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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "determine whether the argument 'if p then q; p; therefore q' is valid using a tr"

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

Learn: Finding alpha squared plus beta squared from the sum and product

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

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Learn: The degree of a polynomial and its leading coefficient

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

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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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Practice: Solving an inequality with the unknown in the denominator

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Learn: The meaning of n factorial, and how to evaluate it

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Practice: Arrangements when some of the objects are identical

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Learn: The meaning of n choose r, and how to evaluate it

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

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Practice: The compound angle formula for cosine of A minus B

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Final Revision: Proving an identity by working on one side only

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Practice: Solving an equation of the form sin of 2x equals a given value

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Final Revision: Losing solutions by dividing through by cos x

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Learn: The shape, period and range of the sine curve

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Worked Example: The shape, period and range of the cosine curve

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