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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Show me how marks are awarded on a structured question"

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

Worked Example: Squaring a complex number

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on squari

Explain Back: The locus of a complex number at a fixed distance from a point

I have just studied the locus of a complex number at a fixed distance from a point in my S

Quiz: Writing a complex number in polar form

Act as my SS3 Further Mathematics tutor and quiz me on writing a complex number in polar f

Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

Act as my SS3 Further Mathematics tutor. Work a question on deriving a multiple angle form

Explain Back: Differentiating tan x

I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl

Worked Example: Differentiating a bracket raised to a power

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on differ

Quiz: A rate of change problem about a vessel filling with water

Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve

Explain Back: The greatest height reached by a body thrown upwards

I have just studied the greatest height reached by a body thrown upwards in my SS3 Further

Worked Example: Power as the rate of doing work

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on power

Find the transpose of a 3x3 matrix

I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows

Spot my mistake in a matrix transpose

I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please

Evaluate a 2x2 determinant #1

I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi

Evaluate a 2x2 determinant #5

I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi

Find the inverse of a 2x2 matrix #2

I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us

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

Find the inverse of a 3x3 matrix using cofactors #1

I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

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

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

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

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