Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
- What is the height of water in the tank now?
- It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
- What is the height of water in the tank now?
- It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
Image in this question is not available.
Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Image in this question is not available.
Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.
Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.
Image in this question is not available.
Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
Image in this question is not available.
Level 2
There was 11 ? of water in a pail and 1.8 ? of water in a basin. Warren then poured in an equal volume of water into each container. Now, the volume of water in the pail is 5 times in the basin. How much water did Warren pour into each container?
2 m
Image in this question is not available.
Level 3
Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?
Level 3
Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?
Image in this question is not available.
Level 3
When both printers U and V are used, a collection of books can be printed in 3 hours. While printing, Printer U broke down. As a result, it took 1
13 hours to complete printing. If it would take Printer V 4 hours to print the collection alone,
- how long would it take to print the collection of books using only Printer U? Express your answer in hours.
- how long was Printer U used before it broke down? Express your answer in hours.
4 m
Image in this question is not available.
Level 3
Figure A shows a rectangular container. It is
35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
- Find the capacity of the container in litres.
- All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
Level 3
Figure A shows a rectangular container. It is
35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
- Find the capacity of the container in litres.
- All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
Image in this question is not available.
Level 3
Container M and Container N are identical. Container M is filled with water to the brim and Container N is empty. Some water from Container M is poured into Container N such that the ratio of the volume of water remained in Container M to that in Container N is 3 : 2.
- How much water is poured into Container N?
- Find the height of water that remained in Container M.
Level 3
Container M and Container N are identical. Container M is filled with water to the brim and Container N is empty. Some water from Container M is poured into Container N such that the ratio of the volume of water remained in Container M to that in Container N is 3 : 2.
- How much water is poured into Container N?
- Find the height of water that remained in Container M.
Image in this question is not available.
Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
Image in this question is not available.
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
Image in this question is not available.
Level 3
A rectangular tank measuring 25 cm by 12 cm by 10 cm is 25 filled with water. All the water is then poured into a cubical tank with a side measuring 14 cm. How much more water is needed to fill the cubical tank completely? Give your answer in litres.
4 m
Image in this question is not available.
Level 3
A rectangular container 40 cm long, 30 cm wide and 25 cm high is
45 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 4 ℓ of water is left in the container.
- How many litres of water was there in the container at first?
- What is the height of the glass tank if it is 50 cm long and 25 cm wide?
4 m
Image in this question is not available.
Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.
- With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
- Starting with an empty tank, how long does it take for both taps together to fill 14 of the tank? Give your answer in seconds.
Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.
- With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
- Starting with an empty tank, how long does it take for both taps together to fill 14 of the tank? Give your answer in seconds.
Image in this question is not available.
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
Image in this question is not available.
Level 3
The figure shows a sealed bottle of height 35 cm. It is made from two containers. The top container is in the form of a cuboid with a square base. The bottom container is in the form of a cube of side 20cm. The height of the water in the bottle (shown in Figure A) is 18 cm.
When the same bottle is turned upside down (shown in Figure B), the height of the water in the bottle is 29 cm. How much water can the sealed bottle hold if it is completely filled?
Level 3
The figure shows a sealed bottle of height 35 cm. It is made from two containers. The top container is in the form of a cuboid with a square base. The bottom container is in the form of a cube of side 20cm. The height of the water in the bottle (shown in Figure A) is 18 cm.
When the same bottle is turned upside down (shown in Figure B), the height of the water in the bottle is 29 cm. How much water can the sealed bottle hold if it is completely filled?
Image in this question is not available.
Level 3
A tank is to be filled to the brim. Tap A takes 20 minutes to fill the tank while Tap B takes 15 minutes to fill it. How long will it take to completely fill the tank with water if both the taps are turned on at the same time? Leave the answer in minutes and round off to 1 decimal place.
4 m
Image in this question is not available.
Level 3
Container A and B are identical containers with the same base area and height. Container A is filled to the brim with water while Container B is empty. After 240 cm3 of water is poured into Container B from Container A, the depth of water in Container B is 14 the depth of water in Container A. If the height of the container is 25 cm, what is the base area of Container B?
4 m
Image in this question is not available.
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
Image in this question is not available.
Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?
Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?
Image in this question is not available.
