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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 "A word problem about seats in the rows of a hall"

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

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Show All Working: Proving two given lines perpendicular from their gradients

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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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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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

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

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Learn: The velocity of one body relative to another

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Explain Back: The course to steer so that a boat crosses straight over

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

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Common Mistakes: The relative displacement of two bodies after a given time

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Final Revision: Interception, where one body must catch another

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