Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Practice: Arrangements when some of the objects are identical"
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Final Revision: Deciding whether a given rule really is a binary operation
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Subscribe to unlock allQuiz: Testing the odd numbers for closure under addition
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Subscribe to unlock allPractice: Testing a set for closure under multiplication
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Subscribe to unlock allCommon Mistakes: Closure on a set of three elements under a stated rule
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Subscribe to unlock allFinal Revision: Why closure is checked before any other property
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Subscribe to unlock allPractice: An operation that is not commutative, with a counter-example
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Subscribe to unlock allPractice: Multiplication distributing over addition in ordinary arithmetic
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Subscribe to unlock allCommon Mistakes: Distributivity on a set of three elements
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Subscribe to unlock allFinal Revision: Why distributivity links two operations rather than one
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Subscribe to unlock allQuiz: Finding the identity element from an operation table
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Subscribe to unlock allPractice: Why an identity element must work from both sides
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Subscribe to unlock allCommon Mistakes: Checking an inverse by working the operation both ways
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Subscribe to unlock allFinal Revision: Identity and inverse together, and what they give the set
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Subscribe to unlock allSpot My Mistake: The law for a quotient raised to a power
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Subscribe to unlock allCommon Mistakes: Why the index laws need the bases to match
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Subscribe to unlock allFinal Revision: Evaluating a numerical expression using the index laws
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Subscribe to unlock allPractice: A fractional index with numerator one, read as a root
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Subscribe to unlock allShow All Working: Simplifying an expression that mixes the index types
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Subscribe to unlock allFinal Revision: Converting an answer back out of index form
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Subscribe to unlock allShow All Working: The common logarithm, to base ten
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