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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 "Quiz: Solving the quadratic that results from the substitution"

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WAEC Prep: Writing a binary operation rule from a description in words

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Common Mistakes: A binary operation that is ordinary addition in disguise

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WAEC Prep: An operation that is commutative but not 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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Learn: What it means for one operation to distribute over another

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Spot My Mistake: Checking distributivity from two operation tables

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Practice: Why an identity element must work from both sides

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Common Mistakes: Checking an inverse by working the operation both ways

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Learn: Reading index notation, the base and the exponent

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Practice: The law for a power raised to another power

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

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

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Worked Example: Solving an indicial equation where one side must be factorised first

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Show All Working: A word problem that leads to an indicial equation

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Final Revision: Checking an indicial solution by substitution

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Learn: The definition of a logarithm as the index

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Show All Working: The common logarithm, to base ten

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Learn: The law for the logarithm of a product

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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