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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "IGCSE Additional Maths Y10: An exact answer left in surd form — Worked Example"

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Practice: Factorising a quadratic with a common factor taken out first

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Common Mistakes: Writing down the roots once the brackets are found

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Final Revision: A word problem solved by factorising a quadratic

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Learn: Making the coefficient of x squared equal to one first

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Practice: Working through a quadratic by completing the square, step by step

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Final Revision: Why completing the square always works

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Learn: Deriving the quadratic formula by completing the square

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Practice: Giving the roots correct to two decimal places

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Explain Back: Leaving the roots of a quadratic in surd form

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Final Revision: A word problem solved with the quadratic formula

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Learn: The sum of the roots as minus b over a

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Worked Example: The product of the roots as c over a

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Explain Back: Finding a missing coefficient from a stated sum of roots

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Practice: The value of alpha to the fourth plus beta to the fourth

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Explain Back: The value of alpha minus beta, all squared

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Learn: Making one unknown the subject of the linear equation

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Practice: Finding the matching value of the second unknown

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Final Revision: Checking both solutions in both equations

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Learn: Forming the quadratic that decides where a line meets a curve

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