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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "Practice: Deciding whether root 16 is rational or irrational"

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Quiz: Forming a quadratic equation whose roots are given

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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WAEC Prep: Sketching a cubic from its factorised form

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Show All Working: Solving a cubic equation by factorisation

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Common Mistakes: Three roots in geometric progression in a cubic

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Practice: Solving an inequality with the unknown in the denominator

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Common Mistakes: The range of values of x for which an expression stays positive

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Common Mistakes: Arrangements restricted at the first or the last place

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Practice: The compound angle formula for cosine of A minus B

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Spot My Mistake: The double angle formula for sine

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Practice: Solving an equation of the form sin of 2x equals a given value

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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Spot My Mistake: The general form ax plus by plus c equals nought

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Common Mistakes: The condition for a line to be a tangent to a circle

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Practice: The ellipse in standard form, and its two axes

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Common Mistakes: The coefficient of variation, for comparing two sets

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Worked Example: The sign convention for clockwise and anticlockwise moments

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