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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 "One root twice the other, and what that gives"

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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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Practice: Finding the third root of a cubic when two are known

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Worked Example: The difference between a permutation and a combination

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Show All Working: Counting the handshakes, or the lines joining n points

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Final Revision: Combinations used with the addition and multiplication principles

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Show All Working: The half angle formulae and the t-substitution

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

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

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Quiz: The tangent curve and its asymptotes

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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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Quiz: Finding the centre and the radius from the general equation

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Show All Working: The intersection of a circle and a straight line

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

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

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Final Revision: A ladder leaning against a wall, and the moments acting on it

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

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Final Revision: The distance connected particles travel before one reaches the floor

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