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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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605 prompts matching "When to use permutations versus combinations"

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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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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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WAEC Prep: Writing a binary operation rule from a description in words

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

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Final Revision: Deciding whether a given rule really is a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Practice: Testing a set for closure under multiplication

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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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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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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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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Common Mistakes: Subtraction as an example of neither law

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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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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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WAEC Prep: A rule where distributivity holds one way only

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