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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Common Mistakes: A surd equation that has no real solution

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Practice: An operation that is not commutative, with a counter-example

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Quiz: Left distributivity and right distributivity

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Show All Working: An element with no inverse under a given operation

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Final Revision: Identity and inverse together, and what they give the set

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Learn: Reading index notation, the base and the exponent

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Quiz: A negative index on a fraction, and turning it upside down

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Common Mistakes: Writing a root as a fractional index before simplifying

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: The characteristic and the mantissa of a logarithm

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Learn: What a sequence is, and what a term means

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WAEC Prep: A finite sequence and an infinite sequence

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Final Revision: Describing a sequence in words and then in symbols

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Common Mistakes: An arithmetic progression with a negative common difference

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