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

Adding and subtracting mixed numbers

Fractions with whole-number parts.

10 original questions, 29 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

Work out 112 + 213

Give your answer as a mixed number.

2 marks
Show answer
356
2

Work out 5 − 238

Give your answer as a mixed number.

2 marks
Show answer
258
3

Freya is asked to work out 23 + 16

Here is her working.

23 + 16 = 39 = 13

Describe two ways you can tell that Freya's method is wrong.

2 marks
Show answer
She added the numerators and the denominators instead of using a common denominator; also her answer 13 is smaller than 23, which is impossible when adding a positive fraction. (Correct answer: 23 = 46, so 46 + 16 = 56.)
4

A plank of wood is 334 m long. Kofi cuts a piece of length 123 m from it.

How long is the piece of plank that is left? Give your answer as a mixed number of metres.

3 marks
Show answer
2112 m
5
  1. One of these fractions is not equivalent to 35

    610    915    1225    1525

    Write down this fraction.

  2. Work out 25 + 13
3 marks
Show answer
a) 12/25 b) 11/15
6

Mia works out 413 − 123. Here is her working.

4 − 1 = 3 and 23 − 13 = 13, so the answer is 313.

  1. Explain the mistake Mia has made.
  2. Work out the correct answer to 413 − 123.
3 marks
Show answer
a) She did 2/3 - 1/3 (smaller from larger) instead of 1/3 - 2/3, which cannot be done without regrouping b) 2 2/3
7

Work out 425 − 134

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

3 marks
Show answer
21320
8

Priya makes a cake using 134 kg of flour and bread using 212 kg of flour. She starts with a 5 kg bag of flour.

  1. Work out the total mass of flour she uses.
  2. Work out the mass of flour left in the bag.
3 marks
Show answer
a) 4 1/4 b) 3/4
9

Work out (112 + 214) ÷ 34

4 marks
Show answer
5
10
  1. Work out 134 + 256

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

  2. Work out 212 × 115
4 marks
Show answer
a) 4 7/12 b) 3

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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