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CIE · IGCSE · Mathematics

Algebra & Sequences
Practice Questions

50 CIE IGCSE Mathematics questions on Algebra & Sequences, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Algebra & Sequences.

Try 2 sample questions on Algebra & Sequences

Question 1 · 1 mark · Difficulty 1/3

Which of the following is the correct formula for the nth term of an arithmetic sequence with first term a and common difference d?

  1. a + nd
  2. a × r^(n−1)
  3. a + (n−1)d
  4. a × (n−1)d
Show answer & explanation
✓ Answer: Ca + (n−1)d
The nth term of an arithmetic sequence is given by Uₙ = a + (n−1)d, where a is the first term and d is the common difference. Option A is the nth term formula for a geometric sequence. Option C incorrectly omits the subtraction of 1 from n. Option D confuses addition with multiplication.
Question 2 · 1 mark · Difficulty 1/3

Which of the following correctly describes a sequence defined by the recurrence relation Uₙ₊₁ = Uₙ + 5, U₁ = 2?

  1. An arithmetic sequence with common difference 5
  2. A geometric sequence with ratio 5
  3. A Fibonacci-type sequence starting at 2
  4. A quadratic sequence with second difference 5
Show answer & explanation
✓ Answer: AAn arithmetic sequence with common difference 5
Adding a constant value (5) to each term to get the next term is the definition of an arithmetic sequence with common difference d = 5. Option A describes multiplication by a constant ratio. Option B requires a constant second difference, not a constant added value. Option D requires each term to be the sum of the two preceding terms.
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CIE IGCSE Mathematics: Algebra & Sequences FAQ

How many CIE IGCSE Mathematics questions on Algebra & Sequences are there on Kramizo?
Kramizo currently has 50 exam-board-aligned practice questions on Algebra & Sequences 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 & Sequences 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 & Sequences 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 & Sequences typically tested on CIE IGCSE Mathematics papers?
Algebra & Sequences 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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