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Primary 3 Mathematics Practice Paper 2
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TuitionGoWhere Practice Paper - Mathematics Primary 3
Answer Key with Marking Scheme
Version: 2 of 5
Total Marks: 50
Duration: 40 minutes
Section A: Multiple Choice Questions (10 marks)
1 mark each
| Question | Answer | Explanation |
|---|---|---|
| 1 | 2 | In 7,439: 7 is thousands, 4 is hundreds, 3 is tens, 9 is ones. |
| 2 | 4 | The digit 6 is in the thousands place, so its value is 6,000 (6 × 1,000). |
| 3 | 3 | Compare from left: 4,990 > 4,909 > 4,199 > 4,099. Check thousands (all 4), then hundreds (9 > 0, 1, 0). |
| 4 | 1 | All start with 3, so compare hundreds: 4 < 5 < 6. Order: 3,456, 3,465, 3,564, 3,654. |
| 5 | 1 | 5,000 + 700 + 20 + 8 = 5,728. |
| 6 | 3 | 8,965 + 100 = 9,065 (add 1 to the hundreds place: 9 becomes 10, so hundreds reset to 0, thousands increase by 1). |
| 7 | 2 | Check: 6,492 → thousands digit 6, ones digit 2, and 6 = 2 + 4... No, recheck: 6,492: 6 − 2 = 4, not 3. 7,251: 7 − 1 = 6, not 3. 8,165: 8 − 5 = 3 ✓. Wait, let me recheck 6,492: 6 − 2 = 4. The answer is 3 (7,251: 7−1=6), no wait—the correct answer is 2 (6,492 where 6−2=4... actually none seem right except 8,165: 8−5=3). Let me recheck options: 5,284: 5−4=1; 6,492: 6−2=4; 7,251: 7−1=6; 8,165: 8−5=3. The answer is 4 (8,165). Correction to original: The answer is 4. |
| 8 | 1 | For smallest number, put smallest non-zero digit (2) first, then arrange ascending: 2,047. |
| 9 | 2 | A number rounding to 6,000 must be from 5,500 to 6,499. 5,501 is in this range. |
| 10 | 1 | 8,200 − 2,500 = 5,700. |
Section B: Short Answer Questions (25 marks)
11. [2 marks]
Answer: Five thousand and sixty (or: Five thousand sixty)
Marking: Both words and correct "and" placement (or accepted local variant) – 2 marks. Minor spelling error with correct understanding – 1 mark.
12. [2 marks]
Answer: 8,400
Working: 9,400 − 1,000 = 8,400
Concept: "1,000 less" means subtract 1,000 from the thousands place. 9 − 1 = 8 in the thousands place.
13. [2 marks]
Answer: 4,721, 4,712, 4,271, 4,172
Method: Compare from left. All have 4 thousands. Compare hundreds: 7 > 2 > 1. But wait: 4,721 and 4,712 both have 7 hundreds, so compare tens: 2 > 1. Then 4,271 and 4,172: 2 > 1 in hundreds place.
Common error: Mixing up 4,721 and 4,712 (need to check tens digit).
14. [2 marks]
Answer: In the number 9,438, the digit 3 is in the tens place and its value is 30.
Marking: Correct digit (3) – 1 mark; correct value (30) – 1 mark. If student writes "3" for value, award 1 mark only (confuses digit with value).
15. [2 marks]
Answer: 1,999
Working: Largest 3-digit number = 999; Smallest 4-digit number = 1,000; Sum = 999 + 1,000 = 1,999
Concept: Understanding the boundary between 3-digit and 4-digit numbers. 999 is the "threshold" number—add 1 to get 1,000.
16. [3 marks]
(a) [1 mark] Any valid answer where thousands digit = 2 × hundreds digit.
Examples: 4,200 (4 = 2×2); 6,300 (6 = 2×3); 8,401 (8 = 2×4); 2,100 (2 = 2×1)
(b) [2 marks]
Expected explanation: "The digit in the thousands place is [X]. The digit in the hundreds place is [Y]. Since [X] = 2 × [Y], the condition is satisfied."
Example for 4,200: "The thousands digit is 4. The hundreds digit is 2. Since 4 = 2 × 2, my number satisfies the condition that the thousands digit is twice the hundreds digit."
Marking: Correct identification of digits – 1 mark; Correct verification with multiplication/relationship – 1 mark.
17. [3 marks]
(a) [2 marks]
Working: 2,475 + 1,308 = 3,783
Answer: 3,783 students
Method: "More than" means addition. Add ones: 5+8=13 (write 3, carry 1). Tens: 7+0+1=8. Hundreds: 4+3=7. Thousands: 2+1=3.
(b) [1 mark]
Working: 2,475 + 3,783 = 6,258
Answer: 6,258 students
18. [3 marks]
(a) [2 marks]
Working:
- Stickers given away: 1,250 + 1,875 = 3,125
- Stickers remaining: 5,000 − 3,125 = 1,875
Or direct: 5,000 − 1,250 − 1,875 = 1,875
Answer: 1,875 stickers
Common error: Forgetting to subtract both amounts or subtraction errors in regrouping.
(b) [1 mark]
Working: 1,875 ÷ 5 = 375
Answer: 375 stickers
Method: "Equal" sharing means division. 1,875 ÷ 5: 5 into 18 goes 3 (15), remainder 3; 5 into 37 goes 7 (35), remainder 2; 5 into 25 goes 5.
19. [4 marks]
(a) [2 marks] Missing numbers: 2,600 and 2,700
(b) [2 marks]
Rule: Add 50 to each number to get the next number (or: The pattern increases by 50 each time).
Verification: 2,450 + 50 = 2,500 ✓; 2,500 + 50 = 2,550 ✓; 2,550 + 50 = 2,600; 2,600 + 50 = 2,650 ✓; 2,650 + 50 = 2,700; 2,700 + 50 = 2,750 ✓
Marking: Both numbers correct – 2 marks (1 mark if one number correct with adjacent correct). Rule stated clearly with correct operation and amount – 2 marks.
20. [4 marks]
(a) [1 mark]
Working: 1,245 + 368 = 1,613
Answer: 1,613 stamps
(b) [2 marks]
Working: 1,613 − 512 = 1,101
Answer: 1,101 stamps
Note: "Fewer than" means subtraction. Students must use Mei Ling's amount, not Jason's.
(c) [1 mark]
Working: 1,245 + 1,613 + 1,101 = 3,959
Answer: 3,959 stamps
Section C: Word Problems (15 marks)
21. [4 marks]
(a) [2 marks]
Working: 3,240 + 486 = 3,726
Answer: 3,726 cupcakes
Method: "486 more than Monday" → addition to Monday's amount.
Marking: Correct method (addition) – 1 mark; Correct answer – 1 mark.
(b) [2 marks]
Working: 3,240 + 3,726 = 5,966 or 3,726 + 3,240 = 5,966
Answer: 5,966 cupcakes
Method: "Both days altogether" → add Monday and Tuesday amounts.
Marking: Correct addition – 1 mark; Correct final answer – 1 mark. Follow-through marks available if (a) is wrong but method in (b) is correct with their value.
22. [4 marks]
(a) [1 mark]
Working: 1,248 + 967 = 2,215
Answer: 2,215 residents
(b) [3 marks]
Working:
- Method 1: 2,500 − 2,215 = 285
- Method 2: 2,500 − 1,248 − 967 = 1,252 − 967 = 285
Answer: 285 residents
Marking: Understanding "to reach target" requires finding difference or working backwards – 1 mark; Correct subtraction set-up – 1 mark; Correct answer – 1 mark.
Teaching note: "How many more to reach" is a "find the gap" or "complement" problem. Students can think: Current + ? = Target, so ? = Target − Current.
23. [6 marks]
Visual verification: The table should show: January 1,245; February 1,508; March 1,376; April 1,891.
(a) [1 mark]
Answer: April (1,891 books)
(b) [2 marks]
Working: 1,891 − 1,245 = 646
Answer: 646 more books
Marking: Correct numbers identified from table – 1 mark; Correct subtraction – 1 mark.
(c) [3 marks]
Working:
- Total = 1,245 + 1,508 + 1,376 + 1,891
- Step by step: 1,245 + 1,508 = 2,753
- 2,753 + 1,376 = 4,129
- 4,129 + 1,891 = 6,020
Comparison: 6,020 > 5,000
Answer: Yes, she should order 2,500 new books because the total (6,020) is more than 5,000.
Marking: Correct method for total (addition of all four months) – 1 mark; Correct total – 1 mark; Correct comparison and conclusion with "Yes" – 1 mark. If total is wrong but comparison logic is correct with their total, award 1 mark.
24. [5 marks]
(a) [3 marks]
Working step-by-step:
| Clue | Digit | Reasoning |
|---|---|---|
| Thousands: smallest even number > 0 | 2 | Smallest even numbers: 0, 2, 4... ; 0 is not greater than 0, so next is 2 |
| Hundreds: 5 more than thousands | 7 | 2 + 5 = 7 |
| Tens: largest single-digit even number | 8 | Single-digit evens: 0,2,4,6,8; largest is 8 |
| Ones: 3 less than tens | 5 | 8 − 3 = 5 |
Answer: 2,785
Marking: Correct thousands digit – 1 mark; Correct hundreds and tens – 1 mark; Correct ones and final answer – 1 mark.
(b) [2 marks]
Expected explanation structure:
- Thousands: "The smallest even number greater than 0 is 2, not 0, because 0 is not greater than 0."
- Hundreds: "I added 5 to the thousands digit: 2 + 5 = 7."
- Tens: "The largest single-digit even number is 8 (not 9, because 9 is odd)."
- Ones: "I subtracted 3 from the tens digit: 8 − 3 = 5."
Marking: Clear reasoning for at least two digits with correct mathematical justification – 2 marks. Partial explanation with minor gaps – 1 mark.
25. [5 marks]
(a) [2 marks]
Working: 2,340 − 1,875 = 465
Answer: 465 metres further
Method: "Further... than" → find the difference (subtraction, larger minus smaller).
Marking: Correct subtraction set-up – 1 mark; Correct answer with unit – 1 mark.
(b) [3 marks]
Working:
- Alicia walked 1,875 m already
- Total distance: 4,500 m
- Remaining: 4,500 − 1,875 = 2,625
Answer: 2,625 metres
Method 1 (Direct): Total − Amount walked = Remaining Method 2 (Complementary): 4,500 − 1,875: Think 1,875 + ? = 4,500; or use standard subtraction with regrouping.
Marking: Correct identification of relevant numbers (4,500 and 1,875) – 1 mark; Correct subtraction method – 1 mark; Correct answer with unit – 1 mark.
Common error: Using Ben's distance (2,340) instead of Alicia's. Must read "Alicia walked the remaining distance."
Summary of Marks by Section
| Section | Questions | Marks |
|---|---|---|
| A | 1-10 | 10 |
| B | 11-20 | 25 |
| C | 21-25 | 15 |
| Total | 50 |
End of Answer Key
