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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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878 prompts matching "Structured question: circle with a diameter given by two endpoints"

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Common Mistakes: The remainder theorem applied to a quartic

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

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Explain Back: Finding a coefficient so that a stated expression is a factor

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Common Mistakes: Using the factor theorem before dividing

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

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Common Mistakes: Factorising fully, and knowing when to stop

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Worked Example: How many roots a cubic equation has

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Common Mistakes: A cubic equation arising from a volume problem

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Worked Example: Sentences that are not propositions

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Common Mistakes: Translating a symbolic statement back into English

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Worked Example: Conjunction in a three-variable truth table

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Worked Example: The truth table for the conditional

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Practice: The converse of a conditional

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Explain Back: The inverse of a conditional

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

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Worked Example: The truth table for the biconditional

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Practice: What logical equivalence means

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Common Mistakes: Simplifying a compound statement using the laws

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Worked Example: What a contradiction is

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Practice: Showing that a statement is a tautology

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