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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "A simultaneous pair in which the second equation is a circle"

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

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

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

Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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

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

Find the resultant of several concurrent forces #2

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

Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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

Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

Explain standard deviation and the normal curve

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

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

Spot my mistake in a binomial probability question

I am in SS 3. I calculated P(X=3) for a binomial distribution but I think I used the wrong

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

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