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Senior Secondary

Further Mathematics

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1,246 prompts matching "Set theory laws: commutative and associative"

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Final revision: my three hardest Further Maths topics

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Common Mistakes: Showing that intersection distributes over union

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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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WAEC Prep: Comparing the sizes of two surds without a calculator

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

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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WAEC Prep: Sketching a cubic from its factorised form

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Show All Working: Solving a cubic equation by factorisation

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Show All Working: Solving a pair of simultaneous linear inequalities

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