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

A grouped distribution has intervals $0\leq x<10$ , $10\leq x<30$ and $30\leq x<60$ . Their frequency densities are 3, k and 2k−1 respectively. The estimated mean, using class midpoints, is 33.75. Find k and answer the questions below.

(a)

Find k and the total frequency.

[5 marks]

Answer

(b)

State the median class. Assuming values are uniformly distributed within each class, estimate the proportion for which x≥40.

[4 marks]

Answer

Question reference: aqa-gcse-extreme-19-01Report a question →

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