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HomeCIE IGCSE MathematicsQuadratic equations and the quadratic formula
CIE · IGCSE · Mathematics

Quadratic equations and the quadratic formula
Practice Questions

20 CIE IGCSE Mathematics questions on Quadratic equations and the quadratic formula, 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 Quadratic equations and the quadratic formula.

Try 2 sample questions on Quadratic equations and the quadratic formula

Question 1 · 1 mark · Difficulty 1/3

Solve the equation x² + 5x + 6 = 0.

  1. x = -2 or x = -3
  2. x = 2 or x = 3
  3. x = -1 or x = -6
  4. x = 1 or x = 6
Show answer & explanation
✓ Answer: Ax = -2 or x = -3
Award 1 mark for correct factorisation (x + 2)(x + 3) = 0 and solution. B is incorrect because the signs are wrong — factors of 6 that sum to 5 are 2 and 3, but the equation requires negative values. C is incorrect because 1 × 6 = 6 but 1 + 6 ≠ 5. D confuses the signs of the roots.
Question 2 · 1 mark · Difficulty 2/3

A rectangular garden has length (x + 4) metres and width (x + 2) metres. The area of the garden is 48 m². Form and solve a quadratic equation to find the value of x.

  1. x = 4
  2. x = 6
  3. x = -4
  4. x = 8
Show answer & explanation
✓ Answer: Ax = 4
Award 1 mark for forming equation (x + 4)(x + 2) = 48, expanding to x² + 6x + 8 = 48, then x² + 6x - 40 = 0, factorising to (x + 10)(x - 4) = 0, and selecting positive solution x = 4. B is incorrect as it does not satisfy the equation. C is incorrect because x must be positive for a physical dimension. D is incorrect — substitution gives area of 144 m², not 48 m².
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20 questions · 25 min · free

CIE IGCSE Mathematics: Quadratic equations and the quadratic formula FAQ

How many CIE IGCSE Mathematics questions on Quadratic equations and the quadratic formula are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Quadratic equations and the quadratic formula 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 Quadratic equations and the quadratic formula 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 Quadratic equations and the quadratic formula 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 Quadratic equations and the quadratic formula typically tested on CIE IGCSE Mathematics papers?
Quadratic equations and the quadratic formula 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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