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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "Quiz: The sum of the first fifty natural numbers"

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Practice: The ellipse in standard form, and its two axes

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Show All Working: The rectangular hyperbola xy equals c squared

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

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Practice: The mean deviation from the mean

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

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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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Practice: The frictional force on a body on a rough incline

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Show All Working: The angle at which a body just begins to slide

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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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Practice: The maximum speed and the maximum acceleration in simple harmonic motion

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Practice: The difference between an elastic string and a spring in compression

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

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Final Revision: The greatest extension reached by a falling particle on an elastic string

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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

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