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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "The sum of a geometric progression with a negative common ratio"

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

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Practice: Solving an inequality with the unknown in the denominator

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Worked Example: The number of arrangements of n different objects in a row

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Practice: Arrangements when some of the objects are identical

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Show All Working: Arrangements of the letters of a given word

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

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

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

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Explain Back: The compound angle formula for tan of A plus B

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

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

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

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

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

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

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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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Common Mistakes: The condition for a line to be a tangent to a circle

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