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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 "The sum to infinity of a geometric progression, and when it exists"

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Learn: The degree of a polynomial and its leading coefficient

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: Solving tan x equals a given value, and the period of the tangent

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Learn: The shape, period and range of the sine curve

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Worked Example: The shape, period and range of the cosine curve

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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Worked Example: The equation of a circle with a given centre and radius

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Spot My Mistake: The equation of the tangent to a circle at a point on it

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Quiz: The equation of the tangent to a parabola

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Learn: The range, and why it is a weak measure of spread

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Spot My Mistake: The standard deviation of an ungrouped set of data

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

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Learn: The velocity of one body relative to another

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Spot My Mistake: Two particles on a pulley at the top of an inclined plane

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

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

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Final Revision: The period and the frequency of circular motion

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

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