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HomeCIE IGCSE MathematicsAlgebra: Indices and rules of indices
CIE · IGCSE · Mathematics

Algebra: Indices and rules of indices
Practice Questions

20 CIE IGCSE Mathematics questions on Algebra: Indices and rules of indices, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Algebra: Indices and rules of indices

Question 1 · 1 mark · Difficulty 1/3

Simplify 3x² × 4x⁵

  1. 12x⁷
  2. 12x¹⁰
  3. 7x⁷
  4. 12x³
Show answer & explanation
✓ Answer: A12x⁷
Award 1 mark for correct answer. When multiplying terms with the same base, multiply coefficients (3 × 4 = 12) and add indices (2 + 5 = 7). B is incorrect — indices should be added, not multiplied. C is incorrect — coefficients should be multiplied, not added. D is incorrect — indices should be added, not subtracted.
Question 2 · 1 mark · Difficulty 2/3

Simplify (5x⁴y²)/(10x²y⁵)

  1. x²/(2y³)
  2. x²y³/2
  3. 2x²/y³
  4. 5x²/(10y³)
Show answer & explanation
✓ Answer: Ax²/(2y³)
Award 1 mark for correct answer. Divide coefficients: 5/10 = 1/2. For x: subtract indices 4 - 2 = 2, giving x². For y: subtract indices 2 - 5 = -3, giving y⁻³ = 1/y³. Combined: (1/2) × x² × (1/y³) = x²/(2y³). B is incorrect — y should be in denominator with positive index. C is incorrect — coefficient should be 1/2, not 2. D is incorrect — coefficient not fully simplified.
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CIE IGCSE Mathematics: Algebra: Indices and rules of indices FAQ

How many CIE IGCSE Mathematics questions on Algebra: Indices and rules of indices are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Algebra: Indices and rules of indices 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: Indices and rules of indices 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: Indices and rules of indices 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: Indices and rules of indices typically tested on CIE IGCSE Mathematics papers?
Algebra: Indices and rules of indices 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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