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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: Simplifying an expression containing sec and tan — I"

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

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a conjugate whe

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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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Spot My Mistake: Solving a surd equation that leads to a quadratic

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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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Quiz: Evaluating a*b from a given rule

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Practice: A binary operation set out as a table

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Spot My Mistake: A binary operation defined on a set of three elements

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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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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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Practice: Testing a set for closure under multiplication

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

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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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