Level 3
An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 25 cm. Two wooden cubes, of side 8 cm and 10 cm respectively, rest on the base of the tank.
  1. Find the capacity of the tank.
  2. How much water must be poured into the tank so that the tank is half filled?
3 m
Level 2
After using 17 of her sugar, Mrs Lim bought another 75 kg of sugar. As a result, Mrs Lim now has 97 as much sugar as what she had at first. How many kilograms of sugar did Mrs Lim have at first?
3 m
Level 3
A rectangular container measuring 55 cm by 50 cm by 23 cm was 110 filled with water. Mary turned on a tap at 9.36 p.m. to fill more water into the container. She turned off the tap at 9.59 p.m. The container was 910 filled with water. Given that the water flowed out of the tap at the same rate, find the volume of water that flowed out of the tap in a minute. Give your answer in litres.
4 m
Level 3
Tank P measuring 40 cm by 24 cm by 36 cm is 56-filled with water. The water is then poured into another tank, Tank Q measuring 24 cm by 20 cm by 18 cm until it is full. What is the volume of water left in Tank P? Give your answer in cubic centimetres.
3 m
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
  1. What is the base area of the tank?
  2. After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
4 m
Level 3
Tank A is a cubical tank of side 8 cm. It is 34 filled with water. The water is then poured into Tank B measuring 10 cm by 12 cm by 15 cm.
  1. Find the volume of water in Tank A at first.
  2. How much more water is needed to fill Tank B to the brim? Give your answer in litres.
3 m
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
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
3 m
Level 2
What fraction of the figure is unshaded? (Leave your answer in its simplest form.)
3 m
Level 2
Mrs Ava used 37 m of string to tie parcel X and 15 m of string to tie parcel Y. How much string did she use altogether?
3 m