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iGCSE (2021 Edition)

1.01 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

0607C1.2

Use of the four operations and brackets.

0607E1.2

Use of the four operations and brackets.

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