Decimals

14 Grade 4 Mathematics questions on Decimals, with worked marking schemes. 14 questions are available on this topic in full.

1. Question 1

   1 mark

   What is the place value of 6 in 23.64?

   A. Hundredths

   B. Tens

   C. Tenths

   D. Ones

   (1 mark)

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2. Question 2

   1 mark

   1.45 + 0.75 = ___

   A. 2.25

   B. 1.20

   C. 2.20

   D. 2.10

   (1 mark)

   Marking scheme

   C. $2.20$ — line up the decimal points and add. The hundredths give $5+5=10$, so carry into the tenths, which then give $4+7+1=12$, carrying again into the whole numbers.

3. Question 3

   1 mark

   Which decimal is the largest: 0.5, 0.50, 0.55, 0.505?

   A. 0.5

   B. 0.50

   C. 0.55

   D. 0.505

   (1 mark)

   Marking scheme

   C. $0.55$ — compare place by place: all four start $0.5$, and only $0.55$ has a further $5$ in the hundredths. Note $0.5$ and $0.50$ are the same number; a trailing zero adds nothing.

4. Question 4

   1 mark

   Arrange in ascending order: 0.8, 0.08, 0.85, 0.8.

   A. 0.8, 0.08, 0.85, 0.8

   B. 0.08, 0.8, 0.85, 0.8

   C. 0.85, 0.8, 0.8, 0.08

   D. 0.08, 0.8, 0.8, 0.85

   (1 mark)

   Marking scheme

   D. $0.08,0.8,0.8,0.85$ — compare tenths first: $0.08$ has none, so it is smallest, and $0.85$ has the extra hundredths, so it is largest. 'Ascending' means smallest first.

5. Question 5

   1 mark

   Write 3/100 as a decimal.

   A. 0.003

   B. 3.0

   C. 0.3

   D. 0.03

   (1 mark)

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6. Question 6

   2 marks

   Work out $6.7+1.8$.

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7. Question 7

   1 mark

   Write 7/10 as a decimal.

   A. 0.07

   B. 0.7

   C. 0.70

   D. 7.0

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8. Question 8

   1 mark

   7.5 − 3.8 = ___

   A. 4.7

   B. 3.7

   C. 3.3

   D. 3.5

   (1 mark)

   Marking scheme

   B. $3.7$ — line up the decimal points. The tenths give $5-8$, so borrow a whole: $15-8=7$ tenths, leaving $6-3=3$. C comes from subtracting the smaller digit from the larger instead of borrowing.

9. Question 9

   1 mark

   5.0 − 2.35 = ___

   A. 2.75

   B. 2.45

   C. 2.55

   D. 2.65

   (1 mark)

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10. Question 10

    1 mark

    3 × 0.5 = ___

    A. 1.5

    B. 15

    C. 1.05

    D. 0.15

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11. Question 11

    1 mark

    Convert 4/5 to a decimal.

    A. 0.5

    B. 0.75

    C. 0.4

    D. 0.8

    (1 mark)

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12. Question 12

    1 mark

    Write the fraction $\frac{7}{10}$ as a decimal.

    A. $0.007$

    B. $7.0$

    C. $0.07$

    D. $0.7$

    (1 mark)

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13. Question 13

    1 mark

    3.6 + 2.8 = ___

    A. 6.4

    B. 6.3

    C. 5.4

    D. 7.4

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14. Question 14

    1 mark

    Round 6.78 to the nearest tenth.

    A. 6.8

    B. 7.0

    C. 6.7

    D. 6.0

    (1 mark)

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