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Senior Secondary

Further Mathematics

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📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Converting the vector equation of a line into Cartesian form"

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

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of d

Worked Example: Testing the even numbers for closure under addition

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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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Quiz: Reading commutativity off a symmetrical operation table

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

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Worked Example: Testing whether star distributes over plus

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

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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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Learn: Why any non-zero number to the power nought is one

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Quiz: An indicial equation that becomes a quadratic in a power

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Spot My Mistake: An indicial equation involving fractional bases

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WAEC Prep: Rejecting a negative answer in an indicial equation

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