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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Expanding a bracket of the form a plus b over x"

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

Quiz: Writing a complex number in polar form

Act as my SS3 Further Mathematics tutor and quiz me on writing a complex number in polar f

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WAEC Prep: A quadratic whose roots are 2 plus i and 2 minus i

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

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Practice: Why complex roots of a real quadratic come in conjugate pairs

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro

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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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Explain Back: Differentiating one over x from first principles

I have just studied differentiating one over x from first principles in my SS3 Further Mat

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WAEC Prep: Differentiating a sum of a polynomial and a trigonometric term

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

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Worked Example: Differentiating a bracket raised to a power

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

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Learn: Differentiating sin of a multiple of x

You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi

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WAEC Prep: Integrating a bracket that must be expanded first

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

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WAEC Prep: Integrating a power of x

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

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Quiz: A rate of change problem about a vessel filling with water

Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve

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Quiz: Choosing which equation of motion to use

Act as my SS3 Further Mathematics tutor and quiz me on choosing which equation of motion t

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WAEC Prep: How many terms of an arithmetic progression lie between two values

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through how many terms of

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WAEC Prep: An arithmetic progression whose terms are given in terms of n

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through an arithmetic prog

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Scalar multiplication of a matrix #4

I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a

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Explain the zero matrix in matrix algebra

I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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