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HomeCIE IGCSE MathematicsAlgebra: Factorisation and expansion of brackets
CIE · IGCSE · Mathematics

Algebra: Factorisation and expansion of brackets
Practice Questions

20 CIE IGCSE Mathematics questions on Algebra: Factorisation and expansion of brackets, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Algebra: Factorisation and expansion of brackets

Question 1 · 1 mark · Difficulty 1/3

Expand and simplify: 3(2x + 5) - 2(x - 4)

  1. 4x + 23
  2. 4x + 7
  3. 4x + 1
  4. 8x + 23
Show answer & explanation
✓ Answer: A4x + 23
Award 1 mark for correct expansion: 6x + 15 - 2x + 8. Award 1 mark for correct simplification: 4x + 23. B is incorrect — fails to change sign when distributing -2 to -4. C is incorrect — subtracts 8 instead of adding. D is incorrect — adds 6x and 2x instead of subtracting.
Question 2 · 1 mark · Difficulty 1/3

Factorise: x² - 81

  1. (x - 9)(x + 9)
  2. (x - 9)²
  3. (x + 9)²
  4. (x - 81)(x + 1)
Show answer & explanation
✓ Answer: A(x - 9)(x + 9)
Award 1 mark for recognising the difference of two squares: a² - b² = (a - b)(a + b) where a = x and b = 9. B is incorrect — this expands to x² - 18x + 81. C is incorrect — this expands to x² + 18x + 81. D is incorrect — this expands to x² - 80x - 81.
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CIE IGCSE Mathematics: Algebra: Factorisation and expansion of brackets FAQ

How many CIE IGCSE Mathematics questions on Algebra: Factorisation and expansion of brackets are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Algebra: Factorisation and expansion of brackets for CIE IGCSE Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CIE paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CIE IGCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Algebra: Factorisation and expansion of brackets practice with other Mathematics topics or even switch to a totally different CIE subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Algebra: Factorisation and expansion of brackets questions aligned to the official CIE IGCSE Mathematics syllabus?
Every question is written against the published CIE IGCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CIE.
How is Algebra: Factorisation and expansion of brackets typically tested on CIE IGCSE Mathematics papers?
Algebra: Factorisation and expansion of brackets appears across multiple question types on real CIE IGCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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