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Using BIDMAS: Order of Operations in Calculations

In this worksheet, students must pay attention to the order of priority in carrying out mixed operations.

'Using BIDMAS: Order of Operations in Calculations' worksheet

Key stage:  KS 2

Curriculum topic:  Number: Addition, Subtraction, Multiplication and Division

Curriculum subtopic:  Carry Out Calculations Using Order of Operations

Difficulty level:  

down

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)

Work out

 

11 + 6 × 6

Work out

 

(11 + 6) × 6

Work out

 

11 × 62

Work out

 

(2 × 6)2

Work out

 

12 - 8 + 2

Work out

 

12 × (8 + 2)

Work out

 

12 + 8 × 2

Work out

 

(12 + 8) × 2

  • Question 1

Work out

 

11 × 6 + 6

CORRECT ANSWER
72
EDDIE SAYS
11 × 6 = 66
66 + 6 = 72
  • Question 2

Work out

 

11 × (6 + 6)

CORRECT ANSWER
132
EDDIE SAYS
6 + 6 = 12
11 × 12 = 132
  • Question 3

Work out

 

11 + 6 × 6

CORRECT ANSWER
47
EDDIE SAYS
6 × 6 = 36
11 + 36 = 47
  • Question 4

Work out

 

(11 + 6) × 6

CORRECT ANSWER
102
EDDIE SAYS
11 + 6 = 17
17 × 6 = 102
  • Question 5

Work out

 

11 × 62

CORRECT ANSWER
396
EDDIE SAYS
6² = 36
11 × 36 = 396
  • Question 6

Work out

 

(2 × 6)2

CORRECT ANSWER
144
EDDIE SAYS
2 × 6 = 12
12² = 12 × 12 = 144
  • Question 7

Work out

 

12 - 8 + 2

CORRECT ANSWER
6
EDDIE SAYS
12 - 8 = 4
4 + 2 = 6
  • Question 8

Work out

 

12 × (8 + 2)

CORRECT ANSWER
120
EDDIE SAYS
8 + 2 = 10
12 × 10 = 120
  • Question 9

Work out

 

12 + 8 × 2

CORRECT ANSWER
28
EDDIE SAYS
8 × 2 = 16
12 + 16 = 28
  • Question 10

Work out

 

(12 + 8) × 2

CORRECT ANSWER
40
EDDIE SAYS
12 + 8 = 20
20 × 2 = 40
---- OR ----

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