Rearranging formulae: GCSE and IGCSE Maths Practice
Rearranging formulae
Rearranging formulae
56 self-marking GCSE and IGCSE practice questions on Rearranging formulae, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.
A few of the 56 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 4-5
Make x the subject of the formula y=7x−14.
Show the worked solution
Start: y=7x−14
What are the common mistakes in Rearranging formulae?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Applies an operation to only one side of an equation when rearranging
Collected the x terms but did not also move the 1 term to the other side
Mishandles the sign of a term when moving it across the equals sign
Added the x terms together instead of subtracting when collecting them onto one side
Applies the inverse operations in the wrong order when rearranging a formula
Divides by 2 before subtracting 1, rearranging M = 2n + 1 as n = M/2 - 1 instead of correctly subtracting 1 first to get n = (M - 1)/2.
Quick answers about Rearranging formulae
How many Rearranging formulae practice questions are there?
There are 56 self-marking GCSE and IGCSE Maths questions on Rearranging formulae, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Rearranging formulae?
No. You can start practising Rearranging formulae straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
Add 14 to both sides: y+14=7xM1
Divide both sides by 7: x=(y+14)/7A1
Question 22 marksGrade 4-5
The total price, T, for hiring x chairs is: T=5x+20
Make x the subject of the formula.
Show the worked solution
Start: T=5x+20
Subtract 20 from both sides: T−20=5xM1
Divide both sides by 5: x=(T−20)/5A1
Question 32 marksGrade 4-5
A plumber's charge, C pounds, for a visit lasting h hours is: C=40h−15
Make h the subject of the formula.
Question 44 marksGrade 6-7
Make x the subject of y=5x−8.
Here is Ben's attempt:
y−8=5xx=5y−8
(a) Explain Ben's mistake.
(b) Give the correct answer.
Question 53 marksGrade 7-8
Hana tries to make x the subject of 9x+2=4x−13, and gets x=3.
Is Hana correct? Show your working to check, and give the correct answer if not.
Question 64 marksGrade 8
The ratio (y+x) : (y−x) is equivalent to k : 1.
Show that x=k+1y(k−1).