Level 3
An empty rectangular tank has a capacity of 90ℓ and a height of 50 cm. At 10 am, Tap A is turned on to fill the tank at a rate of 4ℓ per minute for 15 minutes. After 5 minutes, Tap B is turned on to drain water from the tank at a rate of 2ℓ per minute for 18 minutes. What is the height of the water level in the tank in the end? Express the answer in 1 decimal place.
3 m
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Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
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Level 3
The figure is not drawn to scale. Tank A measuring 40 cm by 30 cm by 20 cm is filled to the brim. When 35 of water was transferred from Tank A to Tank B, 1.8 litres of water overflowed. Tank B has a base area of 300 cm2. Find the height of Tank B.
Level 3
The figure is not drawn to scale. Tank A measuring 40 cm by 30 cm by 20 cm is filled to the brim. When 35 of water was transferred from Tank A to Tank B, 1.8 litres of water overflowed. Tank B has a base area of 300 cm2. Find the height of Tank B.
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Level 3
A rectangular tank was 45 filled with water. After 56 litres of water was poured out from the tank, it became 110 full. How many litres of water were there in the tank at first?
3 m
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Level 3
The figure is not drawn to scale. The tank was 23 filled with water to a height of 30 cm. When a rubber ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank. Find the volume of the rubber ball.
Level 3
The figure is not drawn to scale. The tank was 23 filled with water to a height of 30 cm. When a rubber ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank. Find the volume of the rubber ball.
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Level 2
The width and height of the cuboid are the same. Its length is twice of its width. Find the volume of the cuboid.
Level 2
The width and height of the cuboid are the same. Its length is twice of its width. Find the volume of the cuboid.
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Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release
14 of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.
- What is the length of Tank A?
- How many m3 of water are there in Tank B?
Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release
14 of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.
- What is the length of Tank A?
- How many m3 of water are there in Tank B?
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Level 3
A tank, 110 cm by 100 cm by 70 cm, was completely filled with water. It was used to fill 16 bottles, each 3 litres in capacity. What was the height of the water left in the tank after all the bottles were filled. Round off to whole number.
3 m
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Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m
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Level 3
34 of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?
3 m
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Level 3 PSLE
A and B are two rectangular tanks. The base area of A is 80 cm
2 while that of B is 50 cm
2 . At first, A contained water to a height of 40 cm and B was empty, as shown.
- What was the volume of the water in A at first?
- Rashid then poured some water from A to B. After that, the height of the water level in A was twice that in B. What was the new height of the water level in A? Round off the answer to 1 decimal place.
Level 3 PSLE
A and B are two rectangular tanks. The base area of A is 80 cm
2 while that of B is 50 cm
2 . At first, A contained water to a height of 40 cm and B was empty, as shown.
- What was the volume of the water in A at first?
- Rashid then poured some water from A to B. After that, the height of the water level in A was twice that in B. What was the new height of the water level in A? Round off the answer to 1 decimal place.
Image in this question is not available.
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
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Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
3 m
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Level 3
The area of one face of the wooden cube is 3600 cm2. A carpenter cut the wooden cube into three cuboids of identical size. After gluing the cuboids together to make a solid figure as shown, he painted all the surfaces of the solid figure red. What was the total surface area of the solid figure that had been painted red?
Level 3
The area of one face of the wooden cube is 3600 cm2. A carpenter cut the wooden cube into three cuboids of identical size. After gluing the cuboids together to make a solid figure as shown, he painted all the surfaces of the solid figure red. What was the total surface area of the solid figure that had been painted red?
Image in this question is not available.
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 solid figure is made up of 3-cm cubes.
- Find its volume.
- If the solid figure is placed on the floor and some paint is poured onto the solid figure such that all the exposed sides are coated with paint, how many cubes will have only two of its faces covered with paint?
Level 3
The solid figure is made up of 3-cm cubes.
- Find its volume.
- If the solid figure is placed on the floor and some paint is poured onto the solid figure such that all the exposed sides are coated with paint, how many cubes will have only two of its faces covered with paint?
Image in this question is not available.
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?
Image in this question is not available.
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.
Image in this question is not available.
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.
Image in this question is not available.
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.
Image in this question is not available.
