Primary 4 Mathematics Practice Paper 1

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)

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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).

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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).

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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.

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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).

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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."

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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).

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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).

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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).

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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.

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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).

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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).

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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).

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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).

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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).

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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.

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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).

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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).

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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).

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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).

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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).

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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

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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.