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?

Total stays $348, so after giving each has 348 / 2 = $174. Paul gave away $33, so at first Paul had 174 + 33 = $207.


How many 4-digit numbers which are smaller than 5000 can be formed using the digits 9, 3, 7 and 0?

For a number below 5000 the thousands digit must be 3 (0 not allowed as leading digit; 9 and 7 are too big). The remaining 3 digits (9, 7, 0) can be arranged in 3 x 2 x 1 = 6 ways. So 6 numbers.


Round off 89 641 to the nearest hundred. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The tens digit is 4 (less than 5), so round down: 89 641 rounds to 89 600.


Subtract 536 from 822. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the product of 2106 and 8. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange the following numbers in order from the greatest to the smallest.
1.207, 1.027, 1.702
Greatest: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> Smallest

Compare digit by digit after the decimal point: 1.702 has 7 tenths (largest), then 1.207 has 2 tenths, then 1.027 has 0 tenths. Greatest to smallest: 1.702, 1.207, 1.027.


3/8 = 15/<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
What is the missing number in the box?

The numerator goes from 3 to 15, which is x5. Multiply the denominator by 5 too: 8 x 5 = 40. So 3/8 = 15/40.


What is the value of \(\dfrac{11}{12}\) + \(\dfrac{1}{4}\)? Express your answer as a mixed number.

Make a common denominator of 12: 1/4 = 3/12. Then 11/12 + 3/12 = 14/12 = 1 2/12. (The answer key leaves it as 1 2/12.)


Tom watched a movie. The movie lasted 1 h 55 min. The movie ended at 00 20. What time did it start? Give your answer in 24-hour clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Work backwards from 00 20 by 1 h 55 min. 00 20 minus 1 h = 23 20 (previous day); minus 55 min more = 22 25. The movie started at 2225.


Two factors of 39 are 1 and 39. What is the sum of all the factors of 39? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The factors of 39 are 1, 3, 13 and 39. Their sum = 1 + 3 + 13 + 39 = 56.


The third multiple of a 1-digit number is 35 less than its eighth multiple. What is the 1-digit number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

8th multiple minus 3rd multiple = 5 of the number. This equals 35, so the number = 35 / 5 = 7.


Ron's mass is 39.8 kg. He is 27.35 kg lighter than his father. What is their total mass?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg


The length of a metal rod is 167.8 cm when rounded to 1 decimal place. What is the least possible length of the rod? Give your answer to 2 decimal places.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

Lengths from 167.75 up to (but below) 167.85 round to 167.8 (1 d.p.). The least value that rounds up to 167.8 is 167.75 cm.


An egg seller had 36 boxes of eggs. Each box contained 30 eggs. 82 eggs were broken and thrown away. The remaining eggs were repacked into cartons of 8 eggs each.
(a) How many eggs were unbroken?
(b) How many eggs were not packed into the cartons? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Total eggs = 36 x 30 = 1080. Unbroken = 1080 - 82 = 998. (b) 998 / 8 = 124 remainder 6, so 124 full cartons and 6 eggs left over (not packed).


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A baker baked 3 types of cakes. 1/3 of the cakes were chocolate cakes, 2/9 of them were blueberry cakes and the remaining were butter cakes.
(a) What fraction of the cakes were butter cakes?
(b) A total of 108 cakes were baked. Each cake was sold at $15. How much money was collected when 1/4 of the cakes baked were sold? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Which of the following is a factor of both 28 and 60?


9 5/8 = /8
What is the missing number in the box?

Convert mixed number to improper fraction: 9 5/8 = (9×8 + 5)/8 = (72 + 5)/8 = 77/8. Missing number is 77.


Which of the following is a common multiple of 7 and 9?

A common multiple of 7 and 9 must be divisible by both. 63 = 7×9, so 63 is a multiple of both 7 and 9.


Gideon had an appointment with his doctor but was 45 minutes late. He arrived at the clinic at 12.05 p.m. What time was Gideon's appointment?

He was 45 min late, so the appointment was 45 min before 12.05 p.m. 12.05 p.m. − 45 min = 11.20 a.m.


Jane gave 5/8 of her stamps to Shirley. She had 285 stamps left. How many stamps did Jane have at first?


There are 2380 members in the Art Club. There were 168 more girls than boys in Art Club. How many girls are there in the Art Club?


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?

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 − $15 = $90; Michael = $315 + $15 = $330. Difference = $330 − $90 = $240.


Apples are sold 8 in a bag and oranges are sold 12 in a bag. Meili wants to buy the same number of apples and oranges for her party. What is the least total number of bags of apples and oranges if she needs to buy more than 40 fruits?

LCM of 8 and 12 = 24. To exceed 40 fruits of each kind, use the next common multiple: 48 of each. Apples: 48 ÷ 8 = 6 bags; oranges: 48 ÷ 12 = 4 bags. Total = 6 + 4 = 10 bags... key answer is option (1) = 5. With 24 of each (>40 total fruits combined is 48): apples 24÷8 = 3 bags, oranges 24÷12 = 2 bags, total 5 bags.


Round 54 620 to the nearest hundred.
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The tens digit is 2 (<5), so round down. 54 620 to the nearest hundred is 54 600.


Write the missing number in the number pattern.
13 000 , 12 300 , 11 600 , 10 900 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , 9500


Which two of these fractions are smaller than 1/2?
3/5 , 4/9 , 5/10 , 5/11 <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


What is the value of \(\dfrac{5}{8}\) + \(\dfrac{3}{4}\)? Express your answer as a mixed number.
Ans:


A big box contains twice as many chocolates as a small box. There is a total of 60 chocolates in three small boxes and one big box. How many chocolates does the big box contain?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Big box = 2 units, each small box = 1 unit. Three small + one big = 3 + 2 = 5 units = 60. 1 unit = 60 ÷ 5 = 12. Big box = 2 × 12 = 24.


A pen is 9.18 cm long and a ruler is 3.47 cm longer than the pen. A glue stick is 5.26 cm shorter than the ruler. What is the length of the glue stick?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm


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?
Ans: $ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let Susanna start with 1 unit, Hugh with 3 units. After Susanna gives $20: Hugh = 3u + 20, Susanna = 1u − 20. Difference = (3u+20) − (1u−20) = 2u + 40 = 110, so 2u = 70, u = 35. Susanna in the end = 35 − 20 = $15.


Tammy had 1 ℓ of lemonade. She drank \(\dfrac{3}{8}\) ℓ of it and gave her brother \(\dfrac{2}{5}\) ℓ. How much lemonade did Tammy have left?
Ans: ℓ


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?
Ans: $ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


In which of the following numbers does the digit 6 stand for 600?

Place value of digit 6: in 4659 the 6 is in the hundreds place, so it stands for 600. (6549: 6000; 5946: 6; 9465: 60.) Answer: 4659.


Thirty-four thousand and ninety-two in figures is .


Which of the following are common factors of 16 and 24?

Factors of 16: 1,2,4,8,16. Factors of 24: 1,2,3,4,6,8,12,24. Common factors: 1,2,4,8. Only '4 and 8' are both common factors. Answer: 4 and 8.


In which of the following numbers does the digit 4 stand for 4 tenths?

4 tenths = 0.4, the first digit after the decimal point. In 15.45 the digit 4 is in the tenths place = 0.4. Answer: 15.45.


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?


On Tuesday, a factory produced 6 times as many notebooks as on Monday. A total of 4242 notebooks were produced on both days. How many notebooks were produced on Monday?

Monday = 1 unit, Tuesday = 6 units, total = 7 units = 4242. 1 unit = 4242 / 7 = 606. Monday produced 606. Answer: 606.


Lucy can type 45 words in 1 minute. Lucy takes 10 seconds less than Paul to type the same number of words. How long does Paul take to type 45 words?

1 minute = 60 s (Lucy's time). Paul takes 10 s more than Lucy: 60 + 10 = 70 s. Answer: 70 s.


The total mass of a box containing 4 identical books and 2 identical calculators was 2.94 kg. The total mass of the box containing 4 such books and 1 such calculator was 2.76 kg. What was the total mass of the box containing 4 such books?

The extra calculator accounts for 2.94 - 2.76 = 0.18 kg (1 calculator). Box + 4 books = 2.76 - 0.18 = 2.58 kg. Answer: 2.58 kg.


The perimeter of a rectangular grass patch is 12 m. The breadth of the grass patch is 2 m. Find its length.

Perimeter = 2 x (length + breadth), so length + breadth = 12 / 2 = 6 m. Length = 6 - 2 = 4 m. Answer: 4 m.


Aminah has 198 coins. She has 3 times as many coins as Bob. Charlie has 76 more coins than Bob. Charlie then gave Bob some of his coins such that they both have the same number of coins. How many more coins does Aminah have than Bob now?

Bob = 198 / 3 = 66. Charlie = 66 + 76 = 142. Charlie shares equally with Bob: (66 + 142) / 2 = 104 each, so Bob now has 104. Aminah - Bob = 198 - 104 = 94. Answer: 94.


The table shows the number of customers at a restaurant over 4 days. Part of the table was covered by a stain. Day 1 had 30 customers and Day 2 had 45 customers. The number of customers on Day 3 is equal to the total number of customers on Day 1 and Day 2. The total number of customers on all 4 days is 230 when rounded to the nearest ten. What is the greatest possible number of customers on Day 4?

Day 3 = 30 + 45 = 75. Days 1-3 = 30 + 45 + 75 = 150. For the 4-day total to round to 230, the total is 225 to 234, so Day 4 is 75 to 84. Greatest is 84. Answer: 84.


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?

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.


Find the product of 3608 and 9. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


How many one-fifths are there in 1 whole? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

1 whole = 5/5, which is 5 one-fifths. Answer: 5.


Express \(\dfrac{3}{9}\) in its simplest form.

Divide numerator and denominator by 3: 3/9 = (3 / 3)/(9 / 3) = 1/3. Answer: 1/3.


Express 84/100 as a decimal. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange the following numbers in order from the greatest to the smallest. 0.045 , 0.504 , 0.405 <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Compare tenths first: 0.504 and 0.405 have 5 and 4 tenths, 0.045 has 0 tenths. So 0.504 > 0.405 > 0.045. Greatest to smallest: 0.504, 0.405, 0.045.


Round 18.55 to the nearest whole number. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The tenths digit is 5, so round up: 18.55 rounds to 19. Answer: 19.


Find the value of 6.72 x 7. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The area of a square tile is 49 cm². Find its length. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Area of a square = length x length = 49. 7 x 7 = 49, so the length is 7 cm. Answer: 7 cm.


Sam had a new book to read. He read \(\dfrac{3}{5}\) of the new book in the morning and \(\dfrac{3}{10}\) of it in the evening. What fraction of the book was left unread?


A farmer planted some trees in a straight row. The trees were planted at an equal distance apart from one another. The distance between the 2nd tree and the 5th tree was 2340 m. What was the distance between the 1st tree and the 10th tree? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

2nd to 5th tree = 3 gaps = 2340 m, so 1 gap = 780 m. 1st to 10th tree = 9 gaps = 9 x 780 = 3 x 2340 = 7020 m. Answer: 7020 m.


Container A had 13.5 l of tea. Container B had 4 times as much tea as container A. All the tea in container B was poured into identical bottles. Each bottle then has 3 l of tea. How many such bottles were filled with tea from container B? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Container B = 13.5 x 4 = 54 l. Bottles = 54 / 3 = 18. Answer: 18 bottles.


Benny had his dinner from 17 15 to 19 05. After his dinner, he shopped for 2 h 55 min. How much time did he spend on having his dinner and shopping altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Dinner from 17 15 to 19 05 = 1 h 50 min. Total = 1 h 50 min + 2 h 55 min = 3 h 105 min = 4 h 45 min. Answer: 4 h 45 min.


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? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

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.


May and Nina have 274 beads altogether. May and Oliver have 618 beads altogether. The number of beads Oliver has is nine times that of Nina. How many beads does May have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Oliver - Nina = (May+Oliver) - (May+Nina) = 618 - 274 = 344. Oliver = 9 x Nina, so Oliver - Nina = 8 units = 344, 1 unit (Nina) = 43. May = 274 - Nina = 274 - 43 = 231. Answer: 231 beads.


Rope A is 5/6 m shorter than Rope B. Rope C is 1/6 m longer than Rope A. Rope C is 2/3 m long. (a) What is the length of Rope A? (b) What is the length of Rope B? Give your answer in the simplest form. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

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.


Which of the following is not a factor of 56?

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56. 56 is not divisible by 6 (56 / 6 = 9 r 2), so 6 is not a factor.


5 2/3 = /3. What is the missing number in the box?

5 2/3 = (5 x 3 + 2)/3 = 17/3, so the missing numerator is 17.


In the number 97.85, the digit is in the tenths place.

In 97.85, the first digit after the decimal point is the tenths place. That digit is 8.


Arrange the following decimals from the smallest to the greatest. 5.8 , 0.58 , 5.08 , 0.85

Compare whole-number parts first: 0.58 and 0.85 are less than 1; 5.08 and 5.8 are over 5. Within each: 0.58 < 0.85 and 5.08 < 5.8. Order: 0.58, 0.85, 5.08, 5.8.


A glass can hold 0.4 l of water. 9 such glasses are needed to fill 2 jugs to the brim. What is the capacity of 1 jug?

9 glasses = 9 x 0.4 l = 3.6 l fills 2 jugs. So 1 jug = 3.6 / 2 = 1.8 l.


The chairs in a theatre were arranged equally in rows. There were 11 rows of chairs. Mark sat at the fourth row. 7 people were seated on his right and 9 people were seated on his left. How many chairs were there in the theatre?

Chairs in one row = 7 (right) + 9 (left) + 1 (Mark) = 17. Total = 17 x 11 rows = 187.


Arrange the following numbers from the greatest to the smallest. 138 , 813 , 831 , 183 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Compare hundreds digit: 831 and 813 start with 8, 183 and 138 start with 1. Within 8xx: 831 > 813. Within 1xx: 183 > 138. Greatest to smallest: 831, 813, 183, 138.


What is the value of \(\dfrac{5}{6}\) + \(\dfrac{1}{3}\)? Express your answer as a mixed number.


Which two of the fractions below are smaller than 1/2? 2/11 , 3/10 , 4/8 , 5/7 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Half of each denominator: 2/11 (half is 5.5, 2<5.5 so smaller), 3/10 (half is 5, 3<5 smaller), 4/8 = 1/2 (equal, not smaller), 5/7 (half is 3.5, 5>3.5 larger). The two smaller than 1/2 are 2/11 and 3/10.


Mrs Li is 37 years old. Her husband is 3 years older than her. Their son is 29 years younger than Mrs Li. What is their total age? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Raju took 9 h 20 min to drive from Singapore to Kedah. He reached Kedah at 06 10. What time did Raju start driving from Singapore? Express your answer in 24-hour clock. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Work backwards from 06 10 by 9 h 20 min: 06 10 minus 9 h = 21 10 (previous day); minus 20 min = 20 50.


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? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Remove the extra: 250 - 71.50 = 178.50 equals 3 equal skirts. 178.50 / 3 = $59.50 per skirt.


The lunch set meal at a restaurant allows customers to choose a set that consists of a main course, a soup and a drink. The main courses are pasta and chicken sandwich. The soups are mushroom soup and corn soup. The drinks are coffee, tea and orange juice. How many different combinations of lunch set meals are available for the customers to choose? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Multiply the choices: 2 main courses x 2 soups x 3 drinks = 12 combinations.


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? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The journey from Rahman's house to Changi Airport by bus would take 1 h 50 min. The same journey by MRT would take 35 minutes shorter than by bus. What is the duration of the journey from Rahman's house to the Changi Airport by MRT? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> Rahman left his house and took the MRT at 22 50. He reached Changi Airport 2 h 55 min before his flight. What time is his flight? Express your answer using the 24-hour clock. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


The total mass of an empty box and 5 similar metal balls was 2.6 kg. The total mass of the same empty box and 3 similar metal balls was 2.34 kg. What was the mass of 1 metal ball? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> What was the mass of the empty box? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Mrs Lim baked 300 fruit tarts. 1/2 of them were pineapple tarts, 2/5 of them were strawberry tarts and the remaining were mango tarts. How many mango tarts did she bake? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> 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? $<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Siti had 604 more stamps than Tom. After Siti had given 902 stamps to Tom, he had 4 times as many stamps as her. How many stamps did Tom have at first? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let Tom first = t, so Siti first = t + 604. After Siti gives 902: Tom = t + 902, Siti = t + 604 - 902 = t - 298. Tom is 4 times Siti: t + 902 = 4(t - 298). t + 902 = 4t - 1192, so 3t = 2094, t = 698. Tom had 698 stamps at first.


In 72 415, the digit 2 is in the thousands place. Its value is 2 x 1000 = 2000.


45 thousands and 6 tens is the same as .


Which of the following is a factor of both 18 and 42?

Factors of 18: 1,2,3,6,9,18. Factors of 42: 1,2,3,6,7,14,21,42. The common factor among the options is 6.


Which of the following is not an equivalent fraction of 1/6?

1/6 = 2/12 = 4/24 = 6/36. But 3/15 = 1/5, which is not equal to 1/6. So 3/15 is not equivalent.


In 14.57 the digit immediately after the decimal point is the tenths place. So 5 stands for 5 tenths.


10 - 3.04 = . What is the missing number in the box?


The area of a square is 64 cm2. Find the perimeter of the square.

Side x side = 64, so side = 8 cm (8 x 8 = 64). Perimeter = 4 x 8 = 32 cm.


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?

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.


Write twelve thousand and ninety-nine in figures. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Fill in the blank with the correct number in the number pattern. 450 , 425 , 400 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , 350

The pattern decreases by 25 each time: 450, 425, 400, 375, 350. The missing number is 375.


How many one-fifths are there in 1 whole? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

1 whole = 5/5, which is 5 one-fifths. So there are 5.


Arrange the following numbers from the smallest to the greatest. 3/5 , 0.606 , 0.066 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />


Express 7/100 as a decimal. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

7/100 means 7 hundredths. As a decimal, hundredths is the second place after the point: 0.07.


Round 18.64 to the nearest whole number. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The tenths digit is 6, which is 5 or more, so round up. 18.64 rounds to 19.


Some factors of 81 are 1, 9 and 81. What are the other 2 factors of 81? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Factors of 81: 1, 3, 9, 27, 81. Apart from 1, 9 and 81, the other two factors are 3 and 27.


Pencils are sold in packets of 6 and erasers are sold in packets of 9. Paul wanted to buy the same number of pencils and erasers. What is the least number of packets of erasers Paul needs to buy? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The least common multiple of 6 and 9 is 18. To get 18 erasers in packets of 9, Paul needs 18 / 9 = 2 packets of erasers.


A string was 10 m long. Sam used 3.16 m of it. He then cut the remaining string equally into 6 pieces. What was the length of each piece of string? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Remaining string = 10 - 3.16 = 6.84 m. Cut into 6 equal pieces: 6.84 / 6 = 1.14 m each.


The total mass of a basket containing 7 identical balls was 9.48 kg. When 3 balls were taken out of the basket, the total mass of the basket and the remaining balls became 5.67 kg. What was the mass of 1 ball? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Removing 3 balls reduced the mass from 9.48 kg to 5.67 kg, so 3 balls = 9.48 - 5.67 = 3.81 kg. 1 ball = 3.81 / 3 = 1.27 kg.


The sum of two decimals is 36.56. The greater number is three times as much as the smaller number. Find the greater number. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let the smaller be 1 unit, the greater 3 units. Total = 4 units = 36.56, so 1 unit = 36.56 / 4 = 9.14. Greater number = 3 x 9.14 = 27.42.


Serene visits the library every 3 days. Devi visits the library every 4 days. They first met at the library on 10 March. What is the next date both girls will meet again at the library? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

They meet again after the least common multiple of 3 and 4 days = 12 days. 10 March + 12 days = 22 March.


The mass of a papaya is \(\dfrac{1}{2}\) kg. A watermelon weighs \(\dfrac{1}{6}\) kg more than the papaya. Find the total mass of the papaya and the watermelon. Express your answer as a mixed number in the simplest form.


Three boys sold a total of 745 tickets during a carnival. Abel sold twice as many tickets as Nell. Hamid sold 135 fewer tickets than Abel. (a) How many tickets did Nell sell? (b) How many tickets did Abel sell? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


A jug was completely filled with water at first. Siti drank 3/5 of the water and spilled 1/10 of it. Then she had 480 ml left. (a) What fraction of the water was left in the jug? (b) How much water was in the jug at first? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Which of the following numbers when rounded to the nearest ten becomes 74 500?


Which of the following fractions is in its simplest form?

5/8 has no common factor other than 1, so it is in simplest form. 2/6 = 1/3, 3/9 = 1/3, 6/10 = 3/5 can all be simplified.


14 = 7x2, 35 = 7x5, 49 = 7x7 are all divisible by 7. 72 is not divisible by 7 (72 / 7 leaves a remainder), so 7 is not a factor of 72.


Mr Faiz had some stickers. He gave away 2/3 of his stickers to 5 students and had 30 stickers left. How many stickers did each of his students receive?

The 30 left is 1/3 of the total, so total = 90. He gave away 2/3 x 90 = 60 stickers to 5 students. Each student got 60 / 5 = 12.


Shamita is 1.5 m tall. She is taller than Ali by 0.03 m. How tall is Ali?

Ali is shorter than Shamita, so Ali = 1.50 - 0.03 = 1.47 m.


A repeated pattern is formed using the letters A, B, C and D. The first 12 letters are A B C D A B C D A B C D. How many 'A's are there if there is a total of 42 letters in the pattern?

The pattern repeats every 4 letters (ABCD), with A in position 1 of each block. 42 / 4 = 10 remainder 2, giving 10 full blocks (10 A's) plus 'A B', adding one more A. Total = 11 A's.


Find the product of 3028 and 4. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Write 8 thousandths as a decimal. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange the following numbers from the smallest to the greatest. 4/5 , 0.804 , 0.084 <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />


Mrs Lee has some buttons. The number of buttons she has is more than 10 but fewer than 25. She can pack all the buttons into bags of 2 or 3 with no remainder. What is one possible number of buttons she has? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The number must be a common multiple of 2 and 3 (a multiple of 6) between 10 and 25: 12, 18 or 24. One possible answer is 12.


Rani needed 30 minutes to bake a cake. At 12.45 p.m., she had baked 3 such cakes. At what time did she start baking the first cake given that she baked one cake after another, without any break in between? Express your answer using the 12-hr clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

3 cakes x 30 min = 90 min = 1 h 30 min of baking. Counting back from 12.45 p.m. by 1 h 30 min gives 11.15 a.m.


Alice, Bala and Carin shared 850 cards. Bala had 30 more cards than Alice. Carin had 40 more cards than Bala. (a) Who had the most number of cards? (b) How many cards did Bala have? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Carin has the most (Bala = Alice + 30, Carin = Bala + 40). (b) Take Bala as a unit. Alice = Bala - 30, Carin = Bala + 40. Total: (Bala-30) + Bala + (Bala+40) = 850, so 3 Bala + 10 = 850, 3 Bala = 840, Bala = 280.


Mr Kumar mixed 15 l of blue paint and 15.42 l of red paint to obtain purple paint. He then poured all the purple paint into a big container and a small container. The amount of paint poured into the big container was 5 times as much as that in the small container. (a) How much purple paint did Mr Kumar have? (b) How much purple paint did Mr Kumar pour into the small container? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Total purple = 15 + 15.42 = 30.42 l. (b) Big is 5 times the small, so together they are 6 equal parts: 30.42 / 6 = 5.07 l in the small container.


At first, all the donuts in a bakery were placed on 20 trays with an equal number of donuts on each tray. 5 trays were removed and the donuts on these trays were distributed equally on the remaining 15 trays. In the end, the number of donuts on each remaining tray increased by 2. (a) Find the total number of donuts on the 5 trays which were removed. (b) Find the number of donuts on each tray at first. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) The 15 remaining trays each gained 2 donuts, so the 5 removed trays held 15 x 2 = 30 donuts in total. (b) Those 30 donuts came from 5 equal trays, so each tray had 30 / 5 = 6 donuts at first.


Nurul had 280 red and blue marbles altogether. After Nurul gave away 1/3 of her red marbles, the number of red marbles left was equal to the number of blue marbles she had. (a) What fraction of her red marbles had Nurul left? (b) Find the difference in the number of red and blue marbles Nurul had at first. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) She gave away 1/3, so 1 - 1/3 = 2/3 of red marbles were left. (b) Red left (2/3 of red) = blue. So red : blue = 3 : 2, total 5 units = 280, 1 unit = 56. Difference = 3 units - 2 units = 1 unit = 56.


Which one of the following is a factor of both 12 and 56?

Factors of 12: 1,2,3,4,6,12. Factors of 56: 1,2,4,7,8,14,28,56. The common factor among the options is 4.


7/25 = 28/100 = 0.28 (multiply numerator and denominator by 4). So 8 7/25 = 8.28.


Which one of the following is not an equivalent fraction of 1/4 ?

2/8, 3/12 and 4/16 all simplify to 1/4. 6/20 simplifies to 3/10, which is not 1/4. So 6/20 is the odd one out.


What time is 25 minutes before midnight?


Some factors of 63 are 1, 3, 7 and 63. What are the other two factors of 63? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

63 = 9 × 7 and 63 = 21 × 3. The full list of factors is 1, 3, 7, 9, 21, 63. The two missing factors are 21 and 9.


Find the product of 2369 and 4. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the value of 3.29 × 6. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


How many one-eighths are there in 1 whole? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

1 whole = 8/8, which is eight one-eighths. So there are 8.


Which two of the fractions 2/5 , 3/6 , 4/7 , 5/11 are smaller than 1/2 ? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


What is the value of \(\dfrac{9}{10}\) + \(\dfrac{4}{5}\) ? Express your answer as a mixed number.


Damien is facing East. He makes a 3/4 -turn in the clockwise direction. Which direction is Damien facing after making the turn?

Starting at East, a 3/4-turn clockwise = 270°. East → South (1/4) → West (1/2) → North (3/4). He faces North.


Use all the digits 8, 3, 0, 7, 4 to form the smallest 5-digit odd number. Each digit can only be used once. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Odd means the last digit is odd (3 or 7). For the smallest number, the leading digit cannot be 0. Put the smallest non-zero digit first (3), then arrange remaining for smallest value while keeping an odd last digit: 3 0 4 8 7 = 30487.


Divide 8094 by 7. The quotient is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> with a remainder of <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.


Express 3.08 as a mixed number in its simplest form.


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: $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


How many of the letters P, V, H, S, M are symmetric? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Letters with a line of symmetry: V (vertical), H (vertical and horizontal), M (vertical). P and S have no line of symmetry. So 3 letters are symmetric.


Glen left his house at 07 45. He took 35 minutes to reach the library. He had to wait 10 minutes for the library to open. What time did the library open? Express your answer using the 24-hour clock. Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

07 45 + 35 min = 08 20 (arrives). 08 20 + 10 min wait = 08 30. The library opened at 0830.


There are 700 sweets in a container when rounded to the nearest hundred. What is the greatest possible number of sweets in the container? Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Numbers that round to 700 to the nearest hundred range from 650 to 749. The greatest is 749.


Using the 3 digits 6, 7, 5, Peter formed a number with 2 decimal places. The number became 6 when he rounded it to the nearest whole number. What could be a possible number that he had formed? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

A 2-decimal-place number using digits 6,7,5 that rounds to 6 must be from 5.50 to 6.49. 5.76 rounds to 6. (Key gives 5.76; 5.67 also works.)


A table is 5 times as heavy as a chair. Three chairs and one table weigh 73.36 kg. What is the mass of one chair? Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg

Table = 5 chairs. 3 chairs + 1 table = 3 chairs + 5 chairs = 8 chairs = 73.36 kg. One chair = 73.36 ÷ 8 = 9.17 kg.


Sonia ate \(\dfrac{2}{7}\) of a cake. Lucas ate \(\dfrac{2}{5}\) of the same cake. What fraction of the cake did Lucas eat more than Sonia?


Sam took 2 h 20 min to complete his homework. He completed it at 8.25 p.m. At what time did Sam start doing his homework? Express your answer using the 24-hour clock. Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


In a student care centre, the windows are wiped every 3 days and the fans are wiped every 9 days. Both the windows and the fans were wiped on the last day of June. On how many occasions were the windows and fans wiped together on the same day in July? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Both are wiped together every common multiple of 3 and 9, i.e. every 9 days (LCM of 3 and 9 = 9). Starting from 30 June, the next together-days are 9 Jul, 18 Jul, 27 Jul — 3 occasions in July.


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: $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

There are 2 adults and 4 children = 6 tickets. If all 6 were adult price, replace the 4 child tickets: 4 × $170 = $680 less. So 6 adult tickets = $1600 + $680 = $2280. One adult = $2280 ÷ 6 = $380. Child = $380 - $170 = $210.


David's water bottle was 7/12 filled with water. After he had drunk 270 ml of water from the bottle, it became 1/3 full. What was the capacity of David's water bottle? Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml


(a) Write eighty-five thousand and twenty-one in numerals.
(b) In 21 435, which digit is in the hundreds place?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Eighty-five thousand = 85 000, and twenty-one = 21, so the numeral is 85 021. (b) In 21 435, the place values are 2 (ten thousands), 1 (thousands), 4 (hundreds), 3 (tens), 5 (ones). The digit in the hundreds place is 4.


(a) Round 24 568 to the nearest ten.
(b) Round 89 542 to the nearest thousand.
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) The ones digit of 24 568 is 8 (5 or more), so round up: 24 570. (b) The hundreds digit of 89 542 is 5 (5 or more), so round the thousands up: 89 000.


(a) 1 and 15 are factors of 15. List the other two factors of 15.
(b) What is the first common multiple of 6 and 9?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

(a) Factors of 15 are the numbers that divide 15 exactly: 1, 3, 5, 15. Besides 1 and 15, the other two are 3 and 5. (b) Multiples of 6: 6, 12, 18, ...; multiples of 9: 9, 18, ... The first common multiple is 18.


(a) 30 745 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + 700 + 40 + 5. What is the missing number in the box?<br>(b) What is the value of the digit 7 in 9276?

(a) 30 745 = 30 000 + 700 + 40 + 5, so the missing number is 30 000. (b) In 9276 the digit 7 is in the tens place, so its value is 7 tens = 70.


Arrange the following from the smallest to the greatest.
\(\dfrac{3}{7}\) , \(\dfrac{2}{9}\) , \(\dfrac{3}{9}\)
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Compare the fractions. 2/9 and 3/9 share denominator 9, so 2/9 < 3/9. Then 3/9 = 1/3 ≈ 0.33 and 3/7 ≈ 0.43, so 3/9 < 3/7. From smallest to greatest: 2/9, 3/9, 3/7.


(a) Express \(\dfrac{21}{8}\) as a mixed number.
(b) Express \(4\dfrac{5}{7}\) as an improper fraction.
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Express your answer as a mixed number in its simplest form.<br>\(\dfrac{5}{6}\) + \(\dfrac{2}{3}\) =


A number is 21 300 when rounded to the nearest hundred. What could be the largest possible value for this number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

To round to 21 300 at the nearest hundred, the number must be from 21 250 up to 21 349 (21 350 would round up to 21 400). The largest such whole number is 21 349.


Identify two fractions between \(\dfrac{2}{3}\) and \(\dfrac{3}{4}\). List them in their simplest forms. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Use a common denominator. 2/3 = 24/36 and 3/4 = 27/36, so 25/36 and 26/36 lie between them. 25/36 is already in simplest form; 26/36 = 13/18. The two fractions are 25/36 and 13/18.


Leslie thought of a number. It has 8 factors. He listed some of the factors in increasing order.
1, 2, 3, 6, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 14, 21, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />
What are the missing factors?

The listed factors 1, 2, 3, 6, 14, 21 suggest the number is 42. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42 (8 factors). The missing ones, in order, are 7 (between 6 and 14) and 42 (after 21).


A bakery buys 1250 kg of flour every 2 months. It buys the same amount of flour each month.
(a) How much flour does the bakery buy each month?
(b) How much flour does the bakery buy in a year?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) 1250 kg over 2 months = 1250 ÷ 2 = 625 kg each month. (b) A year has 12 months, so 625 × 12 = 7500 kg.


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

After Jack donates $170, the remaining total is 1730 − 170 = $1560. Now Bill = 3 × Jack, so they form 4 equal units: 1 unit = 1560 ÷ 4 = $390 (Jack). Bill = 3 units = 3 × 390 = $1170.


Ms Tan bought 15 packets of stickers. Each packet contained 25 stickers. She kept 100 stickers for herself and gave the rest to 5 friends. Each friend received an equal number of stickers. How many stickers did each friend get? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total stickers = 15 × 25 = 375. After keeping 100: 375 − 100 = 275. Shared among 5 friends: 275 ÷ 5 = 55 stickers each.


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The difference between them stays the same: 108 − 52 = $56. After buying, George = 5 × Trevor, so the difference is 4 units = $56, giving 1 unit = 56 ÷ 4 = $14 (Trevor's money left). Calculator cost = 52 − 14 = $38.


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Assume all 50 were children: 50 × $5 = $250. The extra $304 − $250 = $54 comes from adults paying $3 more each ($8 − $5). Number of adults = 54 ÷ 3 = 18, so children = 50 − 18 = 32. More children than adults = 32 − 18 = 14.


Which of the following is sixteen thousand, four hundred and nine in numerals?

Sixteen thousand = 16 000, four hundred = 400, and nine = 9. Adding them gives 16 000 + 400 + 9 = 16 409.


Which of the following numbers is the smallest?

All numbers share 18 thousands. Compare the hundreds: 18 769 and 18 796 have 7 hundreds, smaller than 9. Then compare tens: 6 tens (18 769) is smaller than 9 tens (18 796). So 18 769 is the smallest.


In the number pattern, what is the missing number?<br>50 880, 50 910, 50 940, 50 970, ________, 51 030


Which of the following numbers is 38 500 when rounded to the nearest hundred?

Rounding to the nearest hundred, the result 38 500 comes from values 38 450 to 38 549. Among the options, 38 549 rounds to 38 500. (38 409 and 38 449 round to 38 400; 38 550 rounds up to 38 600.)


Which of the following is a factor of both 16 and 24?

Factors of 16: 1, 2, 4, 8, 16. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. A common factor is 8 (it divides both). 6 divides 24 but not 16; 40 and 48 are larger than 16 so cannot be its factors.


Which of the following is a common multiple of 8 and 12?

Multiples of 8: 8, 16, 24, ... Multiples of 12: 12, 24, 36, ... The number 24 appears in both lists, so it is a common multiple. (20 is a multiple of neither; 16 is a multiple of 8 only; 4 is a factor, not a multiple.)


In a school, there were 832 boys and 164 girls. How many more boys than girls were there? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Find the difference: 832 - 164 = 668. There are 668 more boys than girls.


There are 428 sweets in a bottle. Mrs Tan bought 14 bottles to give her pupils. How many sweets did she buy altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Multiply sweets per bottle by number of bottles: 428 x 14 = 5992 sweets altogether.


There are 1048 blue markers in a shop. The number of blue markers is 4 times as many as the number of red markers. How many red markers are there? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Blue markers are 4 times the red markers, so red markers = 1048 ÷ 4 = 262.


Jack jogs 1650 m and Tom jogs 2480 m in a day.
How many metres do Jack and Tom jog altogether in 7 days?
Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total jogged in one day = 1650 + 2480 = 4130 m. Over 7 days = 4130 x 7 = 28 910 m.


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?
Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

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 ÷ 6 = $670.


Arrange the following decimals in increasing order.<br>6.501, 6.015, 6.105, 6.051


Express \(8\dfrac{6}{50}\) as a decimal.


The digits after the decimal point (08) are hundredths. So 1.08 = \(1\dfrac{8}{100}\).


David paid $5.25 for a pencil case and $1.85 for a pen. How much did David pay altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mrs Tan bought some fruits. She gave the cashier $50 and received $12.35 change. How much did she spend on the fruits? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Amount spent = amount given - change = $50.00 - $12.35 = $37.65.


Mr Ahmad used 1.45 kg of butter to bake one butter cake. Find the mass of butter used to bake seven butter cakes. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Multiply the mass for one cake by 7: 1.45 kg × 7 = 10.15 kg.


A piece of wood 1.96 m was sawn to make 4 legs for a table. What was the length of each leg? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Divide the total length by 4: 1.96 m ÷ 4 = 0.49 m.


Mrs Diana has 4 small bottles and 1 large bottle of mineral water. A large bottle holds 3 times as much water as the small bottle. She has 3.85 \(l\) of mineral water altogether. How many litres of mineral water can a large bottle hold? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let a small bottle be 1 unit; the large bottle is 3 units. Total = 4 small + 1 large = 4 + 3 = 7 units = 3.85 l. So 1 unit = 3.85 ÷ 7 = 0.55 l. A large bottle = 0.55 × 3 = 1.65 l.


Read the place values of 34 765 from the right: 5 ones, 6 tens, 7 hundreds, 4 thousands, 3 ten thousands. The digit 7 sits in the hundreds place.


Estimate the value of 4513 − 971 by first rounding each number to the nearest thousand.

Round to the nearest thousand: 4513 → 5000 and 971 → 1000. Then 5000 − 1000 = 4000.


Which of the following is a common factor of 12 and 32?

Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 32: 1, 2, 4, 8, 16, 32. The common factor among the options is 4.


Find the quotient when 8412 is divided by 9. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

8412 ÷ 9 = 934 remainder 6. The quotient is the whole-number result, 934.


Find the missing number in the box.<br>123 × 40 = 123 × <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> × 10

40 = 4 × 10, so 123 × 40 = 123 × 4 × 10. The missing number is 4.


A given number is a multiple of 8 and a factor of 48.
It is between 20 and 40.
What is the number?
Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Multiples of 8: 8, 16, 24, 32, 40. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The number in both lists that is between 20 and 40 is 24.


Round the following numbers to the nearest hundred.
(a) 9 950
(b) 23 439
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) 9 950: the tens digit is 5, so round up the hundreds → 10 000. (b) 23 439: the tens digit is 3 (less than 5), so round down → 23 400.


Find the product of 236 and 47. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Write the following in numerals.
(a) Ninety-six thousand and eighteen
(b) Thirty-one thousand, two hundred and seventy
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Ninety-six thousand = 96 000, and eighteen = 18, giving 96 018. (b) Thirty-one thousand = 31 000, two hundred = 200, and seventy = 70, giving 31 270.


A number when divided by 6 gives a quotient of 345 and a remainder of 2. What is the number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Number = quotient × divisor + remainder = 345 × 6 + 2 = 2070 + 2 = 2072.


There are 20 girls standing in a row. Every 2nd girl is wearing a hair pin. Every 3rd girl is wearing a hat. How many girls wear both a hair pin and a hat? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

A girl wears both if her position is a multiple of both 2 and 3, i.e. a multiple of 6. Within 20: 6, 12, 18 — that is 3 girls.


There are 354 people at a party. Each table can only have 5 seats. What is the smallest number of tables needed at the party? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

354 ÷ 5 = 70 remainder 4. The 70 tables seat 350 people; the remaining 4 need one more table. So 70 + 1 = 71 tables.


Susan has 4364 stickers. May has 2468 stickers. How many stickers must Susan give May so that they have the same number of stickers in the end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The difference is 4364 − 2468 = 1896. To make them equal, Susan gives May half the difference: 1896 ÷ 2 = 948.


Look at the pattern.
S A F E T Y S A F E T Y S A F E T Y ...
What letter is in the 44th position?

The block SAFETY repeats every 6 letters. 44 ÷ 6 = 7 remainder 2, so the 44th letter is the 2nd letter of the block, which is A.


A number has 10 as a factor. The number is a multiple of 5. This statement is

If 10 is a factor of the number, the number is a multiple of 10, and every multiple of 10 is also a multiple of 5. So the statement is True.


A number has 10 as a factor. The number is an odd number. This statement is

A number with 10 as a factor is a multiple of 10 and ends in 0, so it is always even. It can never be odd, so the statement is False.


A number has 10 as a factor. The number is a multiple of 12. This statement is

Knowing 10 is a factor only tells us the number is a multiple of 10 (e.g. 10, 20, 30...). Some are multiples of 12 (like 60) and some are not (like 10), so we cannot tell.


A number has 10 as a factor. The number has 4 as a factor. This statement is

A multiple of 10 may or may not have 4 as a factor: 20 does (4 × 5), but 10 and 30 do not. So we cannot tell from the information given.


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Banana muffins earned 63 × $4 = $252. So chocolate muffins earned $486 − $252 = $234. At $3 each, the number sold is $234 ÷ $3 = 78.


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?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Karl + Andy = $800 and Andy = Karl + $128. So 2 units of Karl = $800 − $128 = $672, giving Karl = $672 ÷ 2 = $336. (b) Sam had 6 × $336 = $2016. Each of 8 lego sets cost $2016 ÷ 8 = $252.


At a funfair, the number of children was 2 times the number of women. The number of women was 2 times the number of boys. There were 486 girls.
(a) How many children were there?
(b) Each girl bought 20 game tokens. How many game tokens did all the girls buy?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Children are split into boys and girls. Children = 2 × women and women = 2 × boys, so children = 4 × boys; girls = children − boys = 3 units = 486, so 1 unit (boys) = 486 ÷ 3 = 162. Children = boys + girls = 162 + 486 = 648. (b) Total girls' tokens = 486 × 20 = 9720.


John completed his homework at 18 25. He took 2 h 47 min to complete his work. What time did he start?

Work backwards from the finishing time. 18 25 minus 2 h gives 16 25. Then subtract 47 min: 16 25 - 47 min = 15 38. So John started at 15 38.


A football match started at 15 15 and it ended at 16 40. How long was the football match?

Find the duration from 15 15 to 16 40. From 15 15 to 16 15 is 1 h, then 16 15 to 16 40 is 25 min. Total = 1 h 25 min.


Edward washed 8 cars on Saturday. He took 20 minutes to wash each car. He started at 07 00. At what time will he finish if he did not take any breaks?

Total washing time = 8 \(\times\) 20 min = 160 min = 2 h 40 min. Add to the start time: 07 00 + 2 h 40 min = 09 40.


Jacob took 2 min 38 s to jog round a park. His sister took 40 s faster than him to complete the same distance. How long did his sister take?

Subtract 40 s from Jacob's time. 2 min 38 s = 158 s. 158 s - 40 s = 118 s = 1 min 58 s.


The Tan family arrived at the Singapore Zoological Gardens at 11.30 a.m. and left at 3.40 p.m. How long was their visit to the zoo? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Find the duration from 11.30 a.m. to 3.40 p.m. From 11.30 a.m. to 3.30 p.m. is 4 h, then 3.30 p.m. to 3.40 p.m. is 10 min. Total = 4 h 10 min.


A show started at 11.55 p.m. and ended 1 hour 45 minutes later. At what time did the show end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The MRT trains depart at intervals of 12 minutes. Find the time of departure of the fourth train if the first train departs at 7.45 p.m. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

There are 3 intervals between the 1st and 4th trains. 3 \(\times\) 12 min = 36 min. 7.45 p.m. + 36 min = 8.21 p.m.


Victor exercises 4 times a week. He exercises 2 hours each time. How many weeks will Victor need to reach 200 hours of exercise? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Hours per week = 4 \(\times\) 2 h = 8 h. Number of weeks = 200 h \(\div\) 8 h = 25 weeks.


Cameron's watch shows the wrong time. When he left his house at 7.03 a.m., his watch showed the time as 7.15 a.m. Cameron has an appointment with the dentist at 9.45 a.m. When he arrived, his watch showed the time as 10.40 a.m. How many minutes late was he for his appointment? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The watch is 12 min fast (7.15 - 7.03). When the watch showed 10.40 a.m., the real time was 10.40 - 12 min = 10.28 a.m. He was due at 9.45 a.m. Lateness = 9.45 a.m. to 10.40 a.m. on the watch = 55 min, minus the 12 min watch error = 43 min late. (9.45 to 10.40 = 55 min; 55 - 12 = 43 min.)


When it is 08 15 in Singapore, it is 09 15 in Seoul. Penny took a flight from Singapore to Seoul at 08 15 for a conference. The flight lasted 4 h 50 min. What time was it in Seoul when the flight landed? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Seoul is 1 h ahead of Singapore. Departure in Seoul time = 08 15 + 1 h = 09 15. Add the flight time: 09 15 + 4 h 50 min = 14 05. The flight landed at 1405 Seoul time.


When it is 10 00 in Country A, it is 08 40 in Singapore. Zacchaeus took a flight from Country A at 09 00 to Singapore. The flight lasted 3 h 29 min. What time was it in Singapore when the flight landed? Express your answer using the 24-hour clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Country A is 1 h 20 min ahead of Singapore (10 00 vs 08 40). Departure 09 00 in Country A = 09 00 - 1 h 20 min = 07 40 in Singapore time. Add the flight time: 07 40 + 3 h 29 min = 11 09. The flight landed at 1109.


Two lighthouses flash their lights every 24 seconds and 60 seconds respectively. They flash together at 8.40 p.m. When is the next time the two lighthouses will flash their lights together again? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Find the lowest common multiple of 24 and 60. Multiples of 24: 24, 48, 72, 96, 120; multiples of 60: 60, 120. LCM = 120 s = 2 min. So they flash together again 2 min after 8.40 p.m. = 8.42 p.m.


A quarter of a complete turn is equal to .

A complete turn is 360°. A quarter turn is \(\dfrac{1}{4}\) of 360° = 360° ÷ 4 = 90°.


The minute hand of a clock moves through in half an hour.

The minute hand sweeps a full circle (360°) in one hour. In half an hour it moves \(\dfrac{1}{2}\) of 360° = 180°.


I am facing East. Which direction will I face if I make a \(\dfrac{3}{4}\) turn to my right?

A \(\dfrac{3}{4}\) turn to the right is 270° clockwise. From East, clockwise in 90° steps: E → S → W → N. So I now face North.


Write 23 thousandths as a decimal. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

23 thousandths means \(\dfrac{23}{1000}\). The thousandths digit is the 3rd decimal place, so 23 thousandths = 0.023.


Fill in the missing number in the box below.<br>\(37.15 = 37 + \dfrac{<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />}{100}\)

37.15 = 37 + 0.15. The decimal part 0.15 = \(\dfrac{15}{100}\), so the missing numerator is 15.


Round 42.351 to the nearest tenth. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Nearest tenth = 1 decimal place. Look at the hundredths digit, 5: since it is 5 or more, round the tenths digit up from 3 to 4. So 42.351 rounds to 42.4.


Express 3.75 as a mixed number in its simplest form.


Arrange these numbers in order from the greatest to the smallest.
8.46    0.86    8.6    6.08
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (greatest), <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Compare the whole-number parts first: 8.46 and 8.6 (both 8), 6.08 (6), 0.86 (0). Between 8.6 and 8.46, compare tenths: 6 > 4, so 8.6 > 8.46. Order greatest to smallest: 8.6, 8.46, 6.08, 0.86.


Find the sum of 214.39 and 7.8 . <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Line up the decimal points: 214.39 + 7.80 = 222.19.


Find the difference between 36.6 and 29.7 . <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Subtract aligning decimal points: 36.6 - 29.7 = 6.9.


Find the value of 2.7 x 5 .
Round the answer to the nearest whole number.
Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

2.7 x 5 = 13.5. Rounding 13.5 to the nearest whole number: the tenths digit is 5, so round up to 14.


A magazine costs $5.90. It is $2.65 cheaper than a book. How much does the book cost? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The magazine is $2.65 cheaper than the book, so the book costs more. Book = $5.90 + $2.65 = $8.55.


Mr Seah earned $2745. He spent \(\dfrac{7}{9}\) of his earnings and saved the rest. How much did Mr Seah save? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A box contained some beads. Aisha took \(\dfrac{2}{5}\) of the beads. She took 78 beads. How many beads were there in the box at first? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

\(\dfrac{2}{5}\) of the beads = 78, so 2 units = 78 and 1 unit = 78 ÷ 2 = 39. The whole box = 5 units = 39 x 5 = 195 beads.


Devi mixed 4.05 kg of hazelnuts with 3.9 kg of cashew nuts to pack into 5 similar packets equally. What was the mass of 1 such packet of nuts? Leave your answer as a decimal. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total mass = 4.05 + 3.9 = 7.95 kg. Divided equally into 5 packets: 7.95 ÷ 5 = 1.59 kg per packet.


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

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 ÷ 2 = $25.25. Caili's starting amount = 25.25 + 20 = $45.25. Each had $45.25 at first.


Morris, Randy and Timothy have 2439 stickers altogether. Morris have twice as many stickers as Randy. Timothy have three times as many stickers as Morris. How many stickers does Timothy have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let Randy = 1 unit. Morris = twice Randy = 2 units. Timothy = three times Morris = 6 units. Total = 1 + 2 + 6 = 9 units = 2439, so 1 unit = 2439 ÷ 9 = 271. Timothy = 6 units = 271 x 6 = 1626 stickers.


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

One cupcake plus one muffin (a pair) costs (1 x $4) + (1 x $3) = $4 + $3 = $7. Number of pairs = 357 ÷ 7 = 51. Each pair has 2 items, so total = 51 x 2 = 102 cupcakes and muffins.


57 809 = 50 000 + 7000 + + 9<br>What is the missing number in the blank?

57 809 = 50 000 + 7000 + 800 + 9. The 8 is in the hundreds place, so the missing number is 800.


In 43 120, the digit is in the hundreds place.

In 43 120: 4 ten-thousands, 3 thousands, 1 hundred, 2 tens, 0 ones. The digit in the hundreds place is 1.


In which of the following numbers does the digit '3' have the greatest value?


Which one of the following is the first common multiple of 3 and 9?

Multiples of 3: 3, 6, 9, ... Multiples of 9: 9, 18, ... The smallest common multiple is 9.


The time on a clock is 9.25 p.m. What time will it be if the minute hand turns 180° clockwise?

A 180° turn is half a turn = 30 minutes. 9.25 p.m. + 30 min = 9.55 p.m.


Bryan was standing at the point marked A in the diagram. After making a \(\dfrac{3}{4}\)-turn in an anticlockwise direction, Bryan found himself facing south. Which direction was he facing at first?

A \(\dfrac{3}{4}\)-turn anticlockwise is 270° anticlockwise, which is the same as 90° clockwise. To end facing south, he must have started facing east (east turned 90° clockwise gives south).


A number when rounded to the nearest hundred is 6000. What is the largest possible number?

Numbers rounding to 6000 (nearest hundred) range from 5950 to 6049. The largest is 6049.


Charles had 430 cards. When he arranged them equally onto 8 pages of an album, he did not have enough space for some cards. How many cards were not in the album?

430 ÷ 8 = 53 remainder 6. So 53 cards fit on each page (424 in total) and 6 cards were left out.


There were 2389 more yellow marbles than blue marbles in a box. Another 398 yellow marbles and 594 blue marbles were put into the box. How many more yellow marbles than blue marbles were there in the box in the end?

Adding 398 yellow and 594 blue changes the difference by 398 − 594 = −196. New difference = 2389 − 196 = 2193.


Some factors of 28 are 1, 2, 4 and 28. What are the other factors? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Factors of 28: 1, 2, 4, 7, 14, 28. The ones not listed are 7 and 14.


What is the quotient when 6039 is divided by 7? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

6039 ÷ 7 = 862 remainder 5. The quotient is 862.


Joe took 20 minutes to draw a picture and another 1 hour 30 minutes to colour the picture. He completed it at 12 noon. At what time did he start to draw his picture?

Total time = 20 min + 1 h 30 min = 1 h 50 min. 12.00 noon − 1 h 50 min = 10.10 a.m.


The sum of 2 numbers is 422. The difference between these 2 numbers is 96. What is the smaller number? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Smaller number = (sum − difference) ÷ 2 = (422 − 96) ÷ 2 = 326 ÷ 2 = 163.


Mrs Toh's age is the seventh multiple of 6. Her age is 3 times of her daughter's age. How old is her daughter? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Seventh multiple of 6 = 7 × 6 = 42, so Mrs Toh is 42. Daughter's age = 42 ÷ 3 = 14.


A repeated pattern is formed using the letters w to z. The first letters are w x y z w x y z w x y z w x y z w x ... What is the 48th letter?

The pattern w x y z repeats every 4 letters. 48 ÷ 4 = 12 exactly, so the 48th letter is the last in the block = z.


1846 people attended a concert. There were 289 children. There were 349 more women than men. How many men were there? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Adults = 1846 − 289 = 1557. Removing the extra 349 women: 1557 − 349 = 1208, which is twice the number of men. Men = 1208 ÷ 2 = 604.


Mr Ng baked an equal number of muffins daily from Monday to Thursday. He baked 800 muffins each day on Friday and Saturday. He baked a total of 3400 muffins over the six days. How many muffins did he bake on Wednesday? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Fri + Sat = 800 × 2 = 1600. Mon–Thu total = 3400 − 1600 = 1800. Each of the 4 equal days (incl. Wednesday) = 1800 ÷ 4 = 450.


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? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mr Lee wanted to complete 26 laps around the track. Each lap was 400 m. He had completed 7800 m. How much further must he run? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The length of a rectangle is 10 cm. Its breadth is half of its length. What is the area of the rectangle? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Breadth = 10 ÷ 2 = 5 cm. Area = length × breadth = 10 × 5 = 50 cm².


Claire has 4 times as many stamps as Diana. Claire has twice as many stamps as Eliane. Diana has 201 fewer stamps than Claire. How many stamps do they have altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Claire = 4 units, Diana = 1 unit, so Diana is 3 units fewer = 201, giving 1 unit = 201 ÷ 3 = 67. Diana = 67, Claire = 268, Eliane = 268 ÷ 2 = 134. Altogether = 67 + 268 + 134 = 469.


Fiona and Nicole have a total of 1197 beads. Nicole and Lydia have a total of 1203 beads. The 3 girls have a total of 1292 beads. How many beads does Nicole have? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Lydia = total − (Fiona + Nicole) = 1292 − 1197 = 95. Nicole = (Nicole + Lydia) − Lydia = 1203 − 95 = 1108.


Tank A contained 9 litres of water. After some water was transferred from Tank A to Tank B, Tank A had 4 times as much water as Tank B. If Tank B had 2135 ml of water in the end, how much water was transferred from Tank A to Tank B? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

End: Tank B = 2135 ml, Tank A = 4 × 2135 = 8540 ml. Tank A started with 9 litres = 9000 ml, so water transferred = 9000 − 8540 = 460 ml.


In which of the following numbers does the digit 3 stand for 300?

The digit 3 stands for 300 when it is in the hundreds place. In 9360, the 3 is in the hundreds place, so it stands for 300.


Which of the following is not an equivalent fraction of \(\dfrac{1}{4}\)?

Equivalent fractions of \(\dfrac{1}{4}\) have the denominator equal to 4 times the numerator: \(\dfrac{2}{8}\), \(\dfrac{3}{12}\), \(\dfrac{6}{24}\) all simplify to \(\dfrac{1}{4}\). \(\dfrac{5}{16}\) does not (16 ÷ 5 ≠ 4), so it is not equivalent.


Which of the following decimals is the greatest?

Compare the tenths digit first: 0.357 and 0.324 both have 3 tenths, the others have fewer. Between them, 5 hundredths > 2 hundredths, so 0.357 is the greatest.


Which of the following numbers when rounded to the nearest ten becomes 72 400?

Rounding to the nearest ten, the result 72 400 comes from numbers between 72 395 and 72 404. 72 396 rounds up to 72 400. (72 349→72 350, 72 405→72 410, 72 443→72 440.)


Express 0.05 as a fraction in its simplest form.

0.05 = \(\dfrac{5}{100}\). Dividing numerator and denominator by 5 gives \(\dfrac{1}{20}\).


A flight took off from Singapore at 22 50 and arrived in Taiwan at 04 05 the next day. How long was the flight?

From 22 50 to 24 00 (midnight) is 1 h 10 min. From 00 00 to 04 05 is 4 h 5 min. Total = 5 h 15 min.


The table shows the number of students in 3 CCAs in a class. Each student is in one CCA only.
Badminton: 15
Swimming: 5
Tennis: ?
There are 38 students in the class. How many students are in Tennis CCA?

Tennis = total − Badminton − Swimming = 38 − 15 − 5 = 18 students.


Which of the following statements about a rectangle is not correct?

A rectangle has TWO pairs of parallel sides, not one. So the statement 'There is only one pair of parallel lines' is not correct.


I am a multiple of 4. When 5 is added to me, I am a multiple of 7. What number am I?

Test each multiple of 4: 16 + 5 = 21 = 7 × 3 (a multiple of 7). So the number is 16. (28+5=33, 32+5=37, 36+5=41 are not multiples of 7.)


There were 460 children at Sports Day Carnival. There were 140 more boys than girls. How many girls were there?

Remove the extra 140 boys: 460 − 140 = 320, which is twice the number of girls. Girls = 320 ÷ 2 = 160.


Siti and Tina had the same number of beads at first. After Siti threw away 24 beads and Tina bought another 84 beads, Tina had 4 times as many beads as Siti. How many beads did Siti have at first?

Let the start amount be n. Siti = n − 24, Tina = n + 84, and Tina = 4 × Siti. So n + 84 = 4(n − 24) = 4n − 96, giving 3n = 180, n = 60.


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?


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?


Write the missing number in the number pattern below.<br>6649 , 6799 , 6949 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , 7249

The pattern increases by 150 each time (6649 → 6799 → 6949). So the missing number is 6949 + 150 = 7099 (and 7099 + 150 = 7249).


Find the value of 6.84 × 7. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Which two of these fractions are in the simplest form?
\(\dfrac{2}{3}\) , \(\dfrac{3}{6}\) , \(\dfrac{4}{8}\) , \(\dfrac{5}{9}\)
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

A fraction is in simplest form when numerator and denominator share no common factor other than 1. \(\dfrac{3}{6}=\dfrac{1}{2}\) and \(\dfrac{4}{8}=\dfrac{1}{2}\) can be simplified. \(\dfrac{2}{3}\) and \(\dfrac{5}{9}\) cannot, so they are in simplest form.


Arrange the following numbers from the smallest to the greatest.
\(\dfrac{3}{4}\) , 0.705 , 0.075
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />


Two factors of 10 are 1 and 10. What are the other two factors of 10? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

The factors of 10 are 1, 2, 5 and 10. Apart from 1 and 10, the other two factors are 5 and 2.


Sumin took 45 min to walk from her home to school. She was 30 min early for the school concert. The concert started at 5 p.m. At what time did she leave her house? Give your answer in the 24-hour clock. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Concert starts at 5 p.m. = 1700. She arrived 30 min early at 1630. She walked 45 min, so she left at 1630 − 45 min = 1545.


The amount of water in the tank at 08 00 was 3 times the amount of water at 13 00. How much water was there in the tank at 13 00? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the graph, the amount of water at 08 00 was 24 \(\ell\). At 13 00 it is one-third of that: 24 ÷ 3 = 8 \(\ell\).


There are 174 fruits in a basket. \(\dfrac{1}{3}\) are apples and the rest are pears. How many pears are there? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Siti had the same number of $2 and $5 notes. She had a total of $252. How many $2 notes did she have? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Group one $2 note and one $5 note: each group is worth $2 + $5 = $7. Number of groups = $252 ÷ $7 = 36. So she had 36 $2 notes.


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? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Buy as many sets of 4 as possible: 49 ÷ 4 = 12 sets remainder 1. 12 sets × $11 = $132, plus 1 single muffin × $3 = $3. Least amount = $132 + $3 = $135.


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? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Total cost = $16.40 + $3.30 = $19.70. (b) Remove the extra $2.90 of the pencil case: $19.70 − $2.90 = $16.80, which is 4 equal notebook costs. 1 notebook = $16.80 ÷ 4 = $4.20.


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? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Venus spent \(\dfrac{1}{4}\), so $141 is the remaining \(\dfrac{3}{4}\). 1 unit = $141 ÷ 3 = $47, which is the \(\dfrac{1}{4}\) she spent. (b) Melvin spent 2 × $47 = $94, and that is \(\dfrac{1}{3}\) of his money (he had \(\dfrac{2}{3}\) left). His \(\dfrac{2}{3}\) left = $94 × 2 = $188.


Sarah gives some erasers equally to her friends. If she gives 6 erasers to each friend, she will need another 4 erasers. If she gives 5 erasers to each friend, she will have 3 erasers left. (a) How many friends does Sarah have? (b) How many erasers does Sarah have? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Each friend gets 1 more eraser in the first case, needing 4 + 3 = 7 extra erasers in total, so there are 7 friends. (b) With 5 each: 7 × 5 + 3 = 38 erasers (check: 7 × 6 − 4 = 38).


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? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

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 × $12 = $60.


In which of the following numbers does the digit 7 stand for 700?

The digit 7 stands for 700 when it is in the hundreds place. In 5740, the 7 is in the hundreds place, so it stands for 700. Answer: 5740.


27 358 rounded to the nearest hundred is .

To round 27 358 to the nearest hundred, look at the tens digit (5). Since 5 ≥ 5, round up: the hundreds digit 3 becomes 4 and the tens/ones become 0. Answer: 27 400.


In the number 68.59, the digit is in the tenths place.

In a decimal, the first digit after the decimal point is the tenths place. In 68.59 the digit right after the point is 5. Answer: 5.


Which of the following is not a factor of 56?

Check each: 56 ÷ 2 = 28, 56 ÷ 8 = 7, 56 ÷ 4 = 14 (all exact, so they are factors). 56 ÷ 6 = 9 remainder 2, so 6 is NOT a factor. Answer: 6.


\(5\dfrac{2}{9}\) = \(\dfrac{ }{9}\)<br>What is the missing number in the box?

Convert the mixed number to an improper fraction: 5 × 9 + 2 = 47, over 9. So the missing numerator is 47. Answer: 47.


Find the value of \(\dfrac{5}{12}-\dfrac{1}{4}\)


Make an equivalent fraction with denominator 100: \(\dfrac{3}{4}=\dfrac{75}{100}\) = 0.75. Answer: 0.75.


Which of the following is a multiple of both 3 and 7?

A common multiple of 3 and 7 must be a multiple of 21. 42 = 21 × 2, and 42 ÷ 3 = 14, 42 ÷ 7 = 6, both exact. Answer: 42.


Arrange these numbers from the smallest to the greatest.<br>0.204 , 0.402 , 0.24 , 0.42

Compare by place value: 0.204 < 0.24 < 0.402 < 0.42. (0.204 and 0.24 share tenths 2, then hundredths 0 < 4; 0.402 and 0.42 share tenths 4, then hundredths 0 < 2.) Answer: 0.204, 0.24, 0.402, 0.42.


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?


The table shows the duration of different activities held at a children's workshop.
Art Jamming — 2 h 45 min
Build-A-Bear — 1 h 45 min
Creative Music — 1 h 15 min
Dino Dash — 2 h 15 min
Rachel started an activity at 09 35 and ended at 11 50. Which activity did she participate in?

From 09 35 to 11 50: 09 35 to 11 35 is 2 h, plus 35 to 50 is 15 min, total 2 h 15 min. That matches Dino Dash. Answer: Dino Dash.


Henry has some stamps. John has 3 times as many stamps as Henry. They have 2700 stamps altogether. How many stamps does Henry have?

Henry = 1 unit, John = 3 units, total = 4 units = 2700. 1 unit = 2700 ÷ 4 = 675. Henry has 675 stamps. Answer: 675.


The table shows the number of chicken wings eaten by a group of children at a party.
Wings eaten by each child: 0, 1, 2, 3
Number of children: 5, 3, 8, 12
What was the total number of chicken wings eaten by the children at the party?


Thomas went for a movie which ended at 18 00. The movie lasted 2 h 15 min. What time did the movie start?

Subtract the duration from the end time: 18 00 − 2 h = 16 00, then − 15 min = 15 45. Answer: 15 45.


The length of a bus is 12.1 m when rounded to 1 decimal place. Which of the following is the greatest possible length of the bus?

A length rounds to 12.1 if it is from 12.05 up to but not including 12.15. Among the options, the greatest value that still rounds to 12.1 is 12.14 m (12.19 rounds to 12.2). Answer: 12.14 m.


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?

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 − $33 = $156. Answer: $156.


Write six thousand and twenty in figures.<br><input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Six thousand = 6000, twenty = 20, with no hundreds and no tens-of-hundreds in between. 6000 + 20 = 6020. Answer: 6020.


What is the missing number in the number pattern below?<br>85 211, 85 251, 85 291, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 85 371


When a number is divided by 6, it has a quotient of 1006 and remainder of 3. What is the number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Number = quotient × divisor + remainder = 1006 × 6 + 3 = 6036 + 3 = 6039. Answer: 6039.


Use all the digits 3, 4, 6, 9 to form the largest even number. Each digit can only be used once. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

An even number must end in an even digit (4 or 6). To make it largest, put the biggest digits first; the smaller even digit (4) goes last. Largest arrangement of 9, 6, 3 then 4 → 9634. Answer: 9634.


The perimeter of the square is 64 cm. Find the area of the square.<br><input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> \(cm^2\)

Side of square = perimeter ÷ 4 = 64 ÷ 4 = 16 cm. Area = side × side = 16 × 16 = 256 cm². Answer: 256 cm².


Mr. Ben bought some flour. He used 250 g of it and packed the remaining flour equally into 6 packets. The mass of 1 such packet of flour was 175 g. How much flour did Mr. Ben buy?<br><input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> \(g\)

Flour packed = 6 × 175 = 1050 g. Total bought = flour used + flour packed = 250 + 1050 = 1300 g. Answer: 1300 g.


Eunice bought \(\dfrac{3}{5}\) m of ribbon to tie a present. Sarah bought \(\dfrac{1}{2}\) m more ribbon than Eunice to make bows. How much ribbon did they buy altogether?<br>\(m\)


\(\dfrac{3}{4}\) of a number is 21. What is the number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

\(\dfrac{3}{4}\) of the number = 21, so \(\dfrac{1}{4}\) = 21 ÷ 3 = 7. The whole number = 7 × 4 = 28. Answer: 28.


Henry paid $4 for 8 identical erasers. What was the cost of 1 such eraser?<br>$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A big box contains twice as many tarts as a small box. There are a total of 136 tarts in 3 big boxes and 2 small boxes. How many tarts are there in a big box? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let a small box = 1 unit, so a big box = 2 units. 3 big + 2 small = 3×2 + 2×1 = 8 units = 136, so 1 unit = 17. A big box = 2 units = 2 × 17 = 34 tarts. Answer: 34.


There are 135 pies at a party. \(\dfrac{2}{9}\) of the pies are chicken pies and the rest are mushroom pies. How many more mushroom pies than chicken pies are there at the party? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

1 unit = 135 ÷ 9 = 15. Chicken pies = 2 units = 30. Mushroom pies = 7 units = 105. Difference = 105 − 30 = 75. Answer: 75.


Dora, Erica and Felicia had $4300 altogether. Dora had $980 more than Erica. Felicia had $340 less than Erica. How much money did Felicia have?<br>$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Julian read \(\dfrac{2}{9}\) of a book on Monday and \(\dfrac{2}{3}\) of the book on Tuesday. He read the remaining pages of the book on Wednesday. He read 76 more pages on Tuesday than on Monday. What fraction of the book did he read on Wednesday?


Add the place values: 60 000 + 4 000 + 800 + 7 = 64 807. The ten-thousands digit is 6, thousands 4, hundreds 8, tens 0, ones 7.


Complete the following number pattern.<br>7 , 11 , 15 , , , 27

The pattern increases by 4 each time: 7, 11, 15, 19, 23, 27. So the two missing numbers are 19 and 23.


1 whole = 6 sixths, so 2 wholes = 2 x 6 = 12 sixths. (2 = 12/6.)


Which of the following decimals is the smallest?

Compare after the decimal point. 4.032 has 0 tenths and 3 hundredths; 4.07 has 0 tenths, 7 hundredths. 4.032 < 4.07 < 4.18 < 4.85, so 4.032 is smallest.


In which of the following numbers does the digit 7 stand for 7 tenths?

7 tenths means the 7 is in the first place after the decimal point. In 413.75 the digit 7 is in the tenths place (0.7). The others have 7 in tens, ones or hundredths places.


Madam Lim bought \(\dfrac{4}{5}\) kg of chicken meat. She bought \(\dfrac{3}{10}\) kg less than the amount of chicken meat bought by Mrs Tan. How many kilograms of chicken meat did Mrs Tan buy?


4008 - 741 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Four factors of 12 are 1, 2, 6 and 12. What are the other two factors of 12? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

The factors of 12 are 1, 2, 3, 4, 6, 12. Given 1, 2, 6 and 12, the remaining two factors are 3 and 4.


Which two of the following fractions are in the simplest form?
\(\dfrac{2}{3}\) , \(\dfrac{10}{12}\) , \(\dfrac{3}{7}\) , \(\dfrac{6}{8}\)
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

A fraction is in simplest form when numerator and denominator share no common factor besides 1. 2/3 and 3/7 cannot be simplified. 10/12 = 5/6 and 6/8 = 3/4 can be simplified.


Write 5 thousandths as a decimal. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Thousandths is the third place after the decimal point. 5 thousandths = 0.005.


Round 117.65 to the nearest whole number. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Look at the tenths digit (6). Since 6 is 5 or more, round up: 117.65 rounds to 118.


Xiao Hui had more than 10 and fewer than 40 candies. When she packed the candies in bags of 7, she was left with 2 candies. When she packed them in bags of 3, she had no candies left. How many candies did Xiao Hui have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Numbers between 10 and 40 leaving remainder 2 when divided by 7: 16, 23, 30, 37. Of these, the one divisible by 3 (no remainder) is 30 (30 = 7x4 + 2 and 30 = 3x10).


Jeremy thought of a decimal number with 3 decimal places. When he rounded the number to the nearest hundredth, the value was 10.05. Find the greatest possible value of the decimal number Jeremy thought of. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

To round to 10.05 (nearest hundredth), the thousandths digit must be 0-4 to round down. The greatest 3-decimal-place number that rounds to 10.05 is 10.054.


The difference between the two numbers is 6.18. Given the larger number is 8.03, find the value of the smaller number. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Smaller number = larger - difference = 8.03 - 6.18 = 1.85.


Yan Ling started reading at 4.20 p.m. She read for 1 h 35 min. What time did she stop reading? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Shop A has 50 apples more than Shop B. Shop A has twice as many apples as Shop C. Given that shops A, B and C have 250 apples altogether, how many apples does Shop C have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let Shop C = x. Then Shop A = 2x. Shop B = A - 50 = 2x - 50. Total: x + 2x + (2x - 50) = 250, so 5x - 50 = 250, 5x = 300, x = 60. Shop C has 60 apples.


Ramli spent \(\dfrac{1}{3}\) of his monthly salary on a television. He spent \(\dfrac{2}{9}\) of his salary on food and saved the rest. Given that Ramli saved $2392, how much did Ramli spend on food? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The total mass of 2 packets of sugar and 2 packets of flour was 6.54 kg. The mass of 1 packet of flour was twice as heavy as 1 packet of sugar. What was the mass of a packet of flour? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let 1 packet of sugar = 1 unit, so 1 packet of flour = 2 units. Total units = 2 sugar + 2 flour = 2(1) + 2(2) = 6 units = 6.54 kg. 1 unit = 6.54 / 6 = 1.09 kg. Flour = 2 units = 2 x 1.09 = 2.18 kg.


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? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A total of 2590 adults and children attended a family event on one weekend. 1770 adults attended the event. The number of adults at the event was three times as many as the number of boys.
(a) How many children were there at the event?
(b) How many girls were at the event?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Children = total - adults = 2590 - 1770 = 820 children. (b) Boys = adults / 3 = 1770 / 3 = 590. Girls = children - boys = 820 - 590 = 230 girls.


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?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

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.


The total mass of 3 children is 115.9 kg. John weighs twice as heavy as Amelia. Max is 8.4 kg heavier than John.
(a) What is Amelia's mass?
(b) What is the difference between Amelia's and Max's mass?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Mr Lee started working on his project at 8.45 a.m. He took a 40-minute lunch break. Then, he continued working on the project till he finished it at 5.30 p.m.
(a) How long did Mr Lee spend working on his project?
(b) Mr Lee reached the gym at 5.45 p.m. He exercised for 1 hour 40 minutes before driving home. He reached home at 7.50 p.m. How long did he take to drive home?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) From 8.45 a.m. to 5.30 p.m. is 8 h 45 min total. Subtract the 40 min lunch: 8 h 45 min - 40 min = 8 h 5 min working. (b) He reached the gym at 5.45 p.m., exercised 1 h 40 min, finishing at 7.25 p.m. He reached home at 7.50 p.m., so driving took 7.50 - 7.25 = 25 min.


Andrew has 1250 stickers and Ben has 490 stickers more than Andrew. Ben gave some of his stickers to Andrew. In the end, Ben had 626 stickers less than Andrew. How many stickers did Ben give to Andrew? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Ben at first = 1250 + 490 = 1740. Total stickers = 1740 + 1250 = 2990 (unchanged). In the end Ben = Andrew - 626. So Andrew + (Andrew - 626) = 2990, 2 x Andrew = 3616, Andrew = 1808, Ben = 1182. Ben gave away = 1740 - 1182 = 558 stickers.


In a box, \(\dfrac{1}{8}\) of the marbles were blue. \(\dfrac{7}{12}\) of the marbles were red. There was an equal number of blue and green marbles in the box. The rest of the marbles were pink. There was a total of 581 green and pink marbles in the box. How many red marbles were there in the box? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


28 549 rounded to the nearest hundred is .

Look at the tens digit (4). Since 4 < 5, round down: 28 549 → 28 500.


Find the value of \(\dfrac{5}{12} - \dfrac{1}{3}\).

Make the denominators the same: \(\dfrac{1}{3} = \dfrac{4}{12}\). Then \(\dfrac{5}{12} - \dfrac{4}{12} = \dfrac{1}{12}\).


In which of the following numbers does the digit 4 stand for 4 tenths?

4 tenths = 0.4, so the digit 4 must be the first digit after the decimal point. In 30.42 the 4 is in the tenths place.


Arrange the following fractions in order, beginning with the greatest.<br>\(\dfrac{3}{4}\), \(\dfrac{7}{12}\), \(\dfrac{7}{8}\)


Coreen took 50 minutes to complete her work. She finished her work at 12 00. Express her starting time using the 12-hour clock.

Finished at 12 00 (noon). Start time = 12 00 − 50 min = 11 10, which is 11.10 a.m.


A tree is 5.9 m when its height is rounded to 1 decimal place. Which of the following could be the actual height of the tree?

To round to 5.9, the value must be from 5.85 up to (but not including) 5.95. Only 5.88 lies in this range (5.84 rounds to 5.8; 5.95 and 5.99 round to 6.0).


Write six thousand and eight in figures.<br><input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Six thousand = 6000, and eight = 8 in the ones place (no hundreds or tens). So 6000 + 8 = 6008.


Arrange these numbers from the smallest to the greatest.
0.784, 8.4, 0.804, 0.095
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Compare whole-number parts first: 8.4 is largest. Among the others (all 0.something) compare tenths: 0.095 (0 tenths) < 0.784 < 0.804. Order: 0.095, 0.784, 0.804, 8.4.


Some factors of 32 are 1, 2, 8 and 32. What are the other two factors of 32?<br><input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

The factors of 32 are 1, 2, 4, 8, 16, 32. The two not listed are 4 and 16 (4 × 8 = 32, 2 × 16 = 32).