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
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 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 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 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