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Primary 4 Mathematics Practice Paper 2
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TuitionGoWhere Practice Paper - Mathematics Primary 4
TuitionGoWhere Practice Paper (AI)
Subject: Mathematics Level: Primary 4 Paper: Practice Paper — Whole Numbers (Version 2 of 5) Duration: 45 minutes Total Marks: 40
Name: ________________________ Class: ________________________ Date: ________________________
Instructions
- Answer all questions.
- Show your working clearly in the space provided.
- Write your answers in the blanks where indicated.
- Do not use a calculator.
- The number of marks for each question is shown in brackets [ ].
Section A: Place Value and Number Sense (10 marks)
Questions 1–5. Each question carries 2 marks.
1. Write the following number in figures.
Seventy-three thousand, four hundred and six
Answer: ________________________
2. In the number 58,294, what does the digit 8 stand for?
Answer: ________________________
3. Arrange the following numbers in order, starting with the smallest.
42,107 | 41,999 | 42,017 | 41,709
Answer: ________, ________, ________, ________
4. Fill in the missing number in the pattern.
35,200, 35,300, 35,400, ________, 35,600
Answer: ________________________
5. What is the value of the digit in the hundreds place in the number 60,835?
Answer: ________________________
Section B: Rounding Numbers (10 marks)
Questions 6–10. Each question carries 2 marks.
6. Round 27,463 to the nearest hundred.
Answer: ________________________
7. Round 83,550 to the nearest thousand.
Answer: ________________________
Show your working:
8. A number rounded to the nearest ten is 45,020. What is the smallest possible value of the original number?
Answer: ________________________
9. Use the approximation symbol (≈) to show the rounded value.
61,748 rounded to the nearest thousand ≈ ________________________
10. The table below shows the number of visitors to four museums in Singapore.
| Museum | Number of Visitors |
|---|---|
| ArtScience Museum | 38,450 |
| National Gallery | 52,380 |
| Asian Civilisations Museum | 29,615 |
| Singapore Philatelic Museum | 14,720 |
Round each number to the nearest thousand and write the rounded values in the blanks.
(a) ArtScience Museum ≈ ________________________
(b) National Gallery ≈ ________________________
(c) Asian Civilisations Museum ≈ ________________________
(d) Singapore Philatelic Museum ≈ ________________________
Section C: Comparing, Ordering and Problem Solving (20 marks)
Questions 11–20. Marks as indicated.
11. Which is greater: 99,999 or 100,000? Write the correct symbol (>, <, or =) in the box.
99,999 ☐ 100,000
Answer: ________________________ [1 mark]
12. Write the number that is 10,000 more than 45,678.
Answer: ________________________ [1 mark]
13. Find the missing digit.
In the number 4□,382, the digit in the thousands place is 7.
What is the value of □?
Answer: ________________________ [1 mark]
14. The population of four HDB towns is shown below.
| Town | Population |
|---|---|
| Jurong West | 262,730 |
| Woodlands | 255,130 |
| Tampines | 258,310 |
| Sengkang | 249,550 |
(a) Which town has the greatest population? [1 mark]
Answer: ________________________
(b) Which town has the smallest population? [1 mark]
Answer: ________________________
(c) Round the population of Tampines to the nearest thousand. [1 mark]
Answer: ________________________
15. A school collected ₹31,250 (in charity tokens) for a fundraiser. Another school collected ₹28,760.
(a) Estimate the total amount collected by rounding each number to the nearest thousand first. [2 marks]
Working:
Answer (estimated total): ________________________
(b) Find the actual total amount collected. [1 mark]
Answer (actual total): ________________________
16. The number 5□,426 rounded to the nearest thousand is 56,000.
What are the possible values of the missing digit □? [2 marks]
Working:
Answer: □ = ________________________
17. A five-digit number has the following properties:
- The digit in the ten thousands place is 3.
- The digit in the thousands place is 0.
- The digit in the hundreds place is 7.
- The digit in the tens place is 5.
- The digit in the ones place is 9.
(a) Write this number in figures. [1 mark]
Answer: ________________________
(b) Write this number in words. [1 mark]
Answer: ________________________
18. The distance from Singapore to Kuala Lumpur is about 354 km. The distance from Singapore to Penang is about 680 km.
Round both distances to the nearest hundred and estimate how much farther Penang is from Singapore compared to Kuala Lumpur. [3 marks]
Working:
Answer: ________________________
19. A warehouse has 47,800 boxes. It receives 12,500 more boxes on Monday and ships out 9,350 boxes on Tuesday.
(a) How many boxes are in the warehouse after Monday? [1 mark]
Answer: ________________________
(b) How many boxes are in the warehouse after Tuesday? [1 mark]
Answer: ________________________
(c) Round your answer in (b) to the nearest thousand. [1 mark]
Answer: ________________________
20. Study the number pattern carefully.
10,000 | 20,000 | 30,000 | ________ | 50,000 | ________ | 70,000
(a) Write the two missing numbers. [2 marks]
Answer: ________________________ and ________________________
(b) What is the rule of this pattern? [1 mark]
Answer: ________________________
— End of Paper —
Answers
TuitionGoWhere Practice Paper — Answer Key
Mathematics Primary 4 | Whole Numbers | Version 2 of 5
Section A: Place Value and Number Sense (10 marks)
1. Write in figures: Seventy-three thousand, four hundred and six
Answer: 73,406 [2 marks]
Method: 7 ten-thousands = 70,000; 3 thousands = 3,000; 4 hundreds = 400; 0 tens; 6 ones → 73,406.
Common mistake: Writing 73,460 (confusing tens and ones) or 7,346 (missing a digit place).
2. In 58,294, what does the digit 8 stand for?
Answer: 8,000 (or eight thousand) [2 marks]
Method: The digit 8 is in the thousands place. 8 × 1,000 = 8,000.
Common mistake: Writing just "8" instead of its value "8,000". The question asks what the digit stands for, not the digit itself.
3. Arrange in order (smallest first): 42,107 | 41,999 | 42,017 | 41,709
Answer: 41,709, 41,999, 42,017, 42,107 [2 marks]
Method: Compare ten-thousands digit first (all are 4). Then compare thousands: 1 < 2, so 41,709 and 41,999 come first. Between those, 7 < 9 in the hundreds place, so 41,709 < 41,999. For the 42,xxx numbers: 0 < 1 in the hundreds place, so 42,017 < 42,107.
Marking: Award 2 marks for all correct. Award 1 mark if only one pair is swapped.
4. Fill in the missing number: 35,200, 35,300, 35,400, ________, 35,600
Answer: 35,500 [2 marks]
Method: The pattern increases by 100 each time. 35,400 + 100 = 35,500.
5. Value of the digit in the hundreds place in 60,835?
Answer: 800 [2 marks]
Method: In 60,835, the digits from left to right are: 6 (ten thousands), 0 (thousands), 8 (hundreds), 3 (tens), 5 (ones). The hundreds digit is 8, so its value is 8 × 100 = 800.
Section B: Rounding Numbers (10 marks)
6. Round 27,463 to the nearest hundred.
Answer: 27,500 [2 marks]
Method: Look at the tens digit (6). Since 6 ≥ 5, round up the hundreds digit: 4 becomes 5. Replace tens and ones with zeros → 27,500.
7. Round 83,550 to the nearest thousand.
Answer: 84,000 [2 marks]
Working: Look at the hundreds digit (5). Since 5 ≥ 5, round up the thousands digit: 3 becomes 4. Replace hundreds, tens, and ones with zeros → 84,000.
Common mistake: Writing 83,000 (forgetting to round up when the digit is exactly 5).
8. A number rounded to the nearest ten is 45,020. What is the smallest possible value?
Answer: 45,015 [2 marks]
Method: When rounding to the nearest ten, the smallest number that rounds up to 45,020 is the number where the ones digit is 5 (the threshold for rounding up). So the smallest possible value is 45,015.
Explanation: Any number from 45,015 to 45,024 rounds to 45,020. The smallest is 45,015.
9. 61,748 rounded to the nearest thousand ≈ ?
Answer: 61,748 ≈ 62,000 [2 marks]
Method: Look at the hundreds digit (7). Since 7 ≥ 5, round up the thousands digit: 1 becomes 2 → 62,000.
10. Round each to the nearest thousand.
(a) ArtScience Museum: 38,450 ≈ 38,000 [½ mark] Method: Hundreds digit is 4 (< 5), so round down.
(b) National Gallery: 52,380 ≈ 52,000 [½ mark] Method: Hundreds digit is 3 (< 5), so round down.
(c) Asian Civilisations Museum: 29,615 ≈ 30,000 [½ mark] Method: Hundreds digit is 6 (≥ 5), so round up.
(d) Singapore Philatelic Museum: 14,720 ≈ 15,000 [½ mark] Method: Hundreds digit is 7 (≥ 5), so round up.
Total: 2 marks. Award 1 mark if 2–3 are correct.
Section C: Comparing, Ordering and Problem Solving (20 marks)
11. 99,999 ☐ 100,000
Answer: 99,999 < 100,000 [1 mark]
Explanation: 99,999 is one less than 100,000.
12. 10,000 more than 45,678.
Answer: 55,678 [1 mark]
Method: 45,678 + 10,000 = 55,678. Adding 10,000 increases the ten-thousands digit by 1.
13. In 4□,382, the digit in the thousands place is 7. Find □.
Answer: □ = 7 [1 mark]
Method: In a five-digit number 4□,382, the places from left are: ten-thousands (4), thousands (□), hundreds (3), tens (8), ones (2). So □ = 7.
14. HDB town populations.
(a) Greatest population: Jurong West (262,730) [1 mark]
(b) Smallest population: Sengkang (249,550) [1 mark]
(c) Tampines rounded to nearest thousand: 258,310 → hundreds digit is 3 (< 5), so 258,000 [1 mark]
15. School fundraiser: ₹31,250 and ₹28,760.
(a) Estimated total (round to nearest thousand first):
31,250 → hundreds digit is 2 (< 5) → 31,000 28,760 → hundreds digit is 7 (≥ 5) → 29,000 Estimated total = 31,000 + 29,000 = ₹60,000 [2 marks]
Marking: Award 1 mark for correct rounding of both numbers, 1 mark for correct sum.
(b) Actual total: 31,250 + 28,760 = ₹60,010 [1 mark]
Working:
31,250
+ 28,760
--------
60,010
16. 5□,426 rounded to the nearest thousand is 56,000. Find possible values of □.
Answer: □ = 5, 6, 7, 8, or 9 [2 marks]
Working: The number is 5□,426. The thousands digit is □. The hundreds digit is 4.
- If □ = 5: 55,426 → hundreds digit is 4 (< 5), rounds to 55,000 ✗
- Wait — we need the result to be 56,000.
For the number to round to 56,000:
- The number must be between 55,500 and 56,499 (inclusive of 55,500, exclusive of 56,500).
- Since the number is 5□,426, the hundreds digit is fixed at 4, so the number is always 5□,426 where the last three digits are 426.
- For rounding to the nearest thousand: look at the hundreds digit (4). Since 4 < 5, we round down.
- So 5□,426 rounds to 5□,000. For this to equal 56,000, we need □ = 6.
Corrected Answer: □ = 6 [2 marks]
Working: The number is 5□,426. The hundreds digit is 4, which is less than 5, so we round down. This means 5□,426 → 5□,000. For this to equal 56,000, □ must be 6.
Common mistake: Students may think multiple values work, but since the hundreds digit is fixed at 4 (< 5), only □ = 6 gives 56,000.
Marking: Award 2 marks for correct answer with valid reasoning. Award 1 mark for correct answer without working.
17. Five-digit number with given digits.
(a) In figures: [1 mark]
Ten-thousands: 3, Thousands: 0, Hundreds: 7, Tens: 5, Ones: 9
Answer: 30,759
(b) In words: [1 mark]
Answer: Thirty thousand, seven hundred and fifty-nine
Common mistake: Writing "thirty thousand seven hundred fifty-nine" without "and" — accept both, but "and" before the tens/ones is standard in Singapore syllabus.
18. Singapore to Kuala Lumpur ≈ 354 km; Singapore to Penang ≈ 680 km.
Round to nearest hundred and estimate how much farther Penang is.
Working:
354 → tens digit is 5 (≥ 5), round up → 400 km 680 → tens digit is 8 (≥ 5), round up → 700 km
Estimated difference: 700 − 400 = 300 km [3 marks]
Marking: 1 mark for rounding 354 correctly, 1 mark for rounding 680 correctly, 1 mark for correct difference.
19. Warehouse boxes: 47,800 + 12,500 − 9,350.
(a) After Monday: 47,800 + 12,500 = 60,300 boxes [1 mark]
(b) After Tuesday: 60,300 − 9,350 = 50,950 boxes [1 mark]
Working:
60,300
- 9,350
--------
50,950
(c) 50,950 rounded to nearest thousand: hundreds digit is 9 (≥ 5), round up → 51,000 [1 mark]
20. Number pattern: 10,000 | 20,000 | 30,000 | ________ | 50,000 | ________ | 70,000
(a) Missing numbers: 40,000 and 60,000 [2 marks — 1 mark each]
(b) Rule: Add 10,000 each time (or "increase by 10,000") [1 mark]
Mark Summary
| Section | Marks |
|---|---|
| A: Place Value and Number Sense (Q1–5) | 10 |
| B: Rounding Numbers (Q6–10) | 10 |
| C: Comparing, Ordering and Problem Solving (Q11–20) | 20 |
| Total | 40 |
This practice paper was generated by TuitionGoWhere (AI) based on the 2021 MOE Primary Mathematics Syllabus. It is not derived from any actual past-year examination paper.