Primary 4 Mathematics Semestral Assessment 2 (End of Year) Paper 3

TuitionGoWhere Practice Paper - Mathematics Primary 4 — Answer Key

SA2 Practice — Whole Numbers (Version 3 of 5) Total Marks: 40

Marking Principles

• Award method marks for correct working even if there is a small arithmetic slip in the final step.
• Accept any valid alternative method that reaches the same answer.
• Units (stamps, marbles, books) are required in Section C final statements.
• Numbers must be written unambiguously (use commas or clear spacing for 5-digit numbers).

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Section A (Questions 1–5) — 5 marks

Question 1 (1 mark)

Answer: Option (2) — 4

• Method: Label the places from the right: 7 ones, 1 tens, 3 hundreds, 4 thousands, 8 ten thousands.
• Teaching note: Place value tells us what each digit is worth based on its position. In 84,317 the fourth digit from the right sits in the thousands place.
• Common mistake: Confusing the thousands place with the ten thousands place (that would give 8).

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TuitionGoWhere Practice Paper - Mathematics Primary 4 — Answer Key

SA2 Practice — Whole Numbers (Version 3 of 5) Total Marks: 40

Marking Principles

• Award method marks for correct working even if there is a small arithmetic slip in the final step.
• Accept any valid alternative method that reaches the same answer.
• Units (stamps, marbles, books) are required in Section C final statements.
• Numbers must be written unambiguously (use commas or clear spacing for 5-digit numbers).

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Section A (Questions 1–5) — 5 marks

Question 1 (1 mark)

Answer: Option (2) — 4

• Method: Label the places from the right: 7 ones, 1 tens, 3 hundreds, 4 thousands, 8 ten thousands.
• Teaching note: Place value tells us what each digit is worth based on its position. In 84,317 the fourth digit from the right sits in the thousands place.
• Common mistake: Confusing the thousands place with the ten thousands place (that would give 8).

Question 2 (1 mark)

Answer: Option (3) — 900

• Method: In 57,942 the digit 9 is in the hundreds place, so it stands for 9 × 100 = 900.
• Teaching note: "What does the digit stand for" asks for its value, not just the digit.
• Common mistake: Writing just 9 instead of 900.

Question 3 (1 mark)

Answer: Option (3) — 49,000

• Method: Look at the hundreds digit (5). Since 5 ≥ 5, round the thousands digit up: 48,562 → 49,000.
• Teaching note: When rounding to the nearest thousand, only the hundreds digit decides the direction.
• Common mistake: Rounding to the nearest hundred instead (48,600).

Question 4 (1 mark)

Answer: Option (2) — 39,850

• Method: Compare from the left. All begin 3; three begin 39. Among 39,805 / 39,850 / 39,085, compare tens: 5 > 0 > 0, so 39,850 is greatest.
• Teaching note: Always compare the largest place value first.
• Common mistake: Choosing 39,805 by glancing at only the first few digits.

Question 5 (1 mark)

Answer: Option (2) — 26,900

• Method: Differences: 25,300 − 24,500 = 800; 26,100 − 25,300 = 800. Rule: add 800. Missing number = 26,100 + 800 = 26,900.
• Teaching note: Find the rule first, then apply it one more time.
• Common mistake: Adding 700 or skipping a term in the pattern.

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Section B (Questions 6–15) — 15 marks

Question 6 (1 mark)

Answer: 62,045

• Method: "Sixty-two thousand" = 62,000; "and forty-five" = 45. Combine: 62,045.
• Common mistake: Writing 62,450 (digits reversed) or 62,405.

Question 7 (1 mark)

Answer: 27,300

• Method: Tens digit is 4 (< 5), so round down: 27,349 → 27,300.
• Common mistake: Looking at the ones digit (9) and rounding up to 27,400.

Question 8 (1 mark)

Answer: 1,054

• Working: 6,324 ÷ 6: 6÷6 = 1; 3÷6 = 0 r3; 32÷6 = 5 r2; 24÷6 = 4. Quotient = 1,054.
• Check: 1,054 × 6 = 6,324 ✓
• Common mistake: Dropping the placeholder zero (writing 154).

Question 9 (1 mark)

Answer: 27,776

• Working: 3,472 × 8: units 8×2=16 (write 6, carry 1); tens 8×7+1=57 (write 7, carry 5); hundreds 8×4+5=37 (write 7, carry 3); thousands 8×3+3=27. Result: 27,776.
• Common mistake: Losing a carry, e.g. writing 27,216.

Question 10 (1 mark)

Answer: 1, 2, 4, 7, 14, 28

• Method: Test divisors in pairs: 1×28, 2×14, 4×7. No other whole-number pairs work.
• Common mistake: Omitting 1 or 28, or listing multiples instead of factors.

Question 11 (2 marks)

Answer: 24,350

• Working: Column subtraction with renaming across the zeros: 42,000 − 17,650 = 24,350.
• Check: 24,350 + 17,650 = 42,000 ✓
• Common mistake: Renaming errors across the three zeros in 42,000.

Question 12 (2 marks)

Answer: 12 and 24

• Method: Multiples of 4: 4, 8, 12, 16, 20, 24, … Multiples of 6: 6, 12, 18, 24, … Numbers in both lists: 12, 24.
• Teaching note: The first common multiple is the lowest common multiple; LCM(4, 6) = 12.
• Common mistake: Giving 4 and 6 themselves, or giving only one multiple when two were asked for.

Question 13 (2 marks)

Answer: 70,505 ; 70,550 ; 75,007 ; 75,700

• Method: Thousands digit first: all 70,… come before 75,…. Within 70,…: hundreds equal (5), compare tens: 0 < 5 → 70,505 < 70,550. Within 75,…: hundreds equal (7), compare tens: 0 < 7 → 75,007 < 75,700.
• Common mistake: Misordering 70,505 and 70,550 by careless left-to-right reading.

Question 14 (2 marks)

Answers: (a) 89,512 ≈ 89,500 (b) 89,512 ≈ 90,000

• Method: (a) Tens digit 1 (< 5): round down to the nearest hundred. (b) Hundreds digit 5 (≥ 5): round up to the nearest thousand.
• Teaching note: The same number rounds differently depending on the target place.
• Common mistake: Using the same deciding digit for both parts.

Question 15 (2 marks)

Answer: Remainder = 5

• Working: 7,583 ÷ 9: 9 × 800 = 7,200 → 383 left 9 × 40 = 360 → 23 left 9 × 2 = 18 → 5 left So 7,583 = 9 × 842 + 5.
• Check: Remainder 5 < 9 ✓; 842 × 9 + 5 = 7,583 ✓
• Common mistake: Giving the quotient (842) instead of the remainder.

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Section C (Questions 16–20) — 20 marks

Question 16 (4 marks)

Answer: 625 stamps per album

• Working: Stamps left: 5,000 − 1,250 = 3,750 Per album: 3,750 ÷ 6 = 625
• Statement: There were 625 stamps in each album.
• Marks guide: Subtraction (1), division (1), correct answer (1), unit/statement (1).
• Common mistake: Dividing 5,000 by 6 without subtracting first.

Question 17 (4 marks)

Answer: 96 marbles

• Working: Multiples of 8: 8, 16, 24, …, 88, 96 Multiples of 12: 12, 24, …, 84, 96 Common multiples below 100: 24, 48, 72, 96. Greatest = 96.
• Statement: The greatest possible number of marbles is 96.
• Marks guide: Recognising common multiples of 8 and 12 (2), choosing greatest under 100 (1), statement (1).
• Common mistake: Giving 72 (common multiple but not greatest) or 104 (exceeds 100).

Question 18 (4 marks)

Answer: 660

• Working: Reverse the steps: 5,600 + 340 = 5,940 5,940 ÷ 9 = 660
• Check: 660 × 9 − 340 = 5,940 − 340 = 5,600 ✓
• Statement: Her number was 660.
• Marks guide: Reversing subtraction (+340) (1), dividing by 9 (1), answer (1), check/statement (1).
• Common mistake: Subtracting 340 a second time instead of adding it back.

Question 19 (4 marks)

Answer: 7,680 books

• Working: Undo the changes from the end: 8,795 + 1,365 = 10,160 (before lending out) 10,160 − 2,480 = 7,680 (before receiving new books)
• Check: 7,680 + 2,480 − 1,365 = 10,160 − 1,365 = 8,795 ✓
• Statement: The library had 7,680 books at first.
• Marks guide: Correct undo operations (2), answer (1), check/statement (1).
• Common mistake: Subtracting both 2,480 and 1,365 from 8,795 (giving 4,950).

Question 20 (4 marks)

Answer: 64,349

• Explanation: Rounded to the nearest hundred, the number becomes 64,300, so it must lie between 64,250 and 64,349 inclusive. Rounded to the nearest thousand, it becomes 64,000, so it must be below 64,500 — every number from 64,250 to 64,349 already satisfies this. Therefore the greatest possible value is 64,349.
• Check: 64,349 → nearest hundred: tens digit 4, round down → 64,300 ✓; nearest thousand: hundreds digit 3, round down → 64,000 ✓
• Marks guide: Finding the range from the nearest-hundred clue (2), verifying the nearest-thousand clue (1), greatest value with explanation (1).
• Common mistake: Answering 64,300 (the rounded value, not the mystery number) or 64,499 (which rounds to 64,500 at the nearest hundred).

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— End of Answer Key —