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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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737 prompts matching "Structured question: polynomial with a given remainder pattern"

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Practice: A binary operation set out as a table

Act as my SS1 Further Mathematics tutor. Give me five practice questions on a binary opera

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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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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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Practice: Testing a set for closure under multiplication

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

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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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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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Practice: Multiplication distributing over addition in ordinary arithmetic

Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Show All Working: Using distributivity to simplify an expression

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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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Practice: Why an identity element must work from both sides

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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