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
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
3 m
Level 3
It takes Faucet A 30 minutes to fill a tank measuring 12 cm by 10 cm by 22 cm completely while it takes Faucet B only 25 minutes. How long will it take to completely fill the tank with water if both the faucets are turned on at the same time? Leave the answer in minutes and round off to 2 decimal places.
3 m
Level 3
Tap A can fill a tank completely in 2 hours while Tap B takes an hour more to fill the same tank completely. There is a hole at the bottom of the tank which can empty the full tank in 6 hours. How long does it take for the tank to be completely filled if both taps are turned on?
3 m
Level 3
The figure shows an empty transparent tank made from three containers. The two containers A and B on top are in the form of cuboids which have square bases of side 6 cm and 4 cm as shown in the figure. The bottom container is in the form of a cube of side 14 cm. 3.42ℓ of water are poured into the empty vase. Find the height of the water level from the base of the vase. (1 litre = 1000 cm3)
3 m
Level 3
The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.
3 m
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