Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,313 prompts matching "Structured question: find fg(x) and gf(x)"
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: 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 allExplain Back: The sum of the first n terms of a geometric progression
I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt
Subscribe to unlock allExplain 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
Subscribe to unlock allExplain Back: Partial fractions with a repeated linear factor
I have just studied partial fractions with a repeated linear factor in my SS3 Further Math
Subscribe to unlock allAdd two matrices, 2x2 #3
I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have
Subscribe to unlock allSubtract two matrices, 2x2 #4
Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t
Subscribe to unlock allAdd two matrices, 2x2 #7
I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have
Subscribe to unlock allSubtract two matrices, 3x3 #8
Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]
Subscribe to unlock allMultiply 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],[-
Subscribe to unlock allMultiply 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
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 allIdentify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
Subscribe to unlock allOrder of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Subscribe to unlock allEvaluate 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
Subscribe to unlock allEvaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Subscribe to unlock allEvaluate a 2x2 determinant #6
I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #4
I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
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