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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"

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Worked Example: Finding one over alpha plus one over beta

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Practice: Solving an inequality with the unknown in the denominator

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Learn: The meaning of n factorial, and how to evaluate it

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Worked Example: The number of arrangements of n different objects in a row

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Learn: The meaning of n choose r, and how to evaluate it

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Worked Example: The difference between a permutation and a combination

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Practice: The compound angle formula for cosine of A minus B

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Spot My Mistake: The double angle formula for sine

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

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Practice: Solving an equation of the form sin of 2x equals a given value

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

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Spot My Mistake: The general form ax plus by plus c equals nought

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Worked Example: The equation of a circle with a given centre and radius

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Spot My Mistake: The equation of the tangent to a circle at a point on it

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Practice: The ellipse in standard form, and its two axes

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