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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 "The inverse of a 2 by 2 matrix as one over the determinant times the adjoint"

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

Learn: Why a surd is never left in the denominator

You are my personal SS1 Further Mathematics tutor. Teach me why a surd is never left in th

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Show All Working: Checking a rationalised answer by decimal approximation

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

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

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Final Revision: Deciding whether a given rule really is a binary operation

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Spot My Mistake: Reading closure off an operation table

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

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

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Final Revision: Why brackets matter when an operation is not associative

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Explain Back: Showing distributivity fails by a counter-example

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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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Final Revision: Evaluating a numerical expression using the index laws

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Show All Working: Simplifying an expression that mixes the index types

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Final Revision: Converting an answer back out of index form

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Proving a logarithmic identity from the laws

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Show All Working: Comparing logarithms given in different bases

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