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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,038 prompts matching "Structured question: find f^-1(x) and verify it"

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Show All Working: A quadratic whose two roots are both negative

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Practice: Giving the roots correct to two decimal places

Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Practice: The value of alpha to the fourth plus beta to the fourth

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a

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Explain Back: The value of alpha minus beta, all squared

I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati

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Show All Working: A simultaneous pair in which the second equation is a circle

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous

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Show All Working: The point of contact when a line touches a curve

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Practice: Polynomial notation such as P of x

Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not

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Explain Back: Evaluating P of 2 for a given polynomial

I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics

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Practice: A division that leaves no remainder

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha

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Explain Back: A division that leaves a constant remainder

I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat

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Show All Working: Synthetic division as a shorter route

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on synthetic divis

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Practice: The remainder on dividing by 2x minus 1

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the remainder

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Practice: Showing that x plus 3 is a factor of a given polynomial

Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x

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Show All Working: What the factor theorem says about the roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor

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Practice: Factorising a quartic as the product of two quadratics

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Show All Working: Solving a cubic that must first be rearranged

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic

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Show All Working: Translating an English sentence into logical symbols

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on translating an

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