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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 decimal expansion of an irrational number, and why it never repeats"

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Spot My Mistake: The power law of logarithms

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Final Revision: Sketching the graph of a logarithmic function

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Learn: The sum of the roots of a cubic read from its coefficients

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Quiz: The product of the roots of a cubic

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

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

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Common Mistakes: Giving the general solution of a trigonometric equation

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

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Spot My Mistake: The effect of c in y equals sin x plus c

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

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Quiz: The gradient of the line through two points

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Practice: The equation of a line through a point with a given gradient

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

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