Foundation & Higher

Rearranging formulae: GCSE Maths revision

Changing the subject means rearranging a formula so a different letter is on its own. Use inverse operations, just like solving equations.

One-step and two-step

Make u the subject of v = u + at

Subtract at: u = v − at

Make r the subject of C = 2πr

Divide by 2π: r = C / 2π

Try these questions

Cover the answers and have a go first. Worked solutions are underneath.

Question 1 [2 marks]

Make a the subject of v = u + at

Question 2 [2 marks]

Make x the subject of y = 3x + 2

Question 3 [2 marks]

Make r the subject of A = πr² (r > 0)

Question 4 [2 marks]

Make b the subject of a = (b + c) / 2

Common mistakes

Answers and working

Q1. a = (v − u) / t
Q2. x = (y − 2) / 3
Q3. r = √(A / π)
Q4. b = 2a − c

Frequently asked questions

What does “subject” mean?

The subject is the letter on its own on one side of the formula, usually the left.

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