Rearranging Formulae (AQA GCSE Further Maths)

Exam Questions

47 mins13 questions
1
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1 mark

Rearrange a b equals c x plus d to make x the subject.

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2
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2 marks

Rearrange fraction numerator 1 minus k t over denominator y end fraction equals 4 x to make t the subject.

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3
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3 marks

Rearrange y equals square root of fraction numerator x plus 2 w over denominator 3 end fraction end root to make w the subject.

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4
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2 marks

Rearrange fraction numerator a x over denominator 3 end fraction equals fraction numerator 2 b over denominator x end fraction to make x the subject.

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5
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3 marks

Rearrange 3 x plus 4 pi square root of y equals 4 to make y the subject.

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1
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3 marks

Rearrange fraction numerator 1 over denominator x y end fraction equals 4 minus 3 over y to make x the subject.

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2
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4 marks

Rearrange y equals fraction numerator 8 open parentheses w minus x close parentheses over denominator x end fraction to make x the subject.

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3
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5 marks

Rearrange t equals fraction numerator 3 w cubed plus a over denominator w cubed minus 2 end fraction to make wthe subject.

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4
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4 marks

Rearrange fraction numerator a plus x over denominator x plus t end fraction equals fraction numerator b y over denominator t end fraction to make t the subject.

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5
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5 marks

Rearrange fraction numerator 4 minus v to the power of 1 third end exponent over denominator 16 minus v to the power of 1 third end exponent end fraction equals fraction numerator 2 plus h over denominator 1 minus h end fraction to make v the subject.

You do not need to expand your final answer.

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1
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4 marks

Rearrange m equals fraction numerator 2 p plus 1 over denominator p end fraction plus fraction numerator p plus 5 over denominator 3 p end fraction to make p the subject.

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2a
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2 marks

3 y squared minus 12 y identical to a open parentheses y minus b close parentheses squared plus c where a, b and c are integers.

Work out the values of a, b and c.

2b
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4 marks

Using your answer from part (a), or otherwise, rearrange fraction numerator 4 over denominator 3 y squared minus m squared end fraction equals fraction numerator 1 over denominator 3 y end fraction to make y the subject.

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3
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5 marks

Rearrange 1 over z cubed plus fraction numerator x cubed over denominator z cubed w cubed end fraction equals 1 over x cubed to make w the subject, simplifying your answer.

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