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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 "The compound angle formula for tan of A plus B"

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Final Revision: Surds that cannot be combined at all

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Practice: Multiplying a whole number by a surd

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Show All Working: Simplifying a surd expression that contains brackets

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Worked Example: Rationalising a denominator that is a single surd

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Show All Working: Checking a rationalised answer by decimal approximation

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Final Revision: Checking a conjugate answer by multiplying back

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Worked Example: Squaring both sides safely when solving a surd equation

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Practice: Solving an equation with a surd on each side

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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Common Mistakes: A surd equation that has no real solution

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Quiz: Evaluating a*b from a given rule

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Practice: A binary operation set out as a table

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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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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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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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