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
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 2
Adam and Bryan have some stickers in the ratio of 3 : 2.
When Adam gives away 40 stickers,
the ratio of the stickers becomes 1 : 3.
  1. How many stickers do they have at first?
  2. How many stickers do they have in the end?
3 m
Level 2
Adam and Bryan have some stickers in the ratio of 1 : 3.
When Adam buys another 40 stickers,
the ratio of the stickers becomes 3 : 2.
  1. How many stickers do they have at first?
  2. How many stickers do they have in the end?
3 m
Level 2
Adam has blue and red stickers in the ratio of 1 : 2.
When 40 red stickers are replaced with the same number of blue stickers,
the ratio of the number of blue and red stickers will be 3 : 4
How many stickers are there altogether?
3 m
Level 2
Adam and Bryan have some stickers in the ratio of 1 : 2.
When Bryan gives Adam 40 stickers, the ratio of the stickers becomes 3 : 4.
How many stickers do they have all the end?
3 m
Level 3
Adam, Bryan and Chris have some stickers in the ratio of 10 : 3 : 5.
Adam gives Bryan and Chris a total of 40 stickers.
Now they have same number of stickers.
  1. What is the total number of stickers that they have?
  2. What is the number of stickers that Adam gives to Bryan?
  3. What is the number of stickers that Adam gives to Chris?
3 m
Level 2
Adam is 20 years old.
The total age of Adam and Bryan is 80 years.
How many years ago was the ratio of Adam's age to Bryan's age 1 : 5?
2 m
Level 2
There are 264 passengers on board a ship. The ratio of children and adults is 4 : 9. There are 18 more men than women. How many men are there on the ship?
3 m
Level 2
Adam is 10 years old. The total age of Adam and Bryan is 50 years. How many years' time will the ratio of Adam's age to Bryan's age be 1 : 3?
2 m
Level 2
Adam has 30 blue stickers and 70 red stickers.
After giving away the same number of stickers,
the ratio of the blue stickers and the red stickers becomes 1 : 3.
How many stickers are given away?
2 m