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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,315 prompts matching "Expanding a bracket with a coefficient on x"

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

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

Practice: Differentiating x squared from first principles

Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin

Practice: Differentiating sin x and cos x

Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin

Explain Back: Differentiating tan x

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

Worked Example: The area between a curve and the x-axis

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

Practice: A body thrown vertically upwards

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown

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

Explain Back: Writing a recurring decimal as a geometric series

I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma

Practice: The middle term when the power is odd

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter

Add two matrices, 2x2 #1

Give me a matrix problem where A=[[2,3],[1,4]], B=[[5,-1],[0,2]] and I have to add them, s

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]]

Multiply matrices step by step #1

Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth

Multiply matrices step by step #3

I am in SS 3. Show me how to multiply A=[[1,0,2],[3,1,-1],[2,-2,1]], B=[[2,1,0],[0,1,3],[-

Multiply matrices step by step #4

Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using

Multiply matrices step by step #5

Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth

Identify symmetric matrices practice

Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^

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

Evaluate a 2x2 determinant #2

I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ

Evaluate a 2x2 determinant #3

Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad

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