Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Linear Equations — exam questions
10 original Incandio exam-style questions on Linear Equations, 26 marks, about 32 minutes of writing. Each one carries the command word, the tariff and the specification statement it assesses, exactly as a paper presents them. This is an original Incandio practice question, written to reflect the structure and demands of the qualification. It is not an official Pearson Edexcel past-paper question.
This is the practice set for Linear Equations — the module that teaches it. Read the module first if the idea is new; come here when you want to find out whether you can turn it into marks. Completely free, no account needed to read.
What these questions ask of you
5 command words run through this set, and on Pearson Edexcel International GCSE Mathematics A each one means something precise. Answering the wrong command is the commonest way a candidate who understands the module still loses the mark.
- Solve (1–4 marks)
- the value(s) of the unknown that satisfy the equation
- Work out (1–5 marks)
- a calculated result, with the working that produced it
- Write down (1–2 marks)
- a value that needs no working — read off, recalled or stated
- Explain why (1–2 marks)
- one short justification — mathematics almost never asks for extended explanation
- Show that (2–5 marks)
- every step of a derivation to a value that is already printed in the question Misread as: stating the printed answer again instead of deriving it
Assessed on Paper 1 and Paper 2.
Where these sit in the specification
Pearson Edexcel International GCSE Mathematics A (4MA1) — statement 2.4. Incandio is aligned to this specification; it is not published by, endorsed by or affiliated with Pearson, and it reproduces none of Pearson's wording.
The 10 questions
Answer them on paper, then open the module's exam practice to have them marked. The mark scheme, the accepted and rejected answers and the annotated model answer are in Incandio and are not printed here — an answer beside its question is not practice.
-
(1)Solve
Solve 4x = 26.
(Total for Question 1 = 1 mark)
-
(2)Solve
Solve 7x − 9 = 40.
(Total for Question 2 = 2 marks)
-
(3)Solve
Solve 5(2x − 3) = 3x + 27.
(Total for Question 3 = 3 marks)
-
(3)Solve
Solve (3x + 1)/4 = (x + 6)/3.
(Total for Question 4 = 3 marks)
-
(4)Work out
The three angles of a triangle are 2x°, (3x + 10)° and (x − 22)°. Work out the size of the largest angle.
size of the largest angle = ............................
(Total for Question 5 = 4 marks)
-
(1)Write down
A number is multiplied by 6 and then 11 is subtracted. The result is 43. Write down an equation for this, using n for the number.
(Total for Question 6 = 1 mark)
-
(3)Solve
Solve 9 − 2x = 4x − 15.
(Total for Question 7 = 3 marks)
-
(1)Explain why
A student solving 3x + 8 = 3x + 12 gets stuck. Explain why this equation has no solution.
(Total for Question 8 = 1 mark)
-
(5)Work out
The perimeter of a rectangle is 74 cm. Its length is 5 cm more than three times its width. Work out the area of the rectangle.
area of the rectangle = ............................
(Total for Question 9 = 5 marks)
-
(3)Show that
The angles on a straight line are (4y + 7)°, (2y − 7)° and 3y°. Show that y = 20.
(Total for Question 10 = 3 marks)
Have them marked, then defend the answer
Practice tells you the mark; teaching it back tells you whether you understand it. On Incandio a topic counts as mastered only once you have taught it and defended it.
- Mark these questions — 10 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
- Teach it — explain Linear Equations to Ember, an AI pupil who does not have it yet and asks the awkward question.
- Defend it — argue it against Muhammad al-Khwarizmi over three rounds, marked against descriptors you can read first.
Completely free. No subscriptions, no paywalls, no account needed to start.
Back to the module
- Linear Equations — Solving any equation with one unknown — both sides, brackets, fractions — by doing the same thing to both sides, every time.
- All of Incandio Mathematics · Incandio Exam Practice