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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 "IGCSE Additional Maths Y11: The instant at which two moving objects collide — IG"

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Learn: What closure means for a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd 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

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Spot My Mistake: Reading closure off an operation table

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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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Learn: What it means for an operation to be commutative

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Quiz: Reading commutativity off a symmetrical operation table

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Practice: An operation that is not commutative, with a counter-example

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Explain Back: What it means for an operation to be associative

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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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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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Learn: What an identity element is

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

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