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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,266 prompts matching "Set problem leading to a linear equation"

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

Find the inverse of a 2x2 matrix #1

Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi

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Find the inverse of a 2x2 matrix #2

I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us

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Find the inverse of a 2x2 matrix #3

I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi

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Find the inverse of a 2x2 matrix #5

Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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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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Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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WAEC past-question practice: inverse matrices #4

I am in SS 3. Test me with a timed WAEC-style inverse matrix question, give it to me cold,

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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WAEC past-question practice: coplanar forces #4

I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold

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Explain the properties of the normal distribution curve

I am in SS 3. In your own words, explain the key properties of the normal distribution cur

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Spot my mistake in a binomial probability question

I am in SS 3. I calculated P(X=3) for a binomial distribution but I think I used the wrong

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Spot my mistake in standardising a normal variable

I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf

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Show all working: combined binomial and normal question

I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia

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WAEC past-question practice: probability distributions #2

I am in SS 3. Set me a WAEC-style Poisson distribution question exactly the way past paper

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