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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,014 prompts matching "Deciding whether a given rule really is a binary operation"

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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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Common Mistakes: Giving the general solution of a trigonometric equation

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Spot My Mistake: The effect of c in y equals sin x plus c

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

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Practice: The equation of a circle on a given diameter

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Spot My Mistake: The equation of the tangent to a circle at a point on it

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

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Spot My Mistake: The foci of an ellipse

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

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

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Spot My Mistake: The standard deviation of an ungrouped set of data

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

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