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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 "Quiz me rapid-fire on expanding and factorising"

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

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

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Common Mistakes: Arrangements restricted at the first or the last place

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

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Common Mistakes: Giving the general solution of a trigonometric equation

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The equation of a circle with a given centre and radius

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Practice: The equation of a circle on a given diameter

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Show All Working: The intersection of a circle and a straight line

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Learn: The range, and why it is a weak measure of spread

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Practice: The mean deviation from the mean

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Spot My Mistake: The standard deviation of an ungrouped set of data

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