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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
Duration: 1 hour 30 minutes
Total Marks: 100
Name: _______________________
Class: Primary 4 _______
Date: _______________________
INSTRUCTIONS TO CANDIDATES
- Do not turn over this page until you are told to do so.
- Follow all instructions carefully.
- Answer all questions.
- Write your answers in this booklet.
- The number of marks is given in brackets [ ] at the end of each question or part question.
- The total number of marks for this paper is 100.
- You may use a calculator for this paper.
SECTION 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 68,429, which digit is in the thousands place? [2]
(1) 6
(2) 8
(3) 4
(4) 2
Answer: (____)
2. What does the digit 7 stand for in 57,381? [2]
(1) 7
(2) 70
(3) 700
(4) 7000
Answer: (____)
3. Round 42,673 to the nearest hundred. [2]
(1) 42,600
(2) 42,700
(3) 43,000
(4) 42,670
Answer: (____)
4. Which of the following numbers when rounded to the nearest thousand gives 35,000? [2]
(1) 34,399
(2) 34,499
(3) 35,499
(4) 35,500
Answer: (____)
5. 63,000 + 4,000 + 800 + 50 + 2 = __________ [2]
(1) 67,852
(2) 67,825
(3) 67,582
(4) 67,258
Answer: (____)
6. Find the value of 84,500 − 27,800. [2]
(1) 56,700
(2) 57,700
(3) 56,300
(4) 57,300
Answer: (____)
7. What is the product of 324 and 18? [2]
(1) 5,832
(2) 5,382
(3) 5,823
(4) 5,238
Answer: (____)
8. Divide 7,245 by 9. [2]
(1) 805
(2) 850
(3) 805
(4) 855
Answer: (____)
9. A factory produced 4,850 toys in January. It produced 1,250 more toys in February than in January. How many toys did the factory produce in February? [2]
(1) 3,600
(2) 6,100
(3) 6,000
(4) 5,100
Answer: (____)
10. Mr Tan had 3,280 and a washing machine for $1,950. How much money had he left? [2]
(1) 3,720
(3) 5,220
Answer: (____)
SECTION B: Short-Answer Questions (40 marks)
Questions 11 to 25 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. Show your working clearly.
11. Write 94,065 in words. [2]
12. What is the value of the digit 3 in 83,472? [2]
13. Arrange the following numbers from the smallest to the greatest. [2]
72,405 ; 72,054 ; 70,245 ; 72,540
14. Complete the number pattern. [2]
58,000 ; 56,000 ; 54,000 ; ________ ; 50,000
15. Round 29,847 to the nearest thousand. [2]
16. Find the sum of 48,372 and 25,689. [2]
17. Subtract 18,476 from 52,300. [2]
18. Multiply 406 by 27. [2]
19. Divide 6,832 by 8. [2]
20. A number when rounded to the nearest hundred is 15,300. What is the greatest possible value of this number? [2]
21. Find the difference between 80,000 and 34,567. [2]
22. There are 3,450 books in a library. There are 2,780 more magazines than books. How many magazines are there? [2]
23. A baker baked 2,450 cookies. He packed them equally into 5 boxes. How many cookies were there in each box? [2]
24. Mrs Lim bought 6 boxes of apples. There were 24 apples in each box. She gave away 35 apples. How many apples had she left? [2]
25. The sum of two numbers is 48,000. The smaller number is 18,500. What is the larger number? [2]
SECTION C: Long-Answer / Structured Questions (40 marks)
Questions 26 to 30 carry 4 to 8 marks each. Show your working clearly and write your answers in the spaces provided.
26. A stadium has 45,680 seats. [4]
(a) Round the number of seats to the nearest thousand. [1]
(b) Write your answer in (a) in words. [1]
(c) If 28,450 seats are occupied, how many seats are empty? [2]
27. A factory produced 12,450 toys in March. [4]
In April, it produced 3,280 fewer toys than in March.
In May, it produced twice as many toys as in April.
(a) How many toys were produced in April? [1]
(b) How many toys were produced in May? [1]
(c) What was the total number of toys produced in the three months? [2]
28. Mr Kumar had $50,000. [4]
He bought a laptop for 480.
He then divided the remaining money equally among his 4 children.
(a) How much did he spend on the laptop and printer altogether? [1]
(b) How much money had he left after buying the laptop and printer? [1]
(c) How much did each child receive? [2]
29. A school has 3,240 students. [4]
There are 1,580 boys. The rest are girls.
The students are divided equally into 8 classes.
(a) How many girls are there in the school? [1]
(b) How many students are there in each class? [1]
(c) If each class has the same number of boys, how many boys are there in each class? [2]
30. A container can hold 8,500 ml of water. [8]
It is filled with water from 5 identical jugs and 3 identical bottles.
Each jug contains 1,200 ml of water.
Each bottle contains 650 ml of water.
(a) How much water do the 5 jugs contain altogether? [2]
(b) How much water do the 3 bottles contain altogether? [2]
(c) How much more water is needed to fill the container completely? [2]
(d) If the water from the jugs and bottles is poured into 10 identical cups equally, how much water is in each cup? [2]
END OF PAPER
Answers
TuitionGoWhere Practice Paper - Mathematics Primary 4 (Answer Key)
SA2 Version 3
Total Marks: 100
SECTION A: Multiple-Choice Questions (20 marks)
1. Answer: (2) 8 [2]
Explanation: In 68,429, the digits from left to right are: 6 (ten thousands), 8 (thousands), 4 (hundreds), 2 (tens), 9 (ones). The digit in the thousands place is 8.
2. Answer: (4) 7000 [2]
Explanation: In 57,381, the digit 7 is in the thousands place. Its value is 7 × 1,000 = 7,000.
3. Answer: (2) 42,700 [2]
Explanation: To round 42,673 to the nearest hundred, look at the tens digit (7). Since 7 ≥ 5, round up the hundreds digit from 6 to 7. The number becomes 42,700.
4. Answer: (3) 35,499 [2]
Explanation: Numbers that round to 35,000 when rounded to the nearest thousand are from 34,500 to 35,499.
- 34,399 rounds to 34,000
- 34,499 rounds to 34,000
- 35,499 rounds to 35,000 ✓
- 35,500 rounds to 36,000
5. Answer: (1) 67,852 [2]
Explanation: 63,000 + 4,000 = 67,000; 67,000 + 800 = 67,800; 67,800 + 50 = 67,850; 67,850 + 2 = 67,852.
6. Answer: (1) 56,700 [2]
Explanation: 84,500 − 27,800 = 56,700. (Subtract thousands: 84 − 27 = 57, but 500 − 800 requires borrowing: 84,500 − 27,800 = 56,700)
7. Answer: (1) 5,832 [2]
Explanation: 324 × 18 = 324 × (10 + 8) = 3,240 + 2,592 = 5,832.
8. Answer: (1) 805 [2]
Explanation: 7,245 ÷ 9 = 805. (9 × 800 = 7,200; 9 × 5 = 45; 7,200 + 45 = 7,245)
9. Answer: (2) 6,100 [2]
Explanation: February production = January production + 1,250 = 4,850 + 1,250 = 6,100.
10. Answer: (1) $3,270 [2]
Explanation: Total spent = 1,950 = 8,500 − 3,270.
SECTION B: Short-Answer Questions (40 marks)
11. Ninety-four thousand and sixty-five [2]
Explanation: 94,065 = 94,000 + 65. In words: "Ninety-four thousand and sixty-five". Note: "and" is used before the last two digits when there are no hundreds.
12. 3,000 [2]
Explanation: In 83,472, the digit 3 is in the thousands place. Its value is 3 × 1,000 = 3,000.
13. 70,245 ; 72,054 ; 72,405 ; 72,540 [2]
Explanation: Compare ten-thousands (all 7), then thousands (0 vs 2): 70,245 is smallest. For the 72,xxx numbers, compare hundreds: 0 < 4 < 5, so 72,054 < 72,405 < 72,540.
14. 52,000 [2]
Explanation: The pattern decreases by 2,000 each time: 58,000 − 2,000 = 56,000; 56,000 − 2,000 = 54,000; 54,000 − 2,000 = 52,000; 52,000 − 2,000 = 50,000.
15. 30,000 [2]
Explanation: To round 29,847 to the nearest thousand, look at the hundreds digit (8). Since 8 ≥ 5, round up the thousands digit from 9 to 10, which makes it 30,000.
16. 74,061 [2]
Working:
48,372
+ 25,689
--------
74,061
Explanation: Add column by column from right: 2+9=11 (write 1, carry 1); 7+8+1=16 (write 6, carry 1); 3+6+1=10 (write 0, carry 1); 8+5+1=14 (write 4, carry 1); 4+2+1=7.
17. 33,824 [2]
Working:
52,300
- 18,476
--------
33,824
Explanation: Subtract with borrowing. 0−6: borrow from tens (0), which borrows from hundreds (3→2), tens become 10, then ones become 10. 10−6=4. Tens: 9−7=2. Hundreds: 2−4: borrow from thousands (2→1), hundreds become 12. 12−4=8. Thousands: 1−8: borrow from ten-thousands (5→4), thousands become 11. 11−8=3. Ten-thousands: 4−1=3.
18. 10,962 [2]
Working:
406
× 27
-----
2842 (406 × 7)
8120 (406 × 20)
-----
10962
Explanation: 406 × 7 = 2,842. 406 × 20 = 8,120. Sum = 10,962.
19. 854 [2]
Working: 6,832 ÷ 8
- 8 goes into 68 eight times (8×8=64), remainder 4
- Bring down 3 → 43, 8 goes into 43 five times (8×5=40), remainder 3
- Bring down 2 → 32, 8 goes into 32 four times (8×4=32), remainder 0
- Answer: 854
20. 15,349 [2]
Explanation: When rounding to the nearest hundred, numbers from 15,250 to 15,349 round to 15,300. The greatest possible value is 15,349.
21. 45,433 [2]
Working:
80,000
- 34,567
--------
45,433
Explanation: Subtract with borrowing across zeros. 80,000 − 34,567 = 45,433.
22. 6,230 [2]
Working: Magazines = Books + 2,780 = 3,450 + 2,780 = 6,230.
23. 490 [2]
Working: 2,450 ÷ 5 = 490. (5 × 400 = 2,000; 5 × 90 = 450; 2,000 + 450 = 2,450)
24. 109 [2]
Working: Total apples = 6 × 24 = 144. Apples left = 144 − 35 = 109.
25. 29,500 [2]
Working: Larger number = Sum − Smaller number = 48,000 − 18,500 = 29,500.
SECTION C: Long-Answer / Structured Questions (40 marks)
26. [4]
(a) 46,000 [1] Explanation: 45,680 rounded to the nearest thousand: hundreds digit is 6 (≥5), so round up thousands digit from 5 to 6 → 46,000.
(b) Forty-six thousand [1] Explanation: 46,000 in words is "Forty-six thousand".
(c) 17,230 [2] Working: Empty seats = Total seats − Occupied seats = 45,680 − 28,450 = 17,230.
27. [4]
(a) 9,170 [1] Working: April production = March production − 3,280 = 12,450 − 3,280 = 9,170.
(b) 18,340 [1] Working: May production = 2 × April production = 2 × 9,170 = 18,340.
(c) 39,960 [2] Working: Total = March + April + May = 12,450 + 9,170 + 18,340 = 39,960. Mark breakdown: 1 mark for correct April and May values used, 1 mark for correct total.
28. [4]
**(a) 2,850 + 3,330.
**(b) 50,000 − 46,670.
**(c) 46,670 ÷ 4 = $11,667.50. Mark breakdown: 1 mark for correct division method, 1 mark for correct answer with units. Note: Since money can be in dollars and cents, the answer includes 50 cents.
29. [4]
(a) 1,660 [1] Working: Girls = Total students − Boys = 3,240 − 1,580 = 1,660.
(b) 405 [1] Working: Students per class = 3,240 ÷ 8 = 405.
(c) 197.5 → 197 or 198 (not possible to have half a boy) [2] Working: Boys per class = 1,580 ÷ 8 = 197.5. Explanation: Since the number of boys must be a whole number, it is not possible for each class to have exactly the same number of boys if there are 1,580 boys and 8 classes. The question states "If each class has the same number of boys", which is a hypothetical condition. Mathematically, 1,580 ÷ 8 = 197.5. Mark breakdown: 1 mark for division, 1 mark for correct interpretation (197.5 or stating not possible equally). Common mistake: Writing 197 or 198 without recognising the decimal.
30. [8]
(a) 6,000 ml [2] Working: 5 jugs × 1,200 ml = 6,000 ml. Mark breakdown: 1 mark for multiplication, 1 mark for correct answer with unit.
(b) 1,950 ml [2] Working: 3 bottles × 650 ml = 1,950 ml. Mark breakdown: 1 mark for multiplication, 1 mark for correct answer with unit.
(c) 550 ml [2] Working: Total water = 6,000 + 1,950 = 7,950 ml. Water needed = 8,500 − 7,950 = 550 ml. Mark breakdown: 1 mark for finding total water, 1 mark for correct subtraction and answer with unit.
(d) 795 ml [2] Working: Total water = 7,950 ml. Water per cup = 7,950 ÷ 10 = 795 ml. Mark breakdown: 1 mark for using correct total, 1 mark for correct division and answer with unit.
END OF ANSWER KEY