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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"

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

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

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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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Spot My Mistake: Finding the values of c for which a line is a tangent

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Practice: Polynomial notation such as P of x

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

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Final Revision: A word problem that uses the remainder theorem

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Practice: Factorising a quartic as the product of two quadratics

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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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Quiz: A cubic with three distinct real roots

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Show All Working: Solving a cubic that must first be rearranged

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Worked Example: Sentences that are not propositions

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Show All Working: Translating an English sentence into logical symbols

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Common Mistakes: Translating a symbolic statement back into English

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Quiz: Disjunction and the inclusive or

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Practice: Negation combined with a compound statement

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Common Mistakes: Deciding between tautology, contradiction and contingency

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