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

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

Quiz me on the binomial expansion of a bracket raised to the power four

Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex

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Teach me the laws of indices at Further Maths level

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Teach me rationalising the denominator

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Teach me the equation of a straight line

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi

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Teach me dividing complex numbers by rationalising with the conjugate

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Teach me the finding the modulus of a complex number

You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number

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Teach me finding the determinant of a 2x2 matrix

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Teach me finding the determinant of a two by two matrix

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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: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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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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