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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Learn: Why a surd is never left in the denominator"

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Practice: Finding the third root of a cubic when two are known

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Practice: Solving an inequality with the unknown in the denominator

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Worked Example: The number of arrangements of n different objects in a row

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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Worked Example: The difference between a permutation and a combination

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

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Final Revision: Proving an identity by working on one side only

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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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Final Revision: Losing solutions by dividing through by cos x

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Worked Example: The shape, period and range of the cosine curve

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Practice: The effect of a in y equals a sin x

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Worked Example: The midpoint formula applied to a given segment

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Practice: The equation of a line through a point with a given gradient

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

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Worked Example: The parametric form of a point on a parabola

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

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Spot My Mistake: The foci of an ellipse

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