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Primary 3 Mathematics Semestral Assessment 2 (End of Year) Paper 5
Free P3 Maths SA2 Paper 5, Kimi2.6 Exam version, with questions, answers, and syllabus-aligned practice for Singapore students.
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Primary 3 Mathematics - SA2 Practice Paper Version 5
Answer Key and Marking Scheme
Total Marks: 50
SECTION A: Multiple-Choice Questions (20 marks)
Each question: 2 marks. No working required for marks, but concepts explained below for learning.
1. Answer: (2) 4
Concept: Place value in 4-digit numbers.
- In 8,426, the places are: 8 (thousands), 4 (hundreds), 2 (tens), 6 (ones)
- We read from right to left: ones, tens, hundreds, thousands
- The hundreds digit is the third digit from the right
Common mistake: Choosing 8 (the first digit) without checking whether it asks for thousands or hundreds.
2. Answer: (4) 7,000
Concept: Value of a digit = digit × place value.
- The digit 7 is in the thousands place
- Value = 7 × 1,000 = 7,000
- This is different from "the digit itself" which would just be 7
Key distinction: "Digit" (just the symbol) vs "value of the digit" (what it represents in that position).
3. Answer: (4) 4,802
Concept: Comparing 4-digit numbers by place value from left to right.
- All numbers start with 4, so compare hundreds place
- 4,802 has 8 hundreds; 4,280 has 2 hundreds; 4,208 has 2 hundreds; 4,028 has 0 hundreds
- 8 hundreds > 2 hundreds > 0 hundreds
Method: Compare thousands → hundreds → tens → ones until you find a difference.
4. Answer: (2) 5,269
Concept: Converting expanded form to standard numerals.
- 5 thousands = 5,000
- 17 tens = 170 (17 × 10 = 170)
- 9 ones = 9
- Total: 5,000 + 170 + 9 = 5,269
Common mistake: Writing 17 in the tens place directly as "17" to make 5,179. But 17 tens = 170, so the tens digit is 6 (with 1 hundred carried over: 5,000 + 100 + 160 + 9 = wait, let me recalculate: 17 tens = 10 tens + 7 tens = 1 hundred + 7 tens. So 5,000 + 100 + 60 + 9 = 5,169? No wait: 5,000 + (17 × 10) + 9 = 5,000 + 170 + 9 = 5,179... Hmm, let me recheck: 17 × 10 = 170. 5,000 + 170 = 5,170. + 9 = 5,179.
Wait, I need to recheck my answer. 5 thousands + 17 tens + 9 ones:
- 5,000 + 170 + 9 = 5,179
So the answer should be (1) 5,179 not (2) 5,269.
Corrected Answer: (1) 5,179
Working: 5,000 + (17 × 10) + 9 = 5,000 + 170 + 9 = 5,179
5. Answer: (3) 6,959 [Note: options 3 and 4 identical in paper, treat as 6,959]
Concept: Adding 100 to a number affects the hundreds place.
- 6,859 + 100 = 6,959
- The hundreds digit increases by 1: 8 hundreds → 9 hundreds
- No change to tens or ones digits
Mental method: 6,859 → 6,959 (jump 100)
6. Answer: (4) 4,600
Concept: Rounding to the nearest hundred.
- Look at the tens digit: 4,567, tens digit is 6
- Rule: If tens digit is 5 or more, round up
- 6 ≥ 5, so round 500 up to 600
- Result: 4,600
Visual number line method: 4,567 is closer to 4,600 than to 4,500.
7. Answer: (2) 2,750
Concept: Identifying number patterns.
- Pattern increases by 100 each time: 2,450, 2,550 (+100), 2,650 (+100)
- Next: 2,650 + 100 = 2,750
- Check: 2,750 + 100 = 2,850 ✓
8. Answer: (2) 3,209
Concept: Ascending order = smallest to largest.
- First compare thousands: all have 3
- Compare hundreds: 0, 0, 2, 9 → arrange: 0, 0, 2, 9
- For 3,029 and 3,209: compare tens: 2 < 0? No wait: 3,029 has 2 tens, 3,209 has 0 tens. So 3,029 < 3,209
- Full order: 3,029, 3,209, 3,290, 3,902
- Second number: 3,209
9. Answer: (2) 900
Concept: Place value decomposition.
- 6,937 = 6,000 + 900 + 30 + 7
- Missing number: 6,937 − 6,000 − 30 − 7 = 900
- The 9 is in the hundreds place
10. Answer: (3) 5,889
Concept: Odd numbers end in 1, 3, 5, 7, or 9.
- Must be odd: only 5,889 ends in 9 (odd digit)
- Check range: 5,800 < 5,889 < 5,900 ✓
- 5,802 and 5,878 end in even digits; 5,900 ends in 0 (even)
SECTION B: Short-Answer Questions (20 marks)
Each question: 2 marks. 1 mark for correct method shown, 1 mark for correct final answer. If answer only with no working, 1 mark only (except simple place value questions).
11. Five thousand and sixty
Marking: 2 marks for correct answer. Accept "five thousand sixty" (common Singapore usage without "and").
Concept: Zero in the hundreds place means we say "and sixty" or just skip to tens. The zero is a placeholder.
12. 6,432
Working: 8,432 − 2,000 = 6,432
Marking: 2 marks (1 for method, 1 for answer). Or 2 marks for correct answer.
Concept: "Less than" means subtraction. 2,000 affects the thousands place.
13. 7,510, 7,501, 7,105, 7,015
Working:
- Compare hundreds place: 7,510 and 7,501 have 5 hundreds; 7,105 has 1 hundred; 7,015 has 0 hundreds
- Among 7,510 and 7,501: 7,510 > 7,501 (10 > 01 in tens place)
- So: 7,510, 7,501, 7,105, 7,015
Marking: 2 marks for fully correct order. 1 mark if order is correct but ascending instead of descending (wrong direction).
14. 6,434
Working:
3,456
+ 2,978
-------
- Ones: 6 + 8 = 14, write 4, carry 1
- Tens: 5 + 7 + 1 = 13, write 3, carry 1
- Hundreds: 4 + 9 + 1 = 14, write 4, carry 1
- Thousands: 3 + 2 + 1 = 6
Answer: 6,434
Marking: 1 mark for correct column addition method shown, 1 mark for correct answer. Deduct 1 if no regrouping shown but answer correct (insufficient working for this level).
15. 3,711
Working:
5,000
- 1,289
-------
-
Need to regroup: 5,000 = 4,900 + 100 = 4,990 + 10 = ...
-
Standard algorithm with multiple regroupings:
- Ones: 0 − 9, borrow from tens (tens is 0, so keep borrowing)
- 5,000 → 4,000 + 900 + 90 + 10, then borrow for ones: 10 − 9 = 1
- Tens: 90 − 1 (borrowed) − 8 = 80 − 8... wait, let me be clearer:
5,000 = 4,999 + 10 (not standard)
Better standard:
- 5,000: borrow 1 thousand → 4 thousands, 10 hundreds
- 10 hundreds: borrow 1 hundred → 9 hundreds, 10 tens
- 10 tens: borrow 1 ten → 9 tens, 10 ones
- Now: 10 − 9 = 1; 9 − 8 = 1; 9 − 2 = 7; 4 − 1 = 3
Answer: 3,711
Marking: 1 mark for method showing regrouping understanding, 1 mark for correct answer.
16. 8,521
Concept: Greatest number → largest digits in highest places.
- Arrange digits 8, 5, 2, 1 in descending order for places: 8 (thousands), 5 (hundreds), 2 (tens), 1 (ones)
- Answer: 8,521
Marking: 2 marks. 1 mark for understanding largest digit goes to thousands place.
17. 3,250
Concept: Rounding to nearest ten.
- Look at ones digit: 3,249, ones digit is 9
- 9 ≥ 5, so round up: 240 → 250
- Answer: 3,250
Marking: 2 marks (1 for identifying ones digit determines rounding, 1 for correct answer).
18. 4,700, 4,900
Pattern: Increasing by 200 each time.
- 4,100 + 200 = 4,300
- 4,300 + 200 = 4,500
- 4,500 + 200 = 4,700
- 4,700 + 200 = 4,900
Marking: 2 marks (1 mark per blank). Both must be correct for full marks.
19. 8,910
Working:
- First 9 (leftmost): in thousands place → value = 9,000
- Second 9 (third digit): in tens place → value = 90
- Difference: 9,000 − 90 = 8,910
Marking: 1 mark for identifying both place values correctly, 1 mark for correct subtraction.
Common mistake: Answering "0" by subtracting digits (9 − 9 = 0) without considering place value.
20. 7,450
Concept: Rounding to nearest hundred gives 7,500.
- Numbers rounding to 7,500: from 7,450 to 7,549
- Smallest of these: 7,450 (it rounds up because tens digit is 5)
Marking: 2 marks. Common wrong answer: 7,500 (the rounded value itself, not the smallest original).
SECTION C: Word Problems (10 marks)
21. 1,644 stickers [3 marks]
Working:
- Stickers given away: 1,289 + 1,567
- 1,289 + 1,567 = 2,856
- Stickers left: 4,500 − 2,856
- 4,500 − 2,856 = 1,644
4,500
- 2,856
-------
1,644
(Regrouping required: 4,500 = 3,000 + 1,400 + 90 + 10, etc.)
Marking breakdown:
- 1 mark: Correct method to find total given away (addition)
- 1 mark: Correct method to find remainder (subtraction from 4,500)
- 1 mark: Correct final answer with correct units
If student does 4,500 − 1,289 − 1,567 in one chain, same marking applies.
22. (a) 4,221 toys [1 mark]
Working: 2,345 + 1,876 = 4,221
Marking: 1 mark for correct addition with units.
22. (b) 213 toys [2 marks]
Working: 2,089 − 1,876
2,089
- 1,876
-------
213
Answer: 213 more toys
Marking breakdown:
- 1 mark: Correct subtraction method (identify larger minus smaller, correct alignment)
- 1 mark: Correct answer with units
22. (c) No, the factory did not meet its target. [2 marks]
Working:
- Total produced: 2,345 + 1,876 + 2,089 = 6,310
- Or use part (a): 4,221 + 2,089 = 6,310
- Compare with target: 6,310 < 7,000
- Difference: 7,000 − 6,310 = 690
Answer: No, the factory did not meet its target. It produced 6,310 toys, which is 690 toys short.
Marking breakdown:
- 1 mark: Correct method to find total production (must reference or recalculate)
- 1 mark: Correct comparison and conclusion stated clearly
Accept: "No" with correct working showing 6,310 and that this is less than 7,000.
END OF ANSWER KEY
Total marks: 50 marks
| Section | Marks |
|---|---|
| A | 20 |
| B | 20 |
| C | 10 |
| Total | 50 |