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Primary 5 Mathematics Practice Paper 5

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TuitionGoWhere Practice Paper - Mathematics Primary 5 (Answer Key)

Subject: Mathematics
Level: Primary 5
Paper: Practice Paper 5 (Whole Numbers)
Total Marks: 50


Section A: Multiple-Choice Questions (10 marks)

1. Answer: (2) 700,000
Explanation: In 4,728,591, the digit 7 is in the hundred thousands place. Its value is 7 × 100,000 = 700,000.
Common mistake: Confusing hundred thousands (700,000) with ten thousands (70,000).

2. Answer: (2) 3,850,000
Explanation: To round to the nearest ten thousand, look at the thousands digit (7). Since 7 ≥ 5, round up the ten thousands digit from 4 to 5. The number becomes 3,850,000.
Working: 3,847,265 → ten thousands digit is 4, thousands digit is 7 → round up → 3,850,000.

3. Answer: (4) 2,465,879
Explanation: Compare digits from left to right (millions → hundred thousands → ten thousands → thousands → hundreds → tens → ones). All numbers have 2 millions and 4 hundred thousands. At ten thousands: 6 > 5, so options (2) and (4) are larger. At hundreds: 8 > 7, so (4) 2,465,879 is the greatest.

4. Answer: (1) 5,346,829
Explanation: Add by place value:
5,000,000 + 300,000 = 5,300,000
5,300,000 + 40,000 = 5,340,000
5,340,000 + 6,000 = 5,346,000
5,346,000 + 800 = 5,346,800
5,346,800 + 20 = 5,346,820
5,346,820 + 9 = 5,346,829

5. Answer: (3) 8,500,000
Explanation: To round to the nearest hundred thousand, look at the ten thousands digit (5). Since 5 ≥ 5, round up the hundred thousands digit from 4 to 5. The number becomes 8,500,000.
Working: 8,452,300 → hundred thousands digit is 4, ten thousands digit is 5 → round up → 8,500,000.


Section B: Short Answer Questions (20 marks)

6. Answer: Six million, forty thousand, three hundred and five
Explanation: Group digits in threes from right: 6,040,305. Read each group with its place value: 6 million, 040 thousand (forty thousand), 305 (three hundred and five).
Note: "And" is used before the last two digits (tens and ones) in British/Singapore convention.

7. Answer: 4,350,000
Explanation: The pattern decreases by 50,000 each time.
4,500,000 − 50,000 = 4,450,000
4,450,000 − 50,000 = 4,400,000
4,400,000 − 50,000 = 4,350,000
4,350,000 − 50,000 = 4,300,000 ✓

8. Answer: 3,517,381
Working:
    7,000,000
− 3,482,619


    3,517,381
Check: 3,517,381 + 3,482,619 = 7,000,000 ✓

9. Answer: 1,262,400
Working: 4,208 × 300 = 4,208 × 3 × 100 = 12,624 × 100 = 1,262,400
Alternative: 4,208 × 3 = 12,624, then add two zeros → 1,262,400.

10. Answer: 7,098
Working: 5,678,400 ÷ 800 = 5,678,400 ÷ 8 ÷ 100 = 709,800 ÷ 100 = 7,098
Check: 7,098 × 800 = 7,098 × 8 × 100 = 56,784 × 100 = 5,678,400 ✓

11. Answer: 469,135
Working:
    2,345,678
− 1,876,543


     469,135
Check: 469,135 + 1,876,543 = 2,345,678 ✓

12. Answer: 268,200
Working: 6,705 × 40 = 6,705 × 4 × 10 = 26,820 × 10 = 268,200

13. Answer: 0
Explanation: A number is divisible by 9 if the sum of its digits is divisible by 9.
Sum of digits: 9 + 8 + 7 + 6 + 5 + 4 + 3 = 42. 42 ÷ 9 = 4 remainder 6.
Wait — let's recalculate: 9+8+7+6+5+4+3 = 42. 42 is not divisible by 9 (9×4=36, 9×5=45).
Correction: 9,876,543 ÷ 9 = 1,097,393 remainder 6.
Answer: 6
Working: 9,876,543 ÷ 9 = 1,097,393 R 6.
Divisibility rule check: Sum of digits = 42. 42 ÷ 9 = 4 R 6. Remainder = 6. ✓

14. Answer: 5,060,708 ; 5,060,870 ; 5,067,080 ; 5,067,800
Explanation: Compare from left to right:
All have 5,060,000 or 5,067,000.
5,060,708 < 5,060,870 (compare hundreds: 7 < 8)
5,060,870 < 5,067,080 (compare thousands: 0 < 7)
5,067,080 < 5,067,800 (compare hundreds: 0 < 8)

15. Answer: 4,500,499
Explanation: When rounding to the nearest thousand, numbers from 4,499,500 to 4,500,499 round to 4,500,000. The greatest is 4,500,499.
Check: 4,500,499 → thousands digit is 0, hundreds digit is 4 (< 5) → rounds down to 4,500,000.
4,500,500 → hundreds digit is 5 (≥ 5) → rounds up to 4,501,000.


Section C: Structured / Long-Answer Questions (20 marks)

16.
(a) Amount spent altogether:
2,345,678+2,345,678 + 1,876,543 = $4,222,221
Working:
    2,345,678
+ 1,876,543


    4,222,221

(b) Money left:
8,500,0008,500,000 − 4,222,221 = $4,277,779
Working:
    8,500,000
− 4,222,221


    4,277,779

Ans: (a) 4,222,221(b)4,222,221 (b) 4,277,779
[2 marks for (a), 2 marks for (b)]


17.
(a) Empty seats:
45,678 − 38,456 = 7,222
Working:
    45,678
− 38,456


     7,222

(b) Money collected:
38,456 × 120=38,456×12×10=461,472×10=120 = 38,456 × 12 × 10 = 461,472 × 10 = 4,614,720
Working:
      38,456
×      120


         0
     769,120 (38,456 × 20)
  3,845,600 (38,456 × 100)


  4,614,720

Ans: (a) 7,222 (b) $4,614,720
[2 marks for (a), 2 marks for (b)]


18.
(a) Toys in 25 days:
12,345 × 25 = 12,345 × 100 ÷ 4 = 1,234,500 ÷ 4 = 308,625
Alternative: 12,345 × 20 = 246,900; 12,345 × 5 = 61,725; Total = 308,625

(b) Boxes needed:
308,625 ÷ 50 = 308,625 ÷ 5 ÷ 10 = 61,725 ÷ 10 = 6,172.5
Since we cannot have half a box, we need 6,173 boxes (6,172 full boxes + 1 box for the remaining 25 toys).
Working: 308,625 ÷ 50 = 6,172 remainder 25 → 6,173 boxes.

Ans: (a) 308,625 (b) 6,173
[2 marks for (a), 2 marks for (b)]
Note: For (b), 1 mark for correct division (6,172.5 or 6,172 R 25), 1 mark for correct interpretation (6,173 boxes).


19.
First number: 245,678
Second number: 245,678 + 154,321 = 399,999
Sum of first two: 245,678 + 399,999 = 645,677
Third number: 1,000,000 − 645,677 = 354,323

Working:
    245,678
+ 154,321


    399,999 (second number)

    245,678
+ 399,999


    645,677 (sum of first two)

  1,000,000
−  645,677


    354,323 (third number)

Check: 245,678 + 399,999 + 354,323 = 1,000,000 ✓

Ans: 354,323
[4 marks: 1 mark for second number, 1 mark for sum of first two, 1 mark for subtraction, 1 mark for correct answer]


20.
(a) Total pages:
456 × 1,234
Working:
       456
×  1,234


    1,824 (456 × 4)
   13,680 (456 × 30)
   91,200 (456 × 200)
  456,000 (456 × 1,000)


  562,704

(b) Days to read one copy:
456 ÷ 50 = 9 remainder 6 → 10 days (9 full days + 1 day for the last 6 pages)
Working: 50 × 9 = 450 pages in 9 days. 6 pages left → 1 more day. Total = 10 days.

Ans: (a) 562,704 (b) 10 days
[2 marks for (a), 2 marks for (b)]
Note: For (b), 1 mark for division (9 R 6 or 9.12), 1 mark for correct interpretation (10 days).


END OF ANSWER KEY
Total Marks: 50