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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 "Practice: The components of a vector given its magnitude and direction"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Practice: A binary operation set out as a table

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Spot My Mistake: A binary operation defined on a set of three elements

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Practice: Testing a set for closure under multiplication

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Spot My Mistake: Reading closure off an operation table

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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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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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Learn: What it means for one operation to distribute over another

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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Practice: Why an identity element must work from both sides

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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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Learn: Reading index notation, the base and the exponent

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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