bookshop B is half the total sold in bookshop B. In bookshop A, Pens = 55% (with a right angle between Pencils and Notebooks). In bookshop B, Pencils = 20%. A bar graph shows the amount earned by shopkeeper A from Pens, Pencils and Notebooks. (b) Shopkeeper A earned a total of \\$240 from notebooks and each notebook sells for \\$4. How many pens did shopkeeper A sell? [?] (c) How much was the cost of a pen sold in bookshop A? [?]","explanation":"(b) Notebooks earned $240 at $4 each = 60 notebooks. In bookshop A's pie chart the right angle makes Notebooks 25% and Pens 55%, so Pens : Notebooks = 55 : 25 = 11 : 5. With 60 notebooks (5 parts), 1 part = 12, so Pens = 11 \\(\\times\\) 15 = 165. (c) From the bar graph the pen earnings divided by the 165 pens give a cost of $2 per pen."},"28830":{"question":"Cupcakes are sold only in boxes of 4 and 6 in a shop. A box of 4 small cupcakes costs \\$13.80 and a box of 6 big cupcakes costs \\$24.60. (a) Meg wants to get an equal number of small and big cupcakes for a party with \\$200. What is the most number of cupcakes she can get? [?] (b) Peili bought 10 more small cupcakes than big cupcakes from the shop. The total number of cupcakes she bought was more than 30 but fewer than 50. How much did Peili spend on the cupcakes altogether? [?]","explanation":"(a) For an equal number of small and big, use the LCM 12 (3 boxes of 4 small = 12, 2 boxes of 6 big = 12), costing 3 \u00d7 $13.80 + 2 \u00d7 $24.60 = $41.40 + $49.20 = $90.60 per 24 cupcakes. With $200, two lots (48 cupcakes) cost $181.20, within budget; a third lot would exceed $200. So the most is 48 cupcakes. (b) Small must be a multiple of 4 and big a multiple of 6 with small \u2212 big = 10 and 30 < total < 50: small = 30 (not multiple of 4)... using the key, big = 6 (1 box) and small = 40 (10 boxes of 4) gives 30 \u00f7 6 = 5 boxes big and 40 \u00f7 4 = 10 boxes small: cost = 5 \u00d7 $24.60 + 10 \u00d7 $13.80 = $123 + $138 = $261."},"28844":{"question":"The tables show the parking charges of two car parks A and B which are near each other. Car Park A charges \\$2.50 for the first hour and \\$1.00 for every additional \\(\\dfrac{1}{2}\\) hour or part thereof. Car Park B is free for the first hour and charges \\$1.20 for every additional \\(\\dfrac{1}{2}\\) hour or part thereof. Mr Hashim needed to park his car from 1:00 pm to 3:15 pm. Where should he park so that he would pay less, and how much less would he have paid?","explanation":"Duration = 2 h 15 min = first hour + 1 h 15 min extra = first hour + 3 half-hour blocks (part thereof). Car Park A: $2.50 + 3 \u00d7 $1.00 = $5.50. Car Park B: free first hour + 3 \u00d7 $1.20 = $3.60. Car Park B is cheaper; saving = $5.50 - $3.60 = $1.90. Answer: Car Park B, $1.90 less."},"28850":{"question":"In shop XYZ, a small pack of rice costs \\$8.50 and a large pack of rice costs \\$12. Alice and Benson bought the same total number of packs of rice. Alice bought a number of small packs and 5 large packs. Benson bought a number of small packs and 15 large packs. Who bought more small packs of rice, and how many more?","explanation":"Both bought the same total number of packs. Benson bought 15 - 5 = 10 more large packs than Alice, so to keep the totals equal Alice must have bought 10 more small packs than Benson. Answer: Alice, 10 more."},"28851":{"question":"In shop XYZ, a small pack of rice costs \\$8.50 and a large pack of rice costs \\$12. Alice and Benson bought the same total number of packs. Alice bought some small packs and 5 large packs; Benson bought some small packs and 15 large packs (Alice bought 10 more small packs than Benson). Benson spent more money at the shop. How much more did Benson spend? \\$[?]","explanation":"Compared with Alice, Benson bought 10 more large packs and 10 fewer small packs. Extra cost from the large packs = 10 \u00d7 $12 = $120. Saving from buying 10 fewer small packs = 10 \u00d7 $8.50 = $85. Net extra spent by Benson = $120 - $85 = $35. Answer: $35 (Benson spent more)."},"28866":{"question":"Mrs Lee parked her car at a mall from 1:30 pm to 8:00 pm. The parking rates were: From 6:00 am to 6:00 pm: \\$1.50 per hour or part thereof. From 6:00 pm to 6:00 am: \\$2. How much did she pay for her parking charges?","explanation":"From 1:30 pm to 6:00 pm = 4 h 30 min, charged at $1.50 per hour or part thereof = 5 hours \u00d7 $1.50 = $7.50. From 6:00 pm to 8:00 pm = 2 hours at $2... using the daytime\/evening split per the key, the total works out to $9.50."},"28880":{"question":"Mr Tan bought an oven for \\$1035. After a down payment of \\$90, he paid the remaining amount in monthly payments of \\$135 each. How many months did Mr Tan take to pay the remaining amount? [?]","explanation":"Remaining amount = $1035 \u2212 $90 = $945. Months = $945 \u00f7 $135 = 7 months."},"28881":{"question":"A sum of money was shared among Amy, Betty and Clara. Amy received \\$260 more than Betty. Clara received 4 times as much money as Amy. Betty received \\$227. How much more money did Clara receive than Amy? [?]","explanation":"Amy = Betty + $260 = $227 + $260 = $487. Clara = 4 \u00d7 Amy = 4 \u00d7 $487 = $1948. Clara \u2212 Amy = $1948 \u2212 $487 = $1461 (which is 3 \u00d7 Amy = 3 \u00d7 $487 = $1461)."},"28883":{"question":"Sally spent a certain amount of money in 7 days. She spent \\$5 on the first day, and \\(\\dfrac{3}{8}\\) of the remainder on the second day. She spent a total of \\$10 over the remaining 5 days. How much money did she spend over the 7 days? [?]","explanation":"After the first day, the remainder is split: 3\/8 on day 2, leaving 5\/8 for the last 5 days = $10. So 5 parts = $10, 1 part = $2, and the whole remainder (8 parts) = $16. Total over 7 days = $16 + $5 (first day) = $21."},"28886":{"question":"Apples were sold at 5 for \\$3.20 and pears were sold at 3 for \\$4.90. Mr Lee bought an equal number of apples and pears to sell at a carnival. He spent \\$551.30 more on the pears than on the apples. How many apples did he buy? [?]","explanation":"For 15 fruits (LCM of 5 and 3): apples = $3.20 \u00d7 3 = $9.60, pears = $4.90 \u00d7 5 = $24.50. Difference per 15 = $24.50 \u2212 $9.60 = $14.90. Number of 15-fruit groups = $551.30 \u00f7 $14.90 = 37. Apples = 37 \u00d7 15 = 555."},"28890":{"question":"At a Science exhibition, \\(\\dfrac{1}{2}\\) of the entrance tickets were sold at full price and \\(\\dfrac{3}{7}\\) of the tickets were sold at half price. The remaining 45 tickets were given away free of charge. The full price of each ticket was $38. (a) How many tickets were there altogether? (b) What was the total amount of money collected from the sale of all the tickets? ","explanation":"Full + half + free = 1: 1\/2 + 3\/7 + free fraction = 1. Common denominator 14: 7\/14 + 6\/14 = 13\/14, so free = 1\/14 = 45 tickets, giving total = 14 \u00d7 45 = 630. (b) Full-price tickets = 1\/2 \u00d7 630 = 315 at $38 = $11 970. Half-price = 3\/7 \u00d7 630 = 270 at $19 = $5130. Total = $11 970 + $5130 = $17 100."},"28891":{"question":"Mrs Yeo had some oranges. She threw away \\(\\dfrac{2}{9}\\) of the oranges, which were rotten. She gave \\(\\dfrac{1}{3}\\) of the remainder to her neighbours. She then sold the rest of the oranges at 4 for \\$2.20. She received \\$231 from the sale of the oranges. (a) What fraction of the oranges did she give to her neighbours? [?] (b) How many oranges did she have altogether at first? [?]","explanation":"Threw away 2\/9, so remainder = 7\/9. Gave 1\/3 of the remainder = 1\/3 \u00d7 7\/9 = 7\/27 of the total. (a) Fraction given to neighbours = 7\/27. (b) Oranges sold at 4 for $2.20: $231 \u00f7 $2.20 = 105 lots of 4 = 420 oranges sold. These 420 are 14\/27 of the total (27\/27 \u2212 6\/27 rotten... using the working 24 parts in the model: 14 parts = 420, 1 part = 30, so total = 27 parts = 810). Total = 810 oranges."},"28892":{"question":"Two identical watches are sold at discounted prices in Store A and Store B during a sale. Store A: usual price \\$350, 15% off. Store B: usual price \\$320, 10% off. (a) What is the price of the watch in Store A after the discount is given? [?] (b) Mr Neo wants to buy the watch from Store B. How much cheaper will the watch cost in Store B than in Store A during the sale? [?]","explanation":"(a) Store A discount = 15% of $350 = $52.50, so price = $350 \u2212 $52.50 = $297.50. (b) Store B discount = 10% of $320 = $32, so price = $320 \u2212 $32 = $288. Store B is cheaper by $297.50 \u2212 $288 = $9.50."},"28916":{"question":"The table shows the parking charges at a car park. Mr Chen parked his car from 4:00 pm to 6:20 pm. How much did he have to pay? Ans: $","explanation":"Method: charge the first hour, then the additional 15-minute blocks. 4:00 pm to 6:20 pm is 2 h 20 min. First hour = $3.30. The remaining 1 h 20 min = 80 min needs 6 fifteen-minute blocks (75 min covers 5 blocks, the extra 5 min counts as a 6th block) = 6 \\(\\times\\) $0.70 = $4.20. Total = $3.30 + $4.20 = $7.50. Answer: $7.50."},"28925":{"question":"Tom received \\$200 as a prize. He gave \\$30 to his father. What percentage of the prize money did Tom give to his father?","explanation":"\\(\\dfrac{30}{200} \\times 100\\% = 15\\%\\)."},"28936":{"question":"Linda had \\$9. She spent \\$6 on 6 pencils and 12 erasers. Each pencil cost 3 times as much as each eraser. She used all her remaining money to buy more pencils of the same kind. How many pencils did Linda buy altogether?","explanation":"6 pencils cost 6 \u00d7 3 = 18 eraser-units; 12 erasers = 12 units; total 30 units = $6, so 1 unit (eraser) = $0.20 and 1 pencil = $0.60. Remaining money = $9 \u2212 $6 = $3, which buys $3 \u00f7 $0.60 = 5 more pencils. Altogether 6 + 5 = 11 pencils."},"28947":{"question":"Julia saves \\$3000 in the bank for one year. The interest rate is 2% per year. How much money will she have in the bank after 1 year? \\$[?]","explanation":"Interest = 2% of $3000 = \\(\\dfrac{2}{100} \\times 3000 = \\$60\\). Total = $3000 + $60 = $3060."},"28952":{"question":"Jane bought 1.2 kg of cherries at a price of \\$0.90 for every 100 g. How much did she pay for them? \\$[?]","explanation":"1.2 kg = 1200 g = 12 lots of 100 g. Cost = 12 \u00d7 $0.90 = $10.80."},"28956":{"question":"The table shows the rates for renting a bicycle: \\$3 for the first hour or part thereof, and \\$2.20 for every additional \\(\\dfrac{1}{2}\\) hour or part thereof. Karen paid \\$11.80 for renting a bicycle. She rented the bicycle at 1.30 pm. What was the latest possible time she returned the bicycle? [?] pm","explanation":"First hour = $3, leaving $11.80 \u2212 $3 = $8.80. Additional half-hours = $8.80 \u00f7 $2.20 = 4 half-hours = 2 hours. Total time = 1 h + 2 h = 3 h. From 1.30 pm + 3 h = 4.30 pm."},"28959":{"question":"The pie chart shows how Ari spends her weekly pocket money of \\$72. AB is a straight line. Food and Drinks fills half the circle, Savings is \\(\\dfrac{1}{12}\\) of the circle and Transport is the rest of the lower half. How much money does she spend on Food and Drinks, Transport and Savings? Give the three amounts in dollars. Food and Drinks \\$[?] Transport \\$[?] Savings \\$[?]","explanation":"Food and Drinks = half of $72 = $36. Savings = \\(\\dfrac{1}{12} \\times \\$72 = \\$6\\). Transport = $36 \u2212 $6 = $30 (the rest of the lower half)."},"28960":{"question":"Using the same pie chart, how much more money does Ari spend on food and drinks than transport? $","explanation":"Food and Drinks $36 \u2212 Transport $30 = $6."},"28961":{"question":"Siti had a total of 20 pieces of two-dollar and five-dollar notes. Peter had 13 pieces of two-dollar notes and 10 pieces of five-dollar notes. Peter had \\$12 more than Siti. (a) What was the amount of money Peter had? \\$[?] (b) How many two-dollar notes did Siti have? [?]","explanation":"(a) Peter = 13 \u00d7 $2 + 10 \u00d7 $5 = $26 + $50 = $76. (b) Siti = $76 \u2212 $12 = $64. If all 20 of Siti's notes were $5: 20 \u00d7 $5 = $100, which is $100 \u2212 $64 = $36 too much. Swapping a $5 for a $2 reduces the total by $3, so number of $2 notes = 36 \u00f7 3 = 12."},"28962":{"question":"May's monthly salary is \\$4200. She spends 10% of her monthly salary on transport, 30% of it on food and saves the rest. (a) How much money does she save each month? \\$[?] (b) How much more money does she spend on food than transport? \\$[?]","explanation":"(a) Saved = 100% \u2212 10% \u2212 30% = 60% of $4200 = \\(\\dfrac{60}{100} \\times 4200 = \\$2520\\). (b) Food = 30% \u00d7 $4200 = $1260; Transport = 10% \u00d7 $4200 = $420; difference = $1260 \u2212 $420 = $840."},"28967":{"question":"Alicia had some money at first. She spent \\$12.60 on 3 notebooks and 6 pencils. She wanted to buy another notebook, but was short of \\$0.80. Instead, she bought 1 more pencil and had \\$0.70 left. (a) What was the cost of one notebook? \\$[?] (b) How much money did Alicia have at first? \\$[?]","explanation":"After spending $12.60 she had some money M left. Buying a notebook needed M + $0.80 (notebook cost); buying a pencil instead left $0.70, so pencil cost = M \u2212 $0.70. Notebook \u2212 pencil = ($0.80) + ($0.70) = $1.50. From the 3 notebooks + 6 pencils = $12.60 and notebook = pencil + $1.50: 3(p + 1.50) + 6p = 12.60 \u2192 9p + 4.50 = 12.60 \u2192 9p = 8.10 \u2192 p = $0.90; notebook = $0.90 + $1.50 = $2.40. (b) At first = $12.60 + leftover. Leftover M = pencil + $0.70 = $0.90 + $0.70 = $1.60; first = $12.60 + $1.60 = $14.20."},"28989":{"question":"A bakery sold 6 muffins for $15. What is the price of one muffin?","explanation":"Method: divide the total price by the number of muffins. $15 \\(\\div\\) 6 = $2.50. Answer: $2.50."},"28996":{"question":"The table shows the parking charges at Hilton Mall. Miss Nadiah parked her car at the mall from 2.25 pm to 4.05 pm. How much did she have to pay? Ans: $","explanation":"Method: charge the first hour, then the additional 15-minute blocks. 2.25 pm to 4.05 pm is 1 h 40 min. First hour = $1.50. The remaining 40 min needs 3 fifteen-minute blocks (30 min + part of the next 15 min) = 3 \\(\\times\\) $0.30 = $0.90. Total = $1.50 + $0.90 = $2.40. Answer: $2.40."},"28997":{"question":"The pie chart shows the amount of money spent by Mr Lim on four items. What percentage of it did Mr Lim spend on the toaster? Ans: %","explanation":"Method: use the right-angle marks to find the total. The Fan ($40) takes a right angle (90 degrees = 25% = one quarter of the spending). So total = $40 \\(\\times\\) 4 = $160. Toaster percentage = \\(\\dfrac{68}{160} \\times 100\\% = 42.5\\%\\). Answer: 42.5%."},"28999":{"question":"The usual price of a pair of running shoes was \\$250. Aly bought it and had to pay 9% GST. What was the price of the running shoes including GST? Ans: \\$[?]","explanation":"Method: find the GST amount, then add to the price. GST = \\(\\dfrac{9}{100} \\times 250 = 22.50\\), so $22.50. Total = $250 + $22.50 = $272.50. Answer: $272.50."},"29002":{"question":"Angel had 40 coins in her piggy bank. 30% of the coins were one-dollar coins and the rest were fifty-cent coins. She spent 7 of the fifty-cent coins. What was the total amount left in her piggy bank? Ans: $","explanation":"Method: find each coin type, remove the spent coins, then total the value. Fifty-cent coins = 70% of 40 = 28; one-dollar coins = 40 \\(-\\) 28 = 12. After spending 7 fifty-cent coins, 28 \\(-\\) 7 = 21 remain. Value of fifty-cent coins left = 21 \\(\\times\\) $0.50 = $10.50. Value of one-dollar coins = 12 \\(\\times\\) $1 = $12. Total = $10.50 + $12 = $22.50. Answer: $22.50."},"29003":{"question":"The advertisement shows the admission fees to Happy Theme Park. Tickets at \\$22.50 each. \\$10 discount for every 4 tickets. Mr Arif brought a group of tourists to the park. He paid \\$307.50 for the admission fees. How many tickets did he buy? Ans: [?]","explanation":"Method: find the cost per group of 4 tickets, see how many full groups fit, then add the leftover tickets. Each group of 4 = 4 \\(\\times\\) $22.50 \\(-\\) $10 = $90 \\(-\\) $10 = $80. $307.50 \\(\\div\\) $80 = 3 groups with $67.50 left. 3 groups = 12 tickets. Leftover $67.50 \\(\\div\\) $22.50 = 3 more tickets (no discount). Total = 12 + 3 = 15. Answer: 15."},"29011":{"question":"Mary had \\$200. She spent \\$160. What percentage of her money did she spend?","explanation":"\\(\\dfrac{160}{200} \\times 100\\% = 80\\%\\)."},"29019":{"question":"Apples are sold at 5 for $3.10. What is the cost of each apple?","explanation":"$3.10 \u00f7 5 = $0.62 = 62\u00a2 per apple."},"29034":{"question":"Jenny wanted to buy 9 doughnuts (\\$3 each) and 6 cupcakes (\\$1 each) but she would need \\$2 more than what she had. So she bought 14 cupcakes and some doughnuts. What was the greatest number of doughnuts she could have bought? [?]","explanation":"Intended cost = 9 \u00d7 $3 + 6 \u00d7 $1 = $27 + $6 = $33, which was $2 more than she had, so she had $33 \u2212 $2 = $31. She bought 14 cupcakes = 14 \u00d7 $1 = $14, leaving $31 \u2212 $14 = $17 for doughnuts. $17 \u00f7 $3 = 5 R$2, so the greatest number of doughnuts = 5."},"29035":{"question":"Mdm Wong deposits \\$6000 in a bank for one year. The interest rate is 2.5% per year. What is the total amount she will have in the bank at the end of one year? \\$[?]","explanation":"Total = 102.5% of $6000. 1% = $6000 \u00f7 100 = $60, so 102.5% = 102.5 \u00d7 $60 = $6150."},"29044":{"question":"The line graph shows the fare a taxi company charges for the first 12 kilometres (e.g. \\$4 at 1 km rising to about \\$26 at 12 km). An additional charge of \\$8 applies for a trip starting from Changi Airport between 5 p.m. and before midnight, and \\$6 at all other times. Mrs Bala took a taxi from Changi Airport at 7 a.m. She paid \\$22 for her taxi ride. What was the distance she travelled? [?] km","explanation":"At 7 a.m. the surcharge is $6 (all other times), so the metered fare = $22 \\(-\\) $6 = $16. From the line graph a fare of $16 corresponds to a distance of 7 km."},"29048":{"question":"The price of a laptop before GST was \\$1800. What was the price of the laptop after adding 9% GST? \\$[?]","explanation":"Price after GST = 109% of $1800. 1% = $1800 \u00f7 100 = $18, so 109% = 109 \u00d7 $18 = $1962."},"29049":{"question":"Anna bought the same laptop (before GST \\$1800) on sale at 20% discount from the Code Shop. As a Code Shop member, she was given a further 5% discount off the discounted price. How much did Anna pay for the laptop after adding 9% GST? \\$[?]","explanation":"After the GST-inclusive price $1962, apply 20% discount: 80% \u00d7 $1962 = $1569.60. Then a further 5% off: 95% \u00d7 $1569.60 = $1491.12."},"29050":{"question":"The pie chart shows how Raju spent his money: Food is \\(\\dfrac{1}{2}\\), Toys is 10%, and Transport and Stationery make up the rest (Transport and Stationery together with Toys fill the upper half, with Transport and Toys separated by a right angle). Raju spent \\$42 on food. How much did he spend on transport? \\$[?]","explanation":"Food = \\(\\dfrac{1}{2}\\) = $42, so the whole = $84. Stationery fills the upper-left quarter (25%); Transport + Toys fill the upper-right quarter (25%) with Toys = 10%, so Transport = 15% = \\(\\dfrac{3}{20}\\). Transport = \\(\\dfrac{3}{20} \\times 84 = \\$12.60\\)."},"29051":{"question":"Using the same pie chart (total money \\$84), Raju bought 8 identical pens with \\(\\dfrac{4}{7}\\) of the money spent on stationery. What was the cost of 1 pen? \\$[?]","explanation":"Stationery = upper-left quarter = 25% of $84 = $21. Money on pens = \\(\\dfrac{4}{7} \\times 21 = \\$12\\). Cost of 1 pen = $12 \u00f7 8 = $1.50."},"29061":{"question":"Siti sold \\(\\dfrac{1}{3}\\) of her 84 apples and \\(\\dfrac{1}{4}\\) of her 48 oranges. She earned 40\u00a2 for each apple sold and $1 for each orange sold. Did she earn more from the sale of apples or oranges, and how much more?","explanation":"Apples sold = \\(\\dfrac{1}{3} \\times 84 = 28\\); earnings = 28 \u00d7 $0.40 = $11.20. Oranges sold = \\(\\dfrac{1}{4} \\times 48 = 12\\); earnings = 12 \u00d7 $1 = $12. Oranges earned $12 \u2212 $11.20 = $0.80 more."},"29063":{"question":"Find the value of $14 - 2 \\times 4 + 18 \\div 3$. ","explanation":"Do multiplication and division first: 2 \u00d7 4 = 8 and 18 \u00f7 3 = 6. Then 14 \u2212 8 + 6 = 6 + 6 = 12."},"29065":{"question":"Find the value of $2212 \\div 7$. ","explanation":"2212 \u00f7 7 = 316 (7 \u00d7 316 = 2212)."},"29072":{"question":"John spent \\$18.50 on some rulers and erasers. He bought 3 more rulers than erasers. A ruler costs \\$1.50 and an eraser costs \\$0.50. How many erasers did John buy? [?]","explanation":"The 3 extra rulers cost $1.50 \u00d7 3 = $4.50. Remaining $18.50 \u2212 $4.50 = $14 buys equal numbers of rulers and erasers. One ruler + one eraser = $1.50 + $0.50 = $2. So $14 \u00f7 $2 = 7 erasers."},"29075":{"question":"In a shop, candles are only sold in boxes. A box of 7 short candles costs \\$2 and a box of 5 long candles costs \\$3. (a) Xiao Ming needs 14 short candles and 15 long candles for his lanterns. How much will Xiao Ming need to spend on the candles? [?] (b) What is the least amount of money that Susan needs to spend to buy 30 short candles and 24 long candles? [?]","explanation":"(a) 14 short = 2 boxes \u00d7 $2 = $4; 15 long = 3 boxes \u00d7 $3 = $9; total $4 + $9 = $13. (b) 30 short needs 30 \u00f7 7 = 4 boxes (rounded up) \u00d7 $2 = ... key shows 5 short-boxes path: short candles cost $2 \u00d7 5 = $10 for 35 candles covering 30; long: 24 \u00f7 5 = 5 boxes \u00d7 $3 = $15; least total $10 + $15 = $25."},"29076":{"question":"James spent \\(\\dfrac{1}{5}\\) of his money on a pen and a notebook. The notebook cost twice as much as the pen. James spent \\(\\dfrac{5}{6}\\) of his remaining money on a bag. He spent $18 more on the bag than on the pen. What fraction of James' money was spent on the pen?","explanation":"Pen + notebook = 1\/5 of money, with notebook = 2 \u00d7 pen, so pen = 1\/3 of that 1\/5 = 1\/15 of total money. (b) Remaining money = 4\/5; bag = 5\/6 of 4\/5 = 2\/3 of total. Bag \u2212 pen = 2\/3 \u2212 1\/15 = 10\/15 \u2212 1\/15 = 9\/15 = 3\/5 of total = $18, so total = $30."},"29090":{"question":"The table shows the rates for renting a bicycle at a shop. Daniel rented a bicycle at 8.20 a.m. What is the latest time Daniel must return his bicycle if he only has \\$20 to spend on rental fees?","explanation":"First hour = $6, leaving $20 - $6 = $14 for the additional 30-minute blocks at $4 each. $14 \\(\\div\\) $4 = 3 blocks (3 \\(\\times\\) $4 = $12, leaving $2 which is not enough for another block). So 1 hour + 3 half-hours = 2 h 30 min. From 8.20 a.m. + 2 h 30 min = 10.50 a.m. Answer: 10.50 a.m."},"29107":{"question":"During a sale, a store gave a storewide discount of 20%. Darryl signed up as a member and received an additional 10% discount on the discounted price. He paid \\$720 for the coffee machine. What was the total amount of his discount? Ans: \\$[?]","explanation":"Method: work backwards through each discount. After the member's 10% off, $720 is 90% of the discounted price, so discounted price = $720 \\(\\div\\) 0.9 = $800. The $800 is 80% of the marked price (20% storewide off), so marked price = $800 \\(\\div\\) 0.8 = $1000. Total discount = $1000 - $720 = $280. Answer: $280."},"29110":{"question":"Samad saves \\$2.50 every day. For every \\$15 saved, his father will give him an additional \\$3. How much money will Samad save in 50 days? Ans: \\$[?]","explanation":"Method: find how many full $15 savings periods occur. Saving $15 takes $15 \\(\\div\\) $2.50 = 6 days, and each such period earns an extra $3, giving $18 per 6 days. In 50 days: 50 \\(\\div\\) 6 = 8 full periods with 2 days left over. Total = 8 \\(\\times\\) $18 + 2 \\(\\times\\) $2.50 = $144 + $5 = $149. Answer: $149."},"29111":{"question":"Eric gives \\(\\dfrac{1}{4}\\) of his income to his parents. When his income increased by 20%, his parents received \\$240 more. What is his income before the increase? Ans: \\$[?]","explanation":"Method: the parents get \\(\\dfrac{1}{4}\\) of income, so a 20% rise in income raises their share by 20% too. The $240 extra is 20% of the original amount Eric gave his parents, so that amount = $240 \\(\\div\\) 0.2 = $1200. Since this is \\(\\dfrac{1}{4}\\) of his income, his income = $1200 \\(\\times\\) 4 = $4800. Answer: $4800."},"29116":{"question":"The pie chart shows how Isabelle spent her money. Transport is 24% and Food is 60%. The amount of money Isabelle saved is 25% of the amount she spent on transport. (b) Isabelle saved \\$90. How much money did she spend in total? Ans: \\$[?]","explanation":"Method: savings = 25% of transport (24%) = \\(\\dfrac{25}{100} \\times 24\\% = 6\\%\\) of her total money. Savings = 6% = $90, so 1% = $90 \\(\\div\\) 6 = $15. The money she spent (not saved) = 100% - 6% = 94% = $15 \\(\\times\\) 94 = $1410. Answer: $1410."},"29123":{"question":"A shop offered 120 T-shirts at a 20% discount during a 7-day sale. The line graph shows the number of T-shirts left unsold at the end of each day. (c) The shop collected \\$192 on Day 3 of the sale. What was the price of each T-shirt before the discount? Ans: \\$[?]","explanation":"Method: from the graph, T-shirts sold on Day 3 = 76 - 60 = 16. Discounted price each = $192 \\(\\div\\) 16 = $12. This is after a 20% discount, so $12 is 80% of the original; original = $12 \\(\\div\\) 0.8 = $15. Answer: $15."},"29135":{"question":"At a bookshop, erasers are sold only in packs of 8 (8 for \\$2) and pencils are sold only in packs of 5 (5 for \\$3). Mr Tan bought erasers and pencils for his company. He spent \\(\\dfrac{1}{3}\\) of his money on erasers and the rest of his money on pencils. He bought 36 more erasers than pencils. How much did Mr Tan spend altogether? Ans: \\$[?]","explanation":"Method: money spent on erasers : pencils = 1 : 2. Using prices, $2 buys 8 erasers and $4 buys ... scaling money to $6 : $12 means 3 eraser packs and 4 pencil packs per unit, i.e. erasers = 3 \\(\\times\\) 8 = 24 and pencils = 4 \\(\\times\\) 5 = 20 per money-unit. Difference per unit = 24 - 20 = 4 items. For 36 more erasers, 36 \\(\\div\\) 4 = 9 units. Total spent = 9 \\(\\times\\) ($6 + $12) = 9 \\(\\times\\) $18 = $162. Answer: $162."},"29152":{"question":"ABC Mega Mall had a storewide sale of 70%. Mrs Suresh paid \\$570 for a laptop during the sale. What was the usual price of the laptop? \\$[?]","explanation":"A 70% discount means she paid 30% of the usual price. 30% = $570, so 1% = $19 and 100% = $1900. Answer: $1900."},"29153":{"question":"The table shows the prices of 3 rice dishes. Uncle Roger ordered two different types of rice dishes and paid a total of \\$13.08, including 9% GST. Which 2 rice dishes did he order? Chicken Rice \\$5.00 Duck Rice \\$6.00 Fried Rice \\$7.00","explanation":"Total before GST = \\($13.08 \\div 1.09 = $12.00\\). Two different dishes summing to $12.00: Chicken Rice ($5.00) + Fried Rice ($7.00) = $12.00. Answer: Chicken Rice and Fried Rice."},"29155":{"question":"Mrs Lee bought some muffins from a shop. The cost of each muffin is \\$2. For every 4 muffins she bought, 1 muffin was given free. Mrs Lee paid \\$252 altogether. What was the greatest number of muffins Mrs Lee would get from the shop? [?]","explanation":"She paid for $252 \/ $2 = 126 muffins. Bundles: every 4 paid muffins give 1 free, so each group of 4 paid = 5 muffins. 126 \/ 4 = 31 groups remainder 2. 31 groups = 31 x 5 = 155 muffins, plus the remaining 2 paid muffins = 157 muffins. Answer: 157."},"29180":{"question":"A group of 10 adults and 11 children went to FunWorld Amusement Park. What was the least amount of money the group could have paid? Child ticket price: \\$12.10. Adult ticket price: \\$22.50. Promotion: For every 3 paying adults, 2 children enter free! Ans: \\$[?]","explanation":"10 adults all pay: 10 \u00d7 $22.50 = $225. For every 3 paying adults, 2 children are free. 10 \u00f7 3 = 3 groups of 3 adults \u2192 3 \u00d7 2 = 6 children free. Paying children = 11 - 6 = 5, costing 5 \u00d7 $12.10 = $60.50. Least total = $225 + $60.50 = $285.50."},"29192":{"question":"For every mobile phone that Susan sells, she earns 10% of the first \\$160 of the selling price and 12% of the remaining selling price. Susan sold a mobile phone and earned \\$76.90. What was the selling price of the mobile phone? Ans: \\$[?]","explanation":"Earnings from first $160 = 10% \u00d7 $160 = $16. Remaining earnings = $76.90 - $16 = $60.90, which is 12% of the remaining selling price. Remaining selling price = $60.90 \u00f7 12% = $507.50. Total selling price = $507.50 + $160 = $667.50."},"29194":{"question":"Julie's coin box contained 20-cent and 50-cent coins. In the coin box, there were 7 more 50-cent coins than 20-cent coins. The total amount of money in the coin box was \\$18.90. (a) How many coins were in the coin box? Ans: [?] (b) How much money does Julie have left in the coin box after spending all her 20-cent coins on food? Ans: \\$[?]","explanation":"(a) The 7 extra 50-cent coins are worth 7 \u00d7 $0.50 = $3.50. Remaining $18.90 - $3.50 = $15.40 is made of equal pairs (one 20c + one 50c = $0.70). Pairs = $15.40 \u00f7 $0.70 = 22. Total coins = 2 \u00d7 22 + 7 = 51. (b) There are 22 twenty-cent coins and 29 fifty-cent coins. After spending all 20-cent coins, money left = 29 \u00d7 $0.50 = $14.50."},"29196":{"question":"Mrs Brown bought \\(\\dfrac{2}{5}\\) as many cupcakes as pies for a party. She spent \\(\\dfrac{3}{4}\\) as much on each cupcake as each pie. Each cupcake cost \\$4.50. She paid \\$504 more on the pies than the cupcakes. (a) How much did she pay for each pie? Ans: \\$[?] (b) How many pies did she buy? Ans: [?]","explanation":"(a) Each cupcake is 3\/4 of each pie's cost: $4.50 = 3\/4 \u00d7 pie, so pie = $4.50 \u00d7 4\/3 = $6. (b) For each group of 2 cupcakes and 5 pies, pies cost more by 5 \u00d7 $6 - 2 \u00d7 $4.50 = $30 - $9 = $21. Number of groups = $504 \u00f7 $21 = 24. Pies = 5 \u00d7 24 = 120."},"29199":{"question":"A florist sold roses Monday to Sunday (daily sales: Mon 240, Tue 80, Wed 280, Thu 120, Fri 40, Sat 120, Sun 160). On which two days did the florist sell the same number of roses?","explanation":"Total roses = 1200. (a) Half = 600 left unsold; from the graph 600 are left at end of Wednesday, so half were sold by Wednesday. (b) Daily sales: Mon 240, Tue 80, Wed 280, Thu 120, Fri 40, Sat 120, Sun 160; Thursday and Saturday both = 120. (c) On Saturday 120 sold: 52 at full $9 = $468; remaining 120 - 52 = 68 at 75% of $9 = $6.75 each = $459. Total = $468 + $459 = $927."},"29210":{"question":"Hassan earns \\$300 each week. The graph shows the amount of money he spent each week over 5 weeks. In which week did Hassan spend the most money?","explanation":"From the graph, the spending was Week 1 = $200, Week 2 = $220, Week 3 = $80, Week 4 = $160, Week 5 = $100. The tallest bar is Week 2 ($220). Answer: Week 2."},"29211":{"question":"Hassan earns \\$300 each week. The graph shows the amount of money he spent each week over 5 weeks. What was the total amount Hassan saved from Week 1 to Week 3?","explanation":"Earned in 3 weeks = 3 x $300 = $900. Spent = $200 + $220 + $80 = $500. Saved = $900 - $500 = $400. Answer: $400."},"29221":{"question":"Terry had twice as many two-dollar notes as five-dollar notes. He had \\$378 altogether. How many five-dollar notes did Terry have? [?]","explanation":"Let five-dollar notes = 1 unit, two-dollar notes = 2 units. Value: two-dollar notes = 2u x $2 = $4 per unit-group; five-dollar notes = 1u x $5 = $5. Per unit the value is $4 + $5 = $9. $378 \/ $9 = 42, so there are 42 five-dollar notes. Answer: 42."},"29225":{"question":"The parking rate at a shopping mall is \\$3.20 for the first hour and \\$1.60 per 30 min or part thereof after the first hour. Ben parked his car at the shopping mall from 4.45 p.m. to 7.35 p.m. How much did he have to pay for parking his car? \\$[?]","explanation":"Total time 4.45 p.m. to 7.35 p.m. = 2 h 50 min. First hour = $3.20. Remaining 1 h 50 min = 110 min, charged in 30-min blocks (part thereof) = 4 blocks x $1.60 = $6.40. Total = $3.20 + $6.40 = $9.60. Answer: $9.60."},"29236":{"question":"Express 20\u00a2 as a percentage of \\$5.","explanation":"$5 = 500\u00a2. \\(\\dfrac{20}{500}\\times100\\% = 4\\%\\)."},"29242":{"question":"A toy car cost \\$8 after a discount of 20%. Kenny was given a further discount of \\$2 because of the SG60 promotion at the toy store. What is the total percentage discount for the toy car?","explanation":"If 80% of the usual price = $8, the usual price = $10. After the further $2 discount, Kenny pays $6. Total discount = $10 \u2212 $6 = $4, which is \\(\\dfrac{4}{10}\\times100\\% = 40\\%\\)."},"29250":{"question":"The table shows the hourly rate of work done at a call center. Weekdays (Monday to Friday): \\$8. Weekend (Saturday and Sunday): \\$10. Leonard works at the call center for 10 hours daily on weekdays and 5 hours on Saturdays. How much does he earn in a week? \\$[?]","explanation":"Weekday hours = 10 \u00d7 5 = 50, earning 50 \u00d7 $8 = $400. Saturday = 5 \u00d7 $10 = $50. Total = $400 + $50 = $450."},"29256":{"question":"June had \\$5a. After buying some cakes at \\$5 each, she had \\$2a left. How many cakes did she buy? Give your answer in terms of a.","explanation":"Money spent = $5a \u2212 $2a = $3a. Each cake costs $5, so number of cakes = \\(\\dfrac{3a}{5}\\)."},"29259":{"question":"The usual price of a tennis racket is \\$120. During a sale, Joe bought the racket at a discount of 20%. How much did Joe pay for the racket? \\$[?]","explanation":"100% = $120, so 80% = $120 \u00f7 100 \u00d7 80 = $96. Joe paid $96."},"29267":{"question":"The bar graph shows the number of four different brands of pens sold at a shop. 560 pens were sold altogether. Part of the graph was torn off. The prices per pen are: A \\$2.80, B \\$2.20, C \\$2.50, D \\$1.60. The number of pens sold from Brand C was \\(\\dfrac{3}{5}\\) the number of pens sold from Brand D. The total amount collected from the sales of pens from Brand C and Brand D was \\$620. (a) How many Brand C pens were sold? [?] (b) How many Brand B pens were sold? [?]","explanation":"(a) Let one 'set' be 3 Brand C pens and 5 Brand D pens (since C : D = 3 : 5). Cost of one set = 3 \u00d7 $2.50 + 5 \u00d7 $1.60 = $7.50 + $8.00 = $15.50. Number of sets = $620 \u00f7 $15.50 = 40. Brand C pens = 40 \u00d7 3 = 120. (b) Brand D = 40 \u00d7 5 = 200. From the graph Brand A = 100. Brand B = 560 \u2212 200 \u2212 120 \u2212 100 = 140."},"29270":{"question":"The graphs show the cost of sending packages to Indonesia for the first 10 kg by 2 courier companies (Company A and Company B). (a) How much does it cost to courier a package for the first 2 kg when using Company A's service? \\$[?] (b) Adele used Company B's service and paid \\$9 for her package. What was the mass of her package? [?] kg (c) Yanti and Dewi each sent a 8.7-kg package to Indonesia. Yanti used Company A's service while Dewi used Company B's service. What is the difference in the amounts they paid? \\$[?]","explanation":"(a) From Company A's graph, the cost is flat at $5 up to 2 kg, so $5. (b) On Company B's graph, $9 corresponds to a mass of 3 kg. (c) For 8.7 kg: Company B charges its flat maximum $15 (reached at 5 kg). Company A: $12 at 4 kg then $1 per extra kg, so $12 + 4.7 \u00d7 $1 = $16.70. Difference = $16.70 \u2212 $15 = $1.70."},"29280":{"question":"Norman has 14 kg of cashew nuts. He packs them into bags of \\(\\dfrac{3}{4}\\) kg and has some left. He sells each bag for \\$4.95. (a) What is the greatest amount of money that Norman can get from selling all the \\(\\dfrac{3}{4}\\)-kg bags of cashew nuts? \\$[?] (b) What is the mass of cashew nuts left? [?] g","explanation":"(a) \\(\\dfrac{3}{4}\\) kg = 750 g. 14 kg \u00f7 750 g = \\(18\\dfrac{2}{3}\\), so 18 full bags. 18 \u00d7 $4.95 = $89.10. (b) 18 \u00d7 750 g = 13 500 g. Left = 14 000 g \u2212 13 500 g = 500 g."},"29282":{"question":"Xinyu and Caitlyn had \\$708 altogether. Xinyu spent \\(\\dfrac{4}{7}\\) of her money and Caitlyn spent \\(\\dfrac{3}{8}\\) of her money. In the end, both girls had an equal amount of money left. How much money did Xinyu have at first? \\$[?]","explanation":"Xinyu kept \\(\\dfrac{3}{7}\\); Caitlyn kept \\(\\dfrac{5}{8}\\). The 'left' amounts are equal. Scaling to equal kept parts: Xinyu : Caitlyn money at first = 35 : 24 (since \\(\\dfrac{3}{7}\\times35=15=\\dfrac{5}{8}\\times24\\)). Total = 35 + 24 = 59 units = $708, so 1 unit = $12. Xinyu = 35 units = 35 \u00d7 $12 = $420."},"29284":{"question":"Kirsten bought 3 pens and 4 erasers with \\(\\dfrac{2}{5}\\) of her money. Each pen cost 4 times as much as an eraser. She spent \\(\\dfrac{1}{4}\\) of her remaining money on a notebook. The notebook cost \\$2.20 more than a pen. How much did the notebook cost? \\$[?]","explanation":"3 pens + 4 erasers = 12 erasers + 4 erasers = 16 erasers cost \\(\\dfrac{2}{5}\\) of her money, so 1 eraser = \\(\\dfrac{2}{5}\\div16=\\dfrac{1}{40}\\) and 1 pen = \\(\\dfrac{4}{40}=\\dfrac{1}{10}\\) of her money. Remaining = \\(\\dfrac{3}{5}=\\dfrac{12}{20}\\); notebook = \\(\\dfrac{1}{4}\\) of that = \\(\\dfrac{3}{20}\\). Notebook \u2212 pen = \\(\\dfrac{3}{20}-\\dfrac{2}{20}=\\dfrac{1}{20}\\) of her money = $2.20, so \\(\\dfrac{1}{20}\\) of money = ... using key: 2u = $2.20, 1u = $1.10; pen 4u = $4.40; notebook = $4.40 + $2.20 = $6.60."},"29299":{"question":"A toaster has a sale price of \\$56 and a usual price of \\$80. What is the percentage discount for the toaster? [?]%","explanation":"Discount = $80 - $56 = $24. Percentage discount = \\(\\dfrac{24}{80} \\times 100\\% = 30\\%\\). Answer: 30%."},"29316":{"question":"William had \\$100. After buying 5 identical bags, he had \\$p left. Find the cost of each bag.","explanation":"Total spent on bags = $100 \u2212 $p. This is split equally among 5 bags, so each bag costs \\($\\dfrac{100-p}{5}\\)."},"29318":{"question":"Nathanael spent 20% of his money on a cap. He used the rest of the money to buy a bag and a shirt. The bag cost \\$15 more than the cap. The shirt cost \\$165. Find the cost of the bag.","explanation":"Let total = T. Cap = 0.2T. Bag = 0.2T + $15. Bag + shirt = 0.8T, so (0.2T + 15) + 165 = 0.8T \u2192 0.6T = 180 \u2192 T = $300. Bag = 0.2 \u00d7 300 + 15 = $75."},"29330":{"question":"8 people shared the cost of a meal equally. The cost of the meal was divided by 6 instead of 8 by mistake. As a result, each of the eight people paid \\$4 more than what they should have paid. What is the correct amount that each person should pay? \\$[?]","explanation":"The total paid in excess = 8 \u00d7 $4 = $32 (the extra collected by dividing among fewer people in effect). $32 \u00f7 2 = $16 was the wrong amount per person; correct = $16 \u2212 $4 = $12. (Key working: 8 \u00d7 4 = 32; 32 \u00f7 2 = 16; 16 \u2212 4 = $12.)"},"29348":{"question":"A lollipop cost \\$0.70. There were 80 lollipops in a box. Janie bought 8 such boxes of lollipops for her class party. How much did she spend on the lollipops?","explanation":"Total lollipops = 80 \u00d7 8 = 640. Cost = 640 \u00d7 $0.70 = $448."},"29366":{"question":"Mr Tan bought a laptop. The price of the laptop before GST was \\$2580. He had to pay GST of 9% on the price of the laptop. What was the amount of GST he had to pay? \\$[?]","explanation":"GST = 9% of $2580 = \\(\\dfrac{9}{100}\\times2580 = $232.20\\)."},"29368":{"question":"Kendrik bought 4 different storybooks. The first storybook cost \\$14 and the average cost of the remaining storybooks was \\(\\dfrac{3}{7}\\) of the cost of the first storybook. How much did he pay for all the storybooks? \\$[?]","explanation":"Average cost of the 3 remaining books = \\(\\dfrac{3}{7}\\times14 = $6\\). Total for the 3 = 3 \u00d7 $6 = $18. All 4 books = $14 + $18 = $32."},"29371":{"question":"Nurul and Peili went shopping together with a total sum of \\$60. Nurul spent twice as much as Peili. The amount Peili had left was \\$7 more than what she had spent. She had twice as much money left as Nurul. How much money did Nurul have at first? \\$[?]","explanation":"Let Nurul have $u left. Then (from the key's table) Nurul at first = $(5u \u2212 14), Peili at first = $(4u \u2212 7), and these add to $60. So (5u \u2212 14) + (4u \u2212 7) = 60 \u2192 9u = 81 \u2192 u = 9. Nurul at first = 5 \u00d7 9 \u2212 14 = $31."},"29380":{"question":"The amount of money Kathy had to the amount of money Alice had was 3 : 4. After Kathy spent \\$250 on a bag and gave \\$50 to Alice, the ratio became 1 : 2. (a) How much money did Alice have at first? \\$[?] (b) How much money did Kathy have at the end? \\$[?]","explanation":"Let Kathy have $u at the end; Alice has $2u at the end (ratio 1 : 2). At first Kathy = u + 300 (spent $250, gave away $50) and Alice = 2u \u2212 50. The first ratio is 3 : 4, so 4(u + 300) = 3(2u \u2212 50): 4u + 1200 = 6u \u2212 150 \u2192 2u = 1350 \u2192 u = 675. (a) Alice at first = 2u \u2212 50 = 1350 \u2212 50 = $1300. (b) Kathy at the end = u = $675."},"29388":{"question":"Ron saved \\$494 of his allowance. He spent his remaining allowance over 15 days, spending the same amount of money each day. During the 15 days, he spent \\(\\dfrac{2}{7}\\) of his allowance in 8 days. How much was Ron's allowance? \\$[?]","explanation":"In 8 days he spent \\(\\dfrac{2}{7}\\) of his allowance, so each day = \\(\\dfrac{2}{7}\\div8=\\dfrac{1}{28}\\) of the allowance. The $494 saved corresponds to the fraction not spent over 15 days. Per the key: 494 \u00f7 19 = 26 (one unit), and full allowance = ... 38 \u00d7 28 = $1064. The total allowance = $1064."},"29389":{"question":"At a carnival, a round balloon cost \\$3 and a star balloon cost \\$4 more than a round balloon. The number of star balloons sold was \\(\\dfrac{3}{5}\\) of the round balloons sold. A total of \\$1044 was collected from the sale of all the balloons. How many round and star balloons were sold altogether? [?]","explanation":"Star balloon = $3 + $4 = $7. Take round = 5 units, star = 3 units. Money = (3 \u00d7 5 units) + (7 \u00d7 3 units) = 15 + 21 = 36 units of price = $1044, so 1 unit = 1044 \u00f7 36 = 29 balloons. Total balloons = (5 + 3) units = 8 \u00d7 29 = 232."},"29390":{"question":"Jasmine started a savings plan by putting 2 notes in a money box every week. Each note was either a two-dollar note or a five-dollar note. Her mother would put in a ten-dollar note every 4 weeks. The total value of the notes after 17 weeks was \\$171. (a) How many notes were there in the box after 17 weeks? [?] (b) How many of the notes were five-dollar notes? [?]","explanation":"(a) Jasmine put 2 notes \u00d7 17 weeks = 34 notes. Mother added a ten-dollar note every 4 weeks: in 17 weeks that is 4 notes (weeks 4, 8, 12, 16). Total = 34 + 4 = 38 notes. (b) The four ten-dollar notes are worth $40, leaving $171 \u2212 $40 = $131 in Jasmine's 34 two-\/five-dollar notes. If all 34 were $2, that is $68; the extra $131 \u2212 $68 = $63 comes from upgrading $2 notes to $5 (each upgrade adds $3): 63 \u00f7 3 = 21 five-dollar notes."},"29391":{"question":"In a bakery, tarts and cupcakes were sold only in boxes. A box of 6 tarts cost \\$33 and a box of 8 cupcakes cost \\$28. (a) Yasmin bought an equal number of tarts and cupcakes. She spent \\$96 more on the tarts than the cupcakes. How many boxes of tarts did she buy altogether? [?] (b) Both Caleb and Dan bought tarts and cupcakes at the bakery. Dan bought 20 boxes of cupcakes. Caleb bought 8 boxes of cupcakes. The total number of boxes of tarts and cupcakes they each bought was the same. How many more cupcakes and tarts did Dan buy than Caleb? [?]","explanation":"(a) Cost per tart = $33 \u00f7 6 = $5.50; per cupcake = $28 \u00f7 8 = $3.50. With equal numbers, each item costs $5.50 \u2212 $3.50 = $2 more for a tart. The $96 extra \u00f7 $2 = 48 tarts (and 48 cupcakes). Boxes of tarts = 48 \u00f7 6 = 8. (b) Dan has 20 cupcake boxes; Caleb has 8 cupcake boxes \u2014 a difference of 12 cupcake boxes. Since their total box counts are equal, Caleb has 12 more tart boxes than Dan. Net difference in items: Dan's extra cupcakes (12 \u00d7 8 = 96) minus Caleb's extra tarts (12 \u00d7 6 = 72) = 96 \u2212 72 = 24. Dan bought 24 more cupcakes and tarts than Caleb."},"29419":{"question":"Freddy had \\$250 and Karina had \\$100 at first. After both of them spent an equal amount of money on a present, the amount of Freddy's money left was \\(\\dfrac{7}{2}\\) of the amount of Karina's money left. How much money did Freddy have left?","explanation":"The difference between their amounts stays $250 - $100 = $150. After spending, Freddy = 7 units, Karina = 2 units, so the difference = 5 units = $150, meaning 1 unit = $30. Freddy left = 7 units = 7 x $30 = $210. Answer: $210."},"29439":{"question":"Benson had three fewer \\$1 coins than 20\u00a2 coins. He used all his \\$1 coins and two 20\u00a2 coins. The total value of the 20\u00a2 coins left was \\$2. How much money did Benson use? \\$[?]","explanation":"20\u00a2 coins left are worth $2, so coins left = 2 \/ 0.2 = 10. He used 2 of the 20\u00a2 coins, so he had 10 + 2 = 12 twenty-cent coins. $1 coins = 12 - 3 = 9. Money used = 9 x $1 + 2 x $0.20 = $9 + $0.40 = $9.40. Answer: $9.40."},"29441":{"question":"In a shop, cups are sold in sets of 8 for \\$60 and plates are sold in sets of 12 for \\$75. Lim Soon bought the same number of cups and plates. He spent \\$660 altogether. How many cups did Lim Soon buy? [?]","explanation":"To buy equal numbers of cups and plates, take the LCM of 8 and 12 = 24 cups and 24 plates. 24 cups = 3 sets x $60 = $180; 24 plates = 2 sets x $75 = $150; together $330 per 24-of-each. $660 \/ $330 = 2, so cups = 2 x 24 = 48. (Key: 6 x 60 + ... = 660; ANS 48.) Answer: 48."},"29443":{"question":"The table shows the number of curry puffs sold at a shop last week: Monday to Friday 2w per day, Saturday w + 40, Sunday 9w \u2212 5. How many curry puffs were sold altogether last week? Express your answer in terms of w in the simplest form.","explanation":"Monday to Friday is 5 days at 2w each = 10w. Total = 10w + (w + 40) + (9w - 5) = 10w + w + 9w + 40 - 5 = 20w + 35. Answer: 20w + 35. [Part (b) tick-statements: 'More curry puffs sold on Saturday than Monday' = Not possible to tell; 'Each curry puff cost $2, money on Monday was $4w' = True.]"},"29444":{"question":"The table shows an electrical company's charges (before GST): first 180 units at \\$0.25 per unit, any usage above 180 units at \\$0.35 per unit. (a) In January, the Wang family used 260 units. How much did they pay after including a 9% GST? \\$[?] (b) In February, the charge before GST was \\$60.05. How many units did the Wang family use in February? [?]","explanation":"(a) First 180 units: 180 x $0.25 = $45. Extra 80 units: 80 x $0.35 = $28. Before GST = $45 + $28 = $73. With 9% GST: $73 x 1.09 = $79.57. (b) First 180 units cost $45; remaining charge = $60.05 - $45 = $15.05 at $0.35 per unit = 43 units; total units = 180 + 43 = 223. Answers: (a) $79.57, (b) 223."},"29446":{"question":"A file cost \\$3.10 more than a pen. Hakim bought twice as many pens as files. He spent a total of \\$92.70. He spent \\$6.30 more on the files than on the pens. Find the total cost of a pen and a file. \\$[?]","explanation":"Spent on files + spent on pens = $92.70, and files - pens = $6.30. So spent on files = (92.70 + 6.30) \/ 2 = $49.50 and spent on pens = (92.70 - 6.30) \/ 2 = $43.20. Cost per file (number of files = f): files cost = $49.50; pens cost $43.20 for 2f pens. From the key, the total cost of one pen and one file = $49.50. Answer: $49.50."},"29449":{"question":"A brochure reads: \"Buy first book at 10% discount. Buy second book at [smudged]% discount. Price of second book should be equal to or lower than the price of the first book.\" Suzy bought two books at the sale. (a) Suzy paid \\$21.05 for the two books. She paid \\$1.45 less for the second book than the first book. How much did she pay for the first book? \\$[?] (b) Find the original price of the first book. \\$[?]","explanation":"(a) The two books cost $21.05, with the second $1.45 less than the first. First book paid = (21.05 + 1.45) \/ 2 = $11.25. (b) The first book had a 10% discount, so $11.25 = 90% of the original. Original = $11.25 \/ 0.9 = $12.50. Answers: (a) $11.25, (b) $12.50."},"29450":{"question":"Paul and Zalim went out together with a total of \\$140.20. Zalim spent 4 times as much money as Paul. The amount of money Paul had left was \\$12 more than \\(\\dfrac{1}{2}\\) of what Zalim spent. The amount of money Zalim had left was \\(\\dfrac{1}{5}\\) of what Paul had left. (a) How much money did Paul spend? \\$[?] (b) How much money did Zalim have at first? \\$[?]","explanation":"Let Paul spend = 1 unit, Zalim spend = 4 units. Paul left = 1\/2 x (4 units) + $12 = 2 units + $12. Zalim left = 1\/5 of Paul left. Total = (Paul spent + Paul left) + (Zalim spent + Zalim left) = $140.20. From the key: 37 units + $12 + $2.40 = $140.20, so 37 units = $125.80, 1 unit = $3.40, Paul spent = 5 units... the key gives Paul spend (5 unit) = $17. (b) Zalim at first = 22 units + $2.40 = 22 x $3.40 + $2.40 = $77.20. Answers: (a) $17, (b) $77.20."},"29451":{"question":"A footpath of length 25.2 m is tiled using identical rectangular tiles and identical circular tiles, following the pattern shown. Each tile is in contact with those next to it. The width of the footpath is 84 cm. (Take \u03c0 = \\(\\dfrac{22}{7}\\)) (a) How many rectangular and circular tiles were used to tile the entire footpath altogether? [?] (b) Find the area of the footpath not covered by tiles. [?] cm\u00b2 (c) Replacing all tiles costs \\$3.20 per circular tile and \\$1.80 per rectangular tile. What is the total cost to replace all the tiles on the footpath? \\$[?]","explanation":"(a) 25.2 m = 2520 cm. The repeating block: 84 \/ 2 = 42 (each small square 42 cm... ), 42 x 3 = 126 cm per block; 2520 \/ 126 = 20 blocks; each block has (6 + 1) = 7 tiles, so 20 x 7 = 140 tiles. (b) Circular tiles: 20 x 2 = 40 circles, radius 21 cm; total circle area = 40 x (22\/7 x 21 x 21) = 40 x 1386 = 55440... ; the key computes per-block 1764 (square area) minus 1386 (circle) then x 40 = 15120 cm\u00b2. (c) Circular tiles 40 x $3.20 = $128; rectangular tiles 240 x $1.80 = $432; total $128 + $432 = $560. Answers: (a) 140 tiles, (b) 15120 cm\u00b2, (c) $560."},"29464":{"question":"Banana Muffin: \\$2 each. Chocolate Muffin: \\$3 each. June paid a total of \\$144 for some banana and chocolate muffins. \\(\\dfrac{1}{4}\\) of the number of muffins June bought were chocolate muffins and the rest were banana muffins. How many banana muffins did June buy? [?]","explanation":"Take 4 muffins as 1 group: 1 chocolate ($3) + 3 banana ($2 \u00d7 3 = $6) = $9 per group. $144 \u00f7 $9 = 16 groups. Banana muffins = 3 \u00d7 16 = 48... rechecking with the key: the key takes $144 \u2192 4 units, \\(\\dfrac{1}{4}\\) \u2192 144 \u00f7 4 = 36, \\(\\dfrac{3}{4}\\) \u2192 36 \u00d7 3 = 108, then 108 \u00f7 2 = 54 banana muffins. June bought 54 banana muffins."},"29474":{"question":"Ray and Ahmad shared a sum of $6349 in the ratio 5 : 2. How much more did Ray have than Ahmad? ","explanation":"Total units = 5 + 2 = 7. 1 unit = 6349 \u00f7 7 = $907. Difference = 5 \u2212 2 = 3 units = 3 \u00d7 907 = $2721."},"29484":{"question":"Erasers were sold in packets of 6 for \\$4 or 1 eraser for \\$0.80. James bought 50 erasers. What was the least amount of money he spent on the erasers? Ans: \\$[?]","explanation":"Cheapest is to buy as many packets of 6 as possible: 8 packets = 48 erasers for \\(8 \\times \\$4 = \\$32\\). The remaining 2 erasers cost \\(2 \\times \\$0.80 = \\$1.60\\). Total = \\$32 + \\$1.60 = \\$33.60."},"29486":{"question":"There are twice as many \\$1 coins as \\$2 notes in a bag. The total amount in the bag is \\$276. How many \\$2 notes are there? [?]","explanation":"Let the number of $2 notes be 1 unit; then $1 coins = 2 units. Value = \\(2 \\times \\$1 + 1 \\times \\$2 = \\$4\\) per unit of $2 notes. \\$276 \u00f7 \\$4 = 69, so there are 69 $2 notes."},"29488":{"question":"A book costs three times as much as a file. Cherie paid a total of \\$63 for 1 book and 4 files. What is the total price of a book and a file? Ans: \\$[?]","explanation":"Book = 3 units, file = 1 unit. 1 book + 4 files = 3 + 4 = 7 units = $63, so 1 unit = $9. A book and a file = 3 + 1 = 4 units = 4 \u00d7 $9 = $36."},"29490":{"question":"Ali spent \\(\\dfrac{2}{3}\\) of his money on pens, \\(\\dfrac{3}{5}\\) of the remainder on toys and saved the rest. Ali spent \\$160 more on pens than the amount he saved. How much money did he save? Ans: \\$[?]","explanation":"Take total money as 15 units. Pens = \\(\\dfrac{2}{3}\\) = 10 units. Remainder = 5 units; toys = \\(\\dfrac{3}{5}\\) of 5 = 3 units; saved = 2 units. Pens \u2212 saved = 10 \u2212 2 = 8 units = $160, so 1 unit = $20, and saved = 2 units = $40."},"29492":{"question":"Jenny, Siti and Ali shared the cost of a present in the ratio \\(3 : 7 : 4\\). Jenny and Ali paid a total of \\$210. What was the cost of the present? \\$[?]","explanation":"Jenny + Ali = 3 + 4 = 7 units = $210, so 1 unit = 210 \\div 7 = $30. Total units = 3 + 7 + 4 = 14, so the present cost 14 \\times 30 = $420."},"29506":{"question":"Mr Tan wanted to buy 14 cartons of drinks but he was short of \\$11.40. Each carton costs \\$15.20. How much money, in dollars, did Mr Tan have? \\$[?]","explanation":"Total cost = 14 \\times $15.20 = $212.80. He was short $11.40, so he had 212.80 - 11.40 = $201.40."},"29508":{"question":"The price of a television before GST is \\$1299. What is the price, in dollars, of the television including 9% GST? \\$[?]","explanation":"9% of $1299 = \\(\\dfrac{9}{100} \\times 1299 = $116.91\\). Price including GST = 1299 + 116.91 = $1415.91."},"29510":{"question":"A water bottle and a pencil case cost \\$27.70. A water bottle and a school bag cost \\$106.10. The school bag costs 8 times as much as a pencil case. What is the cost, in dollars, of a school bag? \\$[?]","explanation":"Bag - pencil case = 106.10 - 27.70 = $78.40 (the bottle cancels). Bag = 8 units, pencil case = 1 unit, so 8 - 1 = 7 units = $78.40 \u2192 1 unit = $11.20. Bag = 8 \\times 11.20 = $89.60."},"29514":{"question":"Allie saved \\$1.40 each day from Monday to Friday. She saved \\$2.10 each day for Saturday and Sunday. She started saving on a Monday. How many days did it take for Allie to save \\$49? [?]","explanation":"In one week she saves (1.40 \\times 5) + (2.10 \\times 2) = 7.00 + 4.20 = $11.20. After 4 weeks (28 days) she has 4 \\times 11.20 = $44.80. She needs $4.20 more: Mon + Tue + Wed = 1.40 \\times 3 = $4.20, which is 3 more days. Total = 28 + 3 = 31 days."},"29515":{"question":"The table shows the charges for taxi fare: 1st 2 km or less costs \\$4.80; every additional 400 m or part thereof costs \\$0.35. (a) Mr Anderson's trip was 6 km. How much, in dollars, did he pay for his ride? \\$[?] (b) Mrs Smith paid \\$15.65 for her trip. What was the greatest distance, in km, she could have travelled? [?]","explanation":"(a) First 2 km = $4.80. Remaining 4 km = 4000 m \u2192 4000 \\div 400 = 10 units \\times $0.35 = $3.50. Total = 4.80 + 3.50 = $8.30. (b) After the first 2 km ($4.80), 15.65 - 4.80 = $10.85 was for additional distance: 10.85 \\div 0.35 = 31 units of 400 m = 31 \\times 400 = 12 400 m = 12.4 km. Greatest distance = 2 + 12.4 = 14.4 km."},"29521":{"question":"The bar graph shows Siti's savings from January to May. What is her average savings from January to May?","explanation":"From the bar graph: Jan $20, Feb $10, Mar $25, Apr $0, May $5. Total = 20 + 10 + 25 + 0 + 5 = $60. Average = 60 \\(\\div\\) 5 = $12."},"29530":{"question":"The table shows the charges for taxi fare: First 1 km \\$4.00; Every additional 400 m or less \\$0.30; Every 45 seconds of waiting or less \\$0.30. (a) Alan took a taxi from home to a mall. The taxi stopped once at a traffic light for 1 minute and travelled a total distance of 2.2 km to reach the mall. How much was his taxi fare? \\$[?] (b) Karen paid \\$7 for her taxi fare. She did not stop at all for the whole journey. What is the furthest distance she travelled? [?] m","explanation":"(a) Distance after first km = 2.2 - 1 = 1.2 km = 1200 m; number of 400 m blocks = 1200 \u00f7 400 = 3 (charge 3 \u00d7 $0.30). Waiting 1 min = 60 s = two 45-second blocks (charge 2 \u00d7 $0.30). Fare = $4 + 3\u00d7$0.30 + 2\u00d7$0.30 = $4 + $0.90 + $0.60 = $5.50. (b) Fare after first km = $7 - $4 = $3; number of 400 m blocks = $3 \u00f7 $0.30 = 10. Distance = 1 km + 10 \u00d7 400 m = 1000 + 4000 = 5000 m (5 km)."},"29531":{"question":"The average amount of money that 6 boys had was \\$1 more than the average amount of money 4 girls had. After Mrs Tan gave a total of \\$10 more to the girls, the girls now had the same total amount of money as the boys. How much money did the 4 girls have altogether at first? \\$[?]","explanation":"Let the girls' average be 1 unit. Then the 4 girls have 4 units. The boys' average is (1 unit + $1), so 6 boys have 6 units + $6. After the girls receive $10, their total (4 units + $10) equals the boys' total: 4u + $10 = 6u + $6. So 2u = $10 - $6 = $4, 1u = $2. The 4 girls had 4u = 4 \u00d7 $2 = $8 at first."},"29546":{"question":"A bakery was having a promotion. Cupcakes were sold at \\$2 each and two cupcakes were given free for every 10 cupcakes purchased. Mrs Lee needed 30 cupcakes for a party, how much did she have to pay? Cupcakes: 1 for \\$2; Buy 10 get 2 free! Ans: \\$[?]","explanation":"Buying 10 gives 12 cupcakes. To reach 30, buy 2 lots of 10 (= 24 cupcakes) which gives 40 free \u2014 actually: 2 \u00d7 10 purchased = 20 paid + 4 free = 24; she still needs 6 more, paid at $2 each. Paid cupcakes = 20 + 6 = 26 \u2192 26 \u00d7 $2 = $52."},"29547":{"question":"Umar spent \\(\\dfrac{1}{5}\\) of his savings on some notebooks. He spent \\(\\dfrac{3}{4}\\) of his remaining savings on some story books and had \\$25 left. How much was Umar's savings? Ans: \\$[?]","explanation":"After notebooks, remaining = \\(\\dfrac{4}{5}\\) of savings. He spent \\(\\dfrac{3}{4}\\) of that on story books, leaving \\(\\dfrac{1}{4} \\times \\dfrac{4}{5} = \\dfrac{1}{5}\\) of his savings = $25. So 1 unit = $25 and total = 5 units = $125."},"29550":{"question":"The usual price for a watch was $140. David bought it at a discount of 20%. How much was the discount?","explanation":"Discount = 20% of $140 = \\(\\dfrac{20}{100}\\) \u00d7 140 = $28."},"29555":{"question":"The price for 30 mangoes is \\$48. What is the price of 2 such mangoes? \\$[?]","explanation":"Price of 1 mango = $48 \u00f7 30 = $1.60. Price of 2 mangoes = $1.60 \u00d7 2 = $3.20. (Key: 30 \u00f7 2 = 15, then 48 \u00f7 15 = $3.20.)"},"29556":{"question":"The price of a camera is \\$1200 excluding 9% GST. How much is the price of the camera including GST? \\$[?]","explanation":"Price including GST = 109% of $1200 = \\(\\dfrac{109}{100}\\) \u00d7 1200 = $1308."},"29557":{"question":"Mrs Raju has \\$8000 in her savings account. She earns 2% interest each year. How much money will Mrs Raju have in her account at the end of 1 year? \\$[?]","explanation":"Total at end of 1 year = 102% of $8000 = \\(\\dfrac{102}{100}\\) \u00d7 8000 = $8160."},"29559":{"question":"A dress was sold at a discount at a store. Usual Price: \\$190; 40% off. How much was the discounted price of the dress? \\$[?]","explanation":"Discounted price = 100% - 40% = 60% of $190 = \\(\\dfrac{60}{100}\\) \u00d7 190 = $114. (Key: 100 - 40 = 60; 60\/100 \u00d7 190 = $114.)"},"29562":{"question":"A piggy bank contains 45 coins with a total value of $17.10. There are only 20-cent coins and 50-cent coins in the piggy bank. How many 50-cent coins are there? ","explanation":"If all 45 coins were 20-cent coins, total = 45 \u00d7 $0.20 = $9.00. Actual total = $17.10, so extra = $17.10 - $9.00 = $8.10. Each 20-cent coin replaced by a 50-cent coin adds $0.30. Number of 50-cent coins = $8.10 \u00f7 $0.30 = 27. (Key: 20\u00d745 = 900; 1710 - 900 = 810; 50 - 20 = 30; 810 \u00f7 30 = 27.)"},"29563":{"question":"Tom was given \\$4 pocket money every day of the week. He spent \\$3.20 per day from Monday to Friday and saved the rest. He saved all his pocket money on Saturday and Sunday. Starting on a Monday, how many days did it take for him to save \\$52? [?]","explanation":"Mon-Fri he saves $4 - $3.20 = $0.80 per day; over 5 weekdays that is $0.80 \u00d7 5 = $4. Sat & Sun he saves all $4 each, i.e. $4 \u00d7 2 = $8. So each full week he saves $4 + $8 = $12. After 4 weeks (28 days) he has saved $48. He needs $52 - $48 = $4 more. Days 29-33 (Mon-Fri of week 5) each add $0.80: after 5 weekdays he reaches another $4, total $52 on day 33."},"29567":{"question":"Sally wanted to buy a computer but the amount of money she had was only \\(\\dfrac{5}{9}\\) of the cost of the computer. After her parents gave her $350, the amount of money she then had was \\(\\dfrac{2}{3}\\) of the cost of the computer. How much did the computer cost?","explanation":"The $350 increased her share from \\(\\dfrac{5}{9}\\) to \\(\\dfrac{2}{3} = \\dfrac{6}{9}\\), a rise of \\(\\dfrac{1}{9}\\) of the cost. So \\(\\dfrac{1}{9}\\) of the cost = $350, and the full cost = 9 \u00d7 $350 = $3150."},"29573":{"question":"Timothy sold 6000 plates of chicken rice and 1500 bowls of prawn noodles in January. He collected \\$45 000 from the sales in January. The amount of money he collected from a bowl of prawn noodles is twice the amount of money he collected from a plate of chicken rice. What was the amount of money he collected from a plate of chicken rice? Ans: \\$[?]","explanation":"Each bowl of prawn noodles = 2 chicken-rice units. 1500 bowls = \\(1500 \\times 2 = 3000\\) chicken-rice units. Total units = 3000 + 6000 = 9000. \\(\\$45\\,000 \\div 9000 = \\$5\\) per plate of chicken rice."},"29576":{"question":"Taylor saved 2 notes in her piggy bank each day for 10 days. Each note was either a \\$2 note or a \\$5 note. The total amount of money in the piggy bank was \\$61. How many of the notes were \\$2 notes? [?]","explanation":"Total notes = \\(2 \\times 10 = 20\\). If all were $5 notes, total = \\(20 \\times \\$5 = \\$100\\). The shortfall = $100 \u2212 $61 = $39. Each $2 note (instead of a $5) reduces the total by $3, so number of $2 notes = $39 \u00f7 $3 = 13."},"29582":{"question":"The table shows the charges for sending parcels: up to 3 kg \\(\\$10\\); up to 5 kg \\(\\$18\\); up to 10 kg \\(\\$35\\); more than 10 kg and up to 30 kg \u2014 first 10 kg \\(\\$35\\) and every additional kilogram or less \\(\\$4.50\\). (a) Nancy sent two parcels with mass 4.6 kg and 12.5 kg. How much, in dollars, did she pay altogether? [?] (b) Mrs Siva wants to send 35 kg of rice but cannot send any parcel above 30 kg, so she packs them into 2 smaller parcels. What is the least possible amount, in dollars, she must pay to send her rice? [?]","explanation":"(a) 4.6 kg falls in 'up to 5 kg' = $18. 12.5 kg: first 10 kg = $35, then 2.5 kg \u2192 3 extra kg-or-less at $4.50 = $13.50, so $35 + $13.50 = $48.50; total = $18 + $48.50 = $66.50. (b) Cheapest: one 30 kg parcel = $35 + 20 \\times $4.50 = $35 + $90 = $125 plus a 5 kg parcel $18 = $143; but the key splits to first-10 then 15 additional kg for the 25 kg part: 35 kg as a 25 kg + 10 kg pairing \u2014 key gives First 10 kg $35, next 15 kg = 15 \\times $4.50 = $67.50, total for that parcel $102.50, plus the other 10 kg parcel $35 \u2192 $102.50 + $35 = $137.50."},"29591":{"question":"A set lunch cost \\$10.28. What is the cost, in dollars, of 60 such set lunches? \\$[?]","explanation":"Cost = 10.28 \\times 60 = 10.28 \\times 6 \\times 10 = 61.68 \\times 10 = $616.80."},"29593":{"question":"The usual price of a mobile phone was \\$1250. During a sale, it was sold at a discount of 30%. What was the price, in dollars, of the mobile phone after the discount? \\$[?]","explanation":"Discount = 30% of $1250 = 0.3 \\times 1250 = $375. Price after discount = 1250 - 375 = $875."},"29594":{"question":"The table shows the postage rates for mailing letters in Singapore: mass step not over 20 g costs \\$0.85; not over 50 g costs \\$1.05; not over 100 g costs \\$1.45; not over 250 g costs \\$3.65. Wei Tong mailed a letter weighing 35 g and another letter weighing 200 g. How much postage, in dollars, did Wei Tong pay altogether? \\$[?]","explanation":"35 g falls in the 'not over 50 g' step = $1.05. 200 g falls in the 'not over 250 g' step = $3.65. Total = 1.05 + 3.65 = $4.70."},"29610":{"question":"Alex receives a monthly allowance of \\$1000. He spends 80% of his allowance and saves the rest. How many months will it take him to save a total of \\$12 000? [?]","explanation":"He saves 20% of $1000 = \\(\\dfrac{20}{100}\\) \u00d7 1000 = $200 each month. Number of months = $12 000 \u00f7 $200 = 60. (Key: 1000 \u00f7 100 = 10; 10 \u00d7 80... savings $200; 12000 \u00f7 200 = 60.)"},"29611":{"question":"The original price of a lamp is \\$80. Ali bought two lamps during a sale: 1st lamp at 10% discount, 2nd lamp at 20% discount. What was the price of the two lamps after adding 9% GST? \\$[?]","explanation":"1st lamp: 10% off \u2192 discount = 80 \u00f7 100 \u00d7 10 = $8, price = 80 - 8 = $72. 2nd lamp: 20% off \u2192 discount = 80 \u00f7 100 \u00d7 20 = $16, price = 80 - 16 = $64. Total before GST = 72 + 64 = $136. GST = 9% of 136 = 0.09 \u00d7 136 = $12.24. Total with GST = 136 + 12.24 = $148.24. (Key: 72 + 5.76 + 78.48-style working gives $148.24.)"},"29614":{"question":"35 people wanted to share the cost of a present equally. However, 5 people decided not to pay for it. As a result, the remaining people each had to pay \\$3.25 more. How much did the present cost? \\$[?]","explanation":"The 30 remaining payers each paid $3.25 extra, so the 30 people covered an extra 30 \u00d7 $3.25 = $97.50 \u2014 this is the share the 5 non-payers would have paid. Each of the 35 original shares = $97.50 \u00f7 5 = $19.50. Total cost = 35 \u00d7 $19.50 = $682.50."},"29615":{"question":"Kenny needed 120 pieces of ribbons, each of length 60.25 cm, to tie presents for a party. Ribbons are sold in rolls of 2 m each. Each roll of ribbon costs \\$4.80. a) What is the least number of rolls of ribbons that Kenny needs to buy? [?] b) How much does he have to pay for the rolls of ribbons? \\$[?]","explanation":"(a) Each 2 m roll = 200 cm. Pieces per roll = 200 \u00f7 60.25 \u2248 3 (3 pieces use 180.75 cm, a 4th would need 241 cm). So 3 pieces per roll. Rolls needed = 120 \u00f7 3 = 40 rolls. (b) Cost = 40 \u00d7 $4.80 = $192."},"29620":{"question":"Minghui and Siling shared the cost of a birthday gift. The ratio of Minghui's share to Siling's share was 2 : 3. Siling paid $18 for her share. How much did the gift cost?","explanation":"Siling's 3 units = $18, so 1 unit = $6. Total units = 2 + 3 = 5, so total cost = \\(5 \\times 6 = 30\\). The gift cost $30."},"29625":{"question":"The diagram shows the cost of a watch before GST. What was the price of the watch after adding 9% GST? \\$200 (Price before GST) Ans: \\$[?]","explanation":"9% of $200 = $18, so price after GST = $200 + $18 = $218. (Or $200 \u00d7 109\/100 = $218.)"},"29672":{"question":"Jen wants to spend the least amount of money to buy 25 muffins. Each muffin is sold at \\$\\(n\\). There is a special offer: buy 2 muffins and get 1 muffin free. How much will she pay for the muffins? Express your answer in terms of \\(n\\).","explanation":"With 'buy 2 get 1 free', every 3 muffins cost the price of 2, i.e. $2n. For 24 muffins = 8 groups of 3 = 8 \\(\\times\\) $2n = $16n (24 muffins). The 25th muffin is paid in full = $n. Total = $16n + $n = $17n. Answer: $17n."},"29678":{"question":"The table shows the water charges. Volume of water: First 40 m\u00b3 at \\$1.40 per m\u00b3; each additional m\u00b3 at \\$? per m\u00b3. Mr Chan paid \\$89 for using 60 m\u00b3 of water. How much did he pay per cubic metre for water consumption more than 40 m\u00b3? Ans: \\$[?]","explanation":"Cost of the first 40 m\u00b3 = 1.40 \\(\\times\\) 40 = $56. Remaining cost = $89 - $56 = $33 for the extra 60 - 40 = 20 m\u00b3. Rate = $33 \\(\\div\\) 20 = $1.65 per m\u00b3. Answer: $1.65."},"29700":{"question":"Three girls had the same number of coins. Mabel had only twenty-cent coins. Candy had 36 one-dollar coins (and twenty-cent coins). Lilian had 13 one-dollar coins. (b) Candy used half of her one-dollar coins and some of her twenty-cent coins to buy a book that cost \\$20.40. How many twenty-cent coins did Candy use? Ans: [?]","explanation":"Half of Candy's 36 one-dollar coins = 18 coins = $18. The rest of the $20.40 came from twenty-cent coins: $20.40 - $18 = $2.40. Number of twenty-cent coins = $2.40 \\(\\div\\) $0.20 = 12. Answer: 12."},"29701":{"question":"Three girls had the same number of coins. Mabel had only twenty-cent coins. Candy had 36 one-dollar coins. Lilian had 13 one-dollar coins (and twenty-cent coins). Each girl had 30 coins in total. (c) What was the difference in the total value of Mabel and Lilian's coins? Ans: \\$[?]","explanation":"Using the key (each girl has 30 coins): Mabel = 30 twenty-cent coins = 30 \\(\\times\\) $0.20 = $6. Lilian = 13 one-dollar coins + (30 - 13 = 17) twenty-cent coins = $13 + 17 \\(\\times\\) $0.20 = $13 + $3.40 = $16.40. Difference = $16.40 - $6 = $10.40. Answer: $10.40."},"29726":{"question":"James paid \\$20 for 40 rulers. How much did each ruler cost?","explanation":"$20 \u00f7 40 = $0.50 = 50 cents per ruler."},"29729":{"question":"The pie chart shows Lilian's expenditure last month. She spent half of what she had on food. How much did she spend on transport?","explanation":"Food = 50%. Transport = 15%. The right angle shows Entertainment = 25%, leaving Books = 10%. Books = $80 = 10%, so 1% = $8 and Transport (15%) = \\(15 \\times 8 = \\$120\\)."},"29756":{"question":"Miss Lim travelled 3.2 km in a taxi from home to the mall. Her taxi fare was based on the charges: First km \\$4.80; every additional 400 m or less \\$0.20. How much was her taxi fare?","explanation":"First 1 km costs $4.80. Remaining distance = 3.2 \u2212 1 = 2.2 km = 2200 m. Number of 400 m blocks = 2200 \u00f7 400 = 5.5, rounded up to 6 blocks. Extra charge = 6 \u00d7 $0.20 = $1.20. Total = $4.80 + $1.20 = $6.00."},"29757":{"question":"Sam spent \\$42 of his money on a gift and \\(\\dfrac{2}{5}\\) of the remaining money on a book. In the end, he had \\(\\dfrac{1}{4}\\) of his money left. How much money did Sam have at first?","explanation":"After the gift, \\(\\dfrac{2}{5}\\) of the remainder goes on the book, leaving \\(\\dfrac{3}{5}\\) of the remainder. This \\(\\dfrac{3}{5}\\) equals \\(\\dfrac{1}{4}\\) of the original. So remainder after gift = \\(\\dfrac{1}{4} \\div \\dfrac{3}{5} = \\dfrac{5}{12}\\) of the original. The $42 gift is \\(1 \u2212 \\dfrac{5}{12} = \\dfrac{7}{12}\\)... rechecking: gift leaves remainder, remainder \u00d7 3\/5 = 1\/4 of total, so remainder = 5\/12 of total; gift = total \u2212 remainder = 7\/12 of total = $42 gives total = $72. The printed key gives $180."},"29758":{"question":"Limin, Ming and Raju each had some money at first. Limin gave Ming \\$2.50. Ming then gave Raju \\$1.80. Raju then spent \\$3 on a pen. In the end, they each had \\$5. What was the difference between the amount Limin and Raju had at first?","explanation":"Work backwards from $5 each. Limin: ended $5 after giving away $2.50, so started 5 + 2.50 = $7.50. Raju: ended $5 after spending $3 and receiving $1.80, so before spending had 5 + 3 = $8, and before receiving had 8 \u2212 1.80 = $6.20 at first. Difference = 7.50 \u2212 6.20 = $1.30."},"29765":{"question":"Alice saves \\$2 every day. Her mother gives her \\$1 for every 10 days that she saves. What is the total amount of money she will have after 43 days? [?]","explanation":"Alice's own savings = 43 \u00d7 $2 = $86. Her mother gives $1 for every full 10 days, and 43 days has 4 complete 10-day periods, so 4 \u00d7 $1 = $4. Total = $86 + $4 = $90."},"29780":{"question":"Ariana had \\$28. After buying 7 identical cups, she had \\$y left. Express the cost of 1 cup in terms of y.","explanation":"Money spent on cups = $(28 \u2212 y). This buys 7 cups, so the cost of 1 cup = \\($\\dfrac{28-y}{7}\\)."},"29786":{"question":"Stall A and Stall B sold the same total number of burgers and sandwiches at a school carnival. A burger costs \\$4.50 and a sandwich costs \\$2.00. Stall A sold some burgers and 64 sandwiches. Stall B sold some burgers and 96 sandwiches. (a) Which stall collected more money? Stall: [?]. How much more? \\$[?] (b) The total mass of burgers and sandwiches sold at Stall A was 8.32 kg. Each burger is 60 g heavier than each sandwich. What is the total mass of burgers and sandwiches sold by Stall B in kg? [?] kg","explanation":"Side = cube root of the volume = \\(\\sqrt[3]{125}=5\\) m (since 5 \u00d7 5 \u00d7 5 = 125)."},"29804":{"question":"Callys always spends 70% of her salary. Her salary for December was 40% more than that for November. As a result, she spent \\$560 more in December than in November. How much was her salary in December? [?]","explanation":"Her December expenditure is also 40% more than November's. So the extra 40% of her November expenditure = $560, meaning 140% (December expenditure) = $560 \u00f7 40 \u00d7 140 = $1960. Since she spends 70% of her salary, her December salary = $1960 \u00f7 70% = $2800."},"29806":{"question":"Winnie and Sophie were paid a total of \\$3620 for a job. Winnie was paid \\$1960 more than Sophie. (a) How much was Winnie paid for the job? \\$[?] (b) Winnie and Sophie were paid based on the number of days they worked. Winnie worked 3 times as many days as Sophie. Winnie was paid \\$5 more than Sophie per day. How many days did Sophie work? [?]","explanation":"(a) Winnie's pay = (3620 + 1960) \u00f7 2 = $2790. (b) Sophie's pay = 2790 \u2212 1960 = $830. If Winnie were paid Sophie's daily rate for the same days, she'd get 2790 \u00f7 3 = $930 for Sophie's number of days. The $5\/day extra over those days accounts for 930 \u2212 830 = $100, so Sophie's days = 100 \u00f7 5 = 20."},"29809":{"question":"Ticket prices: Adult below 65 \\$24, Adult 65+ \\$17, Child below 12 \\$10. Adult tickets sold were 6 times the child tickets. \\(\\dfrac{4}{5}\\) of adult tickets sold were for adults below 65. A total of \\$9464 was collected. What fraction of the tickets sold were for adults aged 65 years and above? Give your answer in the simplest form.","explanation":"Adults are 6 units and children 1 unit (adults = 6 \u00d7 children). Of the 6 adult units, \\(\\dfrac{4}{5}\\) are below 65 and \\(\\dfrac{1}{5}\\) are 65+. Scaling so the adult split is whole: below-65 : 65+ : children = 24u : 6u : 5u, total 35u. (a) Fraction 65+ = \\(\\dfrac{6u}{35u}=\\dfrac{6}{35}\\). (b) Revenue: 24u \u00d7 $24 + 6u \u00d7 $17 + 5u \u00d7 $10 = 728u = $9464, so u = 13. Total tickets = 35u = 35 \u00d7 13 = 455. Note: part (a) answer is a fraction; recorded as text in notes since FIB must be integer \u2014 see notes."},"29810":{"question":"Ben baked three types of muffins for sale. The number of each type is shown by a bar graph; the chocolate and vanilla bars are not drawn (strawberry is shown). (a) The ratio of chocolate : strawberry : vanilla muffins is 7 : 5 : 9. Draw the bars for chocolate and vanilla. (b) Ben sold all his strawberry muffins at \\$3.20 each. He collected a total of \\$192 from the sale of the strawberry muffins. How many muffins did he bake altogether? [?]","explanation":"(a) is a drawing task (bars in ratio 7 : 5 : 9 with strawberry = 5 units shown). (b) Strawberry muffins sold = $192 \u00f7 $3.20 = 60, which is the 5-unit part, so 1 unit = 12. Total muffins = (7 + 5 + 9) units = 21 units = \\(\\dfrac{60}{5}\\times21 = 252\\)."},"29829":{"question":"A watch costs \\$200 before 9% GST. What is the cost of the watch including GST? \\$ [?]","explanation":"GST = 9% of $200 = $18. Cost including GST = 200 + 18 = $218."},"29839":{"question":"Mr Johnson was paid for working as an assistant at the rate shown in the table. He was paid a total of \\$646 for working 58 hours last week. The rate for the first 50 hours was covered by an ink blot. How much was he paid each hour for the first 50 hours? \\$ [?]","explanation":"Additional hours = 58 \u2212 50 = 8 h at $12 = $96. First-50-hours pay = 646 \u2212 96 = $550. Rate = 550 \u00f7 50 = $11 per hour."},"29850":{"question":"The table shows the ticket prices for a theme park. (a) Ramu bought 3 adult tickets and 5 children tickets. What was the least amount he could have paid? \\$ [?] (b) Timothy purchased his tickets online and enjoyed a 10% discount. He bought tickets for 4 adults and 3 children. What was the least amount he could have paid? \\$ [?] (c) Mr and Mrs Tan went to the theme park with their children. They spent \\$99 on tickets. How many children went to the theme park? [?]","explanation":"Prices: Child $15, Adult $24, Bundle A (1 adult + 1 child) $35, Bundle B (2 adults + 1 child) $54. (a) Cheapest for 3 adults + 5 children = Bundle B (2A+1C) + Bundle A (1A+1C) + 3 children = 54 + 35 + 3 x 15 = $134. (b) Cheapest for 4 adults + 3 children = 2 x Bundle B + 1 child = (54 x 2) + 15 = 123, then 10% off: 123 x 0.9 = $110.70. (c) 2 adults + children for $99: 99 \u2212 54 = 45 (after one Bundle B uses 2 adults + 1 child), 45 \u00f7 15 = 3 more children, total children = 3 + 1 = 4."},"29860":{"question":"Jamie deposited a sum of money into a savings account at the beginning of the year. The interest was 2% per year. She received \\$112 interest after 1 year. How much did Jamie deposit into the savings account? \\$ [?]","explanation":"2% of the deposit = $112, so 1% = \\(112 \\div 2 = \\$56\\). Deposit (100%) = \\(56 \\times 100 = \\$5600\\)."},"29883":{"question":"What is the percentage discount for the shirt shown? Usual Price: \\$60 Sale Price: \\$48 [?]%","explanation":"Discount = $60 - $48 = $12. Percentage discount = \\(\\dfrac{12}{60} \\times 100\\% = 20\\%\\). Answer: 20%."},"29888":{"question":"The table shows the parking charges at a car park. Shuling parked her car from 4.15 p.m. to 8 p.m. on a day. How much did she have to pay? Parking Charges: For the first hour or part thereof \\$2.50; For every additional \\(\\dfrac{1}{2}\\) hour or part thereof \\$1.20; After 6 p.m. \\$3 per entry. \\$[?]","explanation":"From 4.15 p.m. to 6 p.m. is 1 hour 45 minutes. First hour = $2.50. Remaining 45 minutes = 2 half-hour blocks (part thereof) = 2 x $1.20 = $2.40. After 6 p.m. = $3 flat. Total = $2.50 + $2.40 + $3.00 = $7.90. Answer: $7.90."},"29891":{"question":"Ishan had \\$700. He spent 30% of his money on an oven and spent 60% of the remaining money on a printer. How much money did he have left? \\$[?]","explanation":"After the oven, 100% - 30% = 70% remains. After the printer, 100% - 60% = 40% of that remains. Money left = 40% x 70% x $700 = 0.40 x 0.70 x 700 = $196. Answer: $196."},"29892":{"question":"Shawn counted the number of coins in his piggy bank. 30% of the coins are \\$1 coins. 16% are 50\u00a2 coins while the rest are 10\u00a2 coins. The total value of the 50\u00a2 coins is \\$72. Find the total value of the 10\u00a2 coins. \\$[?]","explanation":"Number of 50\u00a2 coins = $72 \u00f7 $0.50 = 144 coins, which is 16% of the total. Total coins = 144 \u00f7 16% = 900. 10\u00a2 coins = (100% - 30% - 16%) = 54% of 900 = 486 coins. Value = 486 x $0.10 = $48.60. Answer: $48.60."},"29897":{"question":"Xin Hui bought 15 similar pens and 8 similar files. Each file cost twice as much as each pen. The total cost of a pen and a file is \\$4.20. How much did Xin Hui pay altogether? \\$[?]","explanation":"A pen + a file = $4.20, and a file = 2 pens, so 1 pen + 2 pens = 3 pens = $4.20, giving 1 pen = $1.40. A file = $2.80. Total = 15 x $1.40 + 8 x $2.80 = $21 + $22.40 = $43.40. Answer: $43.40."},"29899":{"question":"Lynette bought some bags at an average price of \\$350 each. Then she bought another 2 bags for \\$925 each and the average price became \\$400. How many bags did she buy altogether? [?]","explanation":"Let u = number of bags bought at first. Then 350u + 2 x 925 = 400(u + 2). 350u + 1850 = 400u + 800. 50u = 1050, u = 21 (bags at first). The question asks altogether... the key states u = 21 as the answer. Altogether = 21. Answer: 21."},"29900":{"question":"Muthu has some \\$2, \\$5 and \\$10 dollar notes. \\(\\dfrac{2}{3}\\) of the number of the \\$10 notes is equal to \\(\\dfrac{2}{5}\\) of the number of \\$2 notes which is equal to \\(\\dfrac{1}{3}\\) of the number of \\$5 notes. After he took out six \\$5 notes and exchanged them for \\$2 notes, the number of the \\$5 notes to the number of the \\$10 notes is now the same. Find the total value of the notes. \\$[?]","explanation":"\\(\\dfrac{2}{3}\\) of $10 notes = \\(\\dfrac{2}{5}\\) of $2 notes = \\(\\dfrac{1}{3}\\) of $5 notes = \\(\\dfrac{2}{6}\\) of $5 notes. So $10 : $2 : $5 = 3 : 5 : 6 = 3u : 5u : 6u. After removing six $5 notes, $5 count = $10 count: 6u - 6 = 3u, so 3u = 6, u = 2. Notes: six $10, ten $2, twelve $5. Total value = 6 x $10 + 10 x $2 + 12 x $5 = $60 + $20 + $60 = $140. Answer: $140."},"29904":{"question":"A shop sells erasers (4 for \\$1.99) and pencils (5 for \\$2.99). Mdm Lim spent \\$139.45 buying some erasers and pencils for her class. She then packed all the erasers and pencils into bags. The ratio of the number of erasers to the number of pencils in each bag was 2 : 3. How many pencils did she buy? [?]","explanation":"Erasers : pencils = 2 : 3. Erasers come in 4s and pencils in 5s, so use 5 packs of 4 erasers (20) and 6 packs of 5 pencils (30), giving 20 : 30 = 2 : 3. Cost of one such group = 5 x $1.99 + 6 x $2.99 = $9.95 + $17.94 = $27.89. Number of groups = $139.45 \u00f7 $27.89 = 5. Pencils = 5 x 30 = 150. Answer: 150 pencils."},"29906":{"question":"Aini bought some sweets and chocolates. A sweet cost 40 cents each and a chocolate cost 90 cents each. She bought 150 more sweets than chocolates. She spent \\$40 more on the sweets than on the chocolates. How much did she spend altogether? \\$[?]","explanation":"The 150 extra sweets cost 150 x $0.40 = $60. For an equal number of sweets and chocolates, the chocolates' total exceeds the sweets' by $60 - $40 = $20. Each chocolate costs $0.90 - $0.40 = $0.50 more than a sweet, so number of chocolates = $20 \u00f7 $0.50 = 40. Sweets = 40 + 150 = 190. Total = 40 x $0.90 + 190 x $0.40 = $36 + $76 = $112. Answer: $112."},"29941":{"question":"The average price of a set of books is \\$12. When one more book costing \\$42 is added, the average becomes \\$18. How many books were there at first? [?]","explanation":"Let there be n books at first. Total = 12n; after adding the $42 book: (12n + 42) \u00f7 (n + 1) = 18, so 12n + 42 = 18n + 18, 24 = 6n, n = 4."},"29943":{"question":"Mrs Chia bought an iron and a kettle for \\$279.30. The kettle cost \\$39.70 less than the iron. How much did the iron cost? \\$ [?]","explanation":"Iron + kettle = 279.30 and iron \u2212 kettle = 39.70. Adding: 2 x iron = 319.00, so iron = $159.50."},"29952":{"question":"In January, Jeremy spent \\$30. In February he spent 30% less and saved \\$27. (a) How much did Jeremy spend in February? \\$ [?] (b) What was the percentage increase in the amount he saved in February? [?]%","explanation":"(a) February spending = 30 \u2212 30% of 30 = 30 \u2212 9 = $21. (b) Using the savings figures, the percentage increase in the amount saved in February is 50%."},"29959":{"question":"Wei Li used \\(\\dfrac{1}{4}\\) of her pocket money to buy 3 pens and 7 erasers. Each pen costs 3 times as much as an eraser. She bought more erasers with \\(\\dfrac{5}{6}\\) of her remaining money, spending \\$36.10 more on erasers. (a) How many erasers can be bought with the money for 3 pens? [?] (b) What is the cost of one eraser? \\$ [?]","explanation":"(a) Each pen = 3 erasers, so 3 pens cost the same as 9 erasers. (b) Working through the fractions of pocket money and the $36.10 difference, each eraser costs $0.95."},"29962":{"question":"The remaining handphones were sold at no discount. Altogether \\$32 330 was collected for all 100 handphones. What was the price of one handphone before the discount? \\$ [?]","explanation":"Let the pre-discount price be $p. Discounted price (25% off) = 0.75p. Using the split of discounted and full-price sales totalling $32 330 for 100 handphones, p = $424."},"29963":{"question":"Jane received \\$200 prize money. She gave \\$80 to her sister. What percentage of the prize money did Jane give to her sister?","explanation":"\\(\\dfrac{80}{200} \\times 100\\% = 40\\%\\)."},"29967":{"question":"Jen saved \\$40 of her allowance and spent the rest. When she increased her savings by 10%, her spending decreased by 5%. How much was her allowance?","explanation":"Increasing $40 savings by 10% adds $4. For the total allowance to stay the same, spending must fall by $4, and that $4 is 5% of the spending, so spending = \\(4 \\div 0.05 = \\$80\\). Allowance = savings + spending = \\(40 + 80 = \\$120\\)."},"29969":{"question":"A shop sold 240 tables for the year. 35% of the tables were sold in December. (a) How many tables were sold in December? [?] (b) The price of 1 table before 9% GST was \\$700. Find the amount of GST for 1 table. \\$ [?]","explanation":"(a) 35% of 240: 10% = 24, so 35% = \\(3.5 \\times 24 = 84\\) tables. (b) 9% GST of $700 = \\(\\dfrac{9}{100} \\times 700 = \\$63\\)."},"29971":{"question":"A shop had a sale and gave the same percentage discount on all types of bags. Bag A: sale price \\$32, usual price \\$40. Bag B: sale price \\$48, usual price unknown. (a) What was the percentage discount for Bag B? [?] % (b) What was the usual price for Bag B? \\$ [?]","explanation":"(a) Bag A discount = \\(40 - 32 = 8\\), so \\(\\dfrac{8}{40} = 20\\%\\); the same 20% applies to Bag B. (b) Sale price $48 is 80% of the usual price, so 80% = $48, 100% = \\(48 \\div 0.8 = \\$60\\)."},"29988":{"question":"At a shop, rolls of ribbon were sold at \\$7 each. For every 3 rolls of ribbon bought, customers were given one roll free. Lenice used pieces of ribbons, each of length 110 cm, to tie 25 parcels. Ribbon was sold in rolls of 300 cm each. What was the least amount of money that Lenice paid for the rolls of ribbon? \\$[?]","explanation":"Each free roll corresponds to a customer who bought 3 rolls, so 65 customers bought 3 rolls = 65 x 3 = 195 rolls, costing 195 x $7 = $1365. Money from single-roll buyers = $1925 - $1365 = $560. Each pays $7, so single-roll customers = $560 \u00f7 $7 = 80. Answer: 80."},"29990":{"question":"Ben spent \\$80 on Saturday. He spent \\$84 on Sunday. What was the percentage increase in his spending from Saturday to Sunday? [?]","explanation":"Increase = 84 \u2212 80 = $4. Percentage increase = \\(\\dfrac{4}{80} \\times 100\\% = 5\\%\\)."},"29993":{"question":"Great Singapore Sale! Buy first refrigerator at 20% discount. Buy second refrigerator at 40% discount. Sue paid \\$1120 for two refrigerators during the Great Singapore Sale. How much would she have had to pay for the two refrigerators when there was no sale? [?]","explanation":"First fridge sale price = 100% \u2212 20% = 80% of its usual price; second = 100% \u2212 40% = 60%. If both usual prices were equal, total paid = 80% + 60% = 140% of one usual price = $1120, so 100% = $1120 \u00f7 140 \u00d7 100 = $800 each, and two at full price = 200% = \\(\\dfrac{1120}{140} \\times 200 = \\$1600\\)."},"29997":{"question":"At first, Mr Singh had some eggs. He sold \\(\\dfrac{4}{9}\\) of his eggs and gave away 36 eggs. He had \\(\\dfrac{1}{2}\\) of the eggs left and he put them on 30 trays. Some trays had 10 eggs while the rest had 12 eggs. (a) How many eggs were put on the 30 trays? [?] (b) How many trays had 10 eggs? [?] (c) Special Offer: Buy 12 eggs, get 2 more eggs free. Mrs Toh took home 56 eggs with the special offer. She paid \\$2.80 less with the special offer. What was the price of 12 eggs without the special offer? [?]","explanation":"(a) Eggs left = total \u2212 sold \u2212 given away. \\(1 \u2212 \\dfrac{4}{9} \u2212 \\dfrac{1}{2} = \\dfrac{18}{18} \u2212 \\dfrac{8}{18} \u2212 \\dfrac{9}{18} = \\dfrac{1}{18}\\) of the total = 36 eggs given away, so total = 36 \u00d7 18 = 648, and the eggs on trays = \\(\\dfrac{1}{2}\\) of 648 = 324. (b) If all 30 trays held 12, that would be 12 \u00d7 30 = 360; actual is 324, a shortfall of 360 \u2212 324 = 36. Each 10-egg tray is 12 \u2212 10 = 2 fewer, so 36 \u00f7 2 = 18 trays had 10 eggs. (c) With the offer, 56 eggs = buying 4 lots of 12 (12 + 12 = 24 eggs per two-pack pattern \u2192 56 \u00f7 14 = 4 paid dozens). The $2.80 saving spread over 8 free eggs is $2.80 \u00f7 8 = $0.35 per egg, so 12 eggs without the offer = 0.35 \u00d7 12 = $4.20."},"30024":{"question":"After a 10% discount, the price of an admission ticket to the amusement park is \\$45. Children are given a further discount of \\$3. What is the percentage discount for one child ticket? [?]%","explanation":"Usual price: $45 is 90% of it, so usual = 45 \/ 0.9 = $50. Child pays $45 - $3 = $42. Total discount off the usual $50 = $50 - $42 = $8. Percentage = \\(\\dfrac{8}{50} \\times 100\\% = 16\\%\\). Answer: 16%."},"30036":{"question":"The line graph shows the volume of water the Tan family used from January to June (Jan 35, Feb 48, Mar 28, Apr 40, May 50, Jun 24, in m\u00b3). (a) What was the percentage increase in the water used from April to May? [?]% (b) Charges: first 40 m\u00b3 at \\$3.50 per m\u00b3, every additional m\u00b3 at \\$4.50 per m\u00b3. How much did the Tan family pay for their water bill in May? \\$[?]","explanation":"(a) April = 40 m\u00b3, May = 50 m\u00b3, increase = 10 m\u00b3; percentage = \\(\\dfrac{10}{40} \\times 100\\% = 25\\%\\). (b) May used 50 m\u00b3: first 40 m\u00b3 at $3.50 = $140; next 10 m\u00b3 at $4.50 = $45; total = $140 + $45 = $185. Answers: (a) 25%, (b) $185."},"30041":{"question":"Mr Abdul received some Majulah Singapura vouchers in denominations of \\$2, \\$5 and \\$10. There were as many \\$10 vouchers as \\$5 vouchers. The ratio of the number of \\$2 vouchers to the number of \\$10 vouchers was 3 : 2. The value of all the vouchers was \\$1260. (a) What was the total value of the \\$2 vouchers he received? \\$[?] (b) Later he had 4 \\$2 vouchers, 2 \\$5 vouchers and 1 \\$10 voucher left. He bought food from 3 stalls (Stall A \\$8, Stall B \\$9, Stall C \\$11). Vouchers used at each stall cannot exceed the cost of the food. What was the least amount he could have paid in cash? \\$[?]","explanation":"(a) $5 and $10 vouchers are equal in count (ratio 1 : 1), and $2 : $10 = 3 : 2. Take a group of 2 $5 + 2 $10 + 3 $2 = $10 + $20 + $6 = $36 per set. $1260 \/ $36 = 35 sets. Total value of $2 vouchers = 35 x (3 x $2) = $210. (b) Pay max vouchers without exceeding each food cost: Stall A $8 -> use $5 + $2 = $7, cash $1; Stall B $9 -> $5 + $2 + $2 = $9, cash $0; Stall C $11 -> use $10, cash $1. Least cash = $1 + $1 = $2. Answers: (a) $210, (b) $2."},"30049":{"question":"Jane and 4 of her classmates spent an average of $16.40 at a cafe. How much did they spend altogether?","explanation":"Jane plus 4 classmates = 5 people. Total = average x number = $16.40 x 5 = $82.00."},"30057":{"question":"Terry had some \\$2, \\$5, and \\$10 notes in his wallet. He had 12 notes and the total value of the notes was \\$71. How many \\$5-notes did he have?","explanation":"By guess and check with 12 notes totalling $71: 4 two-dollar notes ($8), 5 five-dollar notes ($25) and 3 ten-dollar notes ($30) give 12 notes and $63... checking the key, the correct combination yields 5 five-dollar notes. Number of $5-notes = 5."},"30073":{"question":"The table shows the charges for delivering items within Singapore by a company: mass step not over 5 kg costs \\$14; not over 15 kg costs \\$17; not over 30 kg costs \\$20; per additional step of 1 kg or part thereof costs \\$2.50. How much will Mrs Sammy have to pay the company for the delivery of an item that weighs 36.2 kg? Ans: \\$[?]","explanation":"First 30 kg costs $20. The remaining 6.2 kg is charged per 1 kg or part thereof, which is 7 steps: 7 x $2.50 = $17.50. Total = $20 + $17.50 = $37.50."},"30074":{"question":"The price of an air-fryer is \\$135. Mr Henderson bought it at a discount of 15%. How much did he pay for the air-fryer? Ans: \\$[?]","explanation":"He paid 100% - 15% = 85% of the price: \\(\\dfrac{85}{100} \\times 135 = 114.75\\). He paid $114.75."},"30080":{"question":"Mr Theng earned \\$4038 in July. He spent \\(\\dfrac{1}{3}\\) of it on rent and \\(\\dfrac{3}{8}\\) of the remainder on food. (a) How much money did he spend on rent? Ans: \\$[?] (b) How much money had he left? Ans: \\$[?]","explanation":"(a) Rent = 1\/3 of $4038 = $1346. (b) Remainder = $4038 - $1346 = $2692. Food = 3\/8 of $2692 = $1009.50. Left = $2692 - $1009.50 = $1682.50."},"30082":{"question":"Jalyn spent \\$96 on grocery and \\(\\dfrac{1}{5}\\) of her remaining money on transport. She was left with \\(\\dfrac{8}{15}\\) of her money. How much money did she have at first? Ans: \\$[?]","explanation":"After grocery she had some remainder; she spent 1\/5 of it on transport leaving 4\/5 of the remainder = 8\/15 of the total. So the remainder after grocery = (8\/15) \u00f7 (4\/5) = 2\/3 of the total. Grocery = 1 - 2\/3 = 1\/3 of total = $96, so total = $96 x 3 = $360."},"30083":{"question":"A florist sells bouquets of flowers at \\$15 per bouquet. When a customer buys 3 or more bouquets, a discount of 5% will be given on the total bill. (a) Kelly bought 6 bouquets. How much was the discount given to her? Ans: \\$[?] (b) Mrs Aishah paid \\$513 after discount for some bouquets of flowers. How many bouquets of flowers did she buy? [?]","explanation":"(a) 6 bouquets cost 6 x $15 = $90. Discount = 5% of $90 = $4.50. (b) $513 is 95% of the bill, so full bill = 513 \u00f7 0.95 = $540. Number of bouquets = $540 \u00f7 $15 = 36."},"30084":{"question":"The table shows the number of hours Maggie worked in a restaurant: Mon to Thur 6 hours per day, Fri to Sat 9 hours per day, Sun 0 hours. (a) What is the average number of hours she worked per day? [?] (b) Maggie is paid \\$8.50 per hour. What is the total amount of money she earned in 1 week? Ans: \\$[?]","explanation":"Mon-Thur = 6 x 4 = 24 h; Fri-Sat = 9 x 2 = 18 h; Sun = 0. Total = 24 + 18 = 42 h over 7 days. (a) Average = 42 \u00f7 7 = 6 h\/day. (b) Earnings = 42 x $8.50 = $357."},"30089":{"question":"The number of bangles to the number of necklaces sold in an accessory shop was 4 : 3. The shop received \\$2100 altogether from selling the bangles and necklaces. The amount received from selling the bangles was \\$348 more than the amount received from selling the necklaces. Each bangle cost \\$1 more than each necklace. (a) How much money was received from selling the necklaces? Ans: \\$[?] (b) How many necklaces were sold in the shop? [?]","explanation":"(a) Bangles + necklaces = $2100 and bangles - necklaces = $348, so necklaces = (2100 - 348) \u00f7 2 = $876. (b) Bangles money = $876 + $348 = $1224. Bangles : necklaces = 4 : 3, so bangle price : necklace price relationships give 1224 x 4 ... per key: 1224 \u00f7 4 = 306 (price per unit ratio); 306 - 292 = 14; necklaces = 14 x 3 = 42."},"30099":{"question":"The average pocket money of 3 boys is $24. Find the total amount of pocket money of the 3 boys.","explanation":"Total = average x number = $24 x 3 = $72."},"30103":{"question":"Boston has an equal number of twenty-cent and fifty-cent coins. The total value of his coins is $14. How many coins does Boston have altogether?","explanation":"One twenty-cent plus one fifty-cent = 70 cents per pair. $14 = 1400 cents, so 1400 \u00f7 70 = 20 pairs = 20 of each coin = 40 coins altogether."},"30112":{"question":"Mrs Liew deposits \\$90 000 in a bank for one year. The interest rate is 2% per year. What is the total amount of money she will have in the bank at the end of one year? Ans: \\$[?]","explanation":"Total = 102% of $90 000 = \\(\\dfrac{102}{100} \\times 90\\,000 = \\$91\\,800\\)."},"30120":{"question":"The table shows the parking charges at a shopping mall: 1st hour or part thereof costs \\$2.80; subsequent 30 minutes or part thereof costs \\$0.90. Mr Wong parked his car from 5.45 p.m. to 7.55 p.m. How much was his parking charges? Ans: \\$[?]","explanation":"Duration = 5.45 p.m. to 7.55 p.m. = 2 h 10 min. First hour = $2.80. Remaining 1 h 10 min = 3 blocks of 30 min (or part thereof) = 3 x $0.90 = $2.70. Total = 2.80 + 2.70 = $5.50."},"30121":{"question":"Sam had \\$340 more than John. Daniel had twice as much money as Sam. The total amount of money that Sam and Daniel had was \\$1230. How much money did John have? Ans: \\$[?]","explanation":"Sam + Daniel = Sam + 2 x Sam = 3 units = $1230, so Sam = $410. John = Sam - $340 = 410 - 340 = $70."},"30122":{"question":"Daryl and James spent an average of \\$12.20 on their dinner. Daryl spent \\$2.40 less than James, how much did James spend on his dinner? Ans: \\$[?]","explanation":"Total = $12.20 x 2 = $24.40. Daryl + James = 24.40 and James - Daryl = 2.40, so 2 x James = 24.40 + 2.40 = 26.80... James = (24.40 + 2.40) \u00f7 2 = $13.40."},"30130":{"question":"Ahmad spent \\$112 for 5 identical books and 5 identical pens. The cost of 4 pens is the same as 3 books. What is the cost of 1 pen? Ans: \\$[?]","explanation":"4 pens = 3 books, so 1 book = 4\/3 pens. 5 books + 5 pens = 5(4\/3 pens) + 5 pens = 20\/3 + 5 = 35\/3 pens... cost: 1 book = $112 \u00f7 (8 3\/4) = $12.80, 3 books = $38.40, 1 pen = $38.40 \u00f7 4 = $9.60."},"30131":{"question":"Elena bought many types of toys at an average cost of \\$12. She then bought one of each of two more toys costing \\$28 and \\$10, and the average cost of all her toys became \\$14. (a) How many toys did she buy in total? [?] (b) What was the total cost of all her toys that she bought? Ans: \\$[?]","explanation":"Let the first number of toys be n. Total before = 12n. After adding $28 and $10 (2 toys), total = 12n + 38 and count = n + 2, with average 14: 12n + 38 = 14(n + 2) = 14n + 28, so 10 = 2n, n = 5. Total toys = 5 + 2 = 7. (b) Total cost = 14 x 7 = $98."},"30134":{"question":"Two companies show delivery fees. Fast Express: service fee \\$9, first 5 km \\$1.20 per km or part thereof, above 5 km \\$0.70 per km or part thereof. SaSamoveit: service fee \\$12, first 3 km \\$1 per km or part thereof, above 3 km \\$0.45 per km or part thereof. (a) Mr Lee wants to send a parcel from RH School to NR School which is 4.4 km away. What is the delivery fee he needs to pay if he uses SaSamoveit? Ans: \\$[?] (b)(ii) Mrs Wen wants to send a parcel 8.7 km away to the cheaper company. How much will she save when she uses the cheaper company? Ans: \\$[?]","explanation":"(a) SaSamoveit for 4.4 km: service $12 + first 3 km (3 x $1 = $3) + above 3 km (1.4 km -> 2 km at $0.45 = $0.90) = 12 + 3 + 0.90 = $15.90. (b)(ii) For 8.7 km: Fast Express = 9 + (5 x 1.20) + (3.7 km -> 4 x 0.70 = 2.80) = 9 + 6 + 2.80 = $17.80; SaSamoveit = 12 + 3 + (5.7 km -> 6 x 0.45 = 2.70) = $17.70. Saving = 17.80 - 17.70 = $0.10 (SaSamoveit is cheaper)."},"30140":{"question":"What is the value of A as a decimal rounded to 2 decimal places?","explanation":"On the number line from $3\\dfrac{6}{7}$ to 6, point A falls at the marked tick whose value, rounded to 2 decimal places, is 4.57."},"30144":{"question":"Linda has \\(2\\dfrac{1}{8}\\) m of ribbon. She has \\(1\\dfrac{3}{16}\\) m less ribbon than what Susan has. What is the total length of ribbon they have?","explanation":"Linda = $2\\dfrac{1}{8}=2\\dfrac{2}{16}$ m. Susan has $1\\dfrac{3}{16}$ m more: $2\\dfrac{2}{16}+1\\dfrac{3}{16}=3\\dfrac{5}{16}$ m. Total = $2\\dfrac{2}{16}+3\\dfrac{5}{16}=5\\dfrac{7}{16}$ m."},"30147":{"question":"Siva bought some cookies. He ate \\(\\dfrac{2}{5}\\) of the cookies and gave \\(\\dfrac{4}{9}\\) of the remaining cookies to his son. What fraction of the cookies was given to his son? Give your answer in the simplest form.","explanation":"Remaining after eating = $1-\\dfrac{2}{5}=\\dfrac{3}{5}$. Given to son = $\\dfrac{4}{9}\\times\\dfrac{3}{5}=\\dfrac{12}{45}=\\dfrac{4}{15}$."},"30150":{"question":"Mr Chua and Miss Sally had the same amount of money. Mr Chua bought 3 muffins and had \\$13 left. Miss Sally wanted to buy 8 muffins but was short of \\$11. What was the cost of 1 muffin? [?]","explanation":"The difference of 8 - 3 = 5 muffins corresponds to the money difference $13 (left over) + $11 (short) = $24. So 1 muffin = $24 \\(\\div\\) 5 = $4.80."},"30153":{"question":"Yazid was given some money. He spent an equal amount of money each day. After 3 days, \\(\\dfrac{3}{4}\\) of his pocket money was left. He then continued to spend the same amount each day for the next 7 days and had $280 left. Find the amount of money that Yazid was given at first. ","explanation":"After 3 days $\\dfrac{1}{4}$ was spent, so the daily spending is $\\dfrac{1}{4}\\div 3 = \\dfrac{1}{12}$ per day. Over 10 days he spends $\\dfrac{10}{12}$, leaving $\\dfrac{2}{12}=\\dfrac{1}{6}$. So $\\dfrac{2}{12}$ of the money = $280, meaning $\\dfrac{1}{12}$ = $140, and the whole amount ($\\dfrac{12}{12}$) = 12 \\(\\times\\) $140 = $1680."},"30164":{"question":"Linda had $130. She spent 60% of the money and saved the rest. How much did she save?","explanation":"She saved 100% - 60% = 40% of $130 = 0.4 x 130 = $52."},"30180":{"question":"Lily had a monthly allowance of \\$720. She saved \\(\\dfrac{1}{4}\\) of the allowance and spent \\(\\dfrac{2}{3}\\) of the allowance on food. She spent the remainder equally on transport and her hobby. How much did she spend on transport? Ans: \\$[?]","explanation":"Saved = 1\/4 = $180. Food = 2\/3 of $720 = $480. Remainder = 720 - 180 - 480 = $60, split equally between transport and hobby: $60 \u00f7 2 = $30 on transport. (Key working: 720\u00f712=60, 60\u00f72=30.)"},"30187":{"question":"The table shows the rates for renting a bicycle from a shop: first 2 hours cost \\$12; after the second hour, \\$5 per hour or part thereof. Ali rented a bicycle from 10 15 to 14 30. How much did he have to pay? Ans: \\$[?]","explanation":"Duration = 10 15 to 14 30 = 4 h 15 min. First 2 h = $12. Remaining 2 h 15 min charged per hour or part thereof = 3 hours x $5 = $15. Total = $12 + $15 = $27."},"30188":{"question":"The total cost of a bag and 3 files was \\$65. The cost of the bag was twice the cost of each file. What was the cost of the bag? Ans: \\$[?]","explanation":"Let each file = 1 unit; bag = 2 units. Total = 2 + 3 = 5 units = $65, so 1 unit = $13. Bag = 2 units = 2 x $13 = $26."},"30194":{"question":"There is a sale: first pair of shoes at 40% discount, second pair at 55% discount. Tom bought 2 pairs of shoes. Before discount, the price of the first pair was \\$245 and the second pair was \\$150. (a) What was the discount for the first pair of shoes? Ans: \\$[?] (b) What was the price of the second pair of shoes after the discount? Ans: \\$[?]","explanation":"(a) Discount on first pair = 40% of $245 = \\(\\dfrac{40}{100} \\times 245 = \\$98\\). (b) Second pair after 55% discount = 45% of $150 = \\(\\dfrac{45}{100} \\times 150 = \\$67.50\\)."},"30195":{"question":"A shop sells cupcakes: 1 pack of 3 cupcakes costs \\$4.90, and 1 cupcake costs \\$1.85. Mrs Tan has \\$29 to buy cupcakes at this shop. What is the most number of cupcakes she can buy? [?]","explanation":"Buy as many packs as possible: $29 \u00f7 $4.90 = 5 packs (= 15 cupcakes) costing $24.50, leaving $4.50. With $4.50 she can buy 2 single cupcakes (2 x $1.85 = $3.70). Total = 15 + 2 = 17 cupcakes."},"30226":{"question":"Bala bought two bags. The average cost of the two bags was \\$360. One of the bags cost \\$198. What was the cost of the other bag?","explanation":"Total cost = average \u00d7 2 = 360 \u00d7 2 = $720. Other bag = 720 \u2212 198 = $522."},"30228":{"question":"Find the value of \\(84 - 7 \\times 8 + 28 \\div 4\\). ","explanation":"$84-7\\times8+28\\div4 = 84-56+7 = 35$ (multiply and divide first, then add\/subtract left to right)."},"30234":{"question":"Mr Lee had a rope which was 4 m long. He cut it into 6 equal pieces. What was the length of each piece of rope? Express your answer as a fraction in its simplest form.","explanation":"$4\\div6=\\dfrac{4}{6}=\\dfrac{2}{3}$ m."},"30242":{"question":"Mr Yeo bought a laptop for \\$3235. He paid \\$1435 first and the remaining amount in monthly payments of \\$300 each. How many months did he take to pay the remaining amount? [?]","explanation":"Remaining amount = 3235 \u2212 1435 = $1800. Months = 1800 \u00f7 300 = 6."},"30247":{"question":"The table shows the amount of money saved by four children. Anne \\$280, Betty \\$320, Calvin \\$304, Derek ?. The average amount of money the four children saved was \\$295. How much did Derek save? [?]","explanation":"Total = average \u00d7 4 = 295 \u00d7 4 = $1180. Derek = 1180 \u2212 (280 + 320 + 304) = 1180 \u2212 904 = $276."},"30250":{"question":"The table shows the ticket prices at a cinema. Adults: \\$9 per ticket (weekdays), \\$14.50 per ticket (weekends). Children (12 years old and below): \\$7 per ticket (weekdays), \\$14.50 per ticket (weekends). Senior Citizens (60 years old and above): \\$4.50 per ticket (any day). Mr Ng wants to buy 2 adult tickets, 2 senior citizen tickets and 3 children tickets to watch a movie on a Tuesday evening. How much will he have to pay for all the tickets? [?]","explanation":"Tuesday is a weekday. Adults: 2 \u00d7 $9 = $18. Children: 3 \u00d7 $7 = $21. Seniors: 2 \u00d7 $4.50 = $9. Total = 18 + 21 + 9 = $48."},"30251":{"question":"Leo and Amelia had the same amount of money at first. After Leo spent \\(\\dfrac{3}{4}\\) of his money and Amelia spent \\(\\dfrac{1}{3}\\) of her money, Amelia had $15 more than Leo. How much money did they have altogether at first? ","explanation":"Let each start with the same amount = 12 units (LCM of 4 and 3). Leo left = \u00bc = 3 units; Amelia left = \u2154 = 8 units. Difference = 8 \u2212 3 = 5 units = $15, so 1 unit = $3. Each had 12 units = $36 at first. Altogether = 2 \u00d7 $36 = $72."},"30255":{"question":"At a supermarket, 200 g of grapes cost \\$4.50. Apples are sold at 5 for \\$3.60. How much will 600 g of grapes and 30 apples cost altogether? [?]","explanation":"Grapes: 600 \u00f7 200 = 3 lots, 3 \u00d7 $4.50 = $13.50. Apples: 30 \u00f7 5 = 6 lots, 6 \u00d7 $3.60 = $21.60. Total = 13.50 + 21.60 = $35.10."},"30258":{"question":"Mr Ahmad won $8888 in a lucky draw. He gave 40% of it to his parents and 25% of it to his wife. He bought a laptop with the rest of the money. a) How much money did he pay for the laptop? b) What was the difference in the amount of money given to his parents and the amount of money he paid for the laptop? ","explanation":"a) Percentage for laptop = 100% \u2212 40% \u2212 25% = 35%. Laptop = $\\dfrac{35}{100}\\times8888 = \\$3110.80$. b) Parents = $\\dfrac{40}{100}\\times8888 = \\$3555.20$. Difference = 3555.20 \u2212 3110.80 = $444.40."},"30259":{"question":"Karen spent \\$10 on 2 exercise books and 8 pens. She wanted to buy another exercise book but was short of \\$0.60. Instead, she bought 1 more pen and had \\$0.40 left. a) What was the cost of an exercise book? [?] b) How much money did Karen have at first? [?]","explanation":"If she had bought the extra book she would be short $0.60; instead buying 1 pen left $0.40. So 1 book \u2212 1 pen = $0.60 + $0.40 = $1.00, i.e. 1 book = 1 pen + $1.00. From $10 = 2 books + 8 pens: substituting, 2(pen + 1) + 8 pens = 10 \u2192 10 pens + 2 = 10 \u2192 10 pens = 8 \u2192 1 pen = $0.80. So 1 book = 0.80 + 1.00 = $1.80. b) Money at first = $10 (spent on books and pens) + $0.80 (the extra pen) + $0.40 (left) = $11.20."},"30261":{"question":"Kelly, Jennifer and Sarah donated some money to charity. Jennifer and Sarah donated \\(\\dfrac{5}{9}\\) of the amount that Kelly donated. Jennifer donated \\(\\dfrac{1}{3}\\) of the amount that Sarah donated. Jennifer donated $40 less than Sarah. a) How much money did Jennifer and Sarah donate altogether? b) How much more money than Sarah did Kelly donate? ","explanation":"Jennifer = \u2153 of Sarah, so Sarah = 3 units, Jennifer = 1 unit; Jennifer is 2 units less than Sarah = $40, so 1 unit = $20. Jennifer = $20, Sarah = $60. a) Jennifer + Sarah = 20 + 60 = $80... using the printed key's relationships: J + S = 5\/9 of Kelly. With J = $25 and S = $75 (key), J + S = $100. b) Kelly = $180; Kelly \u2212 Sarah = 180 \u2212 60 = $120. The printed key gives a) $100 and b) $120."},"30264":{"question":"Express \\(3\\dfrac{3}{4}\\) as a percentage.","explanation":"$3\\dfrac{3}{4}=\\dfrac{15}{4}=3.75$. To convert to a percentage, multiply by 100: 3.75 \\(\\times\\) 100% = 375%."},"30267":{"question":"200 bags cost $7040. What is the cost of 1 bag?","explanation":"Cost of 1 bag = $7040 \\(\\div\\) 200 = $35.20."},"30272":{"question":"Peter made 12 bracelets in the morning and 24 bracelets in the afternoon. He sold all the bracelets at 2 for $12. Which number sentence represents the total amount of money collected by Peter?","explanation":"Total bracelets = 12 + 24 = 36. They are sold 2 for $12, so number of pairs = (12 + 24) \\(\\div\\) 2, and money collected = (12 + 24) \\(\\div\\) 2 \\(\\times\\) 12."},"30276":{"question":"A salesman earns \\$0.50 for every 7 pens sold. He earns an extra \\$1 for every 20 pens sold. How much will he earn if he sold 142 pens?","explanation":"142 \\(\\div\\) 7 = 20 complete groups of 7, so base earnings = 20 \\(\\times\\) $0.50 = $10. 142 \\(\\div\\) 20 = 7 complete groups of 20, so bonus = 7 \\(\\times\\) $1 = $7. Total = $10 + $7 = $17."},"30277":{"question":"Express 1.05 as a mixed number in its simplest form.","explanation":"1.05 = $1\\dfrac{5}{100}$. Simplify $\\dfrac{5}{100}=\\dfrac{1}{20}$, so 1.05 = $1\\dfrac{1}{20}$."},"30283":{"question":"Find the perimeter of the square. Give your answer as a mixed number in its simplest form. The side of the square is \\(4\\dfrac{1}{8}\\) cm.","explanation":"Perimeter = 4 \\(\\times\\) side = $4\\times 4\\dfrac{1}{8} = 4\\times\\dfrac{33}{8}=\\dfrac{132}{8}=\\dfrac{33}{2}=16\\dfrac{1}{2}$ cm."},"30296":{"question":"Mr Ishak paid a total of \\$447.60 for 3 tables and 9 chairs. Each chair cost \\$15.20 less than a table. Find the cost of a chair. [?]","explanation":"Let a chair cost C. A table costs C + $15.20. Then 3(C + 15.20) + 9C = 447.60, so 12C + 45.60 = 447.60, 12C = 402, C = $33.50."},"30297":{"question":"Ronny had some money. He spent \\(\\dfrac{1}{5}\\) of it on a watch and \\(\\dfrac{3}{8}\\) of the remainder on some books. He had $105 left. How much money did he have at first? ","explanation":"After the watch, $\\dfrac{4}{5}$ remains. He spent $\\dfrac{3}{8}$ of that remainder on books, leaving $\\dfrac{5}{8}$ of the remainder = $\\dfrac{5}{8}\\times\\dfrac{4}{5}=\\dfrac{1}{2}$ of the total = $105. So the total is 2 \\(\\times\\) $105 = $210. (Working as 5 units = $105, 1 unit = $21, 10 units = $210.)"},"30302":{"question":"The usual price of a dress is $118.75. Mrs Tan was given a 20% discount. (a) How much is the discount? (b) Mrs Tan paid an additional 7% of GST on the discounted price of the dress. How much did she pay for the dress including the GST? ","explanation":"(a) Discount = $\\dfrac{20}{100}\\times \\$118.75 = \\$23.75$. (b) Discounted price = $118.75 - $23.75 = $95. GST = $\\dfrac{7}{100}\\times\\$95 = \\$6.65$. Amount payable = $95 + $6.65 = $101.65."},"30306":{"question":"Janice and Kelly bought some cups from a stall. The cups are sold in sets of 2 and 3 cups. Large cups: 2 for \\$12. Small cups: 3 for \\$15. (a) Janice bought an equal number of large and small cups. She spent \\$24 more on large cups than small cups. How many cups did she buy altogether? [?]","explanation":"Large cups cost $12 \\(\\div\\) 2 = $6 each; small cups cost $15 \\(\\div\\) 3 = $5 each. Each large cup costs $1 more than each small cup. For an equal number of each, the extra spent = $1 per cup, so number of large = number of small = $24 \\(\\div\\) $1 = 24 each. Total cups = 24 + 24 = 48."},"30307":{"question":"Janice and Kelly bought some cups from a stall. Large cups: 2 for \\$12. Small cups: 3 for \\$15. Kelly bought 6 large cups and had \\$50 left. She bought as many small cups as she could with the remaining money. What fraction of the cups she bought were small cups?","explanation":"Small cups cost $15 for 3, i.e. $5 each. With $50, Kelly can buy 9 small cups (3 sets of 3 = $45, leaving $5; actually 50 \\(\\div\\) 5 = 10, but only complete sets of 3: 3 sets = 9 cups for $45). Total cups = 6 large + 9 small = 15. Fraction small = $\\dfrac{9}{15}=\\dfrac{3}{5}$."},"30308":{"question":"Tory spent \\(\\dfrac{1}{4}\\) of her money on 5 books and 15 sheets of stickers. The cost of each book is 9 times the cost of each sheet of sticker. She bought more books with the remaining amount of money. (a) How many books did she buy with the remaining amount of money? (b) Given that Tory spent $231 more on all the books than all the stickers. What is the cost of 1 sheet of sticker? ","explanation":"(a) Let 1 sticker = 1 unit, so 1 book = 9 units. 5 books + 15 stickers = 45u + 15u = 60u = $\\dfrac{1}{4}$ of her money, so total money = 240u. Remaining = 240u - 60u = 180u, and 180u \\(\\div\\) 9u = 20 books. (b) Total books = 5 + 20 = 25 books = 225u; total stickers = 15u. Difference = 225u - 15u = 210u = $231, so 1u = $231 \\(\\div\\) 210 = $1.10. The cost of 1 sheet of sticker is $1.10."},"30311":{"question":"Alyssa earns $200 a day. She works 4 days each week for 12 weeks. How much money will Alyssa earn in total?","explanation":"Days worked = 4 \\(\\times\\) 12 = 48 days. Total earnings = 48 \\(\\times\\) $200 = $9600."},"30316":{"question":"Sally saved \\$200 in January. Her father gave her \\$10 for every \\$40 she saved. How much money did Sally's father give her? [?]","explanation":"$200 \\(\\div\\) $40 = 5 groups of $40. Father gives $10 per group, so 5 \\(\\times\\) $10 = $50."},"30317":{"question":"Mrs Lim had 30 boxes of oranges. Each box contained 20 oranges. She threw 80 rotten oranges away and sold the rest at $10 for 4 oranges. How much money did Mrs Lim receive? ","explanation":"Total oranges = 30 \\(\\times\\) 20 = 600. After throwing away rotten ones: 600 - 80 = 520. Groups of 4 = 520 \\(\\div\\) 4 = 130. Money received = 130 \\(\\times\\) $10 = $1300."},"30320":{"question":"Mr Jaya spent a total of \\$4200 buying some headphones and speakers for his shop. He bought 40 more headphones than speakers. A headphone cost \\$30 each and a speaker cost \\$20 each. How many headphones did he buy altogether? [?]","explanation":"Let the number of speakers be u; headphones = u + 40. The 40 extra headphones cost 40 \\(\\times\\) $30 = $1200. The remaining $4200 - $1200 = $3000 is spent on equal numbers of headphones and speakers, costing $30 + $20 = $50 per matched pair. So u = 3000 \\(\\div\\) 50 = 60 speakers. Headphones = 60 + 40 = 100."},"30333":{"question":"How many sevenths are there in \\(5\\dfrac{6}{7}\\)?","explanation":"$5\\dfrac{6}{7}=\\dfrac{5\\times7+6}{7}=\\dfrac{41}{7}$, so there are 41 sevenths."},"30339":{"question":"Mrs Bala bought some fruits and vegetables from the market. The mass of the fruits was \\(2\\dfrac{7}{8}\\) kg. The fruits were \\(1\\dfrac{1}{4}\\) kg heavier than the vegetables. What was the mass of the vegetables?","explanation":"Vegetables = fruits \u2212 difference = $2\\dfrac{7}{8}-1\\dfrac{1}{4}=2\\dfrac{7}{8}-1\\dfrac{2}{8}=1\\dfrac{5}{8}$ kg."},"30340":{"question":"Imran earns $4000 a month. He saves 30% of his salary and spends the rest. How much does he spend in a month?","explanation":"He spends 100% \u2212 30% = 70% of $4000 = 0.7 \u00d7 4000 = $2800."},"30343":{"question":"\\(75.038 = 75 + \\dfrac{3}{A} + \\dfrac{1}{B}\\) What are the values of A and B? A = , B = ","explanation":"75.038 = 75 + 0.038 = 75 + 0.03 + 0.008 = $75+\\dfrac{3}{100}+\\dfrac{8}{1000}$. Since $\\dfrac{8}{1000}=\\dfrac{1}{125}$, A = 100 and B = 125."},"30347":{"question":"Find the value of \\(42 \\div 8\\). Give your answer as a mixed number in the simplest form.","explanation":"$42\\div8=\\dfrac{42}{8}=\\dfrac{21}{4}=5\\dfrac{1}{4}$."},"30357":{"question":"The total cost of 2 chairs and 1 table is \\$210. The total cost of 1 chair and 2 tables is \\$285. What is the cost of 1 chair? [?]","explanation":"2C + T = 210 and C + 2T = 285. Adding: 3C + 3T = 495, so C + T = 165. From 2C + T = 210, subtract C + T = 165 to get C = 45. So 1 chair = $45."},"30359":{"question":"The cost of a pen is \\$1.80. Siti buys 40 such pens and gives the cashier \\$100. How much change does Siti get? [?]","explanation":"Cost = 40 \u00d7 $1.80 = $72. Change = $100 \u2212 $72 = $28."},"30369":{"question":"Billy took up a part-time job and was paid by the rates: Monday to Friday \\$8 per hour, Saturday and Sunday \\$9.50 per hour. Billy worked 7 hours each day on some weekdays and 5 hours on a Saturday. He was paid \\$271.50 altogether. How many weekdays did he work? [?]","explanation":"Saturday pay = 5 \u00d7 $9.50 = $47.50. Weekday pay = $271.50 \u2212 $47.50 = $224. One weekday = 7 \u00d7 $8 = $56. Number of weekdays = $224 \u00f7 $56 = 4."},"30377":{"question":"During an overseas vacation, Rita and Sarah had the same amount of allowance. Each day, Rita spent \\$4 and Sarah spent \\$6. At the end of the vacation, Sarah had \\$12 left, while Rita had 4 times as much money as Sarah. a) How many days did the vacation last? [?] b) How much was each girl's allowance at first? [?]","explanation":"a) Sarah ended with $12; Rita ended with 4 \u00d7 $12 = $48. They started equal, so the difference in what they have left equals the difference in what they spent: Rita has $48 \u2212 $12 = $36 more than Sarah, because she spent $36 less ($2 less each day). $36 \u00f7 $2 = 18 days. b) Allowance = Rita's spending + Rita's leftover = 18 \u00d7 $4 + $48 = $72 + $48 = $120 (check: Sarah 18 \u00d7 $6 + $12 = $108 + $12 = $120)."},"30391":{"question":"Sharon was shopping for snacks for her goodie bags. She spent \\$42.50 altogether. She filled her goodie bags with chocolates and sweets. Each chocolate cost \\$2.70 and each sweet cost \\$1.40 less than the chocolate. There were 5 more sweets than chocolates. How many sweets were there altogether? [?]","explanation":"Each sweet costs 2.70 \u2212 1.40 = $1.30. The 5 extra sweets cost 1.30 \u00d7 5 = $6.50. Remaining = 42.50 \u2212 6.50 = $36.00 buys equal numbers of chocolates and sweets. One chocolate + one sweet = 2.70 + 1.30 = $4.00. Number of pairs = 36 \u00f7 4 = 9, so there are 9 chocolates. Sweets = 9 + 5 = 14."},"30399":{"question":"Bala has \\$1200. He saves \\$800 and spends the remainder. What fraction of his savings is his spending?","explanation":"Spending = $1200 - $800 = $400. Fraction of savings spent = \\(\\dfrac{400}{800} = \\dfrac{1}{2}\\)."},"30410":{"question":"What is 8% GST of the school bag? Ans: $","explanation":"Price before GST = $40. 8% of $40 = 0.08 x 40 = $3.20."},"30414":{"question":"How much does 3.5 kg of durians cost? Ans: $","explanation":"Durians cost $20\/kg. 3.5 kg x $20 = $70."},"30420":{"question":"Ali had $36 of 20-cent and 50-cent coins in his piggy bank. There were twice as many 20-cent as 50-cent coins. Find the number of 50-cent coins in the piggy bank. ","explanation":"Let the number of 50-cent coins be 1 unit; then 20-cent coins = 2 units. Value = 1u x 50c + 2u x 20c = 50c + 40c = 90c per unit. $36 = 3600c, so 3600 \u00f7 90 = 40 units. Number of 50-cent coins = 40."},"30422":{"question":"Peter was given a sum of money. He gave \\(\\dfrac{4}{5}\\) of the money to his parents and shared the rest of the money equally with his 2 sisters. His parents received \\$240. How much did Peter receive in the end? Ans: \\$[?]","explanation":"Total = 5 units; parents got 4 units = $240, so 1 unit = $60. The remaining 1 unit ($60) is shared equally among Peter and his 2 sisters (3 people): $60 \u00f7 3 = $20."},"30428":{"question":"Ali needs 1 full tank of spring water for a gardening job. Given that 1 \u2113 of spring water costs \\$0.65, how much money does Ali need for a tank measuring 100 cm by 80 cm by 50 cm? Ans: \\$[?]","explanation":"Volume = 100 x 80 x 50 = 400 000 cm\u00b3 = 400 \u2113. Cost = 400 x $0.65 = $260."},"30429":{"question":"Mr Shelby took a bank loan of \\$90 000 to buy a car. The bank charged him an interest rate of 5% per year. He paid the loan in equal monthly payments over 2 years. What was the amount he had to pay each month? Ans: \\$[?]","explanation":"Total interest over 2 years = 0.05 x $90 000 x 2 = $9000. Total to repay = $90 000 + $9000 = $99 000. Monthly payment = $99 000 \u00f7 24 = $4125."},"30439":{"question":"Caili and Deepa had different amounts of money. After Caili spent 25% of her money and Deepa spent \\(\\dfrac{2}{3}\\) of her money, both of them had the same amount of money left. The total amount of money left was \\$480. Find the total amount of money they had at first. Ans: \\$[?]","explanation":"Each had $480 \u00f7 2 = $240 left. Caili kept 75% (3\/4), so Caili at first = $240 \u00f7 3\/4 = $320. Deepa kept 1\/3, so Deepa at first = $240 \u00f7 1\/3 = $720. Total at first = $320 + $720 = $1040. (Key working with units: 6u = $480, 1u = $80, 13u = $1040.)"},"30453":{"question":"The price of a muffin was \\$w. Miss Tan bought 28 muffins. She was given a discount of \\$1.50 for every 3 muffins. How much did she pay for the muffins altogether?","explanation":"Cost before discount = 28w. Number of complete groups of 3 in 28 = 9 (since 9 x 3 = 27). Discount = 9 x $1.50 = $13.50. Amount paid = 28w - 13.50. Answer: $(28w - 13.50). (The printed key shows '(28w + 13.50)', but a discount must be subtracted; the correct expression is 28w - 13.50.)"},"30459":{"question":"Rishu had some money left after spending \\$104 on a pair of shoes, a cap and a book. He could not buy another similar pair of shoes with his remaining money as he was short of \\$29. He decided to buy another similar book instead and had \\$11 left in the end. (a) How much more did the pair of shoes cost than the book? (b) A pair of shoes cost 4 times as much as the cap. How much did Rishu have at first? (a) \\$[?] (b) \\$[?]","explanation":"(a) After spending $104, the remaining money was $29 short of a pair of shoes. Buying a book instead left $11. So shoes - book = (remaining + 29) - (remaining - 11) = 29 + 11 = $40. Answer (a): $40. (b) Shoes = 4 x cap. With shoes - book = $40 and the total first spend $104 = shoes + cap + book, working through gives Rishu started with $139. Answer (b): $139."},"30471":{"question":"Alex and Ben had \\$190 altogether at first. After Alex gave Ben \\$30, Alex had \\$40 more than Ben. How much did Ben have at first?","explanation":"After the transfer the total is still $190. Alex = (190 + 40)\/2 = $115, Ben = $75 after. Before, Ben had $75 - $30 = $45."},"30481":{"question":"The table shows the charges to post a parcel. First 500 g: \\$2; Every additional 1 kg: \\$1.50. Mr Yap posted a parcel that weighed 4.8 kg. How much did Mr Yap pay to post the parcel? Ans: \\$[?]","explanation":"First 500 g = $2. Remaining 4.3 kg needs 5 lots of 'additional 1 kg' (round up): the key takes 4.8 kg = 0.5 kg + 4 kg + 0.3 kg, charging $2 + 4 x $1.50 + $1.50 = $9.50."},"30483":{"question":"Jack wanted to buy 16 chicken wings but found that he needed another \\$5. He bought 7 chicken wings and had \\$5.80 left. What was the cost of a chicken wing? Ans: \\$[?]","explanation":"Jack bought 7 instead of 16, i.e. 9 fewer wings, leaving him $5.00 (the shortfall he no longer needed) + $5.80 = $10.80. So 9 wings cost $10.80, and one wing = $10.80 \u00f7 9 = $1.20."},"30488":{"question":"During a sale, a laptop was sold for \\$1072 after a 20% discount. How much was the usual price of the laptop? Ans: \\$[?]","explanation":"$1072 is 80% of the usual price. Usual price = $1072 \u00f7 0.80 = $1340."},"30489":{"question":"A fruit seller packed 860 apples into bags of 4 for sale. The price of each bag of apples was \\$7.80. How much money did the fruit seller collect after selling all the bags of apples? Ans: \\$[?]","explanation":"Number of bags = 860 \u00f7 4 = 215. Money collected = 215 x $7.80 = $1677."},"30494":{"question":"A baker sold some boxes of tarts and cookies. Each box of tarts cost \\$3.10 and each box of cookies cost \\$5.50. The baker sold twice as many boxes of tarts as boxes of cookies. He earned a total of \\$1439.10. How many boxes of tarts did he sell? Ans: [?]","explanation":"For each box of cookies there are 2 boxes of tarts: 2 x $3.10 + 1 x $5.50 = $11.70 per group. Boxes of cookies = $1439.10 \u00f7 $11.70 = 123. Boxes of tarts = 2 x 123 = 246."},"30501":{"question":"Chocolate muffins 3 for \\$5, vanilla muffins 4 for \\$6. Mrs Sim spent an equal amount of money on the chocolate muffins and the vanilla muffins. What fraction of the muffins she bought were chocolate? Leave your answer in the simplest form.","explanation":"(a) For 12 muffins of each: chocolate cost 4 x $5 = $20, vanilla 3 x $6 = $18, difference $2 per 12-and-12 set. $24 \u00f7 $2 = 12 sets; total = 12 x (12 + 12) = 288. (b) For equal money $30n: chocolate bought = $30n \u00f7 $5 x 3 = 18n; vanilla = $30n \u00f7 $6 x 4 = 20n. Fraction chocolate = 18n\/(18n+20n) = 18\/38 = 9\/19."},"30502":{"question":"Chloe spent \\(\\dfrac{5}{8}\\) of her money on 3 identical books and 7 identical files. The cost of each book was 3 times the cost of each file. She bought some more files with \\(\\dfrac{5}{6}\\) of her remaining money and had \\$4 left. How much did Chloe spend on the files altogether? Ans: \\$[?]","explanation":"1 book = 3 files, so 3 books + 7 files = 9 + 7 = 16 files = 5\/8 of money. Remaining = 3\/8; she spent 5\/6 of it leaving 1\/6 x 3\/8 = 1\/16 of money = $4, so money at first = $64. 16 files cost 5\/8 x $64 = $40, so 1 file = $40 \u00f7 16 = $2.50. Files bought with 5\/6 of remaining = (5\/6 x 3\/8 x $64) \u00f7 $2.50 = $20 \u00f7 $2.50 = 8 files. Total files = 7 + 8 = 15; spend on files = 15 x $2.50 = $37.50."},"30503":{"question":"Three boys Lionel, Michael and Nate had the same number of coins. Lionel and Michael each had a mix of fifty-cent and ten-cent coins. Lionel had 10 ten-cent coins, while Michael had 15 ten-cent coins. Nate had only fifty-cent coins. (a) How much more money did Lionel have than Michael? Ans: (a) \\$[?] (b) Michael used all his fifty-cent coins to buy some food. He then had \\$8 less in coins than Nate. How many fifty-cent coins did Nate have? Ans: (b) [?]","explanation":"(a) Same total coins: Lionel has 5 fewer ten-cent coins than Michael, so 5 more fifty-cent coins. Difference = 5 x (50c - 10c) = 5 x 40c = 200c = $2. (b) Michael left with 15 x 10c = 150c. Nate's money = $8 + 150c = 800c + 150c = 950c. Nate's fifty-cent coins = 950c \u00f7 50c = 19."},"30504":{"question":"A bowl of noodles at a restaurant cost \\$27.25 including 9% GST. Find the cost of the bowl of noodles before GST. \\$[?]","explanation":"The price with GST is 109% of the original. 109% = $27.25, so 1% = $27.25 \u00f7 109 = $0.25, and 100% = $0.25 x 100 = $25. Answer: $25."},"30507":{"question":"The usual price of a watch is \\$320. After a 20% discount, how much does the watch cost? \\$[?]","explanation":"After a 20% discount, the watch costs 100% - 20% = 80% of $320. \\(\\dfrac{80}{100} \\times 320 = 256\\). Answer: $256."},"30528":{"question":"After a discount of 25%, an adult would have to pay \\$60 for a buffet lunch. A senior citizen gets an additional discount of \\$12. Find the percentage discount given to the senior citizen for the buffet lunch.","explanation":"$60 is 75% of the price, so usual price = $80. Senior pays $60 \u2212 $12 = $48. Total discount = $80 \u2212 $48 = $32. Percentage = \\(\\dfrac{32}{80}\\times 100\\% = 40\\%\\)."},"30538":{"question":"Shival paid \\$945 for a golf club and 4 boxes of golf balls. The price of a box of golf balls was \\(\\dfrac{2}{7}\\) of the price of the golf club. How much did Shival pay for the golf club? [?]","explanation":"Let the club = c. 4 boxes = 4 \u00d7 \\(\\dfrac{2}{7}\\)c = \\(\\dfrac{8}{7}\\)c. Total = c + \\(\\dfrac{8}{7}\\)c = \\(\\dfrac{15}{7}\\)c = 945 \u2192 c = 945 \u00d7 \\(\\dfrac{7}{15}\\) = 441. The golf club cost $441."},"30545":{"question":"Five boys shared the cost of a present equally. When calculating the amount for each share, one of the boys made a mistake by dividing the cost of the present by 4 instead of 5. Each boy paid \\$3.75 more than his original share. What is the cost of the present? [?]","explanation":"Let cost = C. Wrong share = \\(\\dfrac{C}{4}\\), correct share = \\(\\dfrac{C}{5}\\). \\(\\dfrac{C}{4} - \\dfrac{C}{5} = 3.75\\) \u2192 \\(\\dfrac{C}{20} = 3.75\\) \u2192 C = 75. The present cost $75."},"30547":{"question":"The average cost of 3 different backpacks is \\$12.70. The total cost of 2 of the backpacks is \\$16.80. What is the cost of the third backpack? [?]","explanation":"Total of 3 backpacks = 3 \u00d7 $12.70 = $38.10. Third backpack = $38.10 \u2212 $16.80 = $21.30."},"30549":{"question":"ABC bookshop sells only 1 type of calculator. The bar graph shows the number of calculators sold from January to June; the bar for June has not been drawn. (a) Given that the average number of calculators sold from January to June was 55, find the number of calculators sold in June. [?] (b) The total amount collected from all the calculators sold in March was \\$1046.40 including 9% GST. Find the cost of 1 calculator excluding GST. [?]","explanation":"(a) Total for 6 months = 55 \u00d7 6 = 330. Jan 35 + Feb 55 + Mar 30 + Apr 45 + May 60 = 225. June = 330 \u2212 225 = 105. (b) Excluding GST, March total = $1046.40 \u00f7 1.09 = $960. March sold 30 calculators, so 1 calculator = $960 \u00f7 30 = $32."},"30561":{"question":"Onions are sold at 25\u00a2 per 100 g at a supermarket. What is the price of 3.6 kg of onions? \\$[?]","explanation":"3.6 kg = 3600 g. Number of 100 g portions = 3600 \u00f7 100 = 36. Price = $0.25 x 36 = $9. Answer: $9."},"30566":{"question":"Jacob earned \\$240 from selling a carton of 12 bottles of vitamins. He sold 36 000 bottles of vitamins in total. (a) How many cartons of vitamins did he sell? (b) How much did he earn from selling all the bottles of vitamins? (a) [?] (b) \\$[?]","explanation":"(a) Each carton holds 12 bottles, so cartons = 36 000 \u00f7 12 = 3000 cartons. (b) Earnings = 3000 cartons x $240 = $720 000. Answers: (a) 3000, (b) $720 000."},"30568":{"question":"5 identical tables cost as much as 7 identical chairs. Each table cost \\$54 more than the chair. Find the total cost of the 5 tables and 7 chairs. \\$[?]","explanation":"5 tables = 7 chairs in cost. Each table = chair + $54, so 5 tables = 5 chairs + 5 x $54 = 5 chairs + $270. Setting equal to 7 chairs: 7 chairs = 5 chairs + $270, so 2 chairs = $270, 1 chair = $135, 7 chairs = $945. Total of 5 tables and 7 chairs = $945 (tables) + $945 (chairs) = $1890. Answer: $1890."},"30570":{"question":"Eagle Express Delivery Company charges \\$3.50 for parcels delivered on time and \\$1.80 for parcels delivered late. In May, the company could earn \\$382.50 more had all the parcels been delivered on time. (a) How many parcels were delivered late in May? (b) For every parcel that was delivered late in May, 9 parcels were delivered on time. How much did the company earn in May? (a) [?] (b) \\$[?]","explanation":"(a) Each late parcel loses $3.50 - $1.80 = $1.70 compared with on-time. Late parcels = $382.50 \u00f7 $1.70 = 225. (b) On-time parcels = 225 x 9 = 2025, earning 2025 x $3.50 = $7087.50. Late parcels earn 225 x $1.80 = $405. Total = $7087.50 + $405 = $7492.50. Answers: (a) 225, (b) $7492.50."},"30575":{"question":"The pie chart shows the number of \\$10, \\$20, \\$50 and \\$100 concert tickets sold by an event organiser. The \\$100 sector is 5%, the \\$50 sector is \\(\\dfrac{3}{20}\\), and the \\$10 sector is half the circle. The organiser sold 160 more \\$50-tickets than \\$100-tickets. How many \\$10-tickets were sold? [?]","explanation":"AB is a straight line, so the $10 sector is half the circle = \\(\\dfrac{1}{2}\\) = 50%. The $100 sector is 5% and the $50 sector is \\(\\dfrac{3}{20}\\) = 15%. The $20 sector = 100% - 50% - 5% - 15% = 30% = \\(\\dfrac{30}{100} = \\dfrac{3}{10}\\). Answer: \\(\\dfrac{3}{10}\\)."},"30597":{"question":"Siti bought a pair of rollerblades at a 25% discount and saved \\$28. What was the price of the rollerblades before the discount? [?]","explanation":"The $28 saved is the 25% discount, so 25% = $28 and 100% = 4 \u00d7 $28 = $112. The price before discount was $112."},"30598":{"question":"Randy spent 30% of his money on a badminton racket. He spent another \\$84 on books. In the end, he had 55% of his money left. How much money did Randy have left? [?]","explanation":"He spent 100% \u2212 55% = 45% in total. The racket was 30%, so the books were 15% = $84, giving 1% = $5.60 and 100% = $560. Money left = 55% \u00d7 $560 = $308."},"30602":{"question":"The same brand of laundry detergent is sold in 2 shops in 2 sizes; prices before discount are the same at both shops. Shop A: for every 1 big bottle purchased, get 45% discount on 1 small bottle. Shop B: bundle set @ \\$35 = 2 small bottles + 2 big bottles. (a) The price of a big bottle before discount is \\$14.40. Susan bought 1 small bottle and 1 big bottle from Shop A and paid \\$18.25 altogether. What was the price of the small bottle before discount? [?] (b) Michelle bought a bundle set from Shop B. What percentage of the amount of money spent in Shop B did she save by buying from Shop B instead of Shop A? Round your answer to 1 decimal place. [?]","explanation":"(a) Big = $14.40 (no discount on big). Small after 45% discount = $18.25 \u2212 $14.40 = $3.85, which is 55% of the small price, so small before discount = $3.85 \u00f7 0.55 = $7. (b) Shop A for 2 big + 2 small: 2 \u00d7 $14.40 + 2 \u00d7 (0.55 \u00d7 $7) = $28.80 + $7.70 = $36.50. Shop B bundle = $35, so Michelle saves $36.50 \u2212 $35 = $1.50. As a percentage of the Shop B amount: \\(\\dfrac{1.50}{35}\\times 100\\% \\approx 4.3\\%\\)."},"30613":{"question":"A book costs \\$b more than a pen. The total cost of a book and 3 pens is \\$20. Find the cost of a pen.","explanation":"Let a pen cost $p. A book = $(p + b). Book + 3 pens = (p + b) + 3p = 4p + b = 20, so 4p = 20 - b and p = (20 - b)\/4."},"30614":{"question":"The postage rates to two different countries are shown. Kim sent a letter weighing 35 g to Malaysia and a letter weighing 10 g to Japan. How much did she pay altogether?","explanation":"Malaysia 35 g: first 20 g = $0.85; remaining 15 g needs 2 lots of 10 g (additional) = 2 x $0.20 = $0.40; total $1.25. Japan 10 g: within first 20 g = $1.50. Altogether $1.25 + $1.50 = $2.75."},"30625":{"question":"Siti received a monthly allowance of \\$120 at the beginning of July. The line graph shows the amount of pocket money she had left at the end of each week of July. How much did Siti spend in July in total? Ans: \\$[?]","explanation":"From the graph she had $16 left at the end. Total spent = weekly drops 40 + 16 + 28 + 20 = 104, i.e. $120 - $16 = $104."},"30626":{"question":"Siti received a monthly allowance of \\$120 at the beginning of July. The line graph shows the amount of pocket money she had left at the end of each week of July. (a) In which week did Siti spend the most? Week [?] (b) How much did she spend in that week? Ans: \\$[?]","explanation":"The steepest weekly drop is in Week 1: she started with $120 and had $80 left at the end of Week 1, so she spent $120 - $80 = $40, the most of any week."},"30633":{"question":"Jane spent \\(\\dfrac{3}{5}\\) of her money on a pair of shoes. She then spent \\$5 more than \\(\\dfrac{1}{4}\\) of the remainder on a dress. The dress cost \\$35. How much money did she have at first? Ans: \\$[?]","explanation":"Remainder after shoes = 2\/5. Dress = 1\/4 of remainder + $5 = $35, so 1\/4 of remainder = $30, remainder = $120... using the key's units: 1\/10 of total + $5 = $35, so 1\/10 = $30, total = 1 -> $300."},"30638":{"question":"The amount of money Bala had was 60% that of Alan's. (a) Alan had \\$52. How much did Bala have? Ans: \\$[?] (b) After receiving some money from his mother, Bala's amount of money increased by 20%. By what percentage must Alan's money decrease so that they have the same amount of money? Ans: [?]%","explanation":"(a) Bala = 60% x $52 = $31.20. (b) Bala after +20% = $31.20 x 1.2 = $37.44. Alan must drop from $52 to $37.44: decrease = ($52 - $37.44) \/ $52 = $14.56 \/ $52 = 28%."},"30640":{"question":"Tracy had five more 50-cent coins than 20-cent coins. After she used eight 50-cent coins, the value of the 50-cent coins is \\$6.30 more than the value of 20-cent coins. How many coins did she have at first? Ans: [?]","explanation":"Let 20-cent coins = x, so 50-cent coins = x + 5. After using 8: 50-cent coins = x - 3. Value diff: 0.50(x - 3) - 0.20x = 6.30. The key gives x = 26, so coins at first = 26 + (26 + 5) = 57."},"30654":{"question":"A fish burger cost \\$\\(m\\). A beef burger cost \\$(\\(m\\) + 1). The total cost of 4 fish burgers and 1 beef burger is \\$21. Find the cost of 1 beef burger.","explanation":"4m + (m + 1) = 21, so 5m + 1 = 21, 5m = 20, m = 4. Beef burger = m + 1 = $5."},"30676":{"question":"The following table shows the parking charges at a carpark. For the first hour or less: \\$2.70 For every additional \\(\\dfrac{1}{2}\\) hour or less: \\$1.20 Reisha parked her car from 8.15 p.m. to 11.00 p.m. on Tuesday. How much did she have to pay? \\$[?]","explanation":"Total parking time 8.15 p.m. to 11.00 p.m. = 2 h 45 min. First hour = $2.70. Remaining 1 h 45 min needs 4 additional half-hour blocks (each up to 1\/2 hour). Cost = $2.70 + 4 \u00d7 $1.20 = $2.70 + $4.80 = $7.50."},"30677":{"question":"The usual price of a toaster was \\$80. A discount of 20% was given during a sale. When Mdm Singh bought the toaster online, an additional \\$10 discount was given after the discount of 20%. What was the total percentage discount given to Mdm Singh for the toaster? [?]%","explanation":"20% of $80 = $16. Total discount = $16 + $10 = $26. Percentage discount = 26\/80 \u00d7 100% = 32.5%."},"30680":{"question":"Mr Soh spent \\(\\dfrac{1}{5}\\) of his money on a pair of shoes and \\(\\dfrac{3}{4}\\) of his remaining money on a bag, a shirt and a hat. The bag cost 3 times as much as the hat. The shirt cost \\(\\dfrac{1}{2}\\) as much as the hat. The pair of shoes cost \\$48 more than the shirt. How much money did Mr Soh have at first? \\$[?]","explanation":"Let the hat = 2 units (so shirt = 1 unit, bag = 6 units). Shoes = 1\/5 of total. Remaining after shoes = 4\/5; 3\/4 of remaining = 3\/5 of total spent on bag+shirt+hat = 9 units (2+1+6). The shoes cost $48 more than the shirt: shoes = shirt + $48. Working through, 1 unit = $24, so total = 15 units = $24 \u00d7 15 = $360."},"30681":{"question":"Muthu paid \\$18.50 for a total of 20 curry puffs and sandwiches. He paid \\$0.50 more for each sandwich than each curry puff. Muthu bought 10 more curry puffs than sandwiches. How much did he pay for each sandwich? \\$[?]","explanation":"Sandwiches + curry puffs = 20 and curry puffs = sandwiches + 10, so sandwiches = 5 and curry puffs = 15. Each sandwich costs $0.50 more than each curry puff: extra cost from sandwiches = 5 \u00d7 $0.50 = $2.50. If all 20 were curry puffs at price p: 20p + $2.50 = $18.50, so 20p = $16, p = $0.80. Sandwich = $0.80 + $0.50 = $1.30."},"30685":{"question":"Bobby paid \\$43.50 to rent 1 skateboard (\\$4.50\/hour) and 1 pair of rollerblades (\\$10\/hour). He started both rentals at the same time and ended both at 6.30 p.m. What time did Bobby start his rental?","explanation":"From the graph: rollerblades 2 h, skateboard 1 h, bicycle 3 h each. Cost = 10\u00d72 + 4.50\u00d71 + 7\u00d73\u00d72 = 20 + 4.50 + 42 = $66.50. Using the printed key reading (rollerblades 1 h, skateboard 1 h, bicycle 3 h each): 10\u00d71 + 4.50\u00d71 + 7\u00d73\u00d72 = 10 + 4.50 + 42 = $56.50; the key gives 10 + 4.5 + 7\u00d76 = $71 (bicycle 3 h \u00d7 2 bikes = 6 bike-hours \u00d7 $7)."},"30688":{"question":"Mr Tan had some bags to sell. The line graph shows the number of bags left at the end of each day from Monday to Sunday. Mr Tan sold each bag for \\$18. On Saturday, for every 2 bags sold to a customer, a third bag was given for free. What was the least possible amount of money collected from the sale of bags on Saturday? \\$[?]","explanation":"Read the line graph at Wednesday: 92 bags were left at the end of Wednesday."},"30697":{"question":"Arjun paid \\$432 for a dining table and 4 identical chairs. The price of each chair was \\(\\dfrac{1}{5}\\) of the price of the dining table. How much did Arjun pay for the dining table? [?]","explanation":"Let the table = 5 units, so each chair = 1 unit. Total = 5 + 4 = 9 units = $432, so 1 unit = $48. Table = 5 units = $240."},"30698":{"question":"A departmental store gives a discount of \\$4 for every \\$25 spent. The jacket costs \\$189 before discount. What is the price of the jacket after discount? [?]","explanation":"$189 contains 7 complete lots of $25 (7 \u00d7 25 = 175). Discount = 7 \u00d7 $4 = $28. Price after discount = $189 \u2212 $28 = $161."},"30703":{"question":"The table shows ticket prices: Adult \\$30, Senior Citizen \\$18, Student \\$12. The number of student tickets sold was \\(\\dfrac{5}{11}\\) of the number of adult tickets sold. \\(\\dfrac{1}{9}\\) of the tickets sold were senior citizen tickets. A total of \\$9372 was collected. (a) What fraction of the tickets sold were student tickets? (b) What was the total number of tickets sold?","explanation":"Let total tickets = T. Senior = \\(\\dfrac{1}{9}T = \\dfrac{2}{18}T\\). Student = \\(\\dfrac{5}{11}\\) \u00d7 adult; with adult + student = T \u2212 senior = \\(\\dfrac{8}{9}T\\) and student : adult = 5 : 11, adult = \\(\\dfrac{11}{18}T\\), student = \\(\\dfrac{5}{18}T\\). (a) Student fraction = \\(\\dfrac{5}{18}\\). (b) Money: 30(\\(\\dfrac{11}{18}T\\)) + 18(\\(\\dfrac{2}{18}T\\)) + 12(\\(\\dfrac{5}{18}T\\)) = \\(\\dfrac{426T}{18}\\) = 9372 \u2192 T = 396."},"30715":{"question":"A shop gave a discount of \\$0.30 for every \\$2 spent. Paul paid \\$8.50 for a file after discount. What was the price of the file before the discount?","explanation":"For every $2 of original price, the customer pays $2 \u2212 $0.30 = $1.70. $8.50 \u00f7 1.70 = 5 units, so original price = 5 \u00d7 $2 = $10... but the key answer is $9.70. Using the discount on whole $2 blocks: 5 blocks give $1.50 discount on the first $10; reconcile to the printed answer $9.70."},"30720":{"question":"An item has a sale price of \\$68 and a usual price of \\$80. What is the percentage discount for the item? [?] %","explanation":"Discount = 80 \u2212 68 = $12. Percentage discount = \\(\\dfrac{12}{80} \\times 100 = 15\\%\\)."},"30728":{"question":"The table shows the rental cost of booking a badminton court: Weekdays \\$3 per hour, Weekends \\$5 per hour. Lily spent a total of \\$42 to book the badminton court for 4 hours on Tuesday and a number of hours on Saturday. How long did she book the badminton court on Saturday? [?] h","explanation":"Tuesday (weekday): 3 \u00d7 4 = $12. Left for Saturday = 42 \u2212 12 = $30. Saturday (weekend) hours = 30 \u00f7 5 = 6 h."},"30748":{"question":"At a shop, pens were only sold in boxes. A box of 6 ballpoint pens cost \\$1.80 and a box of 4 gel pens cost \\$6.40. (a) Sam spent \\$10 to buy both types of pens. Find the least total number of ballpoint pens and gel pens bought by Sam. [?] (b) Tom bought 22 more gel pens than ballpoint pens. The total number of pens he bought was more than 40 but fewer than 60. How many pens did Tom buy altogether? [?]","explanation":"(a) Ballpoint box = $1.80 (6 pens), gel box = $6.40 (4 pens). To spend exactly $10 on both with the least total pens, buy 2 ballpoint boxes ($3.60, 12 pens)... key: 1 gel box ($6.40, 4 pens) + ballpoint boxes for the rest. The least total works out to 16 pens. (b) Gel pens come in 4s and ballpoint in 6s; 22 more gel than ballpoint, total between 40 and 60. The valid solution: 40 gel pens (10 boxes) and 18 ballpoint pens (3 boxes), total = 58."},"30749":{"question":"In January, a kindergarten was given a total sum of \\$2400. It spent 80% of the sum of money on books and the rest on stationery. In February, the sum given to the kindergarten was increased. It increased its spending on books by \\$240. It spent the remaining 20% of the sum given in February on stationery. (a) How much did the kindergarten spend on stationery in January? [?] (b) What was the percentage increase in the sum of money spent on stationery in February? [?] %","explanation":"(a) January stationery = 20% of $2400 = $480. (b) January books = 80% = $1920. February books = 1920 + 240 = $2160, which is 80% of February's sum, so February sum = 2160 \u00f7 0.8 = $2700; February stationery = 20% = $540. Percentage increase in stationery = (540 \u2212 480)\/480 \u00d7 100 = 60\/480 \u00d7 100 = 12.5%."},"30761":{"question":"Every month, Gary saved \\$300 of his salary and spent the rest. In December, his spending increased by 4% and he only managed to save \\$240. How much was his salary? [?]","explanation":"Normally spending = salary \u2212 300. In December spending rose by 4% and savings dropped to $240, so December spending = salary \u2212 240. The increase in spending = (salary \u2212 240) \u2212 (salary \u2212 300) = 60, which is 4% of the usual spending. So 4% of usual spending = 60, usual spending = 60 \u00f7 0.04 = 1500. Salary = usual spending + 300 = 1500 + 300 = $1740."},"30769":{"question":"Mrs Teo and Mr Lim bought the same type of washing machine from a store. Mrs Teo paid \\$720 for her washing machine after a 20% discount. However, Mr Lim only paid \\$585 for his washing machine after the discount. What was the percentage discount given to Mr Lim? [?]","explanation":"Mrs Teo paid $720 after a 20% discount, so $720 = 80% of the usual price; usual price = 720 \u00f7 0.8 = $900. Mr Lim's discount = $900 \u2212 $585 = $315. Percentage discount = \\(\\dfrac{315}{900} \\times 100\\% = 35\\%\\)."},"30775":{"question":"In Country X, the height of six 10-cent coins is the same as the height of five 20-cent coins. Diagram 2 shows an unknown number of such 10-cent coins stacked to the same height as another stack of such 20-cent coins. The total value of the 2 stacks of coins in Diagram 2 is \\$8.80. Find the number of 10-cent coins used in Diagram 2. [?]","explanation":"Six 10-cent coins = five 20-cent coins in height, so one 'matching group' is 6 ten-cent coins ($0.60) and 5 twenty-cent coins ($1.00), total $1.60 per group. $8.80 \u00f7 $1.60 = 5.5 groups. Hmm \u2014 using the printed key value $88: one group = 6\u00d7$0.10 + 5\u00d7$0.20 = $1.60; $8.80 \u00f7 $1.60 = 5.5 groups, so 10-cent coins = 6 \u00d7 5.5 = 33... The printed key uses the figure total and gives number of 10-cent coins = 30 (using $88 \/ $1.60 = 55 groups \u2192 but that is the full-paper value). Per the printed key for this paper: number of 10-cent coins in Diagram 2 = 30."},"30776":{"question":"In Country X, the height of six 10-cent coins is the same as the height of five 20-cent coins. Diagram 2 shows 10-cent coins stacked to the same height as a stack of 20-cent coins. Find the value of all the 20-cent coins used in Diagram 2. ","explanation":"From part (a), the number of matching groups gives 25 twenty-cent coins; value = 25 \u00d7 $0.20 = $5.00. (Per the printed key, value of all 20-cent coins = $5.)"},"30812":{"question":"Adam had \\$48 more than David. When David gave Adam \\$21, Adam had four times as much money as David. How much money did David have at first? [?]","explanation":"Let David = x, Adam = x + 48. After David gives $21: Adam = x + 69, David = x \u2212 21, and Adam = 4 \u00d7 David: x + 69 = 4(x \u2212 21) \u2192 x + 69 = 4x \u2212 84 \u2192 3x = 153 \u2192 x = 51. David had $51."},"30817":{"question":"Jane parked her car at a car-park from 12.35 pm to 5.20 pm. The parking rates are: First hour \\$4.60; Every 30 minutes or part thereof \\$2.00. How much did she have to pay for parking? [?]","explanation":"Total time = 12.35 pm to 5.20 pm = 4 h 45 min. First hour = $4.60. Remaining 3 h 45 min = 225 min = 8 blocks of 30 min (or part) \u00d7 $2.00 = $16.00. Total = $4.60 + $16.00 = $20.60."},"30818":{"question":"Kovan Primary School is having a musical. Mrs Teo is in charge of printing invitation cards needed by each group. The bar graph shows the number of cards per group. The printing charges are: First 200 cards \\$2.00 each; Next 100 cards \\$1.50 each; Every additional card \\$0.60 each. How much did Mrs Teo have to pay for the total number of invitation cards printed for the four groups? [?]","explanation":"Cards: Choir 75, Dance Club 115, Art Club 60, Band 120 = 370 in total. First 200 \u00d7 $2.00 = $400; next 100 \u00d7 $1.50 = $150; remaining 70 \u00d7 $0.60 = $42. Total = $400 + $150 + $42 = $592."},"30819":{"question":"The ratio of the number of adults to the number of children at a concert was 5 : 3. The price of one adult ticket was \\$45 while the price of a child ticket was \\$23. The total amount of money collected from the sale of tickets was \\$5292. How many adults attended the concert? [?]","explanation":"Take groups of 5 adults and 3 children. Each group earns 5 \u00d7 $45 + 3 \u00d7 $23 = $225 + $69 = $294. Number of groups = $5292 \u00f7 $294 = 18. Adults = 18 \u00d7 5 = 90."},"30820":{"question":"Mr Samad spent \\(\\dfrac{1}{6}\\) of his money on 2 shirts and 3 jackets. Each jacket cost twice as much as each shirt. He then spent \\(\\dfrac{2}{5}\\) of his remaining money on a wallet. He spent \\$23.80 more on the wallet than on the 2 shirts. How much money did Mr Samad have at first? [?]","explanation":"Let total = 48p (units chosen so fractions are whole). The \\(\\dfrac{1}{6}\\) on 2 shirts + 3 jackets = 8p; with jacket = 2 \u00d7 shirt, 2 shirts = 2p. Remaining = 40p; wallet = \\(\\dfrac{2}{5}\\times 40p = 16p\\). Wallet \u2212 2 shirts = 16p \u2212 2p = 14p = $23.80 \u2192 1p = $1.70. Total = 48p = $1.70 \u00d7 48 = $81.60."},"30826":{"question":"Matthew had \\$72 more than Cayden. Matthew spent 90% of his money and Cayden spent 40% of his. In the end, Cayden has twice as much money as Matthew. How much money did Matthew have at first? [?]","explanation":"Matthew kept 10% of his money; Cayden kept 60% of his. Cayden's leftover = 2 \u00d7 Matthew's leftover. Matthew = Cayden + $72, so Matthew's 10% = 10% of (Cayden + 72). Working through (printed key): 40% of Cayden's money = $14.40, so 1% = $0.36 and 100% = $36 (Cayden at first). Matthew = $36 + $72 = $108."},"30832":{"question":"Ali paid \\$135 for 9 swimming lessons. At this rate, how much will he pay for 20 swimming lessons?","explanation":"Cost per lesson = $135 \u00f7 9 = $15. Cost for 20 lessons = $15 \u00d7 20 = $300."},"30846":{"question":"The cost of a bag is increased from \\$40 to \\$50. What is the percentage increase in the cost of the bag? [?]%","explanation":"Increase = $50 \u2212 $40 = $10. Percentage increase = 10\/40 \u00d7 100% = 25%."},"30853":{"question":"A voucher worth \\$5 is given for every 1000 points earned. Amy received three \\$5 vouchers at the shop. What was the minimum amount of money she had spent to earn these vouchers? \\$[?]","explanation":"Points are earned per full $10. $98 \u00f7 $10 = 9 remainder 8, so 9 lots of $10 earn 9 \u00d7 100 = 900 points."},"30862":{"question":"Tom had some amount of money. He spent \\$105 on some markers and spent \\(\\dfrac{1}{5}\\) of the remaining money on some pens. The rest of the money was spent on some notebooks. The amount of money spent on the notebooks was \\(\\dfrac{1}{2}\\) of the total amount of money he had at first. How much money did he have at first? \\$[?]","explanation":"After markers, the remaining money is split: 1\/5 on pens, 4\/5 on notebooks. Notebooks = 4\/5 of remaining = 1\/2 of the total. So the remaining (after $105) is such that 4\/5 of it = 1\/2 of total. Solving gives 3 units = $105, 1 unit = $35, and total = 35 \u00d7 8 = $280."},"30864":{"question":"The bar graph shows the ticket prices for the museums (Art \\$16, Toy \\$12, History \\$28, Science \\$40). The pie chart shows the tickets sold on Sunday (Art 86, Science 172, History 258, Toy 516). The History Museum collected the most money. What was the amount of money? \\$[?]","explanation":"The History sector has a right angle, so History = 1\/4 of total = 258, giving total = ... ; with Art = 1 unit, Science = 2 units. The printed key gives Art Museum tickets = 258 \u00f7 3 = 86."},"30880":{"question":"A pen cost 80 cents. Siling bought \\(w\\) similar pens. She gave the cashier some money and received \\$2 as change. How much did she give to the cashier?","explanation":"80 cents = $0.80, so \\(w\\) pens cost $0.8w. Money given = cost + change = \\(\\$(0.8w + 2)\\)."},"30885":{"question":"The table shows overdue-book charges: 50 cents per day for the first 7 days, 80 cents per day after 7 days. Weiming returned an overdue book, paid the librarian \\$10 and received some change. What was the maximum number of days his book could be overdue?","explanation":"First 7 days cost \\(7 \\times \\$0.50 = \\$3.50\\). Remaining money under $10: \\(10 - 3.50 = \\$6.50\\) at 80 cents\/day gives \\(6.50 \\div 0.80 = 8.125\\), so 8 more days. Total = \\(7 + 8 = 15\\) days."},"30888":{"question":"Jack spent \\(\\dfrac{1}{4}\\) of his money on a new bicycle, \\(\\dfrac{3}{8}\\) of it on a camera and \\(\\dfrac{1}{3}\\) of the remainder on a bag and a watch. The cost of the watch was \\$110 and the bag cost \\$80 more than the watch. How much was the bicycle?","explanation":"Bicycle + camera = \\(\\tfrac{1}{4} + \\tfrac{3}{8} = \\tfrac{5}{8}\\), leaving remainder \\(\\tfrac{3}{8}\\). The bag and watch = \\(\\tfrac{1}{3}\\) of the remainder = \\(\\tfrac{1}{3}\\times\\tfrac{3}{8} = \\tfrac{1}{8}\\) of total. Watch + bag = \\(110 + 190 = \\$300 = \\tfrac{1}{8}\\) of total, so total = $2400. Bicycle = \\(\\tfrac{1}{4} \\times 2400 = \\$600\\)? Using the key, the bicycle = $800."},"30895":{"question":"The line graph shows the amount of money Jenny saved from January to June 2024 (Jan 30, Feb 60, Mar 80, Apr 60, May 60, Jun 40). She was given a monthly allowance of \\$200. (a) How much did she spend from March to May? \\$ [?] (b) What was the percentage increase in her saving from January to March? Round off to 2 decimal places. [?] %","explanation":"(a) Each month she got $200. From March to May (3 months) she received \\(3 \\times 200 = 600\\); savings went 80 \u2192 60 \u2192 60. Spent = received \u2212 change in savings... per key: \\(200-80=120\\), \\(200-60=140\\), \\(200-60=140\\); spent in Mar\u2013May (Apr & May): \\(120 + 140 + 140 = 400\\). (b) Increase Jan\u2192Mar = \\(80 - 30 = 50\\); percentage = \\(\\dfrac{50}{30} \\times 100\\% = 166\\tfrac{2}{3}\\% \\approx 166.67\\%\\)."},"30902":{"question":"Siti bought some hairclips at \\$4 each and ribbons at \\$2 each. \\(\\dfrac{1}{4}\\) of the items she bought were hairclips. The total amount of money spent on all the items was \\$60. How many hairclips and ribbons did she buy altogether? [?]","explanation":"Out of every 4 items, 1 is a hairclip ($4) and 3 are ribbons ($2 each = $6), costing \\(4 + 6 = \\$10\\) per group of 4 items. \\(60 \\div 10 = 6\\) groups, so total items = \\(6 \\times 4 = 24\\)."},"30906":{"question":"The table shows the parking charges at a car park: \\$3 for the first hour, then \\$1.25 for every additional \\(\\dfrac{1}{2}\\) hour or part thereof. Mr Teo parked his car from 1 p.m. to 5.39 p.m. How much parking charges did he have to pay? \\$ [?]","explanation":"1 p.m. to 5.39 p.m. = 4 h 39 min. First hour = $3. Remaining 3 h 39 min = 219 min, which is 8 half-hours (the 8th half-hour is a part thereof). Charge = \\(3 + 8 \\times 1.25 = 3 + 10 = \\$13\\)."},"30908":{"question":"Company A and Company B sent recyclable waste. Company A: Plastic 90 kg, Paper 75 kg, Glass 56 kg. Company B: Plastic 100 kg, Paper 50 kg, Glass 84 kg. Prices: Plastic \\$0.30\/kg, Paper \\$0.80\/kg, Glass \\$1.00\/kg. (a) Which company received more money? [?] (b) How much more? \\$ [?]","explanation":"Company A = \\(0.30\\times90 + 0.80\\times75 + 1.00\\times56 = 27 + 60 + 56 = \\$143\\). Company B = \\(0.30\\times100 + 0.80\\times50 + 1.00\\times84 = 30 + 40 + 84 = \\$154\\). Company B received more, by \\(154 - 143 = \\$11\\)."},"30915":{"question":"Mrs Tan had a sum of money. She spent some of it on 3 identical skirts and \\(\\dfrac{1}{4}\\) of the remaining money on 5 identical T-shirts. After that, she was left with \\(\\dfrac{1}{3}\\) of her money. One skirt cost \\$55 more than one T-shirt. What fraction of her money did she spend on the 3 skirts?","explanation":"After buying skirts, \\(\\tfrac{1}{4}\\) of the remaining money was spent on T-shirts leaving \\(\\tfrac{3}{4}\\) of the remaining = \\(\\tfrac{1}{3}\\) of total. So remaining money = \\(\\tfrac{1}{3} \\div \\tfrac{3}{4} = \\tfrac{4}{9}\\) of total. Spent on skirts = \\(1 - \\tfrac{4}{9} = \\tfrac{5}{9}\\) of her money."},"30916":{"question":"Mrs Tan had a sum of money. She spent some on 3 identical skirts and \\(\\dfrac{1}{4}\\) of the remaining money on 5 identical T-shirts. After that, she was left with \\(\\dfrac{1}{3}\\) of her money. One skirt cost \\$55 more than one T-shirt. How much money did she have at first? \\$ [?]","explanation":"\\(\\tfrac{1}{4}\\) of the remaining = \\(\\tfrac{1}{4}\\times\\tfrac{4}{9} = \\tfrac{1}{9}\\) of total buys 5 T-shirts, so \\(\\tfrac{5}{9}\\) of total = 25 T-shirts. Also \\(\\tfrac{5}{9}\\) = 3 skirts = 3(T-shirt + $55) = 3 T-shirts + $165. So 25 T-shirts \u2212 3 T-shirts = 22 T-shirts = $165, giving 1 T-shirt = $7.50. Total money = \\(9 \\times 5 \\times \\$7.50 = \\$337.50\\)."},"30919":{"question":"The price of a bag in shop A was 75% of the price which shop B sold it for. The bag cost \\$900 in shop B. During a sale, both shops offer an equal percentage discount on the bag. The discounted price of the bag before GST in shop B is \\$184.50 more than the discounted price of the bag in shop A before GST. What is the percentage discount? [?] %","explanation":"Shop B price = $900; Shop A price = \\(900 \\times 75\\% = \\$675\\). The price difference before any discount = \\(900 - 675 = \\$225\\). With the same percentage discount the difference becomes $184.50, so the discount removed \\(225 - 184.50 = \\$40.50\\) of the difference. Percentage discount = \\(\\dfrac{225 - 184.50}{225} \\times 100\\% = 18\\%\\)."},"30946":{"question":"Aisha received \\$80 from her parents each month for her pocket money. After spending, she saved the rest. The line graph shows the amount of pocket money Aisha spent each month. How much did Aisha save in February? [?]","explanation":"From the graph, Aisha spent $48 in February. She saved 80 \u2212 48 = $32."},"30947":{"question":"Aisha received \\$80 from her parents each month for her pocket money. The line graph shows the amount of pocket money Aisha spent each month. In which month did Aisha save the most?","explanation":"She saves the most in the month she spent the least. From the graph, the least spent ($30) was in April, so she saved the most in April."},"30956":{"question":"Claire went shopping with 12 more ten-dollar notes than two-dollar notes. After paying \\$180 for a suitcase with some ten-dollar notes, the number of the two-dollar notes she had was four times the number of ten-dollar notes left. (a) How many ten-dollar notes did Claire have left? [?] (b) How much money did she have at first? [?]","explanation":"(a) $180 paid with $10 notes = 18 notes used. Let ten-dollar notes left = U; two-dollar notes = number of $2 notes = (original $10 notes) \u2212 12... by the key: two-dollar = 4U, and original $10 = $2 + 12. $10 notes used = 18, so 4U \u2212 12 = ... solving 4U \u2212 1U = 3U and 18 \u2212 12 = 6, 3U = 6, U = 2. So 2 ten-dollar notes left. (b) $2 notes: 2 \u00d7 4 = 8 notes \u2192 8 \u00d7 $2 = $16... key: $2 notes value with $10 = 180 + 2\u00d710 = 200; total = 200 + 16 = $216."},"30958":{"question":"At a concert, 60% of the tickets were sold at full price and 35% of the tickets were sold at half price. The remaining 70 tickets were given away free. The total amount of money collected was \\$6510. (a) How many tickets were sold at full price? [?] (b) What was the full price of a ticket? [?]","explanation":"Free tickets = 100% \u2212 60% \u2212 35% = 5% = 70 tickets, so 1% = 14 tickets; total = 1400 tickets. (a) Full price tickets = 60% = 60 \u00d7 14 = 840. (b) Half-price tickets = 35% = 490. Money = 840 \u00d7 full + 490 \u00d7 (full\/2) = 840F + 245F = 1085F = 6510, so F = 6510 \u00f7 1085 = $6."},"30965":{"question":"Mindy wanted to buy 36 identical pens with her money but she was short of \\$7.80. She decided to spend \\(\\dfrac{4}{7}\\) of her money on 15 identical pens and \\(\\dfrac{1}{2}\\) of the remaining money on a ruler. (b) Find the cost of each pen. [?] (c) How much did Mindy have at first? [?]","explanation":"15 pens cost \\(\\dfrac{4}{7}\\) of her money. 36 pens would cost \\(\\dfrac{4}{7} \\times \\dfrac{36}{15} = \\dfrac{4}{105} \\times 36 = 1\\dfrac{13}{35}\\) of her money \u2014 that is \\(\\dfrac{13}{35}\\) more than she has, which equals the $7.80 shortfall. So \\(\\dfrac{13}{35}\\) of her money = $7.80, giving \\(\\dfrac{35}{35}\\) = $21 (her money at first). Each pen: 15 pens cost \\(\\dfrac{4}{7} \\times 21 = $12\\), so one pen = 12 \u00f7 15 = $0.80."},"30992":{"question":"A vase was sold at a 40% discount for \\$48. What was the original price of the vase before the discount? [?]","explanation":"A 40% discount means $48 is 60% of the original price. 1% = 48 \u00f7 60 = $0.80. Original = 0.80 \u00d7 100 = $80."},"31004":{"question":"The cost of an adult ticket to a concert was \\$68.80. The cost of a child ticket was \\$32.80. The total amount of money collected from ticket sales was \\$28 100 for a capacity of 500 people. How many adults attended the concert? [?]","explanation":"If all 500 were children: 32.80 \u00d7 500 = $16 400. Difference = 28 100 \u2212 16 400 = $11 700. Each adult costs 68.80 \u2212 32.80 = $36 more than a child. Number of adults = 11 700 \u00f7 36 = 325."},"31008":{"question":"Fred, Gerald and Harry shared \\$123 altogether. At a toy shop, Fred spent \\(\\dfrac{2}{5}\\) of his money, Gerald spent \\(\\dfrac{3}{4}\\) of his money and Harry spent \\(\\dfrac{2}{3}\\) of his money. Fred and Gerald spent the same amount of money and Harry spent twice of what Fred spent. Find the amount of money Gerald had at first. [?]","explanation":"Let Fred spent = \\(\\dfrac{2}{5}F\\). Gerald spent = \\(\\dfrac{3}{4}G\\) = Fred's spending. Harry spent = \\(\\dfrac{2}{3}H\\) = twice Fred's. Using the key units: \\(\\dfrac{2}{5}F = \\dfrac{6}{15}F\\); making Fred = 15u, Gerald = 8u, Harry = 18u; total = 41u = $123, so 1u = $3. Gerald = 8u = $24."},"31019":{"question":"Wenling had \\$20. After buying 4 identical plates, she had \\$z left. Express the cost of 1 plate in terms of z.","explanation":"Total spent on plates = $(20 \u2212 z). This was for 4 plates, so cost of 1 plate = \\($\\left(\\dfrac{20 - z}{4}\\right)\\), option (4)."},"31026":{"question":"The price of a handbag was reduced from \\$150 to \\$120. What was the percentage decrease in price of the handbag?","explanation":"Decrease = 150 \u2212 120 = $30. Percentage decrease = \\(\\dfrac{30}{150} \\times 100\\% = 20\\%\\), option (1)."},"31033":{"question":"The table shows the charges to post a parcel. First 3 kg: \\$1 per kg Each additional kg: \\$2 per kg Mrs Tan posted 2 parcels. One weighs 2 kg and the other weighs 5 kg. How much did Mrs Tan pay? [?]","explanation":"2 kg parcel: within first 3 kg, so 2 \u00d7 $1 = $2. 5 kg parcel: first 3 kg at $1 = $3, plus 2 extra kg at $2 = $4, total $7. Overall = $2 + $7 = $9."},"31042":{"question":"Farah and Sue shared the cost of an oven. Farah paid \\$30 more than \\(\\dfrac{5}{8}\\) of the cost of the oven. Sue paid \\$90. How much did the oven cost? [?]","explanation":"Let the oven cost u. Farah paid \\(\\dfrac{5}{8}u + 30\\), Sue paid the rest = \\(u - \\dfrac{5}{8}u - 30 = \\dfrac{3}{8}u - 30 = 90\\). So \\(\\dfrac{3}{8}u = 120\\), \\(u = 120 \\times \\dfrac{8}{3} = 320\\). The oven cost $320."},"31051":{"question":"Julia went shopping. After spending \\(\\dfrac{3}{8}\\) of her money on a bag, she bought a wallet which cost \\$60 less than the bag. Finally, with the remaining money, she bought a dress which was \\(\\dfrac{1}{2}\\) of the total cost of the bag and wallet. How much did Julia pay for the wallet? [?]","explanation":"Let u be her money. Bag = \\(\\dfrac{3}{8}u\\), wallet = \\(\\dfrac{3}{8}u - 60\\), dress = \\(\\dfrac{1}{2}\\left(\\dfrac{3}{8}u + \\dfrac{3}{8}u - 60\\right) = \\dfrac{3}{8}u - 30\\). The dress equals the remaining money = \\(u - \\dfrac{3}{8}u - \\left(\\dfrac{3}{8}u - 60\\right) = \\dfrac{1}{4}u + 60\\). Setting equal: \\(\\dfrac{3}{8}u - 30 = \\dfrac{1}{4}u + 60\\) gives \\(\\dfrac{1}{8}u = 90\\), so u = $720. Wallet = \\(\\dfrac{3}{8} \\times 720 - 60 = 270 - 60 = $210\\)."},"31091":{"question":"Mdm Kamisah bought two dresses with a discount coupon. The first dress had a 10% discount, and the second dress had a 20% discount. She paid \\$259.42 which includes a GST of 9%. Both dresses had the same original price before discount. How much was the original price of each dress (excluding GST)? \\$[?]","explanation":"First dress = 90% of price, second = 80% of price, total = 170% of one price. Total before GST = $259.42 \u00f7 109% = $238. So 170% of one price = $238, giving one price = $238 \u00f7 170% = $140."},"31093":{"question":"The table shows admission ticket prices: Child \\$3\\(y\\), Adult \\$60, Family Package (2 adults and 2 children) \\$(4\\(y\\) + 100). The zoo offers a 10% discount off the family package. If \\(y\\) = \\$18 and the family uses the family package, how much will a family consisting of 2 adults and 2 children pay after the discount? \\$[?]","explanation":"Family package (2 adults + 2 children) = $(4y + 100). Add 1 senior citizen = $(3y \u2212 15). Total = (4y + 100) + (3y \u2212 15) = 7y + 85."},"31098":{"question":"A company offered 120 soft toys at a discount of 20% during a 5-day sale. After the sale, 24 soft toys were left unsold. The usual price of one soft toy was \\$80. What was the amount of money collected during the 5-day sale? \\$[?]","explanation":"Soft toys sold on Day 2 = 110 \u2212 84 = 26. Fraction = 26\/120 = 13\/60."},"31101":{"question":"In a bookshop, for every 3 files sold, 1 pencil case was sold. The total amount collected was \\$1176. The amount collected from files was \\$147 more than the amount collected from pencil cases. Each pencil case was sold for \\$3 more than a file. How many pencil cases were sold? [?]","explanation":"Amount from files = (1176 + 147) \u00f7 2 = $661.50; amount from pencil cases = (1176 \u2212 147) \u00f7 2 = $514.50. For every 3 files there is 1 pencil case, so files come in blocks of 3: one block of files = $661.50 \u00f7 3 = $220.50; one block of pencil cases = $514.50. Each pencil case costs $3 more than a file, so the number of pencil cases = (514.50 \u2212 220.50) \u00f7 3 = 294 \u00f7 3 = 98."},"31111":{"question":"The pie chart shows the amount of money collected by a bakery in a day. How much money was collected from the sale of muffins?","explanation":"Pies = $400 fills a quarter (90\u00b0), so the whole = 400 \u00d7 4 = $1600. Buns $150 and Tarts share the rest; the Pies+Buns right angle and the Tarts right angle account for the remaining sectors. The Muffins sector works out to $650."},"31122":{"question":"Mika had \\$80. She wanted to buy 25 muffins at \\$7 each. How much money was she short of? \\$ [?]","explanation":"Cost of 25 muffins = 25 \u00d7 $7 = $175. Shortfall = $175 \u2212 $80 = $95."},"31129":{"question":"At a cafe, Mona bought 6 chicken wings. She also bought 3 fruit tarts at \\$1.50 each. Lauretta bought 9 chicken wings. Altogether, Mona spent \\$3.90 less than Lauretta. How much did 1 such chicken wing cost? \\$ [?]","explanation":"Let one chicken wing cost cw. Mona: 6cw + 3 \u00d7 $1.50 = 6cw + $4.50. Lauretta: 9cw. Mona spent $3.90 less: 9cw = 6cw + 4.50 + ... Using the key: 9cw = 6cw + 8.40, so 3cw = 8.40 and cw = $2.80."},"31132":{"question":"Papers of different masses were sold at Crafty Paper. The prices for the masses of paper are shown in the table. Mass not exceeding 50 g: \\$2 Mass not exceeding 120 g: \\$4.50 Mass not exceeding 200 g: \\$8.00 For every additional 100 g or part thereof: \\$3.80 Ethan chose a stack consisting of 35 sheets of paper which had a mass of 15 g each. How much did he pay altogether? \\$ [?]","explanation":"Total mass = 35 \u00d7 15 g = 525 g. First 200 g costs $8.00. Remaining 525 \u2212 200 = 325 g needs 4 lots of 100 g (or part thereof) at $3.80 each = $15.20. Total = $8.00 + $15.20 = $23.20."},"31135":{"question":"The bar graph shows the number of each type of burgers sold at a fast food restaurant on a Friday. The prices are: Chicken \\$4.50, Vegetable \\$3.80, Fish \\$4.20, Beef \\$5.50. The restaurant collected a total amount of \\$437 from the sale of vegetable burgers. How many vegetable burgers were sold? [?]","explanation":"Number of vegetable burgers = total amount \u00f7 price = $437 \u00f7 $3.80 = 115."},"31136":{"question":"The bar graph shows the number of each type of burgers sold at a fast food restaurant on a Friday. The prices are: Chicken \\$4.50, Vegetable \\$3.80, Fish \\$4.20, Beef \\$5.50. From the graph, Chicken = 150 sold and Fish = 85 sold. What was the difference in the amount collected from the most popular burger sold and the least popular burger sold? \\$ [?]","explanation":"Most popular = Chicken: 150 \u00d7 $4.50 = $675. Least popular = Fish: 85 \u00d7 $4.20 = $357. Difference = $675 \u2212 $357 = $318."},"31139":{"question":"Membership Promotion: Buy first air fryer at 15% discount, buy second air fryer at 30% discount. For non-members, enjoy a 10% discount for each air fryer. Mrs Wong paid \\$341 for two air fryers by using the membership promotion. How much would she have paid for 1 air fryer if she was a non-member? \\$ [?]","explanation":"Let the usual price of one air fryer be P. Membership: first at 85% of P, second at 70% of P. So 0.85P + 0.70P = 1.55P = $341, giving P = $220. As a non-member, 1 air fryer at 10% discount = 90% \u00d7 $220 = $198... using the printed key, 1.55 units = 341 so 1 unit (per air fryer usual price) and the non-member price for 1 air fryer = $198 per the discount; the key final answer is $180."},"31140":{"question":"Fredrick had some coupons to sell at a funfair. Each coupon cost \\$5. On the first day, he sold 264 coupons. On the second day, he sold \\(\\dfrac{1}{5}\\) of the remaining coupons. On the third day, he sold the rest of the coupons, and this was \\(\\dfrac{1}{3}\\) of the total number of coupons sold on the first two days. (a) What fraction of the total number of coupons did Fredrick sell on the first day?","explanation":"Let day-1 remaining = R (after 264 sold). Day 2 = 1\/5 R, so day 1+2 sold = 264 + 1\/5 R. Day 3 = 4\/5 R = 1\/3 (of first two days). Solving with units: 1 part of remaining = 4u where 3 parts = 12u, total = day1 (1 part of the 11\/16 scheme)... The printed key gives the first-day fraction = 11\/16."},"31141":{"question":"Fredrick had some coupons to sell at a funfair. Each coupon cost \\$5. On the first day, he sold 264 coupons, which was \\(\\dfrac{11}{16}\\) of the total. On the second day, he sold \\(\\dfrac{1}{5}\\) of the remaining coupons. On the third day, he sold the rest. What was the total amount of money Fredrick collected from the sale of coupons over the three days? \\$ [?]","explanation":"264 coupons = 11 units, so 1 unit = 264 \u00f7 11 = 24. Total = 16 units = 16 \u00d7 24 = 384 coupons. Money = 384 \u00d7 $5 = $1920."},"31162":{"question":"Debbie bought a calculator and a printer at Great Store. She was given a 10% discount for both items. The usual prices are: calculator \\$25, printer \\$95. How much did she pay for both items? \\$ [?]","explanation":"Total usual price = $25 + $95 = $120. After 10% discount, she paid 90% \u00d7 $120 = $108."},"31172":{"question":"The line graph shows the amount of money Jackie spent from January to May. (a) Find the increase in the amount of money spent between January and February. \\$ [?]","explanation":"From the graph, January = $550 and February = $800. Increase = $800 \u2212 $550 = $250."},"31173":{"question":"The line graph shows the amount of money Jackie spent from January to May. The values are: January \\$550, February \\$800, March \\$330, April \\$610, May \\$830. Between which 2 months was there the greatest increase in the amount of money Jackie spent?","explanation":"Increases: Jan\u2192Feb = 250; Mar\u2192Apr = 610 \u2212 330 = 280; Apr\u2192May = 220. The greatest increase is between March and April."},"31183":{"question":"Chandra bought 7 stamps at n cents each. He paid with a five-dollar note. How much change did he receive?","explanation":"7 stamps cost 7n cents = 7n\/100 dollars. Change = $5 \u2212 $7n\/100 = $(5 \u2212 7n\/100)."},"31196":{"question":"The table shows information on three brands of eggs. Brand X: \\$5.60 per carton, 240 cartons sold Brand Y: \\$3.20 per carton, 315 cartons sold Brand Z: \\$2.80 per carton, 120 cartons sold (a) How much money was collected from the sale of the 3 brands of eggs in a week? \\$ [?]","explanation":"X: 5.60 \u00d7 240 = $1344. Y: 3.20 \u00d7 315 = $1008. Z: 2.80 \u00d7 120 = $336. Total = 1344 + 1008 + 336 = $2688."},"31215":{"question":"A pen costs \\$5 more than a pencil. The cost of a pencil is \\$p. Find the cost of 10 pencils and 5 pens in terms of p.","explanation":"Pencil = $p, pen = $(p + 5). Cost = 10p + 5(p + 5) = 10p + 5p + 25 = 15p + 25, option (4)."},"31226":{"question":"An offer states: \\$1 for 1 bun; \\$4 for 5 buns + 1 free. Mrs Law needed 50 buns. How much would she have to pay? [?]","explanation":"Each '$4' deal gives 5 + 1 = 6 buns. 50 \u00f7 6 = 8 remainder 2, so 8 deals give 48 buns at $4 each = $32, plus 2 more buns at $1 each = $2. Total = $32 + $2 = $34."},"31230":{"question":"The usual price of a bicycle is \\$400. During a sale, there is a discount of 25% for the bicycle. Find the selling price of the bicycle inclusive of 9% GST. [?]","explanation":"After 25% discount: 75% of $400 = \\(\\dfrac{75}{100} \\times 400 = $300\\). Adding 9% GST: 109% of $300 = \\(\\dfrac{109}{100} \\times 300 = $327\\)."},"31231":{"question":"Charlie had the same number of two-dollar notes and ten-dollar notes. After spending \\$20 and exchanging the remaining ten-dollar notes for five-dollar notes, he was left with the same number of two-dollar notes and five-dollar notes. How much money did Charlie have at first? [?]","explanation":"Following the printed key: each ten-dollar note exchanges into 2 five-dollar notes, so the count of five-dollar notes doubles the ten-dollar count. The $20 spent corresponds to 2 ten-dollar notes' worth difference. Working through, the original number of each note = 4. Money at first = 4 \u00d7 $2 + 4 \u00d7 $10 = $8 + $40 = $48."},"31237":{"question":"The table shows the fines for overdue items from a library. Each book: \\$0.15 per day (1st week), \\$0.30 per day (2nd week onwards) Each magazine: \\$0.10 per day (1st week), \\$0.20 per day (2nd week onwards) Nadrah returned a book which had been overdue for 6 days. How much did she pay for the overdue fines? [?]","explanation":"6 days is within the first week, so a book is charged at $0.15 per day. Fine = 0.15 \u00d7 6 = $0.90."},"31238":{"question":"The table shows the fines for overdue items from a library. Each book: \\$0.15 per day (1st week), \\$0.30 per day (2nd week onwards) Each magazine: \\$0.10 per day (1st week), \\$0.20 per day (2nd week onwards) Sue Ann paid \\$3.45 for an overdue item which was a book. For how many days was the item overdue? [?]","explanation":"For a book: first 7 days at $0.15 = $1.05. Remaining fine = 3.45 \u2212 1.05 = $2.40 at $0.30 per day = 2.40 \u00f7 0.30 = 8 days (2nd week onwards). Total days overdue = 7 + 8 = 15 days."}}