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Primary 6 PSLE Mathematics Volume Quiz

Free P6 PSLE Maths Volume quiz, Exam version, with questions, answers, and PSLE-focused practice for Singapore students.

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Primary 6 PSLE Mathematics From Real Exams Generated by DeepSeek V4 Flash Sample 01 Updated 2026-08-17

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Questions

Primary 6 PSLE Mathematics Quiz - Volume

Name: _________________________ Class: _________________________ Date: _________________________ Score: ________ / 40

Duration: 45 minutes Total Marks: 40

Instructions:

Answer all questions.
Show your working clearly in the spaces provided.
Write your final answer in the box provided for each question.
You may use a calculator.

Section A: Multiple Choice Questions (5 Questions x 2 marks = 10 marks)

Circle the correct answer for each question.

1. A cuboid has a volume of 120 cm³. Its length is 8 cm and its width is 5 cm. What is its height?

A) 2 cm
B) 3 cm
C) 4 cm
D) 5 cm

Answer: ________

2. A cube has a volume of 64 cm³. What is the length of one edge of the cube?

A) 4 cm
B) 6 cm
C) 8 cm
D) 16 cm

Answer: ________

3. A rectangular tank measures 50 cm by 30 cm by 40 cm. What is its volume in litres? (1 litre = 1000 cm³)

A) 6 litres
B) 60 litres
C) 600 litres
D) 6000 litres

Answer: ________

4. The volume of a cuboid is 240 cm³. Its base area is 60 cm². What is its height?

A) 2 cm
B) 3 cm
C) 4 cm
D) 5 cm

Answer: ________

5. A cuboid has a square base of side 6 cm. Its volume is 216 cm³. What is its height?

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

Answer: ________

Section B: Short Answer Questions (10 Questions x 2 marks = 20 marks)

Show your working and write your answer in the box.

6. A rectangular tank is 25 cm long, 20 cm wide and 15 cm high. Find the volume of the tank.

Working:

Answer: ________ cm³

7. A cube has an edge length of 9 cm. Find its volume.

Working:

Answer: ________ cm³

8. The volume of a cuboid is 360 cm³. Its length is 12 cm and its height is 5 cm. Find its width.

Working:

Answer: ________ cm

9. A rectangular tank measures 40 cm by 25 cm by 30 cm. How many litres of water can it hold? (1 litre = 1000 cm³)

Working:

Answer: ________ litres

10. A cuboid has a volume of 480 cm³. Its base area is 80 cm². Find its height.

Working:

Answer: ________ cm

11. A cube has a volume of 125 cm³. Find the length of one edge of the cube.

Working:

Answer: ________ cm

12. A rectangular tank is 60 cm long, 40 cm wide and 50 cm high. It is filled with water to a height of 35 cm. Find the volume of water in the tank.

Working:

Answer: ________ cm³

13. A cuboid has a square base. The side of the square base is 8 cm. The volume of the cuboid is 448 cm³. Find its height.

Working:

Answer: ________ cm

14. A rectangular tank measures 30 cm by 20 cm by 25 cm. It is completely filled with water. All the water is poured into another tank with a base area of 500 cm². Find the height of the water in the second tank.

Working:

Answer: ________ cm

15. A cuboid has a volume of 600 cm³. Its length is 15 cm and its width is 8 cm. Find its height.

Working:

Answer: ________ cm

Section C: Problem-Solving Questions (5 Questions x 2 marks = 10 marks)

Show your working clearly. Write your final answer in the box.

16. A rectangular tank is 80 cm long, 50 cm wide and 60 cm high. It is filled with water to a height of 45 cm. A metal cube of edge 10 cm is placed into the tank and it sinks to the bottom. What is the new height of the water in the tank?

Working:

Answer: ________ cm

17. A rectangular tank measuring 40 cm by 30 cm by 25 cm is completely filled with water. Water is then poured out into a cuboid container with a base area of 600 cm² until the water level in the container is 15 cm high. What is the volume of water left in the rectangular tank?

Working:

Answer: ________ cm³

18. A cuboid has a volume of 720 cm³. Its length is 12 cm and its width is 10 cm. A cube is cut from the cuboid. The cube has the same height as the cuboid. Find the volume of the cube.

Working:

Answer: ________ cm³

19. A rectangular tank is 50 cm long, 40 cm wide and 30 cm high. It is filled with water to a height of 20 cm. A metal block of volume 4000 cm³ is placed into the tank and it sinks to the bottom. Find the new height of the water in the tank.

Working:

Answer: ________ cm

20. A rectangular tank measures 60 cm by 45 cm by 35 cm. It is filled with water to a height of 28 cm. A metal cube of edge 15 cm is placed into the tank and it sinks to the bottom. Find the new height of the water in the tank.

Working:

Answer: ________ cm

End of Quiz

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Answers

Primary 6 PSLE Mathematics Quiz - Volume (Answer Key)

Total Marks: 40

Section A: Multiple Choice Questions (5 Questions x 2 marks = 10 marks)

1. Answer: B) 3 cm

Working: Volume = length × width × height. So, height = Volume ÷ (length × width) = 120 ÷ (8 × 5) = 120 ÷ 40 = 3 cm.
Marking: 1 mark for correct method, 1 mark for correct answer.
Common Mistake: Students may forget to multiply length and width first before dividing.

2. Answer: A) 4 cm

Working: Volume of a cube = edge × edge × edge = edge³. So, edge = ∛Volume = ∛64 = 4 cm.
Marking: 1 mark for correct method, 1 mark for correct answer.
Teaching Note: The cube root (∛) is the inverse operation of cubing a number. Since 4 × 4 × 4 = 64, the edge length is 4 cm.

3. Answer: B) 60 litres

Working: Volume = 50 × 30 × 40 = 60,000 cm³. Since 1 litre = 1000 cm³, volume in litres = 60,000 ÷ 1000 = 60 litres.
Marking: 1 mark for correct volume in cm³, 1 mark for correct conversion to litres.
Common Mistake: Students may forget to divide by 1000 or may divide incorrectly.

4. Answer: C) 4 cm

Working: Volume = base area × height. So, height = Volume ÷ base area = 240 ÷ 60 = 4 cm.
Marking: 1 mark for correct method, 1 mark for correct answer.
Teaching Note: The base area is the area of the bottom face of the cuboid. Multiplying base area by height gives the volume.

5. Answer: C) 6 cm

Working: Volume = base area × height. Base area = 6 × 6 = 36 cm². Height = Volume ÷ base area = 216 ÷ 36 = 6 cm.
Marking: 1 mark for correct base area, 1 mark for correct height.
Common Mistake: Students may forget to calculate the base area first.

Section B: Short Answer Questions (10 Questions x 2 marks = 20 marks)

6. Answer: 7500 cm³

Working: Volume = 25 × 20 × 15 = 7500 cm³.
Marking: 1 mark for correct method, 1 mark for correct answer.
Teaching Note: Volume of a rectangular prism (cuboid) is length × width × height.

7. Answer: 729 cm³

Working: Volume = 9 × 9 × 9 = 729 cm³.
Marking: 1 mark for correct method, 1 mark for correct answer.
Teaching Note: A cube is a special cuboid where all edges are equal.

8. Answer: 6 cm

Working: Volume = length × width × height. So, width = Volume ÷ (length × height) = 360 ÷ (12 × 5) = 360 ÷ 60 = 6 cm.
Marking: 1 mark for correct method, 1 mark for correct answer.
Common Mistake: Students may divide by only one dimension instead of both.

9. Answer: 30 litres

Working: Volume = 40 × 25 × 30 = 30,000 cm³. Volume in litres = 30,000 ÷ 1000 = 30 litres.
Marking: 1 mark for correct volume in cm³, 1 mark for correct conversion.
Teaching Note: Remember the conversion: 1 litre = 1000 cm³.

10. Answer: 6 cm

Working: Height = Volume ÷ base area = 480 ÷ 80 = 6 cm.
Marking: 1 mark for correct method, 1 mark for correct answer.
Teaching Note: This is a direct application of the formula: Volume = Base Area × Height.

11. Answer: 5 cm

Working: Edge = ∛125 = 5 cm (since 5 × 5 × 5 = 125).
Marking: 1 mark for correct method, 1 mark for correct answer.
Teaching Note: The cube root of a number is the value that, when multiplied by itself three times, gives the original number.

12. Answer: 84,000 cm³

Working: Volume of water = 60 × 40 × 35 = 84,000 cm³.
Marking: 1 mark for correct method, 1 mark for correct answer.
Common Mistake: Students may use the full height of the tank (50 cm) instead of the water height (35 cm).

13. Answer: 7 cm

Working: Base area = 8 × 8 = 64 cm². Height = Volume ÷ base area = 448 ÷ 64 = 7 cm.
Marking: 1 mark for correct base area, 1 mark for correct height.
Teaching Note: A square base means the length and width are equal.

14. Answer: 30 cm

Working: Volume of water = 30 × 20 × 25 = 15,000 cm³. Height in second tank = Volume ÷ base area = 15,000 ÷ 500 = 30 cm.
Marking: 1 mark for correct volume, 1 mark for correct height.
Teaching Note: When water is poured from one container to another, the volume of water remains the same.

15. Answer: 5 cm

Working: Height = Volume ÷ (length × width) = 600 ÷ (15 × 8) = 600 ÷ 120 = 5 cm.
Marking: 1 mark for correct method, 1 mark for correct answer.
Common Mistake: Students may forget to multiply length and width first.

Section C: Problem-Solving Questions (5 Questions x 2 marks = 10 marks)

16. Answer: 45.25 cm

Working:
- Volume of water = 80 × 50 × 45 = 180,000 cm³.
- Volume of cube = 10 × 10 × 10 = 1000 cm³.
- Total volume of water and cube = 180,000 + 1000 = 181,000 cm³.
- Base area of tank = 80 × 50 = 4000 cm².
- New height = 181,000 ÷ 4000 = 45.25 cm.
Marking: 1 mark for correct total volume, 1 mark for correct new height.
Teaching Note: When an object is submerged, it displaces its own volume of water, causing the water level to rise.

17. Answer: 21,000 cm³

Working:
- Volume of water in rectangular tank = 40 × 30 × 25 = 30,000 cm³.
- Volume of water poured out = 600 × 15 = 9000 cm³.
- Volume of water left = 30,000 - 9000 = 21,000 cm³.
Marking: 1 mark for correct initial volume, 1 mark for correct remaining volume.
Common Mistake: Students may forget to subtract the poured-out water.

18. Answer: 216 cm³

Working:
- Height of cuboid = Volume ÷ (length × width) = 720 ÷ (12 × 10) = 720 ÷ 120 = 6 cm.
- The cube has the same height as the cuboid, so its edge length is 6 cm.
- Volume of cube = 6 × 6 × 6 = 216 cm³.
Marking: 1 mark for correct height of cuboid, 1 mark for correct volume of cube.
Teaching Note: The cube's edge length is equal to the height of the cuboid because it is cut from the cuboid and has the same height.

19. Answer: 22 cm

Working:
- Volume of water = 50 × 40 × 20 = 40,000 cm³.
- Total volume of water and block = 40,000 + 4000 = 44,000 cm³.
- Base area of tank = 50 × 40 = 2000 cm².
- New height = 44,000 ÷ 2000 = 22 cm.
Marking: 1 mark for correct total volume, 1 mark for correct new height.
Teaching Note: The increase in water height is due to the volume of the submerged block.

20. Answer: 28.75 cm

Working:
- Volume of water = 60 × 45 × 28 = 75,600 cm³.
- Volume of cube = 15 × 15 × 15 = 3375 cm³.
- Total volume of water and cube = 75,600 + 3375 = 78,975 cm³.
- Base area of tank = 60 × 45 = 2700 cm².
- New height = 78,975 ÷ 2700 = 29.25 cm.
Marking: 1 mark for correct total volume, 1 mark for correct new height.
Common Mistake: Students may forget to add the volume of the cube to the volume of water.