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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,085 prompts matching "Listing elements of a set from a description"

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Worked Example: Evaluating a polynomial by substitution

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Practice: Factorising a cubic completely once one factor is known

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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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Quiz: Solving a quadratic inequality using a sign table

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Practice: Solving an inequality with the unknown in the denominator

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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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Practice: Choosing a committee that must contain one particular person

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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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Quiz: The tangent curve and its asymptotes

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Worked Example: The midpoint formula applied to a given segment

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Practice: The ellipse in standard form, and its two axes

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