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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 "Quiz me on the factorising a cubic with the factor theorem"

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

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Practice: Collecting similar surds in an expression

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

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Show All Working: Simplifying a surd expression that contains brackets

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

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Common Mistakes: A surd equation that has no real solution

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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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Practice: Testing a set for closure under multiplication

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Show All Working: An operation that is associative but not commutative

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Worked Example: Testing whether star distributes over plus

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Show All Working: Using distributivity to simplify an expression

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Practice: Why an identity element must work from both sides

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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Practice: The law for a power raised to another power

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Explain Back: The law for a product raised to a power

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Worked Example: Rewriting a negative index as a fraction

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