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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 "Give me practice on polynomial long division"

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

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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Explain Back: Arrangements in which two particular objects must stay together

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

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WAEC Prep: Circular permutations of n objects round a table

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

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Worked Example: The difference between a permutation and a combination

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Common Mistakes: Selections in which at least one of a kind must appear

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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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Show All Working: The half angle formulae and the t-substitution

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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WAEC Prep: Solving an equation by first applying a double angle formula

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Explain Back: The effect of b in y equals sin bx on the period

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Common Mistakes: The angle between two lines found from their gradients

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Learn: The equation of a circle with its centre at the origin

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