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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,042 prompts matching "Structured question: stationary point on a curve with an unknown constant"

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Worked Example: The discriminant used as the test for intersection

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Practice: The condition for the line to be a tangent

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Explain Back: The condition for the line never to meet the curve

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Common Mistakes: Multiplying one polynomial by another

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Explain Back: A division that leaves a constant remainder

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

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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: Translating a symbolic statement back into English

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Explain Back: The truth table for a statement with two connectives

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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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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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Common Mistakes: A probability found by counting arrangements

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Worked Example: Reading the coefficients of an expansion off Pascal's triangle

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Common Mistakes: The link between Pascal's triangle and combinations

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Worked Example: Finding the fifth term of an expansion

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