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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Substituting into the quadratic and tidying up"

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

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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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Worked Example: The identities for one plus tan squared and one plus cot squared

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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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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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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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Learn: The parabola y squared equals 4ax, with its focus and directrix

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

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Explain Back: The variance of an ungrouped set of data

I have just studied the variance of an ungrouped set of data in my SS3 Further Mathematics

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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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