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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 of an arithmetic progression with a negative common difference"

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

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Show All Working: Solving a pair of simultaneous linear inequalities

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Common Mistakes: Arrangements restricted at the first or the last place

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Explain Back: Choosing a committee with a stated number from each of two groups

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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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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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Spot My Mistake: The double angle formula for sine

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

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Common Mistakes: Giving the general solution of a trigonometric equation

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Quiz: The tangent curve and its asymptotes

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Practice: The effect of a in y equals a sin x

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Learn: The distance between two points

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Common Mistakes: The angle between two lines found from their gradients

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

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Practice: The equation of a circle on a given diameter

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