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Senior Secondary

Further Mathematics

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1,045 prompts matching "Stating the order of a product before working it out"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked Example: The discriminant used as the test for intersection

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Worked Example: The remainder on dividing by x minus 3

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Solve x^2 + 5x + 6 = 0 by factorisation

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Solve x^2 - 7x + 12 = 0 by factorisation

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Solve 2x^2 + 7x + 3 = 0 by factorisation

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Solve x^2 - 3x - 10 = 0 by factorisation

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Solve 3x^2 - 5x - 2 = 0 by factorisation

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Solve x^2 - 6x + 9 = 0 by factorisation

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