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Primary 5 Mathematics Measurement Quiz
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Questions
Primary 5 Mathematics Quiz - Measurement
Name: ______________________________ Class: ______________________________ Date: ______________________________ Score: ____ / 40
Duration: 50 minutes Total Marks: 40
Instructions:
- Answer ALL questions.
- Show your working clearly in the space provided.
- Write your answers in the blanks where given.
- Do not use a calculator.
- Units must be stated where required for full marks.
Section A: Length, Mass and Capacity (10 marks)
Questions 1–5. Each question carries 2 marks.
1. Convert the following: (a) 3 km 450 m = _________ m (b) 5 kg 300 g = _________ g
2. A ribbon is 2.75 m long. Sarah cuts off 85 cm. What is the length of the remaining ribbon in metres?
3. A water tank contains 15 ℓ 600 mℓ of water. Express this volume in millilitres.
4. Arrange in order from lightest to heaviest: 4.2 kg, 3 kg 800 g, 4 150 g, 3 950 g
5. The mass of a bag of rice is 5 kg. The mass of a bag of flour is 2 kg 350 g. What is the total mass of 2 bags of rice and 3 bags of flour?
Section B: Area and Volume (15 marks)
Questions 6–15. Marks as indicated.
6. Find the area of a rectangle with length 12 cm and breadth 8 cm. (2 marks)
7. The area of a square is 144 cm². Find the length of one side. (2 marks)
8. A cube has an edge of 5 cm. Find its volume. (2 marks)
9. Find the volume of a cuboid with dimensions 9 cm by 6 cm by 4 cm. (2 marks)
10. A rectangular tank measures 50 cm by 30 cm by 40 cm. It is filled with water to a height of 25 cm. What is the volume of water in the tank in litres? (3 marks)
11. The base of a triangular prism is a triangle with base 8 cm and height 5 cm. The length of the prism is 10 cm. Find the volume of the prism. (4 marks)
Section C: Problem Solving — Measurement (15 marks)
Questions 16–20. Marks as indicated.
16. A rectangular field has a length of 45 m and a width of 28 m. Find the area of the field. If fencing costs $12 per metre, how much does it cost to fence the entire field? (3 marks)
17. A cuboidal container has internal dimensions 60 cm by 40 cm by 30 cm. It is being filled using a jug that holds 2 ℓ of water. How many full jugs are needed to fill the container completely? (3 marks)
18. The volume of a cube is 512 cm³. (a) Find the length of one edge of the cube. (2 marks) (b) Find the total surface area of the cube. (2 marks)
19. A rectangular tank 80 cm long and 50 cm wide contains 120 ℓ of water. What is the height of the water level in the tank? (3 marks)
20. A swimming pool measures 25 m by 15 m by 2 m. It is filled with water at a rate of 500 litres per minute. (a) Find the volume of the swimming pool in litres. (2 marks) (b) How long does it take to fill the pool completely? Give your answer in hours and minutes. (3 marks)
End of Quiz
Answers
Primary 5 Mathematics Quiz — Measurement
Answer Key
Section A: Length, Mass and Capacity
1. (a) 3 km 450 m = 3000 m + 450 m = 3450 m ✓ (1 mark) (b) 5 kg 300 g = 5000 g + 300 g = 5300 g ✓ (1 mark)
Common mistake: Forgetting that 1 km = 1000 m and 1 kg = 1000 g. Award 1 mark for each correct conversion.
2. 2.75 m = 275 cm 275 cm − 85 cm = 190 cm = 1.90 m (or 1.9 m) ✓
(1 mark) for correct conversion to cm. (1 mark) for correct answer in metres.
Common mistake: Subtracting without converting units. If student writes 2.75 − 85 = wrong, award 0 marks.
3. 15 ℓ 600 mℓ = 15 × 1000 mℓ + 600 mℓ = 15 000 mℓ + 600 mℓ = 15 600 mℓ ✓
(2 marks) for correct answer. (1 mark) for correct conversion step but arithmetic error.
4. Convert all to grams:
- 4.2 kg = 4200 g
- 3 kg 800 g = 3800 g
- 4 150 g = 4150 g
- 3 950 g = 3950 g
Order from lightest to heaviest: 3 kg 800 g, 3 950 g, 4 150 g, 4.2 kg ✓
(2 marks) for correct order. (1 mark) for correct conversion but wrong order.
5. Mass of 2 bags of rice = 2 × 5 kg = 10 kg Mass of 3 bags of flour = 3 × 2 kg 350 g = 6 kg 1050 g = 7 kg 50 g Total mass = 10 kg + 7 kg 50 g = 17 kg 50 g ✓
(1 mark) for finding mass of rice or flour correctly. (1 mark) for correct total.
Section B: Area and Volume
6. Area = length × breadth = 12 cm × 8 cm = 96 cm² ✓
(1 mark) for correct formula. (1 mark) for correct answer with unit.
7. Side² = 144 cm² Side = √144 = 12 cm ✓
(1 mark) for correct method (square root or factorisation). (1 mark) for correct answer with unit.
8. Volume of cube = edge × edge × edge = 5 cm × 5 cm × 5 cm = 125 cm³ ✓
(1 mark) for correct formula. (1 mark) for correct answer with unit.
9. Volume of cuboid = length × breadth × height = 9 cm × 6 cm × 4 cm = 216 cm³ ✓
(1 mark) for correct formula. (1 mark) for correct answer with unit.
10. Volume of water = 50 cm × 30 cm × 25 cm = 37 500 cm³ Since 1 ℓ = 1000 cm³: 37 500 cm³ = 37.5 ℓ ✓
(1 mark) for correct volume in cm³. (1 mark) for correct conversion to litres. (1 mark) for correct final answer with unit.
Common mistake: Using full height of tank (40 cm) instead of water height (25 cm). Award 1 mark for correct method with wrong height.
11. Area of triangular base = ½ × 8 cm × 5 cm = 20 cm² Volume of prism = base area × length = 20 cm² × 10 cm = 200 cm³ ✓
(1 mark) for correct area of triangle. (1 mark) for correct formula for volume of prism. (1 mark) for correct multiplication. (1 mark) for correct final answer with unit.
Section C: Problem Solving — Measurement
16. Area of field = 45 m × 28 m = 1260 m² Perimeter of field = 2 × (45 m + 28 m) = 2 × 73 m = 146 m Cost of fencing = 146 × 1752** ✓
(1 mark) for correct area (1260 m²). (1 mark) for correct perimeter (146 m). (1 mark) for correct cost ($1752).
Common mistake: Using area to calculate fencing cost instead of perimeter. Award 1 mark for correct area, 0 for cost.
17. Volume of container = 60 cm × 40 cm × 30 cm = 72 000 cm³ 72 000 cm³ = 72 ℓ Number of jugs = 72 ÷ 2 = 36 jugs ✓
(1 mark) for correct volume in cm³. (1 mark) for correct conversion to litres. (1 mark) for correct answer (36 jugs).
18. (a) Volume = edge³ = 512 cm³ Edge = ³√512 = 8 cm ✓
(1 mark) for correct cube root method. (1 mark) for correct answer.
(b) Surface area of cube = 6 × side² = 6 × 8² = 6 × 64 = 384 cm² ✓
(1 mark) for correct formula. (1 mark) for correct answer with unit.
19. 120 ℓ = 120 000 cm³ Volume of water = length × breadth × height 120 000 = 80 × 50 × height 120 000 = 4000 × height Height = 120 000 ÷ 4000 = 30 cm ✓
(1 mark) for correct conversion of litres to cm³. (1 mark) for correct formula and substitution. (1 mark) for correct answer with unit.
Common mistake: Forgetting to convert litres to cm³ before dividing. Award 1 mark for correct method with unconverted units.
20. (a) Volume of pool = 25 m × 15 m × 2 m = 750 m³ Since 1 m³ = 1000 ℓ: 750 m³ = 750 000 ℓ ✓
(1 mark) for correct volume in m³. (1 mark) for correct conversion to litres.
(b) Time = 750 000 ÷ 500 = 1500 minutes 1500 minutes = 25 hours = 25 hours 0 minutes ✓
(1 mark) for correct division (1500 minutes). (1 mark) for correct conversion to hours. (1 mark) for correct final answer in hours and minutes.
Common mistake: Writing 1500 minutes as 15 hours (dividing by 100 instead of 60). Award 1 mark for correct division but wrong conversion.
End of Answer Key