Grade 10-11 · Algebra · 73 pages · PDF

The Quadratic Formula

Clear, exam-focused notes on solving quadratics with the formula, the discriminant and exact surd answers, with fully worked examples.

A concise 15-page IGCSE guide to the quadratic formula. It starts with writing equations in standard form and identifying a, b and c correctly, then shows how the formula is derived by completing the square. It then teaches how to use the formula step by step, giving answers as decimals or as exact surds. It also covers the discriminant: what it tells you about the number of roots, how it links to the graph, and how to find unknown coefficients. It finishes with guidance on choosing between factorisation, completing the square and the formula. Every method comes with worked examples and common mistakes to avoid. It ends with a summary checklist and exam tips.

What's in the pack

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• Main Notes · 16 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Cheatsheet · 1 page

  Cheatsheet

  The whole topic on a page or two, for the night before.

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  FreeAdd for free

• Worksheet · 30 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Solutions · 26 pages

  Solutions

  Every worksheet question worked in full.

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Topics covered

• Standard form and identifying a, b and c
• Deriving the quadratic formula
• Solving with the quadratic formula
• Answers to decimal places
• Exact answers in surd form
• The discriminant
• Number of real roots
• Finding unknown coefficients
• Graphical interpretation and the vertex
• Equations with no real solutions
• Choosing the right solving method
• Summary and exam tips

Format

Print-ready PDF

Items

4

Delivery

By email