Question:

Level 1 PSLE

The volume of a cube is 64 cm^{3}. Find the perimeter of one face of the cube.

The volume of a cube is 64 cm

1 m

Level 2 PSLE

The figure shows 12 identical cubes which are glued together to form a solid. The whole solid, including the base, is then painted blue. How many cubes have three of their faces painted?

The figure shows 12 identical cubes which are glued together to form a solid. The whole solid, including the base, is then painted blue. How many cubes have three of their faces painted?

1 m

Level 1

The figure is made up of 3-cm cubes. What is the volume of the figure?

The figure is made up of 3-cm cubes. What is the volume of the figure?

2 m

Level 1

What is the maximum number of cubes of edge 6 cm that can be cut from a foam cuboid, 67 cm by 36 cm by 27 cm?

2 m
What is the maximum number of cubes of edge 6 cm that can be cut from a foam cuboid, 67 cm by 36 cm by 27 cm?

Level 2 PSLE

The block of wood shown was dipped into a pail of paint. The block was then cut into 4 identical cubes along the dotted lines and taken apart. The total unpainted area of the 4 cubes was 216 cm^{2}. What was the volume of each cube?

The block of wood shown was dipped into a pail of paint. The block was then cut into 4 identical cubes along the dotted lines and taken apart. The total unpainted area of the 4 cubes was 216 cm

2 m

Level 2

The figure is made up of 2-cm cubes. What is the volume of the minimum number of cubes that must be added to form a bigger cube?

The figure is made up of 2-cm cubes. What is the volume of the minimum number of cubes that must be added to form a bigger cube?

2 m

Level 2 PSLE

Jamie formed two cuboids with unit cubes. The length, breadth and height of the bigger cuboid are 2 times those of the smaller cuboid. She used 348 unit cubes to form the smaller cuboid. How many unit cubes did she use to form the larger cuboid?

2 m
Jamie formed two cuboids with unit cubes. The length, breadth and height of the bigger cuboid are 2 times those of the smaller cuboid. She used 348 unit cubes to form the smaller cuboid. How many unit cubes did she use to form the larger cuboid?

Level 3

9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up^{3}_{4} of the tank. What is the height of the tank? Correct the answer to 1 decimal place.

3 m
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up

Level 3

The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.

The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.

3 m

Level 3

The figure shows a cube with 3 painted parts A, B and C. These painted parts are of the same area and they are touching the midpoints of the sides of the cube. The total area of the painted parts is 96 cm^{2}. Find the volume of 3 such cubes.

The figure shows a cube with 3 painted parts A, B and C. These painted parts are of the same area and they are touching the midpoints of the sides of the cube. The total area of the painted parts is 96 cm

3 m