Level 3 PSLE
A and B are two rectangular tanks. The base area of A is 80 cm2 while that of B is 50 cm2 . At first, A contained water to a height of 40 cm and B was empty, as shown.
  1. What was the volume of the water in A at first? 
  2. Rashid then poured some water from A to B. After that, the height of the water level in A was twice that in B. What was the new height of the water level in A? Round off the answer to 1 decimal place.
3 m
Level 3
Water has been poured into 2 rectangular containers X and Y. The height of the water level in both containers are the same. The difference in the volume of the two containers is 168 cm3. What is the total volume of water in both containers in cm3?
3 m
Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
3 m
Level 3
The figure is not drawn to scale. A and B are two rectangular tanks. The base area of A is 50 cm2 while the base area of B is 40 cm2. Tank A and B contained some water and the height of the water level in Tank A was 43 cm as shown. Dan then poured some water from Tank A into Tank B. After that, the height of the water level in both tanks became 30 cm. What was the height of the water level in Tank B at first?
3 m
Level 3
The figure is not drawn to scale. Mary poured some water into Tank A and Tank B until the water levels in both tanks were the same. She found out that the total amount of water in both tanks was 32 000 mℓ. She then poured another 1200 mℓ of water into Tank A to fill it to the brim. Find the height of Tank A in the end.
3 m
Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
3 m
Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
3 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
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
4 m
Level 3
The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm2 and 1000 cm2 respectively. Water was poured into an empty rectangular Tank A until it reached a height of 20 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.
  1. Find the new height of the water in Tank A.
  2. How many litres of water were poured into Tank B?
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
Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
4 m
Level 3
The figure, not drawn to scale, shows an empty tank measuring 20 cm by 15 cm by 15 cm. Water flows from Tap A at a rate of 300 mℓ per minute and from Tap B at a rate of 180 mℓ per minute. Tower X and Tower Y have a base area of 20 cm2 and 30 cm2 respectively. Water is drained out of the container at a rate of 130 mℓ per minute. Find the height of the water level after 13 minutes.
5 m
Level 3
The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.
  1. Find the time taken for the heights of the water level to be the same in both tanks.
  2. Find the height of the water level at that point of time.
5 m