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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 a Cayley table for an operation on a small set"

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

Common sign errors in algebraic manipulation

Show me a fully worked Cambridge/Additional Maths style solution to a question on the most

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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Learn: Telling a rational number from an irrational one

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

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Practice: Collecting similar surds in an expression

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Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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Quiz: Rationalising a denominator of the form one over root 3

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Spot My Mistake: Rationalising and then cancelling a common factor

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

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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

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WAEC Prep: Expressing the answer in the form a plus b root c

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Learn: Solving an equation with a single square root term

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Practice: Solving an equation with a surd on each side

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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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Final Revision: Deciding whether a given rule really is a binary operation

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Worked Example: Testing the even numbers for closure under addition

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