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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,320 prompts matching "Finding the equation of a circle from its centre and radius"

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

Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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

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

Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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

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

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

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

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

Show all working: resultant of forces question

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

Explain standard deviation and the normal curve

I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c

Use the normal distribution function to find a probability #1

I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5

Use the normal distribution function to find a probability #2

I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation

Use the normal distribution function to find a probability #3

I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8

Solve a friction and forces of equilibrium problem #1

I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi

Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

Spot my mistake finding a vector magnitude

I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an

Modulus, argument and the Argand diagram #1

I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an

Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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