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Further Mathematics

AI prompts for senior secondary learners.

πŸ“… 36-Week WAEC Study Guide for Further Mathematics β†’
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1,045 prompts matching "The equation of the circle through three given points"

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Show All Working: Forming an equation whose roots are three alpha and three beta

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IGCSE Additional Maths Y11: Solving an equation within a stated range of radians β€” Worked Example

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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IGCSE Additional Maths Y11: Evaluating sec of a given angle β€” Worked Example

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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IGCSE Additional Maths Y11: Selecting a subset of a given size β€” Worked Example

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Quiz me on the sum and product of the roots of a cubic

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Sum and product of roots of a cubic equation

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

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Teach me the distance and midpoint formulas

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Solve the logarithmic equation log2(x) + log2(x-2) = 3

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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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 modulus and argument of 3+4i

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Worked example: find the determinant of [[5,2],[3,4]]

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Worked example: find the inverse of [[2,1],[5,3]]

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