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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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623 prompts matching "Set-builder notation basics"

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Common Mistakes: Three roots in geometric progression in a cubic

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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WAEC Prep: Circular permutations of n objects round a table

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

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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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Worked Example: The difference between a permutation and a combination

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

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Show All Working: Counting the handshakes, or the lines joining n points

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

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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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WAEC Prep: The three forms of the double angle formula for cosine

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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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