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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,232 prompts matching "IGCSE Additional Maths Y11: Permutations of a set of digits without repetition —"

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Final Revision: Proving that root 2 is irrational

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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WAEC Prep: Forming an equation whose roots are each two more than the original

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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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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Worked Example: Evaluating a polynomial by substitution

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WAEC Prep: Sketching a cubic from its factorised form

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Final Revision: Checking that the roots found satisfy the original equation

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Final Revision: Counting the number plates or codes that can be formed under a rule

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The identities for one plus tan squared and one plus cot squared

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

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

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WAEC Prep: Solving an equation by first applying a double angle formula

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Final Revision: Losing solutions by dividing through by cos x

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Worked Example: The midpoint formula applied to a given segment

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