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Primary 6 PSLE Mathematics Volume Quiz

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Primary 6 PSLE Mathematics From Real Exams Generated by DeepSeek V4 Flash Sample 02 Updated 2026-08-17

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Questions

Primary 6 PSLE Mathematics Quiz - Volume

Name: _________________________________________ Class: _________________________________________ Date: _________________________________________ Score: ________ / 60

Duration: 1 hour 15 minutes Total Marks: 60

Instructions:

Answer all questions.
Show your working clearly for all questions.
Write your answers in the spaces provided.
You may use a calculator.
Diagrams are not drawn to scale unless stated otherwise.

Section A: Multiple-Choice Questions (10 marks)

Questions 1 to 5 carry 2 marks each. Choose the correct answer and write its letter in the box.

1. A rectangular tank measures 25 cm by 20 cm by 15 cm. What is its volume in litres?

(A) 7.5 litres (B) 75 litres (C) 750 litres (D) 7500 litres

Answer: [ ]

2. A cube has a volume of 216 cm³. What is the length of one edge of the cube?

(A) 4 cm (B) 6 cm (C) 8 cm (D) 12 cm

Answer: [ ]

3. The base area of a cuboid is 48 cm². Its volume is 240 cm³. What is its height?

(A) 4 cm (B) 5 cm (C) 6 cm (D) 8 cm

Answer: [ ]

4. A rectangular tank is 30 cm long, 20 cm wide, and contains water to a depth of 12 cm. What is the volume of water in the tank?

(A) 600 cm³ (B) 720 cm³ (C) 6000 cm³ (D) 7200 cm³

Answer: [ ]

5. A cuboid has a volume of 360 cm³. Its length is 12 cm and its width is 5 cm. What is its height?

(A) 4 cm (B) 5 cm (C) 6 cm (D) 7 cm

Answer: [ ]

Section B: Short-Answer Questions (20 marks)

Questions 6 to 15 carry 2 marks each. Show your working clearly.

6. A rectangular tank measures 40 cm by 25 cm by 30 cm. How many litres of water can it hold when completely full?

7. A cube has a volume of 512 cm³. Find the length of one edge of the cube.

8. The volume of a cuboid is 480 cm³. Its base area is 80 cm². Find its height.

9. A rectangular tank is 50 cm long and 30 cm wide. It contains 36 litres of water. Find the depth of water in the tank.

10. A cuboid has a volume of 720 cm³. Its length is 12 cm and its height is 8 cm. Find its width.

11. A rectangular tank measures 60 cm by 40 cm by 35 cm. It is filled with water to a height of 25 cm. What is the volume of water in the tank in litres?

12. A solid cube of side 8 cm is cut into smaller cubes of side 2 cm. How many smaller cubes are there?

13. A rectangular tank is 45 cm long, 25 cm wide, and 20 cm high. It is half-filled with water. What is the volume of water in the tank?

14. A cuboid has a volume of 1000 cm³. Its length is 20 cm and its width is 10 cm. Find its height.

15. A rectangular tank measures 36 cm by 24 cm by 18 cm. How many litres of water can it hold when completely full?

Section C: Problem-Solving Questions (30 marks)

Questions 16 to 20 carry 6 marks each. Show your working clearly and write your answers in the spaces provided.

16. A rectangular tank measuring 50 cm by 40 cm by 30 cm is completely filled with water. All the water is poured into another rectangular tank measuring 60 cm by 40 cm. What is the depth of water in the second tank?

17. A rectangular tank is 80 cm long and 50 cm wide. It contains water to a depth of 15 cm. A metal cube of side 10 cm is placed into the tank and it sinks to the bottom. The water level rises. Find the new depth of water in the tank.

18. A rectangular tank measuring 60 cm by 40 cm by 25 cm is filled with water. A tap is turned on and water flows out at a rate of 2 litres per minute. How long will it take for the tank to be completely empty? Give your answer in minutes.

19. A rectangular tank is 70 cm long and 40 cm wide. It contains 84 litres of water. A metal block is placed into the tank and it sinks to the bottom. The water level rises by 5 cm. Find the volume of the metal block.

20. A rectangular tank measuring 90 cm by 60 cm by 50 cm is filled with water. A tap is turned on and water flows into the tank at a rate of 3 litres per minute. At the same time, another tap is turned on and water flows out of the tank at a rate of 1.5 litres per minute. How long will it take for the tank to be completely filled? Give your answer in minutes.

End of Quiz

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Answers

Answer Key: Primary 6 PSLE Mathematics Quiz - Volume

Total Marks: 60

Section A: Multiple-Choice Questions (10 marks)

1. (A) 7.5 litres [2 marks]

Working: Volume = 25 cm × 20 cm × 15 cm = 7500 cm³. Since 1 litre = 1000 cm³, 7500 cm³ ÷ 1000 = 7.5 litres.
Teaching Note: Remember that volume in cm³ can be converted to litres by dividing by 1000. The formula for volume of a cuboid is length × width × height.
Common Mistake: Forgetting to convert cm³ to litres or dividing by the wrong conversion factor.

2. (B) 6 cm [2 marks]

Working: Volume of a cube = side³. So, side = ∛(216) = 6 cm.
Teaching Note: The cube root (∛) is the inverse operation of cubing. Since 6 × 6 × 6 = 216, the side length is 6 cm.
Common Mistake: Confusing cube root with square root.

3. (B) 5 cm [2 marks]

Working: Volume = base area × height. So, height = volume ÷ base area = 240 cm³ ÷ 48 cm² = 5 cm.
Teaching Note: The formula V = l × w × h can be rearranged. Since base area = l × w, we have V = base area × h. So h = V ÷ base area.
Common Mistake: Using the wrong formula or forgetting to divide.

4. (D) 7200 cm³ [2 marks]

Working: Volume of water = length × width × depth = 30 cm × 20 cm × 12 cm = 7200 cm³.
Teaching Note: The volume of water in a tank is calculated using the same formula as the tank's volume, but using the depth of the water instead of the height of the tank.
Common Mistake: Using the height of the tank instead of the depth of water.

5. (C) 6 cm [2 marks]

Working: Volume = length × width × height. So, height = volume ÷ (length × width) = 360 cm³ ÷ (12 cm × 5 cm) = 360 ÷ 60 = 6 cm.
Teaching Note: When finding a missing dimension, divide the volume by the product of the other two known dimensions.
Common Mistake: Forgetting to multiply length and width first before dividing.

Section B: Short-Answer Questions (20 marks)

6. 30 litres [2 marks]

Working: Volume = 40 cm × 25 cm × 30 cm = 30000 cm³. 30000 cm³ ÷ 1000 = 30 litres.
Teaching Note: Always check if the answer needs to be in litres. Remember 1 litre = 1000 cm³.
Marking: 1 mark for correct volume in cm³, 1 mark for correct conversion to litres.

7. 8 cm [2 marks]

Working: ∛512 = 8 cm. Check: 8 × 8 × 8 = 512.
Teaching Note: Practice recognizing perfect cubes: 1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216, 7³=343, 8³=512, 9³=729, 10³=1000.
Marking: 1 mark for correct method, 1 mark for correct answer.

8. 6 cm [2 marks]

Working: Height = volume ÷ base area = 480 cm³ ÷ 80 cm² = 6 cm.
Teaching Note: Base area is the area of the bottom face (length × width).
Marking: 1 mark for correct formula, 1 mark for correct answer.

9. 24 cm [2 marks]

Working: Volume of water = 36 litres = 36000 cm³. Depth = volume ÷ (length × width) = 36000 ÷ (50 × 30) = 36000 ÷ 1500 = 24 cm.
Teaching Note: First convert litres to cm³ by multiplying by 1000. Then use the formula depth = volume ÷ (length × width).
Marking: 1 mark for correct conversion, 1 mark for correct answer.

10. 7.5 cm [2 marks]

Working: Width = volume ÷ (length × height) = 720 ÷ (12 × 8) = 720 ÷ 96 = 7.5 cm.
Teaching Note: The formula can be rearranged to find any missing dimension. Width = V ÷ (l × h).
Marking: 1 mark for correct method, 1 mark for correct answer.

11. 60 litres [2 marks]

Working: Volume of water = 60 cm × 40 cm × 25 cm = 60000 cm³. 60000 cm³ ÷ 1000 = 60 litres.
Teaching Note: Use the depth of water (25 cm), not the height of the tank (35 cm).
Marking: 1 mark for correct volume in cm³, 1 mark for correct conversion.

12. 64 cubes [2 marks]

Working: Volume of large cube = 8 cm × 8 cm × 8 cm = 512 cm³. Volume of small cube = 2 cm × 2 cm × 2 cm = 8 cm³. Number of cubes = 512 ÷ 8 = 64.
Teaching Note: Alternatively, the number of cubes along each edge is 8 ÷ 2 = 4. So total cubes = 4 × 4 × 4 = 64.
Marking: 1 mark for correct method, 1 mark for correct answer.

13. 11250 cm³ [2 marks]

Working: Volume of tank = 45 cm × 25 cm × 20 cm = 22500 cm³. Half-filled volume = 22500 ÷ 2 = 11250 cm³.
Teaching Note: "Half-filled" means the volume of water is half the total volume of the tank.
Marking: 1 mark for correct total volume, 1 mark for correct half volume.

14. 5 cm [2 marks]

Working: Height = volume ÷ (length × width) = 1000 ÷ (20 × 10) = 1000 ÷ 200 = 5 cm.
Teaching Note: Always check that your answer makes sense. A height of 5 cm with a base of 20 cm by 10 cm gives a volume of 1000 cm³.
Marking: 1 mark for correct method, 1 mark for correct answer.

15. 15.552 litres [2 marks]

Working: Volume = 36 cm × 24 cm × 18 cm = 15552 cm³. 15552 cm³ ÷ 1000 = 15.552 litres.
Teaching Note: The answer can be left as a decimal. Some questions may ask for the answer to be rounded.
Marking: 1 mark for correct volume in cm³, 1 mark for correct conversion.

Section C: Problem-Solving Questions (30 marks)

16. 25 cm [6 marks]

Working:
1. Volume of water in first tank = 50 cm × 40 cm × 30 cm = 60000 cm³.
2. The water is poured into the second tank. The volume remains the same.
3. Depth in second tank = volume ÷ (length × width) = 60000 ÷ (60 × 40) = 60000 ÷ 2400 = 25 cm.
Teaching Note: When water is poured from one container to another, the volume of water stays the same. Only the shape of the container changes.
Marking Scheme:
- 2 marks for correct volume of first tank
- marks for correct method to find depth
- 1 mark for correct answer
- Deduct 1 mark for missing or incorrect units

17. 17.5 cm [6 marks]

Working:
1. Volume of water initially = 80 cm × 50 cm × 15 cm = 60000 cm³.
2. Volume of metal cube = 10 cm × 10 cm × 10 cm = 1000 cm³.
3. When the cube is placed in the tank, it displaces its own volume of water. The water level rises.
4. Total volume of water + cube = 60000 + 1000 = 61000 cm³.
5. New depth = total volume ÷ (length × width) = 61000 ÷ (80 × 50) = 61000 ÷ 4000 = 15.25 cm.
Teaching Note: When an object is fully submerged, the water level rises by an amount equal to the volume of the object divided by the base area of the tank. The rise in water level = volume of object ÷ base area of tank = 1000 ÷ (80 × 50) = 1000 ÷ 4000 = 0.25 cm. So new depth = 15 + 0.25 = 15.25 cm.
Marking Scheme:
- 2 marks for correct initial water volume
- 2 marks for correct volume of cube
- 1 mark for correct method to find new depth
- 1 mark for correct answer

18. 30 minutes [6 marks]

Working:
1. Volume of tank = 60 cm × 40 cm × 25 cm = 60000 cm³.
2. Convert to litres: 60000 cm³ ÷ 1000 = 60 litres.
3. Time = volume ÷ rate = 60 litres ÷ 2 litres per minute = 30 minutes.
Teaching Note: Make sure the units are consistent. The volume is in cm³, but the flow rate is in litres per minute. Convert the volume to litres first.
Marking Scheme:
- 2 marks for correct volume in cm³
- 2 marks for correct conversion to litres
- 1 mark for correct method to find time
- 1 mark for correct answer

19. 14000 cm³ [6 marks]

Working:
1. Volume of water initially = 84 litres = 84000 cm³.
2. Base area of tank = 70 cm × 40 cm = 2800 cm².
3. When the metal block is placed in the tank, the water level rises by 5 cm.
4. The volume of the metal block is equal to the volume of water displaced, which is base area × rise in water level.
5. Volume of block = 2800 cm² × 5 cm = 14000 cm³.
Teaching Note: The rise in water level when an object is submerged is equal to the volume of the object divided by the base area of the container. So volume of object = base area × rise in water level.
Marking Scheme:
- 2 marks for correct base area
- 2 marks for correct conversion of litres to cm³ (or correct method without conversion)
- 1 mark for correct method
- 1 mark for correct answer

20. 150 minutes [6 marks]

Working:
1. Volume of tank = 90 cm × 60 cm × 50 cm = 270000 cm³.
2. Convert to litres: 270000 cm³ ÷ 1000 = 270 litres.
3. Net flow rate = inflow rate - outflow rate = 3 litres/min - 1.5 litres/min = 1.5 litres/min.
4. Time = volume ÷ net rate = 270 litres ÷ 1.5 litres per minute = 180 minutes.
Teaching Note: When there is both an inflow and an outflow, the net rate is the difference between the two rates. The tank fills up at the net rate.
Marking Scheme:
- 2 marks for correct volume in cm³
- 1 mark for correct conversion to litres
- 1 mark for correct net flow rate
- 1 mark for correct method to find time
- 1 mark for correct answer