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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 "Teach me the basic trigonometric identities"

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

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

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

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Worked Example: Reading the symbol used for a binary operation

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

Act as my SS1 Further Mathematics tutor. Work a question on a binary operation defined on

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

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Final Revision: Why closure is checked before any other property

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Quiz: Reading commutativity off a symmetrical operation table

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

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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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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Common Mistakes: Distributivity on a set of three elements

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