Level 3 PSLE
The figure shows an empty flower vase of height 40 cm. It is made from 2 containers. The top container is in the form of a cuboid which has a square base side 4 cm and height 28 cm. The bottom container is in the form of a cube of 12 cm. 2.16 litres of water is poured into the empty vase. What is the height of the water level from the base of the vase? (1 litre = 1000 cm3 )
3 m
Level 3
A rectangular tank measuring 60 cm by 50 cm by 25 cm was to be filled with water by two taps, A and B. Tap A which fills the tank at a rate of 8ℓ per minute was first turned on for 5 minutes before Tap B was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap A was first turned on, what is the rate at which Tap B fills the tank? Give the answer in ℓ per minute correct to 1 decimal place.
3 m
Level 3
Tank A, measuring 40 cm by 30 cm by 50 cm, was filled with water to the brim. Water was then poured from Tank A to Tank B, which has a base area of 900 cm2 until the height of the water level in Tank B became twice that of the water level in Tank A. Find the volume of water in Tank B, leaving the answer in litres.
3 m
Level 3
An empty rectangular tank has a capacity of 90ℓ and a height of 50 cm. At 10 am, Tap A is turned on to fill the tank at a rate of 4ℓ per minute for 15 minutes. After 5 minutes, Tap B is turned on to drain water from the tank at a rate of 2ℓ per minute for 18 minutes. What is the height of the water level in the tank in the end? Express the answer in 1 decimal place.
3 m
Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
3 m
Level 3
The figure is not drawn to scale. Tank A measuring 40 cm by 30 cm by 20 cm is filled to the brim. When 35 of water was transferred from Tank A to Tank B, 1.8 litres of water overflowed. Tank B has a base area of 300 cm2. Find the height of Tank B.
3 m
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
3 m
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm. After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
3 m
Level 3
The figure is not drawn to scale. The tank was 23 filled with water to a height of 30 cm. When a rubber ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank. Find the volume of the rubber ball.
3 m
Level 2 PSLE
Two rectangular tanks are shown. Tank Y contained water to half its height. All the water from Tank Y was poured into Tank Z without spilling. What was the height of the water level in Tank Z?
3 m