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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 "Surd answers in area and perimeter questions"

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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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Common Mistakes: Giving the general solution of a trigonometric equation

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Final Revision: Losing solutions by dividing through by cos x

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

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Learn: The distance between two points

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

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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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Worked Example: The equation of a circle with a given centre and radius

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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 equation of the circle through three given points

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Learn: The parabola y squared equals 4ax, with its focus and directrix

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Common Mistakes: Identifying a conic from a general second-degree equation

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

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Final Revision: Reading the quartiles off a cumulative frequency curve

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