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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 "Check whether my exam layout would satisfy a Cambridge examiner"

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Quiz: Checking a surd equation for extraneous roots

Act as my SS1 Further Mathematics tutor and quiz me on checking a surd equation for extran

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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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Show All Working: Showing a set is not closed by a single counter-example

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Final Revision: Why closure is checked before any other property

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Worked Example: Testing a*b against b*a for a given rule

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Practice: An operation that is not commutative, with a counter-example

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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Common Mistakes: Subtraction as an example of neither law

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

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Spot My Mistake: Finding the inverse of a given element

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Common Mistakes: Checking an inverse by working the operation both ways

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Worked Example: The law for multiplying powers of the same base

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Spot My Mistake: The law for a quotient raised to a power

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Worked Example: Rewriting a negative index as a fraction

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Spot My Mistake: A negative fractional index

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