# Using Brackets in Different Places for Different Answers

In this worksheet, students practise how to use brackets in an expression.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Conventional Notation for Priority of Operations

Difficulty level:

### QUESTION 1 of 10

In this worksheet, we will learn how putting brackets in different places gives different answers.

Remember that with a string of operations, they must be done in the following order:

Brackets
Powers or indices
Multiplication and division

Remember BIDMAS

Example

3 +  5 × 6 - 2 × 3 + 4

= 3 + 30 - 6 + 4 (multiplying first)
= 31 (adding and subtracting from left to right)

If we put brackets in different places, we will get a different answer.

(3 + 5) × 6 - 2 × (3 + 4)

= 8 × 6 - 2 × 7 (brackets first)
= 48 - 14 (multiplying next)
= 34 (subtracting)

Match the correct values to each question.

a)  1 + 9 x 4 - 3

b)  (1 + 9) x 4 - 3

c)  1 + 9 x (4 - 3)

## Column B

a)
10
b)
37
c)
34

Find the values of:

2 - 5 + 8 - 9 - 2  = ___________

2 - 5 + 8 - (9 - 2)  = ___________

2 - (5 + 8 - 9 - 2)  = ___________

## Column B

a)
10
b)
37
c)
34

Find the value:

5 - 4 - 9 - 1 =  ___________

5 - 4 - (9 - 1) =  ___________

5 - (4 - 9 - 1) = ___________

## Column B

a)
10
b)
37
c)
34

Find the value:

4 + 6 × 3 - 6 × 1 = ___________

4 + 6 × (3 - 6 × 1) = ___________

(4 + 6) × 3 - 6 × 1 = ___________

## Column B

a)
10
b)
37
c)
34

Find the values of:

2 - 2 + 6 - 2 × 1 = ___________

2 - (2 + 6 - 2 × 1) = ___________

2 - (2 + 6) - 2 × 1 =  ___________

## Column B

a)
10
b)
37
c)
34

Match the correct values to each question.

a)  12 + 9 x 4 - 1

b)  (12 + 9) x 4 - 1

c)  12 + 9 x (4 - 1)

## Column B

a)
83
b)
39
c)
47

Work out the value of:

2 + 3 x (4 + 7) - 5 x (4 - 1)

12

20

15

Select which of these options could be the question.

1 + 3 x 3 - (4 - 2 x 2)

2 + 3 x 2

10 - (10 - 10) - (10 - 10)

5 x (12 - 10) ÷ (4 -3)

100 ÷ 4 + 3 x 2

Work out the value of:

(2 + 3) x (4 + 7) - 5 x (4 - 1)

12

20

40

Work out the value of:

200 - (4 + 7) x 5 x (4 - 1)

12

20

35

• Question 1

Match the correct values to each question.

a)  1 + 9 x 4 - 3

b)  (1 + 9) x 4 - 3

c)  1 + 9 x (4 - 3)

## Column B

a)
34
b)
37
c)
10
EDDIE SAYS
Remember to apply BODMAS. Always evaluate the bracket first
• Question 2

Find the values of:

2 - 5 + 8 - 9 - 2  = ___________

2 - 5 + 8 - (9 - 2)  = ___________

2 - (5 + 8 - 9 - 2)  = ___________

EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 3

Find the value:

5 - 4 - 9 - 1 =  ___________

5 - 4 - (9 - 1) =  ___________

5 - (4 - 9 - 1) = ___________

EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 4

Find the value:

4 + 6 × 3 - 6 × 1 = ___________

4 + 6 × (3 - 6 × 1) = ___________

(4 + 6) × 3 - 6 × 1 = ___________

EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 5

Find the values of:

2 - 2 + 6 - 2 × 1 = ___________

2 - (2 + 6 - 2 × 1) = ___________

2 - (2 + 6) - 2 × 1 =  ___________

EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 6

Match the correct values to each question.

a)  12 + 9 x 4 - 1

b)  (12 + 9) x 4 - 1

c)  12 + 9 x (4 - 1)

## Column B

a)
47
b)
83
c)
39
EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 7

Work out the value of:

2 + 3 x (4 + 7) - 5 x (4 - 1)

20
EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 8

Select which of these options could be the question.

1 + 3 x 3 - (4 - 2 x 2)
10 - (10 - 10) - (10 - 10)
5 x (12 - 10) ÷ (4 -3)
EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 9

Work out the value of:

(2 + 3) x (4 + 7) - 5 x (4 - 1)

40
EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
• Question 10

Work out the value of:

200 - (4 + 7) x 5 x (4 - 1)

35
EDDIE SAYS
Remember to apply BODMAS. Always evaluate the brackets first
---- OR ----

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