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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,321 prompts matching "Factorising fully, and knowing when to stop"

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WAEC Prep: The number of elements in the union of two sets

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Show All Working: A three-set Venn diagram drawn from a subject survey

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Common Mistakes: Showing that intersection distributes over union

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Worked Example: Testing whether a binary operation is closed on a given set

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Explain Back: Finding the identity element of a binary operation

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WAEC Prep: Completing a Cayley table for an operation on a small set

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Show All Working: Solving an equation written in terms of a binary operation

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Worked Example: Collecting like surds in a single sum

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Show All Working: Expressing a number in the form a root b

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Common Mistakes: Solving an equation in which the unknown sits under a root

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WAEC Prep: The change of base formula for logarithms

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Common Mistakes: Solving an exponential equation using logarithms

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Show All Working: Solving a quadratic by completing the square

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Worked Example: Finding one over alpha plus one over beta

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Show All Working: Finding a coefficient given a stated relation between the roots

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