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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,010 prompts matching "Newton's first law, and what it says about equilibrium"

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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 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: 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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Worked example: how many ways can 5 books be arranged on a shelf

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: in how many ways can 6 people be seated around a circular table

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Give me a 5-minute recap of quadratic equations

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Give me a 5-minute recap of completing the square

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Give me a 5-minute recap of the quadratic formula

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