GCSE · Fractions & decimals

Converting fractions, decimals and percentagesExam-style questions

One amount can be written as a fraction, a decimal or a percentage. Why per cent means "out of 100", how to move between the three forms in every direction, how to put a mixed list in order, and how to write one quantity as a fraction or a percentage of another, including answers bigger than 100%.

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11 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 3 Level 4

1
Rhys and Ella each take a spelling test.

Rhys scores $34$ out of $40$

Ella takes a longer test. She scores $42$ out of $50$

Rhys says,

"I got a higher percentage than Ella."

Is Rhys correct?

You must show how you get your answer.

(3 marks)
Level 3 · 3 marksTry it
2
A choir has only sopranos and altos.

number of sopranos : number of altos $= 7 : 13$
(a) What fraction of the choir are sopranos?

(1 mark)
(b) What percentage of the choir are altos?

(2 marks)
Level 3 · 3 marksTry it
3
(a) Work out $45$ p as a fraction of £ $1.20$

Give your answer in its simplest form.

(2 marks)
(b) Write $350$ g as a percentage of $2$ kg.

(2 marks)
Level 3 · 4 marksTry it
4
Mia grows seedlings in two trays.

In tray A, $21$ of the seedlings have flowered and $14$ have not flowered.

In tray B, $58\%$ of the seedlings have flowered.

Which tray has the greater proportion of seedlings that have flowered?

Show how you decide.

(3 marks)
Level 3 · 3 marksTry it
5
Write these numbers in order of size. Start with the smallest number.

$\frac{2}{3} \qquad 0.6 \qquad 65\% \qquad \frac{5}{8} \qquad 0.67$

(2 marks)
Level 3 · 2 marksTry it

6 more questions on converting fractions, decimals and percentages

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