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Primary 3 Mathematics Practice Paper 2
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Questions
TuitionGoWhere Practice Paper - Mathematics Primary 3
TuitionGoWhere Practice Paper (AI)
Subject: Mathematics
Level: Primary 3
Paper: Practice Paper (Whole Numbers Focus)
Version: 2 of 5
Duration: 40 minutes
Total Marks: 50
Name: _________________________
Class: _________________________
Date: _________________________
Instructions
- Write your name, class, and date in the spaces above.
- This paper has three sections: A, B, and C.
- Answer all questions.
- Write your answers clearly in the spaces provided.
- Show all your working. Marks may be awarded for correct methods even if the final answer is wrong.
- Use a pencil for diagrams and a blue or black pen for writing.
- Calculators are not allowed.
Section A: Multiple Choice Questions (10 marks)
Choose the correct answer and write its number (1, 2, 3, or 4) in the box provided. Each question carries 1 mark.
1. In the number 7,439, which digit is in the hundreds place?
- 7
- 4
- 3
- 9
Answer: [ ]
2. What is the value of the digit 6 in 6,582?
- 6
- 60
- 600
- 6,000
Answer: [ ]
3. Which of the following numbers is the largest?
- 4,099
- 4,909
- 4,990
- 4,199
Answer: [ ]
4. Arrange the numbers 3,456, 3,654, 3,564, and 3,465 in ascending order.
- 3,456, 3,465, 3,564, 3,654
- 3,456, 3,564, 3,465, 3,654
- 3,654, 3,564, 3,465, 3,456
- 3,465, 3,456, 3,564, 3,654
Answer: [ ]
5. 5 thousands, 7 hundreds, 2 tens, and 8 ones is the same as:
- 5,728
- 7,528
- 5,278
- 5,782
Answer: [ ]
6. Which number is 100 more than 8,965?
- 8,955
- 8,975
- 9,065
- 9,965
Answer: [ ]
7. In a 4-digit number, the digit in the thousands place is 3 more than the digit in the ones place. Which of the following could be the number?
- 5,284
- 6,492
- 7,251
- 8,165
Answer: [ ]
8. What is the smallest 4-digit number that can be formed using the digits 4, 0, 7, and 2?
- 2,047
- 2,407
- 4,027
- 0,247
Answer: [ ]
9. A number rounds to 6,000 when rounded to the nearest thousand. Which number could it be?
- 5,398
- 5,501
- 6,582
- 6,987
Answer: [ ]
10. The difference between two numbers is 2,500. The larger number is 8,200. What is the smaller number?
- 5,700
- 6,700
- 10,700
- 4,700
Answer: [ ]
Section B: Short Answer Questions (25 marks)
Write your answers in the spaces provided. Questions 11-15 carry 2 marks each. Questions 16-18 carry 3 marks each. Questions 19-20 carry 4 marks each.
11. Write 5,060 in words.
12. What is 1,000 less than 9,400?
13. Arrange these numbers from largest to smallest: 4,721, 4,271, 4,712, 4,172
14. In the number 9,438, the digit ________ is in the tens place and its value is ________.
15. Find the sum of the largest 3-digit number and the smallest 4-digit number.
16. (a) Write a 4-digit number where the digit in the thousands place is twice the digit in the hundreds place. [1 mark]
(b) Explain why your answer satisfies the condition. [2 marks]
17. A school has 2,475 students. Another school has 1,308 more students than the first school.
(a) How many students are in the second school? [2 marks]
(b) What is the total number of students in both schools? [1 mark]
18. Mrs. Lim has 5,000 stickers. She gives 1,250 stickers to Class 3A and 1,875 stickers to Class 3B. She wants to give the remaining stickers equally to 5 other classes.
(a) How many stickers does Mrs. Lim have left? [2 marks]
(b) How many stickers will each of the 5 classes receive? [1 mark]
19. Study the number pattern below. Fill in the missing numbers.
2,450, 2,500, 2,550, ________, 2,650, ________, 2,750
(a) Write the two missing numbers. [2 marks]
(b) Explain the rule for this pattern. [2 marks]
20. Jason, Mei Ling, and Ravi collect stamps. Jason has 1,245 stamps. Mei Ling has 368 stamps more than Jason. Ravi has 512 stamps fewer than Mei Ling.
(a) How many stamps does Mei Ling have? [1 mark]
(b) How many stamps does Ravi have? [2 marks]
(c) What is the total number of stamps the three children have altogether? [1 mark]
Section C: Word Problems (15 marks)
Show all your working clearly. Write your answers in the spaces provided.
21. A bakery made 3,240 cupcakes on Monday. On Tuesday, it made 486 more cupcakes than on Monday.
(a) How many cupcakes did the bakery make on Tuesday? [2 marks]
Working:
Answer: _________________________
(b) How many cupcakes did the bakery make on both days altogether? [2 marks]
Working:
Answer: _________________________
22. HDB Block 742 has 1,248 residents. HDB Block 856 has 967 residents. A new block, Block 901, is being built to house exactly 2,500 residents in total across all three blocks.
(a) How many residents are currently in Blocks 742 and 856? [1 mark]
Working:
Answer: _________________________
(b) How many more residents must Block 901 house to reach the target of 2,500 residents in total? [3 marks]
Working:
Answer: _________________________
23. <image_placeholder> id: Q23-fig1 type: table linked_question: Q23 description: A table showing the number of books borrowed from a school library over four months labels: Month, Number of Books values: January: 1,245 books; February: 1,508 books; March: 1,376 books; April: 1,891 books must_show: Four rows with month names in first column and book counts in second column; clear column headers; numbers aligned for easy comparison </image_placeholder>
The table shows the number of books borrowed from Sunshine Primary School library.
(a) In which month were the most books borrowed? [1 mark]
Answer: _________________________
(b) How many more books were borrowed in April than in January? [2 marks]
Working:
Answer: _________________________
(c) The librarian wants to order new books. She orders 2,500 new books if the total borrowed across all four months is more than 5,000. Should she order 2,500 new books? Show your working to explain. [3 marks]
Working:
Answer: _________________________
24. A 4-digit lock code has these clues:
- The thousands digit is the smallest even number greater than 0
- The hundreds digit is 5 more than the thousands digit
- The tens digit is the largest single-digit even number
- The ones digit is 3 less than the tens digit
(a) What is the lock code? [3 marks]
Working:
Answer: _________________________
(b) Explain how you found each digit using the clues. [2 marks]
25. In a charity walkathon, Primary 3 students walked from East Coast Park to a finish point. The total distance was 4,500 metres.
- Alicia walked 1,875 metres before resting.
- Ben walked 2,340 metres before resting.
- Clara walked 1,560 metres before resting.
(a) How much further did Ben walk than Alicia before resting? [2 marks]
Working:
Answer: _________________________
(b) All three students continued walking after their rest. Alicia walked the remaining distance to finish. How far did Alicia walk after her rest? [3 marks]
Working:
Answer: _________________________
END OF PAPER
Have you checked your answers? Remember to review your working before handing in your paper.
Answers
TuitionGoWhere Practice Paper - Mathematics Primary 3
Answer Key with Marking Scheme
Version: 2 of 5
Total Marks: 50
Duration: 40 minutes
Section A: Multiple Choice Questions (10 marks)
1 mark each
| Question | Answer | Explanation |
|---|---|---|
| 1 | 2 | In 7,439: 7 is thousands, 4 is hundreds, 3 is tens, 9 is ones. |
| 2 | 4 | The digit 6 is in the thousands place, so its value is 6,000 (6 × 1,000). |
| 3 | 3 | Compare from left: 4,990 > 4,909 > 4,199 > 4,099. Check thousands (all 4), then hundreds (9 > 0, 1, 0). |
| 4 | 1 | All start with 3, so compare hundreds: 4 < 5 < 6. Order: 3,456, 3,465, 3,564, 3,654. |
| 5 | 1 | 5,000 + 700 + 20 + 8 = 5,728. |
| 6 | 3 | 8,965 + 100 = 9,065 (add 1 to the hundreds place: 9 becomes 10, so hundreds reset to 0, thousands increase by 1). |
| 7 | 2 | Check: 6,492 → thousands digit 6, ones digit 2, and 6 = 2 + 4... No, recheck: 6,492: 6 − 2 = 4, not 3. 7,251: 7 − 1 = 6, not 3. 8,165: 8 − 5 = 3 ✓. Wait, let me recheck 6,492: 6 − 2 = 4. The answer is 3 (7,251: 7−1=6), no wait—the correct answer is 2 (6,492 where 6−2=4... actually none seem right except 8,165: 8−5=3). Let me recheck options: 5,284: 5−4=1; 6,492: 6−2=4; 7,251: 7−1=6; 8,165: 8−5=3. The answer is 4 (8,165). Correction to original: The answer is 4. |
| 8 | 1 | For smallest number, put smallest non-zero digit (2) first, then arrange ascending: 2,047. |
| 9 | 2 | A number rounding to 6,000 must be from 5,500 to 6,499. 5,501 is in this range. |
| 10 | 1 | 8,200 − 2,500 = 5,700. |
Section B: Short Answer Questions (25 marks)
11. [2 marks]
Answer: Five thousand and sixty (or: Five thousand sixty)
Marking: Both words and correct "and" placement (or accepted local variant) – 2 marks. Minor spelling error with correct understanding – 1 mark.
12. [2 marks]
Answer: 8,400
Working: 9,400 − 1,000 = 8,400
Concept: "1,000 less" means subtract 1,000 from the thousands place. 9 − 1 = 8 in the thousands place.
13. [2 marks]
Answer: 4,721, 4,712, 4,271, 4,172
Method: Compare from left. All have 4 thousands. Compare hundreds: 7 > 2 > 1. But wait: 4,721 and 4,712 both have 7 hundreds, so compare tens: 2 > 1. Then 4,271 and 4,172: 2 > 1 in hundreds place.
Common error: Mixing up 4,721 and 4,712 (need to check tens digit).
14. [2 marks]
Answer: In the number 9,438, the digit 3 is in the tens place and its value is 30.
Marking: Correct digit (3) – 1 mark; correct value (30) – 1 mark. If student writes "3" for value, award 1 mark only (confuses digit with value).
15. [2 marks]
Answer: 1,999
Working: Largest 3-digit number = 999; Smallest 4-digit number = 1,000; Sum = 999 + 1,000 = 1,999
Concept: Understanding the boundary between 3-digit and 4-digit numbers. 999 is the "threshold" number—add 1 to get 1,000.
16. [3 marks]
(a) [1 mark] Any valid answer where thousands digit = 2 × hundreds digit.
Examples: 4,200 (4 = 2×2); 6,300 (6 = 2×3); 8,401 (8 = 2×4); 2,100 (2 = 2×1)
(b) [2 marks]
Expected explanation: "The digit in the thousands place is [X]. The digit in the hundreds place is [Y]. Since [X] = 2 × [Y], the condition is satisfied."
Example for 4,200: "The thousands digit is 4. The hundreds digit is 2. Since 4 = 2 × 2, my number satisfies the condition that the thousands digit is twice the hundreds digit."
Marking: Correct identification of digits – 1 mark; Correct verification with multiplication/relationship – 1 mark.
17. [3 marks]
(a) [2 marks]
Working: 2,475 + 1,308 = 3,783
Answer: 3,783 students
Method: "More than" means addition. Add ones: 5+8=13 (write 3, carry 1). Tens: 7+0+1=8. Hundreds: 4+3=7. Thousands: 2+1=3.
(b) [1 mark]
Working: 2,475 + 3,783 = 6,258
Answer: 6,258 students
18. [3 marks]
(a) [2 marks]
Working:
- Stickers given away: 1,250 + 1,875 = 3,125
- Stickers remaining: 5,000 − 3,125 = 1,875
Or direct: 5,000 − 1,250 − 1,875 = 1,875
Answer: 1,875 stickers
Common error: Forgetting to subtract both amounts or subtraction errors in regrouping.
(b) [1 mark]
Working: 1,875 ÷ 5 = 375
Answer: 375 stickers
Method: "Equal" sharing means division. 1,875 ÷ 5: 5 into 18 goes 3 (15), remainder 3; 5 into 37 goes 7 (35), remainder 2; 5 into 25 goes 5.
19. [4 marks]
(a) [2 marks] Missing numbers: 2,600 and 2,700
(b) [2 marks]
Rule: Add 50 to each number to get the next number (or: The pattern increases by 50 each time).
Verification: 2,450 + 50 = 2,500 ✓; 2,500 + 50 = 2,550 ✓; 2,550 + 50 = 2,600; 2,600 + 50 = 2,650 ✓; 2,650 + 50 = 2,700; 2,700 + 50 = 2,750 ✓
Marking: Both numbers correct – 2 marks (1 mark if one number correct with adjacent correct). Rule stated clearly with correct operation and amount – 2 marks.
20. [4 marks]
(a) [1 mark]
Working: 1,245 + 368 = 1,613
Answer: 1,613 stamps
(b) [2 marks]
Working: 1,613 − 512 = 1,101
Answer: 1,101 stamps
Note: "Fewer than" means subtraction. Students must use Mei Ling's amount, not Jason's.
(c) [1 mark]
Working: 1,245 + 1,613 + 1,101 = 3,959
Answer: 3,959 stamps
Section C: Word Problems (15 marks)
21. [4 marks]
(a) [2 marks]
Working: 3,240 + 486 = 3,726
Answer: 3,726 cupcakes
Method: "486 more than Monday" → addition to Monday's amount.
Marking: Correct method (addition) – 1 mark; Correct answer – 1 mark.
(b) [2 marks]
Working: 3,240 + 3,726 = 5,966 or 3,726 + 3,240 = 5,966
Answer: 5,966 cupcakes
Method: "Both days altogether" → add Monday and Tuesday amounts.
Marking: Correct addition – 1 mark; Correct final answer – 1 mark. Follow-through marks available if (a) is wrong but method in (b) is correct with their value.
22. [4 marks]
(a) [1 mark]
Working: 1,248 + 967 = 2,215
Answer: 2,215 residents
(b) [3 marks]
Working:
- Method 1: 2,500 − 2,215 = 285
- Method 2: 2,500 − 1,248 − 967 = 1,252 − 967 = 285
Answer: 285 residents
Marking: Understanding "to reach target" requires finding difference or working backwards – 1 mark; Correct subtraction set-up – 1 mark; Correct answer – 1 mark.
Teaching note: "How many more to reach" is a "find the gap" or "complement" problem. Students can think: Current + ? = Target, so ? = Target − Current.
23. [6 marks]
Visual verification: The table should show: January 1,245; February 1,508; March 1,376; April 1,891.
(a) [1 mark]
Answer: April (1,891 books)
(b) [2 marks]
Working: 1,891 − 1,245 = 646
Answer: 646 more books
Marking: Correct numbers identified from table – 1 mark; Correct subtraction – 1 mark.
(c) [3 marks]
Working:
- Total = 1,245 + 1,508 + 1,376 + 1,891
- Step by step: 1,245 + 1,508 = 2,753
- 2,753 + 1,376 = 4,129
- 4,129 + 1,891 = 6,020
Comparison: 6,020 > 5,000
Answer: Yes, she should order 2,500 new books because the total (6,020) is more than 5,000.
Marking: Correct method for total (addition of all four months) – 1 mark; Correct total – 1 mark; Correct comparison and conclusion with "Yes" – 1 mark. If total is wrong but comparison logic is correct with their total, award 1 mark.
24. [5 marks]
(a) [3 marks]
Working step-by-step:
| Clue | Digit | Reasoning |
|---|---|---|
| Thousands: smallest even number > 0 | 2 | Smallest even numbers: 0, 2, 4... ; 0 is not greater than 0, so next is 2 |
| Hundreds: 5 more than thousands | 7 | 2 + 5 = 7 |
| Tens: largest single-digit even number | 8 | Single-digit evens: 0,2,4,6,8; largest is 8 |
| Ones: 3 less than tens | 5 | 8 − 3 = 5 |
Answer: 2,785
Marking: Correct thousands digit – 1 mark; Correct hundreds and tens – 1 mark; Correct ones and final answer – 1 mark.
(b) [2 marks]
Expected explanation structure:
- Thousands: "The smallest even number greater than 0 is 2, not 0, because 0 is not greater than 0."
- Hundreds: "I added 5 to the thousands digit: 2 + 5 = 7."
- Tens: "The largest single-digit even number is 8 (not 9, because 9 is odd)."
- Ones: "I subtracted 3 from the tens digit: 8 − 3 = 5."
Marking: Clear reasoning for at least two digits with correct mathematical justification – 2 marks. Partial explanation with minor gaps – 1 mark.
25. [5 marks]
(a) [2 marks]
Working: 2,340 − 1,875 = 465
Answer: 465 metres further
Method: "Further... than" → find the difference (subtraction, larger minus smaller).
Marking: Correct subtraction set-up – 1 mark; Correct answer with unit – 1 mark.
(b) [3 marks]
Working:
- Alicia walked 1,875 m already
- Total distance: 4,500 m
- Remaining: 4,500 − 1,875 = 2,625
Answer: 2,625 metres
Method 1 (Direct): Total − Amount walked = Remaining Method 2 (Complementary): 4,500 − 1,875: Think 1,875 + ? = 4,500; or use standard subtraction with regrouping.
Marking: Correct identification of relevant numbers (4,500 and 1,875) – 1 mark; Correct subtraction method – 1 mark; Correct answer with unit – 1 mark.
Common error: Using Ben's distance (2,340) instead of Alicia's. Must read "Alicia walked the remaining distance."
Summary of Marks by Section
| Section | Questions | Marks |
|---|---|---|
| A | 1-10 | 10 |
| B | 11-20 | 25 |
| C | 21-25 | 15 |
| Total | 50 |
End of Answer Key