Questions

From Worst to Best

31 P6.VO.NK.21060406

Level 3 PSLE
An open rectangular box is shown.

The inside of the box including the base is painted. Find the painted area.
When the box is packed full with 1-cm cubes, how many cubes are there?
How many cubes touch inside the box as a result?

5 m

Attempt

32 P6.VO.NK.17053167

Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is ³₅ filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.

What is the capacity of Tank B?
What is the volume of water in the tank now in litres?

5 m

Attempt

Volume of cube Height of cuboid Filling tank Fraction of a whole Unit conversion More than or less than Units method

33 P6.VO.NK.17053044

Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.

What is the height of the water level from the base of the container?
How much more water in cm³ must be poured in so that the water fills up half of the top cube?

5 m

Attempt

Volume of cuboid Volume of cube Base area x height Height of cuboid Filling tank Volume common base area Fraction of a whole More than or less than

34 P6.SP.JC.17081501

Level 3
To fill a tank measuring 50 cm by 20 cm by 40 cm completely, it takes Tap A 4 minutes while it takes Tap B only 12 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 8 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?

5 m

Attempt