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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz me on quick surd simplifications"

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Final revision: my three hardest Further Maths topics

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Learn: The union of two sets written in set-builder notation

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Worked Example: The intersection of two overlapping sets

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Explain Back: The symmetric difference of two sets

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Common Mistakes: Showing that intersection distributes over union

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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

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Practice: Testing a binary operation for associativity

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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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Practice: Rationalising a denominator of the form root a

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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

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Learn: The multiplication and division laws of indices used together

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Common Mistakes: Solving an exponential equation using logarithms

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Worked Example: The discriminant, and what each of its three cases means

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Practice: The condition for a quadratic equation to have equal roots

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