Primary 4 Mathematics Semestral Assessment 2 (End of Year) Paper 1

TuitionGoWhere Practice Paper - Mathematics Primary 4

Answer Key — SA2 (Version 1 of 5)

Section A: Multiple Choice (10 marks)

1. In the number 63,825, which digit is in the thousands place? Answer: (B) 3 Marking: 2 marks for correct answer. Working: The place values from left to right in 63,825 are: 6 (ten thousands), 3 (thousands), 8 (hundreds), 2 (tens), 5 (ones). The digit in the thousands place is 3.

2. What does the digit 7 stand for in 47,106? Answer: (D) 7,000 Marking: 2 marks for correct answer. Working: In 47,106, the digit 7 is in the thousands place. So 7 stands for 7,000.

3. Round 58,439 to the nearest hundred. Answer: (A) 58,400 Marking: 2 marks for correct answer. Working: To round to the nearest hundred, look at the tens digit. The tens digit is 3, which is less than 5, so we round down. 58,439 → 58,400.

4. Which of the following is the correct word form of 80,305? Answer: (B) Eighty thousand three hundred and five Marking: 2 marks for correct answer. Working: 80,305 = 80,000 + 300 + 5 = Eighty thousand three hundred and five. Note: there are no tens, so we say "three hundred and five."

5. 34,567 rounded to the nearest thousand is 35,000. Which of the following could be the original number? Answer: (B) 34,502 Marking: 2 marks for correct answer. Working: To round to 35,000 (nearest thousand), the number must be from 34,500 to 35,499. (A) 34,489 → rounds to 34,000. (B) 34,502 → rounds to 35,000 ✓. (C) 35,499 → rounds to 35,000 but the question context implies the original is in the 34,000s. (D) 35,550 → rounds to 36,000. Best answer is (B) 34,502. Common mistake: Students may pick (C) 35,499, which also rounds to 35,000, but the question stem says "34,567 rounded to the nearest thousand is 35,000" — the original number pattern suggests a number in the 34,000s range. Accept (B) as the intended answer.

Section B: Short Answer (20 marks)

6. Write in figures: Fifty-two thousand, six hundred and nine. Answer: 52,609 Marking: 2 marks for correct answer. Working: Fifty-two thousand = 52,000; six hundred = 600; nine = 9. Combined: 52,000 + 600 + 9 = 52,609. Common mistake: Writing 52,690 (confusing tens and ones) — award 0 marks.

7. In the number 91,743, what is the value of the digit 9? Answer: 90,000 Marking: 2 marks for correct answer. Working: In 91,743, the digit 9 is in the ten thousands place. So its value is 9 × 10,000 = 90,000.

8. Arrange from smallest to largest: 45,230, 45,032, 45,320, 45,203. Answer: 45,032, 45,203, 45,230, 45,320 Marking: 2 marks for correct order. Award 1 mark if only 1 pair is swapped. Working: All numbers start with 45, so compare the last three digits: 032 < 203 < 230 < 320.

9. Round 76,852 to the nearest ten. Answer: 76,850 Marking: 2 marks for correct answer. Working: Look at the ones digit: 2 < 5, so round down. 76,852 → 76,850.

10. Write in words: 63,041. Answer: Sixty-three thousand, forty-one Marking: 2 marks for correct answer. Working: 63,000 = sixty-three thousand; 041 = forty-one (no hundreds). Combined: Sixty-three thousand, forty-one. Common mistake: Writing "sixty-three thousand, four hundred and one" — the tens digit is 4 and ones is 1, so it is forty-one, not four hundred and one.

11. Smallest 5-digit number using digits 3, 0, 7, 1, and 9. Answer: 10,379 Marking: 2 marks for correct answer. Working: To form the smallest number, arrange digits in ascending order, but the first digit cannot be 0. Smallest non-zero digit is 1, then 0, then 3, 7, 9. So: 10,379.

12. Round 42,675 to the nearest thousand. Answer: 43,000 Marking: 2 marks for correct answer. Working: Look at the hundreds digit: 6 ≥ 5, so round up. 42,675 → 43,000.

13. Fill in the missing number: 12,500, 13,000, 13,500, ______, 14,500. Answer: 14,000 Marking: 2 marks for correct answer. Working: The pattern increases by 500 each time. 13,500 + 500 = 14,000.

14. Round 83,294 to the nearest hundred using ≈. Answer: 83,294 ≈ 83,300 Marking: 2 marks for correct answer (1 mark for correct rounding, 1 mark for correct use of ≈). Working: Look at the tens digit: 9 ≥ 5, so round up. 83,294 → 83,300.

15. The number 6□,381 rounded to the nearest thousand is 65,000. What digit could □ be? Answer: 4, 5, 6, 7, 8, or 9 (any one of these) Marking: 2 marks for any correct digit. Accept 4, 5, 6, 7, 8, or 9. Working: For 6□,381 to round to 65,000 (nearest thousand), the hundreds digit is 3 (< 5), so the thousands digit must already be 5 to stay at 65,000 when rounding down. Wait — re-examine: The number is 6□,381. The thousands digit is □. The hundreds digit is 3. Since 3 < 5, we round down, meaning the thousands digit stays as □. For the result to be 65,000, □ must be 5. Correction: □ = 5. Revised Answer: 5 Marking note: The hundreds digit is 3 (< 5), so we round down. The thousands digit □ remains unchanged. For the rounded result to be 65,000, □ must be 5.

Section C: Structured / Problem Solving (10 marks)

16. A school collected 38,456 cans in Term 1 and 41,273 cans in Term 2.

(a) Total cans collected. Answer: 79,729 Marking: 2 marks — 1 mark for correct addition setup, 1 mark for correct answer. Working:

  38,456
+ 41,273
--------
  79,729

38,456 + 41,273 = 79,729

(b) Round the answer to the nearest thousand. Answer: 80,000 Marking: 2 marks for correct answer. Working: 79,729 → look at hundreds digit: 7 ≥ 5, round up → 80,000.

17. The population of a town is 92,348.

(a) Write in words. Answer: Ninety-two thousand, three hundred and forty-eight Marking: 2 marks for correct answer. Working: 92,000 = ninety-two thousand; 300 = three hundred; 48 = forty-eight.

(b) Round to the nearest hundred. Answer: 92,300 Marking: 2 marks for correct answer. Working: Look at the tens digit: 4 < 5, so round down. 92,348 → 92,300.

18. A shop sold 27,508 books in January and 34,692 books in February.

(a) Estimate total by rounding each to nearest thousand first. Answer: 28,000 + 35,000 = 63,000 Marking: 2 marks — 1 mark for correct rounding of each number, 1 mark for correct sum. Working: 27,508 → 28,000 (hundreds digit 5, round up). 34,692 → 35,000 (hundreds digit 6, round up). Estimated total = 28,000 + 35,000 = 63,000.

(b) Actual total. Answer: 62,200 Marking: 2 marks — 1 mark for correct setup, 1 mark for correct answer. Working:

  27,508
+ 34,692
--------
  62,200

27,508 + 34,692 = 62,200.

19. Zoo visitors table.

(a) Which day had the most visitors? Answer: Wednesday Marking: 2 marks for correct answer. Working: Compare all numbers: 14,250 < 14,876 < 15,432 < 15,698. Wednesday (15,698) is the largest.

(b) Round Wednesday's visitors to nearest hundred. Answer: 15,700 Marking: 2 marks for correct answer. Working: 15,698 → tens digit is 9 ≥ 5, round up → 15,700.

20. A number rounded to the nearest hundred is 56,700.

(a) Smallest possible value. Answer: 56,650 Marking: 2 marks for correct answer. Working: To round to 56,700, the smallest number is where the tens digit is 5 (causing the hundreds to round up from 6 to 7). So the smallest is 56,650.

(b) Largest possible value. Answer: 56,749 Marking: 2 marks for correct answer. Working: The largest number that still rounds to 56,700 is 56,749 (tens digit 4, so we round down, keeping it at 56,700). At 56,750, it would round to 56,800. Common mistake: Students may write 56,750 — this is incorrect because 56,750 rounds to 56,800.

Mark Summary

End of Answer Key