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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 determinant of a 2 by 2 matrix as ad minus bc"

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

Explain polynomial addition back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po

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Teach me long division of polynomials

Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of

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Worked example: dividing a cubic by a linear polynomial

Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p

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Worked example: using the factor theorem to factorise a cubic

Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor

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Quiz me on when a conjunction of three statements is true

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Worked example: solving a quadratic trigonometric equation

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Teach me adding and subtracting vectors

Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum

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Worked example: standard deviation of a small data set

Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian

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Summarise quadratic equations for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Test me under exam conditions on quadratic equations

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on qu

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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