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
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 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 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
Level 2 PSLE
Mrs Lee had a bottle of oil. She used an equal amount of oil each day. At the end of the 5th day, she had 990 mℓ of oil left. At the end of the 7th day, she had half the bottle of oil left. How many litres of oil were there in the bottle at first?
2 m