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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
Version:	1 of 5
Duration:	1 hour
Total Marks:	60
Name:	_________________________
Class:	_________________________
Date:	_________________________

Instructions

This paper consists of three sections: A, B, and C.
Answer all questions.
Write your answers in the spaces provided.
Show all working clearly. Marks will be awarded for correct method even if the final answer is incorrect.
Use of calculators is not allowed.
The number of marks available is shown in brackets [ ] at the end of each question or part question.

Section A: Multiple Choice Questions [10 marks]

Choose the correct answer for each question and write its letter (A, B, C, or D) in the bracket provided.

Questions 1–10 carry 1 mark each.

1. In the number 87,456, which digit is in the thousands place?

A. 8 B. 7 C. 6 D. 4

( )

2. What does the digit 5 stand for in 45,932?

A. 5 B. 50 C. 500 D. 5,000

( )

3. Which of the following is sixty-three thousand and seventy-two written in figures?

A. 6,372 B. 63,072 C. 63,702 D. 630,072

( )

4. Round 47,856 to the nearest thousand.

A. 47,000 B. 47,800 C. 47,900 D. 48,000

( )

5. The number 3□,987 is rounded to the nearest ten thousand as 40,000. What is the smallest digit that can be placed in the box?

A. 5 B. 6 C. 9 D. 0

( )

6. Which of the following numbers is the greatest?

A. 78,645 B. 78,456 C. 78,564 D. 78,654

( )

7. What is the value of 8 ten thousands, 5 hundreds, 3 tens and 7 ones?

A. 80,537 B. 85,037 C. 85,370 D. 80,573

( )

8. 52,847 ≈ _____________ (to the nearest hundred)

A. 52,800 B. 52,900 C. 53,000 D. 52,840

( )

9. Which number below, when rounded to the nearest thousand, does not give 60,000?

A. 59,500 B. 60,499 C. 59,499 D. 60,128

( )

10. The difference between two numbers is 5,000. The greater number is 72,340. What is the smaller number?

A. 67,340 B. 77,340 C. 66,340 D. 77,430

( )

Section B: Short Answer Questions [20 marks]

Answer all questions. Show your working clearly.

Questions 11–15 carry 2 marks each.

11. Write fifty-three thousand, four hundred and eight in figures.

Answer: _________________________ [2]

12. In the number 91,506, which digit has the greatest value? What does it stand for?

Answer: Digit: _________________________

It stands for: _________________________ [2]

13. Round 68,349 to (a) the nearest ten, (b) the nearest hundred, (c) the nearest thousand.

Answer: (a) _________________________

(b) _________________________

14. Arrange the following numbers in ascending order.

94,056, 94,506, 94,056, 94,650, 94,605

Answer: _________________________ [2]

15. Find the sum of 38,456 and 24,987. Round your answer to the nearest hundred.

Answer: _________________________ [2]

Questions 16–20 carry 2 marks each.

16. A number rounded to the nearest thousand is 50,000. What is (a) the greatest possible number, (b) the smallest possible number?

Answer: (a) _________________________

(b) _________________________ [2]

17. Mrs. Tan sold 18,450 packets of noodles in January and 23,780 packets in February. How many packets did she sell altogether? Round your answer to the nearest thousand.

Answer: _________________________ [2]

18. subtract 14,567 from 82,003. Round your answer to the nearest hundred.

Answer: _________________________ [2]

19. <image_placeholder> id: Q19-fig1 type: table linked_question: Q19 description: A table showing the population of four Singapore neighbourhoods in 2024 labels: Neighbourhood, Population; Tampines, 25,846; Bedok, 31,502; Jurong West, 28,975; Woodlands, 26,138 values: Tampines: 25,846; Bedok: 31,502; Jurong West: 28,975; Woodlands: 26,138 must_show: Four rows of data with neighbourhood names and their populations; clear column headers </image_placeholder>

The table shows the population of four neighbourhoods in Singapore.

(a) Which neighbourhood has the greatest population?

(b) Find the total population of Tampines and Jurong West. Round your answer to the nearest thousand.

Answer: (a) _________________________

(b) _________________________ [2]

20. <image_placeholder> id: Q20-fig1 type: number_line linked_question: Q20 description: A number line showing positions from 45,000 to 55,000 with markings every 1,000 and tick marks every 100 labels: 45,000, 46,000, 47,000, 48,000, 49,000, 50,000, 51,000, 52,000, 53,000, 54,000, 55,000; Point A at 47,350; Point B at 52,650 values: Point A: 47,350; Point B: 52,650 must_show: Number line from 45,000 to 55,000; major markings every 1,000; minor tick marks every 100; labelled points A and B with their positions clearly indicated </image_placeholder>

The number line shows two points, A and B.

(a) Write down the number shown by point A.

(b) Find the difference between the numbers shown by points B and A.

Answer: (a) _________________________

(b) _________________________ [2]

Section C: Longer Problems [30 marks]

Answer all questions. Show all working clearly.

Questions 21–25 carry 4 marks each.

21. The table shows the number of visitors to four museums in Singapore during one week.

Museum	Number of Visitors
National Museum	12,456
ArtScience Museum	15,230
Singapore Zoo	28,765
Gardens by the Bay	31,498

(a) Round the number of visitors to the ArtScience Museum to the nearest thousand. [1]

Answer (a): _________________________

(b) Find the total number of visitors to the National Museum and Gardens by the Bay. [2]

Answer (b): _________________________

Answer (c): _________________________

22. <image_placeholder> id: Q22-fig1 type: table linked_question: Q22 description: A price list showing costs of items at a Singapore school bookshop labels: Item, Price; Basic Mathematics Textbook, $24.85; Science Workbook,$ 18.60; English Dictionary, $32.40; Art Supplies Set,$ 15.75; Calculator, $12.90 values: Mathematics:$ 24.85; Science: $18.60; Dictionary:$ 32.40; Art: $15.75; Calculator:$ 12.90 must_show: Five items with their prices in dollars and cents; clear column headers; dollar signs and two decimal places for all prices </image_placeholder>

Siti bought a Basic Mathematics Textbook and an English Dictionary from the school bookshop. She gave the cashier a $100 note.

(a) How much did Siti spend altogether? [2]

Answer (a): _________________________

(b) How much change did she receive? [2]

Answer (b): _________________________

23. Jason has 45,600 stamps in his collection. His sister has 12,450 fewer stamps than Jason. Their cousin has 8,750 more stamps than Jason's sister.

(a) How many stamps does Jason's sister have? [2]

Answer (a): _________________________

(b) How many stamps does their cousin have? [2]

Answer (b): _________________________

24. <image_placeholder> id: Q24-fig1 type: bar_chart linked_question: Q24 description: A bar chart showing the number of books borrowed from four Singapore school libraries in one month labels: Library A, Library B, Library C, Library D; Vertical axis: Number of books, from 0 to 40,000 in steps of 5,000 values: Library A: 18,500; Library B: 32,000; Library C: 24,750; Library D: 15,250 must_show: Four vertical bars with different heights; labelled x-axis with library names; labelled y-axis with scale from 0 to 40,000 in 5,000 increments; bar heights clearly corresponding to values; title "Books Borrowed from School Libraries" </image_placeholder>

The bar chart shows the number of books borrowed from four school libraries in one month.

(a) Which library borrowed the most books? [1]

Answer (a): _________________________

(b) Find the difference between the greatest and least number of books borrowed. [2]

Answer (b): _________________________

Answer (c): _________________________

25. A 5-digit number is made using the digits 7, 3, 0, 5, and 9, each used exactly once.

(a) What is the greatest 5-digit number that can be formed? [1]

Answer (a): _________________________

(b) What is the smallest 5-digit number that can be formed? [1]

Answer (b): _________________________

Answer (c): _________________________

(d) Find the difference between your answers in part (a) and part (b). [1]

Answer (d): _________________________

— END OF PAPER —

[Total: 60 marks]

MARKING SUMMARY CHECK

Section	Questions	Marks
A	1–10	10
B	11–20	20
C	21–25	30
Total		60

Answers

TuitionGoWhere Practice Paper Answer Key - Mathematics Primary 4

Version 1 of 5

Section A: Multiple Choice Questions [10 marks]

Question	Answer	Explanation
1	B	In 87,456: 8 is ten thousands, 7 is thousands, 4 is hundreds, 5 is tens, 6 is ones. The digit in the thousands place is 7.
2	D	In 45,932: the digit 5 is in the thousands place, so it stands for 5,000 (5 × 1,000).
3	B	Sixty-three thousand = 63,000; seventy-two = 72. Combined: 63,072.
4	D	47,856: look at the hundreds digit (8). Since 8 ≥ 5, round up the thousands digit from 7 to 8. Answer: 48,000.
5	A	For rounding to nearest ten thousand: 3□,987 → 40,000. Need the ten thousands digit to round up from 3 to 4. The thousands digit must be 5 or more. Smallest digit: 5.
6	D	Compare digit by digit from left: all have 78 thousands. Compare hundreds: 6 > 5. So 78,654 > 78,645 > 78,564 > 78,456. Greatest: 78,654.
7	A	8 ten thousands = 80,000; 5 hundreds = 500; 3 tens = 30; 7 ones = 7. Total: 80,000 + 500 + 30 + 7 = 80,537.
8	A	52,847: look at tens digit (4). Since 4 < 5, keep hundreds digit as 8. Answer: 52,800.
9	C	(A) 59,500 → 60,000 ✓; (B) 60,499 → 60,000 ✓; (C) 59,499 → 59,000 ✗; (D) 60,128 → 60,000 ✓. Answer: C
10	A	Smaller number = 72,340 − 5,000 = 67,340.

Section B: Short Answer Questions [20 marks]

11. Write fifty-three thousand, four hundred and eight in figures. [2]

Answer: 53,408

Method:

Fifty-three thousand = 53,000
Four hundred = 400
Eight = 8
Total: 53,000 + 400 + 8 = 53,408

Marking: Correct answer only [2]. If figures incorrect but place value understanding shown [1].

12. In the number 91,506, which digit has the greatest value? What does it stand for? [2]

Answer: Digit: 9

It stands for: 90,000 (or 9 ten thousands)

Method:

9 is in the ten thousands place → 90,000
1 is in the thousands place → 1,000
5 is in the hundreds place → 500
0 is in the tens place → 0
6 is in the ones place → 6

The digit 9 has the greatest value because 90,000 > 1,000 > 500 > 6.

Marking: Correct digit [1]; correct value [1].

Common mistake: Students may say "9" without specifying what it stands for, or confuse "digit" with "place value."

13. Round 68,349 to (a) the nearest ten, (b) the nearest hundred, (c) the nearest thousand. [2]

Answer: (a) 68,350 (b) 68,300 (c) 68,000

Method:

(a) Nearest ten: Look at ones digit (9). Since 9 ≥ 5, round up tens digit from 4 to 5. 68,349 → 68,350
(b) Nearest hundred: Look at tens digit (4). Since 4 < 5, keep hundreds digit as 3. 68,349 → 68,300
(c) Nearest thousand: Look at hundreds digit (3). Since 3 < 5, keep thousands digit as 8. 68,349 → 68,000

Marking: All three correct [2]; two correct [1]; one or none correct [0].

Teaching note: Emphasize that we look at the digit immediately to the right of the place we're rounding to.

14. Arrange in ascending order: 94,056, 94,506, 94,056, 94,650, 94,605 [2]

Answer: 94,056, 94,056, 94,506, 94,605, 94,650

Method:

All numbers have 94 thousands, so compare hundreds: 0 < 5 < 6
For 94,506 vs 94,605: 506 < 605
For 94,605 vs 94,650: 605 < 650
94,056 appears twice (note: this tests careful reading)

Marking: Correct order [2]; reversed order (descending) [1]; minor error [1].

15. Find the sum of 38,456 and 24,987. Round to the nearest hundred. [2]

Answer: 63,400

Method:

38,456 + 24,987 = 63,443
To round to nearest hundred: look at tens digit (4). Since 4 < 5, keep hundreds digit as 4.
Rounded answer: 63,400

Marking: Correct sum [1]; correct rounding [1]. If only final answer 63,400 with no working shown [2]; if sum wrong but correctly rounded [1].

16. A number rounded to the nearest thousand is 50,000. [2]

(a) Greatest possible number: 50,499 (b) Smallest possible number: 49,500

Method:

For rounding to 50,000: the number must be from 49,500 to 50,499 inclusive
(a) Greatest: just before rounding up to 51,000 → 50,499 (50,500 would round to 51,000)
(b) Smallest: the first number that rounds up to 50,000 → 49,500 (49,499 would round to 49,000)

Marking: (a) correct [1]; (b) correct [1].

Common mistake: Students often write 50,499 for (a) but 49,000 or 49,999 for (b). Emphasise the "halfway" rule: 49,500 is exactly halfway and rounds up by convention.

17. Mrs. Tan sold 18,450 in January and 23,780 in February. Total? Round to nearest thousand. [2]

Answer: 43,000 packets

Method:

18,450 + 23,780 = 42,230
Round to nearest thousand: look at hundreds digit (2). Since 2 < 5, keep thousands digit as 2.
Wait—correction: 42,230, hundreds digit is 2, so we keep 42. But thousands digit is 2, so 42,000? No: 42,230 thousands digit is 2, but actually 42,230: the thousands place is 2 (in 42 thousand). Hundreds digit is 2. So 42,230 → 42,000?

Let me recheck: 18,450 + 23,780 = 42,230.

Nearest thousand: look at hundreds digit (2). 2 < 5, so we keep 42. Result: 42,000

Corrected Answer: 42,000 packets

Method (corrected):

18,450 + 23,780 = 42,230
Round 42,230 to nearest thousand: hundreds digit is 2, so round down to 42,000

Marking: Correct total [1]; correct rounding [1].

18. Subtract 14,567 from 82,003. Round to nearest hundred. [2]

Answer: 67,400

Method:

82,003 − 14,567 = 67,436
Round to nearest hundred: tens digit is 3. Since 3 < 5, keep hundreds digit as 4.
Answer: 67,400

Marking: Correct difference [1]; correct rounding [1].

19. Neighbourhood populations: Tampines 25,846; Bedok 31,502; Jurong West 28,975; Woodlands 26,138

(a) Bedok [1]

(b) Total of Tampines and Jurong West, rounded to nearest thousand: 55,000 [1]

Method (b):

25,846 + 28,975 = 54,821
Round to nearest thousand: hundreds digit is 8. Since 8 ≥ 5, round up from 54 to 55.
Answer: 55,000

Marking: (a) [1]; (b) correct total and rounding [1], or correct method but arithmetic error [1].

20. Number line: Point A at 47,350; Point B at 52,650

(a) 47,350 [1]

(b) Difference: 5,300 [1]

Method (b):

52,650 − 47,350 = 5,300
Or: 52,650 − 47,350 = (52,650 − 47,000) − 350 = 5,650 − 350 = 5,300

Marking: (a) [1]; (b) [1].

Section C: Longer Problems [30 marks]

21. Museum visitors [4 marks]

(a) Round 15,230 to nearest thousand. [1]

Answer (a): 15,000

Method: Hundreds digit is 2. Since 2 < 5, keep thousands digit as 5. 15,000

(b) Total visitors to National Museum and Gardens by the Bay. [2]

Answer (b): 43,954

Method:

National Museum: 12,456
Gardens by the Bay: 31,498
Total: 12,456 + 31,498 = 43,954

Working:

  12,456
+ 31,498
--------
  43,954

Marking: Correct method with working [1]; correct answer [1].

Answer (c): 13,535

Method: 28,765 − 15,230 = 13,535

22. School bookshop [4 marks]

(a) Cost of Mathematics Textbook ( $24.85) and English Dictionary ($ 32.40) [2]

Answer (a): $57.25

Method:

$24.85 +$ 32.40 = $57.25
Working with decimals: align decimal points

  24.85
+ 32.40
-------
  57.25

Marking: Correct method [1]; correct answer [1].

(b) Change from $100 [2]

Answer (b): $42.75

Method:

$100.00 −$ 57.25 = $42.75
Working:

 100.00
- 57.25
-------
  42.75

Or: $100 −$ 57 = $43, then$ 43 − $0.25 = **$ 42.75**

Marking: Correct method [1]; correct answer [1].

Common mistake: Forgetting to "borrow" across the decimal point. Students may write 100 − 57.25 = 43.25.

23. Stamp collection [4 marks]

(a) Jason's sister's stamps [2]

Answer (a): 33,150 stamps

Method:

Jason: 45,600
Sister has 12,450 fewer: 45,600 − 12,450 = 33,150

Working:

  45,600
- 12,450
--------
  33,150

Marking: Correct subtraction method [1]; correct answer [1].

(b) Cousin's stamps [2]

Answer (b): 41,900 stamps

Method:

Sister: 33,150
Cousin has 8,750 more: 33,150 + 8,750 = 41,900

Working:

  33,150
+  8,750
--------
  41,900

Marking: Correct addition method [1]; correct answer [1].

Note: This is a two-step problem. Students must use their answer from (a) or restart with Jason's number. Either approach acceptable if correct.

24. Bar chart: Library books borrowed [4 marks]

(a) Library with most books [1]

Answer (a): Library B

Expected visual: From the bar chart (described in placeholder), Library B has the tallest bar at 32,000, which exceeds Library C (24,750), Tampines equivalent (18,500), and Library D (15,250).

(b) Difference between greatest and least [2]

Answer (b): 16,750 books

Method:

Greatest: Library B = 32,000
Least: Library D = 15,250
Difference: 32,000 − 15,250 = 16,750

Working:

  32,000
- 15,250
--------
  16,750

Marking: Correctly identify greatest and least from chart [1]; correct calculation [1].

Answer (c): 30,000 books

Method:

Library C: 24,750
Library E: 24,750 + 5,250 = 30,000

25. 5-digit number using 7, 3, 0, 5, 9 [4 marks]

(a) Greatest 5-digit number [1]

Answer (a): 97,530

Method: Arrange digits in descending order: 9 > 7 > 5 > 3 > 0 → 97,530

Note: Must be 5-digit, so cannot start with 0. 97,530 is valid.

(b) Smallest 5-digit number [1]

Answer (b): 30,579

Method: Arrange with smallest non-zero digit first, then remaining digits in ascending order: 3 > 0 > 5 > 7 > 9 → 30,579

Note: Cannot start with 0 (would be 4-digit). So 3 is first, then 0, then 5, 7, 9.

Common mistake: 03,579 or 30,579. The first is not a 5-digit number (it's 3,579). Must be 30,579.

Answer (c): 98,000

Method: 97,530: hundreds digit is 5. Since 5 ≥ 5, round up from 97 to 98. 98,000

(d) Difference between (a) and (b) [1]

Answer (d): 66,951

Method: 97,530 − 30,579 = 66,951

Working:

  97,530
- 30,579
--------
  66,951

Marking: Correct subtraction [1].

Summary Mark Scheme

Question	Marks	Topic
1–10	10	Place value, rounding, operations, number sense
11–15	10	Writing numbers, place value, rounding, ordering, addition with rounding
16–20	10	Rounding range, word problems, data interpretation, number lines
21	4	Data table: rounding, addition, subtraction
22	4	Money: decimal addition, finding change
23	4	Multi-step word problem: subtraction, addition
24	4	Bar chart interpretation: reading, comparison, calculation
25	4	Digit arrangement, rounding, subtraction
Total	60

End of Answer Key

Note: This is Version 1 of 5. Questions vary in number values, contexts, and ordering across versions while maintaining the same syllabus coverage and difficulty distribution.