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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Closure on a set of three elements under a stated rule"

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

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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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WAEC Prep: The length of the tangent from an external point

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

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Explain Back: The eccentricity of an ellipse

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

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WAEC Prep: The closest approach of two moving ships

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Show All Working: The time at which two bodies are nearest one another

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Final Revision: Interception, where one body must catch another

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Show All Working: A lift, and the person standing in it

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Final Revision: The distance connected particles travel before one reaches the floor

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Common Mistakes: The work done against friction on an incline

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Show All Working: A body in a vertical circle, and the tension at the top

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Common Mistakes: The condition for a body to complete a vertical circle

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Show All Working: A mass on a spring performing simple harmonic motion

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Final Revision: Showing that a given motion is simple harmonic

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Show All Working: The work done in stretching an elastic string

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