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Further Mathematics

AI prompts for senior secondary learners.

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1,331 prompts matching "Checking the sum and product against the solved roots"

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

Learn: Hooke's law, and what the modulus of elasticity means

You are my personal SS3 Further Mathematics tutor. Teach me Hooke's law, and what the modu

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Practice: The difference between an elastic string and a spring in compression

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag

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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the variance of

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Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t

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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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Structured question: cubic equation from three given roots

I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Domain and range of an inverse function

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Spot my mistake: forming a quadratic equation from its roots

Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f

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Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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Simulate a WAEC Further Maths Section B theory question

I am in SS 3. Give me one long theory-style Further Maths question, similar to the Section

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Structured question: two quadratics sharing a common root

I am in SS 3. Give me a structured question where two quadratic equations are given and I

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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