Decimals

15 Grade 5 Mathematics questions on Decimals, with worked marking schemes. 15 questions are available on this topic in full.

1. Question 1

   1 mark

   2.5 × 4 = ___

   A. 10.0

   B. 9.0

   C. 8.0

   D. 10.5

   (1 mark)

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2. Question 2

   2 marks

   Work out $12.5-7.85$.

   (2 marks)

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3. Question 3

   1 mark

   What decimal is equivalent to 45%?

   A. 0.45

   B. 0.045

   C. 45.0

   D. 4.5

   (1 mark)

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4. Question 4

   1 mark

   3.45 + 2.78 = ___

   A. 5.23

   B. 6.23

   C. 6.13

   D. 6.33

   (1 mark)

   Marking scheme

   B. $6.23$ — line up the decimal points and add. The hundredths give $5+8=13$, so carry into the tenths: $4+7+1=12$, carrying again. C comes from dropping one of those carries.

5. Question 5

   1 mark

   Write 6/100 as a decimal.

   A. 6.0

   B. 0.6

   C. 0.06

   D. 0.006

   (1 mark)

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6. Question 6

   1 mark

   A piece of cloth is 4.5 m long. It is cut into pieces of 0.5 m each. How many pieces?

   A. 8

   B. 10

   C. 9

   D. 7

   (1 mark)

   Marking scheme

   C. $9$ — asking how many $0.5$ m pieces fit into $4.5$ m is a division: $4.5÷0.5$. Doubling both gives $45÷5=9$. A is the common off-by-one slip.

7. Question 7

   1 mark

   8.50 − 3.76 = ___

   A. 4.74

   B. 4.84

   C. 5.74

   D. 4.64

   (1 mark)

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8. Question 8

   1 mark

   8.4 ÷ 4 = ___

   A. 2.1

   B. 2.4

   C. 2.01

   D. 2.0

   (1 mark)

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9. Question 9

   1 mark

   Which is the largest: 0.8, 0.08, 0.800, 0.080?

   A. 0.080

   B. 0.800 (same as 0.8)

   C. All equal

   D. 0.08

   (1 mark)

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10. Question 10

    1 mark

    Convert 3/5 to a decimal.

    A. 0.6

    B. 0.75

    C. 0.3

    D. 0.5

    (1 mark)

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11. Question 11

    1 mark

    What is $3.6+4.75$?

    A. $8.35$

    B. $8.11$

    C. $8.45$

    D. $7.35$

    (1 mark)

    Marking scheme

    A. $8.35$ — write $3.60$ so both have two decimal places, then add: the hundredths give $0+5=5$ and the tenths give $6+7=13$, carrying one whole. A lines up the last digits instead of the decimal points.

12. Question 12

    1 mark

    Round 4.386 to 1 decimal place.

    A. 4.39

    B. 4.0

    C. 4.4

    D. 4.3

    (1 mark)

    Marking scheme

    C. $4.4$ — one decimal place means keeping the tenths. The next digit is $8$, which is $5$ or more, so $4.3$ rounds up to $4.4$. A keeps two places instead of one.

13. Question 13

    1 mark

    What is the place value of 7 in 45.376?

    A. Thousandths

    B. Hundredths

    C. Tens

    D. Tenths

    (1 mark)

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14. Question 14

    1 mark

    0.75 + 0.125 = ___

    A. 0.850

    B. 0.925

    C. 0.875

    D. 0.775

    (1 mark)

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15. Question 15

    1 mark

    Arrange in ascending order: 0.35, 0.053, 3.5, 0.503.

    A. 0.35, 0.053, 0.503, 3.5

    B. 3.5, 0.503, 0.35, 0.053

    C. 0.053, 0.35, 0.503, 3.5

    D. 0.053, 0.503, 0.35, 3.5

    (1 mark)

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