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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,019 prompts matching "A set closed under one operation but not another"

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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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Quiz: The equation of the tangent to a parabola

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Spot My Mistake: The foci of an ellipse

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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Show All Working: The rectangular hyperbola xy equals c squared

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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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Quiz: The semi-interquartile range

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Final Revision: Reading the quartiles off a cumulative frequency curve

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Quiz: The principle of moments for a body in equilibrium

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Spot My Mistake: The point at which a loaded beam will tip about its support

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WAEC Prep: A couple, and why its moment is the same about every point

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Show All Working: Replacing two parallel forces by a single resultant

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Common Mistakes: The centre of gravity of a uniform lamina

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Final Revision: A ladder leaning against a wall, and the moments acting on it

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Quiz: Relative velocity when the two motions are at right angles

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

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