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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 coefficient of variation, for comparing two sets"

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

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b

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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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Quiz: Left distributivity and right distributivity

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Practice: Multiplication distributing over addition in ordinary arithmetic

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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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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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Worked Example: Rewriting a negative index as a fraction

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Quiz: A negative index on a fraction, and turning it upside down

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Practice: A fractional index with numerator one, read as a root

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Spot My Mistake: A negative fractional index

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Worked Example: Solving an indicial equation where one side must be factorised first

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Quiz: An indicial equation that becomes a quadratic in a power

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Spot My Mistake: An indicial equation involving fractional bases

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Show All Working: A word problem that leads to an indicial equation

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