Algebra · Guided Practice

Change of Subject

18 questions with answers and video solutions. Try each one before revealing the answer.

1
Change the subject of the formula to x\displaystyle x
y=mx+c\displaystyle y=mx+c

No hints on this one — its full written solution is with the answer.

2
Change the subject of the formula to m\displaystyle m
e=mc2\displaystyle e = mc^2

No hints on this one — its full written solution is with the answer.

3
Change the subject of the formula to c\displaystyle c
e=mc2\displaystyle e = mc^2

No hints on this one — its full written solution is with the answer.

4
Change the subject of the formula to a\displaystyle a
v2=u2+2as\displaystyle v^2=u^2+2as

No hints on this one — its full written solution is with the answer.

5
Change the subject of the formula
a=bc−d\displaystyle a=b \sqrt{c}-d to c.\displaystyle c.

No hints on this one — its full written solution is with the answer.

6
Change the subject of the formula
r=s − t4\displaystyle \large r=\frac{s\,-\,t}{4} \normalsize to t.\displaystyle t\small.

No hints on this one — its full written solution is with the answer.

7
Change the subject of the formula
ax+bx=c\displaystyle ax+bx=c to x.\displaystyle x\small.

No hints on this one — its full written solution is with the answer.

8
2014 P2 Q11
3 Marks

Change the subject of the formula
s=ut+12at2\displaystyle s=ut+\large\frac{1}{2}\normalsize at^2 to a.\displaystyle a.

9
2016 P2 Q12
3 Marks

Change the subject of the formula L=4kt−p\displaystyle L=\sqrt{4kt-p} to k\displaystyle k.

10
2017 P1 Q10
3 Marks

Change the subject of the formula F=t2+4bc\displaystyle F=\frac{t^{2}+4b}{c} to b.\displaystyle b.

11
2018 P1 Q14
3 Marks

Change the subject of the formula y=gx+h\displaystyle y=g\sqrt{x}+h to x\displaystyle x.

12
2019 P1 Q7
3 Marks

The area of a trapezium is given by the formula
A=12h(x+y).\displaystyle A=\frac{1}{2}h(x+y).
Make x\displaystyle x the subject of the formula.

13
2021 P2 Q10

Change the subject of the formula
d=3h2\displaystyle d=\sqrt{\large\frac{3h}{2}\normalsize } to h.\displaystyle h\small.

No hints on this one — its full written solution is with the answer.

14
2022 P1 Q7
2 Marks

Change the subject of the formula D=B+4C2\displaystyle D=\frac{B+4}{C^{2}} to B\displaystyle B.

15
2023 P2 Q7
3 Marks

Change the subject of the formula
P=13mn−r\displaystyle P=\large\frac13\normalsize mn-r to m.\displaystyle m.

16
2024 P2 Q9
3 Marks

Change the subject of the formula f=2d+3e\displaystyle f = \frac{2d+3}{e} to d.\displaystyle d.

17
2025 P2 Q9
3 Marks

Change the subject of the formula B=14kc2−3c\displaystyle B = \frac{1}{4}kc^{2}-3c to k.\displaystyle k.

18
2026 P1 Q8
2 Marks
Change the subject of the following formula to T.
P=T−3L\displaystyle P=\sqrt{T-3L}

Keep practising

More change of subject questions

New questions, modelled on past paper questions and checked against their marking instructions. Not reprints — you have not seen these before.

Practice questions courtesy of Maths.scot. Full written solutions are on his site — the links above go straight to them.