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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Universal set and its role in set problems"

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

Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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WAEC Prep: The inverse of a 3 by 3 matrix from its adjoint and its determinant

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

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WAEC Prep: The indefinite integral, and its notation

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the indefinite int

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Quiz: The complement of a set within a stated universal set

Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st

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Worked Example: The discriminant, and what each of its three cases means

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

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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

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WAEC Prep: A couple, and why its moment is the same about every point

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

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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Explain Back: The units of a moment, and why they are newton metres

I have just studied the units of a moment, and why they are newton metres in my SS3 Furthe

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Quiz: A rod resting against a wall, and the concurrence of its three forces

Act as my SS3 Further Mathematics tutor and quiz me on a rod resting against a wall, and t

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Learn: An area lying below the x-axis, and its sign

You are my personal SS3 Further Mathematics tutor. Teach me an area lying below the x-axis

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Final Revision: The power set, and how many subsets a set of n elements has

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Learn: The degree of a polynomial and its leading coefficient

You are my personal SS3 Further Mathematics tutor. Teach me the degree of a polynomial and

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Practice: The ellipse in standard form, and its two axes

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

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Learn: The moment of a force about a point, and its units

You are my personal SS3 Further Mathematics tutor. Teach me the moment of a force about a

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

Act as my SS3 Further Mathematics tutor. Work a question on an aeroplane in a cross-wind,

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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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Show all your working command word: permutation problem

I am in SS 3. Give me a permutation exam question that instructs 'show all your working',

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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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