Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Inequalities — exam questions
11 original Incandio exam-style questions on inequalities, 27 marks, about 33 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 Inequalities — 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
6 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
- 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
- Find (1–5 marks)
- a value or expression obtained by a method the learner chooses
- Work out (1–5 marks)
- a calculated result, with the working that produced it
Assessed on Paper 1 and Paper 2.
Where these sit in the specification
Pearson Edexcel International GCSE Mathematics A (4MA1) — statement 2.8. 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 11 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.
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(1)Solve
Solve 3x > 12.
(Total for Question 1 = 1 mark)
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(1)Write down
Write down all the integers n that satisfy −2 < n ≤ 3.
(Total for Question 2 = 1 mark)
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(2)Solve
Solve 5x − 3 ≤ 17.
(Total for Question 3 = 2 marks)
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(2)Solve
Solve 4(x + 2) < 3x + 11.
(Total for Question 4 = 2 marks)
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(1)Explain why
Explain why the solution to −2x > 6 is x < −3 and not x > −3.
(Total for Question 5 = 1 mark)
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(3)Solve
Solve −5 ≤ 3x + 1 < 13.
(Total for Question 6 = 3 marks)
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(3)Show that
Show that 2(3x − 1) ≥ 4x + 8 is satisfied exactly when x is at least 5.
(Total for Question 7 = 3 marks)
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(3)Find
Find the largest integer n for which 7n − 4 < 52.
largest integer n = ............................
(Total for Question 8 = 3 marks)
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(4)Work out
n is an integer such that 4n + 3 > 11 and 2n − 5 ≤ 9. Work out all the possible values of n.
(Total for Question 9 = 4 marks)
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(3)Solve
Solve x² − 5x − 14 > 0.
(Total for Question 10 = 3 marks)
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(4)Solve
Solve the inequality 5 − 2x < 13, and write down the smallest integer that satisfies it.
solution and smallest integer = ............................
(Total for Question 11 = 4 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 — 11 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
- Teach it — explain inequalities to Ember, an AI pupil who does not have it yet and asks the awkward question.
- Defend it — argue it against Brahmagupta 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
- Inequalities — Solving inequalities like equations — with the one extra rule about negatives — and reading off the integers they allow.
- All of Incandio Mathematics · Incandio Exam Practice