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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 "Quiz: An indicial equation that becomes a quadratic in a power"

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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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Quiz: Which values are worth testing as factors

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Practice: Showing that x plus 3 is a factor of a given polynomial

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Quiz: Factorising a polynomial by grouping terms

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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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Worked Example: How many roots a cubic equation has

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Quiz: A cubic with three distinct real roots

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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: Why a conditional with a false antecedent counts as true

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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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Quiz: What a contingency is

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Practice: Showing that a statement is a tautology

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Common Mistakes: The fallacy of denying the antecedent

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Quiz: Arrangements of a word with no repeated letters

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Show All Working: Arrangements of boys and girls alternately

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Common Mistakes: Arranging objects when some must stay in a fixed order

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