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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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889 prompts matching "Show that command word: a function is its own inverse"

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

Explain trigonometric identities back to me

Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and

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Explain arithmetic and geometric progressions back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr

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Teach me the basics of differentiation

Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom

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Worked example: finding the gradient of a curve at a point

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Worked example: finding and classifying a stationary point

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Worked example: solving a quadratic with complex roots

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Worked example: plotting a complex number on an Argand diagram

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Explain vectors back to me

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

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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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Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

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Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^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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