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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,322 prompts matching "IGCSE Additional Maths Y10: The equation of a line given two points on it — Expl"

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Worked Example: The powers of i, and the cycle they follow

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Quiz: Choosing which equation of motion to use

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Worked Example: Power as the rate of doing work

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Show all working: the range and the greatest height of a projectile

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Worked Example: The intersection of two overlapping sets

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

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

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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

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

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

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Show All Working: Proving two given lines perpendicular from their gradients

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

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