Robinson Tuition
Year 9 · Key Stage 3 · free KS3 maths worksheet

Converting FDPs

12 original questions, 25 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Write 0.7 as a fraction.

1 mark
Show answer
710
2

Write 7% as a decimal.

1 mark
Show answer
0.07
3

Write

  1. 0.4 as a percentage,
  2. 135% as a decimal.
2 marks
Show answer
a) 40% b) 1.35
4

Write 0.35 as a fraction. Give your fraction in its simplest form.

1 mark
Show answer
720
5

Write

  1. 35% as a fraction in its simplest form,
  2. 325 as a percentage.
2 marks
Show answer
a) 7/20 b) 12%
6
  1. There are 32 pupils in a Year 9 class. 12 of them walk to school. What fraction of the class walk to school? Give your answer in its simplest form.
  2. Write 40 minutes as a fraction of 2 hours. Give your answer in its simplest form.
2 marks
Show answer
a) 3/8 b) 1/3
7

Amir has £60 of birthday money. He spends 0.15 of it on a book.

Work out how much money Amir has left.

2 marks
Show answer
£51
8

Write these numbers in order of size, starting with the smallest.

25   0.44   39%   14

2 marks
Show answer
14, 39%, 25, 0.44
9

Ellie scored 17 out of 20 in a French test. She scored 42 out of 50 in a Spanish test.

In which test did Ellie do better? You must show your working.

3 marks
Show answer
French (85% compared with 84%)
10

The same jacket is sold in two shops.

Shop A: normal price £80, with 15 off.

Shop B: normal price £84, with 25% off.

In which shop is the jacket cheaper, and by how much? You must show your working.

4 marks
Show answer
Shop B, by £1 (Shop A: £64, Shop B: £63)
11

Express 0.7̇ as a fraction.

2 marks
Show answer
79
12

Express 0.5̇4̇ as a fraction in its simplest form.

3 marks
Show answer
611

Your score

Answer the questions above and your score appears here.

Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.

All Year 9 topics