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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "The point of contact when a line touches a curve"

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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Worked Example: Evaluating a polynomial by substitution

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Common Mistakes: Three roots in geometric progression in a cubic

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Quiz: Solving a quadratic inequality using a sign table

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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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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Final Revision: Losing solutions by dividing through by cos x

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Common Mistakes: Identifying a conic from a general second-degree equation

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

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Final Revision: Showing that a given motion is simple harmonic

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Spot My Mistake: A particle hanging in equilibrium on an elastic string

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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

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Spot my mistake: Treating any vector with small components as a unit vector

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

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Factorising an expression with a common algebraic bracket factor

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