Change the subject of a formula
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  • Introduction
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This worksheet is about rearranging formulae

 

Example

Rearrange this formula to make h the subject

hn + m2h = p

 

Answer

Factorise the left hand side to give

h(n + m2) = p

Divide both sides by n + m2

h = p / (n + m2)

  • Question 1
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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
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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
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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
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Make a the subject of this formula

v2 = u2 +2as

a = 2s(v2 - u2)

a = (v2 - u2)/2s

  • Question 5
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Rearrange the following formula to make w the subject

P = 2L + 2w

w = (P - 2L)/2

w = P - 2L/2

  • Question 6
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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
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Rearrange this formula to make t the subject

v = u + at

t = (v-u)/a

t = v-ua

  • Question 8
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Rearrange this formula to make m the subject

sin(x) = m/n

m = nsin(x)

m = ncos(x)

  • Question 9
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Rearrange this formula to make m the subject

mn - mp = d

m = (d + mp)/n

m = d/(n-p)

  • Question 10
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Rearrange this formula to make p the subject

mn - mp = d

p = (mn - d)/m

p = d/(n-m)

Progress