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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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690 prompts matching "Probability with replacement and without replacement"

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Practice: Multiplying a whole number by a surd

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Show All Working: Simplifying a surd expression that contains brackets

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Show All Working: Checking a rationalised answer by decimal approximation

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Show All Working: A conjugate where the surd term comes first

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Common Mistakes: A surd equation that has no real solution

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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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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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Common Mistakes: Subtraction as an example of neither law

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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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Common Mistakes: Distributivity on a set of three elements

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