Change the subject of a formula
• Introduction

This worksheet is about rearranging formulae

Example

Rearrange this formula to make h the subject

hn + m2h = p

Factorise the left hand side to give

h(n + m2) = p

Divide both sides by n + m2

h = p / (n + m2)

• Question 1

Rearrange the following formula to make the letter in the brackets the subject.

 A= (a+b)h 2 , (h)

h = 2A/(a+b)

h =2(a+b)/A

h = 2A(a+b)

• Question 2

Rearrange the following formula to made the letter in the brackets the subject.

 V = ABC , (B)

B = VAC

B = AC/V

B = V/AC

• Question 3

Rearrange the following formula to made the letter in the brackets the subject.

E = mgh , (m)

m = E/gh

m = Egh

m = gh/E

• Question 4

Make a the subject of this formula

v2 = u2 +2as

a = 2s(v2 - u2)

a = (v2 - u2)/2s

• Question 5

Rearrange the following formula to make w the subject

P = 2L + 2w

w = (P - 2L)/2

w = P - 2L/2

• Question 6

Rearrange this formula to make h the subject

Cos(x) = n/h

h = Cos(x) / n

h = n Cos(x)

h = n/Cos(x)

• Question 7

Rearrange this formula to make t the subject

v = u + at

t = (v-u)/a

t = v-ua

• Question 8

Rearrange this formula to make m the subject

sin(x) = m/n

m = nsin(x)

m = ncos(x)

• Question 9

Rearrange this formula to make m the subject

mn - mp = d

m = (d + mp)/n

m = d/(n-p)

• Question 10