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?
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.
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)
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.
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?
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?
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.
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.
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.
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.
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.
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.
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?
Level 2
Adam has 30 blue stickers and 120 red stickers.
After buying the same number of stickers,
the ratio of the blue stickers and the red stickers becomes 1 : 3.
How many stickers does he buy?
Level 2
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam gives away another 10 blue stickers and 10 red stickers,
the ratio of the number of blue stickers to red stickers is 3 : 1.
How many stickers does Adam have now?
Level 2
The ratio of the number of blue stickers to red stickers is 3 : 1.
After Adam buys another 10 blue stickers and 10 red stickers,
the ratio of the number of blue stickers to red stickers is 5 : 2.
How many stickers does Adam have now?
Level 3
Fred's father is 7 times as old as his son. His father will be 35 years old in 7 years' time. In how many years' time will Fred be 60% that of his father?
Level 3
Yvonne will be 36 years old in 3 years' time. Now, Tina's age is 23 of Yvonne's age. What was Tina's age when she was 4 years less than 80% of Yvonne's age?
Level 3
Titus bought some custard and apple pastry puffs in the ratio of 7 : 6. After Titus's classmates ate an equal number of the two types of pastry puffs, there were 35% fewer apple than custard pastry puffs. In the end, there were 165 pastry puffs left. How many pastry puffs of each type were eaten?
Level 3
In January, Anna and Ryan had stamps in the ratio 5 : 2. In February, each of them gave away the same number of stamps. Anna then had thrice as many stamps as Ryan.
Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
Level 3
Rael's age is
25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
