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Primary 4 Mathematics Practice Paper 1

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TuitionGoWhere Practice Paper - Mathematics Primary 4

TuitionGoWhere Practice Paper (AI)

Subject: Mathematics Level: Primary 4 Paper: Practice Paper 1 (Version 1 of 5) Duration: 1 hour 30 minutes Total Marks: 40

Name: ________________________ Class: ________________________ Date: ________________________

Instructions

Answer all questions.
Show your working clearly in the space provided.
Write your answers in the spaces provided.
Calculators are not allowed.
The total marks for this paper is 40.

Section A: Place Value and Number Sense (10 marks)

Answer Questions 1 to 5. Each question carries 2 marks.

1. Write the following number in numerals.

Seventy-two thousand, four hundred and six.

Answer: ________________________

2. In the number 63,815, what does the digit 8 stand for?

Answer: ________________________

3. Arrange the following numbers in order, starting with the smallest.

45,230 | 45,032 | 45,320 | 45,203

Answer: ________, ________, ________, ________

4. What is the value of the digit 7 in the number 78,429?

Answer: ________________________

5. Write the following number in words.

91,053

Answer: ________________________

Section B: Rounding Numbers (10 marks)

Answer Questions 6 to 10. Each question carries 2 marks.

6. Round 34,678 to the nearest hundred.

Answer: ________________________

7. Round 58,492 to the nearest thousand.

Answer: ________________________

8. A number rounded to the nearest ten is 46,250. What is the smallest possible value of this number?

Answer: ________________________

9. Round 72,505 to the nearest thousand.

Answer: ________________________

10. A number rounded to the nearest hundred is 83,600. What is the largest possible value of this number?

Answer: ________________________

Section C: Number Patterns and Sequences (10 marks)

Answer Questions 11 to 15. Each question carries 2 marks.

11. Fill in the missing number in the pattern below.

12,350 | 12,450 | 12,550 | ________ | 12,750

Answer: ________________________

12. Fill in the missing number in the pattern below.

85,000 | 82,000 | 79,000 | ________ | 73,000

Answer: ________________________

13. The first five terms of a number pattern are shown below.

5,000 | 10,000 | 15,000 | 20,000 | 25,000

What is the 8th term of this pattern?

Answer: ________________________

14. Fill in the missing number in the pattern below.

3,450 | 3,460 | 3,470 | ________ | 3,490

Answer: ________________________

15. A number pattern starts at 50,000 and decreases by 2,500 each time.

50,000 | 47,500 | 45,000 | ________ | 40,000

What is the missing number?

Answer: ________________________

Section D: Comparing, Ordering and Real-World Application (10 marks)

Answer Questions 16 to 20. Each question carries 2 marks.

16. Use the symbols >, < or = to make the statement true.

67,405 ________ 67,450

Answer: ________________________

17. The table below shows the number of visitors to four Singapore attractions in a week.

Attraction	Number of Visitors
Gardens by the Bay	48,750
Singapore Zoo	52,340
Sentosa Island	61,200
Marina Bay Sands	45,890

(a) Which attraction had the most visitors?

Answer: ________________________

(b) Round the number of visitors to Sentosa Island to the nearest thousand.

Answer: ________________________

18. A school library has 23,456 books. Another school library has 23,546 books. Which library has more books? How many more?

Answer: ________________________

19. The population of a town is 89,467. Round this number to the nearest thousand. Then write your rounded answer in words.

Answer: ________________________

20. A shop sold 34,567 bottles of water in January and 34,657 bottles in February.

(a) In which month did the shop sell more bottles?

Answer: ________________________

(b) How many more bottles were sold in that month?

Answer: ________________________

End of Paper

Answers

TuitionGoWhere Practice Paper - Mathematics Primary 4

Answer Key — Practice Paper 1 (Version 1 of 5)

Subject: Mathematics | Level: Primary 4 | Topic: Whole Numbers (up to 100,000)

Section A: Place Value and Number Sense (10 marks)

1. Write the following number in numerals. (2 marks)

Seventy-two thousand, four hundred and six.

Answer: 72,406

Working:

Seventy-two thousand = 72,000
Four hundred = 400
Six = 6
Combined: 72,000 + 400 + 6 = 72,406

Marking Notes:

2 marks for correct answer.
1 mark if the student writes 72,460 or 72,046 (digit transposition error — partial credit for understanding place value structure).
Common mistake: Writing "72,46" or "7246" (omitting the thousands place zero).

2. In the number 63,815, what does the digit 8 stand for? (2 marks)

Answer: 800 (or "eight hundred")

Working:

The number 63,815 has the following place values:
- 6 → ten thousands place → 60,000
- 3 → thousands place → 3,000
- 8 → hundreds place → 800
- 1 → tens place → 10
- 5 → ones place → 5
The digit 8 is in the hundreds place, so it stands for 800.

Marking Notes:

2 marks for "800" or "eight hundred."
1 mark if the student writes "8" or "hundreds" without the value.
Common mistake: Writing "80" (confusing hundreds with tens place).

3. Arrange the following numbers in order, starting with the smallest. (2 marks)

45,230 | 45,032 | 45,320 | 45,203

Answer: 45,032, 45,203, 45,230, 45,320

Working:

All numbers have the same ten thousands digit (4) and thousands digit (5).
Compare the hundreds digits: 0, 2, 2, 3
45,032 has 0 hundreds → smallest
Between 45,203 and 45,230: compare tens digits → 0 < 3, so 45,203 < 45,230
45,320 has 3 hundreds → largest
Order: 45,032 < 45,203 < 45,230 < 45,320

Marking Notes:

2 marks for all four numbers in correct order.
1 mark if only one or two numbers are out of place but the general strategy is correct.
Common mistake: Comparing only the last two or three digits instead of working left to right.

4. What is the value of the digit 7 in the number 78,429? (2 marks)

Answer: 70,000 (or "seventy thousand")

Working:

The number 78,429:
- 7 → ten thousands place → 70,000
- 8 → thousands place → 8,000
- 4 → hundreds place → 400
- 2 → tens place → 20
- 9 → ones place → 9
The digit 7 is in the ten thousands place, so its value is 70,000.

Marking Notes:

2 marks for "70,000" or "seventy thousand."
1 mark if the student writes "7" or "ten thousands" without the full value.
Common mistake: Writing "7,000" (confusing ten thousands with thousands).

5. Write the following number in words. (2 marks)

91,053

Answer: Ninety-one thousand and fifty-three

Working:

91,053 = 91,000 + 53
91,000 in words = "ninety-one thousand"
53 in words = "fifty-three"
Combined: "Ninety-one thousand and fifty-three"

Marking Notes:

2 marks for correct answer.
1 mark for minor spelling errors (e.g., "fourty" instead of "forty" — though not applicable here) or if the student writes "ninety-one thousand fifty-three" (missing "and" — acceptable in some conventions but "and" is preferred in Singapore syllabus).
Common mistake: Writing "nine thousand one thousand and fifty-three" or "ninety-one thousand and five hundred three."

Section B: Rounding Numbers (10 marks)

6. Round 34,678 to the nearest hundred. (2 marks)

Answer: 34,700

Working:

To round to the nearest hundred, look at the tens digit.
34,678: the tens digit is 7.
Since 7 ≥ 5, round up the hundreds digit from 6 to 7.
Replace tens and ones digits with zeros.
34,678 ≈ 34,700

Marking Notes:

2 marks for correct answer.
1 mark if the student rounds to 34,600 (incorrectly rounding down).
Common mistake: Rounding to the nearest thousand instead (35,000).

7. Round 58,492 to the nearest thousand. (2 marks)

Answer: 58,000

Working:

To round to the nearest thousand, look at the hundreds digit.
58,492: the hundreds digit is 4.
Since 4 < 5, round down — keep the thousands digit as 8.
Replace hundreds, tens, and ones digits with zeros.
58,492 ≈ 58,000

Marking Notes:

2 marks for correct answer.
1 mark if the student writes 59,000 (incorrectly rounding up).
Common mistake: Looking at the tens digit (9) instead of the hundreds digit (4).

8. A number rounded to the nearest ten is 46,250. What is the smallest possible value of this number? (2 marks)

Answer: 46,245

Working:

When rounding to the nearest ten, numbers from 46,245 to 46,254 round to 46,250.
The smallest number that rounds to 46,250 is 46,245.
Reasoning: The tens digit is 5, and the ones digit must be 5 or more to round up to 46,250. The smallest such number is when the ones digit is exactly 5.
46,245 ≈ 46,250 (nearest ten)

Marking Notes:

2 marks for correct answer.
1 mark if the student writes 46,250 (not understanding that the original number must be different).
Common mistake: Writing 46,244 (which would round to 46,240, not 46,250).

9. Round 72,505 to the nearest thousand. (2 marks)

Answer: 73,000

Working:

To round to the nearest thousand, look at the hundreds digit.
72,505: the hundreds digit is 5.
Since 5 ≥ 5, round up the thousands digit from 2 to 3.
Replace hundreds, tens, and ones digits with zeros.
72,505 ≈ 73,000

Marking Notes:

2 marks for correct answer.
1 mark if the student writes 72,000 (incorrectly rounding down when the hundreds digit is exactly 5).
Common mistake: Rounding down when the digit is 5 — students sometimes forget that 5 rounds up.

10. A number rounded to the nearest hundred is 83,600. What is the largest possible value of this number? (2 marks)

Answer: 83,649

Working:

When rounding to the nearest hundred, numbers from 83,550 to 83,649 round to 83,600.
The largest number that rounds to 83,600 is 83,649.
Reasoning: The hundreds digit is 6. For the number to round down to 83,600, the tens digit must be less than 5. The largest tens digit less than 5 is 4, and the largest ones digit is 9.
83,649 ≈ 83,600 (nearest hundred)

Marking Notes:

2 marks for correct answer.
1 mark if the student writes 83,650 (which would round to 83,700, not 83,600).
Common mistake: Writing 83,699 (which would round to 83,700).

Section C: Number Patterns and Sequences (10 marks)

11. Fill in the missing number in the pattern below. (2 marks)

12,350 | 12,450 | 12,550 | ________ | 12,750

Answer: 12,650

Working:

Find the pattern: 12,450 − 12,350 = 100
The pattern increases by 100 each time.
12,550 + 100 = 12,650
Check: 12,650 + 100 = 12,750 ✓

Marking Notes:

2 marks for correct answer.
1 mark if the student identifies the pattern (+100) but makes an arithmetic error.
Common mistake: Adding 1,000 instead of 100 (writing 13,550).

12. Fill in the missing number in the pattern below. (2 marks)

85,000 | 82,000 | 79,000 | ________ | 73,000

Answer: 76,000

Working:

Find the pattern: 82,000 − 85,000 = −3,000
The pattern decreases by 3,000 each time.
79,000 − 3,000 = 76,000
Check: 76,000 − 3,000 = 73,000 ✓

Marking Notes:

2 marks for correct answer.
1 mark if the student identifies the pattern (−3,000) but makes an arithmetic error.
Common mistake: Subtracting 2,000 instead of 3,000 (writing 77,000).

13. The first five terms of a number pattern are shown below. (2 marks)

5,000 | 10,000 | 15,000 | 20,000 | 25,000

What is the 8th term of this pattern?

Answer: 40,000

Working:

The pattern increases by 5,000 each time.
1st term: 5,000
2nd term: 10,000
3rd term: 15,000
4th term: 20,000
5th term: 25,000
6th term: 30,000
7th term: 35,000
8th term: 40,000

Alternatively: 8th term = 5,000 × 8 = 40,000

Marking Notes:

2 marks for correct answer.
1 mark if the student identifies the pattern but makes an arithmetic error.
Common mistake: Writing 35,000 (confusing the 7th term with the 8th term).

14. Fill in the missing number in the pattern below. (2 marks)

3,450 | 3,460 | 3,470 | ________ | 3,490

Answer: 3,480

Working:

Find the pattern: 3,460 − 3,450 = 10
The pattern increases by 10 each time.
3,470 + 10 = 3,480
Check: 3,480 + 10 = 3,490 ✓

Marking Notes:

2 marks for correct answer.
1 mark if the student identifies the pattern (+10) but makes an arithmetic error.
Common mistake: Adding 100 instead of 10 (writing 3,570).

15. A number pattern starts at 50,000 and decreases by 2,500 each time. (2 marks)

50,000 | 47,500 | 45,000 | ________ | 40,000

What is the missing number?

Answer: 42,500

Working:

The pattern decreases by 2,500 each time.
45,000 − 2,500 = 42,500
Check: 42,500 − 2,500 = 40,000 ✓

Marking Notes:

2 marks for correct answer.
1 mark if the student identifies the pattern (−2,500) but makes an arithmetic error.
Common mistake: Subtracting 2,000 or 3,000 instead of 2,500.

Section D: Comparing, Ordering and Real-World Application (10 marks)

16. Use the symbols >, < or = to make the statement true. (2 marks)

67,405 ________ 67,450

Answer: <

Working:

Compare digit by digit from left to right:
- Ten thousands: 6 = 6
- Thousands: 7 = 7
- Hundreds: 4 = 4
- Tens: 0 < 5
Since 0 < 5 in the tens place, 67,405 < 67,450.

Marking Notes:

2 marks for correct symbol.
1 mark if the student writes the correct comparison in words but uses the wrong symbol.
Common mistake: Writing > (reading left-to-right but not comparing correctly at the tens place).

17. The table below shows the number of visitors to four Singapore attractions in a week. (2 marks)

Attraction	Number of Visitors
Gardens by the Bay	48,750
Singapore Zoo	52,340
Sentosa Island	61,200
Marina Bay Sands	45,890

(a) Which attraction had the most visitors?

Answer: Sentosa Island

Working:

Compare all four numbers: 48,750 | 52,340 | 61,200 | 45,890
61,200 is the largest number.
Sentosa Island had the most visitors.

(b) Round the number of visitors to Sentosa Island to the nearest thousand.

Answer: 61,000

Working:

61,200 rounded to the nearest thousand:
Look at the hundreds digit: 2
Since 2 < 5, round down.
61,200 ≈ 61,000

Marking Notes:

1 mark for part (a), 1 mark for part (b).
Common mistake in (b): Rounding to 62,000 (incorrectly rounding up).

18. A school library has 23,456 books. Another school library has 23,546 books. Which library has more books? How many more? (2 marks)

Answer: The second library has more books. It has 90 more books.

Working:

Compare: 23,456 vs. 23,546
- Ten thousands: 2 = 2
- Thousands: 3 = 3
- Hundreds: 4 < 5
So 23,546 > 23,456. The second library has more books.
Find the difference: 23,546 − 23,456 = 90

Marking Notes:

2 marks for correct library identification AND correct difference.
1 mark if the student identifies the correct library but makes a subtraction error.
Common mistake: Subtracting incorrectly (e.g., 23,546 − 23,456 = 110 due to borrowing errors).

19. The population of a town is 89,467. Round this number to the nearest thousand. Then write your rounded answer in words. (2 marks)

Answer: 89,000; eighty-nine thousand

Working:

Round 89,467 to the nearest thousand:
- Look at the hundreds digit: 4
- Since 4 < 5, round down.
- 89,467 ≈ 89,000
Write 89,000 in words: eighty-nine thousand

Marking Notes:

1 mark for correct rounding, 1 mark for correct word form.
Common mistake: Rounding to 90,000 (incorrectly rounding up when the hundreds digit is 4).

20. A shop sold 34,567 bottles of water in January and 34,657 bottles in February. (2 marks)

(a) In which month did the shop sell more bottles?

Answer: February

Working:

Compare: 34,567 vs. 34,657
- Ten thousands: 3 = 3
- Thousands: 4 = 4
- Hundreds: 5 < 6
So 34,657 > 34,567. February had more sales.

(b) How many more bottles were sold in that month?

Answer: 90 bottles

Working:

Difference: 34,657 − 34,567 = 90

Marking Notes:

1 mark for part (a), 1 mark for part (b).
Common mistake in (b): Subtracting incorrectly (e.g., 34,657 − 34,567 = 110 due to borrowing errors).

Summary of Marks

Section	Topic	Marks
A	Place Value and Number Sense	10
B	Rounding Numbers	10
C	Number Patterns and Sequences	10
D	Comparing, Ordering and Real-World Application	10
Total		40

This practice paper was generated by OWL for TuitionGoWhere. It is aligned with the 2021 MOE Primary Mathematics Syllabus (P4) and is designed to complement school-based assessments. This is Version 1 of 5 — each version features distinct numbers, contexts, and question wording while maintaining the same syllabus coverage and difficulty profile.