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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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813 prompts matching "Finding a missing intersection from set sizes"

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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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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Common Mistakes: Three roots in geometric progression in a cubic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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Practice: Solving an inequality with the unknown in the denominator

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

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Practice: Arrangements when some of the objects are identical

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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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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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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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