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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,320 prompts matching "The point of contact when a line touches a curve"

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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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Quiz: The product of the roots of a cubic

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

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

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Quiz: The compound angle formula for sine of A plus B

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Quiz: Solving tan x equals a given value, and the period of the tangent

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Quiz: The tangent curve and its asymptotes

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Spot My Mistake: The effect of c in y equals sin x plus c

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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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Worked Example: The midpoint formula applied to a given segment

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

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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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Spot My Mistake: The foci of an ellipse

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Worked Example: The interquartile range of a set of ordered data

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