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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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376 prompts matching "Showing distributivity fails by a counter-example"

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

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Quiz: Solving an index equation by writing both sides to the same base

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Worked Example: The discriminant, and what each of its three cases means

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Show All Working: Solving a quadratic by completing the square

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

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Show All Working: Solving a cubic equation by factorisation

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Spot My Mistake: Showing the solution of an inequality on a number line

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Worked Example: The number of arrangements of n different objects in a row

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Worked Example: The difference between a permutation and a combination

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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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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Final Revision: Losing solutions by dividing through by cos x

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