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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "completing the square when the coefficient of x squared is not one"

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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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Structured question: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

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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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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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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: 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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Help me interpret my own WAEC Further Maths past mistakes

I am in SS 3. I will describe a mistake I keep making on a particular type of Further Math

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WAEC Prep: Adding three matrices of the same order

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through adding three matri

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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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WAEC Prep: The product of a 2 by 2 matrix with the identity

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the product of a 2

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WAEC Prep: The effect of a scalar on the determinant

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the effect of a sc

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WAEC Prep: The transpose of a column vector

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the transpose of a

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WAEC Prep: The transpose of a transpose

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the transpose of a

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WAEC Prep: Writing the transpose of a matrix by turning rows into columns

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 identity matrix of order three

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

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WAEC Prep: The order of a matrix formed from a table of data

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the order of a mat

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WAEC Prep: Stating the order of a product before working it out

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

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