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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 "Arrangements in which two particular objects must be kept apart"

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

Learn: What a binary operation actually is

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Quiz: Evaluating a*b from a given rule

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Spot My Mistake: A binary operation defined on a set of three elements

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

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Learn: What closure means for a binary operation

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Spot My Mistake: Reading closure off an operation table

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

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Learn: What it means for an operation to be commutative

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Quiz: Reading commutativity off a symmetrical operation table

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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Show All Working: An operation that is associative but not commutative

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Show All Working: Using distributivity to simplify an expression

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Quiz: Finding the identity element from an operation table

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Practice: Why an identity element must work from both sides

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Spot My Mistake: Finding the inverse of a given element

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

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Learn: Reading index notation, the base and the exponent

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Quiz: The law for dividing powers of the same base

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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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