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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,130 prompts matching "Deciding whether a number belongs to a given arithmetic progression"

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

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

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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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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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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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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Final Revision: Checking that the roots found satisfy the original equation

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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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Quiz: Solving a quadratic inequality using a sign table

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Practice: Arrangements when some of the objects are identical

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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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Practice: Choosing a committee that must contain one particular person

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Final Revision: Combinations used with the addition and multiplication principles

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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