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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 "Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1"

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Common Mistakes: The range of values of x for which an expression stays positive

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Final Revision: The region of the plane satisfying a set of linear inequalities

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

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

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

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Common Mistakes: Giving the general solution of a trigonometric equation

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

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Final Revision: The perpendicular distance from a point to a line

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

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Quiz: Finding the centre and the radius from the general equation

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