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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "Learn: Making the coefficient of x squared equal to one first"

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

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Quiz: Relative velocity when the two motions are at right angles

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

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

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Quiz: The tension in the string joining 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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Show All Working: A lift, and the person standing in it

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Worked Example: The normal reaction on a body resting on a smooth incline

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Practice: The frictional force on a body on a rough incline

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Common Mistakes: The work done against friction on an incline

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Quiz: The centripetal force, and what supplies it in a given situation

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Practice: The maximum speed and the maximum acceleration in simple harmonic motion

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Worked Example: The tension in a stretched elastic string

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Practice: The difference between an elastic string and a spring in compression

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

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Spot my mistake: Assuming AB and BA give the same matrix

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

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