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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 "Explain the difference between speed and velocity in mechanics"

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Explain the factorisation method back to me

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Explain completing the square back to me

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Explain the quadratic formula back to me

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Explain sum and product of roots back to me

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Explain the binomial theorem back to me

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Teach me the distance and midpoint formulas

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Explain standard deviation back to me

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Explain why Further Maths topics connect to each other

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

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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

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Worked Example: Halving the coefficient of x and squaring it

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Worked Example: Substituting into the quadratic and tidying up

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