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Primary 4 Mathematics Semestral Assessment 2 (End of Year) Paper 3
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Questions
TuitionGoWhere Practice Paper - Mathematics Primary 4
TuitionGoWhere Exam Practice (AI)
| Subject: | Mathematics |
| Level: | Primary 4 |
| Paper: | SA2 (Version 3 of 5) |
| Duration: | 1 h 30 min |
| Total Marks: | 60 |
Name: ________________________ Class: ______________ Date: ______________
Instructions
- Answer all questions.
- Write your answers in the spaces provided.
- Show your working clearly in the space provided for Section C. Marks will be awarded for correct working.
- Do not use a calculator.
Section A: Multiple Choice (10 marks)
Choose the correct answer and write its letter in the brackets provided. Each question carries 2 marks.
1. In the number 63,814, what does the digit 3 stand for? ( )
(A) 3 (B) 30 (C) 300 (D) 3 000
2. Round 45 726 to the nearest thousand. ( )
(A) 45 000 (B) 45 700 (C) 46 000 (D) 50 000
3. Which of the following numbers is divisible by both 3 and 4? ( )
(A) 18 (B) 24 (C) 27 (D) 32
4. Find the value of . ( )
(A) 14 (B) 29 (C) 99 (D) 129
5. A number when rounded to the nearest hundred is 8 400. Which of the following could be the number? ( )
(A) 8 349 (B) 8 395 (C) 8 449 (D) 8 460
6. Mrs Tan bought 8 packets of cookies. Each packet contained 25 cookies. She gave 45 cookies to her neighbours. How many cookies did she have left? ( )
(A) 155 (B) 200 (C) 245 (D) 445
7. What is the sum of the first two common multiples of 4 and 6? ( )
(A) 12 (B) 24 (C) 36 (D) 48
8. ? ( )
(A) 48 (B) 240 (C) 288 (D) 336
9. A factory produces 1 250 bottles of juice each day. How many bottles of juice does the factory produce in 6 days? ( )
(A) 1 256 (B) 6 250 (C) 7 500 (D) 12 500
10. Mr Lim had 9 450 stamps. He packed them equally into 9 albums. How many stamps were in each album? ( )
(A) 15 (B) 105 (C) 1 005 (D) 1 050
Section B: Short Answer (20 marks)
Write your answers in the spaces provided. Each question carries 2 marks.
11. Write forty-two thousand and five in figures.
Ans: ____________
12. Arrange the following numbers from smallest to largest.
38 204 , 38 024 , 32 804
Ans: ____________, ____________, ____________
13. Find the product of 136 and 7.
Ans: ____________
14. Find the quotient and remainder when 5 678 is divided by 8.
Quotient: ____________ Remainder: ____________
15. Find the value of .
Ans: ____________
16. List all the factors of 36.
Ans: ____________
17. What is the first common multiple of 5 and 8 that is greater than 50?
Ans: ____________
18. The digit 7 in 57 293 is replaced by the digit 2 to form a new number. What is the difference between the two numbers?
Ans: ____________
19. Round 29 504 to the nearest hundred.
Ans: ____________
20. A fruiterer had 15 000 apples. He sold 6 780 apples in the morning and 4 390 apples in the afternoon. How many apples were left?
Ans: ____________
Section C: Word Problems (30 marks)
Show your working clearly and write your answers in the spaces provided. Each question carries the number of marks shown in the brackets.
21. A library had 24 500 books. The librarians bought 3 680 more books and then donated 1 925 old books to a community centre. How many books did the library have in the end? [3 marks]
Working:
Ans: ____________
22. A machine wraps 235 sweets every minute. How many sweets does the machine wrap in 45 minutes? [3 marks]
Working:
Ans: ____________
23. 4 identical chairs cost $468. How much do 9 such chairs cost? [3 marks]
Working:
Ans: ____________
24. There are 1 890 passengers on a train. At the first station, 456 passengers alighted and 327 passengers boarded the train. At the second station, 589 passengers alighted and 145 boarded the train. How many passengers are on the train now? [4 marks]
Working:
Ans: ____________
25. A farmer collected 9 450 eggs. He packed all the eggs into boxes of 6.
(a) How many boxes did he use? [2 marks]
(b) How many eggs were left over? [1 mark]
Working:
Ans (a): ____________ Ans (b): ____________
26. Ben is thinking of a number. When he divides the number by 7, the quotient is 124 and the remainder is 5. What is the number? [3 marks]
Working:
Ans: ____________
27. A school hall has 28 rows of chairs. There are 36 chairs in each row. 645 chairs are occupied. How many chairs are not occupied? [3 marks]
Working:
Ans: ____________
28. A shop owner bought 15 crates of oranges. Each crate contained 120 oranges. He threw away 84 rotten oranges and packed the remaining oranges equally into bags of 8. How many bags did he pack? [4 marks]
Working:
Ans: ____________
29. The table below shows the number of visitors to a museum over four days.
| Day | Number of Visitors |
|---|---|
| Monday | 2 450 |
| Tuesday | 1 875 |
| Wednesday | 3 120 |
| Thursday | 2 555 |
(a) How many visitors were there altogether over the four days? [2 marks]
(b) The museum wants to reach a total of 12 000 visitors for the week. How many more visitors must visit on Friday and Saturday combined? [2 marks]
Working:
Ans (a): ____________ Ans (b): ____________
30. Raju had $5 000. He bought a television for $1 295 and a sound system for $868. He then bought 3 identical tables for $417 each. How much money did Raju have left? [4 marks]
Working:
Ans: ____________
Answers
TuitionGoWhere Practice Paper - Mathematics Primary 4 - Answer Key
SA2 (Version 3 of 5)
Section A: Multiple Choice (10 marks)
| Qn | Answer | Marks | Working / Explanation |
|---|---|---|---|
| 1 | D | 2 | In 63 814, the digit 3 is in the thousands place. Value = 3 × 1 000 = 3 000. Common mistake: Confusing "digit" (3) with "value" (3 000). |
| 2 | C | 2 | 45 726: The digit in the hundreds place is 7. Since 7 ≥ 5, round up. 45 726 ≈ 46 000. |
| 3 | B | 2 | 18 ÷ 4 = 4 R2 (No). 24 ÷ 3 = 8, 24 ÷ 4 = 6 (Yes). 27 ÷ 4 = 6 R3 (No). 32 ÷ 3 = 10 R2 (No). |
| 4 | B | 2 | Division before addition: 84 ÷ 6 = 14. Then 14 + 15 = 29. Common mistake: Calculating left-to-right (84 ÷ 21 = 4). |
| 5 | C | 2 | Rounding to nearest hundred: 8 349 → 8 300. 8 395 → 8 400. 8 449 → 8 400. 8 460 → 8 500. Both 8 395 and 8 449 round to 8 400. Only C is an option. |
| 6 | A | 2 | 8 × 25 = 200. 200 – 45 = 155. |
| 7 | C | 2 | Multiples of 4: 4, 8, 12, 16, 20, 24... Multiples of 6: 6, 12, 18, 24... First two common multiples: 12 and 24. Sum = 12 + 24 = 36. |
| 8 | C | 2 | Using distributive law: 6 × 40 + 6 × 8 = 6 × (40 + 8) = 6 × 48 = 288. Or: 240 + 48 = 288. |
| 9 | C | 2 | 1 250 × 6 = 7 500. |
| 10 | D | 2 | 9 450 ÷ 9 = 1 050. |
Section B: Short Answer (20 marks)
| Qn | Answer | Marks | Working / Explanation |
|---|---|---|---|
| 11 | 42 005 | 2 | Forty-two thousand = 42 000. Five = 5. Combine: 42 005. |
| 12 | 32 804, 38 024, 38 204 | 2 | Compare ten-thousands (3), then thousands (2 vs 8). 32 804 is smallest. Then compare hundreds: 0 vs 2. 38 024 < 38 204. |
| 13 | 952 | 2 | 136 × 7 = 952. |
| 14 | Quotient: 709, Remainder: 6 | 2 | 5 678 ÷ 8: 8 × 709 = 5 672. 5 678 – 5 672 = 6. |
| 15 | 84 | 2 | Division before subtraction: 64 ÷ 8 = 8. Then 92 – 8 = 84. Common mistake: Left-to-right (92 – 64 = 28, 28 ÷ 8 = 3.5). |
| 16 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | 2 | Find pairs: 1×36, 2×18, 3×12, 4×9, 6×6. List in order. |
| 17 | 80 | 2 | Multiples of 5: 5, 10, 15... 50, 55, 60, 65, 70, 75, 80... Multiples of 8: 8, 16, 24... 40, 48, 56, 64, 72, 80... First common multiple > 50 is 80. |
| 18 | 50 000 | 2 | Original: 57 293. New: 52 293. Difference = 57 293 – 52 293 = 5 000. Or: The digit 7 is in the ten thousands place (70 000). Replaced by 2 (20 000). Difference = 70 000 – 20 000 = 50 000. |
| 19 | 29 500 | 2 | 29 504: The digit in the tens place is 0. Since 0 < 5, round down. 29 504 ≈ 29 500. |
| 20 | 3 830 | 2 | 15 000 – 6 780 = 8 220. 8 220 – 4 390 = 3 830. |
Section C: Word Problems (30 marks)
21. [3 marks]
- Books after buying: 24 500 + 3 680 = 28 180
- Books after donating: 28 180 – 1 925 = 26 255
- Answer: 26 255
- M1 for correct addition, M1 for correct subtraction, A1 for final answer.
22. [3 marks]
- 235 × 45
- 235 × 40 = 9 400
- 235 × 5 = 1 175
- 9 400 + 1 175 = 10 575
- Answer: 10 575
- M2 for correct multiplication, A1 for final answer.
23. [3 marks]
- Cost of 1 chair: $468 ÷ 4 = $117
- Cost of 9 chairs: $117 × 9 = $1 053
- Answer: $1 053
- M1 for finding unit cost, M1 for multiplying by 9, A1 for final answer.
24. [4 marks]
- After first station: 1 890 – 456 + 327 = 1 761
- After second station: 1 761 – 589 + 145 = 1 317
- Answer: 1 317
- M1 for first alight/board, M1 for first station total, M1 for second alight/board, A1 for final answer. Alternative: Net change = –456 + 327 – 589 + 145 = –573. 1 890 – 573 = 1 317.
25. [3 marks]
- (a) 9 450 ÷ 6 = 1 575. Answer (a): 1 575 boxes [2 marks: M1 for division, A1 for answer]
- (b) 1 575 × 6 = 9 450. Remainder = 0. Answer (b): 0 eggs [1 mark]
- Common mistake: Students may expect a non-zero remainder. Check: 9 450 is divisible by 6.
26. [3 marks]
- Number = (Quotient × Divisor) + Remainder
- Number = (124 × 7) + 5
- 124 × 7 = 868
- 868 + 5 = 873
- Answer: 873
- M1 for correct formula, M1 for multiplication, A1 for final answer. Common mistake: Forgetting to add the remainder.
27. [3 marks]
- Total chairs: 28 × 36 = 1 008
- Unoccupied chairs: 1 008 – 645 = 363
- Answer: 363
- M1 for finding total chairs, M1 for subtraction, A1 for final answer.
28. [4 marks]
- Total oranges bought: 15 × 120 = 1 800
- Good oranges: 1 800 – 84 = 1 716
- Number of bags: 1 716 ÷ 8 = 214
- Answer: 214 bags
- M1 for total oranges, M1 for subtracting rotten oranges, M1 for dividing by 8, A1 for final answer.
29. [4 marks]
- (a) Total visitors: 2 450 + 1 875 + 3 120 + 2 555 = 10 000 [2 marks: M1 for adding all four values, A1 for total]
- Answer (a): 10 000
- (b) Visitors still needed: 12 000 – 10 000 = 2 000 [2 marks: M1 for subtraction, A1 for answer]
- Answer (b): 2 000
30. [4 marks]
- Total spent on TV and sound system: $1 295 + $868 = $2 163
- Total spent on 3 tables: $417 × 3 = $1 251
- Total spent altogether: $2 163 + $1 251 = $3 414
- Money left: $5 000 – $3 414 = $1 586
- Answer: $1 586
- M1 for adding TV and sound system, M1 for cost of 3 tables, M1 for finding total spent, A1 for final answer. Alternative: Subtract sequentially from 5 000.