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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,327 prompts matching "how many ways can 5 books be arranged on a shelf"

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Practice: The condition for a quadratic equation to have equal roots

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

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

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Practice: Factorising a cubic completely once one factor is known

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Common Mistakes: Three roots in geometric progression in a cubic

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Common Mistakes: The range of values of x for which an expression stays positive

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

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

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

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Practice: Choosing a committee that must contain one particular person

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Common Mistakes: Selections in which at least one of a kind must appear

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

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Common Mistakes: Giving the general solution of a trigonometric equation

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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

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Practice: The equation of a circle on a given diameter

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Common Mistakes: Identifying a conic from a general second-degree equation

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Practice: The mean deviation from the mean

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