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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 "Stating the order of a product before working it out"

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Worked example: reading the solutions as points of intersection

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Find the value of k for a line to be tangent to a curve

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Worked example: finding the middle term of a binomial expansion

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

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Worked example: solving an equation with logarithms to the same base

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Spot my mistake checking a logarithmic solution against the domain

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Teach me the basic trigonometric identities

Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including

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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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Worked example: finding the gradient of a curve at a point

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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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Test me under exam conditions on measures of dispersion

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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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 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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