Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →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
Subscribe to unlock allExplain 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
Subscribe to unlock allQuiz: 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
Subscribe to unlock allExplain 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
Subscribe to unlock allSpot 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
Subscribe to unlock allExplain Back: Differentiating tan x
I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl
Subscribe to unlock allWorked Example: Differentiating a bracket raised to a power
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on differ
Subscribe to unlock allQuiz: 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
Subscribe to unlock allExplain 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
Subscribe to unlock allWorked Example: Power as the rate of doing work
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on power
Subscribe to unlock allFind 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
Subscribe to unlock allSpot 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
Subscribe to unlock allEvaluate 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
Subscribe to unlock allEvaluate 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allExplain 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
Subscribe to unlock allFind 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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