Primary 5 Mathematics Semestral Assessment 2 (End of Year) Paper 1

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TuitionGoWhere Practice Paper - Mathematics Primary 5

TuitionGoWhere Exam Practice (AI)

Subject: Mathematics
Level: Primary 5
Paper: SA2 (Version 1)
Duration: 1 hour 30 minutes
Total Marks: 80

Name: ________________________
Class: Primary 5 _______
Date: _______________

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INSTRUCTIONS TO CANDIDATES

1. Do not turn over this page until you are told to do so.
2. Follow all instructions carefully.
3. Answer all questions.
4. Write your answers in this booklet.
5. The use of an approved calculator is expected, where appropriate.
6. Show your working clearly in the space provided.
7. The number of marks is given in brackets [ ] at the end of each question or part question.
8. The total number of marks for this paper is 80.

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BOOKLET A: Multiple-Choice Questions (20 marks)

Questions 1 to 10 carry 2 marks each. For each question, four options are given. One of them is the correct answer. Make your choice (1, 2, 3 or 4) and write the number in the brackets provided.

1. In the number 4 827 593, the digit 8 is in the __________ place.

(1) ten thousands
(2) hundred thousands
(3) millions
(4) thousands
[2]

2. Round off 6 472 819 to the nearest ten thousand.

(1) 6 470 000
(2) 6 480 000
(3) 6 472 000
(4) 6 500 000
[2]

3. Which of the following has the same value as 3 000 000 + 400 000 + 50 000 + 6 000 + 700 + 80 + 9?

(1) 3 456 789
(2) 3 456 798
(3) 3 465 789
(4) 3 546 789
[2]

4. Find the value of 72 × (45 + 15) ÷ 9.

(1) 480
(2) 540
(3) 432
(4) 360
[2]

5. A factory produced 8 450 toys in January. It produced 3 280 more toys in February than in January. How many toys did the factory produce in the two months?

(1) 11 730
(2) 15 180
(3) 20 180
(4) 21 730
[2]

6. What is the product of 4 328 and 27?

(1) 116 856
(2) 116 586
(3) 118 656
(4) 118 566
[2]

7. When a number is divided by 25, the quotient is 348 and the remainder is 17. What is the number?

(1) 8 717
(2) 8 700
(3) 8 717
(4) 8 732
[2]

8. The sum of two numbers is 12 500. The larger number is 3 200 more than the smaller number. What is the smaller number?

(1) 4 650
(2) 7 850
(3) 9 300
(4) 4 650
[2]

9. A container can hold 4 500 ml of water. How many such containers are needed to hold 54 litres of water?

(1) 10
(2) 11
(3) 12
(4) 13
[2]

10. Study the number pattern below.

1, 4, 9, 16, 25, ______, 49 What is the missing number? (1) 30
(2) 36
(3) 40
(4) 42
[2]

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BOOKLET B: Short-Answer Questions (25 marks)

Questions 11 to 20 carry 1 mark each. Questions 21 to 30 carry 2 marks each. Write your answers in the spaces provided. Give your answers in the units stated.

11. Write 5 080 304 in words.

_________________________________________________________________________ [1]

12. What is the value of the digit 7 in 2 745 681?

_________________________________________________________________________ [1]

13. Round off 3 999 999 to the nearest thousand.

_________________________________________________________________________ [1]

14. Find the value of 8 000 × 60.

_________________________________________________________________________ [1]

15. Find the value of 54 000 ÷ 90.

_________________________________________________________________________ [1]

16. Find the value of 45 + 12 × 3 - 18 ÷ 2.

_________________________________________________________________________ [1]

17. Find the value of (36 + 24) ÷ (15 - 9).

_________________________________________________________________________ [1]

18. A number when multiplied by 8 gives 4 800. What is the number?

_________________________________________________________________________ [1]

19. What is the remainder when 7 853 is divided by 12?

_________________________________________________________________________ [1]

20. Complete the number pattern.

50 000, 45 000, 40 000, ________, 30 000 _________________________________________________________________________ [1]

21. Find the value of 3 456 × 38.

_________________________________________________________________________ [2]

22. Find the value of 8 736 ÷ 16.

_________________________________________________________________________ [2]

23. A shop sold 2 345 pens on Monday. It sold 1 876 more pens on Tuesday than on Monday. How many pens did the shop sell on both days?

_________________________________________________________________________ [2]

24. Mr Tan had $15 000. He bought a television set for$3 450 and a refrigerator for $2 890. How much money had he left?

_________________________________________________________________________ [2]

25. There are 24 rows of chairs in a hall. Each row has 38 chairs. If 125 chairs are broken, how many chairs are not broken?

_________________________________________________________________________ [2]

26. The product of two numbers is 12 480. One of the numbers is 65. What is the other number?

_________________________________________________________________________ [2]

27. A factory packs 48 bottles of juice into each carton. How many cartons are needed to pack 12 500 bottles of juice?

_________________________________________________________________________ [2]

28. Find the value of 500 - (125 × 3) + 200 ÷ 5.

_________________________________________________________________________ [2]

29. The difference between two numbers is 4 320. The smaller number is 2 150. What is the sum of the two numbers?

_________________________________________________________________________ [2]

30. A number is between 5 000 and 6 000. When it is divided by 7, the remainder is 3. When it is divided by 5, the remainder is 2. What is the number?

_________________________________________________________________________ [2]

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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 library has 4 528 English books. It has 1 374 more Chinese books than English books. It has 2 156 fewer Malay books than Chinese books. How many books are there in the library altogether?

_________________________________________________________________________ [3]

32. Mrs Lim bought 15 boxes of apples. There were 24 apples in each box. She threw away 35 rotten apples and packed the rest into bags of 5. How many bags of apples did she get?

_________________________________________________________________________ [3]

33. A stadium has 8 500 seats. On Saturday, 5 842 seats were occupied. On Sunday, 1 235 more seats were occupied than on Saturday. How many seats were not occupied on Sunday?

_________________________________________________________________________ [3]

34. The sum of three numbers is 18 500. The first number is 4 200. The second number is 1 800 more than the first number. What is the third number?

_________________________________________________________________________ [3]

35. A machine can print 450 pages in 5 minutes. At this rate, how many pages can it print in 1 hour?

_________________________________________________________________________ [3]

36. Mr Koh had some money. He spent $\frac{2}{5}$ of it on a watch and $\frac{1}{4}$ of the remainder on a belt. He had $1 260 left. How much money did Mr Koh have at first?

_________________________________________________________________________ [4]

37. There are 3 456 pupils in a school. $\frac{5}{12}$ of them are boys. $\frac{2}{3}$ of the girls wear spectacles. How many girls do not wear spectacles?

_________________________________________________________________________ [4]

38. A rectangular tank measures 60 cm by 40 cm by 30 cm. It is filled with water to a height of 18 cm. How many more litres of water are needed to fill the tank completely? (1 litre = 1000 cm³)

_________________________________________________________________________ [4]

39. The total mass of 5 similar boxes and 3 similar bags is 28.4 kg. The total mass of 2 such boxes and 1 such bag is 10.6 kg. Find the mass of one box.

_________________________________________________________________________ [4]

40. A number when divided by 12 gives a quotient of 345 and a remainder of 7. If the same number is divided by 8, what is the quotient and remainder?

_________________________________________________________________________ [4]

41. At a concert, there were 2 400 adults. The number of children was $\frac{3}{8}$ of the number of adults. $\frac{5}{6}$ of the children were girls. Each adult ticket cost $25 and each child ticket cost$15. How much money was collected from the sale of tickets?

_________________________________________________________________________ [5]

42. A factory produced 15 000 toys in 5 days. On the first day, it produced 2 400 toys. On the second day, it produced 300 more toys than the first day. On the third day, it produced twice as many toys as the second day. The number of toys produced on the fourth and fifth days was the same. How many toys were produced on the fifth day?

_________________________________________________________________________ [5]

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END OF PAPER

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TuitionGoWhere Practice Paper - Mathematics Primary 5 (SA2 Version 1) - Answer Key

Total Marks: 80

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BOOKLET A: Multiple-Choice Questions (20 marks)

1. Answer: (2) hundred thousands

Working: The number is 4 827 593. Reading from right: 3 (ones), 9 (tens), 5 (hundreds), 7 (thousands), 2 (ten thousands), 8 (hundred thousands), 4 (millions). Mark: 2

2. Answer: (2) 6 480 000

Working: Look at the ten thousands digit (7) and the thousands digit (2). Since 2 < 5, round down. 6 472 819 → 6 470 000? Wait: 6 472 819, the ten thousands is 7, thousands is 2. Rounding to nearest ten thousand means looking at thousands digit (2). Since 2 < 5, round down to 6 470 000. But option (1) is 6 470 000. Let me recheck: 6 472 819. Ten thousands place is 7. Thousands place is 2. Round down → 6 470 000. But option (1) is 6 470 000. Hmm, the options show (1) 6 470 000, (2) 6 480 000. My working says 6 470 000. But wait, 6 472 819 rounded to nearest ten thousand: the digit in ten thousands place is 7, the next digit (thousands) is 2. Since 2 < 5, we round down, keeping 7 as 7, so 6 470 000. That's option (1). But I wrote (2). Let me correct: Answer should be (1) 6 470 000. Correction: Answer: (1) 6 470 000 Mark: 2

3. Answer: (1) 3 456 789

Working: 3 000 000 + 400 000 = 3 400 000; + 50 000 = 3 450 000; + 6 000 = 3 456 000; + 700 = 3 456 700; + 80 = 3 456 780; + 9 = 3 456 789. Mark: 2

4. Answer: (1) 480

Working: 72 × (45 + 15) ÷ 9 = 72 × 60 ÷ 9 = 4320 ÷ 9 = 480. (Order of operations: brackets first, then multiplication/division left to right) Mark: 2

5. Answer: (3) 20 180

Working: January: 8 450. February: 8 450 + 3 280 = 11 730. Total: 8 450 + 11 730 = 20 180. Mark: 2

6. Answer: (1) 116 856

Working: 4 328 × 27 = 4 328 × (20 + 7) = 86 560 + 30 296 = 116 856. Mark: 2

7. Answer: (1) 8 717

Working: Number = Divisor × Quotient + Remainder = 25 × 348 + 17 = 8 700 + 17 = 8 717. Mark: 2

8. Answer: (1) 4 650

Working: Let smaller number = x. Larger = x + 3 200. Sum = x + (x + 3 200) = 12 500. 2x = 9 300. x = 4 650. Mark: 2

9. Answer: (3) 12

Working: 54 litres = 54 000 ml. Containers needed = 54 000 ÷ 4 500 = 12. Mark: 2

10. Answer: (2) 36

Working: Pattern: 1², 2², 3², 4², 5², 6², 7². Missing is 6² = 36. Mark: 2

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BOOKLET B: Short-Answer Questions (25 marks)

11. Answer: Five million, eighty thousand, three hundred and four

Mark: 1

12. Answer: 700 000 (or seven hundred thousand)

Working: The digit 7 is in the hundred thousands place. Value = 7 × 100 000 = 700 000. Mark: 1

13. Answer: 4 000 000

Working: 3 999 999. Thousands digit is 9, ten thousands is 9, hundred thousands is 9. Rounding to nearest thousand: look at hundreds digit (9). Since 9 ≥ 5, round up. 3 999 999 → 4 000 000. Mark: 1

14. Answer: 480 000

Working: 8 000 × 60 = 8 × 1000 × 6 × 10 = 48 × 10 000 = 480 000. Mark: 1

15. Answer: 600

Working: 54 000 ÷ 90 = 5 400 ÷ 9 = 600. (Cancel one zero from both) Mark: 1

16. Answer: 72

Working: 45 + 12 × 3 - 18 ÷ 2 = 45 + 36 - 9 = 81 - 9 = 72. (Multiplication/division before addition/subtraction) Mark: 1

17. Answer: 10

Working: (36 + 24) ÷ (15 - 9) = 60 ÷ 6 = 10. (Brackets first) Mark: 1

18. Answer: 600

Working: Number × 8 = 4 800. Number = 4 800 ÷ 8 = 600. Mark: 1

19. Answer: 5

Working: 7 853 ÷ 12. 12 × 654 = 7 848. Remainder = 7 853 - 7 848 = 5. Mark: 1

20. Answer: 35 000

Working: Pattern decreases by 5 000 each time: 50 000, 45 000, 40 000, 35 000, 30 000. Mark: 1

21. Answer: 131 328

Working:

   3 456
×     38
--------
  27 648  (3 456 × 8)
 103 680  (3 456 × 30)
--------
 131 328

Mark: 2 (1 mark for correct method, 1 mark for correct answer)

22. Answer: 546

Working: 8 736 ÷ 16. Long division: 16 into 87 = 5 (80), remainder 7. Bring down 3 → 73. 16 into 73 = 4 (64), remainder 9. Bring down 6 → 96. 16 into 96 = 6. Answer: 546. Mark: 2 (1 mark for correct method, 1 mark for correct answer)

23. Answer: 6 566

Working: Monday: 2 345. Tuesday: 2 345 + 1 876 = 4 221. Total: 2 345 + 4 221 = 6 566. Mark: 2 (1 mark for Tuesday's amount, 1 mark for total)

24. Answer: $8 660

Working: Total spent = $3 450 +$2 890 = $6 340. Money left =$15 000 - $6 340 =$8 660. Mark: 2 (1 mark for total spent, 1 mark for money left)

25. Answer: 787

Working: Total chairs = 24 × 38 = 912. Not broken = 912 - 125 = 787. Mark: 2 (1 mark for total chairs, 1 mark for not broken)

26. Answer: 192

Working: Other number = 12 480 ÷ 65 = 192. (65 × 192 = 12 480) Mark: 2 (1 mark for correct division, 1 mark for correct answer)

27. Answer: 261

Working: 12 500 ÷ 48 = 260 remainder 20. Since 20 bottles remain, need 1 more carton. Total cartons = 261. Mark: 2 (1 mark for division, 1 mark for interpreting remainder)

28. Answer: 165

Working: 500 - (125 × 3) + 200 ÷ 5 = 500 - 375 + 40 = 125 + 40 = 165. Mark: 2 (1 mark for correct order of operations, 1 mark for correct answer)

29. Answer: 8 620

Working: Larger number = 2 150 + 4 320 = 6 470. Sum = 2 150 + 6 470 = 8 620. Mark: 2 (1 mark for larger number, 1 mark for sum)

30. Answer: 5 037

Working: Number = 5 000 to 6 000. Divided by 7 remainder 3 → number = 7k + 3. Divided by 5 remainder 2 → number = 5m + 2. Test multiples of 7 + 3 in range: 5 000 ÷ 7 ≈ 714. 7×714+3=5 001. 7×715+3=5 008. 7×716+3=5 015. 7×717+3=5 022. 7×718+3=5 029. 7×719+3=5 036. 7×720+3=5 043. Check which gives remainder 2 when divided by 5: 5 001 ÷ 5 = 1000 r1 ✗ 5 008 ÷ 5 = 1001 r3 ✗ 5 015 ÷ 5 = 1003 r0 ✗ 5 022 ÷ 5 = 1004 r2 ✓ But 5 022 ÷ 7 = 717 r3? 7×717=5019, 5022-5019=3. Yes! Wait, 5 022 works? Let me check: 5 022 ÷ 7 = 717 remainder 3. 5 022 ÷ 5 = 1004 remainder 2. Yes! But also 5 037: 5 037 ÷ 7 = 719 r4? No. 7×719=5033, remainder 4. Let me recalculate: 7×719 = 5033. 5033+3=5036. 5036÷5=1007 r1. 7×718=5026. 5026+3=5029. 5029÷5=1005 r4. 7×717=5019. 5019+3=5022. 5022÷5=1004 r2. ✓ So answer is 5 022. Correction: Answer: 5 022 Mark: 2 (1 mark for correct approach, 1 mark for correct answer)

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

31. Answer: 16 260 books

Working:

• English books = 4 528
• Chinese books = 4 528 + 1 374 = 5 902
• Malay books = 5 902 - 2 156 = 3 746
• Total = 4 528 + 5 902 + 3 746 = 14 176? Wait: 4528+5902=10430. 10430+3746=14176. Let me recalculate: 4 528 + 1 374 = 5 902. 5 902 - 2 156 = 3 746. Sum: 4 528 + 5 902 = 10 430. 10 430 + 3 746 = 14 176. Answer: 14 176 books Mark: 3 (1 mark for Chinese books, 1 mark for Malay books, 1 mark for total)

32. Answer: 67 bags

Working:

• Total apples = 15 × 24 = 360
• Good apples = 360 - 35 = 325
• Bags = 325 ÷ 5 = 65? Wait: 325 ÷ 5 = 65. Let me recalculate: 15 × 24 = 360. 360 - 35 = 325. 325 ÷ 5 = 65. Answer: 65 bags Mark: 3 (1 mark for total apples, 1 mark for good apples, 1 mark for bags)

33. Answer: 1 423 seats

Working:

• Saturday occupied = 5 842
• Sunday occupied = 5 842 + 1 235 = 7 077
• Sunday not occupied = 8 500 - 7 077 = 1 423 Mark: 3 (1 mark for Sunday occupied, 1 mark for Sunday not occupied, 1 mark for correct answer)

34. Answer: 8 300

Working:

• First number = 4 200
• Second number = 4 200 + 1 800 = 6 000
• Third number = 18 500 - 4 200 - 6 000 = 8 300 Mark: 3 (1 mark for second number, 1 mark for sum of first two, 1 mark for third number)

35. Answer: 5 400 pages

Working:

• Rate = 450 pages ÷ 5 min = 90 pages/min
• 1 hour = 60 minutes
• Pages in 1 hour = 90 × 60 = 5 400 Mark: 3 (1 mark for rate, 1 mark for time conversion, 1 mark for final answer)

36. Answer: $2 800

Working: Let total money = 1 unit (or use fractions).

• Spent on watch = 2/5. Remainder = 3/5.
• Spent on belt = 1/4 of remainder = 1/4 × 3/5 = 3/20.
• Total spent = 2/5 + 3/20 = 8/20 + 3/20 = 11/20.
• Left = 1 - 11/20 = 9/20.
• 9/20 of money = $1 260.
• 1/20 = $1 260 ÷ 9 =$140.
• Total = 20 × $140 =$2 800.

Alternative (Model method): [Watch: 2/5] [Belt: 3/20] [Left: 9/20 = $1260] 9 units =$1260 → 1 unit = $140 → 20 units =$2800. Mark: 4 (1 mark for remainder after watch, 1 mark for belt fraction, 1 mark for left fraction, 1 mark for final answer)

37. Answer: 456 girls

Working:

• Total pupils = 3 456
• Boys = 5/12 × 3 456 = 1 440
• Girls = 3 456 - 1 440 = 2 016
• Girls wearing spectacles = 2/3 × 2 016 = 1 344
• Girls not wearing spectacles = 2 016 - 1 344 = 672? Wait: 2016 - 1344 = 672. Or: Girls not wearing spectacles = 1/3 × 2 016 = 672. Answer: 672 girls Mark: 4 (1 mark for number of boys, 1 mark for number of girls, 1 mark for girls with spectacles, 1 mark for girls without spectacles)

38. Answer: 28.8 litres

Working:

• Tank volume = 60 × 40 × 30 = 72 000 cm³
• Water volume = 60 × 40 × 18 = 43 200 cm³
• Empty volume = 72 000 - 43 200 = 28 800 cm³
• Litres needed = 28 800 ÷ 1 000 = 28.8 litres Mark: 4 (1 mark for tank volume, 1 mark for water volume, 1 mark for empty volume, 1 mark for conversion to litres)

39. Answer: 4.6 kg

Working: Let mass of 1 box = B, 1 bag = G. 5B + 3G = 28.4 ...(1) 2B + 1G = 10.6 ...(2)

From (2): G = 10.6 - 2B Substitute into (1): 5B + 3(10.6 - 2B) = 28.4 5B + 31.8 - 6B = 28.4 -B = 28.4 - 31.8 = -3.4 B = 3.4 kg? Wait: -B = -3.4 → B = 3.4 kg.

Check: If B = 3.4, then G = 10.6 - 6.8 = 3.8. 5(3.4) + 3(3.8) = 17 + 11.4 = 28.4. ✓ Answer: 3.4 kg Mark: 4 (1 mark for setting up equations, 1 mark for substitution/elimination, 1 mark for solving, 1 mark for correct answer with unit)

40. Answer: Quotient = 518, Remainder = 3

Working:

• Number = 12 × 345 + 7 = 4 140 + 7 = 4 147
• 4 147 ÷ 8 = 518 remainder 3 (since 8 × 518 = 4 144, 4 147 - 4 144 = 3) Mark: 4 (1 mark for finding the number, 1 mark for division by 8, 1 mark for quotient, 1 mark for remainder)

41. Answer: $75 600

Working:

• Adults = 2 400
• Children = 3/8 × 2 400 = 900
• Girls = 5/6 × 900 = 750 (not needed for total money)
• Boys = 900 - 750 = 150 (not needed)
• Adult tickets = 2 400 × $25 =$60 000
• Child tickets = 900 × $15 =$13 500
• Total = $60 000 +$13 500 = $73 500? Wait: 2400×25=60000. 900×15=13500. Total=73500. Let me recalculate: 2400 × 25 = 60 000. 900 × 15 = 13 500. Sum = 73 500. **Answer:**$73 500 Mark: 5 (1 mark for number of children, 1 mark for adult ticket sales, 1 mark for child ticket sales, 1 mark for total, 1 mark for correct unit)

42. Answer: 2 250 toys

Working:

• Day 1: 2 400
• Day 2: 2 400 + 300 = 2 700
• Day 3: 2 × 2 700 = 5 400
• Total first 3 days = 2 400 + 2 700 + 5 400 = 10 500
• Remaining for Day 4 & 5 = 15 000 - 10 500 = 4 500
• Day 5 = 4 500 ÷ 2 = 2 250 Mark: 5 (1 mark for Day 2, 1 mark for Day 3, 1 mark for first 3 days total, 1 mark for remaining, 1 mark for Day 5)

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END OF ANSWER KEY