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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,130 prompts matching "Deciding whether a number belongs to a given arithmetic progression"

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Worked Example: The intersection of two overlapping sets

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Quiz: The complement of a set within a stated universal set

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Practice: The difference of two sets, A minus B

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Final Revision: The power set, and how many subsets a set of n elements has

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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Quiz: Testing a binary operation for commutativity

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Practice: Testing a binary operation for associativity

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Learn: Simplifying a surd by extracting the largest perfect square

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Worked Example: Collecting like surds in a single sum

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Quiz: Multiplying two surds and simplifying the result

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Final Revision: Proving that root 2 is irrational

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

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Practice: Converting between index form and logarithm form

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Final Revision: Sketching the graph of a logarithmic function

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Learn: The sum and the product of the roots read from the coefficients

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

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Final Revision: Solving a disguised quadratic by substitution

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Learn: Finding alpha squared plus beta squared from the sum and product

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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