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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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960 prompts matching "Structured question: equation of a line through two points"

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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Common Mistakes: Writing down the roots once the brackets are found

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Final Revision: A word problem solved by factorising a quadratic

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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Common Mistakes: A sign error in the formula, and how to catch it

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Final Revision: A word problem solved with the quadratic formula

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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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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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Learn: What makes an expression a polynomial

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Common Mistakes: Multiplying one polynomial by another

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Common Mistakes: The remainder theorem applied to a quartic

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Final Revision: A word problem that uses the remainder theorem

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Common Mistakes: Using the factor theorem before dividing

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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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Learn: Solving a cubic once it has been factorised

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