Decimals

9 Grade 7 Mathematics questions on Decimals, with worked marking schemes. 9 questions are available on this topic in full.

1. Question 1

   1 mark

   Evaluate: 4.56 × 2.3

   A. 10.588

   B. 10.488

   C. 10.388

   D. 10.48

   (1 mark)

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2. Question 2

   1 mark

   Simplify: 0.125 + 0.375 + 0.5

   A. 1.1

   B. 1

   C. 0.875

   D. 0.9

   (1 mark)

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3. Question 3

   1 mark

   Express 0.36 as a fraction in lowest terms.

   A. $\frac{6}{17}$

   B. $\frac{18}{50}$

   C. $\frac{9}{25}$

   D. $\frac{36}{100}$

   (1 mark)

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4. Question 4

   2 marks

   Convert 3.875 to a fraction in simplest form.

   (2 marks)

   Marking scheme

   There are three digits after the decimal point, so write the number over $1,000$: $3.875=\frac{3,875}{1,000}$. (1)

   Divide the top and bottom by their highest common factor, $125$: $\frac{3,875÷125}{1,000÷125}=\frac{31}{8}$. (1)

   Final answer: $\frac{31}{8}$, which is $3\frac{7}{8}$.

5. Question 5

   3 marks

   Work out: 15.6 − 3.78 + 2.045

   (3 marks)

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6. Question 6

   1 mark

   Work out: 3.07 × 100

   A. 307

   B. 30.7

   C. 3,070

   D. 0.0307

   (1 mark)

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7. Question 7

   3 marks

   Evaluate: $\frac{0.84\times 1.2}{0.04}$

   (3 marks)

   Marking scheme

   Work out the top line first: $0.84\times 1.2=1.008$. (1)

   Dividing by $0.04$ is easier if both numbers are multiplied by $100$, which does not change the answer: $\frac{1.008}{0.04}=\frac{100.8}{4}$. (1)

   $100.8÷4=25.2$. (1)

   Final answer: $25.2$.

8. Question 8

   1 mark

   Convert $\frac{5}{11}$ to a decimal (2 d.p.).

   A. 0.45

   B. 0.55

   C. 0.46

   D. 0.54

   (1 mark)

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9. Question 9

   1 mark

   Divide: 18.72 ÷ 0.06

   A. 312

   B. 31.2

   C. 3.12

   D. 3,120

   (1 mark)

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