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GCSEMathsOCRExam Questions6. AlgebraRearranging Formulae

Rearranging Formulae (OCR GCSE Maths)

Exam Questions

2 hours38 questions
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1
Sme Calculator2 marks

Make h the subject of the formula

t space equals space fraction numerator g h over denominator 10 end fraction

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2
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Make t the subject of the formula w space equals space 3 t space plus space 11

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3
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Make t the subject of the formula y space equals space t over 3 minus space 2 a

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4
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Make F the subject of the formula  C space equals space fraction numerator 5 open parentheses F space minus space 32 close parentheses over denominator 9 end fraction

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5
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Rearrange this formula to make y the subject.

x = y2 + 7

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6
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Rearrange the equation to make x the subject.

y = 7x - 3

x = ..................................................... 

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7
Sme Calculator2 marks

Make t the subject of the formula p space equals space a t space – space d

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8
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Make a the subject of d space equals space g space plus space 2 a c

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9
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Make a the subject of the formula M space equals space a c space – space b d

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10
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Make e the subject of the formula h space equals space 3 e space plus space f

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11
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Make t the subject of        c equals t cubed minus 8 v

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12
Sme Calculator1 mark

Rearrangespace y space equals space 3 x space – space 2 space to make x the subject.

Circle your answer.

x equals y over 3 minus 2 x equals fraction numerator y plus 2 over denominator 3 end fraction x equals fraction numerator y minus 2 over denominator 3 end fraction x equals y over 3 plus 2

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13
Sme Calculator2 marks

Rearrange v space equals space u space plus space a t  to make t the subject of the formula.

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1
Sme Calculator3 marks

Make y the subject of the formula    p space equals space square root of fraction numerator x space plus y over denominator 5 end fraction end root

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2
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Make t spacethe subject of the formula   2 open parentheses d minus t close parentheses space equals space 4 t space plus 7

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3
Sme Calculator3 marks

Make m the subject of the formula      v space equals space square root of fraction numerator 2 E over denominator m end fraction end root

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4
Sme Calculator3 marks

Make p the subject of the formula     y space equals space 3 p squared space minus space 4

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5
Sme Calculator3 marks

m space equals space square root of fraction numerator k space plus 1 over denominator 4 end fraction end root

Make k the subject of the formula.

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6
Sme Calculator3 marks

Make m spacethe subject of   g space minus space 3 m space equals space a m space plus space 5

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7
Sme Calculator2 marks

Use the formula s space equals space u t space plus space 1 half a t squared.

Make a the subject of the formula.

a = ..................

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8
Sme Calculator2 marks

Make c the subject of A equals c over y minus 5 z

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9
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Make f the subject of m space equals space square root of 1 third e f end root

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10
Sme Calculator2 marks

Make t the subject of         s space equals space 1 half space a t squared

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11
Sme Calculator1 mark

Rearrange y space equals space square root of w cubed end root to make w the subject.

Circle your answer.

w space equals space y to the power of 6 w space equals cube root of y squared end root w equals square root of y cubed end root w equals y to the power of 5

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12
Sme Calculator3 marks

Rearrange  a equals b over c plus 5  to make c the subject.

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1
Sme Calculator4 marks

Make y the subject of the formula

      t space equals space fraction numerator 2 minus 3 y over denominator y plus 2 end fraction

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2
Sme Calculator3 marks

Make v the subject of the formula w space equals space fraction numerator 15 open parentheses t space minus space 2 v close parentheses over denominator v end fraction

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3
Sme Calculator3 marks

Make a the subject of       a plus 3 space equals space fraction numerator 2 a plus 7 over denominator r end fraction

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4
Sme Calculator3 marks

m space equals space square root of fraction numerator k cubed plus 1 over denominator 4 end fraction end root

Make k the subject of the formula.

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5
Sme Calculator4 marks

Make a the subject of the formula  p space equals space fraction numerator 3 a plus 5 over denominator 4 minus a end fraction

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6
Sme Calculator4 marks

Make t the subject of the formula 

p space equals space fraction numerator 3 minus 2 t over denominator 4 plus t end fraction

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7
Sme Calculator4 marks

Make m the subject of   

m over v minus t over b equals space fraction numerator m minus t over denominator R end fraction

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8
Sme Calculator3 marks

Make m the subject of the formula  f space equals space fraction numerator 3 m plus space 4 over denominator m minus 1 end fraction

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9
Sme Calculator4 marks

Make t the subject of  n squared equals fraction numerator 4 d plus t cubed over denominator t cubed end fraction

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10
Sme Calculator4 marks

Make c the subject of the formula  p equals square root of fraction numerator a c plus 8 over denominator 3 plus c end fraction end root

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11
Sme Calculator4 marks

Make space x spacethe subject of y space equals space square root of fraction numerator x space plus space 1 over denominator x minus space 4 end fraction end root

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12
Sme Calculator4 marks

Given that n space greater than space 0
make n the subject of the formula y space equals space fraction numerator n squared space plus space d over denominator n squared end fraction

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13
Sme Calculator3 marks

Rearrange y equals fraction numerator 1 over denominator square root of x plus 1 end root end fraction to make x the subject.

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