Robinson Tuition
Grade 2 · Foundation · free GCSE maths worksheet

Equivalent fractions and simplifying fractions

Multiplying or dividing top and bottom by the same number.

14 original questions, 24 marks. 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

Fill in the missing number.

25 = ?20

1 mark
Show answer
8
2

The shape is divided into 8 equal parts.

3 of the parts are shaded.

Write down the fraction of the shape that is shaded.

1 mark
Show answer
38
3

Write 7 as a fraction of 20.

1 mark
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720
4

Fill in the missing numbers.

  1. 34 = ?12
  2. 56 = 20?
2 marks
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a) 9 b) 24
5

A grid has 20 equal squares. 12 of the squares are shaded.

What fraction of the grid is shaded? Give your answer in its simplest form.

2 marks
Show answer
3/5
6

Write the fraction 1218 in its simplest form.

1 mark
Show answer
23
7

Three of these fractions are equivalent to 34.

68   912   1216   1524

Write down the fraction that is not equivalent to 34.

1 mark
Show answer
1524
8

The grid is made of 12 equal squares.

8 of the squares are shaded.

Write the fraction of the grid that is shaded. Give your fraction in its simplest form.

2 marks
Show answer
23
9

Write each as asked.

  1. Write 134 as a mixed number.
  2. Write 2 35 as an improper fraction.
2 marks
Show answer
a) 3 1/4 b) 13/5
10

Ravi says that 69 and 812 are equivalent fractions.

Is Ravi correct? Show how you decide.

2 marks
Show answer
Yes, both simplify to 2/3
11

There are 32 students in a class.

20 of the students walk to school.

Write the fraction of the students who walk to school. Give your fraction in its simplest form.

2 marks
Show answer
58
12

Dev has 30 pens.

He gives away 12 of the pens.

Write the fraction of the pens that Dev has left. Give your fraction in its simplest form.

2 marks
Show answer
35
13

A sunflower was 40 cm tall.

It is now 55 cm tall.

Write the increase in height as a fraction of the original height. Give your fraction in its simplest form.

2 marks
Show answer
38
14

Freya has 45 marbles.

She gives 9 marbles to her brother.

She then loses 6 marbles.

Work out the fraction of her marbles that Freya has left. Give your fraction in its simplest form.

3 marks
Show answer
23

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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