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Primary 3 Mathematics Semestral Assessment 2 (End of Year) Paper 5
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Questions
TuitionGoWhere Practice Paper - Mathematics Primary 3
TuitionGoWhere Exam Practice (AI)
Subject: Mathematics
Level: Primary 3
Paper: SA2 Version 5
Duration: 1 hour 30 minutes
Total Marks: 80
Name: _______________________
Class: Primary 3 _____
Date: _______________
INSTRUCTIONS TO CANDIDATES
- Do not turn over this page until you are told to do so.
- Follow all instructions carefully.
- Answer all questions.
- Write your answers in this booklet.
- The number of marks is given in brackets [ ] at the end of each question or part question.
- The total marks for this paper is 80.
SECTION A: Multiple Choice Questions (20 marks)
Questions 1 to 10 carry 2 marks each. For each question, four options are given. Choose the correct answer and write its number (1, 2, 3 or 4) in the brackets provided.
1. In 8 472, the digit 8 is in the __________ place. [2] (1) ones (2) tens (3) hundreds (4) thousands
2. Which of the following numbers is the smallest? [2] (1) 6 341 (2) 6 143 (3) 6 413 (4) 6 314
3. 5 000 + 300 + 40 + 7 = __________ [2] (1) 5 347 (2) 5 374 (3) 5 437 (4) 5 734
4. Round 4 689 to the nearest hundred. [2] (1) 4 600 (2) 4 680 (3) 4 690 (4) 4 700
5. What is the missing number in the pattern below? [2] 3 450, 3 500, 3 550, __________, 3 650 (1) 3 560 (2) 3 580 (3) 3 600 (4) 3 620
6. 7 200 = __________ hundreds [2] (1) 7 (2) 72 (3) 720 (4) 7 200
7. Which of the following has the digit 5 in the thousands place and the digit 0 in the tens place? [2] (1) 5 035 (2) 5 305 (3) 5 350 (4) 5 530
8. The difference between 8 000 and 3 476 is __________ [2] (1) 4 524 (2) 4 534 (3) 5 524 (4) 5 534
9. There are 2 345 boys and 1 876 girls in a school. How many more boys than girls are there? [2] (1) 469 (2) 569 (3) 4 221 (4) 4 211
10. A number when rounded to the nearest ten is 6 350. Which of the following could be the number? [2] (1) 6 344 (2) 6 346 (3) 6 355 (4) 6 356
SECTION B: Short Answer Questions (30 marks)
Questions 11 to 25 carry 2 marks each. Write your answers in the spaces provided. Show your working clearly.
11. Write 6 804 in words. [2]
12. What is the value of the digit 9 in 3 927? [2]
13. Arrange the following numbers in descending order. [2] 4 321, 4 231, 4 132, 4 312
14. Complete the number pattern. [2] 7 200, 7 000, 6 800, __________, 6 400
15. Form the smallest 4-digit even number using all the digits below. [2] 5, 0, 8, 3
16. 5 600 + 2 400 = __________ thousands __________ hundreds [2]
17. Subtract 2 345 from 7 000. [2]
18. What number is 100 more than 4 899? [2]
19. Round 5 673 to the nearest thousand. [2]
20. Find the sum of 3 456 and 2 789. [2]
21. 8 000 − 4 321 = __________ [2]
22. A number is 3 500 when rounded to the nearest hundred. What is the greatest possible value of this number? [2]
23. In 6 045, the value of the digit 6 is __________ times the value of the digit 5. [2]
24. What is the missing number in the box? [2] 4 328 + __________ = 7 000
25. There are 4 567 books in a library. 1 234 books are Chinese books and the rest are English books. How many English books are there? [2]
SECTION C: Long Answer Questions (30 marks)
Questions 26 to 30 carry 3 to 5 marks each. Show your working clearly and write your answers in the spaces provided.
26. Study the number pattern below. [3] 6 000, 5 750, 5 500, 5 250, __________, __________
(a) Fill in the two missing numbers.
(b) What is the rule of the pattern?
27. Mr Tan had 5 000 stickers. He gave 1 235 stickers to his son and 2 148 stickers to his daughter. [4] (a) How many stickers did he give away altogether?
(b) How many stickers had he left?
28. The sum of two numbers is 8 000. The difference between the two numbers is 1 200. [4] Find the two numbers.
29. A factory produced 3 456 toys in January. In February, it produced 1 234 more toys than in January. In March, it produced 2 345 fewer toys than in February. [5] (a) How many toys did the factory produce in February?
(b) How many toys did the factory produce in March?
(c) How many toys did the factory produce in the three months altogether?
30. There are 4 800 people at a carnival. 2 345 are adults and the rest are children. [4] (a) How many children are there?
(b) If 1 234 children are girls, how many boys are there?
END OF PAPER
Answers
TuitionGoWhere Practice Paper - Mathematics Primary 3
Answer Key and Marking Scheme (SA2 Version 5)
Total Marks: 80
SECTION A: Multiple Choice Questions (20 marks)
1. (4) thousands
Marking: 2 marks for correct option.
Explanation: In 8 472, the digits from left to right are: 8 (thousands), 4 (hundreds), 7 (tens), 2 (ones). The digit 8 is in the thousands place.
2. (2) 6 143
Marking: 2 marks for correct option.
Explanation: Compare thousands digit (all 6), then hundreds digit: 1 < 3 < 4. So 6 143 is the smallest.
3. (1) 5 347
Marking: 2 marks for correct option.
Explanation: 5 000 + 300 + 40 + 7 = 5 347. Add by place value.
4. (4) 4 700
Marking: 2 marks for correct option.
Explanation: 4 689 → look at tens digit (8). Since 8 ≥ 5, round up the hundreds digit from 6 to 7. 4 689 ≈ 4 700.
5. (3) 3 600
Marking: 2 marks for correct option.
Explanation: Pattern increases by 50 each time: 3 450, 3 500, 3 550, 3 600, 3 650.
6. (2) 72
Marking: 2 marks for correct option.
Explanation: 7 200 = 72 × 100 = 72 hundreds.
7. (2) 5 305
Marking: 2 marks for correct option.
Explanation: Check each: (1) 5 035 (0 in hundreds), (2) 5 305 ✓ (5 in thousands, 0 in tens), (3) 5 350 (5 in tens), (4) 5 530 (5 in hundreds).
8. (1) 4 524
Marking: 2 marks for correct option.
Explanation: 8 000 − 3 476 = 4 524. Subtract with regrouping.
9. (1) 469
Marking: 2 marks for correct option.
Explanation: 2 345 − 1 876 = 469. "How many more" means subtraction.
10. (2) 6 346
Marking: 2 marks for correct option.
Explanation: Numbers rounding to 6 350 (nearest ten) are 6 345 to 6 354. Only 6 346 is in this range.
SECTION B: Short Answer Questions (30 marks)
11. Six thousand eight hundred and four
Marking: 2 marks (1 mark for "six thousand eight hundred", 1 mark for "and four"). Accept "Six thousand, eight hundred and four".
Explanation: Write each place value: 6 000 = six thousand, 800 = eight hundred, 4 = four. Use "and" before the last part.
12. 900
Marking: 2 marks.
Explanation: In 3 927, the digit 9 is in the hundreds place. Value = 9 × 100 = 900.
Common mistake: Writing "9" (the digit) instead of "900" (the value).
13. 4 321, 4 312, 4 231, 4 132
Marking: 2 marks for fully correct order. 1 mark if only one error.
Explanation: Descending = largest to smallest. Compare hundreds: all 4. Compare tens: 3 > 2 > 1. For 4 321 vs 4 312, compare ones: 2 > 1.
14. 6 600
Marking: 2 marks.
Explanation: Pattern decreases by 200 each time: 7 200, 7 000, 6 800, 6 600, 6 400.
15. 3 058
Marking: 2 marks.
Explanation: Smallest 4-digit even number: thousands digit must be smallest non-zero digit (3). Then arrange remaining digits ascending for smallest value: 0, 5, 8. But must be even → ones digit must be even (8 or 0). Try 0 in ones: 3 580. Try 8 in ones: 3 058. 3 058 < 3 580. So 3 058.
16. 8 thousands 0 hundreds (or 8 thousands)
Marking: 2 marks (1 mark each blank).
Explanation: 5 600 + 2 400 = 8 000 = 8 thousands 0 hundreds.
17. 4 655
Marking: 2 marks.
Explanation: 7 000 − 2 345 = 4 655. Regroup across zeros: 7 000 = 6 999 + 1, then subtract.
18. 4 999
Marking: 2 marks.
Explanation: 4 899 + 100 = 4 999. Add 1 to hundreds digit (8 → 9).
19. 6 000
Marking: 2 marks.
Explanation: 5 673 → look at hundreds digit (6). Since 6 ≥ 5, round up thousands digit from 5 to 6. 5 673 ≈ 6 000.
20. 6 245
Marking: 2 marks.
Explanation: 3 456 + 2 789 = 6 245. Add with regrouping: ones 6+9=15 (carry 1), tens 5+8+1=14 (carry 1), hundreds 4+7+1=12 (carry 1), thousands 3+2+1=6.
21. 3 679
Marking: 2 marks.
Explanation: 8 000 − 4 321 = 3 679. Regroup across zeros.
22. 3 549
Marking: 2 marks.
Explanation: Numbers rounding to 3 500 (nearest hundred) are 3 450 to 3 549. Greatest = 3 549.
23. 1 200
Marking: 2 marks.
Explanation: Value of 6 = 6 000. Value of 5 = 5. 6 000 ÷ 5 = 1 200.
Alternative: 6 is in thousands (×1000), 5 is in ones (×1). Ratio = 1000:1 but 6:5 = 1.2, so 1 200 times.
24. 2 672
Marking: 2 marks.
Explanation: 7 000 − 4 328 = 2 672. Or add up from 4 328 to 7 000.
25. 3 333
Marking: 2 marks.
Explanation: 4 567 − 1 234 = 3 333. "The rest" means subtraction.
SECTION C: Long Answer Questions (30 marks)
26. [3 marks]
(a) 5 000, 4 750
(b) Subtract 250 each time / Decrease by 250
Marking: (a) 2 marks (1 mark each correct number). (b) 1 mark for correct rule.
Explanation:
- Differences: 6 000 − 5 750 = 250, 5 750 − 5 500 = 250, 5 500 − 5 250 = 250.
- Rule: Subtract 250. Next: 5 250 − 250 = 5 000. Then: 5 000 − 250 = 4 750.
27. [4 marks]
(a) 3 383 stickers
(b) 1 617 stickers
Marking: (a) 2 marks (1 mark for correct addition, 1 mark for answer with unit). (b) 2 marks (1 mark for correct subtraction, 1 mark for answer with unit).
Working:
(a) 1 235 + 2 148 = 3 383
(b) 5 000 − 3 383 = 1 617
28. [4 marks]
The two numbers are 4 600 and 3 400.
Marking: 2 marks for correct method (sum + difference = 2 × larger number), 2 marks for both correct numbers.
Working:
Let larger number = L, smaller = S.
L + S = 8 000
L − S = 1 200
Add: 2L = 9 200 → L = 4 600
S = 8 000 − 4 600 = 3 400
Check: 4 600 − 3 400 = 1 200 ✓
29. [5 marks]
(a) 4 690 toys
(b) 2 345 toys
(c) 10 491 toys
Marking: (a) 1 mark, (b) 1 mark, (c) 2 marks (1 for method, 1 for answer). 1 mark for correct unit "toys" in each.
Working:
(a) January: 3 456. February: 3 456 + 1 234 = 4 690
(b) March: 4 690 − 2 345 = 2 345
(c) Total: 3 456 + 4 690 + 2 345 = 10 491
30. [4 marks]
(a) 2 455 children
(b) 1 221 boys
Marking: (a) 2 marks (1 for subtraction, 1 for answer). (b) 2 marks (1 for subtraction, 1 for answer).
Working:
(a) Children = 4 800 − 2 345 = 2 455
(b) Boys = 2 455 − 1 234 = 1 221
Total: 80 marks