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Senior Secondary

Further Mathematics

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📅 36-Week WAEC Study Guide for Further Mathematics →
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Quiz: Testing the odd numbers for closure under addition

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

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WAEC Prep: A rule where distributivity holds one way only

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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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Learn: What an identity element is

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Quiz: Finding the identity element from an operation table

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WAEC Prep: The inverse of the identity element itself

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WAEC Prep: Applying two index laws inside one expression

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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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Common Mistakes: Writing a root as a fractional index before simplifying

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