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
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.
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.
Image in this question is not available.
Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
Image in this question is not available.
Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
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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 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.
Level 3
The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.
Level 3
The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.
Image in this question is not available.
Level 3 PSLE
The figure shows an empty flower vase of height 40 cm. It is made from 2 containers. The top container is in the form of a cuboid which has a square base side 4 cm and height 28 cm. The bottom container is in the form of a cube of 12 cm. 2.16 litres of water is poured into the empty vase. What is the height of the water level from the base of the vase?
(1 litre = 1000 cm3 )
Level 3 PSLE
The figure shows an empty flower vase of height 40 cm. It is made from 2 containers. The top container is in the form of a cuboid which has a square base side 4 cm and height 28 cm. The bottom container is in the form of a cube of 12 cm. 2.16 litres of water is poured into the empty vase. What is the height of the water level from the base of the vase?
(1 litre = 1000 cm3 )
Image in this question is not available.
