Level 3
The figure is made up of 2 squares of different sizes. The area of the small square is 50% of the area of the big square. The overlapped shaded area is 20 cm2. The area of the unshaded small square is 25 the area of the unshaded big square. Find the area of the small square.
3 m
Level 3
In a school, the ratio of adults to the number of children is 12 : 7.
The ratio of the number of boys to the number of girls is 3 : 2.
There are 70 more boys than girls.
How many people are there in the school?
3 m
Level 3
Wendyville School had 1220 students and Janeville School had 30% more students. When an equal number of students left each school, the ratio of the students in Janeville School to that in Wendyville School became 2 : 1. How many students were there in both schools in the end?
3 m
Level 2
Jack had 25 the number of stamps David had at first. After David gave Jack 45 of his stamps, Jack had 35 the number of stamps David had. How many stamps did Jack have at first?
2 m
Level 3
Adam receives his allowance of $250.
The ratio of Adam's spending to Adam's saving is 2 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 4.
  1. How much does Adam save?
  2. How much less does Adam spend on food than other expenses?
3 m
Level 2
Seth paid $24 for an equal number of shirts and vests. Each vest cost $4.50. Each shirt cost $3 more than each vest. How many shirts did she buy?
2 m
Level 2
Zoe paid a total of $72 for an eraser, a ruler and a pen. The eraser cost 27 of the total cost of the ruler and the pen. The pen cost 15 of the total cost of the eraser and the ruler. Find the total cost of the pen and the eraser.
2 m
Level 3
Adam receives his allowance of $250.
The ratio of Adam's spending to Adam's saving is 2 : 3.
The ratio of Adam's spending on food to the remaining expenses is 1 : 4.
  1. What fraction of his allowance is spent on food?
  2. What fraction of his allowance is spent on the remaining expenses?
  3. How much did he spend on food?
3 m
Level 3 PSLE
At first, the ratio of the number of boys to the number of girls in a club was 4 : 1. After 10 boys and 10 girls joined the club, the ratio became 3 : 1.
  1. Did the percentage of members who were girls increase (1), decrease (2) or remain the same (3)? Give your answer in number. (Eg Increase = 1)
  2. In the end, how many boys were there in the club?
3 m
Level 2 PSLE
Pupils in a school are put into two groups for an excursion. 25 of the pupils are in Group A and the rest in Group B. 14 of the pupils in Group A are boys. In the school, 310 of the pupils are boys. What fraction of the pupils in Group B are boys?
2 m
Level 2
Brandon spent $74 on a table tennis bat and 6 ping pong balls. The table tennis bat cost $39.70 more than each ping pong ball. How much did he pay for the table tennis bat?
2 m
Level 3
Renee had $420 less than Tom. Tom spent 0.6 of his money and Renee spent 0.5 of her money. In the end, Tom and Renee had the same amount of money left. Find the amount of money Renee had at first.
3 m
Level 2
The ratio of the number of girls to the number of boys is 3 : 5.
Each girl is given 4 stickers.
Each boy is given 2 stickers.
The total number of stickers is 220.
  1. How many children are there?
  2. How many more boys than girls are there?
  3. How many more stickers are given to the girls than the boys?
3 m
Level 2
Betty paid $9 for 3 macarons and 5 pies. A pie cost thrice as much as a macaron.
  1. Find the cost of a macaron in cents.
  2. How much more did she pay for a pie than a macaron?
2 m
Level 2
George's age is 25 his brother's age now. In 16 years' time, his age will be 23 that of his brother's. How old is George now?
2 m
Level 3
At a wedding function, the ratio of the number of men to the number of women was 13 : 5. If 35% of the women left, what percentage of the men must leave so that there will be an equal number of men and women remaining?
3 m
Level 2
The ratio of the number of girls to the number of boys is 3 : 5.
Each girl is given 4 stickers.
Each boy is given 2 stickers.
The total number of children is 80.
  1. How many stickers are given to the children?
  2. How many less girls than boys are there?
  3. How many less stickers are given to the boys than the girls?
3 m
Level 1 PSLE
Charles has a number of 10¢, 20¢ and 50¢ coins in the ratio 4 : 2 : 1. The total value of all the coins is $156. What is the total value of the 20¢ coins?
3 m
Level 2 PSLE
Jane bought 2 fans of the same model at a sale. She paid $144.50 for them.
  1. What was the price of a fan before discount?
  2. Tom also bought 2 such fans at the price before discount. How much more did Tom pay than Jane?
3 m
Level 2
There were 57 as many parents as kids on a bus. At the first bus stop, 9 parents and 9 kids boarded the bus. There were then 45 as many parents as kids. How many parents were on the bus at first?
2 m