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Primary 4 Mathematics Measurement Quiz
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Primary 4 Mathematics Quiz – Measurement
Answer Key
Section A: Length, Mass, and Volume (Questions 1–10)
1. (C) metre [1]
Explanation: A classroom is a medium-sized space. Millimetres and centimetres are too small; kilometres are too large. Metres are the most appropriate unit.
2. (C) 40 kg [1]
Explanation: 5 kg × 8 = 40 kg. Note that the unit is kilograms, not grams. A common mistake is choosing 40 g, forgetting the unit.
3. (C) 3,450 [1]
Explanation: 3 km = 3,000 m. 3,000 m + 450 m = 3,450 m.
4. (C) 2,350 g [1]
Explanation: 2 kg = 2,000 g. 2,000 g + 350 g = 2,350 g.
5. (C) a fish tank holding about 8 l [1]
Explanation: Converting all to millilitres: (A) 250 ml, (B) 1,500 ml, (C) 8,000 ml, (D) 200 ml. The fish tank holds the greatest volume.
6. 4.8 km [1]
Explanation: 800 m = 800 ÷ 1,000 = 0.8 km. So 4 km 800 m = 4 + 0.8 = 4.8 km.
Marking note: Award 1 mark for the correct answer. Accept 4.8 km or 4.8.
7. 260 cm [1]
Explanation: 2 m = 2 × 100 = 200 cm. 200 cm + 60 cm = 260 cm.
8. 1,050 g, 1 kg 50 g, 1,500 g, 1 kg 500 g [2]
Explanation: First convert all to grams:
- 1 kg 500 g = 1,500 g
- 1,050 g = 1,050 g
- 1 kg 50 g = 1,050 g → Wait, let me recalculate: 1 kg 50 g = 1,000 g + 50 g = 1,050 g
- 1,500 g = 1,500 g
Correct ordering from smallest to largest:
- 1 kg 50 g = 1,050 g
- 1,050 g = 1,050 g
- 1 kg 500 g = 1,500 g
- 1,500 g = 1,500 g
So: 1 kg 50 g, 1,050 g, 1 kg 500 g, 1,500 g (or equivalently: 1,050 g, 1 kg 50 g, 1,500 g, 1 kg 500 g — since 1,050 g = 1 kg 50 g, they are equal)
Marking note: Award 2 marks for correct order. Award 1 mark if the student correctly converts all values but makes a minor ordering error. Note: 1,050 g and 1 kg 50 g are equal, so their relative order does not matter.
9. 1 l 550 ml [2]
Working:
- 2 l 300 ml = 2,300 ml
- 2,300 ml − 750 ml = 1,550 ml
- 1,550 ml = 1 l 550 ml
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct conversion but arithmetic error. Award 1 mark for correct answer without working.
10. 4 kg 50 g [2]
Working:
- 1 kg 200 g + 2 kg 850 g
- kg: 1 + 2 = 3 kg
- g: 200 + 850 = 1,050 g = 1 kg 50 g
- Total: 3 kg + 1 kg 50 g = 4 kg 50 g
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method with minor arithmetic error.
Section B: Word Problems on Measurement (Questions 11–17)
11. 3 km 500 m [2]
Working:
- Monday: 2 km = 2,000 m
- Tuesday: 1 km 500 m = 1,500 m
- Total: 2,000 + 1,500 = 3,500 m = 3 km 500 m
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method.
12. 11 l 600 ml [2]
Working:
- 15 l = 15,000 ml
- 3 l 400 ml = 3,400 ml
- 15,000 − 3,400 = 11,600 ml = 11 l 600 ml
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct conversion but arithmetic error.
13. 2 m 25 cm [2]
Working:
- 4 m = 400 cm
- 1 m 75 cm = 175 cm
- 400 − 175 = 225 cm = 2 m 25 cm
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method.
14. 2 kg 300 g [2]
Working:
- 6 kg 900 g = 6,900 g
- 6,900 ÷ 3 = 2,300 g = 2 kg 300 g
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct division set-up.
15. 800 g [2]
Working:
- 2 kg = 2,000 g
- Total used: 750 + 450 = 1,200 g
- Left: 2,000 − 1,200 = 800 g
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method.
16. 1,250 ml (or 1 l 250 ml) [3]
Working:
- 5 l = 5,000 ml
- 5,000 ÷ 4 = 1,250 ml
Marking note: Award 3 marks for correct answer with clear working. Award 2 marks for correct conversion and division set-up with minor error. Award 1 mark for correct conversion to millilitres only.
17. 5 kg 650 g [3]
Working:
- Total: 18 kg = 18,000 g
- Dog: 12 kg 350 g = 12,350 g
- Cat: 18,000 − 12,350 = 5,650 g = 5 kg 650 g
Marking note: Award 3 marks for correct answer with clear working. Award 2 marks for correct method with minor arithmetic error. Award 1 mark for correct conversion.
Section C: Application and Reasoning (Questions 18–20)
18.
(a) 2 km 0 m (or 2 km) [2]
Working:
- House to library: 1 km 250 m = 1,250 m
- Library to supermarket: 750 m
- Total: 1,250 + 750 = 2,000 m = 2 km
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method.
(b) 500 m [2]
Working:
- House to library: 1,250 m
- Library to supermarket: 750 m
- Difference: 1,250 − 750 = 500 m
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method.
19. 7 l 400 ml; 3 buckets [4]
Working:
- Tank capacity: 20 l = 20,000 ml
- Current water: 12 l 600 ml = 12,600 ml
- Water needed: 20,000 − 12,600 = 7,400 ml = 7 l 400 ml
- Each bucket: 2 l 500 ml = 2,500 ml
- Number of buckets: 7,400 ÷ 2,500 = 2.96 → need 3 buckets (since 2 buckets would only provide 5,000 ml, which is not enough)
Marking note: Award 4 marks for both correct answers with clear working. Award 3 marks if the student correctly finds the remaining water but rounds the bucket answer incorrectly (e.g., writes 2 instead of 3). Award 2 marks for correct remaining water only. Award 1 mark for correct conversions only. Important: The student must round UP to 3 buckets because 2 buckets are insufficient.
20.
(a) 11 kg 900 g [2]
Working:
- Apples: 3 kg 200 g = 3,200 g
- Oranges: 2 kg 750 g = 2,750 g
- Bananas: 4 kg 100 g = 4,100 g
- Grapes: 1 kg 850 g = 1,850 g
- Total: 3,200 + 2,750 + 4,100 + 1,850 = 11,900 g = 11 kg 900 g
Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method with arithmetic error.
(b) Bag 1 (apples + oranges) is heavier by 500 g [2]
Working:
- Bag 1: Apples + Oranges = 3,200 + 2,750 = 5,950 g = 5 kg 950 g
- Bag 2: Bananas + Grapes = 4,100 + 1,850 = 5,950 g = 5 kg 950 g
Wait — let me recalculate:
- Bag 1: 3 kg 200 g + 2 kg 750 g = 5 kg 950 g
- Bag 2: 4 kg 100 g + 1 kg 850 g = 5 kg 950 g
Both bags have the same mass!
Corrected Answer: Both bags have the same mass (5 kg 950 g each). [2]
Marking note: Award 2 marks for correctly calculating both bags and concluding they are equal (or correctly identifying which is heavier with working). Award 1 mark for correct calculation of one bag's mass. Accept any correct conclusion supported by working.
Total: 30 marks
Summary of Marks by Section
| Section | Questions | Marks |
|---|---|---|
| A: Length, Mass, Volume (MCQ + Short Answer) | 1–10 | 12 |
| B: Word Problems | 11–17 | 14 |
| C: Application and Reasoning | 18–20 | 10 |
| Total | 1–20 | 30 |
Note: Some questions carry multiple marks; the total is 30 marks across 20 questions.