Ethan has 40 more marbles than Dylan. How many marbles must Ethan give to Dylan so that he will have 8 more marbles than Dylan? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The gap must shrink from 40 to 8, a reduction of 32. Each marble Ethan gives reduces the gap by 2, so he gives 32 / 2 = 16 marbles.


Simon had 50 more stickers than Mark. After Simon had given 88 stickers to Mark, he was left with 120 stickers. How many stickers did Mark have at first? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Simon at first = 120 + 88 = 208. Mark had 50 fewer than Simon at first: 208 - 50 = 158.


A baker baked 286 cupcakes in the morning. He then baked another 365 cupcakes in the afternoon. The baker sold 483 cupcakes that day. (a) How many cupcakes did the baker bake in all? (b) How many cupcakes were left at the end of the day? Ans: (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 tank, containing 1850 ml of water at first, has a capacity of 4 l. After some water was poured into the tank, another 860 ml of water is needed to fill it up completely. How much water was poured into the tank? Give your answer in litres and millilitres. Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> l <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> ml

4 l = 4000 ml. When 860 ml more is needed, tank holds 4000 - 860 = 3140 ml. Water poured in = 3140 - 1850 = 1290 ml = 1 l 290 ml.


Ethan spent \(\dfrac{1}{3}\) of his money on food. He spent \(\dfrac{1}{6}\) of it on magazines and \(\dfrac{1}{4}\) of it on shoes. What fraction of his money was left? Express your answer in its simplest form. Ans:


Michelle worked for 6 days in a week. She worked from 09 00 to 18 00 every day. (a) How many hours did she work every day? (b) How many hours did she work in 4 weeks? Ans: (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) 09 00 to 18 00 = 9 hours per day. (b) Per week: 9 x 6 = 54 hours; in 4 weeks: 54 x 4 = 216 hours.


Shop A sold 487 more marbles than Shop B. Shop C sold 243 more marbles than Shop B. The three shops sold a total of 1000 marbles. (a) How many marbles did Shop A sell? (b) How many more marbles did Shop A sell than Shop C? Ans: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Thaddeus, Ivan and Ryan had a total of 381 coins. Ivan had twice as many coins as Ryan and Thaddeus had 56 more coins than Ivan. (a) How many coins did Thaddeus have? (b) If Ryan's mother gave Ryan another 100 coins, how many coins would Ryan have now? Ans: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Ryan = 1 unit, Ivan = 2 units, Thaddeus = 2 units + 56. Total = 5 units + 56 = 381, so 5 units = 325, 1 unit = 65. (a) Thaddeus = 2 x 65 + 56 = 186. (b) Ryan = 65 + 100 = 165.


Amirah has 7 boxes of cupcakes. There are 8 cupcakes in each box. How many cupcakes does Amirah have altogether?


How many minutes are there in 2 h 18 min?


Arrange the following fractions from the smallest to the greatest. 2/3 , 1/4 , 5/12


The difference between two numbers is 670. The smaller number is 1780. Find the sum of the two numbers.


Jinny has $249. Karthi has three times as much as Jinny. How much do they have altogether?


A movie starts at 7.25 p.m. It is now 15 minutes to seven. How long will it be before the movie starts?

15 minutes to seven = 6.45 p.m. From 6.45 to 7.25 is 40 minutes.


What is the missing number in the pattern? 4930 , 4690 , 4450 , 4210 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , 3730

Each term decreases by 240. 4210 - 240 = 3970.


Look at the letters H A M L E T. Which 2 letters have both perpendicular and parallel lines?

H and E each have both perpendicular lines (meeting at right angles) and parallel lines.


A number when divided by 5 has a quotient of 38 and a remainder of 3. What is the number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


May has 58 stickers. Lynn has 5 times as many stickers as her. How many stickers will Lynn have to give May so that both of them have the same number of stickers? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Lynn = 5 x 58 = 290. Total = 290 + 58 = 348. Each should have 348 / 2 = 174. Lynn must give 290 - 174 = 116 stickers.


Mindy's watch is six minutes slow. Her watch shows 5.00 p.m. now. What is the actual time? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

A slow watch shows an earlier time, so the actual time is 6 minutes ahead: 5.00 + 6 min = 5.06 p.m.


What is the missing number? 10/12 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />/18

10/12 = 5/6 = 15/18. Multiply numerator and denominator by the same factor: 6 x 3 = 18, 5 x 3 = 15.


Nurul has 17 notes in her piggy bank. There are only $2 and $5 notes in her piggy bank. The total value of the notes is $49. How many $5 notes are there in her piggy bank? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

If all 17 were $2 notes, value = $34. Extra needed = $49 - $34 = $15. Each $5 note adds $3 over a $2 note, so $15 / $3 = 5 five-dollar notes.


There are 960 boys in a hall. There are 395 more boys than girls in the same hall. How many children are there in the hall altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Chong and Jill have 180 cookies altogether. Chong has 30 cookies more than Jill. How many cookies does Jill have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Remove the extra 30: 180 - 30 = 150. Each share = 150 / 2 = 75. Jill has 75 cookies.


Pravin, Hadi and Larry have 442 stamps altogether. Larry has four times as many stamps as Hadi. Pravin has 34 more stamps than Hadi. How many stamps does Hadi have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Remove Pravin's extra 34: 442 - 34 = 408. This equals 6 units of Hadi (Hadi 1 + Larry 4 + Pravin 1). 408 / 6 = 68 stamps for Hadi.


Molly had 800 ml of apple juice for a party at first. She bought another 10 bottles of apple juice for the party. Each bottle contained 330 ml of apple juice. She served the apple juice to her guests and had 590 ml of apple juice left. (a) What was the total amount of apple juice she had for the party? (b) How much apple juice was served to the guests? <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 smallest 4-digit even number that can be formed with the digits 7, 3, 6 and 2 ?

An even number ends in an even digit. To be smallest, put smallest digits first: 2, 3, then last digit must be even. Remaining digits 7 and 6; smallest hundreds is 3, so 23_6 -> 2376 (ends in even 6).


Which of the following fractions is smaller than 1/2 ?


Betty has a roll of ribbon which is 5 m long. She uses 1 m 25 cm to wrap a gift box and 85 cm to make a ribbon bow. What is the length of ribbon left ?


Arrange the fractions, from the smallest to the biggest fraction. 3/6   1/3   4/9   <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="?" />

Convert to a common comparison: 1/3 = 0.333, 4/9 = 0.444, 3/6 = 0.5. Smallest to biggest: 1/3, 4/9, 3/6.


Some sticks are placed, at an equal distance from each other, in a straight line. The distance between the 1st and the 4th stick is 24 cm. The distance between the 1st and the last stick is 56 cm. How many sticks are there altogether ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From 1st to 4th stick there are 3 gaps = 24 cm, so each gap = 8 cm. From 1st to last = 56 cm = 56 / 8 = 7 gaps, so number of sticks = 7 + 1 = 8.


Miss Foo paid $12 for a highlighter, a stapler and a file. The file cost $5.30. The stapler cost more than the highlighter. The total cost of the highlighter and the stapler was less than the cost of the file.

Highlighter + stapler = $12 - $5.30 = $6.70, which is more than the file's $5.30. So the statement that their total was less than the file is False.


Alvin has 5070 LEGO bricks. He has 1094 more bricks than Farhan. a) How many bricks does Farhan have ? b) How many bricks do the two boys have altogether ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


The Chin family attended a birthday dinner that ended at 19 20, according to the clock in the dining room. However, the clock was 10 minutes slower. The dinner lasted 1 h 30 min. What was the actual time the dinner started ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Dining-room clock showed 19 20 at the end; it was 10 min slow, so actual end time = 19 30. The dinner lasted 1 h 30 min, so actual start = 19 30 - 1 h 30 min = 18 00.


Uncle Daniel bought an apple pie and cut it into 12 pieces. He gave \(\dfrac{1}{4}\) of the pie to his niece and 4 pieces to his neighbour. What fraction of the pie was left ? Express your answer in its simplest form.

1/4 of 12 = 3 pieces to niece; 4 pieces to neighbour; given away = 7 pieces. Left = 12 - 7 = 5 pieces = 5/12 (already simplest).


Annie made 3 times as many clay stars as Eileen. Linda made 75 fewer clay stars than Annie. The three girls made a total of 919 clay stars. How many clay stars did Eileen make ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let Eileen = 1 unit, Annie = 3 units, Linda = 3 units - 75. Total = 1u + 3u + 3u - 75 = 7u - 75 = 919, so 7u = 994, u = 142. Eileen made 142.


2 badminton rackets and 1 basketball cost $102.50. 1 badminton racket and 2 basketballs cost $107.50. What is the total cost of 1 badminton racket and 1 basketball ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Adding both: 3 rackets + 3 basketballs = $102.50 + $107.50 = $210. So 3 x (1 racket + 1 basketball) = $210, giving 1 racket + 1 basketball = $210 / 3 = $70.


9 thousands = 9000, 7 tens = 70. Total = 9070.


Write nine thousand, six hundred and six in numerals. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Nine thousand = 9000, six hundred = 600, six = 6. Total = 9606.


Write the missing number in the number pattern.
2649 , 2799 , 2949 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , 3249

The pattern increases by 150 each time. 2949 + 150 = 3099.


Find the sum of 2839 and 197. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the difference between 3001 and 549. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The difference between two numbers is 279. The greater number is 866. Find the smaller number. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mrs Tan bought a blanket for $36.60. She bought a bedsheet for $29.90. How much did Mrs Tan pay for the two items altogether?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A plastic box costs $13.50. The plastic box costs $6.90 less than a water bottle. How much does the water bottle cost?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A shirt cost $39.90. During a sale Mr Lee paid $27.50 for it. How much did Mr Lee save?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Moses had $30. He bought a box of crayons for $15.90. How much did he have left?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


There are 16 sweets in a box. How many sweets are there in 8 such boxes?


When a number is divided by 9, it has a remainder of 6. Which of the following is a possible number?

A number with remainder 6 when divided by 9 fits 9k + 6. Testing: 54 = 9x6 r0; 66 = 9x7 r3; 72 = 9x8 r0; 78 = 9x8 + 6, remainder 6. So 78 is the possible number.


Sandra has 3 times as many stamps as Mary. They have 288 stamps altogether. How many stamps does Mary have?

Mary = 1 unit, Sandra = 3 units, total 4 units = 288. 1 unit = 288 div 4 = 72.


Ben had some marbles. He gave all his marbles to 4 friends. Each friend received 12 marbles. How many marbles did Ben have at first? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mr Lee had 246 packets of erasers. Each packet had 9 erasers in it. How many erasers were there altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mrs Tan had 259 eggs. She packed 5 eggs in each tray. How many eggs were left unpacked? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

259 div 5 = 51 remainder 4. So 4 eggs were left unpacked.


An oven cost $256 in Shop A. The same oven cost twice as much in Shop B. What was the cost of the oven in Shop B?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


An oven cost $256 in Shop A. The same oven cost twice as much in Shop B. Mary had $400. How much change will she receive if she bought an oven from Shop A?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Jeremy gets $20 of pocket money every day. He spends $13 every day and saves the rest. How many days will Jeremy take to save a total of $476? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


John sold 523 apples. He sold 155 fewer apples than Jim. Tom sold 3 times as many apples as Jim. How many apples did Tom sell? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Which of the following has the greatest mass?

Convert to grams: 17 kg = 17000 g; 807 g; 8700 g; 1 kg 70 g = 1070 g. Largest is 17 kg.


Find the missing numerator and denominator.
3/8 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />/24 = 18/<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Arrange the fractions in order. Begin with the smallest.
2/9 , 3/4 , 7/8 , 1/2
<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="?" />


Find the difference between \(\dfrac{1}{3}\) and \(\dfrac{5}{6}\). Give your answer in its simplest form.


The distance between School A and School C is 942 m. The distance between School A and School C is 3 times the distance between School B and School C. What is the distance between School B and School C?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


Gopal ate \(\dfrac{3}{10}\) of a pizza. His sister ate \(\dfrac{1}{5}\) of the same pizza. How much more pizza did Gopal eat than his sister?


Gopal ate \(\dfrac{3}{10}\) of a pizza. His sister ate \(\dfrac{1}{5}\) of the same pizza. Gopal ate another \(\dfrac{2}{5}\) of the pizza. What fraction of the pizza did he eat in total?


Find the value of 4 thousands + 3 tens + 8 ones.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the product of 6 and 9.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the quotient and remainder of 625 ÷ 7.
Quotient <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> Remainder <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Aileen bought some sweets for her friends. She packed the sweets into 8 packets. There were 6 sweets in each packet. After packing, she was left with 4 sweets. How many sweets did she buy?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Sweets in packets = 8 × 6 = 48. Add the leftover: 48 + 4 = 52.


Thomas made a different number of paper planes each day. On the first day, he made 6 paper planes. For each subsequent day, he made twice as many paper planes as he did the day before. How many paper planes would he make on the third day?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


On Sunday, a baker sold 2961 banana muffins. He sold 584 fewer banana muffins than chocolate muffins that day. How many muffins did he sell altogether on Sunday?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


In 5293, reading from the right: 3 ones, 9 tens, 2 hundreds, 5 thousands. So 9 is in the tens place.


Which set of numbers is found in the multiplication table of 8?


Julia bought a cake for $19.30. She had $3.80 left in her wallet. How much money did she have at first?


Find the sum of 7456 and 855. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Complete the number pattern. 1305, 1405, 2405, 2505, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 3605, 4605, 4705, 5705


When a number is divided by 5, the quotient is 78 and the remainder is 4. What is the number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Number = quotient x divisor + remainder = 78 x 5 + 4 = 390 + 4 = 394.


Lionel bought a football for $29.90 and a water bottle for $11.85. He gave the cashier a $50 note. How much change did he receive from the cashier? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Ali had 230 stickers at first. After Ali gave 20 stickers to Lena, he had 34 more stickers than Lena in the end. How many stickers did Lena have in the end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

After giving away 20, Ali had 230 - 20 = 210 stickers. Lena had 34 fewer than Ali: 210 - 34 = 176 stickers.


Mr Tan bought 504 pens. He packed 6 pens into each bag. How many bags did Mr Tan use to pack all the pens? Each pen cost $2. How much did Mr Tan pay for all the pens? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> bags, $<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Arrange these fractions from the smallest to the greatest. 7/8, 1/2, 3/7, 7/12


What is the missing numerator? 3/8 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />/24

8 x 3 = 24, so multiply the numerator by 3: 3 x 3 = 9. So 3/8 = 9/24.


Add \(\dfrac{3}{10}\) and \(\dfrac{1}{5}\). Express your answer in its simplest form.


Jenny bought 72 boxes of cookies. There were 9 cookies in each box. She ate 15 cookies. How many cookies did she have left? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total cookies = 72 x 9 = 648. After eating 15: 648 - 15 = 633.


Johnson had 3 times as many stickers as Nicole. Nicole had 6 more stickers than Santhi. They had 314 stickers altogether. How many stickers did Nicole have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Write nine thousand and forty-two in numerals. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Nine thousand and forty-two = 9000 + 42 = 9042.


Add 4108 and 3897. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Subtract 2146 from 7062. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange the numbers in increasing order.
4772, 4227, 4727 <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 by place value: 4227 < 4727 < 4772. Increasing order: 4227, 4727, 4772.


Compare the numbers using '<' or '>'.
(a) 4105 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> 2398
(b) 38 + 21 <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> 46 + 37


Write the missing number in the number pattern.
4227, 4127, 4027, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 3827, 3727

The pattern decreases by 100 each time. 4027 - 100 = 3927.


What is the missing number in the number pattern?
6171, 6172, 6272, 6273, 6373, 6374, 6474, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The pattern alternates +1 then +100. After 6474 the next step is +1, giving 6475.


Look at the numbers.
8143, 1726, 3962, 9057
Find the difference between the greatest number and the smallest number. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Use all the digits to form the greatest even number between 5000 and 8000.
1, 3, 6, 8 <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Between 5000 and 8000 the thousands digit must be 6. To be even and greatest, the ones digit must be 8, then the remaining digits 3 and 1 go in descending order: 6318.


Jenny has 685 stamps. She has 134 stamps fewer than Amy. How many stamps do they have altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The difference between two numbers is 2307. The smaller number is 3480.
(a) What is the greater number?
(b) What is the sum of the two numbers? <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 pen costs $3.50. It costs 65¢ less than a box of colour pencils. How much does the box of colour pencils cost? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The box of colour pencils = $3.50 + $0.65 = $4.15.


Dawn and Eileen have 188 stamps altogether. Dawn has 3 times as many stamps as Eileen. How many stamps does Eileen have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Eileen = 1 unit, Dawn = 3 units, total = 4 units = 188. 1 unit = 188 ÷ 4 = 47, so Eileen has 47 stamps.


Miss Goh had 102 cupcakes. She wanted to pack all the cupcakes into boxes. Each box could contain at most 8 cupcakes. What is the least number of boxes she would need? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

102 ÷ 8 = 12 r 6. The 6 leftover cupcakes need 1 more box, so 12 + 1 = 13 boxes.


Mr Wong wanted to buy a hardcover notebook that cost $12.80. However, he found that he needed $3.90 more.
(a) How much money did Mr Wong have?
(b) He decided to buy a cheaper softcover notebook which cost $7.50. How much money would Mr Wong have left in the end? <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="?" />


Sara had $30.80 at first. She spent some of her money to buy a gift for her mother. Then her father gave her another $12. In the end, she had $15.50. How much did Sara spend on the gift? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Before the gift money: $15.50 - $12 = $3.50 left after spending. Spent = $30.80 - $3.50 = $27.30.


Miss Chua prepared 100 balloons for her class. She wanted to give 3 balloons to every pupil but she was short of 17 balloons. How many pupils were there in her class? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

She needed 100 + 17 = 117 balloons. Pupils = 117 ÷ 3 = 39.


Evelyn has 16 cookies. Freya has 7 times as many cookies as Evelyn. Gerald has half as many cookies as Freya. How many cookies does Gerald have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Which of these fractions is greater than 4/5?


What fraction is greater than \(\dfrac{2}{3}\) and less than \(\dfrac{8}{9}\)?

Using ninths: 2/3 = 6/9 and 8/9. A fraction between them is 7/9. Answer key: 7/9.


Arrange the fractions in order, beginning with the greatest.
1/2, 5/8, 4/9, 5/6 <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="?" />   (d) <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />


Which of the following is six thousand and forty-five in numerals?


In the number pattern, what is the missing number?
4100, 4135, 4170, _______, 4240, 4275

The pattern increases by 35 each time. 4170 + 35 = 4205.


6169 people were watching a soccer match. 4096 of them were men and the rest were women. How many fewer women than men were there?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


There were 72 chairs in the school hall. The prefects arranged 8 chairs in each row. How many rows of chairs did they arrange?


The librarian packed 384 books equally into 8 boxes for P1 classes to read during morning assembly. How many books did she pack in a box?


When a number is divided by 6, the quotient is 117 with remainder 1. What is the number?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A pet shop owner had 640 fishes and birds. He had 184 fewer birds than fishes. How many birds did he have in his pet shop?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange the students from the shortest to the tallest.
Amy 1 m 9 cm, Ben 1 m 62 cm, Charlie 105 cm, Dora 170 cm

Convert to cm: Amy 109, Ben 162, Charlie 105, Dora 170. Shortest to tallest: Charlie, Amy, Ben, Dora.


What number does box A and box B represent?
2/A = 4/12 = B/36


Peter ran 2800 m around the neighbourhood. He took a short rest and ran another 250 m. How far did he run in total? Give your answer in kilometres and metres.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m


a) Arrange the following in order. Begin with the greatest.
3/8, 3/7, 3/11
<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="?" />
b) Arrange the following in order. Begin with the smallest.
4/8, 9/10, 2/11
<input type="text" id="input_3" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_4" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_5" class="fill-blank-input" placeholder="?" />

a) Same numerator: smaller denominator is greater, so 3/7 > 3/8 > 3/11. b) Values: 2/11 (~0.18), 4/8 (0.5), 9/10 (0.9), so smallest first = 2/11, 4/8, 9/10.


Aaron bought a cake and cut it into 9 equal slices. Sally took 2 slices while Peter took 6 slices.
(a) What fraction of the cake did Sally and Peter take altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) What fraction of the cake did Aaron have left? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


John bought 4 identical containers. Each container had a capacity of 600 mℓ. After pouring some water into the containers, he realised he would need another 450 mℓ of water to completely fill up all the containers. How much water did he have at first?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total capacity = 600 x 4 = 2400 mℓ. Water at first = 2400 - 450 = 1950 mℓ.


Write the following in numerals.
(a) Nine thousand, seven hundred and twelve <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) Four thousand, six hundred and four <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Nine thousand, seven hundred and twelve = 9712. Four thousand, six hundred and four = 4604 (zero tens).


I am a 4-digit even number formed with the digits 2, 4, 5 and 8.
I am a number between 2600 and 2900.
What number am I? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Between 2600 and 2900 means it starts with 2 then 8 (2800s). Using remaining digits 4 and 5, an even number ends in 4: 2854.


Look at the number pattern.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 4181, 4481, 4781, 5081, 5381
What is the missing number?

The pattern increases by 300 each time. 4181 - 300 = 3881.


Jane had 1352 marbles.
Siti had 1515 marbles more than Jane.
How many marbles did Jane and Siti have altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Jenny wants to buy lunch from a food court.
She plans to buy a meal that includes 1 main dish, 1 soup and 1 drink.
Menu — Main dish: Nasi lemak, Fried noodles. Soup: Chicken soup, Vegetable soup. Drink: Tea, Coffee.
How many different ways can Jenny buy her lunch? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

2 main dishes x 2 soups x 2 drinks = 8 ways.


There were 3390 people at the Singapore Zoo on Friday.
1900 of them were adults.
(a) How many children were there at the Singapore Zoo? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) There were 685 fewer people at the Singapore Zoo on Friday than Saturday. How many people were there on Saturday? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) 3390 - 1900 = 1490 children. (b) Friday had 685 fewer than Saturday, so Saturday = 3390 + 685 = 4075.


Find the quotient when 648 is divided by 4. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Celine baked 492 cupcakes.
She packed 5 cupcakes into each box.
What is the smallest number of boxes needed for all the cupcakes to be packed? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

492 / 5 = 98 remainder 2. The leftover 2 cupcakes need 1 more box, so 98 + 1 = 99 boxes.


Fandi has 236 blue marbles.
He has 9 times as many red marbles as blue marbles.
He gives 100 red marbles to his best friend.
How many red marbles does he have left? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mrs Tan had 230 pencils.
She gave each student 6 pencils and had 2 pencils left.
How many students did Mrs Tan give the pencils to? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

230 / 6 = 38 remainder 2. So 38 students each received 6 pencils, with 2 left over.


Write four thousand and twelve in numerals. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the sum of 8026 and 395. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Kaisor had 2364 stamps. Yani had 510 stamps. How many stamps did they have altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The difference between 2 numbers is 1700. The greater number is 5801. What is the smaller number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Smaller number = greater number - difference = 5801 - 1700 = 4101.


Using the digits 1, 8, 2 and 7, form the
(a) greatest 4-digit even number.
(b) smallest 4-digit odd number.
Use each digit once only. <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) Greatest even: end in an even digit, largest first: 8712. (b) Smallest odd: end in an odd digit, smallest first: 1287.


Dash and Luke had the same number of marbles at first. After Luke gave Dash 12 marbles, Dash had 47 marbles. How many marbles did Luke have in the end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Dash started with 47 - 12 = 35; both started equal at 35. Luke gave away 12, so Luke had 35 - 12 = 23 marbles.


A baker baked 594 chocolate doughnuts. He baked 128 more chocolate doughnuts than strawberry doughnuts.
(a) How many strawberry doughnuts did the baker bake?
(b) How many doughnuts did the baker bake altogether? <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 nine thousand, eight hundred and fifty in numerals?


Joselin bought a table for $72.15. She gave the cashier two $50 notes. How much change should she get?


Look at the following number pattern. What are the missing numbers?
928, 925, 920, 917, 912, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

The pattern decreases by 3, then 5, alternating: -3, -5, -3, -5... After 912: 912 - 3 = 909, then 909 - 5 = 904.


Find the sum of the values of the digits '5' in the numbers 5847 and 250. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

In 5847 the digit 5 has value 5000. In 250 the digit 5 has value 50. 5000 + 50 = 5050.


Write two numbers that will give a sum of 1142. <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="?" />

Any two numbers adding to 1142 are acceptable; the answer key uses 1000 and 142 (1000 + 142 = 1142).


Wayne formed some numbers from the digits 1, 9, 0, 8. Two of the numbers he formed were 1098 and 1908.
a) In 1098, the digit 9 is in the hundreds place. (true/false)
b) 1908 > 1098 (true/false)
c) The greatest possible 4-digit number he can form is 9108. (true/false) <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="?" />

a) In 1098 the digit 9 is in the tens place, so False. b) 1908 > 1098 is True. c) The greatest 4-digit number from 1,9,8,0 is 9810, not 9108, so False.


Serena bought a pencil box for $28.50. She bought a bag that cost $15.90 more. How much did she pay for the bag? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Thomas has 392 Book Bug cards. He has 67 fewer Book Bug cards than Sharyn. How many Book Bug cards does Sharyn have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Thomas has 67 fewer than Sharyn, so Sharyn has more: 392 + 67 = 459.


There were 8009 children and 9008 adults at a party.
a) Were there more children or adults at the party?
b) Find the difference between the number of children and adults at the party. <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="?" />

9008 (adults) > 8009 (children), so there were more adults. Difference = 9008 - 8009 = 999.


There are 312 paper clips in a bag. Cayden has 3 such bags. How many paper clips does he have in total?


Alice and Ben have 180 stamps altogether. Alice has 4 times as many stamps as Ben. How many stamps does Ben have?

Ben = 1 unit, Alice = 4 units, total = 5 units = 180. 1 unit = 180 ÷ 5 = 36. Ben has 36 stamps.


A number when divided by 9 has a quotient of 126 and a remainder of 8. What is the number?

Number = quotient × divisor + remainder = 126 × 9 + 8 = 1134 + 8 = 1142.


Fill in the blanks with 'more' or 'less'.
a) 5 x 8 is 8 ___ than 6 x 8.
b) 7 x 6 is 6 ___ than 6 x 6.


What is the missing digit in the box?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> 7 8
×       7
2 6 4 6

The 3-digit number × 7 = 2646, so the number is 2646 ÷ 7 = 378. The missing hundreds digit is 3.


Jerina donated $9. Gabriel donated 5 times as much money as Jerina. How much money did Gabriel donate? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The product of two numbers is 105. One of the numbers is 7. Find the other number. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Emma had 720 beads at first. She gave an equal number of beads to each of her 4 friends and had 24 beads left. How many beads did she give to each of her friends? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Beads given away = 720 - 24 = 696. Each friend got 696 ÷ 4 = 174.


There were 80 boys and 64 girls in the school hall making paper flowers.
a) How many children were there altogether in the hall?
b) Each child made 6 paper flowers. How many paper flowers did the children make in total? <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) 80 + 64 = 144 children. b) 144 × 6 = 864 paper flowers.


Paul bought 7 boxes of pins. There were 235 pins in each box.
a) How many pins did Paul buy altogether?
b) Paul opened one box of pins and gave 61 pins to his friends. Then, he repacked all the remaining pins in that box into 6 packets. How many pins were there in each packet? <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) 235 × 7 = 1645 pins. b) One box has 235 pins; after giving 61 away, 235 - 61 = 174 remain; 174 ÷ 6 = 29 pins per packet.


3/8 = 0.375 and 5/6 ≈ 0.833, so 3/8 < 5/6 is correct. The others are false.


Convert all to metres: 2540 m; 2 km 54 m = 2054 m; 2 km 504 m = 2504 m; 20 m 54 cm = 20.54 m. The longest is 2540 m.


Arrange the following fractions from the greatest to the smallest.
1/3, 4/7, 4/9, 8/9


A bottle holds 1 l of water. A cup holds 350 ml less water than the bottle. How much water can 3 such cups hold?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml


Write five thousand and twelve in numerals. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Five thousand and twelve = 5000 + 12 = 5012.


Find the sum of 855 and 6042. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the difference between 6345 and 9689. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the remainder when 874 is divided by 7. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange the following numbers from the largest to the smallest. 4533, 4346, 4789 <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 by place value: 4789 > 4533 > 4346.


A shopkeeper sold 616 apples and mangoes. He sold 288 mangoes. How many apples did the shopkeeper sell? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Miss Soon paid $948 for 6 similar dresses. How much did she pay for each dress? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Rope A is 908 cm long. It is 615 cm shorter than rope B. How long is rope B? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The sum of two numbers is 7674. The difference between the two numbers is 3272. Find the smaller number. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Jasmine saved $3463. She saved $445 more than Ally. How much money did they save altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mr Lim packed 216 oranges equally into boxes of 9. He sold 18 boxes of the oranges. How many boxes of oranges did he have left? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total boxes = 216 / 9 = 24. Boxes left = 24 - 18 = 6.


Sally prepared party bags for a party. She packed 8 stickers and 4 sweets in each bag. There was a total of 128 stickers. (a) How many party bags were there in total? (b) How many sweets were there altogether? <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="?" />


Tom has $34.55. His mother gives him $50 more. How much does Tom have now? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Fill in the boxes by comparing the fractions, 2/7 and 1/3. <


Complete the following equation by finding A. A/12 + 1/12 = 1 - 1/4 <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange these fractions from the greatest to the smallest. 3/5, 1/2, 7/10 <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="?" />


June paid $80 for a toaster. She paid $33.40 less for a dress than the toaster. How much did she pay for the two items altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The price of a toy car is $8. Jane bought as many toy cars as she could with $50. (a) How many toy cars did Jane buy? (b) How much money had she left? <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="?" />

50 / 8 = 6 remainder 2. (a) 6 toy cars. (b) $2 left.


There were 1789 students in a school. There were 985 boys. How many girls were there in the school? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Miss Lim packed 4 oranges in a bag each. She gave away 8 such bags and had 1 bag left. How many oranges does she have at first? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total bags = 8 + 1 = 9. Oranges = 9 x 4 = 36.


Mr Tan had 768 pencils. He packed 8 pencils into each box. How many boxes did Mr Tan use to pack all the pencils? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A box contained red and blue beads. There were 84 beads in the box. There were twice as many red beads as blue beads. How many blue beads were there? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Blue = 1 unit, red = 2 units, total = 3 units = 84. Blue = 84 / 3 = 28.


Pete and 3 boys bought 204 game cards altogether. They shared the game cards equally. How many cards did each boy get? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Pete and 3 boys = 4 boys. Each = 204 / 4 = 51.


Mr Lim paid $1600 for a computer. He paid $960 less for a printer. How much did he pay for both the computer and printer? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A shop had 5600 bags. The shopkeeper sold 1250 bags on Saturday. He sold more bags on Sunday. After that he had 440 bags left. How many bags were sold on Sunday? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Simon and Tim had the same number of books at first. Tim bought 85 books and Simon gave 120 books away. Simon had 60 books in the end. a) How many books did each boy have at first? b) How many more books did Tim have than Simon in the end? <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="?" />


There were 45 more girls than boys in the Art Club. 8 boys left the Art Club and 5 more girls join the Art Club. a) How many more girls were there in the Art Club than boys in the end? b) There were 640 students left in the Art Club. How many boys were there in the Art Club in the end? <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) New girl-boy difference = 45 + 8 + 5 = 58. (b) Boys + girls = 640 and girls = boys + 58, so 2 x boys + 58 = 640; boys = (640 - 58) / 2 = 291.


(a) Write 5 km 18 m in metres. (b) Write 4109 m in kilometres and metres. <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="?" />


Arrange the following fractions in order. Begin with the greatest fraction. 2/3, 2/5, 2/9 <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="?" />

With the same numerator, the smaller the denominator the larger the fraction. So 2/3 > 2/5 > 2/9.


The school assembly started at 8 a.m. It ended at 9.05 a.m. How long was the school assembly? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> h <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> mins

From 8 a.m. to 9 a.m. is 1 hour; from 9 a.m. to 9.05 a.m. is 5 minutes. Total 1 h 5 min.


The mass of a box of cookies is 710 g. It is 600 g lighter than a packet of flour. Find the mass of the packet of flour. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g


A jug has a capacity of 1020 ml. 740 ml of water was poured into the jug. How much more water is needed to fill the jug completely? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml


Find the value of \(\dfrac{9}{10}\) - \(\dfrac{2}{5}\) . Write the answer in its simplest form.


Mr Halim bought a 2-litre bottle of fruit juice. He poured some of the juice equally into 7 glasses and each glass was full. 1125 ml of fruit juice was left in the bottle. (a) How much fruit juice was poured out? (b) What is the capacity of each glass? <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="?" />


There were 468 children at a Funfair carnival. There were twice as many children as women. The number of men was 50 more than the number of women. (a) How many men were there at the carnival? (b) How many people were there at the carnival altogether? <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="?" />


Jon and May shared a box of marbles. There were 320 marbles in the box. Jon had 46 more marbles than May. How many marbles did May receive? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Remove Jon's extra 46: 320 - 46 = 274. Split equally: May = 274 / 2 = 137.


What is the missing numerator?
8/12 - 1/3 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />/6


Benson and Hong Wei shared some marbles equally. After Hong Wei gave 28 marbles to Benson, how many more marbles did Benson have than Hong Wei? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

They started equal. Hong Wei gives 28 away (his count drops by 28) and Benson gains 28, so the difference is 28 + 28 = 56.


Kelly and Melissa collect stamps. Together they collected 825 stamps. Melissa collected twice as many stamps as Kelly. How many more stamps did Melissa collect than Kelly? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

3 units = 825, so 1 unit (Kelly) = 275. Melissa = 550. Difference = 550 - 275 = 275.


Susan painted \(\dfrac{1}{3}\) of the wall green and \(\dfrac{1}{6}\) of the same wall yellow. What fraction of the wall was painted? Give your answer in its simplest form.


Mrs Lee bought 3 regular-sized pizzas topped with different ingredients. She cut the cheese pizza into 6 equal pieces, the chicken pizza into 8 equal pieces and the seafood pizza into 12 equal pieces. Jerry ate 2 pieces of Cheese pizza, Joel ate 3 pieces of Chicken pizza and Jane ate 4 pieces of the seafood pizza. Who ate the most pizza?

Jerry = 2/6 = 8/24, Joel = 3/8 = 9/24, Jane = 4/12 = 8/24. 9/24 is the largest, so Joel ate the most.


Which one of the following fractions is greater than 1/2?


Write seven thousand and forty-nine in numerals. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Study the number pattern below. What is the missing number in the box? 356, 1356, 1366, 2366, 2376, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 3386, 4386, 4396


Find the value of \(\dfrac{1}{12}\) + \(\dfrac{2}{3}\). Express your answer as a fraction in its simplest form.


Find the missing numerator and denominator in the boxes for (a) and (b). 4/11 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />/33 = 20/<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

4/11 = 12/33 (multiply top and bottom by 3). 4/11 = 20/55 (multiply top and bottom by 5). So (a) = 12, (b) = 55.


Jimmy went for a run in the park. His watch was 15 minutes slow. The run lasted 135 min. According to his watch, he stopped running at 8.05 p.m. What was the actual time he started his run? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> p.m.

Watch is 15 min slow, so actual stop time = 8.05 p.m. + 15 min = 8.20 p.m. Run lasted 135 min (2 h 15 min), so start = 8.20 p.m. − 2 h 15 min = 6.05 p.m.


The difference between two numbers is 1406. The greater number is 2034. What is the sum of the two numbers? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Xin Li had 11 m of string. She cut the string into 9 equal pieces with 263 cm left. What was the length of each piece of string? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

11 m = 1100 cm. 1100 − 263 = 837 cm used for the pieces. 837 ÷ 9 = 93 cm each.


153 story books were shared among Alvin, Bala and Caleb. Alvin received twice as many story books as Bala. Caleb received fewer story books than Bala. For each statement, state True, False or Not possible to tell. (a) Alvin has more story books than Caleb. (b) Caleb received only 9 story books. <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) Alvin = 2 × Bala and Caleb < Bala < Alvin, so Alvin definitely has more than Caleb — True. (b) Alvin + Bala = 3 parts of Bala; with Caleb fewer than Bala there are several possible values for Caleb, so the exact number cannot be determined — Not possible to tell.


Anne paid $720 for a pair of shoes and a belt. The pair of shoes cost 4 times as much as the belt. She also bought a shirt which cost $45 more than the belt. How much did the shirt cost? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Pete had 1037 marbles. Ken had 1527 marbles. Pete then bought some more marbles. Ken had 285 fewer marbles than Pete in the end. How many marbles did Pete buy? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

In the end Pete had 285 more than Ken: 1527 + 285 = 1812 marbles. Pete bought 1812 − 1037 = 775 marbles.


Like fractions: add numerators, keep denominator. 5/7 + 1/7 = 6/7.


Sally wants to pack 40 oranges into bags. Each bag can hold at most 6 oranges. What is the least number of bags Sally needs?

40 / 6 = 6 R 4. The 4 leftover oranges need another bag, so 7 bags.


Write eight thousand, three hundred and nine in numerals. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

8 thousands, 3 hundreds, 0 tens, 9 ones = 8309.


(a) Find the sum of 376 and 825
(b) Find the difference between 781 and 1000 <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="?" />


There are 936 apples in a box. There are 6 times as many apples as pears. How many apples and pears are there altogether in the box? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


(a) Find the product of 750 and 8
(b) Find the quotient and remainder when 649 / 9 <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 piece of metal wire was bent into the shape of a square. Each side of the square was 9 cm. The same piece of wire was then bent into the shape of a rectangle. The length of the rectangle was 12 cm. What was the breadth of the rectangle? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Square perimeter = 9 x 4 = 36 cm. Rectangle: 36 - 2 x 12 = 12; breadth = 12 / 2 = 6 cm.


Anand spent 2 h 30 min on his project. He stopped working on his project at 10 20 as shown on his watch. His watch was 15 min slow. What was the correct time he started working on his project? Give your answer in the 24-hour clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Watch is 15 min slow, so correct stop time = 10 20 + 15 min = 10 35. Start = 10 35 - 2 h 30 min = 08 05.


At the bookshop, erasers were sold for 55 cents each. Nora had 3 two-dollar notes in her wallet. How much money would Nora have left after buying 10 such erasers? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The table shows the number of paper stars Jenny made each day. On the first day, she made 10 paper stars. Each day, she makes twice as many paper stars as she did on the previous day. On which day would she make 320 paper stars?
Day 1: 10, Day 2: 20, Day 3: 40 <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Randy has 1289 blue and yellow pencils. 475 pencils are blue and the rest are yellow.
(a) How many yellow pencils does Randy have?
(b) Randy buys another 1256 blue pencils. How many blue pencils does he have in total? <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="?" />


Mrs Tan had some blueberries. She packed them equally into 9 boxes and found that she had 600 g of blueberries left. Each box had 720 g of blueberries. What was the mass of blueberries Mrs Tan had at first? Give your answer in kilograms and grams. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


At first, Vanessa had 758 cards, while Gary had 1548 cards. Vanessa then bought some more cards. In the end, Gary had 125 fewer cards than Vanessa. How many cards did Vanessa buy? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Gary has 1548. Vanessa ends with 125 more than Gary: 1548 + 125 = 1673. She bought 1673 - 758 = 915 cards.


Gina had 698 more beads than Liz. She gave 225 beads to Liz. How many more beads does Gina have than Liz in the end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Giving 225 beads narrows the gap by twice that amount (Gina loses 225, Liz gains 225): 698 - 225 - 225 = 248.


Which of the following is not an equivalent fraction of 2/3?

2/3 = 4/6 = 6/9 = 8/12. 4/9 is not equal to 2/3, so it is the odd one out.


Amy had 67 fewer coins than Dawn at first. Dawn gave 14 coins to Amy. How many fewer coins did Amy have than Dawn in the end?

Giving 14 coins from Dawn to Amy reduces the gap by 2 x 14 = 28. 67 - 28 = 39.


Complete the number pattern.
743, 748, 758, 763, 773, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 788, 793


Kelly had 18 boxes of donuts. Each box contained 6 donuts each. How many donuts did Kelly have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


74 students are going for an excursion to Sentosa. Each van can ferry 9 students. Find the least number of vans that are needed to ferry all the students for the excursion. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

74 / 9 = 8 remainder 2. The leftover 2 students still need a van, so 8 + 1 = 9 vans.


Mrs Lee reached the movie theatre at 1.25 p.m. She reached 10 minutes before the movie started. The movie lasted for 1 h 15 min. What time did the movie end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Movie started at 1.25 + 10 min = 1.35 p.m. It ended at 1.35 + 1 h 15 min = 2.50 p.m.


Mr Lim bought a pair of headphones for $62.60. He bought a watch that cost $17.50 less. How much did he pay in total? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Ali and Wanting had 180 marbles altogether. Ali had 4 times as many marbles as Wanting. How many marbles did Ali have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total of 5 units = 180, so 1 unit = 180 / 5 = 36. Ali has 4 units = 4 x 36 = 144.


14 flagpoles are placed at equal distance apart along a straight road. The distance between the 1st flagpole and the 2nd flagpole is 6 m.
a) How many gaps are there between the 1st and the 14th flagpole?
b) What is the total distance between the 1st and the 14th flagpole?
a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

a) Gaps between 1st and 14th = 14 - 1 = 13. b) Total distance = 13 x 6 = 78 m.


4 T-shirts and 5 pairs of shorts cost $116. A T-shirt and a pair of shorts cost $27. How much does a pair of shorts cost? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

4 T-shirts + 4 pairs of shorts = 4 x $27 = $108. The extra 1 pair of shorts = $116 - $108 = $8.


Amir, Brenda and Chloe baked some cupcakes for a charity event. Amir baked 985 cupcakes. Brenda baked 487 cupcakes fewer than Amir. Chloe baked 98 cupcakes more than Brenda.
a) How many cupcakes did Chloe bake?
b) Among the cupcakes Amir baked, 468 were strawberry cupcakes and the rest were blueberry cupcakes. He sold 274 blueberry cupcakes. How many blueberry cupcakes were left?
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 arranged from the greatest to the smallest?

From greatest to smallest: 653, 635, 563, 536. Each number is smaller than the one before it.


3415, 3625, 3835, , 4255, 4465
What is the missing number in the pattern?

The pattern increases by 210 each time. 3835 + 210 = 4045.


12/18 = 8/ What is the missing number in the box?

12/18 simplifies to 2/3. To get a numerator of 8, multiply 2/3 by 4/4 to get 8/12, so the missing number is 12.


Melissa finished cleaning her room at 12 00. She spent 1 hour 50 minutes cleaning without taking any break. What time did she start cleaning?

Subtract 1 hour 50 minutes from 12 00. 12 00 minus 1 hour = 11 00; minus 50 minutes = 10 10.


Arrange the fractions in order, beginning with the greatest.
2/5 , 2/3 , 7/12
<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="?" />


Mrs Tan paid for her meal with a $50-note and got $14.30 change. How much did her meal cost?
Ans: $ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Chee Meng has 7 cups. He pours 86 g of sugar into each cup. What is the total mass of sugar Chee Meng pours into all the cups?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g


A minibus can take at most 8 passengers. What is the least number of minibuses needed to take 158 passengers?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

158 divided by 8 = 19 remainder 6. The remaining 6 passengers still need a minibus, so 19 + 1 = 20 minibuses.


Box A is 2550 g lighter than Box B. Box B is 3400 g heavier than Box C. Box C weighs 2 kg 180 g.
(a) What is the mass of Box B?
(b) What is the mass of Box A? Give your answer in kilograms and grams.
Ans: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Ali sold 570 apples. He sold 5 times as many apples as oranges. He sold 38 fewer oranges than pears.
(a) How many oranges did Ali sell?
(b) How many pears did Ali sell?
Ans: (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) Oranges = 570 divided by 5 = 114. (b) Pears = 114 + 38 = 152 (oranges are 38 fewer than pears).


Jerry keeps his picture cards in 4 boxes. Each box holds 118 cards except for the last box. The last box has only 79 cards. How many picture cards does Jerry have altogether?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Three full boxes: 118 x 3 = 354. Add the last box: 354 + 79 = 433.


In an auditorium, 159 people were seated to watch a performance at first. After the first performance, 27 of them left their seats. Then, 4 times as many people as those who left their seats came in to occupy the remaining seats. How many seats are there in the auditorium?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Remaining after 27 left: 159 - 27 = 132 seated. People who came in: 27 x 4 = 108. Total seats = 132 + 108 = 240.


What is the missing number in the number pattern? 2076, 2086, 2096, , 2116, 2126

The pattern increases by 10 each time. 2096 + 10 = 2106.


Randal has 114 pies. He wants to pack 9 pies into each box. What is the least number of boxes Randal needs to pack all the pies?

114 / 9 = 12 remainder 6. The leftover 6 pies need one more box, so 12 + 1 = 13 boxes.


Mrs Ling took 35 min to walk from her house to the swimming pool. She arrived at the swimming pool at 3:45 pm. What time did Mrs Ling leave her house?

Working backwards from 3:45 pm by 35 minutes: 3:45 - 35 min = 3:10 pm.


Alex and Faye had some files each. Alex had 34 files. After Faye had given away 40 files, she had 18 files fewer than Alex. What was the number of files Faye had at first?

After giving away 40, Faye had 34 - 18 = 16 files. So at first she had 16 + 40 = 56 files.


(a) Write eight thousand, three hundred and fifty-six in numerals. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) Using all four digits 1, 8, 3, 2, form the greatest 4-digit even number. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Eight thousand, three hundred and fifty-six = 8356. (b) For the greatest even number from 1,8,3,2, the last digit must be even; using 2 as the units gives 8312.


Doreen started her art lesson at 12 30. Her art lesson lasted for 1 h 15 min. What time did her art lesson end? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A fan costs $23.10. A toy car costs $10.80 less than the fan. How much does the toy car cost? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


At a carnival, there were 1527 boys and 2315 girls. How many children were there altogether at the carnival? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


458 x A = 1B32. What do the digits A and B represent? A = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, B = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

458 x 4 = 1832, which matches the form 1B32 with B = 8. So A = 4 and B = 8.


Ronald spent $12.75 on Monday and $4.65 on Tuesday. He had $36.70 left in his wallet at the end of Tuesday. How much money did Ronald have at first on Monday? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Larry and Megan shared a piece of ribbon. Larry used \(\dfrac{1}{4}\) of the ribbon. Megan used \(\dfrac{5}{12}\) of the same ribbon. What fraction of the piece of ribbon did they use altogether? Express your answer in its simplest form.


Avery, Betty and Caylee made some cookies. Betty made 521 cookies. Avery made 380 more cookies than Betty. Caylee made 671 fewer cookies than Avery. (a) How many cookies did Avery make? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) How many cookies did Caylee make? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


There are a total of 815 tables in Hall X, Hall Y and Hall Z. There are 7 fewer tables in Hall X than Hall Y. There are 4 times as many tables in Hall Z than Hall Y. How many tables are there in Hall Y? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Let Hall Y = 1 unit. X = 1 unit - 7, Z = 4 units. Total = 6 units - 7 = 815, so 6 units = 822, Hall Y = 822 / 6 = 137.


Mrs Chan poured some soup from a pot into 8 similar bowls. Each bowl had a capacity of 260 ml. She had 1 l 70 ml of soup left in the pot. How much soup did Mrs Chan have in the pot at first? Give your answer in litres and millilitres. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


What is three thousand, six hundred and six written as a numeral?


What is the missing number in the equation below?
7023 = 7000 + + 3

7023 = 7000 + 20 + 3. The missing number is 20 (the tens place).


Arrange the fractions in order from the greatest to the smallest.
1/2 , 2/8 , 5/7

5/7 is more than half; 1/2 = 0.5; 2/8 = 1/4 is less than half. Greatest to smallest: 5/7, 1/2, 2/8.


The length of a rectangular grass patch is 8 m. Its breadth is 7 m. What is the area of the grass patch? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Area of rectangle = length x breadth = 8 x 7 = 56 m².


Write the time 00 10 in 12-hour clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

00 10 (24-hour) is 10 minutes after midnight, which is 12:10 am in 12-hour clock.


Axel started to cycle at 11 30. He finished cycling at 13 17. How long did he cycle?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> h <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> min

From 11 30 to 13 00 is 1 h 30 min; from 13 00 to 13 17 is 17 min. Total = 1 h 30 min + 17 min = 1 h 47 min.


Look at the number patterns. Find the missing number in each number pattern.
(a) 3699 , 3709 , 3809 , 3819 , 3919 , 3929 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , 4039 , 4139
(b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , 7489 , 7539 , 7589 , 7639 , 7689


(a) Find the sum of 560 and 1320.
(b) 8001 - <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = 2417


(a) Michelle bought 5 trays of eggs. Each tray had 8 eggs. How many eggs did Michelle buy altogether?
(b) Michelle used 4 eggs to bake each cake. How many cakes could she bake with all the eggs that she bought? <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 wallet costs $56.90. A water bottle costs $12.50 less than the wallet. How much does the water bottle cost? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Li Meng started doing her homework at 14 30. She took 1 h to write an English composition. She then took another 1 h 35 min to solve some word problems. What time did she complete her homework? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


There were some students in the library at first. 18 students left the library. 13 students then went into the library. In the end, there were 312 students left in the library. How many students were there in the library at first? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Work backwards: 312 - 13 = 299 (before the 13 entered); 299 + 18 = 317 (before the 18 left). So 317 students at first.


Joey has 76 sweets. She packs all the sweets into bags of 3 sweets or bags of 5 sweets. She has 20 bags of sweets after packing. How many bags of 3 sweets are there? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Suppose all 20 bags held 5 sweets: 20 x 5 = 100. That is 100 - 76 = 24 too many. Each bag of 3 instead of 5 reduces the count by 2, so 24 ÷ 2 = 12 bags of 3 sweets.


Ali had 128 more stickers than Bala at first. Ali gave 25 stickers to Bala. How many more stickers did Ali have than Bala in the end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Giving 25 to Bala reduces the gap by 25 twice (Ali loses 25, Bala gains 25), i.e. 25 + 25 = 50. New difference = 128 - 50 = 78.


There was a total of 756 visitors at the zoo. There were 3 times as many children as adults. How many more children than adults were there? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Children + adults = 4 units = 756, so 1 unit (adults) = 756 ÷ 4 = 189. Children = 3 units = 567. Difference = 567 - 189 = 378 (or 2 units = 189 x 2 = 378).


A total of 382 packets of biscuits were collected for a donation drive on Saturday and Sunday. These biscuits collected were given to families. Each family was given 6 packets of biscuits.
(a) What was the greatest number of families that received the biscuits?
(b) 22 more packets of biscuits were collected on Sunday than on Saturday. How many packets of biscuits were collected on Saturday? <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) 382 ÷ 6 = 63 remainder 4, so the greatest number of families is 63. (b) 382 - 22 = 360; 360 ÷ 2 = 180 packets on Saturday.


A pail contains 5320 ml of water. Meera poured away 4470 ml of water from the pail.
(a) How much water was left in the pail?
(b) Meera poured all the water left in the pail equally into 5 identical empty jugs. How much water did she pour into each jug? <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="?" />


In 3780, reading from the right: 0 ones, 8 tens, 7 hundreds, 3 thousands. So the digit 7 is in the hundreds place.


Noah is 28 kg. Jeremy is 3 kg lighter than Noah. What is their total mass?


Zan had some stickers at first. He gave 138 stickers to each of his 6 friends. He had 3 stickers left. How many stickers did Zan have at first?

He gave away 138 x 6 = 828 stickers. With 3 left over, he had 828 + 3 = 831 stickers at first.


There are two numbers. The difference between these two numbers is 786. The greater number is 932. Find the sum of these two numbers. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


There are 17 red apples and 20 green apples in a box. How many apples are there in 7 similar boxes? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Both Vic and Dan were at the kitchen. (a) Vic took 1 h 50 min to bake a pizza. He started baking at 08 10. What time did he finish baking the pizza? Ans: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) Dan took 30 minutes more than Vic to bake a cake. How much time did Dan take to bake the cake? Ans: (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) Dan finished baking the cake at 11 30. What time did he start baking the cake? Leave your answer in 24-hour clock. Ans: (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />


There were 8009 visitors at the Zoo. 4050 of the visitors were children. How many adults were there?


Peter had 58 apples. He packed them into boxes of 7. How many apples were left unpacked?

58 ÷ 7 = 8 remainder 2, so 2 apples are left unpacked.


Mrs Lee left her house at 11.50 a.m. for her baking class. She took 1 h 40 min to travel from her house to her baking class. She arrived 15 minutes before her class started. What time did her baking class start?

11.50 a.m. + 1 h 40 min = 1.30 p.m. arrival; class starts 15 min later = 1.45 p.m.


Gopal bought a shirt for $45.50 and a belt for $34.90. He gave the cashier $100. How much change would Gopal get?


Madam Siti bought a pizza. Her daughter ate 3/8 of the pizza and her son ate 1/4 of the pizza less than her daughter. What fraction of the pizza was eaten?


960 people turned up for a school carnival on Saturday. There were 4 times as many people who turned up on Sunday than on Saturday. How many people turned up on both days?


A fruit seller had equal number of rambutans and mangosteens. After selling 810 mangosteens, he had 3 times as many rambutans as mangosteens left. How many rambutans did he have?

Let start = R each. After selling, rambutans = R, mangosteens = R - 810, and R = 3(R - 810) → R = 3R - 2430 → 2R = 2430 → R = 1215.


Find the quotient of 537 ÷ 8. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

537 ÷ 8 = 67 remainder 1; the quotient is 67. Answer key states 61.


Mrs Lim had 1248 g of flour. She used 300 g to bake a cake and packed the remaining flour equally into 6 packets. How much flour was there in each packet? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g


The sum of two numbers is 1750. The value of the smaller number is 795. What is the value of the greater number? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Ms Chong bought a piece of cloth which was 5 m long. She used some of it to sew 5 similar towels. There was 185 cm of cloth left. What was the length of cloth used for each towel? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm


Fadilah needed 45 min to travel from her house to the cinema. When she arrived at the cinema, the time shown on her watch was 12.20 p.m. Her watch was 10 minutes faster. What was the actual time she left her house? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> a.m.

Watch 10 min fast, so actual arrival = 12.10 p.m. Subtract 45 min travel = 11.25 a.m.


Ann had 905 stamps and Bala had 299 stamps. Ann had 230 more stamps than Colin. How many more stamps did Colin have than Bala? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mrs Lim baked 340 chocolate pies. She packed them equally into boxes of 9. What was the least number of boxes needed by Mrs Lim if she wanted to pack all the chocolate pies into boxes? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

340 ÷ 9 = 37 remainder 7; one more box is needed for the remaining 7, so 38 boxes.


Mary had 29 coins. She had 15 one-dollar coins and the rest were fifty-cents and ten-cents coins. She had $20.80 altogether. How many fifty-cents coins did Mary have? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Siti had a total of 890 local and foreign stamps. She gave away 130 local stamps and collected another 280 foreign stamps. In the end, she had the same number of local and foreign stamps.
(a) How many more local than foreign stamps did Siti have at first?
(b) How many foreign stamps did Siti have at first?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Complete the number pattern. 4852 , 4952 , , 5152


The difference between two numbers is 158. The greater number is 419. What is the smaller number?

Smaller number = greater number - difference = 419 - 158 = 261.


Joel saved $2461. He saved $339 less than Raju. How much money did Raju save?

Joel saved $339 less than Raju, so Raju = 2461 + 339 = $2800.


Find the difference between 651 and 7040. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Xiao Ling had a ribbon 4 m long. She cut the ribbon and gave away two pieces of ribbons each 75 cm long. What was the length of the remaining ribbon? Express your answer in m and cm. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm


Samy left his school at 2.45 p.m. He needed 42 minutes to travel from his school to his home. What time did he reach home? Express your answer in 24-hour clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

2.45 p.m. + 42 min = 3.27 p.m. In 24-hour clock that is 1527.


Siti and Mary scored the same number of points in a game at first. Then, Siti won 256 more points and Mary lost 16 points. How many more points did Siti have than Mary in the end? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Starting equal, Siti gained 256 and Mary lost 16, so the gap = 256 + 16 = 272 points.


Mei Ling, Sarah and Diya had 270 beads. Mei Ling had 3 times as many beads as Sarah. Diya had twice as many beads as Sarah. How many beads did Diya have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Sarah = 1 unit, Mei Ling = 3 units, Diya = 2 units; total = 6 units = 270, so 1 unit = 45. Diya = 2 x 45 = 90.


Arrange the fractions 1/2 , 5/9 , 2/3 in order. Begin with the greatest fraction. <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="?" />


Uncle Tom bought some books. He packed 8 books in each box and found that he had 6 books left. There were 240 boxes altogether. a) How many books did he buy? b) He sold each box of books for $9 and the remaining books at $2 each. How much did he receive altogether? Ans: a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> b) $ <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Aminah had some beads. She used 209 beads to make a necklace. Her mother bought her another 350 beads. She had 632 beads in the end. How many beads did Aminah have at first? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Work backwards: before getting 350 she had 632 - 350 = 282; before using 209 she had 282 + 209 = 491 beads.


In 8047, what is the value of the digit 0?

The answer key marks option (2). Note: the digit 0 sits in the hundreds place of 8047, so its place value is 0 (option 1) — the key appears inconsistent here, but per the official key the marked answer is option (2).


Sally had 40 pencils. Rebekah had 3 times as many pencils as Sally. How many pencils did both of them have?


A file cost $16.75. A t-shirt cost $67.50 more than the file. How much did the t-shirt cost?


Find the difference between 3/4 and 7/12.


2583 more than a number is 6479. What is 100 more than that number?


A bus left a bus interchange with 47 people onboard. When it reached the first bus stop, 12 people boarded the bus and some people alighted the bus. There were 23 people on the bus when it left the first bus stop. How many people alighted the bus at the first bus stop?

47 + 12 = 59 on board before alighting. 59 - 23 = 36 alighted.


Fatin spent $13.60 on a file. She also bought a toy robot which cost $47.90 more than the file. How much did she spend on both items?


Aunt Amanda had 7 kg of flour at first. After using 6450 g of flour to bake a cake, she packed the remaining flour equally into 5 packets. What was the mass of flour in each packet?


Arrange the numbers in decreasing order. 3090, 3900, 930, 9003 <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="?" />

Decreasing (greatest to smallest): 9003, 3900, 3090, 930.


Write the missing number in the number pattern. 480 , 581 , 682 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , 884 , 985

The pattern increases by 101 each time. 682 + 101 = 783.


Aiman had 2389 toy airplanes and 1762 toy cars at first. He gave away 325 toy cars. What was the total number of toy airplanes and cars left in the end? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A bookshop had 9 boxes of pencils. Each box contained 6 pencils. The bookshop seller bought another 2 pencils and repacked all the pencils equally into 8 packets. How many pencils were packed into each packet? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Mr Ling prepared some gift packs for Children's Day. There were 8 bars of chocolate and 5 sweets in each gift pack. There was a total of 195 sweets in all the gift packs. How many bars of chocolate were there altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Number of gift packs = 195 / 5 = 39. Chocolate bars = 39 x 8 = 312.


Anusha wanted to buy a doll that cost $94.75. She had $36.50 in savings and her mother gave her $20. How much more money did she need to buy the doll? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Arrange the fractions from the smallest to the greatest. 7/11, 1/3, 1/10 <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="?" />


Ming En had $289.60 at first. After spending $45 on a meal and receiving some money from his mother, he had $300.60. How much money did he receive from his mother? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


There were 129 fewer students in the canteen than in the hall at first. 329 students moved from the hall to the canteen. How many more students were there in the canteen than in the hall in the end? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Start gap: hall is 129 more than canteen. Moving 329 from hall to canteen changes the gap by 2 x 329 = 658 in the canteen's favour: -129 + 658 = 529. So canteen has 529 more.


Rei has 183 stickers. Ali has 129 stickers. How many stickers does Ali have to give to Rei so that Rei has two times the number of stickers that Ali has in the end? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total = 183 + 129 = 312. For Rei to be twice Ali, Ali ends with 312 / 3 = 104. Rei ends with 208. Ali must give 129 - 104 = 25 stickers (check: 183 + 25 = 208 = 2 x 104).


What is four thousand, one hundred and sixty-two in numbers?


Mdm Sari left her house at 06 55. She took 1 h 15 min to reach her office. What time did Mdm Sari reach her office?


Paul bought 3 packets of sweets. James bought twice as many packets of sweets as Paul. There were 27 sweets in each packet. How many sweets did James buy?

James bought 3 x 2 = 6 packets. 6 x 27 = 162 sweets.


Lando bought a toy. He gave the cashier $10 and received a change of $3.75. How much did the toy cost? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A pencil case costs $8. A book costs $13 more than the pencil case. Caesar bought 2 such books and one such pencil case. How much money did Caesar spend altogether? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


A soccer match started at 23 30 and ended at 01 08 the next day. What was the duration of the soccer match? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> h <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> min


There are 24 cars and motorcycles altogether. There is a total number of 76 wheels. Each car has 4 wheels and each motorcycle has 2 wheels. How many cars are there? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

If all 24 were motorcycles: 24 x 2 = 48 wheels. Extra wheels = 76 - 48 = 28. Each car adds 2 extra wheels, so cars = 28 / 2 = 14.


Mr Hoh had 972 satay sticks. He packed the satay sticks equally into 9 containers. How many satay sticks were there in 7 such containers? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

972 / 9 = 108 sticks per container. 108 x 7 = 756.


Lionel wanted to run 1 km 50 m. He completed 2 rounds on a running track. Each round is 400 m. How much further did he have to run? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


Ryan had some marbles. Ben had four times as many marbles as Ryan. Doris had 36 marbles more than Ben. The three children had 270 marbles altogether.
(a) How many marbles did Ryan have? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) Ryan and Ben decided to share their marbles equally. How many marbles did Ben give Ryan? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Children = 1 unit, adults = 4 units, total = 5 units = 420. 1 unit = 420 / 5 = 84 children.


Total = 4 m = 400 cm. The extra 1 m 20 cm = 120 cm. Removing the extra: 400 - 120 = 280 cm for two equal parts. Red ribbon = 280 / 2 = 140 cm.


260 / 6 = 43 remainder 2. The 2 leftover pencils still need a bag, so 43 + 1 = 44 bags.


(a) Alfred lost 12 and Bala gained 12, so the difference between them is 12 + 12 = 24 marbles. (b) Alfred had 65 at the end; at first both had 65 + 12 = 77. Bala in the end = 77 + 12 = 89.


148 / 6 = 24 remainder 4. So 4 pencils were left unpacked.


Coins are 20c and 50c. $2.70 = 1 twenty-cent + 5 fifty-cent (20c + 250c = 270c). $3.00 needs more than she has (max = 60c + 250c = 310c, but cannot make exactly 300c with these coins), $0.80 and $1.80 cannot be formed exactly; $2.70 is achievable.


After receiving 18, Max had 44, so Max had 44 - 18 = 26 at first. James had 3 x 26 = 78 at first.


In 2856 the digit 8 is in the hundreds place (value 800). In 6825 the digit 8 is in the hundreds place (value 800). The digit 8 has the same value in both.


From 6:20 a.m. to 7:15 a.m. is 55 minutes (6:20 to 7:20 is 60 min, minus 5 min = 55 min).


Total stays 135. After transfer: 5 units = 135, 1 unit = 27 (Angel after giving). Angel originally = 27 + 16 = 43.


Mrs Tan now = 5 x 9 = 45 years old. In 10 years: 45 + 10 = 55 years old.


The gap must shrink from 40 to 8, a reduction of 32. Each marble Ethan gives reduces the gap by 2, so he gives 32 / 2 = 16 marbles.


Simon at first = 120 + 88 = 208. Mark had 50 fewer than Simon at first: 208 - 50 = 158.


4 l = 4000 ml. When 860 ml more is needed, tank holds 4000 - 860 = 3140 ml. Water poured in = 3140 - 1850 = 1290 ml = 1 l 290 ml.


(a) 09 00 to 18 00 = 9 hours per day. (b) Per week: 9 x 6 = 54 hours; in 4 weeks: 54 x 4 = 216 hours.


Ryan = 1 unit, Ivan = 2 units, Thaddeus = 2 units + 56. Total = 5 units + 56 = 381, so 5 units = 325, 1 unit = 65. (a) Thaddeus = 2 x 65 + 56 = 186. (b) Ryan = 65 + 100 = 165.


15 minutes to seven = 6.45 p.m. From 6.45 to 7.25 is 40 minutes.


Each term decreases by 240. 4210 - 240 = 3970.


Lynn = 5 x 58 = 290. Total = 290 + 58 = 348. Each should have 348 / 2 = 174. Lynn must give 290 - 174 = 116 stickers.


10/12 = 5/6 = 15/18. Multiply numerator and denominator by the same factor: 6 x 3 = 18, 5 x 3 = 15.


If all 17 were $2 notes, value = $34. Extra needed = $49 - $34 = $15. Each $5 note adds $3 over a $2 note, so $15 / $3 = 5 five-dollar notes.


Remove the extra 30: 180 - 30 = 150. Each share = 150 / 2 = 75. Jill has 75 cookies.


Remove Pravin's extra 34: 442 - 34 = 408. This equals 6 units of Hadi (Hadi 1 + Larry 4 + Pravin 1). 408 / 6 = 68 stamps for Hadi.


An even number ends in an even digit. To be smallest, put smallest digits first: 2, 3, then last digit must be even. Remaining digits 7 and 6; smallest hundreds is 3, so 23_6 -> 2376 (ends in even 6).


Convert to a common comparison: 1/3 = 0.333, 4/9 = 0.444, 3/6 = 0.5. Smallest to biggest: 1/3, 4/9, 3/6.


From 1st to 4th stick there are 3 gaps = 24 cm, so each gap = 8 cm. From 1st to last = 56 cm = 56 / 8 = 7 gaps, so number of sticks = 7 + 1 = 8.


Highlighter + stapler = $12 - $5.30 = $6.70, which is more than the file's $5.30. So the statement that their total was less than the file is False.


Dining-room clock showed 19 20 at the end; it was 10 min slow, so actual end time = 19 30. The dinner lasted 1 h 30 min, so actual start = 19 30 - 1 h 30 min = 18 00.


1/4 of 12 = 3 pieces to niece; 4 pieces to neighbour; given away = 7 pieces. Left = 12 - 7 = 5 pieces = 5/12 (already simplest).


Let Eileen = 1 unit, Annie = 3 units, Linda = 3 units - 75. Total = 1u + 3u + 3u - 75 = 7u - 75 = 919, so 7u = 994, u = 142. Eileen made 142.


9 thousands = 9000, 7 tens = 70. Total = 9070.


Nine thousand = 9000, six hundred = 600, six = 6. Total = 9606.


The pattern increases by 150 each time. 2949 + 150 = 3099.


A number with remainder 6 when divided by 9 fits 9k + 6. Testing: 54 = 9x6 r0; 66 = 9x7 r3; 72 = 9x8 r0; 78 = 9x8 + 6, remainder 6. So 78 is the possible number.


Mary = 1 unit, Sandra = 3 units, total 4 units = 288. 1 unit = 288 div 4 = 72.


259 div 5 = 51 remainder 4. So 4 eggs were left unpacked.


Convert to grams: 17 kg = 17000 g; 807 g; 8700 g; 1 kg 70 g = 1070 g. Largest is 17 kg.


Sweets in packets = 8 × 6 = 48. Add the leftover: 48 + 4 = 52.


In 5293, reading from the right: 3 ones, 9 tens, 2 hundreds, 5 thousands. So 9 is in the tens place.


After giving away 20, Ali had 230 - 20 = 210 stickers. Lena had 34 fewer than Ali: 210 - 34 = 176 stickers.


8 x 3 = 24, so multiply the numerator by 3: 3 x 3 = 9. So 3/8 = 9/24.


Total cookies = 72 x 9 = 648. After eating 15: 648 - 15 = 633.


Compare by place value: 4227 < 4727 < 4772. Increasing order: 4227, 4727, 4772.


The pattern decreases by 100 each time. 4027 - 100 = 3927.


The pattern alternates +1 then +100. After 6474 the next step is +1, giving 6475.


Between 5000 and 8000 the thousands digit must be 6. To be even and greatest, the ones digit must be 8, then the remaining digits 3 and 1 go in descending order: 6318.


Eileen = 1 unit, Dawn = 3 units, total = 4 units = 188. 1 unit = 188 ÷ 4 = 47, so Eileen has 47 stamps.


102 ÷ 8 = 12 r 6. The 6 leftover cupcakes need 1 more box, so 12 + 1 = 13 boxes.


She needed 100 + 17 = 117 balloons. Pupils = 117 ÷ 3 = 39.


Using ninths: 2/3 = 6/9 and 8/9. A fraction between them is 7/9. Answer key: 7/9.


The pattern increases by 35 each time. 4170 + 35 = 4205.


Convert to cm: Amy 109, Ben 162, Charlie 105, Dora 170. Shortest to tallest: Charlie, Amy, Ben, Dora.


a) Same numerator: smaller denominator is greater, so 3/7 > 3/8 > 3/11. b) Values: 2/11 (~0.18), 4/8 (0.5), 9/10 (0.9), so smallest first = 2/11, 4/8, 9/10.


Total capacity = 600 x 4 = 2400 mℓ. Water at first = 2400 - 450 = 1950 mℓ.


Nine thousand, seven hundred and twelve = 9712. Four thousand, six hundred and four = 4604 (zero tens).


Between 2600 and 2900 means it starts with 2 then 8 (2800s). Using remaining digits 4 and 5, an even number ends in 4: 2854.


The pattern increases by 300 each time. 4181 - 300 = 3881.


(a) 3390 - 1900 = 1490 children. (b) Friday had 685 fewer than Saturday, so Saturday = 3390 + 685 = 4075.


492 / 5 = 98 remainder 2. The leftover 2 cupcakes need 1 more box, so 98 + 1 = 99 boxes.


230 / 6 = 38 remainder 2. So 38 students each received 6 pencils, with 2 left over.


(a) Greatest even: end in an even digit, largest first: 8712. (b) Smallest odd: end in an odd digit, smallest first: 1287.


Dash started with 47 - 12 = 35; both started equal at 35. Luke gave away 12, so Luke had 35 - 12 = 23 marbles.


The pattern decreases by 3, then 5, alternating: -3, -5, -3, -5... After 912: 912 - 3 = 909, then 909 - 5 = 904.


In 5847 the digit 5 has value 5000. In 250 the digit 5 has value 50. 5000 + 50 = 5050.


a) In 1098 the digit 9 is in the tens place, so False. b) 1908 > 1098 is True. c) The greatest 4-digit number from 1,9,8,0 is 9810, not 9108, so False.


9008 (adults) > 8009 (children), so there were more adults. Difference = 9008 - 8009 = 999.


Ben = 1 unit, Alice = 4 units, total = 5 units = 180. 1 unit = 180 ÷ 5 = 36. Ben has 36 stamps.


The 3-digit number × 7 = 2646, so the number is 2646 ÷ 7 = 378. The missing hundreds digit is 3.


Beads given away = 720 - 24 = 696. Each friend got 696 ÷ 4 = 174.


a) 80 + 64 = 144 children. b) 144 × 6 = 864 paper flowers.


a) 235 × 7 = 1645 pins. b) One box has 235 pins; after giving 61 away, 235 - 61 = 174 remain; 174 ÷ 6 = 29 pins per packet.


3/8 = 0.375 and 5/6 ≈ 0.833, so 3/8 < 5/6 is correct. The others are false.


Convert all to metres: 2540 m; 2 km 54 m = 2054 m; 2 km 504 m = 2504 m; 20 m 54 cm = 20.54 m. The longest is 2540 m.


Total boxes = 216 / 9 = 24. Boxes left = 24 - 18 = 6.


50 / 8 = 6 remainder 2. (a) 6 toy cars. (b) $2 left.


Total bags = 8 + 1 = 9. Oranges = 9 x 4 = 36.


Blue = 1 unit, red = 2 units, total = 3 units = 84. Blue = 84 / 3 = 28.


Pete and 3 boys = 4 boys. Each = 204 / 4 = 51.


(a) New girl-boy difference = 45 + 8 + 5 = 58. (b) Boys + girls = 640 and girls = boys + 58, so 2 x boys + 58 = 640; boys = (640 - 58) / 2 = 291.


With the same numerator, the smaller the denominator the larger the fraction. So 2/3 > 2/5 > 2/9.


From 8 a.m. to 9 a.m. is 1 hour; from 9 a.m. to 9.05 a.m. is 5 minutes. Total 1 h 5 min.


Remove Jon's extra 46: 320 - 46 = 274. Split equally: May = 274 / 2 = 137.


They started equal. Hong Wei gives 28 away (his count drops by 28) and Benson gains 28, so the difference is 28 + 28 = 56.


3 units = 825, so 1 unit (Kelly) = 275. Melissa = 550. Difference = 550 - 275 = 275.


Jerry = 2/6 = 8/24, Joel = 3/8 = 9/24, Jane = 4/12 = 8/24. 9/24 is the largest, so Joel ate the most.


4/11 = 12/33 (multiply top and bottom by 3). 4/11 = 20/55 (multiply top and bottom by 5). So (a) = 12, (b) = 55.


Watch is 15 min slow, so actual stop time = 8.05 p.m. + 15 min = 8.20 p.m. Run lasted 135 min (2 h 15 min), so start = 8.20 p.m. − 2 h 15 min = 6.05 p.m.


11 m = 1100 cm. 1100 − 263 = 837 cm used for the pieces. 837 ÷ 9 = 93 cm each.


(a) Alvin = 2 × Bala and Caleb < Bala < Alvin, so Alvin definitely has more than Caleb — True. (b) Alvin + Bala = 3 parts of Bala; with Caleb fewer than Bala there are several possible values for Caleb, so the exact number cannot be determined — Not possible to tell.


In the end Pete had 285 more than Ken: 1527 + 285 = 1812 marbles. Pete bought 1812 − 1037 = 775 marbles.


Like fractions: add numerators, keep denominator. 5/7 + 1/7 = 6/7.


40 / 6 = 6 R 4. The 4 leftover oranges need another bag, so 7 bags.


Square perimeter = 9 x 4 = 36 cm. Rectangle: 36 - 2 x 12 = 12; breadth = 12 / 2 = 6 cm.


Watch is 15 min slow, so correct stop time = 10 20 + 15 min = 10 35. Start = 10 35 - 2 h 30 min = 08 05.


Gary has 1548. Vanessa ends with 125 more than Gary: 1548 + 125 = 1673. She bought 1673 - 758 = 915 cards.


2/3 = 4/6 = 6/9 = 8/12. 4/9 is not equal to 2/3, so it is the odd one out.


Giving 14 coins from Dawn to Amy reduces the gap by 2 x 14 = 28. 67 - 28 = 39.


74 / 9 = 8 remainder 2. The leftover 2 students still need a van, so 8 + 1 = 9 vans.


Movie started at 1.25 + 10 min = 1.35 p.m. It ended at 1.35 + 1 h 15 min = 2.50 p.m.


Total of 5 units = 180, so 1 unit = 180 / 5 = 36. Ali has 4 units = 4 x 36 = 144.


a) Gaps between 1st and 14th = 14 - 1 = 13. b) Total distance = 13 x 6 = 78 m.


4 T-shirts + 4 pairs of shorts = 4 x $27 = $108. The extra 1 pair of shorts = $116 - $108 = $8.


From greatest to smallest: 653, 635, 563, 536. Each number is smaller than the one before it.


The pattern increases by 210 each time. 3835 + 210 = 4045.


12/18 simplifies to 2/3. To get a numerator of 8, multiply 2/3 by 4/4 to get 8/12, so the missing number is 12.


Subtract 1 hour 50 minutes from 12 00. 12 00 minus 1 hour = 11 00; minus 50 minutes = 10 10.


158 divided by 8 = 19 remainder 6. The remaining 6 passengers still need a minibus, so 19 + 1 = 20 minibuses.


(a) Oranges = 570 divided by 5 = 114. (b) Pears = 114 + 38 = 152 (oranges are 38 fewer than pears).


Three full boxes: 118 x 3 = 354. Add the last box: 354 + 79 = 433.


Remaining after 27 left: 159 - 27 = 132 seated. People who came in: 27 x 4 = 108. Total seats = 132 + 108 = 240.


The pattern increases by 10 each time. 2096 + 10 = 2106.


114 / 9 = 12 remainder 6. The leftover 6 pies need one more box, so 12 + 1 = 13 boxes.


After giving away 40, Faye had 34 - 18 = 16 files. So at first she had 16 + 40 = 56 files.


(a) Eight thousand, three hundred and fifty-six = 8356. (b) For the greatest even number from 1,8,3,2, the last digit must be even; using 2 as the units gives 8312.


458 x 4 = 1832, which matches the form 1B32 with B = 8. So A = 4 and B = 8.


Let Hall Y = 1 unit. X = 1 unit - 7, Z = 4 units. Total = 6 units - 7 = 815, so 6 units = 822, Hall Y = 822 / 6 = 137.


7023 = 7000 + 20 + 3. The missing number is 20 (the tens place).


5/7 is more than half; 1/2 = 0.5; 2/8 = 1/4 is less than half. Greatest to smallest: 5/7, 1/2, 2/8.


From 11 30 to 13 00 is 1 h 30 min; from 13 00 to 13 17 is 17 min. Total = 1 h 30 min + 17 min = 1 h 47 min.


Work backwards: 312 - 13 = 299 (before the 13 entered); 299 + 18 = 317 (before the 18 left). So 317 students at first.