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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 "Rationalising a denominator of the form root a over root b"

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Use the quadratic formula on 4x^2 - 4x - 3 = 0

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Use the quadratic formula on x^2 + x - 1 = 0

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Give me practice with the quadratic formula

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve using

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Give me practice on sum and product of roots

Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and

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Spot my mistake with sum and product of roots

Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5

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WAEC question on sum and product of roots

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Sum and product of roots of a cubic equation

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Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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Worked example: expanding (2x-3)^5 using the binomial formula

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Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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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 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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Worked example: find the unit vector in the direction of (6,8)

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

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Real-life application of sum and product of roots

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