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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Pi and root 2 as the two best-known irrational numbers"

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Learn: The moment of a force about a point, and its units

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

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Worked Example: The common acceleration of two connected particles

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WAEC Prep: A car towing a trailer, and the force in the tow bar

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Show All Working: A lift, and the person standing in it

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

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Explain Back: The angle of friction, and the coefficient of friction

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Spot My Mistake: The least force needed to move a body up a rough incline

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

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Show All Working: A body in a vertical circle, and the tension at the top

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

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

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WAEC Prep: The simple pendulum as an example of 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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Spot my mistake: Treating the rth term of a binomial expansion as the one carrying the rth power

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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion

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