Level 2
Mr Lee poured 4 cups of water into an empty square-based container of side 10 cm and height 20 cm. As a result, the container was only 14 filled with water. How much water did each cup contain?
2 m
Image in this question is not available.
Level 2
A cylindrical container is filled with 68.02 ℓ of water. It was then poured into an empty rectangular fish tank measuring 80 cm by 0.5 m by 28 cm until it is 47 full. How much water is left in the cylindrical container? Leave your answer in ℓ and mℓ.
2 m
Image in this question is not available.
Level 2
A rectangular container measuring 20 cm by 40 cm by 15 cm is 25 filled with water. Tom wants to fill up the container completely with some bottles of water. How many bottles of water are needed if the capacity of each bottle is 900 mℓ?
2 m
Image in this question is not available.
Level 2 The tank, measuring 21 cm by 20 cm by 40 cm, is
34 filled with water at first. All the water is poured into empty identical bottles to the brim. Each bottle has a capacity of 700 mℓ.
- How much water was there in the tank at first? Give your answer in millilitres.
- How many such bottles are completely filled with water?
Level 2 The tank, measuring 21 cm by 20 cm by 40 cm, is
34 filled with water at first. All the water is poured into empty identical bottles to the brim. Each bottle has a capacity of 700 mℓ.
- How much water was there in the tank at first? Give your answer in millilitres.
- How many such bottles are completely filled with water?
Image in this question is not available.
Level 3
Water flows into a tank at the rate of 45 ℓ per minute. After 10 min, the tap is turned off and the tank is 0.6 filled with water.
- How much more water is needed to fill it to the brim?
- The water in the tank is then poured into containers each 1.5 m long, 0.3 m wide and 10 cm high. What is the minimum number of containers needed?
4 m
Image in this question is not available.
Level 3
Tank P measuring 40 cm by 24 cm by 36 cm is 56-filled with water. The water is then poured into another tank, Tank Q measuring 24 cm by 20 cm by 18 cm until it is full. What is the volume of water left in Tank P? Give your answer in cubic centimetres.
Level 3
Tank P measuring 40 cm by 24 cm by 36 cm is 56-filled with water. The water is then poured into another tank, Tank Q measuring 24 cm by 20 cm by 18 cm until it is full. What is the volume of water left in Tank P? Give your answer in cubic centimetres.
Image in this question is not available.
Level 3
Tank A is a cubical tank of side 8 cm. It is
34 filled with water. The water is then poured into Tank B measuring 10 cm by 12 cm by 15 cm.
- Find the volume of water in Tank A at first.
- How much more water is needed to fill Tank B to the brim? Give your answer in litres.
3 m
Image in this question is not available.
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
Image in this question is not available.
Level 3
A rectangular tank measuring 50 cm by 60 cm by 40 cm was completely filled with water. If the water was used to fill some cubical containers of edge 20 cm, how many cubical containers would be fully filled?
3 m
Image in this question is not available.
Level 3 Cubical Tank P has a length of 36 cm and is
79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
- What is the volume of water in Tank P at first? Give your answer in cm3
- What is the volume of water left in Tank P? Give your answer in litres.
Level 3 Cubical Tank P has a length of 36 cm and is
79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
- What is the volume of water in Tank P at first? Give your answer in cm3
- What is the volume of water left in Tank P? Give your answer in litres.
Image in this question is not available.
Level 3
A rectangular tank measuring 50 cm by 36 cm by 27 cm was 34 filled with water. The water was used to fill up some bottles of capacity 2 ℓ each. How many bottles were filled completely?
3 m
Image in this question is not available.
Level 3
A rectangular tank, measuring 30 cm by 25 cm by 40 cm, was filled with water. Ben poured all the water into 1.5 ℓ bottles. After filling 4 bottles, how many more bottles could Ben fill?
3 m
Image in this question is not available.
Level 3
A container measuring 25 cm by 16 cm by 48 cm was
13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did James pour into container? Give your answer in mℓ.
- James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
Level 3
A container measuring 25 cm by 16 cm by 48 cm was
13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did James pour into container? Give your answer in mℓ.
- James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
Image in this question is not available.
Level 3
A rectangular tank, measuring 20 cm by 12 cm by 15 cm, was completely filled with water. All the water was poured into identical cubical containers of side 8 cm. What was the least number of containers used?
Level 3
A rectangular tank, measuring 20 cm by 12 cm by 15 cm, was completely filled with water. All the water was poured into identical cubical containers of side 8 cm. What was the least number of containers used?
Image in this question is not available.
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
Image in this question is not available.
Level 3
A cylindrical dispenser of capacity 5.7 ℓ was filled with apple juice to its brim. The milk in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 200 mℓ/min. After 15 min, the tap was turned off and the container was
23 full.
- What percentage of the milk in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of milk were there in the container at first? (1 ℓ = 1000 cm3)
5 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
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.
