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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 "The parameter in the vector equation of a line"

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Quiz: Checking a surd equation for extraneous roots

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Practice: Solving an equation with a surd on each side

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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Worked Example: Reading the symbol used for a binary operation

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

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

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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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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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Common Mistakes: Subtraction as an example of neither law

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Worked Example: Testing whether star distributes over plus

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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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Final Revision: Converting an answer back out of index form

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