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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 "Explaining why a^1/n means the nth root of a"

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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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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Worked Example: Evaluating a polynomial by substitution

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Final Revision: Proving an identity by working on one side only

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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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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Show All Working: Replacing two parallel forces by a single resultant

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Learn: Two particles joined by a light inextensible string over a smooth pulley

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Learn: Angular velocity, and how it relates to linear speed

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Show All Working: A mass on a spring performing simple harmonic motion

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Final Revision: Showing that a given motion is simple harmonic

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Inequality word problem with a real-life constraint

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Factorising an expression with a common algebraic bracket factor

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Simplifying algebraic fractions that need factorising a quadratic first

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Solving an equation formed by equating two algebraic fractions

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