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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 "Universal set and its role in set problems"

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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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Worked Example: The equation of a circle with a given centre and radius

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

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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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Worked Example: The sign convention for clockwise and anticlockwise moments

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

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Common Mistakes: What becomes of the tension when the string goes slack

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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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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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

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Common Mistakes: The energy of a body in simple harmonic motion

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

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Common Mistakes: A particle oscillating on the end of an elastic string

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Simplifying an expression before solving an equation

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