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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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980 prompts matching "Explain-back: my understanding of Cramer's rule"

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Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

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Find sum and product of roots of x^2 + 4x - 12 = 0

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

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Find sum and product of roots of x^2 - 8x + 15 = 0

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Worked example: reading the solutions as points of intersection

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Teach me the laws of logarithms

Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,

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Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

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Teach me the basics of differentiation

Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom

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Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

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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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Worked example: find the magnitude of the vector (3,4)

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