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Further Mathematics

AI prompts for senior secondary learners.

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1,333 prompts matching "Quiz: Completing the square on x squared plus 6x"

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

Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

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Structured question: binomial expansion used for a probability estimate

I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a

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Give me a mixed revision pack blending logic and combinatorics

I am in SS 3. Give me a short mixed revision pack with one propositional logic question an

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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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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 #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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Find the inverse of a 3x3 matrix using cofactors #2

I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through

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Find the inverse of a 3x3 matrix using cofactors #3

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

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Find the moment of a force about a point #1

I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro

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Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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Find the moment of a force about a point #4

I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen

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Position vectors and displacement between points #1

I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto

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Position vectors and displacement between points #2

I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v

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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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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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