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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 "Closure on a set of three elements under a stated rule"

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

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

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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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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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Quiz: Choosing a committee of r people from n

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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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Quiz: The compound angle formula for sine of A plus B

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

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

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Quiz: Solving tan x equals a given value, and the period of the tangent

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

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

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Practice: The effect of a in y equals a sin x

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Spot My Mistake: The effect of c in y equals sin x plus c

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Quiz: The gradient of the line through two points

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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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Spot My Mistake: The foci of an ellipse

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