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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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830 prompts matching "Coordinate geometry combined with simultaneous equations"

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

Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

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Give me a past-paper style question bank for cubic equations

I am in SS 3. Give me a bank of four exam-style questions on solving cubic equations, rang

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Give me a past-paper style question bank for trigonometric identities and equations

I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin

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Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

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Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Structured question: stationary point on a curve with an unknown constant

I am in SS 3. Give me a structured differentiation question where a curve contains an unkn

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Structured question: cubic equation from three given roots

I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ

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Structured question: combination problem with 'at least' condition

I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc

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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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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: A matrix expression with brackets to expand

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a matrix expressio

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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WAEC Prep: The determinant of a matrix with a row of noughts

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

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WAEC Prep: The determinant of a 3 by 3 matrix with two equal rows

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

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WAEC Prep: Cramer's rule applied to a pair with fractional coefficients

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through Cramer's rule appl

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Practice: Turning a minor into a cofactor with the sign rule

Act as my SS3 Further Mathematics tutor. Give me five practice questions on turning a mino

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WAEC Prep: The inverse of a 2 by 2 matrix with a fractional determinant

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

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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