Note:

Use Q1-4 from Fractions, Decimals and Percentages Online Exam

This is a non-calculator exam.

Q5

Convert the following fractions to percentages.

 

5(a) \dfrac{84}{200}

Answer type: simple

Answer: 42 (%)

Workings:

\dfrac{84}{200}=0.42= 42 \%

1 mark

 

5(b) \dfrac{17}{20}

Answer type: simple

Answer: 85 (%)

Workings:

\dfrac{17}{20}=0.85=  85\%

1 mark

 

5(c) \dfrac{3}{5}

Answer type: simple

Answer: 60 (%)

Workings:

\dfrac{3}{5}=0.6= 60 \%

1 mark

 

5(d) \dfrac{4}{16}

Answer type: simple

Answer: 25 (%)

Workings:

\dfrac{4}{16}=0.25= 25 \%

1 mark

Q6

Convert the following percentages to fractions.

Give your answers in their simplest forms.

 

6(a)  40 \%

Answer type: simple

Answer:  \dfrac{2 }{5 }

Workings:

40 \% = \dfrac{40}{100} = \dfrac{4}{10} = \dfrac{2}{5}

1 mark

 

6(b) 64  \%

Answer type: simple

Answer:  \dfrac{16 }{25 }

Workings:

64 \% = \dfrac{64}{100} = \dfrac{32}{50}=\dfrac{16}{25}

1 mark

 

6(c)  47 \%

Answer type: simple

Answer:  \dfrac{47 }{100 }

Workings:

47\% = \dfrac{47}{100}

1 mark

 

6(d) 55  \%

Answer type: simple

Answer:  \dfrac{11 }{20 }

Workings:

55 \% = \dfrac{55}{100} = \dfrac{11}{20}

1 mark

Q7

A class of students were asked about their favourite genres of films.

1 in 10 people said they preferred romantic comedies.

45 \% of the class said they preferred comedy films.

The proportion of the class that said they preferred action films was 0.35

The rest of the class said they preferred horror films.

 

7(a) Convert 45 \% to a decimal

Answer type: simple

Answer: 0.45

Workings:

45 \%=0.45

1 mark

 

7(b) What proportion of the class said they preferred action films?

Give your answer as a fraction in its simplest form.

Answer type: fraction

Answer: 7 / 20

Workings:

0.35 = \dfrac{35}{100} = \dfrac{7}{20}

1 mark

 

7(c) What percentage of the class said they preferred horror films?

Answer type: simple

Answer: 10 (%)

Workings:

1 in 10 people prefer romantic comedies, which is equivalent to \dfrac{1}{10} = 0.1

45 \% of the class prefer comedy films, which is equivalent to 0.45

So the proportion of the class that prefer horror films is 1-0.45-0.35-0.1=0.1 which is equivalent to 10\%