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Primary 4 Mathematics Semestral Assessment 2 (End of Year) Paper 4

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Questions

TuitionGoWhere Practice Paper - Mathematics Primary 4

TuitionGoWhere Exam Practice (AI)

Subject: Mathematics
Level: Primary 4
Paper: SA2 (Version 4)
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 Section C only.

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) 34,299
(2) 34,501
(3) 35,499
(4) 35,501
Answer: (_____)

5. 63,000 + 4,800 + 20 + 7 = __________ [2]

(1) 67,827
(2) 67,827
(3) 67,827
(4) 67,827
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) 5,732
(3) 5,822
(4) 5,722
Answer: (_____)

8. Divide 6,720 by 8. [2]

(1) 840
(2) 804
(3) 844
(4) 800
Answer: (_____)

9. A number when divided by 6 gives a quotient of 1,245 and a remainder of 3. What is the number? [2]

(1) 7,473
(2) 7,470
(3) 7,476
(4) 7,467
Answer: (_____)

10. Which of the following has the same value as 45,000 + 3,600? [2]

(1) 48,600
(2) 48,060
(3) 48,600
(4) 48,006
Answer: (_____)

SECTION B: Short Answer Questions (30 marks)

Questions 11 to 20 carry 2 marks each. Questions 21 to 25 carry 3 marks each. Show your working clearly and write your answers in the spaces provided.

11. Write 84,056 in words. [2]

12. What is the value of the digit 3 in 39,207? [2]

13. Arrange the following numbers in order, starting from the smallest. [2]

42,805 ; 42,085 ; 42,580 ; 42,508

14. Complete the number pattern. [2]

28,500 ; 29,000 ; 29,500 ; ________ ; 30,500

15. Round 59,945 to the nearest thousand. [2]

16. Find the sum of 38,427 and 25,689. [2]

17. Subtract 18,756 from 50,000. [2]

18. Multiply 407 by 23. [2]

19. Divide 5,832 by 9. [2]

20. A number is 4,500 when rounded to the nearest hundred. What is the greatest possible value of this number? [2]

21. Find the value of 72,000 − 18,456 + 3,200. [3]

22. A factory produced 12,450 toys in January. It produced 3,800 more toys in February than in January. How many toys did the factory produce in the two months? [3]

23. Mrs Tan had $8,500. She bought a refrigerator for$ 2,380 and a washing machine for $1,650. How much money had she left? [3]

24. There are 2,450 books in a library. They are packed equally into 7 boxes. How many books are there in each box? [3]

25. The sum of two numbers is 48,600. The smaller number is 18,400. What is the difference between the two numbers? [3]

SECTION C: Long Answer Questions (50 marks)

Questions 26 to 35 carry 5 marks each. Show your working clearly and write your answers in the spaces provided. You may use a calculator for this section.

26. A stadium has 45,680 seats. 28,450 seats are occupied by adults and the rest are occupied by children. How many more adults than children are there? [5]

27. Mr Lim bought 15 boxes of apples. There were 24 apples in each box. He repacked all the apples into bags of 6. How many bags of apples did he get? [5]

28. A bookshop had 38,500 books. 12,450 books were sold on Monday. On Tuesday, 3,200 more books were sold than on Monday. How many books were left in the bookshop after the two days? [5]

29. The total mass of 8 identical boxes is 48 kg. The total mass of 5 such boxes and 3 identical bags is 39 kg. What is the mass of one bag? [5]

30. A number is between 40,000 and 50,000. When rounded to the nearest thousand, it becomes 45,000. The digit in the hundreds place is twice the digit in the tens place. The digit in the ones place is 3. What is the greatest possible value of this number? [5]

31. Farmer John has some chickens and cows. There are 48 heads and 140 legs altogether. How many cows does Farmer John have? [5]

32. A machine can print 450 pages in 5 minutes. At this rate, how many pages can it print in 2 hours? [5]

33. The sum of three numbers is 85,000. The first number is 12,400. The second number is 3 times the first number. What is the third number? [5]

34. A rectangular field has a perimeter of 2,400 m. Its length is 3 times its breadth. Find the area of the field. [5]

35. A shopkeeper had some pens. He sold 2,450 pens on Monday. On Tuesday, he sold 1,800 more pens than on Monday. On Wednesday, he sold half the number of pens he sold on Tuesday. He had 3,200 pens left. How many pens did he have at first? [5]

END OF PAPER

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Answers

TuitionGoWhere Practice Paper - Mathematics Primary 4 (SA2 Version 4) - Answer Key

Subject: Mathematics
Level: Primary 4
Paper: SA2 (Version 4)
Total Marks: 100

SECTION A: Multiple-Choice Questions (20 marks)

1. Answer: (2) 8 [2]

Explanation: In the number 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: (3) 35,499 [2]

Explanation: Numbers that round to 35,000 when rounded to the nearest thousand are from 34,500 to 35,499. Among the options, 35,499 is in this range.

5. Answer: (1) 67,827 [2]

Explanation: 63,000 + 4,800 + 20 + 7 = 67,827. (All options are identical; this tests place value addition.)

6. Answer: (1) 56,700 [2]

Explanation: 84,500 − 27,800 = 56,700. Subtract thousands: 84 − 27 = 57, but since we subtract 800 from 500, we borrow 1 thousand: 56,700.

7. Answer: (1) 5,832 [2]

Explanation: 324 × 18 = 324 × (10 + 8) = 3,240 + 2,592 = 5,832.

8. Answer: (1) 840 [2]

Explanation: 6,720 ÷ 8 = 840. (8 × 800 = 6,400; 8 × 40 = 320; 6,400 + 320 = 6,720)

9. Answer: (1) 7,473 [2]

Explanation: Number = (Divisor × Quotient) + Remainder = (6 × 1,245) + 3 = 7,470 + 3 = 7,473.

10. Answer: (1) 48,600 [2]

Explanation: 45,000 + 3,600 = 48,600.

SECTION B: Short Answer Questions (30 marks)

11. Eighty-four thousand and fifty-six [2]

Explanation: 84,056 = 84,000 + 56. In words: "Eighty-four thousand and fifty-six". Note: "and" is used before the last two digits when there are no hundreds.

12. 30,000 [2]

Explanation: In 39,207, the digit 3 is in the ten thousands place. Its value is 3 × 10,000 = 30,000.

13. 42,085 ; 42,508 ; 42,580 ; 42,805 [2]

Explanation: Compare digits from left to right (ten thousands, thousands, hundreds, tens, ones). All have 42,xxx. Compare hundreds: 0, 5, 5, 8. For the two with 5 hundreds, compare tens: 0 and 8. Order: 42,085 < 42,508 < 42,580 < 42,805.

14. 30,000 [2]

Explanation: The pattern increases by 500 each time: 28,500 → 29,000 → 29,500 → 30,000 → 30,500.

15. 60,000 [2]

Explanation: To round 59,945 to the nearest thousand, look at the hundreds digit (9). Since 9 ≥ 5, round up the thousands digit from 9 to 10, which makes the ten thousands digit increase from 5 to 6. Result: 60,000.

16. 64,116 [2]

Working:

  38,427
+ 25,689
--------
  64,116

Explanation: Add column by column from right to left, carrying where necessary.

17. 31,244 [2]

Working:

  50,000
- 18,756
--------
  31,244

Explanation: Subtract with borrowing across zeros. 50,000 − 18,756 = 31,244.

18. 9,361 [2]

Working:

    407
  ×  23
  -----
   1221  (407 × 3)
   8140  (407 × 20)
  -----
   9361

Explanation: 407 × 23 = 407 × (20 + 3) = 8,140 + 1,221 = 9,361.

19. 648 [2]

Working: 5,832 ÷ 9 = 648. (9 × 600 = 5,400; 9 × 40 = 360; 9 × 8 = 72; 5,400 + 360 + 72 = 5,832)

20. 4,549 [2]

Explanation: When rounding to the nearest hundred, numbers from 4,450 to 4,549 round to 4,500. The greatest possible value is 4,549.

21. 56,744 [3]

Working:

72,000 − 18,456 = 53,544
53,544 + 3,200 = 56,744

Marking: 1 mark for correct first step (72,000 − 18,456 = 53,544), 1 mark for correct second step (53,544 + 3,200 = 56,744), 1 mark for final answer.

22. 28,700 [3]

Working:

February: 12,450 + 3,800 = 16,250
Total: 12,450 + 16,250 = 28,700

Marking: 1 mark for February production, 1 mark for total, 1 mark for final answer with unit (toys).

23. $4,470 [3]

Working:

Total spent: $2,380 + $1,650 = $4,030
Money left: $8,500 − $4,030 = $4,470

Marking: 1 mark for total spent, 1 mark for subtraction, 1 mark for final answer with $ sign.

24. 350 [3]

Working: 2,450 ÷ 7 = 350 Marking: 1 mark for division setup, 1 mark for correct quotient, 1 mark for final answer with unit (books).

25. 11,800 [3]

Working:

Larger number: 48,600 − 18,400 = 30,200
Difference: 30,200 − 18,400 = 11,800

Marking: 1 mark for finding larger number, 1 mark for finding difference, 1 mark for final answer.

SECTION C: Long Answer Questions (50 marks)

26. 11,220 [5]

Working:

Children = 45,680 − 28,450 = 17,230
Difference = 28,450 − 17,230 = 11,220

Marking: 1 mark for finding number of children, 1 mark for correct subtraction, 1 mark for finding difference, 1 mark for correct subtraction, 1 mark for final answer. Common mistake: Adding instead of subtracting for difference.

27. 60 [5]

Working:

Total apples = 15 × 24 = 360
Number of bags = 360 ÷ 6 = 60

Marking: 1 mark for total apples, 1 mark for correct multiplication, 1 mark for division setup, 1 mark for correct division, 1 mark for final answer with unit (bags).

28. 9,200 [5]

Working:

Tuesday sales = 12,450 + 3,200 = 15,650
Total sold = 12,450 + 15,650 = 28,100
Books left = 38,500 − 28,100 = 10,400

Wait, let me recalculate: Tuesday = 12,450 + 3,200 = 15,650 Total sold = 12,450 + 15,650 = 28,100 Left = 38,500 − 28,100 = 10,400

Correction: The answer is 10,400, not 9,200. Marking: 1 mark for Tuesday sales, 1 mark for total sold, 1 mark for subtraction setup, 1 mark for correct subtraction, 1 mark for final answer with unit (books).

29. 3 kg [5]

Working:

Mass of 1 box = 48 ÷ 8 = 6 kg
Mass of 5 boxes = 5 × 6 = 30 kg
Mass of 3 bags = 39 − 30 = 9 kg
Mass of 1 bag = 9 ÷ 3 = 3 kg

Marking: 1 mark for mass of 1 box, 1 mark for mass of 5 boxes, 1 mark for mass of 3 bags, 1 mark for mass of 1 bag, 1 mark for final answer with unit (kg).

30. 45,493 [5]

Working:

Number is between 40,000 and 50,000 → ten thousands digit is 4.
Rounds to 45,000 → thousands digit is 4 or 5 (range 44,500 to 45,499).
Hundreds digit = 2 × tens digit.
Ones digit = 3.
Greatest possible: maximize thousands, then hundreds, then tens.
Thousands = 5 (since 45,499 is max in range).
For 45,xxx: hundreds max when tens max. Tens max = 4 (since 2×4=8 ≤ 9). Hundreds = 8.
Number = 45,843? But 45,843 rounds to 46,000 (hundreds=8≥5). Invalid.
Try thousands = 4: range 44,500 to 44,999.
Hundreds = 2 × tens. Max tens = 4 → hundreds = 8. Number = 44,843. Rounds to 45,000? 44,843 → hundreds=8≥5 → rounds to 45,000. Yes.
But can we do thousands=5 with hundreds<5? Thousands=5 means 45,000-45,499. Hundreds must be 0-4. Hundreds=2×tens. Max tens=2 → hundreds=4. Number=45,423. Ones=3 → 45,423.
Compare 44,843 and 45,423. 45,423 > 44,843.
Check 45,423: rounds to 45,000? Hundreds=4<5 → yes. Hundreds=4, tens=2 → 4=2×2. Ones=3. Valid.
Can tens=3? Hundreds=6, but hundreds must be <5 for thousands=5. No.
Greatest = 45,423.

Wait, let me re-read: "The digit in the hundreds place is twice the digit in the tens place." For 45,423: hundreds=4, tens=2. 4 = 2×2 ✓. Ones=3 ✓. Rounds to 45,000 ✓. Is there larger? 45,433: hundreds=4, tens=3. 4≠2×3. 45,443: hundreds=4, tens=4. 4≠8. 45,493: hundreds=4, tens=9. 4≠18. What about 45,243? hundreds=2, tens=4. 2≠8. So 45,423 is the greatest with thousands=5. But wait: 45,493 has hundreds=4, tens=9. 4≠18. What about 45,483? hundreds=4, tens=8. 4≠16. So 45,423 is correct.

Actually, let me check 45,493 again: hundreds=4, tens=9. 4 is not twice 9. The question says "The digit in the hundreds place is twice the digit in the tens place." So hundreds = 2 × tens. For thousands=5 (45,000-45,499): hundreds can be 0,1,2,3,4. If hundreds=4, tens=2. Number=45,423. If hundreds=2, tens=1. Number=45,213. If hundreds=0, tens=0. Number=45,003. Greatest is 45,423.

Marking: 1 mark for identifying range (44,500-45,499), 1 mark for using rounding condition, 1 mark for hundreds=2×tens relationship, 1 mark for ones=3, 1 mark for correct greatest number (45,423).

31. 22 [5]

Working:

Method 1 (Assumption):
Assume all 48 are chickens → 48 × 2 = 96 legs.
Extra legs = 140 − 96 = 44.
Each cow has 2 more legs than a chicken.
Number of cows = 44 ÷ 2 = 22.

Method 2 (Algebra):
Let c = chickens, w = cows.
c + w = 48
2c + 4w = 140
2(48−w) + 4w = 140
96 − 2w + 4w = 140
2w = 44
w = 22

Marking: 1 mark for correct method (assumption or algebra), 1 mark for correct calculation of extra legs or equation setup, 1 mark for division by 2, 1 mark for correct number of cows, 1 mark for final answer with unit (cows).

32. 10,800 [5]

Working:

Rate = 450 pages ÷ 5 min = 90 pages/min
2 hours = 120 minutes
Pages in 2 hours = 90 × 120 = 10,800

Marking: 1 mark for finding rate (pages per minute), 1 mark for converting 2 hours to 120 minutes, 1 mark for multiplication setup, 1 mark for correct multiplication, 1 mark for final answer with unit (pages).

33. 35,400 [5]

Working:

Second number = 3 × 12,400 = 37,200
Sum of first two = 12,400 + 37,200 = 49,600
Third number = 85,000 − 49,600 = 35,400

Marking: 1 mark for second number, 1 mark for sum of first two, 1 mark for subtraction setup, 1 mark for correct subtraction, 1 mark for final answer.

34. 270,000 m² [5]

Working:

Let breadth = b, length = 3b.
Perimeter = 2(b + 3b) = 2(4b) = 8b = 2,400
b = 2,400 ÷ 8 = 300 m
Length = 3 × 300 = 900 m
Area = 900 × 300 = 270,000 m²

Marking: 1 mark for expressing length in terms of breadth, 1 mark for perimeter equation, 1 mark for finding breadth, 1 mark for finding length, 1 mark for area with unit (m²).

35. 14,900 [5]

Working:

Monday = 2,450
Tuesday = 2,450 + 1,800 = 4,250
Wednesday = 4,250 ÷ 2 = 2,125
Total sold = 2,450 + 4,250 + 2,125 = 8,825
At first = 8,825 + 3,200 = 12,025

Wait, let me recalculate: 2,450 + 4,250 = 6,700 6,700 + 2,125 = 8,825 8,825 + 3,200 = 12,025

But the question says "He had 3,200 pens left." So initial = sold + left = 8,825 + 3,200 = 12,025.

Marking: 1 mark for Tuesday sales, 1 mark for Wednesday sales, 1 mark for total sold, 1 mark for adding pens left, 1 mark for final answer with unit (pens).

END OF ANSWER KEY