Robinson Tuition
Grade 7 · Higher · free GCSE maths worksheet

Rearranging formulae where the subject appears twice

Factorising after collecting terms.

11 original questions, 42 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Make x the subject of

4(x + a) = 3x + b

3 marks
Show answer
x = b - 4a
2

Assume a ≠ b.

Make x the subject of

ax = bx + c

3 marks
Show answer
x = ca-b
3

Make t the subject of

w = 5(t + 3)t

3 marks
Show answer
t = 15w-5
4

Make r the subject of

P = 2(r + h)r

4 marks
Show answer
r = 2h/(P - 2)
5

Make m the subject of

k = 3m − 2m + 4

4 marks
Show answer
m = 4k+23-k
6

Assume a ≠ 5.

Make p the subject of

5(p − q) = ap + 7

4 marks
Show answer
p = 5q+75-a
7

Make x the subject of

y = 2x + 5x − 3

4 marks
Show answer
x = (3y + 5)/(y - 2)
8

Make v the subject of

1f = 1u + 1v

4 marks
Show answer
v = fuu-f
9

Make x the subject of

y = √[x + 1x − 1]

4 marks
Show answer
x = y2+1y2-1
10

Make v the subject of

T = √[2vv − 3]

4 marks
Show answer
v = 3T2T2-2
11

Make x the subject of

y = xx + 2 + 3

5 marks
Show answer
x = (6 - 2y)/(y - 4)

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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