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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Teach me conditions for a line and a curve to intersect"

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

Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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Composite functions gf(x)

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

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Finding the making x the subject of a fractional function

You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu

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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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WAEC-style past question on functions

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

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Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

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Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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Learn: The order of the steps in inverting a 3 by 3 matrix

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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Learn: Finding the coefficient of a stated power in an expansion

You are my personal SS3 Further Mathematics tutor. Teach me finding the coefficient of a s

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Learn: The probability that a normal variable lies between two values

You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal

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Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

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Learn: Differentiating sin of a multiple of x

You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi

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Learn: Integrating a polynomial term by term

You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term

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