AQA GCSE Mathematics · 8300

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Extreme practice · Multi-step problems within GCSE Higher. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

AQA format & instructions

Show your working and give answers in the spaces provided. Paper 1H is non-calculator; Papers 2H and 3H permit a calculator. Diagrams are not necessarily drawn accurately.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

1H · Non-calculator · 80 marks · 90 minutes
2H · Calculator · 80 marks · 90 minutes
3H · Calculator · 80 marks · 90 minutes

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · Higher TierHigher Tier · Non-calculator practice · 8300

Torus Maths original · AQA style

Let $x=\sqrt{4}+\sqrt{3}$ . Give your answers in exact form.

(a)

Show that $1/x=\sqrt{4}-\sqrt{3}$ .

[3 marks]

Answer

(b)

Find $x^4+x^{-4}$ and $x^4-x^{-4}$ .

[4 marks]

Answer

Question reference: aqa-gcse-extreme-01-01Report a question →

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