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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,032 prompts matching "Testing whether a binary operation is closed on a given set"

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Show All Working: Factorising a polynomial with fractional roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p

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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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Learn: Solving a cubic once it has been factorised

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Common Mistakes: A cubic equation arising from a volume problem

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Spot My Mistake: The negation of a proposition

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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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Common Mistakes: Comparing two statements by their truth tables

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Spot My Mistake: The contrapositive of a conditional

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

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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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Quiz: What a contingency is

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Worked Example: Premises and conclusion

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Common Mistakes: The fallacy of denying the antecedent

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

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Quiz: Why one person is fixed in a circular arrangement

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Common Mistakes: Comparing a line arrangement with a circular one

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