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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 "Spotting the pattern in a sequence of squares or cubes"

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Explain Back: Finding alpha squared beta plus alpha beta squared

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

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Show All Working: Solving a cubic equation by factorisation

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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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Show All Working: Three roots in arithmetic progression in a cubic

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Quiz: The number of arrangements of r objects chosen from n

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Practice: Arrangements when some of the objects are identical

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

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Quiz: Choosing a committee of r people from n

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

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Final Revision: Combinations used with the addition and multiplication principles

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Final Revision: Proving an identity by working on one side only

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Final Revision: The perpendicular distance from a point to a line

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Practice: The equation of a circle on a given diameter

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

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Quiz: The equation of the tangent to a parabola

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Spot My Mistake: The foci of an ellipse

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Final Revision: The focus-directrix definition shared by all the conics

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