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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 "Function machines as an introduction to function notation"

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Worked Example: Substituting into the quadratic and tidying up

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Explain Back: Writing the answers as ordered pairs

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

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Quiz: Which values are worth testing as factors

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

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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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Final Revision: Checking a factorisation by expanding it again

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Worked Example: How many roots a cubic equation has

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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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Quiz: The biconditional as two conditionals taken together

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Practice: Circular arrangements with two people together

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Common Mistakes: The number of ways of dividing a class into groups

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

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Practice: The symmetry of a row of Pascal's triangle

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