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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 "Showing a triangle is right-angled using the dot product"

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: Why a rational number added to an irrational one stays irrational

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WAEC Prep: Ordering a list of surds by size

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Show All Working: Deciding whether two given surds are equal without a calculator

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

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Worked Example: Rationalising a denominator that is a single surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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Show All Working: Checking a rationalised answer by decimal approximation

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Learn: The conjugate of a compound surd expression

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WAEC Prep: Expressing the answer in the form a plus b root c

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

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WAEC Prep: Equating the rational and the irrational parts of an equation

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

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

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Common Mistakes: Closure on a set of three elements under a stated rule

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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: An operation that is associative but not commutative

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Final Revision: Why brackets matter when an operation is not associative

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