IGCSEMaths: ExtendedCIEExam QuestionsAlgebra & SequencesRearranging Formula

Syllabus Edition

First teaching 2023

First exams 2025

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Rearranging Formula (CIE IGCSE Maths: Extended)

Exam Questions

2 hours44 questions

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Rearranging Formula

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Rearranging Formula

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1
Sme Calculator2 marks

Make x the subject of this formula.

2 y space equals space 5 x space minus space 7

x space equals ................................................ 

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2
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Rearrange the formula 5 w space – space 3 y space plus space 7 space equals space 0 to make w the subject.

w = .............................................. 

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3
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Rearrange 2 left parenthesis w plus h right parenthesis equals P to make w the subject.
 

w= .................................................... 

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4
Sme Calculator2 marks

Make p the subject of 

5 p plus 7 equals m.

p = ...................................................

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1
Sme Calculator3 marks

Rearrange  2 open parentheses 4 x minus y close parentheses equals 5 x minus 3  to make y the subject.

 

y = ................................................... 

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2
Sme Calculator2 marks

Make t the subject of the formula space s equals k minus t squared.
 

t equals................................................ 

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3
Sme Calculator3 marks

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

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4
Sme Calculator3 marks

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

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5
Sme Calculator3 marks

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

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1
Sme Calculator2 marks

y space equals space square root of u squared space x end root

Rearrange the formula to write x in terms of u and y.

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

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2
Sme Calculator3 marks

Make x the subject of the formula.

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


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

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3
Sme Calculator3 marks

Make p the subject of 

y squared minus 2 p squared equals h.

 

p = ................................................... 

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4
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s equals u t plus 1 half a t squared

Rearrange the formula to write a in terms of u, t and s.
 

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

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5
Sme Calculator3 marks

Make P the subject of the formula  A equals P plus fraction numerator P R T over denominator 100 end fraction.
 

P = ...............................................

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6
Sme Calculator3 marks

m equals 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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1
Sme Calculator3 marks

The equation  x squared over 2 plus 1 over x squared minus 2 over x equals 3 x plus 1  can be written as  x to the power of 4 plus a x cubed plus b x squared plus c x plus 2 equals 0.

Find the values of a, b and c.

 

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


b = ................................................... 


c = ................................................... 

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2
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The equation  x cubed over 3 minus fraction numerator 1 over denominator 2 x squared end fraction plus 4 equals 0  can be written in the form a x to the power of n plus b x to the power of n minus 3 end exponent minus 3 equals 0.
Find the value of a, the value of b and the value of n.

 

a equals............................................... 

   
b equals............................................... 

   
n equals...............................................

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3
Sme Calculator4 marks

Rearrange the formula to make x the subject.

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

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4
Sme Calculator4 marks

Make y the subject of the formula

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

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5
Sme Calculator4 marks

Make m the subject of

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

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