Level 3 PSLE
Mark pushes two poles, A and B, straight into the ground until the length of each pole that is above the ground is the same.

13 of A and 18 of B are in the ground. The length of A in the ground is 15 cm longer than the length of B in the ground. What is the total length of poles A and B?
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 3
12 of Adam's money is equal to 25 of Bryan's money.
Adam has $20.
  1. How much does Bryan have?
  2. How much does Adam have less than Bryan?
  3. How much do they have altogether?
4 m
Level 2
What is 23 of a complete turn?
2 m
Level 2
The height of a pole is 121 cm. 711 of the pole is painted red and the rest is painted white. Find the length of the pole painted in white.
2 m
Level 3
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up 34 of the tank. What is the height of the tank? Correct the answer to 1 decimal place.
3 m
Level 3
A pail can hold 18 ℓ of water. 3 bottles of water can fill up half the pail. How much water can each bottle hold?
3 m
Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
3 m
Level 3
After Jake poured 34 ℓ of water into the container, it became half full. How many ℓ of water could the container hold?
3 m
Level 2
The figure shows two identical semicircles. X and Y are the centres of the semicircles. Line AB is 60 cm. 15 of each semicircle is shaded. Find the total area of the shaded parts. (Take π = 3.14)
2 m
Level 2
Jack spent 14 of his allowance on projects and 38 of it on other materials needed. What fraction of his allowance did he spend?
3 m
Level 2
Jenny read 25 of a story book on Monday and 310 of the story book on Tuesday. What fraction of the story book had she finished reading?
3 m
Level 2
A box of cookies is shared among three children. Fernando gets 3 times as many cookies as Mary. Tessa gets twice as many cookies as Fernando. What fraction of the box of cookies does Fernando get?
2 m
Level 3
In a box, 45% of the pens are red, 15% are blue and the rest are yellow.
  1. What fraction of the pens is yellow? Give your answer in the simplest form.
  2. There are 588 yellow pens in the box. How many pens are there in the box altogether?
3 m
Level 2
Lovely spent 310 of her money on a pair of sandals and 15 of her money on a pair of socks. What fraction of her money was left?
3 m
Level 2
Kelly ate 25 of the cake. Steven ate 110 of the same cake. What fraction of the cake did they eat altogether?
3 m
Level 2
Mr Choy ordered a cake. He gave 25 of the cake to his wife and 15 of the cake to his son. What fraction of the cake did he have left for himself?
3 m
Level 2
Carl ate 112 of a pie. His sister ate 12 of the same pie. What fraction of the pie did Carl eat less than his sister?
3 m
Level 2
Timothy ate 14 of a cake. His brother ate 38 of the same cake. What fraction of the cake did his brother eat more than him?
3 m
Level 3
Beryl has 2 containers. A and B of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 5 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 4 litres per minute and Container B is filled by a tap at a rate of 3 litres per minute, when Container A is completely filled, Container B is only half-filled. What is the capacity of Container B?
3 m