Primary 4 Mathematics Semestral Assessment 2 (End of Year) Paper 3

TuitionGoWhere Practice Paper - Mathematics Primary 4 (Answer Key)

TuitionGoWhere Exam Practice (AI)

Subject: Mathematics
Level: Primary 4
Paper: SA2 Version 3
Total Marks: 80

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SECTION A: Multiple-Choice Questions (20 marks)

1. In the number 68,429, which digit is in the thousands place? [2]

Answer: (2) 8

Explanation:
The place values from right to left are: ones, tens, hundreds, thousands, ten thousands.
In 68,429:

• 9 is in the ones place
• 2 is in the tens place
• 4 is in the hundreds place
• 8 is in the thousands place
• 6 is in the ten thousands place

Common mistake: Confusing "thousands" with "ten thousands" or "hundreds".

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2. What does the digit 7 stand for in 57,381? [2]

Answer: (4) 7000

Explanation:
In 57,381:

• 1 is in the ones place → 1
• 8 is in the tens place → 80
• 3 is in the hundreds place → 300
• 7 is in the thousands place → 7,000
• 5 is in the ten thousands place → 50,000

The digit 7 stands for 7 thousands = 7,000.

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3. Round 42,756 to the nearest hundred. [2]

Answer: (2) 42,800

Explanation:
To round to the nearest hundred, look at the tens digit.
42,756 → tens digit is 5.
Since the tens digit is 5 or more, round up the hundreds digit.
Hundreds digit is 7 → becomes 8.
42,756 ≈ 42,800 (to the nearest hundred).

Common mistake: Rounding to the nearest thousand (43,000) or ten (42,760) instead.

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

Answer: (4) 35,499

Explanation:
When rounding to the nearest thousand, look at the hundreds digit.

• 34,499 → hundreds digit 4 → rounds down to 34,000 ✗
• 34,500 → hundreds digit 5 → rounds up to 35,000 ✓ (but this is the smallest)
• 35,500 → hundreds digit 5 → rounds up to 36,000 ✗
• 35,499 → hundreds digit 4 → rounds down to 35,000 ✓

The question asks for a number that rounds to 35,000. Both 34,500 and 35,499 round to 35,000, but only 35,499 is among the options.

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5. Find the value of 24,583 + 15,417. [2]

Answer: (2) 40,000

Working:

  24,583
+ 15,417
--------
  40,000

583 + 417 = 1,000, so 24,000 + 15,000 + 1,000 = 40,000.

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6. Find the value of 80,000 − 27,345. [2]

Answer: (1) 52,655

Working:

  80,000
- 27,345
--------
  52,655

Subtract from right to left with regrouping:
0 - 5 → borrow from thousands, etc.
Check: 52,655 + 27,345 = 80,000 ✓

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7. What is the product of 324 and 18? [2]

Answer: (1) 5,832

Working:

    324
  ×  18
  -----
   2592  (324 × 8)
  3240   (324 × 10)
  -----
   5832

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

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8. Divide 6,732 by 6. What is the quotient? [2]

Answer: (1) 1,122

Working:
6,732 ÷ 6 = 1,122
Check: 1,122 × 6 = 6,732 ✓

Long division:
6 | 6,732

• 6 (6 × 1 = 6)

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07  
- 6    (6 × 1 = 6)  
---  
 13  
- 12   (6 × 2 = 12)  
---  
  12  
 - 12  (6 × 2 = 12)  
 ---  
   0

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9. A number when divided by 8 gives a quotient of 1,245 and a remainder of 3. What is the number? [2]

Answer: (1) 9,963

Working:
Number = (Divisor × Quotient) + Remainder
Number = (8 × 1,245) + 3
8 × 1,245 = 9,960
9,960 + 3 = 9,963

Check: 9,963 ÷ 8 = 1,245 remainder 3 ✓

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10. Which of the following has the same value as 45 × 28? [2]

Answer: (2) 45 × 20 + 45 × 8

Explanation:
Using the distributive property:
45 × 28 = 45 × (20 + 8) = 45 × 20 + 45 × 8

Check:
45 × 20 = 900
45 × 8 = 360
900 + 360 = 1,260
45 × 28 = 1,260 ✓

Option (1): 45 × 20 + 8 = 900 + 8 = 908 ✗
Option (3): 40 × 28 + 5 = 1,120 + 5 = 1,125 ✗
Option (4): 40 × 28 + 5 × 8 = 1,120 + 40 = 1,160 ✗

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SECTION B: Short-Answer Questions (25 marks)

11. Write sixty-four thousand and nine in numerals. [1]

Answer: 64,009

Explanation:
"Sixty-four thousand" = 64,000
"and nine" = 9
64,000 + 9 = 64,009

Common mistake: Writing 64,900 or 64,090 (confusing place values).

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12. In 83,507, the digit 3 is in the ________________ place. [1]

Answer: thousands

Explanation:
Place values from right: ones (7), tens (0), hundreds (5), thousands (3), ten thousands (8).

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13. Round 59,999 to the nearest ten. [1]

Answer: 60,000

Explanation:
59,999 → ones digit is 9 (≥ 5), so round up the tens digit.
Tens digit is 9 → becomes 10, so carry 1 to hundreds.
Hundreds digit is 9 → becomes 10, carry 1 to thousands.
Thousands digit is 9 → becomes 10, carry 1 to ten thousands.
Ten thousands digit is 5 → becomes 6.
Result: 60,000.

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14. Find the value of 37,248 + 25,752. [1]

Answer: 63,000

Working:
37,248 + 25,752 = 63,000
(248 + 752 = 1,000; 37,000 + 25,000 + 1,000 = 63,000)

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15. Find the value of 90,000 − 48,327. [1]

Answer: 41,673

Working:

  90,000
- 48,327
--------
  41,673

Check: 41,673 + 48,327 = 90,000 ✓

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16. Multiply 406 by 27. [2]

Answer: 10,962

Working:

    406
  ×  27
  -----
   2842  (406 × 7)
  8120   (406 × 20)
  -----
  10962

406 × 27 = 406 × (20 + 7) = 8,120 + 2,842 = 10,962.

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17. Divide 8,547 by 7. [2]

Answer: 1,221

Working:
8,547 ÷ 7 = 1,221
Check: 1,221 × 7 = 8,547 ✓

Long division:
7 | 8,547

• 7 (7 × 1 = 7)

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15

• 14 (7 × 2 = 14)

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14  

• 14 (7 × 2 = 14)

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 07  
- 07  (7 × 1 = 7)  
---  
  0

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18. Find the value of 245 × 36. [2]

Answer: 8,820

Working:

    245
  ×  36
  -----
   1470  (245 × 6)
  7350   (245 × 30)
  -----
   8820

245 × 36 = 245 × (30 + 6) = 7,350 + 1,470 = 8,820.

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

Answer: 4,549

Explanation:
When rounding to the nearest hundred, numbers from 4,450 to 4,549 round to 4,500.

• 4,450 → hundreds digit 4, tens digit 5 → rounds up to 4,500
• 4,549 → hundreds digit 5, tens digit 4 → rounds down to 4,500
• 4,550 → hundreds digit 5, tens digit 5 → rounds up to 4,600

The greatest possible value is 4,549.

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20. Complete the number pattern. [2]

72,500, 71,500, 70,500, __________, 68,500 Answer: 69,500

Explanation:
The pattern decreases by 1,000 each time:
72,500 − 1,000 = 71,500
71,500 − 1,000 = 70,500
70,500 − 1,000 = 69,500
69,500 − 1,000 = 68,500 ✓

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SECTION C: Long-Answer / Word Problems (35 marks)

21. Mr Tan had 45,000 stickers. He gave 12,345 stickers to his son and 8,765 stickers to his daughter. How many stickers had he left? [3]

Working:
Total given away = 12,345 + 8,765 = 21,110
Stickers left = 45,000 − 21,110 = 23,890

Alternative method:
45,000 − 12,345 = 32,655
32,655 − 8,765 = 23,890

Answer: 23,890 stickers

Mark breakdown:

• 1 mark for finding total given away (12,345 + 8,765 = 21,110)
• 1 mark for correct subtraction from 45,000
• 1 mark for correct final answer with unit

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22. A factory produced 3,456 toys in January. In February, it produced 1,234 more toys than in January. In March, it produced twice as many toys as in February. How many toys did the factory produce in March? [4]

Working:
February production = 3,456 + 1,234 = 4,690
March production = 4,690 × 2 = 9,380

Answer: 9,380 toys

Mark breakdown:

• 1 mark for finding February production (3,456 + 1,234 = 4,690)
• 1 mark for understanding "twice as many" means × 2
• 1 mark for correct multiplication (4,690 × 2 = 9,380)
• 1 mark for correct final answer with unit

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23. There are 5,280 apples in a warehouse. They are packed into boxes of 8 apples each. Each box is sold for $12. How much money will be collected if all the boxes are sold? [4]

Working:
Number of boxes = 5,280 ÷ 8 = 660
Total money = 660 × $12 =$7,920

Answer: $7,920

Mark breakdown:

• 1 mark for correct division to find number of boxes (5,280 ÷ 8 = 660)
• 1 mark for understanding to multiply number of boxes by price per box
• 1 mark for correct multiplication (660 × 12 = 7,920)
• 1 mark for correct final answer with dollar sign

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24. A library has 42,350 books. 15,680 books are Chinese books. 12,470 books are Malay books. The rest are English books. How many more English books than Malay books are there? [4]

Working:
Total Chinese and Malay books = 15,680 + 12,470 = 28,150
English books = 42,350 − 28,150 = 14,200
Difference = 14,200 − 12,470 = 1,730

Answer: 1,730 more English books

Mark breakdown:

• 1 mark for finding total Chinese and Malay books (15,680 + 12,470 = 28,150)
• 1 mark for finding English books (42,350 − 28,150 = 14,200)
• 1 mark for finding the difference (14,200 − 12,470 = 1,730)
• 1 mark for correct final answer with "more English books"

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25. Mrs Lim bought 15 boxes of chocolates. Each box contained 24 chocolates. She repacked all the chocolates into packets of 6 chocolates each. She sold each packet for $5. How much money did she collect if all the packets were sold? [5]

Working:
Total chocolates = 15 × 24 = 360
Number of packets = 360 ÷ 6 = 60
Total money collected = 60 × $5 =$300

Answer: $300

Mark breakdown:

• 1 mark for finding total chocolates (15 × 24 = 360)
• 1 mark for finding number of packets (360 ÷ 6 = 60)
• 1 mark for understanding to multiply packets by price per packet
• 1 mark for correct multiplication (60 × 5 = 300)
• 1 mark for correct final answer with dollar sign

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END OF ANSWER KEY