IGCSEMaths: CoreCIEExam QuestionsAlgebra & SequencesRearranging Formulas

Syllabus Edition

First teaching 2023

First exams 2025

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Rearranging Formulas (CIE IGCSE Maths: Core)

Exam Questions

35 mins15 questions
Easy
Medium
Hard
1
Sme Calculator2 marks

Makespace x spacethe subject of this formula.

2 y equals 5 x minus 7

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

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2
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Makespace m spacethe subject of the formula y equals 4 m minus p

m equals...........................

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3
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Makespace r space the subject of this formula.

p equals 3 r minus 5

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

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4
Sme Calculator2 marks

Make p the subject of this formula.

H equals 7 p minus 3

p equals............................... 

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5
Sme Calculator2 marks

Make x the subject of the following formula

T equals 1 third open parentheses 5 x plus 2 close parentheses

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

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1
Sme Calculator2 marks

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

w space equals..........................

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2
Sme Calculator2 marks

Rearrange T equals 5 open parentheses p plus 2 close parentheses to make p the subject.

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

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3
Sme Calculator2 marks

Rearrange 2 open parentheses w plus h close parentheses equals P to make w the subject.

w space equals .............................. 

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4
Sme Calculator2 marks

Make r the subject of the formula.

T space equals space 3 left parenthesis r space plus space 5 right parenthesis

r space equals ............................... 

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5
Sme Calculator2 marks

Make y the subject of the equation 5 x space minus 2 y space plus 7 equals space 0.

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

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1
Sme Calculator3 marks

Rearrange this formula to make x the subject.

5 x squared minus 3 y equals 4 y plus 8

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

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2
Sme Calculator4 marks

Some students dive off boards of different heights.

The speed, s m/s, that they enter the water from a board of height h metres, can be found using this formula.

s equals square root of 19.6 h end root

i)
Calculate the value of s when h = 10.
s = ................................. [2]
ii)
Make h the subject of the formula.

h = ................................. [2]

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3
Sme Calculator2 marks

A equals left parenthesis 2 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

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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5
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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