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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Practice: Rationalising a denominator with a whole number multiplying the surd"

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Show All Working: Roots equal in magnitude but opposite in sign

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Explain Back: Evaluating P of 2 for a given polynomial

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Show All Working: Adding and subtracting two polynomials

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Explain Back: A division that leaves a constant remainder

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Show All Working: A remainder of nought, and what it means

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

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Explain Back: Finding a coefficient so that a stated expression is a factor

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

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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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Show All Working: Solving a cubic that must first be rearranged

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Common Mistakes: A cubic equation arising from a volume problem

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Worked Example: Sentences that are not 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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Worked Example: Conjunction in a three-variable truth table

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

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Explain Back: Showing two statements equivalent by truth table

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