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Using the Order of Operations in Calculations (1)

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

'Using the Order of Operations in Calculations (1)' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Use Conventional Notation for Priority of Operations

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

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

 

The agreed order is:

      Brackets
      Powers or indices
       Division and Multiplication
      Addition and subtraction

 

This can be remembered using the word:    BIDMAS.

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.

Examples

6 + 9 ÷ 3 = 6 + 3 = 9. divide first


(6 + 9) ÷ 3 = 15 ÷ 3 = 5. brackets first


15 - 4 × 2 = 15 - 8 = 7. multiply first


(15 - 4) × 2 = 11 × 2 = 22. brackets first


4 × 32 = 4 × 9 = 36. power first


(4 × 3)2 = 122 = 144. brackets first

 

14 - 4 + 5 = 15.  equally important, so left to right.

Work out

11 × 6 + 6 =
 

Work out

11 × (6 + 6) =
 

Calculate

11 + 6 × 6 =
 

What is ?...

(11 + 6) × 6 =
 

Work out

11 × 62 =
 

Work out

(11 × 6)2 =
 

Work out 

12 - 8 + 2 =
 

Work out

12 × (8 + 2) =
 

Calculate

12 + 8 × 2 =
 

Calculate

(12 + 8) × 2 =
 

  • Question 1

Work out

11 × 6 + 6 =
 
CORRECT ANSWER
72
  • Question 2

Work out

11 × (6 + 6) =
 

CORRECT ANSWER
132
  • Question 3

Calculate

11 + 6 × 6 =
 

CORRECT ANSWER
47
  • Question 4

What is ?...

(11 + 6) × 6 =
 

CORRECT ANSWER
102
  • Question 5

Work out

11 × 62 =
 

CORRECT ANSWER
396
  • Question 6

Work out

(11 × 6)2 =
 

CORRECT ANSWER
4356
  • Question 7

Work out 

12 - 8 + 2 =
 

CORRECT ANSWER
6
  • Question 8

Work out

12 × (8 + 2) =
 

CORRECT ANSWER
120
  • Question 9

Calculate

12 + 8 × 2 =
 

CORRECT ANSWER
28
  • Question 10

Calculate

(12 + 8) × 2 =
 

CORRECT ANSWER
40
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