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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 "The hyperbola in standard form, and its asymptotes"

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Final Revision: A word problem that uses the remainder theorem

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Worked Example: Testing a list of candidates to find a factor

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Show All Working: What the factor theorem says about the roots

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Common Mistakes: Using the factor theorem before dividing

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Final Revision: A factor theorem question set in the WAEC style

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Practice: Factorising a quartic as the product of two quadratics

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Spot My Mistake: Factorising the sum of two cubes

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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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Spot My Mistake: Finding the remaining roots once one is known

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Show All Working: Reading the final column of a truth table

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Common Mistakes: Comparing two statements by their truth tables

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Learn: The biconditional, p if and only if q

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Show All Working: The distributive laws in logic

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Common Mistakes: Simplifying a compound statement using the laws

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Final Revision: A biconditional used in a mathematical definition

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Show All Working: The negation of a tautology

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Show All Working: The fallacy of affirming the consequent

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