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Primary 4 Mathematics Practice Paper 2

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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

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 marks for this paper is 100.
You may use a calculator for this paper.
Show all working clearly in the space provided.

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 42,678 to the nearest hundred. [2]

(1) 42,600
(2) 42,700
(3) 43,000
(4) 42,680
Answer: (____)

4. Which of the following numbers when rounded to the nearest thousand gives 35,000? [2]

(1) 34,499
(2) 34,500
(3) 35,500
(4) 35,501
Answer: (____)

5. 84,000 + 3,000 + 500 + 20 + 6 = ________ [2]

(1) 87,526
(2) 87,562
(3) 87,625
(4) 87,652
Answer: (____)

6. Find the difference between 72,500 and 28,346. [2]

(1) 44,154
(2) 44,254
(3) 44,164
(4) 44,264
Answer: (____)

7. 408 × 15 = ________ [2]

(1) 6,120
(2) 6,020
(3) 6,102
(4) 6,210
Answer: (____)

8. When a number is divided by 8, the quotient is 1,234 and the remainder is 5. What is the number? [2]

(1) 9,872
(2) 9,877
(3) 9,882
(4) 9,887
Answer: (____)

9. Which of the following is a factor of 84? [2]

(1) 5
(2) 6
(3) 8
(4) 9
Answer: (____)

10. The first three common multiples of 4 and 6 are ________ [2]

(1) 12, 24, 36
(2) 12, 18, 24
(3) 24, 36, 48
(4) 4, 8, 12
Answer: (____)

SECTION B: Short Answer Questions (40 marks)

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

11. Write sixty-four thousand, three hundred and seven in numerals. [2]

Answer: ________________________

12. In 92,507, the digit 9 is in the _______________ place. [2]

Answer: ________________________

13. What is the value of the digit 3 in 43,821? [2]

Answer: ________________________

14. Round 58,943 to the nearest thousand. [2]

Answer: ________________________

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

Answer: ________________________

16. Arrange the following numbers from the smallest to the greatest. [2]

67,402 ; 67,042 ; 67,240 ; 67,420

Answer: ________________________

17. Complete the number pattern. [2]

48,500 ; 48,000 ; 47,500 ; ________ ; 46,500

Answer: ________________________

18. 56,000 + 4,000 + 300 + 80 + 9 = ________ [2]

Answer: ________________________

19. Find the sum of 38,427 and 25,684. [2]

Answer: ________________________

20. Subtract 18,759 from 50,000. [2]

Answer: ________________________

21. 324 × 23 = ________ [2]

Answer: ________________________

22. 8,736 ÷ 6 = ________ [2]

Answer: ________________________

23. Find the product of 145 and 37. [2]

Answer: ________________________

24. List all the factors of 36. [2]

Answer: ________________________

25. Find the first two common multiples of 5 and 8. [2]

Answer: ________________________

SECTION C: Long Answer Questions (40 marks)

Questions 26 to 35 carry 4 marks each. Show your working clearly and write your answers in the spaces provided.

26. The table below shows the number of visitors to the Singapore Zoo over four months. [4]

Month	Number of Visitors
January	48,235
February	52,187
March	49,654
April	51,329

(a) Round the number of visitors in January to the nearest thousand.
(b) How many more visitors were there in February than in March?
(c) Find the total number of visitors for the four months.
(d) Express your answer in (c) in words.

Answers:
(a) ________________________
(b) ________________________
(c) ________________________
(d) ________________________

27. A factory produced 8,450 toys in January. In February, it produced 1,235 more toys than in January. In March, it produced twice as many toys as in February. [4]

(a) How many toys were produced in February?
(b) How many toys were produced in March?
(c) Find the total number of toys produced in the three months.

Answers:
(a) ________________________
(b) ________________________
(c) ________________________

28. Mrs Tan had $45,000. She bought a sofa set for$ 3,850 and a dining table for $2,490. She then divided the remaining money equally among her 4 children. [4]

(a) How much did she spend on the sofa set and dining table altogether?
(b) How much money did she have left?
(c) How much did each child receive?

Answers:
(a) ________________________
(b) ________________________
(c) ________________________

29. There are 3,456 students in a school. The students are divided equally into 8 classes. [4]

(a) How many students are there in each class?
(b) If each class is further divided into 6 groups, how many students are there in each group?
(c) The school plans to give each student 3 pencils. How many pencils are needed in total?

Answers:
(a) ________________________
(b) ________________________
(c) ________________________

30. A number when divided by 7 gives a quotient of 1,234 and a remainder of 3. [4]

(a) What is the number?
(b) If this number is divided by 6, what is the remainder?

Answers:
(a) ________________________
(b) ________________________

31. The product of two numbers is 12,348. One of the numbers is 42. [4]

(a) What is the other number?
(b) Find the sum of the two numbers.

Answers:
(a) ________________________
(b) ________________________

32. A rectangular field has a length of 125 m and a breadth of 84 m. [4]

(a) Find the perimeter of the field.
(b) Find the area of the field.
(c) If a fence is to be built around the field at $15 per metre, how much will it cost?

Answers:
(a) ________________________
(b) ________________________
(c) ________________________

33. Find the greatest 5-digit number that can be formed using the digits 2, 5, 8, 1, 9 without repeating any digit. [4]

(a) Write the number in numerals.
(b) Write the number in words.
(c) Round this number to the nearest ten thousand.

Answers:
(a) ________________________
(b) ________________________
(c) ________________________

34. The sum of three numbers is 48,000. The first number is 12,345. The second number is 3,456 more than the first number. [4]

(a) What is the second number?
(b) What is the third number?
(c) How much greater is the third number than the first number?

Answers:
(a) ________________________
(b) ________________________
(c) ________________________

35. A bookshelf has 5 shelves. Each shelf can hold 38 books. [4]

(a) How many books can the bookshelf hold in total?
(b) If there are 145 books to be placed on the shelves, how many more books can the bookshelf hold?
(c) If each book costs $12, what is the total cost of 145 books?

Answers:
(a) ________________________
(b) ________________________
(c) ________________________

END OF PAPER
Total Marks: 100

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Answers

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: (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 42,678 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: (2) 34,500 [2]

Explanation: Numbers from 34,500 to 35,499 round to 35,000 when rounded to the nearest thousand. 34,500 is the smallest number in this range.

5. Answer: (1) 87,526 [2]

Explanation: 84,000 + 3,000 = 87,000; 87,000 + 500 = 87,500; 87,500 + 20 = 87,520; 87,520 + 6 = 87,526.

6. Answer: (1) 44,154 [2]

Explanation: 72,500 − 28,346 = 44,154.
Working:

  72,500
- 28,346
--------
  44,154

7. Answer: (1) 6,120 [2]

Explanation: 408 × 15 = 408 × (10 + 5) = 4,080 + 2,040 = 6,120.

8. Answer: (2) 9,877 [2]

Explanation: Number = (Divisor × Quotient) + Remainder = (8 × 1,234) + 5 = 9,872 + 5 = 9,877.

9. Answer: (2) 6 [2]

Explanation: Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. Among the options, only 6 is a factor (84 ÷ 6 = 14).

10. Answer: (1) 12, 24, 36 [2]

Explanation: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36...
Multiples of 6: 6, 12, 18, 24, 30, 36...
Common multiples: 12, 24, 36, 48... The first three are 12, 24, 36.

SECTION B: Short Answer Questions (40 marks)

11. Answer: 64,307 [2]

Explanation: "Sixty-four thousand" = 64,000; "three hundred" = 300; "seven" = 7. Total = 64,000 + 300 + 7 = 64,307.

12. Answer: ten thousands [2]

Explanation: In 92,507, the digits are: 9 (ten thousands), 2 (thousands), 5 (hundreds), 0 (tens), 7 (ones). The digit 9 is in the ten thousands place.

13. Answer: 3,000 [2]

Explanation: In 43,821, the digit 3 is in the thousands place. Its value is 3 × 1,000 = 3,000.

14. Answer: 59,000 [2]

Explanation: To round 58,943 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. Answer: 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. Answer: 67,042 ; 67,240 ; 67,402 ; 67,420 [2]

Explanation: Compare thousands (all 67), then hundreds: 0 < 2 < 4. For 67,402 and 67,420, compare tens: 0 < 2. Order: 67,042 < 67,240 < 67,402 < 67,420.

17. Answer: 47,000 [2]

Explanation: The pattern decreases by 500 each time: 48,500 → 48,000 → 47,500 → 47,000 → 46,500.

18. Answer: 60,389 [2]

Explanation: 56,000 + 4,000 = 60,000; 60,000 + 300 = 60,300; 60,300 + 80 = 60,380; 60,380 + 9 = 60,389.

19. Answer: 64,111 [2]

Explanation:

  38,427
+ 25,684
--------
  64,111

20. Answer: 31,241 [2]

Explanation:

  50,000
- 18,759
--------
  31,241

21. Answer: 7,452 [2]

Explanation: 324 × 23 = 324 × (20 + 3) = 6,480 + 972 = 7,452.
Or by long multiplication:

    324
  ×  23
  -----
    972  (324 × 3)
  6480   (324 × 20)
  -----
  7,452

22. Answer: 1,456 [2]

Explanation: 8,736 ÷ 6 = 1,456.
Check: 1,456 × 6 = 8,736.

23. Answer: 5,365 [2]

Explanation: 145 × 37 = 145 × (30 + 7) = 4,350 + 1,015 = 5,365.
Or by long multiplication:

    145
  ×  37
  -----
   1015  (145 × 7)
   4350  (145 × 30)
  -----
   5365

24. Answer: 1, 2, 3, 4, 6, 9, 12, 18, 36 [2]

Explanation: Factors of 36 come in pairs: 1×36, 2×18, 3×12, 4×9, 6×6. List in order: 1, 2, 3, 4, 6, 9, 12, 18, 36.

25. Answer: 40, 80 [2]

Explanation: Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80...
Common multiples: 40, 80, 120... The first two are 40 and 80.

SECTION C: Long Answer Questions (40 marks)

26. [4]

(a) Answer: 48,000 [1]
Explanation: January visitors = 48,235. Hundreds digit is 2 (< 5), so round down to 48,000.

(b) Answer: 2,533 [1]
Explanation: February (52,187) − March (49,654) = 2,533.

  52,187
- 49,654
--------
   2,533

(c) Answer: 201,405 [1]
Explanation: 48,235 + 52,187 + 49,654 + 51,329 = 201,405.

  48,235
  52,187
  49,654
+ 51,329
--------
 201,405

(d) Answer: Two hundred and one thousand, four hundred and five [1]
Explanation: 201,405 in words: "Two hundred and one thousand, four hundred and five".

27. [4]

(a) Answer: 9,685 [1]
Explanation: February = January + 1,235 = 8,450 + 1,235 = 9,685.

(b) Answer: 19,370 [1]
Explanation: March = 2 × February = 2 × 9,685 = 19,370.

(c) Answer: 37,505 [1]
Explanation: Total = 8,450 + 9,685 + 19,370 = 37,505.

   8,450
   9,685
+ 19,370
--------
  37,505

28. [4]

**(a) Answer: $6,340 [1]** **Explanation:** Sofa set ($ 3,850) + Dining table ( $2,490) =$ 6,340.

**(b) Answer: $38,660 [1]** **Explanation:** Remaining =$ 45,000 − $6,340 =$ 38,660.

**(c) Answer: $9,665 [1]** **Explanation:** Each child receives =$ 38,660 ÷ 4 = $9,665. Check:$ 9,665 × 4 = $38,660.

29. [4]

(a) Answer: 432 [1]
Explanation: Students per class = 3,456 ÷ 8 = 432.

(b) Answer: 72 [1]
Explanation: Students per group = 432 ÷ 6 = 72.

(c) Answer: 10,368 [1]
Explanation: Total pencils = 3,456 × 3 = 10,368.

30. [4]

(a) Answer: 8,641 [1]
Explanation: Number = (7 × 1,234) + 3 = 8,638 + 3 = 8,641.

(b) Answer: 1 [1]
Explanation: 8,641 ÷ 6 = 1,440 remainder 1.
Check: 1,440 × 6 = 8,640; 8,641 − 8,640 = 1.

31. [4]

(a) Answer: 294 [1]
Explanation: Other number = 12,348 ÷ 42 = 294.
Check: 294 × 42 = 12,348.

(b) Answer: 336 [1]
Explanation: Sum = 42 + 294 = 336.

32. [4]

(a) Answer: 418 m [1]
Explanation: Perimeter = 2 × (length + breadth) = 2 × (125 + 84) = 2 × 209 = 418 m.

(b) Answer: 10,500 m² [1]
Explanation: Area = length × breadth = 125 × 84 = 10,500 m².
Working: 125 × 84 = 125 × (80 + 4) = 10,000 + 500 = 10,500.

**(c) Answer: $6,270 [1]** **Explanation:** Cost = Perimeter ×$ 15 = 418 × 15 = $6,270.
Working: 418 × 15 = 418 × (10 + 5) = 4,180 + 2,090 = 6,270.

33. [4]

(a) Answer: 98,521 [1]
Explanation: Arrange digits in descending order: 9, 8, 5, 2, 1 → 98,521.

(b) Answer: Ninety-eight thousand, five hundred and twenty-one [1]
Explanation: 98,521 in words.

(c) Answer: 100,000 [1]
Explanation: 98,521 rounded to the nearest ten thousand: ten thousands digit is 9, thousands digit is 8 (≥ 5), so round up to 100,000.

34. [4]

(a) Answer: 15,801 [1]
Explanation: Second number = First number + 3,456 = 12,345 + 3,456 = 15,801.

(b) Answer: 19,854 [1]
Explanation: Third number = Total − First − Second = 48,000 − 12,345 − 15,801 = 19,854.
Check: 12,345 + 15,801 + 19,854 = 48,000.

(c) Answer: 7,509 [1]
Explanation: Difference = Third − First = 19,854 − 12,345 = 7,509.

35. [4]

(a) Answer: 190 [1]
Explanation: Total capacity = 5 shelves × 38 books = 190 books.

(b) Answer: 45 [1]
Explanation: Remaining capacity = 190 − 145 = 45 books.

**(c) Answer: $1,740 [1]** **Explanation:** Total cost = 145 ×$ 12 = $1,740.
Working: 145 × 12 = 145 × (10 + 2) = 1,450 + 290 = 1,740.

END OF ANSWER KEY
Total Marks: 100