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Senior Secondary

Further Mathematics

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1,045 prompts matching "Using concurrence to locate an unknown line of action"

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 sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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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 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: simplify (3+2i) + (1-5i)

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Worked example: simplify (2+i)(3-4i)

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Worked example: simplify (4+3i)/(1-2i)

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

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Quiz: Completing the square on x squared plus 6x

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Practice: Working through a quadratic by completing the square, step by step

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Spot My Mistake: Completing the square when the roots are not real

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Quiz: Solving the quadratic that results from the substitution

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Spot My Mistake: A polynomial written in descending powers

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Quiz: Dividing a quartic by a quadratic

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Practice: A division that leaves no remainder

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