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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "Writing the answers as ordered pairs"

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Final Revision: Solving a disguised quadratic by substitution

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Worked Example: Finding one over alpha plus one over beta

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Explain Back: Forming a cubic equation whose three roots are given

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Common Mistakes: Three roots in geometric progression in a cubic

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Explain Back: Solving an inequality that involves a modulus

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Practice: Choosing a committee that must contain one particular person

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Explain Back: Choosing a committee with a stated number from each of two groups

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Final Revision: Proving an identity by working on one side only

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Explain Back: Solving a quadratic in sin x

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Final Revision: Losing solutions by dividing through by cos x

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Common Mistakes: Identifying a conic from a general second-degree equation

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Practice: A uniform beam resting on two supports

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Learn: Two particles joined by a light inextensible string over a smooth pulley

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