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Primary 6 PSLE Mathematics Practice Paper 2
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TuitionGoWhere Practice Paper — Answer Key
Mathematics | Primary 6 PSLE | Version 2 of 5
Section A: Multiple Choice (2 marks each × 10 = 20 marks)
1. D
Explanation: In 4 735 206, the digit 7 is in the hundred thousands place. 7 × 100 000 = 700 000.
2. C
Explanation: 3 487 521 — the digit in the thousands place is 7, which is ≥ 5, so we round up the ten thousands digit from 8 to 9. Answer: 3 490 000.
3. C
Explanation: 96 ÷ 12 = 8 (no remainder), so 12 is a factor of 96. Checking others: 96 ÷ 7 = 13 r 5 (no), 96 ÷ 9 = 10 r 6 (no), 96 ÷ 14 = 6 r 12 (no).
4. C
Explanation: Multiples of 8: 8, 16, 24, 32, 40, 48, 56, …
Multiples of 14: 14, 28, 42, 56, …
LCM = 56.
5. B
Explanation: 5 600 000 = Five million six hundred thousand.
6. B
Explanation: A number is divisible by 9 if the sum of its digits is divisible by 9.
A: 4+5+7+2 = 18 ✓ (also divisible by 9 — but check all)
B: 6+3+8+1 = 18 ✓
C: 7+2+9+4 = 22 ✗
D: 8+1+5+3 = 17 ✗
Note: Both A and B have digit sums of 18. Rechecking: 4 572 → 4+5+7+2=18 ✓ and 6 381 → 6+3+8+1=18 ✓. Both are divisible by 9. However, only B is listed as the intended answer. If this were a real exam, the question would be reviewed. For this practice paper, accept B as the answer.
Marking note: Award the mark for B. Teachers should note that A is also correct; this question should be revised before reuse.
7. B
Explanation: Total = 2 450 000 + 3 175 000 = 5 625 000. In millions: 5.625 million. Rounded to 1 decimal place: 5.6 million.
8. D
Explanation: 3⁴ = 3 × 3 × 3 × 3 = 81.
9. B
Explanation: HCF × LCM = Product of the two numbers.
6 × 72 = 24 × (other number)
432 = 24 × (other number)
Other number = 432 ÷ 24 = 18.
10. B
Explanation: 51 = 3 × 17, so 51 is not a prime number. 41, 61, and 71 are all prime.
Section B: Short Answer (4 marks each × 10 = 40 marks)
11. Six million eighty thousand and five.
Marking: Award 4 marks for the correct answer. Accept minor variations in formatting (e.g., "Six million, eighty thousand and five").
12. 4 052 310, 4 502 130, 4 502 310, 4 520 310
Marking: Award 4 marks for all four in correct order. Award 2 marks if two or three are in the correct relative position.
13.
5 × (12 000 + 3 600) ÷ 4
= 5 × 15 600 ÷ 4
= 78 000 ÷ 4
= 19 500
Answer: 19 500
Marking: 1 mark for correct bracket sum (15 600), 1 mark for multiplication (78 000), 1 mark for division (19 500), 1 mark for final answer.
14. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Marking: Award 4 marks for all 12 factors. Award 3 marks if 1–2 factors are missing. Award 2 marks if several are missing but the method is shown.
15.
Recorded population: 2 345 678
The digit in the hundred thousands place is 3.
Correct digit = 3 + 1 = 4.
Correct population = 2 445 678
Answer: 2 445 678
Marking: 1 mark for identifying the hundred thousands digit, 1 mark for adding 1, 1 mark for replacing the digit, 1 mark for the final answer.
16.
Prime factors of 18: 2 × 3²
Prime factors of 30: 2 × 3 × 5
HCF = 2 × 3 = 6
LCM = 2 × 3² × 5 = 90
Marking: 2 marks for HCF, 2 marks for LCM. Award partial marks for correct prime factorisation.
17.
2⁵ − 3³ + 11²
= 32 − 27 + 121
= 5 + 121
= 126
Answer: 126
Marking: 1 mark for each correct power evaluation (2⁵, 3³, 11²), 1 mark for the final answer.
18.
Numbers divisible by both 4 and 6 must be divisible by LCM(4, 6) = 12.
Multiples of 12 between 50 and 80: 60, 72.
Answer: 60 and 72
Marking: 2 marks for finding LCM = 12, 1 mark for listing multiples, 1 mark for correct final answer.
19.
756 ÷ 2 = 378
378 ÷ 2 = 189
189 ÷ 3 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
756 = 2² × 3³ × 7
Answer: 2² × 3³ × 7
Marking: Award marks for correct division steps (1 mark each for up to 3 steps shown), 1 mark for correct final answer in index notation.
20.
(a) Total = 1 235 000 + 1 480 000 + 1 365 000 + 1 520 000
= 5 600 000
Answer (a): 5 600 000 books
(b) June − March = 1 520 000 − 1 235 000 = 285 000
Answer (b): 285 000 books
Marking: (a) 2 marks — 1 for correct addition, 1 for answer. (b) 2 marks — 1 for correct subtraction, 1 for answer.
Section C: Problem Solving (8 marks each × 5 = 40 marks)
21.
Books per class = 3 600 ÷ 24 = 150
Books per group = 150 ÷ 5 = 30
Answer: 30 exercise books
Marking: 3 marks for finding books per class (150), 3 marks for dividing by 5, 2 marks for final answer with unit.
22.
For divisibility by 9, the sum of all digits must be divisible by 9.
Sum of known digits: 5 + 3 + 2 + 9 + 6 = 25
The next multiple of 9 after 25 is 27.
Missing digit = 27 − 25 = 2
Answer: 2
Marking: 2 marks for summing known digits (25), 3 marks for finding the next multiple of 9, 3 marks for the correct missing digit.
23.
(a) Bala = 3 × 2 450 = 7 350
Answer (a): 7 350 stamps
(b) Clara = 7 350 − 1 200 = 6 150
Total = 2 450 + 7 350 + 6 150 = 15 950
Answer (b): 15 950 stamps
Marking for (a): 2 marks — 1 for multiplication, 1 for answer.
Marking for (b): 4 marks — 1 for finding Clara's stamps, 1 for adding all three, 1 for correct total, 1 for unit.
24.
(a) After Monday: 4 500 000 − 785 000 = 3 715 000
After Tuesday: 3 715 000 − 1 230 000 = 2 485 000
Answer (a): 2 485 000 kg
(b) After Wednesday: 2 485 000 + 950 000 = 3 435 000
Answer (b): 3 435 000 kg
Marking for (a): 3 marks — 1 for Monday subtraction, 1 for Tuesday subtraction, 1 for answer.
Marking for (b): 3 marks — 1 for addition, 1 for answer, 1 for unit.
25.
(a) Total = 12 450 + 15 380 + 11 290 + 18 760 = 57 880
Answer (a): 57 880
(b) 57 880 rounded to nearest thousand: The hundreds digit is 8 (≥ 5), so round up → 58 000
Answer (b): 58 000
(c) Expected: 60 000. Actual: 57 880.
Difference = 60 000 − 57 880 = 2 120 fewer
Answer (c): 2 120 fewer people
Marking for (a): 2 marks — 1 for addition, 1 for answer.
Marking for (b): 2 marks — 1 for correct rounding, 1 for answer.
Marking for (c): 2 marks — 1 for subtraction, 1 for answer with "fewer".
Total: 100 marks