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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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621 prompts matching "Show all your working command word: permutation problem"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Find sum and product of roots of 3x^2 + 7x - 6 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of x^2 - 8x + 15 = 0

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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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Spot my mistake adding polynomials

Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch

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Worked example: using the factor theorem to factorise a cubic

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Spot my mistake using the remainder theorem

Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I

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Teach me combinations

Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from

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Quiz me on combinations where one member must be included

Act as my SS2 Further Maths tutor. Quiz me with five combination problems, mixing straight

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Quiz me on probability with combinations

Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com

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Give me practice on probability using combinatorics

Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be

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Explain combinatorial probability back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to set up a probabilit

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WAEC question on probability using combinations

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style probability qu

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Worked example: proving a trigonometric identity

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Spot my mistake solving a trigonometric equation

Act as my SS2 Further Maths tutor. I solved a trigonometric equation but I think I forgot

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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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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