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Use the Order of Operations in Calculations

In this worksheet, students will observe the order of priority in carrying out mixed operations.

'Use the Order of Operations in Calculations' worksheet

Key stage:  KS 3

Year:  Year 7 Maths worksheets

Curriculum topic:   Number

Curriculum subtopic:   Use Conventional Notation for Priority of Operations

Difficulty level:  

Worksheet Overview

When you are working something out that involves more than one operation, the order in which it is carried out matters.


The agreed order is:

      Powers or indices
       Division and Multiplication
      Addition and subtraction


This can be remembered using the word: BIDMAS  or BODMAS   


However, remember that multiplication and division are equally important, so in a calculation just involving multiplication and division, you carry this out from left to right.  Similarly with addition and subtraction.


6 + 9 ÷ 3  The first operation to do is division because we have no brackets or indices.

6 + 3 = 9


(6 + 9) ÷ 3  This time, we have brackets, so do those first.

15 ÷ 3 = 5


15 - 4 × 2  This time, we have no brackets, indices or division, so we multiply first.

15 - 8 = 7


(15 - 4) × 2  Here, we do brackets first.

11 x 2 = 22


4 × 32 = 4 × 9 = 36 This time, we do the power first.

4 x 9 = 36


(4 × 3)2 This one needs us to do the brackets first.

122 = 144


14 - 4 + 5   This time, we have only addition and subtraction.  This means that they are equally important, so we do it left to right.

10 + 5 = 15


That's lots of examples to work through. Hopefully, they have given you a good overview of how to tackle the order of operations.


Are you ready to have a go at some questions yourself?


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