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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The distance travelled in the first five seconds"

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Create a revision plan for the binomial theorem

Act as my SS2 Further Maths tutor. Help me create a short revision plan for the binomial t

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Summarise polynomials and the remainder/factor theorems for quick revision

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Summarise the binomial theorem for quick revision

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Test me under exam conditions on polynomials and the remainder/factor theorems

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Test me under exam conditions on the binomial theorem

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Give me common mistakes students make in polynomials and the remainder/factor theorems

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Give me common mistakes students make in the binomial theorem

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Explain why Further Maths topics connect to each other

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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: find the gradient of y = x^3 - 4x at the point where x = 2

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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Worked example: find the equation of the line through (2,3) and (5,9)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

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

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