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Rearranging Formulas (Cambridge (CIE) IGCSE International Maths: Extended): Exam Questions

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Rearranging Formulas

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1
Sme Calculator2 marks

Make h the subject of the formula

t equals 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 equals 3 t plus 11

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

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

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1
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P equals 2 r plus pi r

Rearrange the formula to write r in terms of P and pi.

r = ................................................... 

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2
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A equals straight pi r l plus straight pi r squared  

Rearrange this formula to make l the subject.  

l = ................................................ 

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3
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A equals left parenthesis 2 straight pi plus y right parenthesis x squared

Rearrange the formula to make x the subject.

x equals................................................

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4
Sme Calculator3 marks

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

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5
Sme Calculator3 marks

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

Make k the subject of the formula.

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6
Sme Calculator3 marks

m equals 2 p plus square root of x over y end root

Make xthe subject of this formula.  

x equals ................................................

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7
Sme Calculator3 marks

Make space y the subject of the formula space h squared equals x squared plus 2 y squared.  

space y equals .................................................

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1
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Make m the subject of   g space long dash space 3 m space equals space a m space plus space 5

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2
Sme Calculator4 marks

Rearrange this formula to make m the subject.

P equals fraction numerator k plus m over denominator m end fraction 

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3
Sme Calculator4 marks

Make m the subject of the formula.

x equals fraction numerator 3 m over denominator 2 minus m end fraction  

m = ...............................................

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4
Sme Calculator3 marks

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

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5
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Make a the subject of   a plus 3 equals fraction numerator 2 a plus 7 over denominator r end fraction

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6
Sme Calculator4 marks

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

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7
Sme Calculator4 marks

Make t the subject of the formula 

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

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8
Sme Calculator3 marks

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

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1
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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2
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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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3
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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4
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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5
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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