Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
  1. How much water was there in Container B at first?
  2. How long did it take for the water from the tap to fill Container B to the brim?
  3. What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
4 m
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
4 m
Level 3
The diagram shows a container made of some identical sections. Figure A shows one section of the container. When 5828 cm3 of water was poured into the container, find the water level in the container.
4 m
Level 3
The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is 34 filled with 6000 mℓ of water while Cube B is completely filled with water. The height of the water level in Cube A is 4 cm higher than that in Cube B. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?
4 m
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
  1. the volume of the pail.
  2. the minimum number of such pails to fill the tank.
4 m
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
Level 3 PSLE
A and B are two rectangular containers. The base area of A is 30 cm2 and the base of B has dimensions as shown. A contained 750 cm3 of water and B was empty.
  1. What was the height of the water level in A?
  2. Ben poured some water from A into B without spilling. After that, the height of the water level of A was the same as that of B. How much water did Ben pour into B?
4 m
Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. 3 wooden cubes each of edge 10 cm, are placed in the tank. The tank is then filled with water flowing from a tap at a rate of 8 ℓ per minute.
  1. How long will it take to fill up the tank? Express your answer in min.
  2. What will be the depth of the water in the tank after 2 wooden cubes are removed?
5 m
Level 3
A rectangular container 100 cm by 50 cm by 45 cm was 20% filled with water. A tap was turned on to fill it up with water at a rate of 9 ℓ /min. Every 30 seconds after the tap was turned on, an iron ball of volume 500 cm3 was added to the container. How many iron balls of the same volume would there be in the container when the container is 100% filled with water?
4 m
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
  1. What is the height of water in the tank now?
  2. It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
4 m