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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 "Why friction does not depend on the area of contact"

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

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Explain Back: Solving an equation where the surd must be isolated first

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WAEC Prep: Equating the rational and the irrational parts of an equation

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Worked Example: Reading the symbol used for a binary operation

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Explain Back: A binary operation defined on the integers

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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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Quiz: Testing the odd numbers for closure under addition

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Explain Back: Testing the integers for closure under division

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Common Mistakes: Subtraction as an example of neither law

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Quiz: Finding the identity element from an operation table

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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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Final Revision: Evaluating a numerical expression using the index laws

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Show All Working: Simplifying an expression that mixes the index types

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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Explain Back: The logarithm of one, in any base

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Show All Working: The common logarithm, to base ten

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Final Revision: The characteristic and the mantissa of a logarithm

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Spot My Mistake: Evaluating an expression using the laws of logarithms

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