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AQA Level 2 Certificate Further Maths

Topic questions Pure mathematics Rearranging formulae

Rearranging formulae

9 questions · 35 marks · about 45 minutes

Rearranging formulae questions

TopicRearranging formulae

AQA 8365 Rearranging formulae 9 questions

Paper 1: Non-calculator June 2023, Question 7 4 marks

The diagram below shows a cone and a prism. All measurements are in cm The cone has base radius r and perpendicular height x. The prism has a triangular cross section with base y and perpendicular height y. The length of the prism is x.

Figure for question 7

The volume of the cone is four times the volume of the prism.

Express r in terms of y.

[4]
Reveal mark scheme Mark scheme for question 7

Paper 2: Calculator June 2023, Question 9 7 marks

The dimensions of the cuboid are given in centimetres.

Figure for question 9

The total length of all 12 edges is 300 cm

(a)
Question 9, shown as an image
[2]
Reveal mark scheme Mark scheme for question 9(a)
(b)

The volume of the cuboid is V cm3

Question 9, shown as an image
[2]
Reveal mark scheme Mark scheme for question 9(b)
(c)

Use calculus to work out the maximum value of V as x varies.

[3]
Reveal mark scheme Mark scheme for question 9(c)

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Prove it by induction
Write ‘clearly’ and move on
Me on the final ‘show that’
Using the formula booklet
Proving it by induction
Writing ‘by symmetry’ to skip half the work
Writing ‘trivially’ and daring the examiner
Further enlightenment, ranked

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Further Maths starter pack

Calculator that does matricesProof that’s 3 pages longArgand diagram doodlesThis website
Collect all four. Prove it.