Level 3
Cubical Tank P has a length of 36 cm and is 79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
  1. What is the volume of water in Tank P at first? Give your answer in cm3
  2. What is the volume of water left in Tank P? Give your answer in litres.
3 m
Level 3
A rectangular tank measuring 50 cm by 36 cm by 27 cm was 34 filled with water. The water was used to fill up some bottles of capacity 2 ℓ each. How many bottles were filled completely?
3 m
Level 3
A rectangular tank, measuring 30 cm by 25 cm by 40 cm, was filled with water. Ben poured all the water into 1.5 ℓ bottles. After filling 4 bottles, how many more bottles could Ben fill?
3 m
Level 3
A container measuring 25 cm by 16 cm by 48 cm was 13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
  1. How much water did James pour into container? Give your answer in mℓ.
  2. James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
3 m
Level 3
A rectangular tank, measuring 20 cm by 12 cm by 15 cm, was completely filled with water. All the water was poured into identical cubical containers of side 8 cm. What was the least number of containers used?
3 m
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
3 m
Level 3
Container A and Container B had some liquid in the ratio 7 : 5. After 48 litres of liquid was transferred from A to B, the amount of liquid in Container B became 3 times as much as in Container A. How much liquid were there in the two tanks in all?
4 m
Level 3
The figure is a structure made up of 2 cm cubes. What is the volume of the total number of cubes up to the 10th step?
4 m
Level 3
In the working, A, B, C, D, E and F are 2-digit numbers. If A is 20, B is the 4th multiple of A, C is the 3rd multiple of 11, D is the volume of a cube with length of 4 units, and F is the 4th multiple of 11, what is E?
3 m
Level 3
A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
  1. Given that the height of the tank is 45 cm, find the volume of water in the tank.
  2. All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
4 m