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Primary 4 Mathematics Practice Paper 5

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TuitionGoWhere Practice Paper - Mathematics Primary 4 (Answer Key)

Subject: Mathematics
Level: Primary 4
Paper: Practice Paper — Whole Numbers (up to 100,000) — Version 5
Total Marks: 50

Section A: Multiple-Choice Questions (10 marks)

1. Answer: (1) 6 [2]
Explanation: In the number 64,289, the digits from left to right are: 6 (ten thousands), 4 (thousands), 2 (hundreds), 8 (tens), 9 (ones). The digit in the ten thousands place is 6.
Common mistake: Confusing "ten thousands" with "thousands" place.

2. Answer: (1) 37,000 [2]
Explanation: To round 37,452 to the nearest thousand, look at the hundreds digit (4). Since 4 < 5, we round down. The thousands digit (7) stays the same, and all digits to the right become 0. So 37,452 ≈ 37,000.
Common mistake: Rounding up because the tens digit is 5, but we only look at the hundreds digit when rounding to the nearest thousand.

3. Answer: (1) 45,678 [2]
Explanation: Compare numbers digit by digit from left to right. All numbers have 45,___ so compare the hundreds digit: 6, 6, 7, 7. The smallest hundreds digit is 6. Between 45,678 and 45,687, compare tens: 7 < 8, so 45,678 is the smallest.

4. Answer: (4) 8,000 [2]
Explanation: In 58,391, the digit 8 is in the thousands place. Its value is 8 × 1,000 = 8,000.
Common mistake: Choosing 800 (hundreds place) or 80 (tens place) by misidentifying the place value.

5. Answer: (1) 75,456 [2]
Explanation: Add by place value:
72,000 + 3,000 = 75,000
75,000 + 400 = 75,400
75,400 + 50 = 75,450
75,450 + 6 = 75,456
Alternatively: 72,000 + 3,456 = 75,456.

Section B: Short-Answer Questions (20 marks)

6. Answer: Eighty-four thousand, three hundred and seven [2]
Explanation: Write the number in words by place value groups: 84 (thousands) → "eighty-four thousand", 307 → "three hundred and seven". Remember to use "and" before the last two digits when there are hundreds but no tens (or when tens and ones are not zero).
Marking: 1 mark for "eighty-four thousand", 1 mark for "three hundred and seven".

7. Answer: 500 (or five hundred) [2]
Explanation: In 92,546, the digit 5 is in the hundreds place. Its value is 5 × 100 = 500.
Marking: 1 mark for identifying hundreds place, 1 mark for correct value (500).

8. Answer: 48,700 [2]
Explanation: To round 48,673 to the nearest hundred, look at the tens digit (7). Since 7 ≥ 5, round up. The hundreds digit (6) increases by 1 to become 7, and the tens and ones become 0. So 48,673 ≈ 48,700.
Common mistake: Rounding down to 48,600 by looking at the ones digit instead of the tens digit.

9. Answer: 36,842 ; 36,768 ; 36,482 ; 36,428 [2]
Wait — correction: The numbers given are 36,482 ; 36,842 ; 36,284 ; 36,428.
Comparing thousands: all 36.
Hundreds: 4, 8, 2, 4 → greatest is 8 (36,842).
Next compare 36,482 and 36,428 (both have 4 hundreds): tens digit 8 > 2, so 36,482 > 36,428.
Smallest is 36,284 (2 hundreds).
Correct order (greatest to smallest): 36,842 ; 36,482 ; 36,428 ; 36,284
Marking: 2 marks for fully correct order; 1 mark for 3 out of 4 correct.

10. Answer: 63,310 [2]
Working:

  24,568
+ 38,742
--------
  63,310

Explanation: Add column by column from right: 8+2=10 (write 0, carry 1); 6+4+1=11 (write 1, carry 1); 5+7+1=13 (write 3, carry 1); 4+8+1=13 (write 3, carry 1); 2+3+1=6.
Marking: 1 mark for correct method/working, 1 mark for correct answer.

11. Answer: 30,124 [2]
Working:

  50,000
- 19,876
--------
  30,124

Explanation: Subtract with regrouping. Since we cannot subtract 6 from 0 in the ones place, we regroup from the tens, but tens is also 0, so we continue regrouping from hundreds, then thousands, then ten thousands.
50,000 = 40,000 + 9,000 + 900 + 90 + 10
Then: 10−6=4, 90−70=20, 900−800=100, 9,000−9,000=0, 40,000−10,000=30,000 → 30,124.
Marking: 1 mark for correct working, 1 mark for correct answer.

12. Answer: 25,962 [2]
Working:

  4,327
×     6
-------
 25,962

Explanation: Multiply each digit by 6 from right to left with carrying: 7×6=42 (write 2, carry 4); 2×6=12+4=16 (write 6, carry 1); 3×6=18+1=19 (write 9, carry 1); 4×6=24+1=25.
Marking: 1 mark for correct working, 1 mark for correct answer.

13. Answer: 4,560 [2]
Working:

8 ) 36,480
    32
    --
     44
     40
     --
      48
      48
      --
       0

Explanation: Long division: 36÷8=4 remainder 4; bring down 4 → 44÷8=5 remainder 4; bring down 8 → 48÷8=6; bring down 0 → 0÷8=0.
Check: 4,560 × 8 = 36,480 ✓
Marking: 1 mark for correct working, 1 mark for correct answer.

14. Answer: 55,500 [2]
Explanation: When a number rounds to 56,000 to the nearest thousand, the original number could be from 55,500 to 56,499. The smallest possible value is 55,500.
Reasoning: At 55,500, the hundreds digit is 5, so we round up to 56,000. Any number less than 55,500 (e.g., 55,499) would round down to 55,000.
Common mistake: Answering 55,000 (which rounds to 55,000, not 56,000).

15. Answer: 41,109 [2]
Working:
Larger number = Smaller number + Difference
= 28,764 + 12,345
= 41,109
Check: 41,109 − 28,764 = 12,345 ✓
Marking: 1 mark for correct method (addition), 1 mark for correct answer.

Section C: Problem-Solving Questions (20 marks)

16. (a) Answer: 84,054 books [2]
Working:
48,765 + 35,289 = 84,054

  48,765
+ 35,289
--------
  84,054

Explanation: Add the books in both sections to find the total.

(b) Answer: 71,604 books [2]
Working:
84,054 − 12,450 = 71,604

  84,054
- 12,450
--------
  71,604

Explanation: Subtract the borrowed books from the total to find books left.
Marking for Q16: 2 marks each part (1 for method, 1 for answer). Follow-through allowed: if (a) is wrong but (b) correctly subtracts 12,450 from (a)'s answer, award method mark for (b).

17. (a) Answer: 72,150 toys [2]
Working:
84,500 − 12,350 = 72,150

  84,500
- 12,350
--------
  72,150

Explanation: February production is 12,350 fewer than January.

(b) Answer: 156,650 toys [2]
Working:
84,500 + 72,150 = 156,650

  84,500
+ 72,150
--------
 156,650

Explanation: Add January and February production for the two-month total.
Marking for Q17: 2 marks each part. Follow-through from (a) to (b) allowed.

18. (a) Answer: $7,470 [2]
Working:
1,245 × 6 = 7,470

  1,245
×     6
-------
  7,470

Explanation: Multiply the cost of one laptop by 6 to find the total cost.

(b) **Answer: 2,530∗∗[2]∗∗Working:∗∗Amountpaid=10×2,530** [2] **Working:** Amount paid = 10 × 1,000 = 10,000Change=10,000 Change = 10,000 − 7,470=7,470 = 2,530

 10,000
-  7,470
--------
  2,530

Explanation: Subtract the total cost from the amount paid.
Marking for Q18: 2 marks each part. Follow-through from (a) to (b) allowed.

19. (a) Answer: 10,155 seats [2]
Working:
48,000 − 37,845 = 10,155

  48,000
- 37,845
--------
  10,155

Explanation: Subtract occupied seats from total seats to find empty seats.

(b) Answer: 2,031 seats [2]
Working:
10,155 ÷ 5 = 2,031

5 ) 10,155
    10
    --
     01
      0
     --
      15
      15
      --
       05
        5
        --
         0

Explanation: Divide the empty seats equally among 5 sections.
Check: 2,031 × 5 = 10,155 ✓
Marking for Q19: 2 marks each part. Follow-through from (a) to (b) allowed.

20. (a) **Answer: 81,340∗∗[2]∗∗Working:∗∗81,340** [2] **Working:** 68,450 + 12,890=12,890 = 81,340

  68,450
+ 12,890
--------
  81,340

Explanation: Add the cost of the car and motorcycle.

(b) **Answer: Yes, he has enough. He will have 3,660left.∗∗[2]∗∗Working:∗∗3,660 left.** [2] **Working:** 85,000 − 81,340=81,340 = 3,660

  85,000
- 81,340
--------
   3,660

Explanation: Compare Mr Lim's money (85,000)withthetotalcost(85,000) with the total cost (81,340). Since 85,000 > 81,340, he has enough. Subtract to find the remainder.
Marking for Q20: 2 marks for (a), 2 marks for (b) — 1 mark for "Yes", 1 mark for correct amount left ($3,660). Follow-through from (a) to (b) allowed.

Marking Summary

  • Section A (Q1–5): 5 × 2 = 10 marks
  • Section B (Q6–15): 10 × 2 = 20 marks
  • Section C (Q16–20): 5 × 4 = 20 marks
  • Total: 50 marks

General Marking Notes for Teachers

  1. Follow-through marks: In multi-part questions, if a student makes an error in an earlier part but uses that answer correctly in a later part, award the method mark(s) for the later part.
  2. Working: For 2-mark questions, award 1 mark for correct method/working shown, 1 mark for correct final answer. For 4-mark questions (2+2), apply the same principle per sub-part.
  3. Units: For money questions, answers must include the dollar sign ($) or the word "dollars". For other quantities, include the unit (books, toys, seats).
  4. Number words: In Q6, accept "Eighty-four thousand three hundred and seven" or "Eighty-four thousand, three hundred and seven" (comma optional). Do not accept "Eighty four thousand..." (missing hyphen in eighty-four).
  5. Rounding questions: Ensure students understand which digit to look at (the digit to the right of the target place value).