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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 "A conditional statement set in an everyday situation"

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Worked Example: Why multiplying by the conjugate clears the surd

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Show All Working: A conjugate where the surd term comes first

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

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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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WAEC Prep: Writing a binary operation rule from a description in words

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Worked Example: Testing the even numbers for closure under addition

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Common Mistakes: Closure on a set of three elements under a stated rule

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

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WAEC Prep: An operation that is commutative but not associative

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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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Common Mistakes: Distributivity on a set of three elements

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

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WAEC Prep: The inverse of the identity element itself

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

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WAEC Prep: Applying two index laws inside one expression

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