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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 "Completing the square when the roots are not real"

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Show All Working: Checking a rationalised answer by decimal approximation

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on checking a rati

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Final Revision: Checking a conjugate answer by multiplying back

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Practice: Solving an equation with a surd on each side

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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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WAEC Prep: Writing a binary operation rule from a description in words

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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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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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Practice: Multiplication distributing over addition in ordinary arithmetic

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WAEC Prep: A rule where distributivity holds one way only

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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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Practice: Why an identity element must work from both sides

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

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WAEC Prep: Applying two index laws inside one expression

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Show All Working: Simplifying an expression with letters and indices

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Worked Example: Rewriting a negative index as a fraction

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