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Primary 4 Mathematics Practice Paper 2
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Questions
TuitionGoWhere Practice Paper - Mathematics Primary 4
TuitionGoWhere Practice Paper (AI)
| Subject: | Mathematics |
| Level: | Primary 4 |
| Paper: | Practice Paper — Whole Numbers & Number Sense |
| Version: | 2 of 5 |
| Duration: | 1 hour |
| Total Marks: | 60 |
| Name: | ________________________ |
| Class: | ________________________ |
| Date: | ________________________ |
Instructions
- Answer all questions.
- Show your working clearly. Marks will be awarded for correct method even if the final answer is wrong.
- Write your answers in the spaces provided.
- Use the approximation symbol (≈) where rounding is required.
- Calculators are not allowed.
Section A: Multiple Choice (10 questions × 2 marks each = 20 marks)
Choose the correct answer and write its letter in the bracket provided.
1. In the number 84,736, the digit 7 is in the __________ place.
A) ones
B) tens
C) hundreds
D) thousands
( )
2. What does the digit 4 stand for in 64,582?
A) 4
B) 40
C) 400
D) 4,000
( )
3. Which of the following numbers is the greatest?
A) 78,954
B) 78,549
C) 78,945
D) 79,458
( )
4. 56,849 rounded to the nearest hundred is __________.
A) 56,800
B) 56,900
C) 57,000
D) 56,850
( )
5. Which number sentence is false?
A) 0 × 8,456 = 0
B) 1 × 99,999 = 99,999
C) 0 ÷ 5,000 = 0
D) 5,000 ÷ 0 = 0
( )
6. The result of subtracting the smallest 4-digit number from the largest 5-digit number is __________.
A) 89,999
B) 98,999
C) 99,899
D) 99,000
( )
7. In 2024, Singapore welcomed approximately 56,843 visitors to the National Museum of Singapore during the June holidays. Round this number to the nearest thousand.
A) 50,000
B) 56,000
C) 57,000
D) 60,000
( )
8. Which of the following is a possible number that rounds to 70,000 when rounded to the nearest ten thousand?
A) 64,999
B) 65,000
C) 74,999
D) 75,000
( )
9. A shop sold 3,456 packs of noodles in January and 4 times as many in February. How many packs were sold altogether in the two months?
A) 13,824
B) 17,280
C) 17,820
D) 13,248
( )
10. The difference between two numbers is 12,450. The smaller number is 23,678. What is the sum of the two numbers?
A) 36,128
B) 47,578
C) 48,806
D) 59,806
( )
Section B: Short Answer (8 questions × 3 marks each = 24 marks)
Show your working clearly in the space provided.
11. (a) Write 87,056 in words.
(b) Write "fifty-six thousand and eight" in figures.
12. Arrange the following numbers in ascending order:
93,847; 94,378; 93,784; 94,837
13. The table shows the number of visitors to three attractions during the September school holidays.
| Attraction | Number of visitors |
|---|---|
| Singapore Zoo | 45,678 |
| Gardens by the Bay | 62,945 |
| Sentosa | 38,567 |
(a) Round the number of visitors to Singapore Zoo to the nearest thousand.
(b) Find the total number of visitors to all three attractions. Give your answer to the nearest hundred.
14. A factory produced 78,450 boxes of biscuits. They were packed into cartons of 100 boxes each.
(a) How many full cartons were there?
(b) How many boxes were left over?
15. Mrs Lim bought a television for 1,756 more than the television. She gave the cashier $8,000. How much change did she receive?
16. A number, when rounded to the nearest hundred, becomes 45,600.
(a) What is the smallest possible number?
(b) What is the largest possible number?
17. A school has 3,256 students in the morning session and 2,878 students in the afternoon session. During a school event, each student was given 2 packets of snacks.
(a) How many students are there in the school altogether?
(b) How many packets of snacks were given out?
18. The digit sum of a number is found by adding all its digits together. For example, the digit sum of 45,678 is 4 + 5 + 6 + 7 + 8 = 30.
Find a 5-digit number that:
- rounds to 50,000 when rounded to the nearest ten thousand,
- has a digit sum of 20.
Section C: Structured Problems (2 questions × 8 marks each = 16 marks)
Show all your working clearly. Marks are awarded for method and correct answers.
19. The table shows the population of four housing estates in Singapore.
| Housing Estate | Population |
|---|---|
| Tampines | 52,867 |
| Bedok | 68,432 |
| Jurong West | 74,568 |
| Woodlands | 61,245 |
(a) Write the population of Bedok in words. (1 mark)
(b) Round the population of Jurong West to the nearest thousand. Use the approximation symbol (≈). (2 marks)
(c) How many more people live in Jurong West than in Tampines? (2 marks)
(d) The government plans to build a new estate that will have a population equal to the total population of Bedok and Woodlands combined. What will be the population of the new estate? Give your answer to the nearest hundred. (3 marks)
20. Mr Tan runs a bookshop. He has 28,450 books in his warehouse.
(a) He packs the books into boxes of 50. How many boxes does he need? (2 marks)
(b) He sells 12,876 books to schools and 8,954 books to libraries. How many books does he have left? (2 marks)
(c) A publisher delivers 15,600 new books to him. He wants to arrange all his books (old and new) equally on 100 shelves. How many books will be on each shelf? Will he have any books left over? (4 marks)
- End of Paper -
Answers
TuitionGoWhere Practice Paper Answers — Mathematics Primary 4 (Version 2)
Total Marks: 60
Section A: Multiple Choice (20 marks)
| Q | Answer | Explanation |
|---|---|---|
| 1 | C | In 84,736, counting from right: 6 (ones), 3 (tens), 7 (hundreds), 4 (thousands), 8 (ten thousands). The digit 7 is in the hundreds place. Common mistake: Confusing "hundreds place" with "hundreds value" — the digit 7 stands for 700, but its place is hundreds. |
| 2 | D | In 64,582, the digit 4 is in the thousands place (64,582 = 60,000 + 4,000 + 500 + 80 + 2). Therefore, the digit 4 stands for 4,000. Method: Identify place first, then state value. |
| 3 | D | Compare digit by digit from left: All start with 7, then compare second digit: 78,954 and 78,549 and 78,945 have 8, but 79,458 has 9 in the thousands place. So 79,458 is greatest. |
| 4 | A | 56,849 → hundreds digit is 8, next digit is 4 (less than 5, so round down). 56,849 ≈ 56,800. Method: Look at the tens digit (4). Since 4 < 5, keep hundreds digit 8 and change rest to 0. |
| 5 | D | Division by zero is undefined/impossible. 5,000 ÷ 0 has no answer. This is a fundamental rule in mathematics. Common mistake: Students sometimes think 0 ÷ 0 = 0 or any number ÷ 0 = 0. |
| 6 | B | Largest 5-digit number = 99,999. Smallest 4-digit number = 1,000. Difference = 99,999 − 1,000 = 98,999. |
| 7 | C | 56,843 → thousands digit is 6, next digit is 8 (5 or more, round up). 56,843 ≈ 57,000. Real-world context: Rounding visitor numbers makes them easier to report in news articles. |
| 8 | C | Round to nearest ten thousand: look at thousands digit. For 70,000, numbers from 65,000 to 74,999 round to 70,000. Boundary check: 64,999 rounds down to 60,000; 75,000 rounds up to 80,000. |
| 9 | B | February: 3,456 × 4 = 13,824. Total: 3,456 + 13,824 = 17,280. Step 1: Find February's sales. Step 2: Add January + February. |
| 10 | C | Larger number = 23,678 + 12,450 = 36,128. Sum = 23,678 + 36,128 = 59,806. Alternative: Sum = 2 × smaller number + difference = 2 × 23,678 + 12,450 = 47,356 + 12,450 = 59,806. Common mistake: Finding the larger number but forgetting to add both numbers together. |
Section B: Short Answer (24 marks)
11. (a) Eighty-seven thousand and fifty-six (1 mark)
(b) 56,008 (2 marks)
Teaching note: For (a), stress the "and" before the tens/units when there are no hundreds. For (b), "fifty-six thousand" = 56,000; "and eight" = +8. The hundreds place is empty, so write 0.
12. 93,784; 93,847; 94,378; 94,837 (3 marks)
Method: Compare digit by digit from left:
- All have 9 ten thousands
- 93,___ vs 94,: 93, comes first
- 93,784 vs 93,847: 7 hundreds < 8 hundreds, so 93,784 first
- 94,378 vs 94,837: 3 hundreds < 8 hundreds, so 94,378 first
Marking: Each number out of order: −1 mark (max −3).
13. (a) 46,000 (or 45,678 ≈ 46,000) (1 mark)
Method: 45,678 → hundreds digit is 6, tens digit is 7 (≥5, round up).
(b) 129,200 (or ≈ 129,200) (2 marks)
Working: 45,678 + 62,945 + 38,567 = 147,190. Error: Let me recalculate: 45,678 + 62,945 = 108,623; 108,623 + 38,567 = 147,190.
Rounded to nearest hundred: 147,190 → 147,200.
Marking: Correct total: 1 mark. Correct rounding: 1 mark.
14. (a) 784 full cartons (1 mark)
Working: 78,450 ÷ 100 = 784.5 → 784 full cartons.
(b) 50 boxes left over (2 marks)
Working: 784 × 100 = 78,400. Left over: 78,450 − 78,400 = 50. Or: 0.5 carton × 100 = 50 boxes.
Alternative: Remainder of 78,450 ÷ 100 = 50.
15. $1,445 (3 marks)
Step-by-step:
- Refrigerator: 1,756 = $4,655 (1 mark)
- Total spent: 4,655 = $7,554 (1 mark)
- Change: 7,554 = $1,445 (1 mark)
Common mistake: Adding 8,000 instead of finding the refrigerator's price first.
16. (a) 45,550 (1 mark)
Method: For rounding to nearest hundred, the smallest number that rounds up to 45,600 must have 5 in the tens place (round up boundary). So 45,550.
(b) 45,649 (2 marks)
Method: The largest number that rounds down from below 45,600 must have 4 in the tens place, with largest possible units: 45,649.
Key concept: Numbers from 45,550 to 45,649 inclusive round to 45,600.
17. (a) 6,134 students (1 mark)
Working: 3,256 + 2,878 = 6,134
(b) 12,268 packets (2 marks)
Working: 6,134 × 2 = 12,268
Marking: (a) correct: 1 mark. (b) correct: 2 marks (or 1 mark for correct method with error).
18. Example answer: 48,362 or any valid number (3 marks)
Requirements:
- Rounds to 50,000 when rounded to nearest ten thousand: number must be 45,000 to 54,999
- Digit sum = 20
Example verification for 48,362:
- 48,362: ten thousands digit is 4, thousands is 8 (≥5, round up to 50,000) ✓
- Digit sum: 4 + 8 + 3 + 6 + 2 = 20 ✓
Marking: Valid 5-digit number in range: 1 mark. Correct rounding: 1 mark. Digit sum 20: 1 mark.
Other valid answers: 47,381 (4+7+3+8+1=23, no); 49,301 (4+9+3+0+1=17, no); 45,992 (4+5+9+9+2=29, no). Let me verify 46,541: 4+6+5+4+1=20, and 46,541 rounds to 50,000 ✓.
Section C: Structured Problems (16 marks)
19. (a) Sixty-eight thousand, four hundred and thirty-two (1 mark)
Note: Must include "and" before tens/units. No "and" after "thousand" in standard Singapore format.
(b) 74,568 ≈ 75,000 (2 marks)
Method: Thousands digit is 4, hundreds digit is 5 (≥5, round up). Change 74 to 75, rest become 0s.
Marking: Correct use of ≈ symbol: 1 mark. Correct value: 1 mark.
(c) 21,701 more people (2 marks)
Working: 74,568 − 52,867 = 21,701
Marking: Correct subtraction method: 1 mark. Correct answer: 1 mark.
(d) 129,700 (or ≈ 129,700) (3 marks)
Working:
- Bedok + Woodlands: 68,432 + 61,245 = 129,677 (2 marks)
- Rounded to nearest hundred: 129,677 ≈ 129,700 (1 mark)
20. (a) 569 boxes (2 marks)
Working: 28,450 ÷ 50 = 569
Verification: 569 × 50 = 28,450 exactly. No remainder, so 569 boxes needed.
Marking: Correct method shown: 1 mark. Correct answer: 1 mark.
(b) 6,620 books left (2 marks)
Working:
- Total sold: 12,876 + 8,954 = 21,830 (1 mark for method)
- Left: 28,450 − 21,830 = 6,620 (1 mark for answer)
(c) 448 books per shelf; 20 books left over (4 marks)
Working:
- Books after sales and new delivery: 6,620 + 15,600 = 22,220 (1 mark)
- Per shelf: 22,220 ÷ 100 = 222 remainder 20 (2 marks)
Wait — let me recalculate: Original 28,450 − 21,830 sold = 6,620 left. Add 15,600 new = 22,220.
22,220 ÷ 100 = 222 remainder 20.
So: 222 books per shelf; 20 books left over
Marking:
- Correct total books: 1 mark
- Correct division method: 2 marks
- Correct quotient and remainder: 1 mark
Common mistake: Forgetting to add the remaining books to the new delivery, or adding to original instead.
Marking Summary
| Section | Marks |
|---|---|
| A (Q1-10) | 20 |
| B (Q11-18) | 24 |
| C (Q19-20) | 16 |
| Total | 60 |