 Using the Order of Operations in Calculations (1)

In this worksheet, students observe the order of priority in carrying out mixed operations. Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Use Conventional Notation for Priority of Operations

Difficulty level:   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

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 =
72
• Question 2

Work out

11 × (6 + 6) =

132
• Question 3

Calculate

11 + 6 × 6 =

47
• Question 4

What is ?...

(11 + 6) × 6 =

102
• Question 5

Work out

11 × 62 =

396
• Question 6

Work out

(11 × 6)2 =

4356
• Question 7

Work out

12 - 8 + 2 =

6
• Question 8

Work out

12 × (8 + 2) =

120
• Question 9

Calculate

12 + 8 × 2 =

28
• Question 10

Calculate

(12 + 8) × 2 =

40
---- OR ----

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