Whole Numbers

34 Grade 6 Mathematics questions on Whole Numbers, with worked marking schemes. 34 questions are available on this topic in full.

1. Question 1

   1 mark

   A farmer had 2,156 chicks. They were distributed equally among 15 families. How many more chicks will the farmer add for all families to get an equal share?

   A. 143

   B. 11

   C. 144

   D. 4

   (1 mark)

   Marking scheme

   D. $4$ — divide to find the equal share: $2,156÷15=143$ remainder $11$. Those $11$ left over are not enough for one more each, so the farmer needs $15-11=4$ more chicks to make another full round. B is the remainder itself and A is the share each family already got.

2. Question 2

   1 mark

   Divide 984,600 by 100.

   A. 984.6

   B. 98,460

   C. 9,846

   D. 98.46

   (1 mark)

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3. Question 3

   1 mark

   A farmer had 2,156 chicks. They were distributed equally among 15 families. How many more chicks will the farmer add for all families to get an equal share?

   A. 143

   B. 144

   C. 11

   D. 4

   Marking scheme

   D. $4$ — divide to find the equal share: $2,156÷15=143$ remainder $11$. Those $11$ left over are not enough for one more each, so the farmer needs $15-11=4$ more chicks to make another full round. C is the remainder itself and A is the share each family already got.

4. Question 4

   1 mark

   In a number, the millions digit is 3, the thousands digit is 7, and all other digits are 0. What is the number?

   A. 3,070,000

   B. 3,007,000

   C. 3,700,000

   D. 307,000

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5. Question 5

   1 mark

   What is 8,765,432 − 3,456,789?

   A. 5,318,643

   B. 5,308,643

   C. 5,208,643

   D. 5,308,743

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6. Question 6

   1 mark

   What is the next number in the pattern: 1, 4, 9, 16, 25, ___?

   A. 30

   B. 35

   C. 49

   D. 36

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7. Question 7

   1 mark

   Work out: 456 × 203

   A. 92,468

   B. 93,568

   C. 92,568

   D. 91,568

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8. Question 8

   1 mark

   Which of the following is divisible by 9?

   A. 4,517

   B. 4,520

   C. 4,519

   D. 4,518

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9. Question 9

   1 mark

   What is the square of 25?

   A. 625

   B. 525

   C. 250

   D. 125

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10. Question 10

    1 mark

    The sum of two numbers is 5,600 and their difference is 1,200. What is the larger number?

    A. 4,400

    B. 4,800

    C. 3,400

    D. 2,200

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11. Question 11

    1 mark

    Round 4,567,890 to the nearest million.

    A. 4,600,000

    B. 4,000,000

    C. 5,000,000

    D. 4,500,000

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12. Question 12

    1 mark

    What is the place value of 6 in the number 3,645,210?

    A. Hundred thousands

    B. Millions

    C. Thousands

    D. Ten thousands

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13. Question 13

    1 mark

    What is the place value of digit 5 in the number 345,678?

    A. Ten thousands

    B. Tens

    C. Hundreds

    D. Thousands

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14. Question 14

    1 mark

    How many thousands are in 2,450,000?

    A. 24,500

    B. 245

    C. 24.5

    D. 2,450

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15. Question 15

    1 mark

    A number rounded to the nearest ten thousand is 60,000. Which of these could be the number?

    A. 54,123

    B. 65,001

    C. 57,382

    D. 53,400

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16. Question 16

    1 mark

    How many times is the value of 4 in 4,832 greater than the value of 4 in 1,456?

    A. 100

    B. 10

    C. 4

    D. 1,000

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17. Question 17

    1 mark

    What is 72 × 99?

    A. 7,128

    B. 7,028

    C. 7,228

    D. 7,218

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18. Question 18

    1 mark

    Write 5,000,000 + 400,000 + 30,000 + 200 + 8 in short.

    A. 5,430,208

    B. 5,430,280

    C. 5,043,208

    D. 543,208

    (1 mark)

    Marking scheme

    A. $5,430,208$ — read the places in order, and note there are no ten-thousands or tens given, so those columns take zeros: $5,430,208$. Holding those places with zeros is the whole difficulty.

19. Question 19

    1 mark

    Which number is the greatest?

    A. 9,876,453

    B. 9,876,534

    C. 9,867,543

    D. 9,876,543

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20. Question 20

    1 mark

    Arrange in descending order: 3,456,789; 3,465,789; 3,456,798; 3,456,879.

    A. 3,465,789; 3,456,789; 3,456,879; 3,456,798

    B. 3,456,789; 3,456,798; 3,456,879; 3,465,789

    C. 3,465,789; 3,456,879; 3,456,798; 3,456,789

    D. 3,456,879; 3,465,789; 3,456,798; 3,456,789

    (1 mark)

    Marking scheme

    C. $3,465,789$; $3,456,879$; $3,456,798$; $3,456,789$ — all start $3,4$, and $65$ beats $56$, so that one leads. The rest are split by the digits further along. 'Descending' means largest first.

21. Question 21

    1 mark

    Find the square root of 196.

    A. 12

    B. 13

    C. 16

    D. 14

    (1 mark)

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22. Question 22

    1 mark

    A school has 864 pupils. They are to be arranged in rows of 24. How many rows will there be?

    A. 38

    B. 36

    C. 34

    D. 40

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23. Question 23

    1 mark

    The total value of digit 3 in 7,346,052 is:

    A. 30,000

    B. 3,000,000

    C. 3,000

    D. 300,000

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24. Question 24

    1 mark

    A farmer had 2,156 chicks. They were distributed equally among 15 families. How many more chicks will the farmer add for all families to get an equal share?

    A. 143

    B. 144

    C. 11

    D. 4

    Marking scheme

    D. $4$ — divide to find the equal share: $2,156÷15=143$ remainder $11$. Those $11$ left over are not enough for one more each, so the farmer needs $15-11=4$ more chicks to make another full round. C is the remainder itself and A is the share each family already got.

25. Question 25

    1 mark

    What is the place value of digit 5 in the number 345,678?

    A. Ten thousands

    B. Tens

    C. Hundreds

    D. Thousands

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26. Question 26

    1 mark

    Round 4,567 to the nearest hundred.

    A. 4,570

    B. 5,000

    C. 4,500

    D. 4,600

    Marking scheme

    D. $4,600$ — 'nearest hundred' keeps the hundreds digit. Look at the tens digit, $6$, which is $5$ or more, so the $5$ hundreds rounds up to $6$. C rounds down and B rounds to the nearest thousand instead.

27. Question 27

    1 mark

    What is the GCD of 24 and 36?

    A. 6

    B. 4

    C. 24

    D. 12

    (1 mark)

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28. Question 28

    1 mark

    What is the product of 345 and 67?

    A. 22,115

    B. 23,015

    C. 23,215

    D. 23,115

    (1 mark)

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29. Question 29

    1 mark

    Express 360 as a product of its prime factors.

    A. 2³ × 3² × 5

    B. 2³ × 3 × 5²

    C. 2² × 3² × 5

    D. 2 × 3² × 5²

    (1 mark)

    Marking scheme

    A. $2^3\times 3^2\times 5$ — divide by primes repeatedly: $360=8\times 45$, and $8=2^3$ while $45=3^2\times 5$. Check: $8\times 9\times 5=360$. The other options come to $180$, $600$ and $450$.

30. Question 30

    1 mark

    Work out: 50,400 ÷ 72

    A. 600

    B. 720

    C. 800

    D. 700

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31. Question 31

    1 mark

    Round 4,567 to the nearest hundred.

    A. 4,570

    B. 5,000

    C. 4,500

    D. 4,600

    Marking scheme

    D. $4,600$ — 'nearest hundred' keeps the hundreds digit. Look at the tens digit, $6$, which is $5$ or more, so the $5$ hundreds rounds up to $6$. C rounds down and B rounds to the nearest thousand instead.

32. Question 32

    1 mark

    What is the LCM of 6 and 8?

    A. 16

    B. 48

    C. 12

    D. 24

    (1 mark)

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33. Question 33

    1 mark

    Work out: 1,000,000 − 567,890

    A. 432,210

    B. 432,110

    C. 433,110

    D. 432,010

    (1 mark)

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34. Question 34

    1 mark

    Which number is both a factor of 72 and a multiple of 6?

    A. 7

    B. 36

    C. 48

    D. 5

    (1 mark)

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