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Primary 4 Mathematics Semestral Assessment 2 (End of Year) Paper 5

Free P4 Maths SA2 Paper 5, Nemo3 Exam version, with questions, answers, and syllabus-aligned practice for Singapore students.

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TuitionGoWhere Practice Paper - Mathematics Primary 4 (SA2 Version 5) - Answer Key

Subject: Mathematics
Level: Primary 4
Paper: SA2 (Version 5)
Total Marks: 80

SECTION A: Multiple-Choice Questions (20 marks)

1. In the number 68,429, which digit is in the thousands place? [2]

Answer: (2) 8

Working/Explanation:

  • The number is 68,429.
  • Place values from left to right: Ten thousands (6), Thousands (8), Hundreds (4), Tens (2), Ones (9).
  • The digit in the thousands place is 8.

Common mistake: Confusing "thousands place" with "ten thousands place" (which is 6) or "hundreds place" (which is 4).

2. What does the digit 7 stand for in 57,381? [2]

Answer: (4) 7000

Working/Explanation:

  • The number is 57,381.
  • Place values: Ten thousands (5), Thousands (7), Hundreds (3), Tens (8), Ones (1).
  • The digit 7 is in the thousands place, so its value is 7 × 1,000 = 7,000.

Common mistake: Choosing 700 (hundreds place) or 70 (tens place). Remember: "stand for" asks for the value of the digit, not just the digit itself.

3. Round 42,678 to the nearest hundred. [2]

Answer: (2) 42,700

Working/Explanation:

  • Identify the hundreds digit: 6 (in 42,678).
  • Look at the digit to its right (tens digit): 7.
  • Since 7 ≥ 5, round up the hundreds digit from 6 to 7.
  • Change tens and ones to 0.
  • Result: 42,700.

Common mistake: Rounding down to 42,600 (forgetting that 7 ≥ 5 means round up) or rounding to the nearest thousand (43,000).

4. Which of the following numbers when rounded to the nearest thousand gives 35,000? [2]

Answer: (3) 35,499

Working/Explanation:

  • When rounding to the nearest thousand, look at the hundreds digit.
  • Numbers from 34,500 to 35,499 round to 35,000.
  • Check each option:
    • (1) 34,299 → hundreds digit 2 < 5 → rounds to 34,000 ✗
    • (2) 34,500 → hundreds digit 5 ≥ 5 → rounds to 35,000 ✓ (but wait, 34,500 is the lower bound)
    • (3) 35,499 → hundreds digit 4 < 5 → rounds to 35,000 ✓
    • (4) 35,500 → hundreds digit 5 ≥ 5 → rounds to 36,000 ✗
  • Both (2) and (3) round to 35,000. However, in standard MCQ design, only one answer is correct. Re-checking: 34,500 rounds to 35,000 (since 5 rounds up). 35,499 rounds to 35,000 (since 4 rounds down). Both are technically correct. But typically, questions ask for a number that definitely rounds to 35,000 and is within the range. 35,499 is safely in the middle of the upper half. 34,500 is the boundary. Given standard exam practice, 35,499 is the intended answer as it's unambiguously in the range 35,000–35,499.

Marking note: If both (2) and (3) are mathematically correct, the question has a flaw. For this answer key, (3) is the intended answer.

5. 63,000 + 4,000 + 800 + 50 + 2 = __________ [2]

Answer: (1) 67,852 (All options are identical in the question; correct value is 67,852)

Working/Explanation:

  • Add by place value:
    • Ten thousands: 60,000
    • Thousands: 3,000 + 4,000 = 7,000
    • Hundreds: 800
    • Tens: 50
    • Ones: 2
  • Total: 60,000 + 7,000 + 800 + 50 + 2 = 67,852

6. Find the value of 84,500 − 27,800. [2]

Answer: (1) 56,700

Working/Explanation:

  84,500
- 27,800
--------
  56,700
  • Subtract thousands: 84,000 − 27,000 = 57,000
  • Subtract hundreds: 500 − 800 → need to regroup: 1,500 − 800 = 700 (and reduce thousands by 1)
  • 57,000 − 1,000 = 56,000; 56,000 + 700 = 56,700

Alternative: 84,500 − 27,800 = (84,500 − 27,500) − 300 = 57,000 − 300 = 56,700.

7. A factory produced 12,450 toys in January. It produced 3,800 more toys in February than in January. How many toys did the factory produce in February? [2]

Answer: (3) 16,250

Working/Explanation:

  • January: 12,450 toys
  • February: 12,450 + 3,800 = 16,250 toys
  • Key phrase: "more ... than" means addition.

Common mistake: Subtracting instead of adding (getting 8,650).

8. What is the missing number in the pattern below? [2]

24,500, 25,000, 25,500, ______, 26,500 Answer: (3) 26,000

Working/Explanation:

  • Find the difference between consecutive terms:
    • 25,000 − 24,500 = 500
    • 25,500 − 25,000 = 500
  • Rule: Add 500 each time.
  • Missing number: 25,500 + 500 = 26,000
  • Check: 26,000 + 500 = 26,500 ✓

9. 72 × 40 = __________ [2]

Answer: (1) 2,880

Working/Explanation:

  • 72 × 40 = 72 × 4 × 10
  • 72 × 4 = 288
  • 288 × 10 = 2,880

Common mistake: 72 × 4 = 288, then forgetting to multiply by 10 (getting 288), or misplacing the zero (getting 2,088 or 2,808).

10. A number when divided by 8 gives a quotient of 1,250 and a remainder of 5. What is the number? [2]

Answer: (1) 10,005

Working/Explanation:

  • Formula: Dividend = Divisor × Quotient + Remainder
  • Divisor = 8, Quotient = 1,250, Remainder = 5
  • Number = 8 × 1,250 + 5
  • 8 × 1,250 = 10,000
  • 10,000 + 5 = 10,005

Check: 10,005 ÷ 8 = 1,250 remainder 5 ✓

SECTION B: Short Answer Questions (25 marks)

11. Write 84,307 in words. [1]

Answer: Eighty-four thousand, three hundred and seven

Explanation:

  • 84,000 = Eighty-four thousand
  • 300 = three hundred
  • 7 = seven
  • Use commas to separate thousands, and "and" before the last two digits (tens/ones) in British/Singapore convention.

12. In 92,540, the digit 9 is in the __________ place. [1]

Answer: ten thousands

Explanation:

  • Place values: 9 (ten thousands), 2 (thousands), 5 (hundreds), 4 (tens), 0 (ones).
  • The digit 9 is in the ten thousands place. Its value is 90,000.

13. Round 59,999 to the nearest thousand. [1]

Answer: 60,000

Working/Explanation:

  • Thousands digit: 9 (in 59,999)
  • Hundreds digit: 9 (≥ 5, so round up)
  • Rounding up 59,000 by 1,000 gives 60,000.
  • Note: This causes a cascade: 59,999 → 60,000.

14. Find the value of 48,000 + 3,600 + 70 + 5. [1]

Answer: 51,675

Working/Explanation:

  • 48,000 + 3,600 = 51,600
  • 51,600 + 70 = 51,670
  • 51,670 + 5 = 51,675

15. Complete the number pattern. [2]

62,000, 61,500, 61,000, ________, 60,000, ________ Answer: 60,500, 59,500

Working/Explanation:

  • Differences: 61,500 − 62,000 = −500; 61,000 − 61,500 = −500
  • Rule: Subtract 500 each time.
  • 61,000 − 500 = 60,500
  • 60,000 − 500 = 59,500

16. What is the remainder when 37,845 is divided by 6? [2]

Answer: 3

Working/Explanation:

  • Divisibility test for 6: Must be divisible by 2 and 3.
  • 37,845 is odd → not divisible by 2 → not divisible by 6.
  • Long division:
    • 37,845 ÷ 6
    • 6 × 6,000 = 36,000; remainder 1,845
    • 6 × 300 = 1,800; remainder 45
    • 6 × 7 = 42; remainder 3
  • Quotient = 6,307, Remainder = 3.

Alternative: Sum of digits = 3+7+8+4+5 = 27 (divisible by 3). Last digit 5 (odd). So divisible by 3 but not 2. 37,845 ÷ 3 = 12,615. 12,615 ÷ 2 = 6,307 remainder 1 → original remainder = 1 × 3 = 3.

17. A book has 324 pages. Peter reads 12 pages every day. How many days will he take to finish reading the book? [2]

Answer: 27 days

Working/Explanation:

  • Total pages = 324
  • Pages per day = 12
  • Days = 324 ÷ 12
  • 324 ÷ 12 = (300 ÷ 12) + (24 ÷ 12) = 25 + 2 = 27
  • Check: 27 × 12 = 324 ✓

18. Find the product of 248 and 35. [2]

Answer: 8,680

Working/Explanation:

    248
  ×  35
  -----
   1240  (248 × 5)
  7440   (248 × 30)
  -----
   8680
  • 248 × 5 = 1,240
  • 248 × 30 = 7,440
  • 1,240 + 7,440 = 8,680

19. There are 4,560 apples. They are packed equally into 8 boxes. How many apples are there in each box? [2]

Answer: 570 apples

Working/Explanation:

  • Total apples = 4,560
  • Number of boxes = 8
  • Apples per box = 4,560 ÷ 8
  • 4,560 ÷ 8 = (4,000 ÷ 8) + (560 ÷ 8) = 500 + 70 = 570
  • Check: 570 × 8 = 4,560 ✓

20. Study the number pattern below. [3]

48,000, 47,600, 47,200, 46,800, ________, ________ (a) What is the rule of the pattern?
Answer: Subtract 400 each time. (or "The pattern decreases by 400.")

(b) Fill in the two missing numbers.
Answer: 46,400, 46,000

Working/Explanation:

  • Differences: 47,600 − 48,000 = −400; 47,200 − 47,600 = −400; 46,800 − 47,200 = −400
  • Rule: Subtract 400.
  • 1st missing: 46,800 − 400 = 46,400
  • 2nd missing: 46,400 − 400 = 46,000

SECTION C: Structured / Long Answer Questions (35 marks)

21. Mr Tan had 45,000 stickers. He gave 12,350 stickers to his son and 8,750 stickers to his daughter. [4]

(a) How many stickers did he give away altogether?
Answer: 21,100 stickers

Working:

  • Son: 12,350
  • Daughter: 8,750
  • Total given = 12,350 + 8,750 = 21,100

(b) How many stickers had he left?
Answer: 23,900 stickers

Working:

  • Initial: 45,000
  • Given away: 21,100
  • Left = 45,000 − 21,100 = 23,900

Check: 23,900 + 21,100 = 45,000 ✓

22. A library has 28,450 English books. It has 12,300 fewer Chinese books than English books. [4]

(a) How many Chinese books are there in the library?
Answer: 16,150 Chinese books

Working:

  • English books = 28,450
  • "Fewer" means subtract.
  • Chinese books = 28,450 − 12,300 = 16,150

(b) What is the total number of English and Chinese books in the library?
Answer: 44,600 books

Working:

  • Total = English + Chinese = 28,450 + 16,150 = 44,600

Alternative: Total = 28,450 + (28,450 − 12,300) = 56,900 − 12,300 = 44,600.

23. A factory produces 1,250 bottles of juice each day. [5]

(a) How many bottles of juice does the factory produce in 6 days?
Answer: 7,500 bottles

Working:

  • Daily production = 1,250
  • 6 days = 1,250 × 6 = 7,500
  • 1,250 × 6 = (1,000 × 6) + (250 × 6) = 6,000 + 1,500 = 7,500

(b) The bottles are packed into cartons of 8 bottles each. How many cartons are needed to pack all the bottles produced in 6 days?
Answer: 938 cartons (with 4 bottles left over, but cartons needed = 938)

Working:

  • Total bottles = 7,500
  • Bottles per carton = 8
  • Cartons needed = 7,500 ÷ 8
  • 7,500 ÷ 8 = 937 remainder 4
  • Since 4 bottles remain, they need 1 more carton.
  • Total cartons = 937 + 1 = 938 cartons

Marking note: If student answers 937 cartons, deduct 1 mark for not accounting for the remainder (incomplete carton still needs a carton). Full marks for 938.

24. Mrs Lim bought 36 boxes of chocolates. Each box contained 24 chocolates. She repacked all the chocolates into packets of 9 chocolates each. [6]

(a) How many chocolates did Mrs Lim buy altogether?
Answer: 864 chocolates

Working:

  • Boxes = 36
  • Chocolates per box = 24
  • Total = 36 × 24
  • 36 × 24 = 36 × (20 + 4) = 720 + 144 = 864
  • Or: 36 × 24 = (30 × 24) + (6 × 24) = 720 + 144 = 864

(b) How many packets of 9 chocolates did she get?
Answer: 96 packets

Working:

  • Total chocolates = 864
  • Chocolates per packet = 9
  • Packets = 864 ÷ 9 = 96
  • 864 ÷ 9: 9 × 90 = 810; 864 − 810 = 54; 9 × 6 = 54; 90 + 6 = 96

(c) How many chocolates were left unpacked?
Answer: 0 chocolates

Working:

  • 864 ÷ 9 = 96 exactly (remainder 0).
  • 0 chocolates left.

25. The total mass of 5 identical boxes and 3 identical bags is 42 kg. The mass of each box is 6 kg. [6]

(a) What is the total mass of the 5 boxes?
Answer: 30 kg

Working:

  • Mass of 1 box = 6 kg
  • Mass of 5 boxes = 5 × 6 = 30 kg

(b) What is the total mass of the 3 bags?
Answer: 12 kg

Working:

  • Total mass = 42 kg
  • Mass of 5 boxes = 30 kg
  • Mass of 3 bags = 42 − 30 = 12 kg

(c) What is the mass of each bag?
Answer: 4 kg

Working:

  • Mass of 3 bags = 12 kg
  • Mass of 1 bag = 12 ÷ 3 = 4 kg

Check: 5 boxes × 6 kg = 30 kg; 3 bags × 4 kg = 12 kg; Total = 42 kg ✓

END OF ANSWER KEY