 # Using the Order of Operations in Calculations (2)

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
Multiplication and division

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

6 × 6 + 10 =

Work out

6 × (6 + 10) =

Calculate

26 + 26 × 10 =

Calculate

(26 + 26) × 10 =

Calculate

4 × 42 =

Work out

(3 × 3)2 =

Work out

8 × 5 + 6 =

Work out

8 × (5 + 6) =

Work out

8 + 5 × 6 =

Work out

(8 + 5) × 6 =

• Question 1

Work out

6 × 6 + 10 =

46
• Question 2

Work out

6 × (6 + 10) =

96
• Question 3

Calculate

26 + 26 × 10 =

286
• Question 4

Calculate

(26 + 26) × 10 =

520
• Question 5

Calculate

4 × 42 =

64
• Question 6

Work out

(3 × 3)2 =

81
• Question 7

Work out

8 × 5 + 6 =

46
• Question 8

Work out

8 × (5 + 6) =

88
• Question 9

Work out

8 + 5 × 6 =

38
• Question 10

Work out

(8 + 5) × 6 =

78
---- OR ----

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