Note:

Use Q2, Q4, Q7, Q8 from Fractions Decimals and Percentages (GCSE)

This is a non-calculator topic.


Q1

Convert \dfrac{4}{10} to a decimal.

Answer: 0.4

Wrong answers:

0.2

0.8

0.44

Workings:

\dfrac{4}{10}=4\div 10 = 0.4


Q3

Convert 0.28 to a percentage.

Answer: 28 \%

Wrong answers:

56\%

14\%

2.8\%

Workings:

0.28=\dfrac{28}{100} =28\%


Q5

Convert \dfrac{7}{2} to a decimal.

Answer: 3.5

Wrong answers:

0.72

7.2

0.35

Workings:

\dfrac{7}{2} = 7\div 2 = 3.5


Q6

Convert \dfrac{25}{10} to a percentage

Answer: 250 \%

Wrong answers:

25\%

0.25\%

2.50\%

Workings:

\dfrac{25}{10} = \dfrac{250}{100} = 250\%


Q9

Convert 24 \% to a fraction in its simplest form.

Answer: \dfrac{6}{25}

Wrong answers:

\dfrac{12}{50}

\dfrac{3}{12}

\dfrac{1}{4}

Workings:

24 \% = 0.24 =\dfrac{24}{100}= \dfrac{12}{50}=\dfrac{6}{25}


Q10

Francesca is clearing out her wardrobe.

She gives 35 \% of her clothes away to charity.

What fraction of her clothes does she keep?

Give your answer in its simplest form.

Answer: \dfrac{13}{20}

Wrong answers:

\dfrac{14}{40}

\dfrac{26}{40}

\dfrac{7}{20}

Workings:

She gives away 35 \%  = \dfrac{35}{100} = \dfrac{7}{20}

So she keeps 1-\dfrac{7}{20}=\dfrac{13}{20}