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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 "Quiz me on solving cubic equations"

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Practice: Choosing a committee that must contain one particular person

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Common Mistakes: Selections in which at least one of a kind must appear

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Final Revision: Combinations used with the addition and multiplication principles

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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Worked Example: The identities for one plus tan squared and one plus cot squared

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

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

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Final Revision: Losing solutions by dividing through by cos x

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Explain Back: The effect of b in y equals sin bx on the period

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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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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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Explain Back: Deciding whether a point lies inside, on or outside a circle

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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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Final Revision: The focus-directrix definition shared by all the conics

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Learn: The range, and why it is a weak measure of spread

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