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
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
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
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 3
Ethan and Liam had 400 marbles in total. Liam had 26 marbles more than Ethan at first. After Ethan and Liam played a game with Cathy, Ethan had 114 as many marbles as Liam. If Ethan lost as many marbles as Liam to Cathy, find the number of marbles that Ethan lost to Cathy.
3 m
Level 2 PSLE
At first, Logan had $90 and Polly had $60. Each bought a table at the same price. The amounts of money Logan and Polly had left were in the ratio 4 : 1. How much did the table cost?
3 m
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
3 m
Level 3
The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.
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 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
3 m