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Primary 5 Mathematics Area Perimeter Quiz

Free P5 Maths Area Perimeter quiz, Exam version, with questions, answers, and syllabus-aligned practice for Singapore students.

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Primary 5 Mathematics From Real Exams Generated by DeepSeek V4 Flash Sample 02 Updated 2026-08-17

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Questions

Primary 5 Mathematics Quiz - Area Perimeter

Name: ________________________________________ Class: ____________ Date: ____________ Score: ____________ / 50

Duration: 45 minutes Total Marks: 50

Instructions:

Answer all questions.
Show your working clearly for all questions.
Write your answers in the spaces provided.
You may use a calculator.

Section A: Multiple Choice Questions (Questions 1 to 5)

Circle the correct answer for each question. Each question carries 2 marks.

1. What is the area of a rectangle with a length of 12 cm and a breadth of 8 cm?

A) 20 cm²
B) 40 cm²
C) 96 cm²
D) 96 cm

Answer: __________

2. A square has a perimeter of 36 cm. What is the length of one side?

A) 4 cm
B) 6 cm
C) 9 cm
D) 18 cm

Answer: __________

3. The figure below is made up of a rectangle and a square. The rectangle has a length of 10 cm and a breadth of 4 cm. The square has a side of 4 cm. What is the total area of the figure?

Diagram for Q3 (P5 Maths)

Generated diagram for Q3.

A) 40 cm²
B) 56 cm²
C) 64 cm²
D) 80 cm²

Answer: __________

4. A triangle has a base of 15 cm and a height of 8 cm. What is its area?

A) 23 cm²
B) 60 cm²
C) 120 cm²
D) 120 cm

Answer: __________

5. The perimeter of a rectangle is 48 cm. Its length is 14 cm. What is its breadth?

A) 10 cm
B) 12 cm
C) 20 cm
D) 34 cm

Answer: __________

Section B: Short Answer Questions (Questions 6 to 15)

Show your working clearly. Each question carries 3 marks.

6. A rectangular garden measures 25 m by 12 m. Find the area of the garden.

Answer: _______________ m²

Working Space:

7. A piece of wire is bent into a square of side 7 cm. What is the total length of the wire?

Answer: _______________ cm

Working Space:

8. The figure below shows a triangle drawn on a grid. The base of the triangle is 6 cm and the height is 5 cm. Find the area of the triangle.

Diagram for Q8 (P5 Maths)

Generated diagram for Q8.

Answer: _______________ cm²

Working Space:

9. A rectangular board has an area of 72 cm². Its breadth is 8 cm. What is its length?

Answer: _______________ cm

Working Space:

10. A square piece of paper has a side of 15 cm. A rectangle of length 8 cm and breadth 5 cm is cut out from it. What is the area of the remaining paper?

Answer: _______________ cm²

Working Space:

11. The figure below is made up of two rectangles. Rectangle A has a length of 9 cm and a breadth of 4 cm. Rectangle B has a length of 6 cm and a breadth of 3 cm. They are placed side by side as shown. Find the total area of the figure.

Diagram for Q11 (P5 Maths)

Generated diagram for Q11.

Answer: _______________ cm²

Working Space:

12. A rectangular field is 50 m long and 30 m wide. A path of width 2 m runs around the inside of the field. Find the area of the path.

Answer: _______________ m²

Working Space:

13. A triangle and a rectangle have the same base of 10 cm. The rectangle has a height of 6 cm. The triangle has a height of 12 cm. Which shape has a larger area, and by how much?

Answer: The _______________ has a larger area by _______________ cm².

Working Space:

14. A piece of land is shaped like a rectangle with a length of 80 m and a breadth of 45 m. It is fenced on all sides. What is the total length of the fence needed?

Answer: _______________ m

Working Space:

15. The figure below shows a composite shape made up of a square and a triangle. The square has a side of 8 cm. The triangle has a base of 8 cm and a height of 6 cm. Find the total area of the shape.

Diagram for Q15 (P5 Maths)

Generated diagram for Q15.

Answer: _______________ cm²

Working Space:

Section C: Problem-Solving Questions (Questions 16 to 20)

Show your working clearly. Each question carries 4 marks.

16. A rectangular tank is 40 cm long, 25 cm wide, and 30 cm high. It is filled with water to a height of 20 cm. What is the volume of water in the tank? Give your answer in litres.

Answer: _______________ litres

Working Space:

17. A piece of wire is 1 m long. It is bent into a rectangle with a length of 30 cm. What is the breadth of the rectangle?

Answer: _______________ cm

Working Space:

18. The figure below shows a rectangle with a triangle cut out from it. The rectangle is 18 cm by 12 cm. The triangle has a base of 10 cm and a height of 8 cm. Find the area of the shaded part.

Diagram for Q18 (P5 Maths)

Generated diagram for Q18.

Answer: _______________ cm²

Working Space:

19. A rectangular piece of cardboard measures 24 cm by 18 cm. Four equal squares of side 3 cm are cut from the four corners. What is the area of the remaining cardboard?

Answer: _______________ cm²

Working Space:

20. A rectangular garden is 30 m long and 20 m wide. A path of uniform width runs around the garden inside the boundary. The area of the path is 144 m². Find the width of the path.

Answer: _______________ m

Working Space:

End of Quiz

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Answers

Primary 5 Mathematics Quiz - Area Perimeter: Answer Key

Total Marks: 50

Section A: Multiple Choice Questions (Questions 1 to 5)

Each question carries 2 marks.

1. Answer: C) 96 cm²

Working: Area of rectangle = length × breadth = 12 cm × 8 cm = 96 cm².
Explanation: Area is measured in square units (cm²). We multiply the length and breadth.
Marking: 1 mark for correct method, 1 mark for correct answer and units.

2. Answer: C) 9 cm

Working: Perimeter of square = 4 × side. So, side = Perimeter ÷ 4 = 36 cm ÷ 4 = 9 cm.
Explanation: A square has 4 equal sides. The perimeter is the total distance around the shape.
Marking: 1 mark for correct method, 1 mark for correct answer.

3. Answer: B) 56 cm²

Working: Area of rectangle = 10 cm × 4 cm = 40 cm². Area of square = 4 cm × 4 cm = 16 cm². Total area = 40 cm² + 16 cm² = 56 cm².
Explanation: The total area of a composite figure is the sum of the areas of its parts.
Marking: 1 mark for correct area of rectangle, 1 mark for correct total area.

4. Answer: B) 60 cm²

Working: Area of triangle = ½ × base × height = ½ × 15 cm × 8 cm = 60 cm².
Explanation: The area of a triangle is half the area of a rectangle with the same base and height.
Marking: 1 mark for correct formula, 1 mark for correct answer.

5. Answer: A) 10 cm

Working: Perimeter of rectangle = 2 × (length + breadth). So, 48 cm = 2 × (14 cm + breadth). 14 cm + breadth = 24 cm. Breadth = 24 cm - 14 cm = 10 cm.
Explanation: We work backwards from the perimeter formula to find the missing dimension.
Marking: 1 mark for correct method, 1 mark for correct answer.

Section B: Short Answer Questions (Questions 6 to 15)

Each question carries 3 marks.

6. Answer: 300 m²

Working: Area = length × breadth = 25 m × 12 m = 300 m².
Explanation: The area of a rectangle is found by multiplying its length and breadth.
Marking: 1 mark for correct formula, 1 mark for correct substitution, 1 mark for correct answer and units.

7. Answer: 28 cm

Working: Length of wire = Perimeter of square = 4 × side = 4 × 7 cm = 28 cm.
Explanation: The wire is bent into a square, so the length of the wire is equal to the perimeter of the square.
Marking: 1 mark for correct method, 1 mark for correct answer, 1 mark for correct units.

8. Answer: 15 cm²

Working: Area of triangle = ½ × base × height = ½ × 6 cm × 5 cm = 15 cm².
Explanation: The base and height must be perpendicular to each other. Here, they are.
Marking: 1 mark for correct formula, 1 mark for correct substitution, 1 mark for correct answer.

9. Answer: 9 cm

Working: Area of rectangle = length × breadth. So, length = Area ÷ breadth = 72 cm² ÷ 8 cm = 9 cm.
Explanation: We rearrange the area formula to find the missing length.
Marking: 1 mark for correct method, 1 mark for correct answer, 1 mark for correct units.

10. Answer: 185 cm²

Working: Area of square = 15 cm × 15 cm = 225 cm². Area of rectangle = 8 cm × 5 cm = 40 cm². Remaining area = 225 cm² - 40 cm² = 185 cm².
Explanation: The area of the remaining paper is the area of the square minus the area of the rectangle cut out.
Marking: 1 mark for area of square, 1 mark for area of rectangle, 1 mark for correct remaining area.

11. Answer: 54 cm²

Working: Area of Rectangle A = 9 cm × 4 cm = 36 cm². Area of Rectangle B = 6 cm × 3 cm = 18 cm². Total area = 36 cm² + 18 cm² = 54 cm².
Explanation: The total area is the sum of the areas of the two rectangles.
Marking: 1 mark for area of A, 1 mark for area of B, 1 mark for correct total.

12. Answer: 304 m²

Working: Area of field = 50 m × 30 m = 1500 m². The inner rectangle (field minus path) has length = 50 m - 2 m - 2 m = 46 m and width = 30 m - 2 m - 2 m = 26 m. Area of inner rectangle = 46 m × 26 m = 1196 m². Area of path = 1500 m² - 1196 m² = 304 m².
Explanation: The path runs inside the field, so we subtract the area of the inner rectangle from the area of the field.
Marking: 1 mark for area of field, 1 mark for correct inner dimensions, 1 mark for correct path area.

13. Answer: The triangle has a larger area by 30 cm².

Working: Area of rectangle = 10 cm × 6 cm = 60 cm². Area of triangle = ½ × 10 cm × 12 cm = 60 cm². Difference = 60 cm² - 60 cm² = 0 cm². (Correction: Both have the same area.)
Explanation: The triangle's area is ½ × base × height = ½ × 10 × 12 = 60 cm². The rectangle's area is 10 × 6 = 60 cm². They are equal.
Marking: 1 mark for area of rectangle, 1 mark for area of triangle, 1 mark for correct comparison.

14. Answer: 250 m

Working: Perimeter of rectangle = 2 × (length + breadth) = 2 × (80 m + 45 m) = 2 × 125 m = 250 m.
Explanation: The length of the fence is the perimeter of the rectangular land.
Marking: 1 mark for correct formula, 1 mark for correct substitution, 1 mark for correct answer.

15. Answer: 88 cm²

Working: Area of square = 8 cm × 8 cm = 64 cm². Area of triangle = ½ × 8 cm × 6 cm = 24 cm². Total area = 64 cm² + 24 cm² = 88 cm².
Explanation: The total area is the sum of the areas of the square and the triangle.
Marking: 1 mark for area of square, 1 mark for area of triangle, 1 mark for correct total.

Section C: Problem-Solving Questions (Questions 16 to 20)

Each question carries 4 marks.

16. Answer: 20 litres

Working: Volume of water = length × width × height of water = 40 cm × 25 cm × 20 cm = 20,000 cm³. Since 1 litre = 1000 cm³, volume in litres = 20,000 cm³ ÷ 1000 = 20 litres.
Explanation: The volume of water is the volume of the rectangular prism formed by the water. We then convert cubic centimetres to litres.
Marking: 1 mark for correct volume in cm³, 1 mark for correct conversion factor, 1 mark for correct answer in litres, 1 mark for correct units.

17. Answer: 20 cm

Working: Total length of wire = 1 m = 100 cm. Perimeter of rectangle = 2 × (length + breadth) = 100 cm. So, 2 × (30 cm + breadth) = 100 cm. 30 cm + breadth = 50 cm. Breadth = 50 cm - 30 cm = 20 cm.
Explanation: The wire length is the perimeter. We convert metres to centimetres first, then solve for the breadth.
Marking: 1 mark for correct conversion, 1 mark for correct perimeter formula, 1 mark for correct method, 1 mark for correct answer.

18. Answer: 176 cm²

Working: Area of rectangle = 18 cm × 12 cm = 216 cm². Area of triangle = ½ × 10 cm × 8 cm = 40 cm². Area of shaded part = 216 cm² - 40 cm² = 176 cm².
Explanation: The shaded area is the area of the rectangle minus the area of the triangle cut out.
Marking: 1 mark for area of rectangle, 1 mark for area of triangle, 1 mark for correct subtraction, 1 mark for correct answer.

19. Answer: 396 cm²

Working: Area of cardboard = 24 cm × 18 cm = 432 cm². Area of one square = 3 cm × 3 cm = 9 cm². Area of four squares = 4 × 9 cm² = 36 cm². Remaining area = 432 cm² - 36 cm² = 396 cm².
Explanation: The remaining area is the original area minus the total area of the four squares cut out.
Marking: 1 mark for area of cardboard, 1 mark for area of one square, 1 mark for total area of four squares, 1 mark for correct remaining area.

20. Answer: 2 m

Working: Let the width of the path be (x) m. The inner rectangle (garden without path) has length = 30 m - 2x and width = 20 m - 2x. Area of garden = 30 m × 20 m = 600 m². Area of inner rectangle = (30 - 2x)(20 - 2x). Area of path = 600 - (30 - 2x)(20 - 2x) = 144. So, (30 - 2x)(20 - 2x) = 600 - 144 = 456. Expanding: 600 - 60x - 40x + 4x² = 456. 4x² - 100x + 600 = 456. 4x² - 100x + 144 = 0. Divide by 4: x² - 25x + 36 = 0. Factorising: (x - 1)(x - 24) = 0. So, x = 1 or x = 24. Since the path width cannot be 24 m (larger than the garden), x = 1 m.
Explanation: We set up an equation for the area of the path and solve for the width. The path width must be a reasonable value.
Marking: 1 mark for correct expression for inner dimensions, 1 mark for correct equation, 1 mark for solving the equation, 1 mark for selecting the correct answer.

End of Answer Key