Level 2
The figure is made up of 1-cm cubes. How many 1-cm cubes must be added to the figure to form a larger cube of 4 cm side?
Level 2
The figure is made up of 1-cm cubes. How many 1-cm cubes must be added to the figure to form a larger cube of 4 cm side?
Image in this question is not available.
Level 2
The figure shows a rectangular glass tank partly filled with unit cubes. More unit cubes are added to fill the tank completely. What is the volume of the added cubes if each cube is a 1-cm cube?
Level 2
The figure shows a rectangular glass tank partly filled with unit cubes. More unit cubes are added to fill the tank completely. What is the volume of the added cubes if each cube is a 1-cm cube?
Image in this question is not available.
Level 1 PSLE
The figure shows a rectangular glass box partly filled with unit cubes. When the box is completely filled with unit cubes, how many cubes are there altogether?
Level 1 PSLE
The figure shows a rectangular glass box partly filled with unit cubes. When the box is completely filled with unit cubes, how many cubes are there altogether?
Image in this question is not available.
Level 2
The figure is not drawn to scale. 100 3-cm cubes are placed layer by layer into a tank with a base area of 20 cm by 15 cm. What is the height of the cubes when all the cubes are stacked up into the tank?
Level 2
The figure is not drawn to scale. 100 3-cm cubes are placed layer by layer into a tank with a base area of 20 cm by 15 cm. What is the height of the cubes when all the cubes are stacked up into the tank?
Image in this question is not available.
Level 2
Find the maximum number of cubes of edge 3 cm that can be cut from a foam cuboid, 27 cm by 24 cm by 18 cm.
2 m
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Level 2
Kelvin bought some chocolate came in square pyramid packages as shown in the figure. Each pyramid had a square base area of 1 cm2 and a vertical height of 1 cm. He then packed the candies in a box measuring 6 cm by 4 cm by 7 cm. What was the maximum number of such candies he could pack into the box?
Level 2
Kelvin bought some chocolate came in square pyramid packages as shown in the figure. Each pyramid had a square base area of 1 cm2 and a vertical height of 1 cm. He then packed the candies in a box measuring 6 cm by 4 cm by 7 cm. What was the maximum number of such candies he could pack into the box?
Image in this question is not available.
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?
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?
Image in this question is not available.
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
Image in this question is not available.
Level 2
Container A and Container B are fully filled with water. If all the water in Container A is poured into Tank C, it is 30 litres short of filling it to the brim. If all the water in Container B is poured into the same tank, it is 56 litres short of filling it to the brim. If the water from both containers is poured into the same tank, it will completely fill it. If both Tank C and Container B are completely filled, how much more water can Tank C fill than Container B?
2 m
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Level 2
A rectangular tank has a base area of 50 cm2. It is half filled with water. If 4 bottles of water are poured into the tank, 250 mℓ of water will overflow. If 3 bottles of water are poured into the tank, 100 mℓ of water will overflow. Find the height of the tank.
2 m
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Level 3
Bottle A and Bottle B have a total amount of 1050 mℓ of water. For Bottle B and Bottle C, the total amount of water is 1320 mℓ. The amount of water in Bottle A is 25 the amount of water in Bottle C. What is the average amount of water in the 3 bottles?
3 m
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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 cm2. Find the volume of 3 such cubes.
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 cm2. Find the volume of 3 such cubes.
Image in this question is not available.
Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
Image in this question is not available.
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
- Find the area of the shaded face.
- Find the volume of the cube.
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
- Find the area of the shaded face.
- Find the volume of the cube.
Image in this question is not available.
Level 3 Oscar had two identical wooden cuboid measuring 28 cm by 7 cm by 9 cm. He glued them together to form a solid as shown. He then painted the whole solid in white paint. After that, he cut the solid into 1-cm cubes.
- How many 1-cm cubes did he get?
- How many 1-cm cubes had none of its faces painted white?
Level 3 Oscar had two identical wooden cuboid measuring 28 cm by 7 cm by 9 cm. He glued them together to form a solid as shown. He then painted the whole solid in white paint. After that, he cut the solid into 1-cm cubes.
- How many 1-cm cubes did he get?
- How many 1-cm cubes had none of its faces painted white?
Image in this question is not available.
Level 3 PSLE
The figure shows a solid made up of identical cubes glued together. The surface area of the solid, including the base is painted blue. The volume of the solid is 1750 cm3. What is the total surface area that is painted blue?
Level 3 PSLE
The figure shows a solid made up of identical cubes glued together. The surface area of the solid, including the base is painted blue. The volume of the solid is 1750 cm3. What is the total surface area that is painted blue?
Image in this question is not available.
Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
Image in this question is not available.
Level 2
A container, which is 10 cm long, 9 cm wide and 7.55 cm deep, holds 1510 g of sugar. If 4.95 kg of the same sugar is packed into a tin with a 15-cm square base, how tall must the tin be?
3 m
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Level 3
Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.
Level 3
Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.
Image in this question is not available.
Level 3
The figure shows an empty transparent tank made from three containers. The two containers A and B on top are in the form of cuboids which have square bases of side 6 cm and 4 cm as shown in the figure. The bottom container is in the form of a cube of side 14 cm. 3.42ℓ of water are poured into the empty vase. Find the height of the water level from the base of the vase.
(1 litre = 1000 cm3)
Level 3
The figure shows an empty transparent tank made from three containers. The two containers A and B on top are in the form of cuboids which have square bases of side 6 cm and 4 cm as shown in the figure. The bottom container is in the form of a cube of side 14 cm. 3.42ℓ of water are poured into the empty vase. Find the height of the water level from the base of the vase.
(1 litre = 1000 cm3)
Image in this question is not available.
