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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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372 prompts matching "Show that (sqrt3+1)^2 = 4+2sqrt3"

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Common Mistakes: A surd equation that has no real solution

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Show All Working: Showing a set is not closed by a single counter-example

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

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WAEC Prep: An operation that is commutative but not associative

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Show All Working: Using distributivity to simplify an expression

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

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Show All Working: Simplifying an expression with letters and indices

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Show All Working: The common logarithm, to base ten

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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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Show All Working: Comparing logarithms given in different bases

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Show All Working: Deciding whether a given number is a term of a sequence

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Show All Working: The sum of the terms lying between two given positions

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Show All Working: A geometric progression with a fractional common ratio

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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Show All Working: Writing the solution of an inequality as a set

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