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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 "WAEC Further Mathematics: matrices in a real-world context"

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Practice: Testing a set for closure under multiplication

Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set

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Spot My Mistake: Reading closure off an operation table

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Show All Working: Showing a set is not closed by a single counter-example

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Final Revision: Why closure is checked before any other property

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Worked Example: Testing a*b against b*a for a given rule

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Quiz: Reading commutativity off a symmetrical operation table

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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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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Spot My Mistake: Checking distributivity from two operation tables

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Show All Working: Using distributivity to simplify an expression

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Final Revision: Why distributivity links two operations rather than one

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Quiz: Finding the identity element from an operation table

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Spot My Mistake: Finding the inverse of a given element

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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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Final Revision: Identity and inverse together, and what they give the set

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