Level 3
There were some pencils in Box A and Box B. After Carl transferred 34 of the pencils from Box A to Box B, the ratio of the number of pencils in Box A to that in Box B changed to 2 : 9. Find the ratio of the numbers of pencils in Box A to the number of pencils in Box B at first.
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
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
3 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
At first, Beaker A and Beaker B contained 0.6 ℓ and 1.6 ℓ of water respectively. Some water from Beaker B was poured into Beaker A with no water spilling over. In the end, there was as much water in Beaker A as in Beaker B. How much water was poured from Beaker B to Beaker A?
3 m
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
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 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Level 3
The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 14 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
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