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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Give me an exam formula sheet for linear-quadratic simultaneous equations"

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Learn: Making one unknown the subject of the linear equation

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WAEC Prep: A pair that gives no real solution at all

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Worked Example: The degree of a polynomial in one variable

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WAEC Prep: Expressions that are not polynomials, and why not

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Learn: Setting out the division of a cubic by a linear expression

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Spot My Mistake: A division that leaves a linear remainder

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Worked Example: The remainder on dividing by x minus 3

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Practice: Showing that x plus 3 is a factor of a given polynomial

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Learn: Factorising a cubic into three linear factors

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Practice: A cubic with one real root and two complex ones

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WAEC Prep: The relation between the roots and the constant term

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Worked Example: Sentences that are not propositions

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Worked Example: Conjunction in a three-variable truth table

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Practice: Negation combined with a compound statement

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WAEC Prep: Why a conditional and its contrapositive are equivalent

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Worked Example: What a contradiction is

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Practice: Showing that a statement is a tautology

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Worked Example: The number of ways n people sit round a round table

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WAEC Prep: Beads on a necklace, and why the count halves

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Worked Example: Selections in which the order does not matter

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