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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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866 prompts matching "proving a statement is a tautology"

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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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Common Mistakes: Identifying a conic from a general second-degree equation

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Learn: The range, and why it is a weak measure of spread

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Common Mistakes: The coefficient of variation, for comparing two sets

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Worked Example: The sign convention for clockwise and anticlockwise moments

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WAEC Prep: A couple, and why its moment is the same about every point

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Common Mistakes: The centre of gravity of a uniform lamina

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

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

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

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Quiz: The velocity of a body in simple harmonic motion at a given displacement

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Explain Back: The displacement written as x equals a sin omega t

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

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Final Revision: Showing that a given motion is simple harmonic

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

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

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