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Further Mathematics

AI prompts for senior secondary learners.

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880 prompts matching "Simplifying a fraction of two bracketed index terms"

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

Add two matrices, 3x3 #5

Give me a matrix problem where A=[[1,2,0],[3,-1,4],[0,2,1]], B=[[2,0,1],[1,1,-1],[3,-2,0]]

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Add two matrices, 2x2 #7

I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have

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Subtract two matrices, 3x3 #8

Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]

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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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Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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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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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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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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Solve a friction and forces of equilibrium problem #2

I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict

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Solve a friction and forces of equilibrium problem #3

I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri

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Quiz me on kinematics equations of motion

I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Spot my mistake finding a vector cross product

I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about

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