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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 "A particle hanging in equilibrium on an elastic string"

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Practice: Forming an equation from a given sum and product

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Final Revision: One root twice the other, and what that gives

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Learn: What makes an expression in the roots symmetric

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Common Mistakes: A symmetric function needing the sum and product twice over

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Final Revision: Using a symmetric function to find an unknown coefficient

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Spot My Mistake: A pair with equal roots, meaning one solution only

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Show All Working: A simultaneous pair in which the second equation is a circle

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Final Revision: A word problem about a line and a parabola

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Quiz: The leading term and the constant term

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Common Mistakes: Multiplying one polynomial by another

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Explain Back: A division that leaves a constant remainder

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Common Mistakes: The degree of the quotient and of the remainder

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Common Mistakes: Factorising fully, and knowing when to stop

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Final Revision: Checking a factorisation by expanding it again

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