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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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346 prompts matching "Adding surds that need simplifying first"

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Common Mistakes: The remainder theorem applied to a quartic

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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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Practice: Factorising a quartic as the product of two quadratics

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Show All Working: Factorising a polynomial with fractional roots

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Common Mistakes: Factorising fully, and knowing when to stop

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Practice: A cubic with one real root and two complex ones

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Common Mistakes: A cubic equation arising from a volume problem

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Practice: The conjunction of two 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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Practice: Negation combined with a compound statement

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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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Practice: The converse of a conditional

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Show All Working: Why a conditional and its converse are not equivalent

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

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Practice: What logical equivalence means

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Show All Working: The distributive laws in logic

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Show All Working: The negation of a tautology

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