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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,325 prompts matching "Rationalising when both terms of the denominator are surds"

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

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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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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WAEC Prep: Pascal's triangle and the combination numbers in it

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Worked Example: The midpoint formula applied to a given segment

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WAEC Prep: Proving two given lines parallel from their gradients

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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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WAEC Prep: The hyperbola in standard form, and its asymptotes

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

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

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

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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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WAEC Prep: The conical pendulum

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

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