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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Practice: Factorising a quadratic with a common factor taken out first"

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

Evaluate a 3x3 determinant by expansion #1

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

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Evaluate a 3x3 determinant by expansion #3

I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua

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Evaluate a 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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Find the inverse of a 2x2 matrix #4

Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ

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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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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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Find the resultant of two forces #2

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Quiz me on the symmetry of the normal distribution curve

I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu

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Show all working: complex number equation question

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so

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Worked example: 3x3 matrix multiplication

I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every

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Spot my mistake in a Poisson probability calculation

I am in SS 3. I calculated a Poisson probability but I'm not confident about my factorial

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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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WAEC Prep: The number of elements in the union of two sets

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: Completing a Cayley table for an operation on a small set

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 change of base formula for logarithms

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: Forming an equation whose roots are each two more than the original

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

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