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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Quiz me on vector operations"

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

Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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

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

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

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

Find the resultant of two forces #1

I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each

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

Find the resultant of two forces #3

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the

Find the resultant of two forces #4

I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as

Find the resultant of two forces #5

I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t

Spot my mistake resolving a force

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

Explain the parallelogram of forces

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

Solve a binomial probability problem #1

Give me a binomial distribution problem where n=8, p=0.3, find P(X=3), using the binomial

Solve a binomial probability problem #2

Give me a binomial distribution problem where n=10, p=0.5, find P(X is at least 7), using

Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

Solve a binomial probability problem #4

I am in SS 3. Give me a binomial distribution problem where n=12, p=0.4, find P(X=5), usin

Solve a binomial probability problem #5

I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili

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

Solve a three coplanar forces in equilibrium problem #1

I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin

Solve a three coplanar forces in equilibrium problem #2

I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two

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