Grade 10 · Numbers · 76 pages · PDF

Powers and Roots

Clear, exam-focused notes on the laws of indices, roots, fractional and negative indices, standard form and surds, with fully worked examples.

A complete 23-page IGCSE guide to powers and roots. It covers index notation and all seven laws of indices, including zero, negative and fractional indices. It also covers square and cube roots, and the key perfect squares and cubes to memorise. Later sections cover combined index problems, solving equations with indices, calculating with standard form, and an introduction to simplifying surds. These skills are then applied to compound interest, growth and space-travel problems. Every method comes with step-by-step worked examples and common mistakes to avoid. It ends with a summary, a keyword guide and exam tips.

What's in the pack

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• Main Notes · 24 pages

  Main Notes

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

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• Cheatsheet · 2 pages

  Cheatsheet

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

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  FreeAdd for free

• Worksheet · 28 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Solutions · 22 pages

  Solutions

  Every worksheet question worked in full.

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Topics covered

• Powers and index notation
• Multiplying and dividing powers
• Power of a power
• Zero and negative indices
• Square roots and cube roots
• Fractional indices
• Negative fractional indices
• Simplifying combined index expressions
• Solving equations with indices
• Standard form
• Simplifying and adding surds
• Real-world problems with powers

Format

Print-ready PDF

Items

4

Delivery

By email