Level 3
The petrol tank of Fred's convertible was 80% empty. He went to the petrol kiosk and topped up 25ℓ of petrol. When he reached the theme park, the petrol tank was 90% full. Given that he used 4ℓ of fuel to get to the theme park from the kiosk, find the capacity of the petrol tank.
3 m
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Level 3
Water has been poured into 2 rectangular containers X and Y. The height of the water level in both containers are the same. The difference in the volume of the two containers is 168 cm3. What is the total volume of water in both containers in cm3?
Level 3
Water has been poured into 2 rectangular containers X and Y. The height of the water level in both containers are the same. The difference in the volume of the two containers is 168 cm3. What is the total volume of water in both containers in cm3?
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Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
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Level 3
An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?
Level 3
An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?
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Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
3 m
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Level 3
The figure shows a cuboid that is formed by putting 12 identical cubes together. The volume of the cuboid is 96 cm3. Find the height of the cuboid.
Level 3
The figure shows a cuboid that is formed by putting 12 identical cubes together. The volume of the cuboid is 96 cm3. Find the height of the cuboid.
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Level 3
The figure is not drawn to scale. A and B are two rectangular tanks. The base area of A is 50 cm2 while the base area of B is 40 cm2. Tank A and B contained some water and the height of the water level in Tank A was 43 cm as shown. Dan then poured some water from Tank A into Tank B. After that, the height of the water level in both tanks became 30 cm. What was the height of the water level in Tank B at first?
Level 3
The figure is not drawn to scale. A and B are two rectangular tanks. The base area of A is 50 cm2 while the base area of B is 40 cm2. Tank A and B contained some water and the height of the water level in Tank A was 43 cm as shown. Dan then poured some water from Tank A into Tank B. After that, the height of the water level in both tanks became 30 cm. What was the height of the water level in Tank B at first?
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Level 3
The figure is not drawn to scale. Mary poured some water into Tank A and Tank B until the water levels in both tanks were the same. She found out that the total amount of water in both tanks was 32 000 mℓ. She then poured another 1200 mℓ of water into Tank A to fill it to the brim. Find the height of Tank A in the end.
Level 3
The figure is not drawn to scale. Mary poured some water into Tank A and Tank B until the water levels in both tanks were the same. She found out that the total amount of water in both tanks was 32 000 mℓ. She then poured another 1200 mℓ of water into Tank A to fill it to the brim. Find the height of Tank A in the end.
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Level 1
John planned to store drinking water in 1.25 litre plastic bottles. If he was able to fill 7 plastic bottles fully with water, how many litres of water did John store?
2 m
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Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
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Level 1
Every bottle contains 0.285 ℓ of liquid. What is the total amount of liquid in 9 such bottles?
2 m
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Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
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Level 2
Silas puts ten 1-cm cubes into a transparent tank.
- What is the volume of the transparent tank?
- How many more 1-cm cubes are needed to fill up the whole tank completely?
Level 2
Silas puts ten 1-cm cubes into a transparent tank.
- What is the volume of the transparent tank?
- How many more 1-cm cubes are needed to fill up the whole tank completely?
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Level 2
The solid is made up of cubes of edge 3 cm. How many cubes must be added to form a cuboid 24 cm by 12 cm by 9 cm?
Level 2
The solid is made up of cubes of edge 3 cm. How many cubes must be added to form a cuboid 24 cm by 12 cm by 9 cm?
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Level 2 PSLE
Min has two rectangular boxes A and B . The length, breadth and height of Box A are thrice those of Box B. She packed 12 identical cubes exactly into the small box. How many such cubes can be packed exactly into Box A? (The diagram is not drawn to scale.)
Level 2 PSLE
Min has two rectangular boxes A and B . The length, breadth and height of Box A are thrice those of Box B. She packed 12 identical cubes exactly into the small box. How many such cubes can be packed exactly into Box A? (The diagram is not drawn to scale.)
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Level 2
The figure is made up of 2-cm cubes. How many more cubes are needed to form a cube of volume 216 cm3?
Level 2
The figure is made up of 2-cm cubes. How many more cubes are needed to form a cube of volume 216 cm3?
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Level 1
Kylie poured 4.8 ℓ of milk equally into 3 flasks. How much milk did she pour into each flask?
2 m
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Level 2
How many more unit cubes must be added to solid A so that it becomes a cube of 3-cm edge?
Level 2
How many more unit cubes must be added to solid A so that it becomes a cube of 3-cm edge?
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Level 3
Alice is trying to form a 6-cm cube using 1-cm cubes. How many more 1-cm cubes does she need to form the 6-cm cube?
Level 3
Alice is trying to form a 6-cm cube using 1-cm cubes. How many more 1-cm cubes does she need to form the 6-cm cube?
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Level 3
Joshua placed a toy in an empty rectangular tank 150 cm long and 50 cm wide. He then filled the tank with water flowing from a tap at a rate of 5 ℓ per minute. It took 3 minutes to fill the tank to a depth of 6.5 cm to cover the toy completely. Find the volume of the toy. Express your answer in cm3.
4 m
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