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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,010 prompts matching "Subsets of a given set"

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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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Worked Example: The difference between a permutation and a combination

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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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Final Revision: The perpendicular distance from a point to a line

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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Final Revision: The focus-directrix definition shared by all the conics

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Worked Example: The sign convention for clockwise and anticlockwise moments

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WAEC Prep: A couple, and why its moment is the same about every point

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