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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 "Two vectors that are equal but drawn in different places"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Common Mistakes: Expressing root 50 as a multiple of root 2

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Learn: Simplifying root 72 into its simplest form

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Learn: Why a surd is never left in the denominator

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Show All Working: A conjugate where the surd term comes first

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Common Mistakes: A surd equation that has no real solution

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Learn: What a binary operation actually is

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

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Learn: What closure means for a binary operation

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WAEC Prep: A set closed under one operation but not another

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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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Quiz: Left distributivity and right distributivity

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WAEC Prep: A rule where distributivity holds one way only

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

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Common Mistakes: Checking an inverse by working the operation both ways

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Learn: Reading index notation, the base and the exponent

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Show All Working: Simplifying an expression with letters and indices

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Common Mistakes: Why the index laws need the bases to match

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