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Senior Secondary

Further Mathematics

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922 prompts matching "Finding a missing coefficient from a stated sum of roots"

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

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition

Quiz: Finding alpha cubed plus beta cubed

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

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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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Practice: Arrangements when some of the objects are identical

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

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Practice: The compound angle formula for cosine of A minus B

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

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Practice: Solving an equation of the form sin of 2x equals a given value

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Practice: The effect of a in y equals a sin x

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Quiz: The gradient of the line through two points

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

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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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Practice: The equation of a circle on a given diameter

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Quiz: The equation of the tangent to a parabola

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Common Mistakes: Identifying a conic from a general second-degree equation

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Quiz: The principle of moments for a body in equilibrium

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