Decimals

24 Grade 6 Mathematics questions on Decimals, with worked marking schemes. 24 questions are available on this topic in full.

1. Question 1

   1 mark

   Work out: 6.04 − 2.367

   A. 3.773

   B. 3.673

   C. 3.573

   D. 4.673

   (1 mark)

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2. Question 2

   1 mark

   Arrange in ascending order: 2.45, 2.405, 2.54, 2.045

   A. 2.045, 2.45, 2.405, 2.54

   B. 2.54, 2.45, 2.405, 2.045

   C. 2.045, 2.405, 2.45, 2.54

   D. 2.405, 2.045, 2.45, 2.54

   (1 mark)

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3. Question 3

   1 mark

   Convert 35% to a decimal.

   A. 3.5

   B. 0.035

   C. 0.35

   D. 35

   (1 mark)

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4. Question 4

   1 mark

   What is 15% of 800?

   A. 160

   B. 80

   C. 120

   D. 150

   (1 mark)

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5. Question 5

   1 mark

   Multiply: 2.4 × 0.5

   A. 0.12

   B. 1.2

   C. 12

   D. 1.02

   (1 mark)

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6. Question 6

   1 mark

   Divide: 4.56 ÷ 1.2

   A. 3.9

   B. 38

   C. 0.38

   D. 3.8

   (1 mark)

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7. Question 7

   1 mark

   Write 0.045 as a fraction in simplest form.

   A. $\frac{45}{1000}$

   B. $\frac{9}{200}$

   C. $\frac{45}{100}$

   D. $\frac{9}{2000}$

   (1 mark)

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8. Question 8

   1 mark

   A piece of wire is 3.75 m long. Three equal pieces are cut from it. How long is each piece?

   A. 1.25 m

   B. 1.15 m

   C. 1.75 m

   D. 1.5 m

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9. Question 9

   1 mark

   A farmer sold 0.8 of his harvest. If he had 5,000 kg, how many kilograms did he sell?

   A. 4,000

   B. 3,500

   C. 3,000

   D. 4,500

   (1 mark)

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10. Question 10

    1 mark

    Divide: 7.2 ÷ 0.9

    A. 0.8

    B. 80

    C. 7.11

    D. 8

    (1 mark)

    Marking scheme

    D. $8$ — multiply both numbers by $10$ so the divisor becomes whole: $72÷9=8$. Scaling both by the same amount leaves the answer unchanged. A and B misplace the decimal point.

11. Question 11

    1 mark

    Which decimal is equivalent to $\frac{3}{8}$?

    A. 0.38

    B. 0.35

    C. 0.325

    D. 0.375

    (1 mark)

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12. Question 12

    1 mark

    What is 0.125 + 0.875?

    A. 1.1

    B. 0.99

    C. 1

    D. 0.1

    (1 mark)

    Marking scheme

    C. $1$ — line up the decimal points: the thousandths give $5+5=10$, and the carries run all the way up so the digits total exactly one whole. These two are complements.

13. Question 13

    1 mark

    What is 4.5 × 100?

    A. 45

    B. 0.045

    C. 4,500

    D. 450

    (1 mark)

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14. Question 14

    1 mark

    What is 0.25 as a fraction in its simplest form?

    A. ²⁵⁄₁₀₀

    B. ¹⁄₄

    C. ¹⁄₅

    D. ²⁄₅

    Marking scheme

    B. $\frac{1}{4}$ — two decimal places means hundredths, so $0.25=\frac{25}{100}$, and dividing both by $25$ gives $\frac{1}{4}$. A is the same value but not in simplest form, which is what the question asks for.

15. Question 15

    1 mark

    Work out: 3.45 + 2.678

    A. 6.028

    B. 6.128

    C. 5.128

    D. 6.138

    (1 mark)

    Marking scheme

    B. $6.128$ — the two numbers have different numbers of decimal places, so write $3.450$ to match $2.678$ before adding. Lining up the points, not the last digits, is the whole method here.

16. Question 16

    1 mark

    Which is larger: 0.67 or 0.607?

    A. Cannot tell

    B. 0.607

    C. They are equal

    D. 0.67

    (1 mark)

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17. Question 17

    1 mark

    What is $\frac{7}{20}$ as a decimal?

    A. 3.5

    B. 0.305

    C. 0.035

    D. 0.35

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18. Question 18

    1 mark

    Subtract: 10 − 4.35

    A. 6.65

    B. 6.35

    C. 5.65

    D. 5.35

    (1 mark)

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19. Question 19

    1 mark

    Round 5.678 to 2 decimal places.

    A. 5.68

    B. 5.67

    C. 5.70

    D. 5.69

    (1 mark)

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20. Question 20

    1 mark

    Work out: 0.3 × 0.4

    A. 12

    B. 0.12

    C. 0.012

    D. 1.2

    (1 mark)

    Marking scheme

    B. $0.12$ — multiply as whole numbers, $3\times 4=12$, then count the decimal places: one in each factor makes two, so $0.12$. Multiplying two numbers below $1$ gives an answer smaller than either.

21. Question 21

    1 mark

    What is $\frac{7}{20}$ as a decimal?

    A. 3.5

    B. 0.305

    C. 0.035

    D. 0.35

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22. Question 22

    1 mark

    What is $\frac{7}{20}$ as a decimal?

    A. 0.305

    B. 0.35

    C. 3.5

    D. 0.035

    (1 mark)

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23. Question 23

    1 mark

    What is 0.25 as a fraction in its simplest form?

    A. ²⁵⁄₁₀₀

    B. ¹⁄₄

    C. ¹⁄₅

    D. ²⁄₅

    Marking scheme

    B. $\frac{1}{4}$ — two decimal places means hundredths, so $0.25=\frac{25}{100}$, and dividing both by $25$ gives $\frac{1}{4}$. A is the same value but not in simplest form, which is what the question asks for.

24. Question 24

    1 mark

    Convert 0.6 to a percentage.

    A. 0.6%

    B. 6%

    C. 60%

    D. 600%

    (1 mark)

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