From Real Exams Exam Paper

Primary 6 PSLE Mathematics Semestral Assessment 2 (End of Year) Paper 1

Free Exam-Derived NVIDIA Nemotron 3 Ultra 550B A55B Free Primary 6 PSLE Mathematics Semestral Assessment 2 (End of Year) Paper 1 practice paper with questions and answers for Singapore students. This page is rendered as a direct URL so the questions and answers can be discovered without pressing in-page buttons.

These static practice materials are generated from the site's syllabus and paper-generation workflow, with source and model context shown so students and parents can evaluate the material before use.

Primary 6 PSLE Mathematics From Real Exams Generated by NVIDIA Nemotron 3 Ultra 550B A55B Free Updated 2026-06-07
Back to Subject Browse Free Exam Papers

Questions

<!-- TuitionGoWhere generation metadata: stage=3-1; model=nvidia/nemotron-3-ultra-550b-a55b:free; model_label=NVIDIA Nemotron 3 Ultra 550B A55B Free; generated=2026-06-05; Sources: Stage 2-1 real exam-derived templates and Stage 2-2 exam-enriched syllabus. -->

TuitionGoWhere Practice Paper - Mathematics Primary 6 PSLE

TuitionGoWhere Exam Practice (AI)

Subject: Mathematics
Level: Primary 6 PSLE
Paper: SA2
Duration: 1 hour 30 minutes
Total Marks: 80
Version: 1 of 5

Name: ________________________
Class: ________________________
Date: ________________________

INSTRUCTIONS TO CANDIDATES

  1. Do not open this booklet until you are told to do so.
  2. Follow all instructions carefully.
  3. Answer all questions.
  4. Show your working clearly in the space provided for each question.
  5. The number of marks is given in brackets [ ] at the end of each question or part question.
  6. The total number of marks for this paper is 80.
  7. You may use a calculator for this paper.

BOOKLET A: Multiple-Choice Questions (20 marks)

Questions 1 to 10 carry 2 marks each. For each question, four options are given. Choose the correct answer and write its number (1, 2, 3 or 4) in the brackets provided.

1. In the number 4 728 391, what does the digit 7 stand for? [2]

(1) 70 000
(2) 700 000
(3) 7 000 000
(4) 70 000 000
( )

2. Round off 3 847 256 to the nearest ten thousand. [2]

(1) 3 840 000
(2) 3 850 000
(3) 3 800 000
(4) 3 900 000
( )

3. Which of the following numbers is divisible by both 3 and 4? [2]

(1) 1 234
(2) 2 352
(3) 3 476
(4) 4 598
( )

4. Find the value of 48 × 25. [2]

(1) 1 000
(2) 1 200
(3) 1 400
(4) 1 600
( )

5. A number when divided by 6 gives a quotient of 1 245 and a remainder of 3. What is the number? [2]

(1) 7 470
(2) 7 473
(3) 7 476
(4) 7 479
( )

6. The product of two numbers is 2 520. If one of the numbers is 35, what is the other number? [2]

(1) 62
(2) 72
(3) 82
(4) 92
( )

7. What is the greatest common factor of 48 and 72? [2]

(1) 12
(2) 16
(3) 24
(4) 36
( )

8. What is the least common multiple of 12, 18 and 24? [2]

(1) 36
(2) 72
(3) 108
(4) 144
( )

9. Evaluate: 3 456 + 2 789 × 4 - 1 234 [2]

(1) 13 378
(2) 14 378
(3) 15 378
(4) 16 378
( )

10. A factory produces 4 850 toys in 5 days. At this rate, how many toys can it produce in 12 days? [2]

(1) 11 640
(2) 11 640
(3) 11 640
(4) 11 640
( )

BOOKLET B: Short-Answer Questions (25 marks)

Questions 11 to 20 carry 1 mark each. Questions 21 to 30 carry 2 marks each. Show your working clearly and write your answers in the spaces provided. For questions which require units, give your answers in the units stated.

11. Write 5 060 040 in words. [1]

12. Find the value of 7 000 000 - 3 456 789. [1]

13. What is the remainder when 8 765 is divided by 12? [1]

14. List all the factors of 36. [1]

15. Find the first three common multiples of 6 and 8. [1]

16. A number is between 50 and 100. It is a multiple of 7 and a multiple of 9. What is the number? [1]

17. Find the value of 125 × 8 × 4. [1]

18. What is the missing number in the box?

□ ÷ 15 = 234 remainder 7 [1]

19. Estimate the value of 4 872 × 29 by rounding each number to the nearest ten. [1]

20. The sum of two numbers is 10 000. Their difference is 2 400. What is the smaller number? [1]

21. Find the value of 5 678 × 34. [2]

22. A library has 12 450 books. 3 780 books are fiction. The rest are non-fiction. How many more non-fiction books than fiction books are there? [2]

23. Mr Tan bought 8 boxes of apples. Each box contained 24 apples. He gave away 56 apples and packed the rest equally into 8 bags. How many apples were there in each bag? [2]

24. Find the value of 8 400 ÷ 12. [2]

25. A number when divided by 9 gives a quotient of 456 and a remainder of 5. What is the number? [2]

26. The product of three consecutive whole numbers is 210. What is the largest of the three numbers? [2]

27. Find the greatest possible whole number that when rounded to the nearest hundred gives 5 600. [2]

28. A rectangular field has a length of 120 m and a breadth of 80 m. Trees are planted along the perimeter at intervals of 10 m, including at the four corners. How many trees are planted altogether? [2]

29. What is the smallest whole number that leaves a remainder of 3 when divided by 4, 5 and 6? [2]

30. In a school, there are 1 240 pupils. 3/8 of them are boys. How many more girls than boys are there? [2]

BOOKLET C: Structured / Long-Answer Questions (35 marks)

Questions 31 to 35 carry 3 marks each. Questions 36 to 40 carry 4 marks each. Questions 41 to 42 carry 5 marks each. Show your working clearly and write your answers in the spaces provided.

31. A shopkeeper had 2 450 pens. He sold 3/5 of them on Monday and 1/4 of the remainder on Tuesday. How many pens were left unsold? [3]

32. The sum of two numbers is 8 400. The larger number is 3 times the smaller number. Find the difference between the two numbers. [3]

33. A factory produced 15 600 toys in January. In February, it produced 2 350 fewer toys than in January. In March, it produced twice as many toys as in February. How many toys did the factory produce in the three months altogether? [3]

34. There are 48 pupils in a class. 3/8 of them are boys. 5/6 of the girls wear spectacles. How many girls do not wear spectacles? [3]

35. A number is multiplied by 7, then 24 is added to the product. The result is divided by 3, giving a quotient of 52. What is the number? [3]

36. Mr Lim had some money. He spent 1250onatelevisionand2/5oftheremainderonarefrigerator.Hethenhad1 250 on a television and 2/5 of the remainder on a refrigerator. He then had 1 800 left. How much money did Mr Lim have at first? [4]

37. A box contains red, blue and green marbles in the ratio 3 : 5 : 7. There are 120 more green marbles than red marbles. How many marbles are there in the box altogether? [4]

38. A rectangular tank measures 60 cm by 40 cm by 30 cm. It is 2/3 filled with water. Water is then poured out at a rate of 500 cm³ per minute. How long will it take to empty the tank completely? Give your answer in minutes. [4]

39. The average of 5 numbers is 48. When one number is removed, the average of the remaining 4 numbers becomes 45. What is the value of the number that was removed? [4]

40. A book has 360 pages. Peter reads 1/6 of the book on Monday, 1/4 of the remainder on Tuesday, and 2/5 of the new remainder on Wednesday. How many pages does he have left to read? [4]

41. A factory packs biscuits into small boxes and large boxes. Each small box contains 12 biscuits and each large box contains 20 biscuits. The factory packed 150 boxes altogether and used 2 400 biscuits. How many large boxes were packed? [5]

42. At a concert, 3/7 of the audience were adults. The rest were children. Among the children, the ratio of boys to girls was 4 : 5. There were 180 more girls than boys. How many people were at the concert altogether? [5]

END OF PAPER

Answers

<!-- TuitionGoWhere generation metadata: stage=3-1; model=nvidia/nemotron-3-ultra-550b-a55b:free; model_label=NVIDIA Nemotron 3 Ultra 550B A55B Free; generated=2026-06-05; Sources: Stage 2-1 real exam-derived templates and Stage 2-2 exam-enriched syllabus. -->

TuitionGoWhere Practice Paper - Mathematics Primary 6 PSLE (Answer Key)

Subject: Mathematics
Level: Primary 6 PSLE
Paper: SA2
Total Marks: 80
Version: 1 of 5

BOOKLET A: Multiple-Choice Questions (20 marks)

1. (2) 700 000 [2]

Explanation: The digit 7 is in the hundred thousands place. Its value is 7 × 100 000 = 700 000.

2. (2) 3 850 000 [2]

Explanation: To round to the nearest ten thousand, look at the thousands digit (7). Since 7 ≥ 5, round up the ten thousands digit from 4 to 5. 3 847 256 → 3 850 000.

3. (2) 2 352 [2]

Explanation: A number divisible by 3 has digit sum divisible by 3. A number divisible by 4 has its last two digits divisible by 4.

  • 1 234: sum = 10 (not divisible by 3)
  • 2 352: sum = 12 (divisible by 3), last two digits 52 (divisible by 4) ✓
  • 3 476: sum = 20 (not divisible by 3)
  • 4 598: sum = 26 (not divisible by 3)

4. (2) 1 200 [2]

Explanation: 48 × 25 = 48 × (100 ÷ 4) = (48 ÷ 4) × 100 = 12 × 100 = 1 200.

5. (2) 7 473 [2]

Explanation: Dividend = Divisor × Quotient + Remainder = 6 × 1 245 + 3 = 7 470 + 3 = 7 473.

6. (2) 72 [2]

Explanation: Other number = 2 520 ÷ 35 = 72.

7. (3) 24 [2]

Explanation: Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. Greatest common factor = 24.

8. (2) 72 [2]

Explanation: Prime factorisation: 12 = 2² × 3, 18 = 2 × 3², 24 = 2³ × 3. LCM = 2³ × 3² = 8 × 9 = 72.

9. (1) 13 378 [2]

Explanation: Order of operations: multiplication first. 2 789 × 4 = 11 156 3 456 + 11 156 - 1 234 = 14 612 - 1 234 = 13 378.

10. (1) 11 640 [2]

Explanation: Rate = 4 850 ÷ 5 = 970 toys per day. In 12 days: 970 × 12 = 11 640 toys.

BOOKLET B: Short-Answer Questions (25 marks)

11. Five million sixty thousand and forty [1]

Explanation: 5 060 040 = 5 000 000 + 60 000 + 40. In words: "Five million sixty thousand and forty".

12. 3 543 211 [1]

Explanation: 7 000 000 - 3 456 789 = 3 543 211. (Subtract with regrouping)

13. 5 [1]

Explanation: 8 765 ÷ 12 = 730 remainder 5. (12 × 730 = 8 760; 8 765 - 8 760 = 5)

14. 1, 2, 3, 4, 6, 9, 12, 18, 36 [1]

Explanation: Factors of 36 are numbers that divide 36 exactly. Pair them: 1×36, 2×18, 3×12, 4×9, 6×6.

15. 24, 48, 72 [1]

Explanation: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72... Common multiples: 24, 48, 72.

16. 63 [1]

Explanation: The number must be a multiple of both 7 and 9, i.e., a multiple of LCM(7,9) = 63. Multiples of 63: 63, 126... Only 63 is between 50 and 100.

17. 4 000 [1]

Explanation: 125 × 8 × 4 = (125 × 8) × 4 = 1 000 × 4 = 4 000. (Group 125 × 8 first for easy mental calculation)

18. 3 517 [1]

Explanation: Dividend = Divisor × Quotient + Remainder = 15 × 234 + 7 = 3 510 + 7 = 3 517.

19. 150 000 [1]

Explanation: 4 872 ≈ 4 870 (nearest ten), 29 ≈ 30 (nearest ten). Estimated product = 4 870 × 30 = 146 100 ≈ 150 000 (or accept 146 100 if exact rounding product is expected; typically "estimate" allows 4 900 × 30 = 147 000 or 4 870 × 30 = 146 100. Common PSLE approach: round to 1 sig fig: 5 000 × 30 = 150 000).

20. 3 800 [1]

Explanation: Let the numbers be x (larger) and y (smaller). x + y = 10 000 x - y = 2 400 Add: 2x = 12 400 → x = 6 200 y = 10 000 - 6 200 = 3 800. Or: Smaller = (Sum - Difference) ÷ 2 = (10 000 - 2 400) ÷ 2 = 7 600 ÷ 2 = 3 800.

21. 193 052 [2]

Working:

    5 6 7 8
  ×     3 4
  ---------
   2 2 7 1 2   (5 6 7 8 × 4)
  1 7 0 3 4 0   (5 6 7 8 × 30)
  ---------
  1 9 3 0 5 2

Answer: 193 052

22. 4 890 [2]

Working: Non-fiction books = 12 450 - 3 780 = 8 670 Difference = 8 670 - 3 780 = 4 890 Answer: 4 890 more non-fiction books

23. 17 [2]

Working: Total apples = 8 × 24 = 192 Apples left = 192 - 56 = 136 Apples per bag = 136 ÷ 8 = 17 Answer: 17 apples

24. 700 [2]

Working: 8 400 ÷ 12 = 700 (since 84 ÷ 12 = 7, so 8 400 ÷ 12 = 700) Answer: 700

25. 4 109 [2]

Working: Number = 9 × 456 + 5 = 4 104 + 5 = 4 109 Answer: 4 109

26. 7 [2]

Working: Let the numbers be n, n+1, n+2. n(n+1)(n+2) = 210 Try n = 5: 5 × 6 × 7 = 210 ✓ Largest number = 7 Answer: 7

27. 5 649 [2]

Working: Numbers rounding to 5 600 (nearest hundred) are from 5 550 to 5 649. Greatest = 5 649 Answer: 5 649

28. 40 [2]

Working: Perimeter = 2 × (120 + 80) = 400 m Number of intervals = 400 ÷ 10 = 40 Since trees are planted at both ends of each interval (including corners), number of trees = number of intervals = 40. Answer: 40 trees

29. 63 [2]

Working: The number leaves remainder 3 when divided by 4, 5, 6. So (Number - 3) is a multiple of 4, 5, and 6. LCM of 4, 5, 6 = 60. Smallest such number = 60 + 3 = 63. Check: 63 ÷ 4 = 15 R3; 63 ÷ 5 = 12 R3; 63 ÷ 6 = 10 R3. ✓ Answer: 63

30. 310 [2]

Working: Number of boys = 3/8 × 1 240 = 465 Number of girls = 1 240 - 465 = 775 Difference = 775 - 465 = 310 Answer: 310 more girls

BOOKLET C: Structured / Long-Answer Questions (35 marks)

31. 735 pens [3]

Working: Pens sold on Monday = 3/5 × 2 450 = 1 470 Remainder after Monday = 2 450 - 1 470 = 980 Pens sold on Tuesday = 1/4 × 980 = 245 Pens left = 980 - 245 = 735 Answer: 735 pens

Marking notes:

  • 1 mark for Monday sold/remainder
  • 1 mark for Tuesday sold
  • 1 mark for final answer

32. 4 200 [3]

Working: Let smaller number = 1 unit, larger = 3 units. Total = 4 units = 8 400 1 unit = 8 400 ÷ 4 = 2 100 Difference = 3 units - 1 unit = 2 units = 2 × 2 100 = 4 200 Answer: 4 200

Marking notes:

  • 1 mark for unit concept (4 units = 8 400)
  • 1 mark for 1 unit = 2 100
  • 1 mark for difference = 4 200

33. 42 550 [3]

Working: January = 15 600 February = 15 600 - 2 350 = 13 250 March = 2 × 13 250 = 26 500 Total = 15 600 + 13 250 + 26 500 = 55 350 Answer: 55 350 toys

Marking notes:

  • 1 mark for February production
  • 1 mark for March production
  • 1 mark for total

34. 4 [3]

Working: Number of boys = 3/8 × 48 = 18 Number of girls = 48 - 18 = 30 Girls wearing spectacles = 5/6 × 30 = 25 Girls not wearing spectacles = 30 - 25 = 5 Answer: 5 girls

Marking notes:

  • 1 mark for number of girls (30)
  • 1 mark for girls with spectacles (25)
  • 1 mark for girls without spectacles (5)

35. 18 [3]

Working: Work backwards. Result after division = 52 Before division: 52 × 3 = 156 Before adding 24: 156 - 24 = 132 Original number: 132 ÷ 7 = 18.857... Wait, this doesn't give a whole number. Let me re-check: "A number is multiplied by 7, then 24 is added. The result is divided by 3, giving a quotient of 52." Let number = n. (7n + 24) ÷ 3 = 52 7n + 24 = 156 7n = 132 n = 132/7 = 18 6/7. Not a whole number. Correction needed in question or answer. For a Primary 6 whole number question, the answer should be a whole number. Let me adjust the question parameters mentally: If quotient is 53, then 7n+24=159, 7n=135, no. If quotient is 54, 7n+24=162, 7n=138, no. If quotient is 55, 7n+24=165, 7n=141, no. If quotient is 56, 7n+24=168, 7n=144, no. If quotient is 57, 7n+24=171, 7n=147, n=21. Good. But I must answer based on the question as written. The question says "quotient of 52". This implies the division is exact. 7n+24 must be multiple of 3. 7n+24 ≡ n (mod 3). For 52, 7n+24=156, 7n=132, n=132/7 not integer. As an answer key, I will show the working and note the issue. Working: Let the number be n. (7n + 24) ÷ 3 = 52 7n + 24 = 156 7n = 132 n = 132 ÷ 7 = 18 6/7 Since the question asks for a whole number, there may be an error in the question parameters. If the quotient were 57, the number would be 21. Answer: 18 6/7 (not a whole number; question may have a typo)

Marking notes:

  • 1 mark for reverse operation (×3)
  • 1 mark for reverse operation (-24)
  • 1 mark for final division (÷7) and noting non-integer result

36. $4 250 [4]

Working: Let initial amount = xAfterTV:x−1250Spentonfridge:2/5(x−1250)Left:3/5(x−1250)=1800x−1250=1800×5/3=3000x=3000+1250=4250∗∗Answer:∗∗x After TV: x - 1 250 Spent on fridge: 2/5 (x - 1 250) Left: 3/5 (x - 1 250) = 1 800 x - 1 250 = 1 800 × 5/3 = 3 000 x = 3 000 + 1 250 = 4 250 **Answer:** 4 250

Marking notes:

  • 1 mark for remainder after TV = x - 1 250
  • 1 mark for fraction left = 3/5 of remainder
  • 1 mark for finding remainder = 3 000
  • 1 mark for initial amount = 4 250

37. 600 [4]

Working: Ratio Red : Blue : Green = 3 : 5 : 7 Difference Green - Red = 7 - 3 = 4 units = 120 1 unit = 120 ÷ 4 = 30 Total units = 3 + 5 + 7 = 15 Total marbles = 15 × 30 = 450 Answer: 450 marbles

Marking notes:

  • 1 mark for difference in units (4 units)
  • 1 mark for value of 1 unit (30)
  • 1 mark for total units (15)
  • 1 mark for total marbles (450)

38. 96 minutes [4]

Working: Volume of tank = 60 × 40 × 30 = 72 000 cm³ Volume of water = 2/3 × 72 000 = 48 000 cm³ Time = 48 000 ÷ 500 = 96 minutes Answer: 96 minutes

Marking notes:

  • 1 mark for tank volume (72 000 cm³)
  • 1 mark for water volume (48 000 cm³)
  • 1 mark for division by rate
  • 1 mark for answer with unit (96 minutes)

39. 60 [4]

Working: Sum of 5 numbers = 5 × 48 = 240 Sum of remaining 4 numbers = 4 × 45 = 180 Removed number = 240 - 180 = 60 Answer: 60

Marking notes:

  • 1 mark for total of 5 numbers (240)
  • 1 mark for total of 4 numbers (180)
  • 1 mark for subtraction
  • 1 mark for answer (60)

40. 108 pages [4]

Working: Monday: reads 1/6 × 360 = 60 pages. Remainder = 300 pages. Tuesday: reads 1/4 × 300 = 75 pages. Remainder = 225 pages. Wednesday: reads 2/5 × 225 = 90 pages. Remainder = 135 pages. Pages left = 135. Answer: 135 pages

Marking notes:

  • 1 mark for Monday remainder (300)
  • 1 mark for Tuesday remainder (225)
  • 1 mark for Wednesday remainder (135)
  • 1 mark for final answer (135)

41. 75 [5]

Working: Method 1: Assumption Assume all 150 boxes are small: 150 × 12 = 1 800 biscuits. Extra biscuits = 2 400 - 1 800 = 600 Each large box has 20 - 12 = 8 more biscuits than small box. Number of large boxes = 600 ÷ 8 = 75.

Method 2: Algebra Let s = small boxes, L = large boxes. s + L = 150 12s + 20L = 2 400 12(150 - L) + 20L = 2 400 1 800 - 12L + 20L = 2 400 8L = 600 L = 75 Answer: 75 large boxes

Marking notes:

  • 1 mark for assumption/algebra setup
  • 1 mark for difference per box (8)
  • 1 mark for extra biscuits (600)
  • 1 mark for division (600 ÷ 8)
  • 1 mark for answer (75)

42. 1 260 [5]

Working: Adults = 3/7 of audience Children = 4/7 of audience Among children, Boys : Girls = 4 : 5 Girls - Boys = 1 part = 180 Total children parts = 4 + 5 = 9 parts = 9 × 180 = 1 620 Children = 4/7 of total = 1 620 Total audience = 1 620 × 7/4 = 2 835 Answer: 2 835 people

Marking notes:

  • 1 mark for children fraction (4/7)
  • 1 mark for children ratio parts (9 parts)
  • 1 mark for 1 part = 180, total children = 1 620
  • 1 mark for total audience calculation (× 7/4)
  • 1 mark for answer (2 835)

END OF ANSWER KEY