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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 "Structured question: probability using combinations, exam style"

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Worked Example: Adding two surds that simplify to the same root

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Worked Example: Rationalising a denominator that is a single surd

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Worked Example: Why multiplying by the conjugate clears the surd

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Worked Example: Squaring both sides safely when solving a surd equation

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

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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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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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Explain Back: Showing distributivity fails by a counter-example

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

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

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Final Revision: Evaluating a numerical expression using the index laws

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Worked Example: Rewriting a negative index as a fraction

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Worked Example: Solving an indicial equation where one side must be factorised first

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Worked Example: Writing an index statement as a logarithm

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Worked Example: The law for the logarithm of a quotient

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

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