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 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 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 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 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 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 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 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
Level 2 PSLE
Adam, Ben and Charlie shared the cost of a gift. The ratio of Adam's share to the total share of Ben and Charlie was 1 : 3. The ratio of Ben's share to the total share of Adam and Charlie was 1 : 5. Charlie's share was $100 more than Adam's share. How much did the gift cost?
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 3
Sean and Jack have some money. If Sean gives $293 to Jack, the ratio of their money will be 3 : 5. If Sean gives $424 to Jack, the ratio of their money will be 1: 3. How much does Sean have?
3 m
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest circle?
2 m
Level 3
60% of the pupils are boys. 40% of the boys and 40% of the girls wear cardigans. What percentage of the pupils do not wear cardigans?
3 m
Level 3
Ethan and Ian share a sum of money. Ethan receives $2400. If Ethan gets $105 less, the amount of money Ian gets will increase by 35%. Find the sum of money that the boys share.
3 m
Level 3
Carl was fixing a jigsaw puzzle. By the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?
3 m
Level 3
Henry, Jack and Liam sold some calculators. Liam sold 30% of the total number of calculators sold by Jack and Henry. Henry sold 20% of the total number of calculators sold by Jack and Liam. Jack sold 87 more calculators than Liam. Find the total number of calculators sold by all the boys.
3 m
Level 3
Betty, Mary and Jane shared a sum of money. Betty and Mary received 80% of the total amount of money. Mary and Jane received 50% of the total amount of money. Given that Betty received $66 more than Jane, how much was the sum of money that was shared by Betty and Jane?
3 m