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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 "IGCSE Additional Maths Y11: Giving an exact answer in terms of pi — Exam Techniq"

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Worked Example: Rationalising a denominator that is a single surd

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

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Practice: Rationalising a denominator with a whole number multiplying the surd

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

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Learn: The conjugate of a compound surd expression

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Worked Example: Why multiplying by the conjugate clears the surd

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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: Squaring both sides safely when solving a surd equation

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Common Mistakes: A surd equation that has no real solution

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Learn: What a binary operation actually is

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Worked Example: Reading the symbol used for a binary operation

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Practice: A binary operation set out as a table

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

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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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Practice: Testing a set for closure under multiplication

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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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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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