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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 "Explaining why a^1/n means the nth root of a"

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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WAEC Prep: A phase shift in y equals sin of x minus d

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

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Learn: The parabola y squared equals 4ax, with its focus and directrix

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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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Worked Example: The sign convention for clockwise and anticlockwise moments

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

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Worked Example: Relative velocity when two bodies move along the same line

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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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Learn: Resolving the weight along and perpendicular to an inclined plane

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