Order of operations

Apply the order of operations (BODMAS) to evaluate expressions involving integers.

Worked examples

Two operations, no brackets

Straightforward

Problem

Calculate 106÷210 - 6 \div 2.

Brackets and exponents

Moderate

Problem

Calculate 322×43^2 - 2 \times 4.

Nested brackets with exponent

Challenging

Problem

Calculate 3×(4+22)3 \times (4 + 2^2).

Practise

Q1·Straightforward
Calculate 3+4×23 + 4 \times 2.
Q2·Straightforward
Calculate 106÷210 - 6 \div 2.
Q3·Straightforward
Calculate 5×3+45 \times 3 + 4.
Q4·Straightforward
Calculate 12÷4+612 \div 4 + 6.
Q5·Moderate
Calculate (3+4)×2(3 + 4) \times 2.
Q6·Moderate
Calculate 23+52^3 + 5.
Q7·Moderate
Calculate 4×(72)4 \times (7 - 2).
Q8·Moderate
Calculate 322×43^2 - 2 \times 4.
Q9·Challenging
Calculate (2+3)2÷5(2 + 3)^2 \div 5.
Q10·Challenging
Calculate 3×(4+22)3 \times (4 + 2^2).
Q11·Challenging
Calculate (104)÷(1+2)(10 - 4) \div (1 + 2).
Q12·Challenging
Calculate 2×(3+1)2102 \times (3 + 1)^2 - 10.