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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 determinant of a 2 by 2 matrix as ad minus bc"

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

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Learn: What it means for one operation to distribute over another

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Explain Back: Showing distributivity fails by a counter-example

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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Final Revision: Identity and inverse together, and what they give the set

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Final Revision: Evaluating a numerical expression using the index laws

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Learn: Why any non-zero number to the power nought is one

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Common Mistakes: Writing a root as a fractional index before simplifying

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Final Revision: Converting an answer back out of index form

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Quiz: An indicial equation that becomes a quadratic in a power

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Final Revision: Proving a logarithmic identity from the laws

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Spot My Mistake: A sequence defined by a recurrence relation

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Final Revision: Describing a sequence in words and then in symbols

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Final Revision: Deciding whether a given sequence is a geometric progression

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Spot My Mistake: A compound interest problem modelled by a geometric progression

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