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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 "A word problem solved with the quadratic formula"

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Practice: Collecting similar surds in an expression

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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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Worked Example: Rationalising a denominator that is a single surd

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Show All Working: Checking a rationalised answer by decimal approximation

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Worked Example: Squaring both sides safely when solving a surd equation

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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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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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Worked Example: Testing a*b against b*a for a given rule

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

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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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