Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
4 m
Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.
4 m
Level 2
There was 11 ? of water in a pail and 1.8 ? of water in a basin. Warren then poured in an equal volume of water into each container. Now, the volume of water in the pail is 5 times in the basin. How much water did Warren pour into each container?
2 m
Level 3
Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?
4 m
Level 3
When both printers U and V are used, a collection of books can be printed in 3 hours. While printing, Printer U broke down. As a result, it took 113 hours to complete printing. If it would take Printer V 4 hours to print the collection alone,
  1. how long would it take to print the collection of books using only Printer U? Express your answer in hours.
  2. how long was Printer U used before it broke down? Express your answer in hours.
4 m
Level 3
Figure A shows a rectangular container. It is 35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
  1. Find the capacity of the container in litres.
  2. All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
4 m
Level 3
Container M and Container N are identical. Container M is filled with water to the brim and Container N is empty. Some water from Container M is poured into Container N such that the ratio of the volume of water remained in Container M to that in Container N is 3 : 2.
  1. How much water is poured into Container N?
  2. Find the height of water that remained in Container M.
4 m
Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
4 m
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
4 m
Level 3
A rectangular tank measuring 25 cm by 12 cm by 10 cm is 25 filled with water. All the water is then poured into a cubical tank with a side measuring 14 cm. How much more water is needed to fill the cubical tank completely? Give your answer in litres.
4 m