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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,108 prompts matching "Using sets to test simple logical statements"

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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Practice: Finding alpha minus beta from the sum and the product

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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Learn: The degree of a polynomial and its leading coefficient

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Worked Example: Evaluating a polynomial by substitution

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Learn: The sum of the roots of a cubic read from its coefficients

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: The product of the roots of a cubic

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Practice: Finding the third root of a cubic when two are known

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Spot My Mistake: Showing the solution of an inequality on a number line

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Worked Example: The number of arrangements of n different objects in a row

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Quiz: The number of arrangements of r objects chosen from n

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Practice: Arrangements when some of the objects are identical

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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Worked Example: The difference between a permutation and a combination

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Quiz: Choosing a committee of r people from n

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