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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 "Expressing the answer in the form a plus b root c"

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Explain Back: Solving a quadratic in sin x

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Final Revision: Losing solutions by dividing through by cos x

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

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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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Practice: The mean deviation from the mean

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Learn: The velocity of one body relative to another

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

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Learn: Two particles joined by a light inextensible string over a smooth pulley

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Worked Example: The common acceleration of two connected particles

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Practice: A particle on a smooth table connected to a hanging particle

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Explain Back: A particle on a rough table connected to a hanging particle

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Learn: Angular velocity, and how it relates to linear speed

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Practice: A car rounding a bend on a level road

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Explain Back: A car on a banked track

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

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