GCSE · Integers, powers & roots

Negatives and the order of operationsExam-style questions

Why the order of operations exists, why −3² and (−3)² are different numbers, and how the sign rules for negatives follow from what multiplication means.

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13 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4

1
Work out $-4 \times (-3)^2 + 5 \times (-2)$ (2 marks)
Level 1 · 2 marksTry it
2
Use your calculator to work out $\dfrac{5.4^2 - 2.7}{\sqrt{6.25}}$

Write down all the figures on your calculator display. [2]
Level 1 · 2 marksTry it
3
Work out $3.6 \times 0.24$ [2]
Level 1 · 2 marksTry it
4
Work out

(a) $-7 + 12$

(b) $-3 - 8$

(c) $(-4) \times (-6)$
Level 2 · 3 marksTry it
5
Work out

(a) $3 + 4 \times 2^2$

(b) $18 - 12 \div 3 + 1$
Level 3 · 4 marksTry it

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