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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 "IGCSE Additional Maths Y11: A definite integral of an exponential function — Sho"

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

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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

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Show All Working: The common logarithm, to base ten

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Common Mistakes: Reading a logarithm from a table

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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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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Common Mistakes: A logarithmic equation that becomes a quadratic

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Common Mistakes: Proving the sum formula by pairing the terms

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Learn: What makes a sequence a geometric progression

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Show All Working: A geometric progression with a fractional common ratio

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

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Final Revision: Proving the sum formula for a geometric progression

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Final Revision: A word problem that leads to a linear inequality

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