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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 simple pendulum as an example of simple harmonic motion"

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Worked Example: Why multiplying by the conjugate clears the surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Worked Example: Reading the symbol used for 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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Practice: An operation that is not commutative, with a counter-example

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Show All Working: An operation that is associative but not commutative

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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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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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Spot My Mistake: Finding the inverse of a given element

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WAEC Prep: The inverse of the identity element itself

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

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

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