45 self-marking GCSE and IGCSE practice questions on Substitution, 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 45 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 2-4
y=4x+11
Work out the value of y when x=2.
What are the common mistakes in Substitution?
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.
Treats a squared negative number as negative instead of positive
Treated (−6)2 as −36 instead of +36 - a negative number squared is always positive
Forgot to subtract constant first
Divided £13.50 by 0.20 directly instead of subtracting the £1.50 fixed charge first
Quick answers about Substitution
How many Substitution practice questions are there?
There are 45 self-marking GCSE and IGCSE Maths questions on Substitution, 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 Substitution?
No. You can start practising Substitution straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
Show the worked solution
Substitute x=2 into the formula: y=4×2+11
Multiply first: y=8+11M1
y=19A1
Question 24 marksGrade 2-4
The number of tiles, T, needed for a pattern with n rows is: T=4n+1
(a) Work out the value of T when n=8.
(b) A larger pattern uses 61 tiles. Work out how many rows n it has.
Show the worked solution
(a) Substitute n=8 into the formula: T=4×8+1
Multiply first: T=32+1
Question 34 marksGrade 3-5
A dog walker charges:
Charge in pounds = 8 plus 6 times the number of dogs
(a) Work out the charge for walking 4 dogs.
(b) On another walk, the charge was £44. Work out how many dogs were walked.
Question 42 marksGrade 4-6
Buns cost 45p each and cakes cost £1.20 each.
Kirsty buys x buns and y cakes.
Write an expression, in terms of x and y, for the total cost of Kirsty's shopping, in pounds.
Question 52 marksGrade 5-6
The height, h (in metres), of a drone above a valley floor, where x is its horizontal distance (in metres) from a reference point, which can be negative is modelled by h=1x2−4x+10. Work out the value of h when x=−2.
Question 63 marksGrade 6-8
The kinetic energy, E joules, of a particle with speed v m/s is modelled by:
E=3×10−5×v2
Work out the value of E when v=4×103.