Topics
1. Whole Numbers
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iGCSE (2021 Edition)

1.04 Order of operations with whole numbers

Lesson
Worksheet
Practice
Worksheet
Order of operations with whole numbers
1

Calculate:

a

6 + 4 \times 2

b

6 + 16 \div 4

c

24 \div 6 \times 4

d

22 - 18 \div 6

e

37 - 35 \div 7 + 8

f

36 \div 4 \times 8 + 6

g
18 \div 2 + 7
h
8 \times 5 - 3 \times 2
i
7 + 4 \times 3 - 6
j
11 + 10 \div 5 \times 8
2

Calculate:

a

\left(7 + 9\right) \times 10

b

7 \times \left(5 + 4\right) - 50

c

34 - \left(29 + \left( 12 \div 3\right)\right)

d

\left(8 - 2\right) \times 8

e

\left(7 - 2\right) \times \left(6 - 2\right)

f

\left(10 + 2\right) \times \left(7 - 2\right)

g

\left[ 69 - \left(15 + 24\right)\right] \div 3 + 8 \times 6

h
\left( 11 + 5 \right) \div \left( 6 - 2 \right)
i
[ (8 + 2) \times 6] \div 5
j
\left\{[100 - (5 + 15)] + 8\right\} \div 8
k
[7\times (6 - 3)]\times [(8 +2)\div 5]
l
[1+(6 \times 3 - 9) ]\div[20 - (100 \div 10)]
3

Consider the expression 4 + 7 \times 3.

a
State whether the following expressions give the same value as the original expression:
i
\left(4 + 7\right) \times 3
ii
4 + \left(7 \times 3\right)
iii
7 \times 3 + 4
iv
7 + 4 \times 3
b
How do the brackets in \left(4 + 7\right) \times 3 change the order of operations from the original expression 4 + 7 \times 3?
4

Consider the expression 7 \div 5 + 9.

a

State whether the following expressions give the same value is the original expression:

i
7 \div \left(5 + 9\right)
ii
9 + 7 \div 5
iii
5 + 9 \div 7
iv
\left( 7 \div 5\right) + 9
b

How do the brackets in 7 \div \left(5 + 9\right) change the order of operations from the original expression 7 \div 5 + 9?

5

Consider the expression 5 - 7 \times 8.

a

State whether the following expressions give the same value is the original expression:

i
7 \times 8 - 5
ii
5 - \left( 7 \times 8\right)
iii
\left(5 - 7\right) \times 8
iv
8 \times 5 - 7
b

How do the brackets in \left(5 - 7\right) \times 8 change the order of operations from the original expression 5 - 7 \times 8?

6

Consider the expression 7 \div 4 - 2.

a

State whether the following expressions give the same value is the original expression:

i
2 - 7 \div 4
ii
4 - 2 \div 7
iii
\left( 7 \div 4\right) - 2
iv
7 \div \left(4 - 2\right)
b

How do the brackets in 7 \div \left(4 - 2\right) change the order of operations from the original expression 7 \div 4 - 2?

7

Consider the expression 6 + 19 - 4 \times 3.

a

Evaluate 6 + 19 - 4 \times 3

b

The expressions below are like the expression above, except a pair of brackets has been added. Evaluate the following expressions:

i
6 + \left(19 - 4\right) \times 3
ii
6 + 19 - \left( 4 \times 3\right)
iii
\left(6 + 19 - 4\right) \times 3
8

Consider the expression 6 \times 15 - 5 + 3.

a

Evaluate 6 \times 15 - 5 + 3

b

The expressions below are like the expression above, except a pair of brackets has been added. Evaluate the following expressions:

i
6 \times 15 - \left(5 + 3\right)
ii
6 \times \left(15 - 5\right) + 3
iii
\left( 6 \times 15\right) - 5 + 3
9

Consider the expression 35 - 6 \times 3 + 2.

a

Evaluate 35 - 6 \times 3 + 2

b

The expressions below are like the expression above, except a pair of brackets has been added. Evaluate the following expressions:

i
35 - \left( 6 \times 3\right) + 2
ii
35 - \left( 6 \times 3 + 2\right)
iii
\left(35 - 6\right) \times 3 + 2
iv
35 - 6 \times \left(3 + 2\right)
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Outcomes

0580C1.8A

Use the four rules for calculations with whole numbers, including correct ordering of operations and use of brackets.

0580E1.8A

Use the four rules for calculations with whole numbers, including correct ordering of operations and use of brackets.

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