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Primary 6 PSLE Mathematics Semestral Assessment 2 (End of Year) Paper 5
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Questions
TuitionGoWhere Practice Paper - Mathematics Primary 6 PSLE
School: TuitionGoWhere Secondary School (AI) Subject: Mathematics Level: Primary 6 (PSLE Standard) Paper: SA2 Practice Paper — Version 5 of 5 Duration: 1 hour 30 minutes (90 minutes) Total Marks: 60
Name: ________________________ Class: ________________________ Date: ________________________
Instructions to Candidates
- Write your name, class, and date in the spaces provided above.
- Do not open this booklet until you are told to do so.
- Answer ALL questions in the spaces provided.
- Show all working clearly — marks are awarded for correct working even if the final answer is wrong.
- The use of calculators is NOT allowed.
- Diagrams are not drawn to scale unless stated.
- The total marks for this paper is 60.
- Check your work carefully before submitting.
Section A: Short Answer Questions (20 marks)
Questions 1–10. Each question carries 2 marks. Write your answers in the spaces provided. Show all working.
1. Write the following number in numerals.
Five million, three hundred and twelve thousand, six hundred and forty-eight.
Answer: ________________________
2. Round 7,845,321 to the nearest hundred thousand.
Answer: ________________________
3. Find the value of 4 × 250 × 50.
Answer: ________________________
4. List all the factors of 72.
Answer: ________________________
5. Find the lowest common multiple (LCM) of 18 and 24.
Answer: ________________________
6. A factory produced 3,672 toys in January and 4,589 toys in February. How many toys did the factory produce in the two months? Round your answer to the nearest thousand.
Answer: ________________________
7. Find the value of 12,000 ÷ (15 × 8).
Answer: ________________________
8. Write the missing number.
3,450,000 = 3 million + _________ thousands.
Answer: ________________________
9. Arrange the following numbers in order, starting with the smallest.
8,045,200 | 8,405,200 | 8,042,500 | 8,450,020
Answer: ________________________
10. The table below shows the population of four towns.
| Town | Population |
|---|---|
| A | 2,345,678 |
| B | 2,435,678 |
| C | 2,345,867 |
| D | 2,354,678 |
Which town has the greatest population?
Answer: ________________________
Section B: Structured Short Answer Questions (20 marks)
Questions 11–15. Each question carries 4 marks. Show all working clearly.
11. A school library had 12,500 books. The school bought 3,750 new books in March and donated 2,180 old books in April.
(a) How many books were in the library at the end of April?
(b) The librarian wants to arrange all the remaining books equally on 15 shelves. How many books will be on each shelf?
Answer (a): ________________________
Answer (b): ________________________
12. The HCF of two numbers is 12. The LCM of the two numbers is 360. One of the numbers is 60. Find the other number.
Answer: ________________________
13. A fruit seller had 960 oranges. He packed them into bags of 12 oranges each. He sold each bag for $5.
(a) How many bags of oranges did he pack?
(b) If he sold all the bags, how much money did he collect?
Answer (a): ________________________
Answer (b): ________________________
14. Find the value of 48 × 25 by rewriting 48 as (50 − 2).
Answer: ________________________
15. The number 5_3,826 is divisible by 9. What is the missing digit?
Answer: ________________________
Section C: Word Problem Questions (20 marks)
Questions 16–20. Each question carries 4 marks. Show all working clearly and write your answers in the spaces provided.
16. Mr Tan earned 1,250 more than in January. In March, he earned twice as much as in February.
(a) How much did Mr Tan earn in February?
(b) How much did Mr Tan earn in March?
(c) What was his total earnings over the three months?
Answer (a): ________________________
Answer (b): ________________________
Answer (c): ________________________
17. A stadium can seat 25,000 people. During a football match, 18,450 seats were occupied. During a concert the next day, the stadium was completely full.
(a) How many seats were empty during the football match?
(b) How many more people attended the concert than the football match?
Answer (a): ________________________
Answer (b): ________________________
18. The population of Singapore in 2020 was approximately 5,685,807. In 2023, the population increased by about 382,000. What was the approximate population of Singapore in 2023? Round your answer to the nearest hundred thousand.
Answer: ________________________
19. A factory machine produces 240 bottles in one hour. The machine runs for 8 hours a day, 6 days a week.
(a) How many bottles does the machine produce in one day?
(b) How many bottles does the machine produce in one week?
(c) The factory needs to fulfil an order of 15,000 bottles. Can the machine complete the order in one week? Explain your answer.
Answer (a): ________________________
Answer (b): ________________________
Answer (c): ________________________
20. Three friends, Ali, Bala and Chris, shared a sum of money. Ali received 2/5 of the total amount. Bala received 1/3 of the remaining money. Chris received $240.
(a) What fraction of the total amount did Bala receive?
(b) What fraction of the total amount did Chris receive?
(c) What was the total sum of money shared?
Answer (a): ________________________
Answer (b): ________________________
Answer (c): ________________________
— END OF PAPER —
Answers
TuitionGoWhere Practice Paper — Mathematics Primary 6 PSLE
Answer Key — SA2 Practice Paper, Version 5 of 5
Section A: Short Answer Questions (2 marks each)
1. Write in numerals: Five million, three hundred and twelve thousand, six hundred and forty-eight.
Working:
- Five million = 5,000,000
- Three hundred and twelve thousand = 312,000
- Six hundred and forty-eight = 648
- Total = 5,000,000 + 312,000 + 648 = 5,312,648
Answer: 5,312,648 ✓
2. Round 7,845,321 to the nearest hundred thousand.
Working:
- The hundred thousand digit is 8 (in 7,845,321 → the 8 is in the hundred thousands place: 7,800,000).
- The digit to the right (ten thousands place) is 4.
- Since 4 < 5, we round down.
- 7,845,321 → 7,800,000
Answer: 7,800,000 ✓
3. Find the value of 4 × 250 × 50.
Working:
- Rearrange: 4 × 250 = 1,000
- 1,000 × 50 = 50,000
Answer: 50,000 ✓
4. List all the factors of 72.
Working:
- 1 × 72 = 72
- 2 × 36 = 72
- 3 × 24 = 72
- 4 × 18 = 72
- 6 × 12 = 72
- 8 × 9 = 72
Answer: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 ✓
Marking note: Award full marks if all 12 factors are listed. Deduct 1 mark if 1–2 factors are missing. Deduct 2 marks if more than 2 are missing or if non-factors are included.
5. Find the LCM of 18 and 24.
Working:
- Prime factorisation:
- 18 = 2 × 3²
- 24 = 2³ × 3
- LCM = 2³ × 3² = 8 × 9 = 72
Answer: 72 ✓
6. A factory produced 3,672 toys in January and 4,589 toys in February. Round the total to the nearest thousand.
Working:
- Total = 3,672 + 4,589 = 8,261
- Round 8,261 to nearest thousand: the hundreds digit is 2 (< 5), so round down.
- 8,000
Answer: 8,000 ✓
Marking note: Award 1 mark for correct addition and 1 mark for correct rounding.
7. Find the value of 12,000 ÷ (15 × 8).
Working:
- 15 × 8 = 120
- 12,000 ÷ 120 = 100
Answer: 100 ✓
8. 3,450,000 = 3 million + _________ thousands.
Working:
- 3 million = 3,000,000
- Remaining = 3,450,000 − 3,000,000 = 450,000
- 450,000 = 450 thousands
Answer: 450 ✓
9. Arrange in order, starting with the smallest: 8,045,200 | 8,405,200 | 8,042,500 | 8,450,020
Working:
- Compare digit by digit from the left:
- 8,042,500 (smallest — ten thousands digit is 4, thousands digit is 2)
- 8,045,200 (ten thousands digit is 4, thousands digit is 5)
- 8,405,200 (hundred thousands digit is 4)
- 8,450,020 (hundred thousands digit is 4, ten thousands digit is 5 — largest)
Answer: 8,042,500; 8,045,200; 8,405,200; 8,450,020 ✓
10. Which town has the greatest population?
Working:
- A: 2,345,678
- B: 2,435,678 ← hundred thousands digit is 4 (highest)
- C: 2,345,867
- D: 2,354,678
Comparing: B has 4 in the hundred thousands place, while A, C, D have 3.
Answer: Town B ✓
Section B: Structured Short Answer Questions (4 marks each)
11. A school library had 12,500 books. The school bought 3,750 new books in March and donated 2,180 old books in April.
(a) Books at end of April:
Working:
- After buying: 12,500 + 3,750 = 16,250
- After donating: 16,250 − 2,180 = 14,070
Answer (a): 14,070 books ✓
(b) Books per shelf (15 shelves):
Working:
- 14,070 ÷ 15 = 938
Answer (b): 938 books ✓
Marking note: Award 2 marks for (a) and 2 marks for (b). In (b), accept correct division even if (a) was wrong (error carried forward).
12. HCF = 12, LCM = 360, one number = 60. Find the other number.
Working:
- Formula: HCF × LCM = Product of the two numbers
- 12 × 360 = 60 × (other number)
- 4,320 = 60 × (other number)
- Other number = 4,320 ÷ 60 = 72
Answer: 72 ✓
Marking note: Award 2 marks for correct formula application and 2 marks for correct answer. Accept alternative methods (e.g., prime factorisation).
13. A fruit seller had 960 oranges. He packed them into bags of 12. Each bag sold for $5.
(a) Number of bags:
Working:
- 960 ÷ 12 = 80 bags
Answer (a): 80 bags ✓
(b) Total money collected:
Working:
- 80 × 400**
Answer (b): $400 ✓
Marking note: Award 2 marks for (a) and 2 marks for (b). Error carried forward accepted in (b).
14. Find 48 × 25 by rewriting 48 as (50 − 2).
Working:
- 48 × 25 = (50 − 2) × 25
- = 50 × 25 − 2 × 25
- = 1,250 − 50
- = 1,200
Answer: 1,200 ✓
Marking note: Award 2 marks for correct expansion and 2 marks for correct final answer.
15. The number 5_3,826 is divisible by 9. Find the missing digit.
Working:
- Divisibility rule for 9: sum of all digits must be divisible by 9.
- Known digits: 5 + 3 + 8 + 2 + 6 = 24
- Let the missing digit be x.
- 24 + x must be divisible by 9.
- The next multiple of 9 after 24 is 27.
- x = 27 − 24 = 3
Answer: 3 ✓
Marking note: Award 2 marks for correct application of divisibility rule and 2 marks for correct answer.
Section C: Word Problem Questions (4 marks each)
16. Mr Tan earned 1,250 more than in January. In March, he earned twice as much as in February.
(a) February earnings:
Working:
- February = 1,250 = $6,100
Answer (a): $6,100 ✓
(b) March earnings:
Working:
- March = 2 × 12,200**
Answer (b): $12,200 ✓
(c) Total earnings over three months:
Working:
- Total = 6,100 + 23,150**
Answer (c): $23,150 ✓
Marking note: Award 1 mark for (a), 1 mark for (b), and 2 marks for (c). Error carried forward accepted throughout.
17. A stadium seats 25,000 people. Football match: 18,450 occupied. Concert: full house.
(a) Empty seats during football match:
Working:
- 25,000 − 18,450 = 6,550
Answer (a): 6,550 seats ✓
(b) How many more people at the concert than the football match:
Working:
- Concert attendance = 25,000
- Difference = 25,000 − 18,450 = 6,550
Answer (b): 6,550 more people ✓
Marking note: Award 2 marks for (a) and 2 marks for (b). Error carried forward accepted in (b).
18. Singapore population in 2020: 5,685,807. Increase in 2023: about 382,000. Round to nearest hundred thousand.
Working:
- 5,685,807 + 382,000 = 6,067,807
- Round to nearest hundred thousand: ten thousands digit is 6 (≥ 5), so round up.
- 6,067,807 → 6,100,000
Answer: 6,100,000 ✓
Marking note: Award 2 marks for correct addition and 2 marks for correct rounding.
19. A machine produces 240 bottles/hour. Runs 8 hours/day, 6 days/week.
(a) Bottles per day:
Working:
- 240 × 8 = 1,920 bottles
Answer (a): 1,920 bottles ✓
(b) Bottles per week:
Working:
- 1,920 × 6 = 11,520 bottles
Answer (b): 11,520 bottles ✓
(c) Can the machine complete an order of 15,000 bottles in one week?
Working:
- Weekly production = 11,520 bottles
- 11,520 < 15,000
- No, the machine cannot complete the order in one week because it only produces 11,520 bottles, which is 3,480 bottles short.
Answer (c): No, because 11,520 < 15,000 (short by 3,480 bottles). ✓
Marking note: Award 1 mark for (a), 1 mark for (b), and 2 marks for (c) — 1 for correct conclusion (Yes/No) and 1 for valid explanation with supporting figures.
20. Ali, Bala and Chris shared a sum of money. Ali received 2/5 of the total. Bala received 1/3 of the remaining money. Chris received $240.
(a) Fraction of total that Bala received:
Working:
- Ali received 2/5, so remaining = 1 − 2/5 = 3/5
- Bala received 1/3 of 3/5 = 1/3 × 3/5 = 1/5
Answer (a): 1/5 ✓
(b) Fraction of total that Chris received:
Working:
- Ali: 2/5, Bala: 1/5
- Total received by Ali and Bala = 2/5 + 1/5 = 3/5
- Chris received = 1 − 3/5 = 2/5
Answer (b): 2/5 ✓
(c) Total sum of money:
Working:
- Chris received 2/5 of total = $240
- 2/5 × Total = $240
- Total = 240 × 5/2 = $600
Answer (c): $600 ✓
Marking note: Award 1 mark for (a), 1 mark for (b), and 2 marks for (c). Error carried forward accepted in (b) and (c) if earlier parts are wrong but method is correct.
Mark Summary
| Section | Questions | Marks per Question | Section Total |
|---|---|---|---|
| A | 1–10 | 2 | 20 |
| B | 11–15 | 4 | 20 |
| C | 16–20 | 4 | 20 |
| Total | 20 | — | 60 |
End of Answer Key