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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 "Deciding whether a set under an operation forms a group"

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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

Act as my SS 1 Further Mathematics teacher setting an examination question. Give me a ques

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Common Mistakes: Why a rational number added to an irrational one stays irrational

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Learn: Simplifying root 72 into its simplest form

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Spot My Mistake: Dividing one surd by another

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Common Mistakes: Expanding the product of two surd brackets

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Quiz: Rationalising a denominator of the form one over root 3

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Spot My Mistake: Rationalising and then cancelling a common factor

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Show All Working: Checking a rationalised answer by decimal approximation

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Learn: What a binary operation actually is

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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

I have just studied testing the integers for closure under division in my SS1 Further Math

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

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Quiz: Reading commutativity off a symmetrical operation table

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Common Mistakes: Subtraction as an example of neither law

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Show All Working: Using distributivity to simplify an expression

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