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Senior Secondary

Further Mathematics

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1,314 prompts matching "Practice: Reversing the sign when multiplying by a negative number"

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Practice: Finding alpha minus beta from the sum and the product

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding alpha

Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Practice: Solving an inequality with the unknown in the denominator

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

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

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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

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

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Practice: The equation of a circle on a given diameter

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Practice: The ellipse in standard form, and its two axes

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Final Revision: The focus-directrix definition shared by all the conics

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Practice: The mean deviation from the mean

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Worked Example: Relative velocity when two bodies move along the same line

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Quiz: Relative velocity when the two motions are at right angles

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Practice: The triangle of velocities for a boat crossing a river

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Common Mistakes: What becomes of the tension when the string goes slack

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Practice: The frictional force on a body on a rough incline

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