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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Teach me the completing the square when the coefficient of x squared is one"

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 moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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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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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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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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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

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Give me a past-paper style question bank for the quadratic formula

I am in SS 3. Give me a bank of four exam-style questions on using the quadratic formula,

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Give me a past-paper style question bank for sum and product of roots

I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran

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Give me a past-paper style question bank for the remainder theorem

I am in SS 3. Give me a bank of four exam-style questions on the remainder theorem, rangin

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Give me a past-paper style question bank for the factor theorem

I am in SS 3. Give me a bank of four exam-style questions on the factor theorem, ranging f

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Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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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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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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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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Quiz: Solving a matrix equation of the form A plus X equals B

Act as my SS3 Further Mathematics tutor and quiz me on solving a matrix equation of the fo

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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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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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

Act as my SS3 Further Mathematics tutor. Work a question on finding the adjoint of a 3 by

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