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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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500 prompts matching "A word problem solved by factorising a quadratic"

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

Explain Back: The locus of a complex number at a fixed distance from a point

I have just studied the locus of a complex number at a fixed distance from a point in my S

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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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Explain Back: Differentiating tan x

I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl

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Explain Back: The constant of integration, and why it appears

I have just studied the constant of integration, and why it appears in my SS3 Further Math

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Explain Back: The sum of the first n terms of a geometric progression

I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt

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Explain Back: Writing a recurring decimal as a geometric series

I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma

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Explain Back: Partial fractions with a repeated linear factor

I have just studied partial fractions with a repeated linear factor in my SS3 Further Math

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Explain Back: The line of best fit, and the regression line

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

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Scalar multiplication of a matrix #1

I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a

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Scalar multiplication of a matrix #2

Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip

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Scalar multiplication of a matrix #3

Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att

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Scalar multiplication of a matrix #5

I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],

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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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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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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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WAEC past-question practice: matrices #1

I am in SS 3. Give me a WAEC Further Mathematics past-question style problem on matrix add

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WAEC past-question practice: matrices #2

I am in SS 3. Set me a typical WAEC Further Mathematics question combining matrix multipli

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WAEC past-question practice: matrices #3

I am in SS 3. Drill me with a WAEC-style question on multiplying a 2x3 matrix by a 3x2 mat

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Evaluate a 2x2 determinant #1

I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi

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Evaluate a 2x2 determinant #5

I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi

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