Robinson Tuition
Grade 4 · Foundation and Higher · free GCSE maths worksheet

Mixed numbers and improper fractions

Converting between the two forms.

12 original questions, 37 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
  1. Write 175 as a mixed number.
  2. Write 298 as a mixed number.
2 marks
Show answer
a) 3 2/5 b) 3 5/8
2
  1. Write 234 as an improper fraction.
  2. Write 523 as an improper fraction.
2 marks
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a) 11/4 b) 17/3
3

Write these numbers in order of size, smallest first.

176    234    52    223

3 marks
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5/2, 2 2/3, 2 3/4, 17/6
4

x + 125 = 4110

Work out the value of x. Give your answer as a mixed number.

2 marks
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2 7/10
5

Work out 313 ÷ 212

Give your answer as a mixed number in its simplest form.

3 marks
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113
6
  1. Work out 213 + 134. Give your answer as a mixed number.
  2. Work out 315 − 1710. Give your answer as a mixed number.
4 marks
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a) 4 1/12 b) 1 1/2
7

Work out 78 + 1112. Give your answer as a mixed number.

3 marks
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1 19/24
8

Show that 223 × 178 = 5

3 marks
Show answer
223 = 83 and 178 = 158, so the product is (8 x 15)(3 x 8) = 12024 = 5
9

Show that 214 × 113 = 3.

3 marks
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shown
10

A recipe needs 134 cups of flour. Marcus makes 212 times the recipe.

How much flour does he need? Give your answer as a mixed number of cups.

3 marks
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4 3/8 cups
11
  1. Work out 78 − 25
  2. Show that 123 × 214 = 334
5 marks
Show answer
a) 19/40 b) 5/3 x 9/4 = 45/12 = 15/4 = 3 3/4
12

A ribbon is 612 m long. It is cut into pieces that are each 34 m long.

How many whole pieces can be cut, and how much ribbon is left over?

4 marks
Show answer
8 pieces, 1/2 m left over

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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