Primary 3 Mathematics Semestral Assessment 2 (End of Year) Paper 3

TuitionGoWhere Practice Paper — Mathematics Primary 3

SA2 (End-of-Year Examination) — Version 3 of 5

Answer Key and Marking Scheme

Total Marks: 50

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Section A: Multiple Choice Questions (10 marks, 1 mark each)

1. What is the value of the digit 6 in 6,248?

• The digit 6 is in the thousands place.
• Value of 6 = 6 × 1,000 = 6,000
• Answer: D ✅

Marking: 1 mark for correct answer. No partial marks.

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2. Which digit is in the hundreds place in 3,751?

• Breaking down 3,751: 3 (thousands), 7 (hundreds), 5 (tens), 1 (ones)
• Answer: B ✅

Marking: 1 mark for correct answer.

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3. Arrange in ascending order: 5,432, 5,234, 5,423, 5,342

• Compare from left to right: all start with 5 (thousands).
• Compare hundreds: 2 < 3 < 4 = 4
• For 5,423 and 5,432 (both have 4 hundreds): compare tens → 2 < 3
• Order: 5,234 < 5,342 < 5,423 < 5,432
• Answer: A ✅

Marking: 1 mark for correct answer.

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4. Which is the smallest even number?

• Check evenness (last digit must be 0, 2, 4, 6, or 8):
  • A. 4,109 → ends in 9 → odd ❌
  • B. 4,107 → ends in 7 → odd ❌
  • C. 4,108 → ends in 8 → even ✅
  • D. 4,103 → ends in 3 → odd ❌
• Only C is even, so it is the smallest even number.
• Answer: C ✅

Marking: 1 mark. Common mistake: students may pick A or D without checking evenness.

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5. Round 3,762 to the nearest hundred.

• Look at the tens digit: 6
• Since 6 ≥ 5, round up.
• 3,762 → 3,800
• Answer: C ✅

Marking: 1 mark. Common mistake: students round to the nearest ten (3,760) — that is option B.

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6. Which number is 1,000 more than 4,589?

• 4,589 + 1,000 = 5,589
• Answer: C ✅

Marking: 1 mark. Common mistake: adding only 100 (giving 4,689 — option A).

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7. Write seven thousand and sixty-three in numerals.

• Seven thousand = 7,000
• Sixty-three = 63
• 7,000 + 63 = 7,063
• Answer: C ✅

Marking: 1 mark. Common mistake: writing 7,630 (confusing sixty-three with six hundred thirty).

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8. In 8,040, the digit 0 is in the __________ place.

• 8,040 broken down: 8 (thousands), 0 (hundreds), 4 (tens), 0 (ones)
• The first 0 is in the hundreds place.
• Answer: C ✅

Marking: 1 mark.

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9. Pattern: 2,350, 2,450, 2,550, ________, 2,750

• Difference between terms: 2,450 − 2,350 = 100
• 2,550 + 100 = 2,650
• Check: 2,650 + 100 = 2,750 ✅
• Answer: B ✅

Marking: 1 mark.

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10. Which number is the largest?

• A. 6,999
• B. 7,001
• C. 6,909
• D. 7,010
• Compare thousands: 7,000s (B, D) are larger than 6,000s (A, C).
• Between B and D: 7,010 > 7,001
• Answer: D ✅

Marking: 1 mark. Common mistake: students may pick A (6,999) thinking it is close to 7,000 but not comparing properly.

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Section B: Short Answer Questions (20 marks, 2 marks each)

11. Write 4,805 in words.

• 4,000 = four thousand
• 800 = eight hundred
• 5 = five
• Answer: Four thousand, eight hundred and five ✅

Marking: 2 marks for correct answer. 1 mark if "and" is missing or minor spelling error, provided the number words are correct. Accept "four thousand eight hundred five" (American style) for 1 mark.

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12. Value of each digit in 5,372:

Digit	Value
5	5,000
3	300
7	70
2	2

Marking: 2 marks for all four correct. 1 mark for 2–3 correct. 0 marks for 0–1 correct. Common mistake: writing the digit itself instead of its value (e.g., writing "5" instead of "5,000").

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13. Arrange in descending order: 3,618, 3,816, 3,168, 3,861

• All start with 3 (thousands).
• Compare hundreds: 8 = 8 > 6 > 1
• For 3,816 and 3,861 (both have 8 hundreds): compare tens → 6 > 1
• Answer: 3,861, 3,816, 3,618, 3,168 ✅

Marking: 2 marks for fully correct descending order. 1 mark if order is ascending instead of descending (common mistake). 0 marks if more than one pair is out of order.

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14. Fill in the blanks:

(a) 2,000 + 400 + 60 + 9 = 2,469 ✅

(b) 9,503 = 9,000 + 500 + 0 + 3 ✅

Marking: 1 mark per part. 2 marks total.

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15. Round to the nearest ten:

(a) 4,237 → Look at ones digit: 7 ≥ 5, round up → 4,240 ✅

(b) 7,895 → Look at ones digit: 5 ≥ 5, round up → 7,900 ✅

Marking: 1 mark per part. Common mistake in (b): students may write 7,890 (rounding down) or 7,990 (adding 10 incorrectly).

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16. Pattern: 1,500, 2,000, 2,500, __________, __________

• Difference: 2,000 − 1,500 = 500
• 2,500 + 500 = 3,000
• 3,000 + 500 = 3,500
• Answer: 3,000 and 3,500 ✅

Marking: 2 marks for both correct. 1 mark if only one is correct.

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17. Using digits 3, 8, 1, 6 (each used once):

(a) Largest 4-digit number: arrange digits in descending order → 8,631 ✅

(b) Smallest 4-digit number: arrange digits in ascending order → 1,368 ✅

Marking: 1 mark per part. Common mistake in (b): students may write 1,386 (not fully ascending).

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18. Compare using >, <, or =:

(a) 5,472 > 5,427 ✅
(Same thousands and hundreds; compare tens: 7 > 2)

(b) 8,009 < 8,090 ✅
(Same thousands; compare hundreds: 0 < 9)

Marking: 1 mark per part. Common mistake in (b): students may compare 009 and 090 as if they are the same, or misread the place values.

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19. A number is even, between 6,200 and 6,210, tens digit is 0.

• Numbers between 6,200 and 6,210: 6,201, 6,202, 6,203, 6,204, 6,205, 6,206, 6,207, 6,208, 6,209
• Tens digit is 0: all of the above have 0 in tens place ✓
• Must be even: last digit must be 0, 2, 4, 6, or 8
• Even numbers in the list: 6,202, 6,204, 6,206, 6,208
• The question implies a single answer; the most natural reading is the smallest even number satisfying all conditions.
• Answer: 6,202 ✅

Marking: 2 marks for correct answer. Accept 6,202, 6,204, 6,206, or 6,208 if student shows reasoning, but 6,202 is the expected answer. 1 mark for identifying the range correctly but missing the even condition.

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20. Write the number: 3 thousands, 0 hundreds, 4 tens, and 7 ones

• 3,000 + 0 + 40 + 7 = 3,047
• Answer: 3,047 ✅

Marking: 2 marks for correct answer. 1 mark if student writes 3,470 (confusing tens and hundreds) or 3,407 (confusing tens and ones).

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Section C: Structured / Problem-Solving Questions (20 marks)

21. (4 marks)

Library	Number of Books
Red	4,325
Blue	4,532
Green	4,235
Yellow	4,523

(a) Most books: Compare all numbers.

• 4,532 (Blue) is the largest.
• Answer: Blue ✅ (1 mark)

(b) Fewest books:

• 4,235 (Green) is the smallest.
• Answer: Green ✅ (1 mark)

(c) Fewest to most: Compare hundreds digits: 2 < 3 < 5 = 5

• For Blue (4,532) and Yellow (4,523): compare tens → 2 < 3, so Yellow < Blue
• Answer: Green (4,235), Red (4,325), Yellow (4,523), Blue (4,532) ✅ (2 marks)

Marking for (c): 2 marks for fully correct order. 1 mark if one pair is swapped. 0 marks if the order is largely incorrect.

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22. (4 marks)

January: 2,845 pens; February: 3,155 pens

(a) Total pens sold in both months:

  2,845
+ 3,155
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  6,000

• 5 + 5 = 10, write 0, carry 1
• 4 + 5 + 1 = 10, write 0, carry 1
• 8 + 1 + 1 = 10, write 0, carry 1
• 2 + 3 + 1 = 6
• Answer: 6,000 pens ✅ (2 marks)

Marking: 2 marks for correct answer with working. 1 mark for correct answer without working, or for correct working with a minor arithmetic error.

(b) More pens in February than January:

  3,155
- 2,845
-------
    310

• 5 − 5 = 0
• 5 − 4 = 1
• 1 − 8: borrow → 11 − 8 = 3
• 2 − 2 = 0
• Answer: 310 pens ✅ (2 marks)

Marking: 2 marks for correct answer with working. 1 mark for correct answer without working, or for correct method with minor error.

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23. (4 marks)

Clues: Greater than 5,000 and less than 5,100; tens digit is 7; ones digit is 3.

(a) The number is between 5,000 and 5,100, so it is 5,0__.

• Tens digit is 7, ones digit is 3.
• Answer: 5,073 ✅ (2 marks)

Marking: 2 marks for correct answer. 1 mark if student writes 5,703 (placing 7 in hundreds instead of tens).

(b) Round 5,073 to the nearest hundred:

• Look at the tens digit: 7
• Since 7 ≥ 5, round up.
• 5,073 → 5,100 ✅ (2 marks)

Marking: 2 marks for correct answer with working. 1 mark for correct answer without working. Common mistake: students may write 5,000 (rounding down) or 5,070 (rounding to nearest ten).

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24. (4 marks)

Pattern: 9,997, 9,998, 9,999, __________, __________

(a) Next two numbers:

• Rule: add 1 each time
• 9,999 + 1 = 10,000
• 10,000 + 1 = 10,001
• Answer: 10,000 and 10,001 ✅ (2 marks)

Marking: 2 marks for both correct. 1 mark if only one is correct. Common mistake: students may write 10,000 and 10,010 (adding 10 instead of 1 after crossing into 5 digits).

(b) Rule: Add 1 to the previous number (or "count on by 1") ✅ (1 mark)

Marking: 1 mark for any equivalent description of the rule.

(c) The first 5-digit number in this pattern:

• 9,999 is the last 4-digit number.
• 9,999 + 1 = 10,000 ✅ (1 mark)

Marking: 1 mark for correct answer.

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25. (4 marks)

Clues: thousands = 2, hundreds = 8, tens = 0, ones = 5

(a) Tom's number: 2,805 ✅ (2 marks)

Marking: 2 marks for correct answer. 1 mark if one digit is in the wrong place.

(b) 2,805 in words: Two thousand, eight hundred and five ✅ (1 mark)

Marking: 1 mark. Accept minor variations (e.g., "two thousand eight hundred five").

(c) Value of digit 8 in 2,805:

• 8 is in the hundreds place.
• Value = 8 × 100 = 800 ✅ (1 mark)

Marking: 1 mark. Common mistake: writing "8" instead of "800".

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Summary of Marks

Section	Description	Marks
A	Multiple Choice (Q1–10)	10
B	Short Answer (Q11–20)	20
C	Structured / Problem-Solving (Q21–25)	20
Total		50

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Common Mistakes to Watch For

1. "Value of digit" vs "digit itself": Students often write the digit (e.g., "6") instead of its value (e.g., "6,000"). Remind students that value = digit × place value.

2. Ascending vs. descending: Students frequently confuse the two. Ascending = smallest to largest; descending = largest to smallest.

3. Rounding errors: Students may look at the wrong digit when rounding (e.g., looking at the ones digit when rounding to the nearest hundred instead of the tens digit).

4. Number words: "Seven thousand and sixty-three" is 7,063, not 7,630. The word "and" typically separates the whole number from the remainder.

5. Crossing into 5 digits: When patterns go from 9,999 to 10,000, students may struggle with the transition. Reinforce that 9,999 + 1 = 10,000.

6. Even/odd confusion: Students may forget that even numbers end in 0, 2, 4, 6, or 8.

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End of Answer Key