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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "Completing the square with a fractional coefficient of x"

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Final revision: my three hardest Further Maths topics

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Worked Example: Testing whether a binary operation is closed on a given set

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Practice: The condition for a quadratic equation to have equal roots

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Practice: Finding alpha minus beta from the sum and the product

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Explain Back: Arrangements in which two particular objects must stay together

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Worked Example: The difference between a permutation and a combination

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Worked Example: The midpoint formula applied to a given segment

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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Practice: The ellipse in standard form, and its two axes

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

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Explain Back: The course to steer so that a boat crosses straight over

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

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

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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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