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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 laws of logarithms for a product and for a quotient"

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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 truth table of p if and only if q

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

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Teach me how to the general term formula of a binomial expansion

You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial

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Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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Create a revision plan for logarithms and indices

Act as my SS2 Further Maths tutor. Help me create a short revision plan for logarithms and

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Summarise polynomials and the remainder/factor theorems for quick revision

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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 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 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: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Real-life application of sum and product of roots

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Give me a 5-minute recap of the quadratic formula

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula

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