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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 "Quiz me on arranging objects round a circle when two must sit together"

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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WAEC Prep: Writing a solution set in interval notation

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

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Final Revision: The region of the plane satisfying a set of linear inequalities

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

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Show All Working: Arrangements of the letters of a given word

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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: Choosing a committee that must contain one particular person

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WAEC Prep: Pascal's triangle and the combination numbers in it

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

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Final Revision: Combinations used with the addition and multiplication principles

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

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Worked Example: The identities for one plus tan squared and one plus cot squared

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

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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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WAEC Prep: Solving an equation by first applying a double angle formula

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