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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 "Finding the unit vector in the direction of a given vector"

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

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

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

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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Show All Working: Simplifying an expression with letters and indices

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

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Checking an indicial solution by substitution

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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: Inserting an arithmetic mean between two numbers

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Final Revision: A savings problem modelled by an arithmetic progression

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

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Common Mistakes: Inserting a geometric mean between two numbers

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