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Further Mathematics

AI prompts for senior secondary learners.

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1,325 prompts matching "use the binomial expansion to estimate (2.01)^5 to 4 decimal places"

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

Spot my mistake: Applying the power rule to the integral of one over x

Act as my SS3 Further Mathematics tutor. Write a short answer on applying the power rule t

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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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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

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Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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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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Evaluate a 3x3 determinant by expansion #3

I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua

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Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

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Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

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Non-calculator paper: exact trigonometric values

I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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Structured question: identify a tautology using a truth table

I am in SS 3. Set me a structured question where I build a truth table for a compound stat

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Give me an exam formula sheet for quadratic factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for factorising

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Give me an exam formula sheet for solving quadratics by factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua

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Diagnose my weak topics using a short quiz

I am in SS 3. Give me one short question from each major topic covered so far in Further M

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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

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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: 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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