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Further Mathematics

AI prompts for senior secondary learners.

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1,324 prompts matching "Create a revision plan for the binomial theorem"

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

Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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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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Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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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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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Structured question: AP and GP sharing the same first three terms

I am in SS 3. Give me a structured question describing a sequence whose first three given

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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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Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

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WAEC exam question: forming a quadratic equation from a word problem

I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Give me a mixed revision pack blending three topics

I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua

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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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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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Practice: The transpose of a 2 by 3 matrix

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

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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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WAEC Prep: Evaluating 2A plus 3B for two given matrices

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a

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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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