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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 locus of a complex number equidistant from two points"

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

Quiz: Checking a surd equation for extraneous roots

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Practice: Solving an equation with a surd on each side

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Common Mistakes: A surd equation that has no real solution

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Final Revision: A word problem that leads to an equation in surd form

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Practice: A binary operation set out as a table

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

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

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Practice: Testing a set for closure under multiplication

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

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Practice: An operation that is not commutative, with a counter-example

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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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Quiz: Left distributivity and right distributivity

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Show All Working: Using distributivity to simplify an expression

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Show All Working: An element with no inverse under a given operation

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Show All Working: Simplifying an expression with letters and indices

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Quiz: A negative index on a fraction, and turning it upside down

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Practice: A fractional index with numerator one, read as a root

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