Questions

From Worst to Best

31 P5.SP.JC.17083182

Level 3
A large cubical container of side 60 cm was filled with fruit juice up to 30% of its capacity. After 5 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by ¹₄ cm. The remaining fruit juice was then drained out through a tap found at the bottom of the container at a rate of 3 litres per min.

How much fruit juice can each jug hold? Express your answer in mℓ.
How long would it take to completely drain the fruit juice from the container through the tap? Express your answer in min. (1 ℓ = 1000 cm³)

4 m

Attempt

32 P5.VO.JM.17083188

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.

Find the capacity of the tank.
How much water must be poured into the tank so that the tank is half filled?

3 m

Attempt

Volume of cuboid Volume of cube Filling tank Displacement Fraction of a whole

33 P5.VO.NK.23022703

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.

Find the volume of water in Tank A at first.
How much more water is needed to fill Tank B to the brim? Give your answer in litres.

3 m

Attempt

Volume of cube Volume transfer Fraction of a whole Unit conversion

34 P5.VO.JM.17083160

Level 3
A rectangular tank measuring 50 cm by 60 cm by 40 cm was completely filled with water. If the water was used to fill some cubical containers of edge 20 cm, how many cubical containers would be fully filled?

3 m

Attempt

Volume of cuboid Volume of cube Volume transfer

35 P5.VO.NK.23041204

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.