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Primary 6 PSLE Mathematics Practice Paper 4

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TuitionGoWhere Practice Paper - Mathematics Primary 6 PSLE

TuitionGoWhere Practice Paper (AI)

Subject: Mathematics Level: Primary 6 (PSLE) Paper: Practice Paper — Whole Numbers Version: 4 of 5 Duration: 50 minutes Total Marks: 40

Name: ________________________ Class: ________________________ Date: ________________________

Instructions

Answer all questions.
Show your working clearly in the space provided. Marks are awarded for correct working even if the final answer is wrong.
Do not use a calculator.
Write your answers in the spaces provided.
The number of marks available for each question is shown in brackets [ ].

Section A: Short Answer Questions (20 marks)

Questions 1–10 are worth 2 marks each. Write your answer in the space provided. Show your working where necessary.

1. Write the following number in numerals.

Seven million, three hundred and five thousand, two hundred and eight

Answer: ________________________ [2]

2. What is the value of the digit 6 in the number 8,642,159?

Answer: ________________________ [2]

3. Round 3,847,526 to the nearest hundred thousand.

Answer: ________________________ [2]

4. Find the highest common factor (HCF) of 36 and 84.

Answer: ________________________ [2]

5. Find the lowest common multiple (LCM) of 8 and 14.

Answer: ________________________ [2]

6. Express 72 as a product of its prime factors. Give your answer in index notation.

Answer: ________________________ [2]

7. List all the factors of 60.

Answer: ________________________ [2]

8. A number is divisible by both 4 and 6. What is the smallest positive number it could be?

Answer: ________________________ [2]

9. Arrange the following numbers in ascending order.

5,203,814 | 5,023,841 | 5,230,148 | 5,032,418

Answer: ________________________ [2]

10. What is the missing number?

4 × (7 + ▢) = 4 × 7 + 4 × 9

Answer: ________________________ [2]

Section B: Structured Questions (12 marks)

Questions 11–14 carry 3 marks each. Show all your working clearly.

11. The population of a town is 4,562,380. Of these, 1,285,470 are children and 1,976,350 are adults. The rest are senior citizens.

(a) How many adults and children are there altogether?

Working:

Answer: ________________________ [1]

(b) How many senior citizens are there in the town?

Working:

Answer: ________________________ [2]

12. A factory produces 2,400 toys per day. The toys are packed into boxes of 24 each.

(a) How many boxes are filled in one day?

Working:

Answer: ________________________ [1]

(b) How many boxes are filled in 30 days?

Working:

Answer: ________________________ [1]

(c) If each box is sold for $15, how much money is earned from selling all the boxes filled in 30 days?

Working:

Answer: ________________________ [1]

13. Find the smallest whole number that is divisible by 5, 8, and 12. Show your working.

Working:

Answer: ________________________ [3]

14. The table below shows the number of visitors to a science exhibition over three days.

Day	Number of Visitors
Friday	3,285
Saturday	5,470
Sunday	4,615

(a) How many more visitors were there on Saturday than on Friday?

Working:

Answer: ________________________ [1]

(b) What is the total number of visitors over the three days? Round your answer to the nearest thousand.

Working:

Answer: ________________________ [2]

Section C: Problem-Solving Questions (8 marks)

Questions 15–20 carry between 1 and 3 marks each. Show all your working clearly.

15. Tom thought of a 7-digit number. The digit in the millions place is 6. The digit in the ten thousands place is 3. The digit in the hundreds place is 8. All other digits are 0. What number did Tom think of?

Working:

Answer: ________________________ [2]

16. A school has 1,260 students. They are arranged in rows for an assembly. Each row has the same number of students.

(a) If there are 35 students in each row, how many rows are there?

Working:

Answer: ________________________ [1]

(b) If the school wants to arrange the students into 42 rows instead, how many students will be in each row?

Working:

Answer: ________________________ [1]

17. The product of two numbers is 1,260. One of the numbers is 35. What is the other number?

Working:

Answer: ________________________ [2]

18. A number is between 4,000,000 and 5,000,000. The digit in the hundred thousands place is 7. The digit in the tens place is 3. All other digits are 0. Write this number in numerals.

Working:

Answer: ________________________ [2]

19. Three bells ring at intervals of 12 seconds, 15 seconds, and 20 seconds respectively. If they ring together at 9:00 a.m., at what time will they next ring together?

Working:

Answer: ________________________ [3]

20. A shopkeeper has $5,000** to buy chairs. Each chair costs **$ 75.

(a) What is the greatest number of chairs he can buy?

Working:

Answer: ________________________ [1]

(b) How much money will he have left after buying the chairs?

Working:

Answer: ________________________ [1]

(c) He uses the remaining money to buy small stools at $8 each. How many stools can he buy?

Working:

Answer: ________________________ [1]

End of Paper

Check your work if you have time remaining.

Answers

TuitionGoWhere Practice Paper — Answer Key

Mathematics Primary 6 PSLE — Whole Numbers (Version 4 of 5)

Section A: Short Answer Questions (20 marks)

1. Write in numerals: Seven million, three hundred and five thousand, two hundred and eight

Answer: 7,305,208

Working: 7,000,000 + 305,000 + 200 + 8 = 7,305,208

Marks: 2 — Award 2 marks for the correct numeral. Award 1 mark if the student writes the correct digits but makes a place-value error (e.g., 7,350,208).

2. Value of digit 6 in 8,642,159

Answer: 600,000 (or six hundred thousand)

Working: The digit 6 is in the hundred thousands place. 6 × 100,000 = 600,000.

Marks: 2 — Award 2 marks for 600,000. Award 1 mark if the student writes "hundred thousands place" without the value, or writes 60,000 (confusing with ten thousands).

3. Round 3,847,526 to the nearest hundred thousand.

Answer: 3,800,000

Working: The hundred thousands digit is 8. The ten thousands digit is 4, which is less than 5, so we round down. 3,847,526 → 3,800,000.

Marks: 2 — Award 2 marks for 3,800,000. Award 1 mark if the student identifies the correct rounding digit but gives an incorrect result (e.g., 3,850,000 — rounding to ten thousand instead).

4. HCF of 36 and 84

Answer: 12

Working:

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Common factors: 1, 2, 3, 4, 6, 12
HCF = 12

Alternative method (prime factorisation):

36 = 2² × 3²
84 = 2² × 3 × 7
HCF = 2² × 3 = 12

Marks: 2 — Award 2 marks for the correct answer with or without working. Award 1 mark for a correct method with an arithmetic error.

5. LCM of 8 and 14

Answer: 56

Working:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, ...
Multiples of 14: 14, 28, 42, 56, 70, ...
LCM = 56

Alternative method (prime factorisation):

8 = 2³
14 = 2 × 7
LCM = 2³ × 7 = 56

Marks: 2 — Award 2 marks for 56. Award 1 mark for correct prime factorisation with a multiplication error.

6. Express 72 as a product of prime factors in index notation.

Answer: 2³ × 3²

Working:

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

So 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

Marks: 2 — Award 2 marks for 2³ × 3². Award 1 mark if the student lists the prime factors correctly but does not use index notation (e.g., 2 × 2 × 2 × 3 × 3).

7. List all the factors of 60.

Answer: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Working: Systematic pairing:

1 × 60 = 60
2 × 30 = 60
3 × 20 = 60
4 × 15 = 60
5 × 12 = 60
6 × 10 = 60

Marks: 2 — Award 2 marks for all 12 factors listed in order. Award 1 mark if the student lists at least 8 correct factors but misses some or does not list in order.

8. Smallest positive number divisible by both 4 and 6.

Answer: 12

Working: This is the LCM of 4 and 6.

Multiples of 4: 4, 8, 12, 16, ...
Multiples of 6: 6, 12, 18, ...
LCM = 12

Marks: 2 — Award 2 marks for 12. Award 1 mark for a correct listing method with a minor error.

9. Arrange in ascending order: 5,203,814 | 5,023,841 | 5,230,148 | 5,032,418

Answer: 5,023,841; 5,032,418; 5,203,814; 5,230,148

Working: All numbers are 7-digit numbers starting with 5. Compare the hundred thousands digit:

5,023,841 → hundred thousands digit = 0 (ten thousands = 2)
5,032,418 → hundred thousands digit = 0 (ten thousands = 3)
5,203,814 → hundred thousands digit = 2
5,230,148 → hundred thousands digit = 2

Between 5,203,814 and 5,230,148: compare ten thousands digit: 0 < 3, so 5,203,814 < 5,230,148.

Marks: 2 — Award 2 marks for the correct order. Award 1 mark if the student gets 3 out of 4 in the correct position.

10. Missing number: 4 × (7 + ▢) = 4 × 7 + 4 × 9

Answer: 9

Working: Using the distributive property: 4 × (7 + ▢) = 4 × 7 + 4 × ▢. Comparing with the right side: 4 × ▢ = 4 × 9, so ▢ = 9.

Marks: 2 — Award 2 marks for 9. Award 1 mark if the student shows understanding of the distributive property but makes an error.

Section B: Structured Questions (12 marks)

11. Population problem

(a) Adults and children altogether:

Answer: 3,261,820

Working: 1,285,470 + 1,976,350 = 3,261,820

Marks: 1 — Award 1 mark for the correct answer.

(b) Senior citizens:

Answer: 1,300,560

Working: 4,562,380 − 3,261,820 = 1,300,560

Marks: 2 — Award 2 marks for the correct answer with working. Award 1 mark for correct subtraction from the total even if part (a) was wrong (follow through).

12. Toy factory problem

(a) Boxes filled in one day:

Answer: 100 boxes

Working: 2,400 ÷ 24 = 100

Marks: 1 — Award 1 mark for 100.

(b) Boxes filled in 30 days:

Answer: 3,000 boxes

Working: 100 × 30 = 3,000

Marks: 1 — Award 1 mark for 3,000 (follow through from part (a)).

(c) Money earned:

Answer: $45,000

Working: 3,000 × $15 =$ 45,000

Marks: 1 — Award 1 mark for $45,000 (follow through from part (b)).

13. Smallest whole number divisible by 5, 8, and 12

Answer: 120

Working:

5 = 5
8 = 2³
12 = 2² × 3
LCM = 2³ × 3 × 5 = 8 × 3 × 5 = 120

Marks: 3 — Award 3 marks for the correct answer with clear prime factorisation working. Award 2 marks for correct prime factorisation with a multiplication error. Award 1 mark for attempting to find a common multiple by listing.

14. Science exhibition visitors

(a) Saturday − Friday:

Answer: 2,185 more visitors

Working: 5,470 − 3,285 = 2,185

Marks: 1 — Award 1 mark for 2,185.

(b) Total visitors rounded to nearest thousand:

Answer: 13,000 (or 13,000 visitors)

Working: 3,285 + 5,470 + 4,615 = 13,370. Rounded to nearest thousand: 13,000 (since 370 < 500, round down).

Marks: 2 — Award 2 marks for 13,000 with correct working. Award 1 mark for the correct total 13,370 without rounding, or for correct rounding of a follow-through total.

Section C: Problem-Solving Questions (8 marks)

15. Tom's 7-digit number

Answer: 6,030,800

Working:

Millions place: 6
Hundred thousands: 0
Ten thousands: 3
Thousands: 0
Hundreds: 8
Tens: 0
Ones: 0
Number: 6,030,800

Marks: 2 — Award 2 marks for 6,030,800. Award 1 mark if the student places the digits correctly but omits zeros in the wrong positions (e.g., 63,800 — not a 7-digit number).

16. School assembly

(a) Number of rows:

Answer: 36 rows

Working: 1,260 ÷ 35 = 36

Marks: 1 — Award 1 mark for 36.

(b) Students per row in 42 rows:

Answer: 30 students

Working: 1,260 ÷ 42 = 30

Marks: 1 — Award 1 mark for 30.

17. Product of two numbers is 1,260; one number is 35

Answer: 36

Working: 1,260 ÷ 35 = 36

Marks: 2 — Award 2 marks for 36 with working. Award 1 mark for correct division setup.

18. Number between 4,000,000 and 5,000,000

Answer: 4,700,030

Working:

Millions digit: 4 (between 4M and 5M)
Hundred thousands digit: 7 → 4,700,000
Tens digit: 3 → 30
All other digits: 0
Number: 4,700,030

Marks: 2 — Award 2 marks for 4,700,030. Award 1 mark if the student correctly identifies the millions and hundred thousands digits but makes an error in the tens place.

19. Three bells ringing together

Answer: 9:01 a.m. (or 9:01)

Working:

Find LCM of 12, 15, and 20.
12 = 2² × 3
15 = 3 × 5
20 = 2² × 5
LCM = 2² × 3 × 5 = 60 seconds = 1 minute
They will ring together again after 60 seconds = 1 minute.
9:00 a.m. + 1 minute = 9:01 a.m.

Marks: 3 — Award 3 marks for 9:01 a.m. with full working. Award 2 marks for correct LCM but wrong time conversion. Award 1 mark for attempting to find a common multiple.

20. Shopkeeper buying chairs and stools

(a) Greatest number of chairs:

Answer: 66 chairs

Working: $5,000 ÷$ 75 = 66 remainder $50. So the greatest number is 66 chairs.

Marks: 1 — Award 1 mark for 66.

(b) Money left:

Answer: $50

Working: $5,000 − (66 ×$ 75) = $5,000 −$ 4,950 = $50

Marks: 1 — Award 1 mark for $50 (follow through from part (a)).

(c) Number of stools:

Answer: 6 stools

Working: $50 ÷$ 8 = 6 remainder $2. So he can buy 6 stools.

Marks: 1 — Award 1 mark for 6 (follow through from part (b)).

Mark Summary

Section	Marks
A: Questions 1–10	20
B: Questions 11–14	12
C: Questions 15–20	8
Total	40

This practice paper was generated as supplementary preparation material. It is syllabus-aligned but not derived from any specific past-year examination paper.