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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 on arrangements when some of the objects are alike"

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Final Revision: Counting the number plates or codes that can be formed under a rule

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

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

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

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

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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Practice: The equation of a line through a point with a given gradient

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Explain Back: The equation of the line through two given points

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

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

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

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Final Revision: The equation of the circle through three given points

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

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Common Mistakes: The coefficient of variation, for comparing two sets

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Final Revision: Reading the quartiles off a cumulative frequency curve

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Learn: The moment of a force about a point, and its units

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Explain Back: Finding the reaction at each support of a loaded beam

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Common Mistakes: The centre of gravity of a uniform lamina

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