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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,305 prompts matching "Solving a surd equation that gives an extraneous root"

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Quiz: Solving a quadratic inequality using a sign table

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

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Practice: Arrangements when some of the objects are identical

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

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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Show All Working: Counting the handshakes, or the lines joining n points

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Final Revision: Combinations used with the addition and multiplication principles

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

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Show All Working: The half angle formulae and the t-substitution

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

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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Worked Example: The midpoint formula applied to a given segment

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WAEC Prep: Proving two given lines parallel from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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Final Revision: The perpendicular distance from a point to a line

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Learn: The equation of a circle with its centre at the origin

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Show All Working: The intersection of a circle and a straight line

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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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