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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,246 prompts matching "Set theory laws: commutative and associative"

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Practice: The difference of two sets, A minus B

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WAEC Prep: The number of elements in the union of two sets

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Show All Working: A three-set Venn diagram drawn from a subject survey

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WAEC Prep: Completing a Cayley table for an operation on a small set

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Final Revision: Deciding whether a set under an operation forms a group

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Worked Example: The discriminant, and what each of its three cases means

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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WAEC Prep: Writing a solution set in interval notation

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

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

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

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

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