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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 line and curve intersection conditions"

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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

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Quiz: Forming a quadratic equation whose roots are given

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Practice: The condition for a quadratic equation to have equal roots

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Show All Working: Three roots in arithmetic progression in a cubic

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Spot My Mistake: Showing the solution of an inequality on a number line

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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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Worked Example: The difference between a permutation and a combination

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Show All Working: Counting the handshakes, or the lines joining n points

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

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

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

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

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