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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 "Arrangements restricted at the first or the last place"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

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Quiz: Checking a surd equation for extraneous roots

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Final Revision: A word problem that leads to an equation in surd form

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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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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Learn: What closure means for 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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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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Final Revision: Why closure is checked before any other property

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Learn: What it means for an operation to be commutative

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Explain Back: What it means for an operation to be associative

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Show All Working: An operation that is associative but not commutative

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Worked Example: Testing whether star distributes over plus

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Final Revision: Why distributivity links two operations rather than one

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

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Quiz: Finding the identity element from an operation table

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