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Primary 4 Mathematics Practice Paper 2

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Questions

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TuitionGoWhere Practice Paper - Mathematics Primary 4

TuitionGoWhere Practice Paper (AI)
Subject: Mathematics
Level: Primary 4
Paper: Practice Paper 2 (Version 2 of 5)
Duration: 1 hour 30 minutes
Total Marks: 100

Name: ________________________
Class: Primary 4 _______
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. Write your answers in this booklet.
  5. The number of marks is given in brackets [ ] at the end of each question or part question.
  6. Show your working clearly in the space provided.
  7. The total marks for this paper is 100.

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 84,729, which digit is in the ten thousands place? [2]

(1) 8
(2) 4
(3) 7
(4) 2
Answer: (____)

2. What does the digit 6 stand for in 56,381? [2]

(1) 6
(2) 60
(3) 600
(4) 6,000
Answer: (____)

3. Round 37,482 to the nearest hundred. [2]

(1) 37,400
(2) 37,500
(3) 37,000
(4) 38,000
Answer: (____)

4. Which of the following numbers when rounded to the nearest thousand gives 45,000? [2]

(1) 44,399
(2) 44,501
(3) 45,499
(4) 45,501
Answer: (____)

5. 63,000 + 4,000 + 800 + 20 + 5 = ________ [2]

(1) 67,825
(2) 67,852
(3) 68,725
(4) 68,752
Answer: (____)

6. Find the difference between 82,500 and 37,846. [2]

(1) 44,654
(2) 44,754
(3) 45,654
(4) 45,754
Answer: (____)

7. 456 × 37 = ________ [2]

(1) 16,872
(2) 16,782
(3) 15,872
(4) 15,782
Answer: (____)

8. 72,000 ÷ 80 = ________ [2]

(1) 90
(2) 900
(3) 9,000
(4) 90,000
Answer: (____)

9. A factory produced 28,450 toys in January. It produced 15,680 fewer toys in February. How many toys did the factory produce in February? [2]

(1) 12,770
(2) 12,870
(3) 13,770
(4) 13,870
Answer: (____)

10. Mr Tan had 85,000.Heboughtacarfor85,000. He bought a car for 68,450. He then used the remaining money to buy 5 identical laptops. How much did each laptop cost? [2]

(1) 3,310(2)3,310 (2) 3,130
(3) 3,031(4)3,031 (4) 3,301
Answer: (____)

SECTION B: Short Answer Questions (30 marks)

Questions 11 to 20 carry 2 marks each. Questions 21 to 25 carry 4 marks each. Write your answers in the spaces provided. Show your working clearly.

11. Write 92,065 in words. [2]

12. In 47,309, the digit 7 is in the ________________ place. [2]

13. What is the value of the digit 3 in 63,842? [2]

14. Round 58,947 to the nearest thousand. [2]

15. A number rounded to the nearest hundred is 24,300. What is the greatest possible value of this number? [2]

16. Arrange the following numbers from the smallest to the greatest:

38,492 ; 38,942 ; 34,892 ; 39,482 [2]

17. Complete the number pattern:

24,500 ; 25,000 ; 25,500 ; ________ ; 26,500 [2]

18. Find the sum of 48,376 and 29,584. [2]

19. Subtract 18,729 from 56,000. [2]

20. Multiply 324 by 46. [2]

21. Divide 84,560 by 8. [4]

22. A library has 45,680 books. 18,425 books are Chinese books. The rest are English and Malay books. If there are 12,350 English books, how many Malay books are there? [4]

23. Mrs Lim bought 6 boxes of apples. Each box contained 48 apples. She packed all the apples equally into 8 baskets. How many apples were there in each basket? [4]

24. The total mass of 5 identical boxes and 3 identical bags is 42 kg. The mass of each box is 6 kg. What is the mass of each bag? [4]

25. A stadium has 48,000 seats. On Saturday, 37,845 seats were occupied. On Sunday, 5,620 more seats were occupied than on Saturday. How many seats were empty on Sunday? [4]

SECTION C: Long Answer Questions (50 marks)

Questions 26 to 30 carry 5 marks each. Questions 31 to 35 carry 5 marks each. Show your working clearly and write your final answer in the space provided.

26. A factory produced 12,450 toys in January. In February, it produced 3,780 more 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? [5]

27. Mr Koh had 95,000.Hespent95,000. He spent 38,750 on a renovation. He gave $12,500 to his son. He divided the remaining money equally among his 3 daughters. How much did each daughter receive? [5]

28. There are 48,360 people at a concert. 18,425 are men. There are 2,350 more women than men. The rest are children. How many children are there at the concert? [5]

29. A shopkeeper bought 15 boxes of pens. Each box contained 48 pens. He sold 385 pens. He then packed the remaining pens into packets of 5. How many packets of pens did he get? [5]

30. The total cost of 4 similar watches and 3 similar belts is 2,480.Thecostofeachwatchis2,480. The cost of each watch is 450. What is the cost of each belt? [5]

31. A school has 1,240 pupils. 3/8 of the pupils are in the lower primary. The rest are in the upper primary. How many more upper primary pupils than lower primary pupils are there? [5]

32. A rectangular field has a length of 85 m and a breadth of 45 m. A path of uniform width 3 m runs around the inside of the field. Find the area of the path. [5]

33. A number is between 40,000 and 50,000. When rounded to the nearest thousand, it becomes 45,000. The sum of its digits is 22. The digit in the hundreds place is twice the digit in the tens place. What is the number? [5]

34. Mrs Tan bought some apples and oranges. She bought 3 times as many apples as oranges. Each apple cost 0.60andeachorangecost0.60 and each orange cost 0.80. She paid $156 altogether. How many apples did she buy? [5]

35. A container can hold 45,000 ml of water. It is filled with water to 4/5 of its capacity. Some water is poured out until the container is 2/3 full. How many millilitres of water were poured out? [5]

END OF PAPER
Total Marks: 100

Answers

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TuitionGoWhere Practice Paper - Mathematics Primary 4 (Answer Key)

Subject: Mathematics
Level: Primary 4
Paper: Practice Paper 2 (Version 2 of 5)
Total Marks: 100

SECTION A: Multiple-Choice Questions (20 marks)

1. Answer: (1) 8 [2]

Explanation: In the number 84,729, the digits from left to right are: 8 (ten thousands), 4 (thousands), 7 (hundreds), 2 (tens), 9 (ones). The digit in the ten thousands place is 8.

2. Answer: (4) 6,000 [2]

Explanation: In 56,381, the digit 6 is in the thousands place. Its value is 6 × 1,000 = 6,000.

3. Answer: (2) 37,500 [2]

Explanation: To round 37,482 to the nearest hundred, look at the tens digit (8). Since 8 ≥ 5, round up the hundreds digit from 4 to 5. The number becomes 37,500.

4. Answer: (3) 45,499 [2]

Explanation: A number rounds to 45,000 when rounded to the nearest thousand if it is between 44,500 and 45,499 (inclusive). Among the options, 45,499 falls in this range.

5. Answer: (1) 67,825 [2]

Explanation: 63,000 + 4,000 = 67,000; 67,000 + 800 = 67,800; 67,800 + 20 = 67,820; 67,820 + 5 = 67,825.

6. Answer: (1) 44,654 [2]

Explanation: 82,500 − 37,846 = 44,654.
Working:

  82,500
- 37,846
--------
  44,654

7. Answer: (1) 16,872 [2]

Explanation: 456 × 37 = 456 × (30 + 7) = 456 × 30 + 456 × 7 = 13,680 + 3,192 = 16,872.

8. Answer: (2) 900 [2]

Explanation: 72,000 ÷ 80 = 7,200 ÷ 8 = 900. (Divide both numbers by 10 first.)

9. Answer: (1) 12,770 [2]

Explanation: February production = 28,450 − 15,680 = 12,770.

10. Answer: (1) $3,310 [2]

Explanation: Remaining money = 85,000−85,000 − 68,450 = 16,550.Costperlaptop=16,550. Cost per laptop = 16,550 ÷ 5 = $3,310.

SECTION B: Short Answer Questions (30 marks)

11. Ninety-two thousand and sixty-five [2]

Marking: 1 mark for "Ninety-two thousand", 1 mark for "sixty-five" (accept "and" before sixty-five).

12. thousands [2]

Explanation: In 47,309, the digits are: 4 (ten thousands), 7 (thousands), 3 (hundreds), 0 (tens), 9 (ones). The digit 7 is in the thousands place.

13. 3,000 [2]

Explanation: In 63,842, the digit 3 is in the thousands place. Its value is 3 × 1,000 = 3,000.

14. 59,000 [2]

Explanation: To round 58,947 to the nearest thousand, look at the hundreds digit (9). Since 9 ≥ 5, round up the thousands digit from 8 to 9. The number becomes 59,000.

15. 24,349 [2]

Explanation: When rounding to the nearest hundred, numbers from 24,250 to 24,349 round to 24,300. The greatest possible value is 24,349.

16. 34,892 ; 38,492 ; 38,942 ; 39,482 [2]

Explanation: Compare ten thousands (all 3), then thousands: 4 < 8 = 8 < 9. For the two 38,xxx numbers, compare hundreds: 4 < 9.

17. 26,000 [2]

Explanation: The pattern increases by 500 each time: 24,500 + 500 = 25,000; 25,000 + 500 = 25,500; 25,500 + 500 = 26,000; 26,000 + 500 = 26,500.

18. 77,960 [2]

Working:

  48,376
+ 29,584
--------
  77,960

19. 37,271 [2]

Working:

  56,000
- 18,729
--------
  37,271

20. 14,904 [2]

Working: 324 × 46 = 324 × (40 + 6) = 324 × 40 + 324 × 6 = 12,960 + 1,944 = 14,904.

21. 10,570 [4]

Working:

  10,570
8)84,560
  -8
  --
   04
   -0
   --
    45
   -40
   --
     56
    -56
    --
      0

Marking: 1 mark for correct division method, 1 mark for each correct partial quotient (10,000; 500; 70), 1 mark for final answer.

22. 14,905 [4]

Working:
English + Malay books = 45,680 − 18,425 = 27,255
Malay books = 27,255 − 12,350 = 14,905
Marking: 1 mark for finding non-Chinese books, 1 mark for subtraction, 1 mark for finding Malay books, 1 mark for final answer.

23. 36 [4]

Working:
Total apples = 6 × 48 = 288
Apples per basket = 288 ÷ 8 = 36
Marking: 1 mark for total apples, 1 mark for division, 1 mark for correct operation, 1 mark for final answer.

24. 4 kg [4]

Working:
Mass of 5 boxes = 5 × 6 = 30 kg
Mass of 3 bags = 42 − 30 = 12 kg
Mass of each bag = 12 ÷ 3 = 4 kg
Marking: 1 mark for mass of boxes, 1 mark for mass of bags, 1 mark for division, 1 mark for final answer.

25. 4,535 [4]

Working:
Seats occupied on Sunday = 37,845 + 5,620 = 43,465
Empty seats on Sunday = 48,000 − 43,465 = 4,535
Marking: 1 mark for Sunday occupied seats, 1 mark for subtraction, 1 mark for correct operation, 1 mark for final answer.

SECTION C: Long Answer Questions (50 marks)

26. 74,910 [5]

Working:
January: 12,450
February: 12,450 + 3,780 = 16,230
March: 16,230 × 2 = 32,460
Total: 12,450 + 16,230 + 32,460 = 61,140
Wait, let me recalculate:
12,450 + 16,230 = 28,680
28,680 + 32,460 = 61,140

Correction: The total is 61,140, not 74,910. Let me recheck the question.
"In February, it produced 3,780 more toys than in January" → 12,450 + 3,780 = 16,230 ✓
"In March, it produced twice as many toys as in February" → 16,230 × 2 = 32,460 ✓
Total = 12,450 + 16,230 + 32,460 = 61,140

Final Answer: 61,140
Marking: 1 mark for February production, 1 mark for March production, 1 mark for addition of Jan+Feb, 1 mark for adding March, 1 mark for final answer.

27. 14,583.33(or14,583.33 (or 14,583 1/3) [5]

Working:
Remaining after renovation = 95,000−95,000 − 38,750 = 56,250Remainingaftergivingson=56,250 Remaining after giving son = 56,250 − 12,500=12,500 = 43,750
Each daughter receives = 43,750÷3=43,750 ÷ 3 = 14,583.33...
Marking: 1 mark for first subtraction, 1 mark for second subtraction, 1 mark for division by 3, 1 mark for correct decimal/remainder handling, 1 mark for final answer.
Note: Accept 14,583.33or14,583.33 or 14,583 1/3 or "14,583 remainder 1".

28. 9,160 [5]

Working:
Number of women = 18,425 + 2,350 = 20,775
Total adults = 18,425 + 20,775 = 39,200
Number of children = 48,360 − 39,200 = 9,160
Marking: 1 mark for women calculation, 1 mark for total adults, 1 mark for subtraction from total, 1 mark for correct operations, 1 mark for final answer.

29. 103 [5]

Working:
Total pens = 15 × 48 = 720
Remaining pens = 720 − 385 = 335
Number of packets = 335 ÷ 5 = 67
Wait, 335 ÷ 5 = 67, not 103. Let me recalculate.
15 × 48 = 720 ✓
720 − 385 = 335 ✓
335 ÷ 5 = 67 ✓

Final Answer: 67
Marking: 1 mark for total pens, 1 mark for remaining pens, 1 mark for division by 5, 1 mark for correct operations, 1 mark for final answer.

30. 226.67(or226.67 (or 226 2/3) [5]

Working:
Cost of 4 watches = 4 × 450=450 = 1,800
Cost of 3 belts = 2,480−2,480 − 1,800 = 680Costofeachbelt=680 Cost of each belt = 680 ÷ 3 = $226.67...
Marking: 1 mark for cost of watches, 1 mark for cost of belts, 1 mark for division by 3, 1 mark for correct decimal handling, 1 mark for final answer.

31. 310 [5]

Working:
Lower primary pupils = 1,240 × 3/8 = 465
Upper primary pupils = 1,240 − 465 = 775
Difference = 775 − 465 = 310
Marking: 1 mark for lower primary calculation, 1 mark for upper primary calculation, 1 mark for subtraction, 1 mark for correct fraction operation, 1 mark for final answer.

32. 756 m² [5]

Working:
Area of field = 85 × 45 = 3,825 m²
Inner rectangle length = 85 − 2×3 = 79 m
Inner rectangle breadth = 45 − 2×3 = 39 m
Area of inner rectangle = 79 × 39 = 3,081 m²
Area of path = 3,825 − 3,081 = 744 m²

Wait, let me recalculate 79 × 39:
79 × 39 = 79 × (40 − 1) = 3,160 − 79 = 3,081 ✓
3,825 − 3,081 = 744 ✓

Final Answer: 744 m²
Marking: 1 mark for outer area, 1 mark for inner dimensions, 1 mark for inner area, 1 mark for subtraction, 1 mark for final answer with unit.

33. 44,682 [5]

Working:
Number is between 40,000 and 50,000 → ten thousands digit = 4
Rounded to nearest thousand = 45,000 → thousands digit = 4 or 5
Since it rounds to 45,000, the number is between 44,500 and 45,499.
So thousands digit = 4 (if 44,500–44,999) or 5 (if 45,000–45,499).
Sum of digits = 22. Let number be 4abcd.
4 + a + b + c + d = 22 → a + b + c + d = 18
Hundreds digit = 2 × tens digit → c = 2b
Number is between 44,500 and 45,499.
If a = 4: 4 + b + c + d = 18 → b + c + d = 14, with c = 2b.
Try b = 2, c = 4: 2 + 4 + d = 14 → d = 8. Number = 44,248. But 44,248 < 44,500. ✗
Try b = 3, c = 6: 3 + 6 + d = 14 → d = 5. Number = 44,365. But 44,365 < 44,500. ✗
Try b = 4, c = 8: 4 + 8 + d = 14 → d = 2. Number = 44,482. But 44,482 < 44,500. ✗
If a = 5: 5 + b + c + d = 18 → b + c + d = 13, with c = 2b.
Number is 45,bcd where bcd is between 000 and 499.
Try b = 2, c = 4: 2 + 4 + d = 13 → d = 7. Number = 45,247. But 45,247 > 45,499? No, 45,247 < 45,499. ✓
Check: 45,247 rounds to 45,000? Hundreds digit is 2 < 5, so rounds down to 45,000. ✓
Sum: 4+5+2+4+7 = 22. ✓
Hundreds (4) = 2 × tens (2). ✓

Wait, but the question says "The digit in the hundreds place is twice the digit in the tens place."
In 45,247: hundreds = 2, tens = 4. 2 ≠ 2×4. ✗

Let me re-read: "The digit in the hundreds place is twice the digit in the tens place." → c = 2b where b = tens, c = hundreds?
No: number is 4 a b c d where a=thousands, b=hundreds, c=tens, d=ones.
Hundreds place digit = b, tens place digit = c.
b = 2c.
Sum: 4 + a + b + c + d = 22.
Number between 44,500 and 45,499.
If a = 4: number is 44,bcd with bcd ≥ 500.
4 + 4 + b + c + d = 22 → b + c + d = 14, b = 2c.
b ≥ 5 (since ≥ 44,500).
Try c = 3, b = 6: 6 + 3 + d = 14 → d = 5. Number = 44,635. Check: 44,635 rounds to 45,000? Hundreds = 6 ≥ 5, rounds up to 45,000. ✓
Sum: 4+4+6+3+5 = 22. ✓
Hundreds (6) = 2 × tens (3). ✓

Final Answer: 44,635
Marking: 1 mark for ten thousands digit, 1 mark for range deduction, 1 mark for digit sum equation, 1 mark for hundreds/tens relationship, 1 mark for final answer.

34. 180 [5]

Working:
Let number of oranges = u
Number of apples = 3u
Cost: 3u × 0.60+u×0.60 + u × 0.80 = $156
1.80u + 0.80u = 156
2.60u = 156
u = 156 ÷ 2.60 = 60
Number of apples = 3 × 60 = 180
Marking: 1 mark for setting up variable, 1 mark for cost equation, 1 mark for solving u, 1 mark for finding apples, 1 mark for final answer.

35. 3,000 ml [5]

Working:
Capacity = 45,000 ml
Initially filled = 4/5 × 45,000 = 36,000 ml
Finally filled = 2/3 × 45,000 = 30,000 ml
Water poured out = 36,000 − 30,000 = 6,000 ml

Wait, 4/5 of 45,000 = 36,000. 2/3 of 45,000 = 30,000. Difference = 6,000.

Final Answer: 6,000 ml
Marking: 1 mark for initial volume, 1 mark for final volume, 1 mark for subtraction, 1 mark for correct fraction operations, 1 mark for final answer with unit.

END OF ANSWER KEY
Total Marks: 100