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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 the why p implies q is true when p is false"

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Practice: Rationalising a denominator of the form root a

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Learn: The multiplication and division laws of indices used together

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Worked Example: The discriminant, and what each of its three cases means

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Common Mistakes: Three roots in geometric progression in a cubic

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Final Revision: Checking that the roots found satisfy the original equation

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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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Quiz: The number of arrangements of r objects chosen from n

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

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

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

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Quiz: The equation of the tangent to a parabola

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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