Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,324 prompts matching "A binary operation defined on a set of three elements"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
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 #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 allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
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 allSolve 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
Subscribe to unlock allSolve 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
Subscribe to unlock allDefine mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Subscribe to unlock allSolve a binomial probability problem #1
Give me a binomial distribution problem where n=8, p=0.3, find P(X=3), using the binomial
Subscribe to unlock allSolve a binomial probability problem #3
I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin
Subscribe to unlock allSolve a binomial probability problem #5
I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili
Subscribe to unlock allSpot my mistake taking moments about a pivot
I am in SS 3. I calculated the moment of a force about a pivot but I think I used the wron
Subscribe to unlock allTeach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
Subscribe to unlock allExplain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
Subscribe to unlock allComplex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
Subscribe to unlock allTeach me complex numbers from scratch
I am in SS 3. Teach me what a complex number is and why i is defined as the square root of
Subscribe to unlock allSpot my mistake using the product rule
I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ
Subscribe to unlock allSimulate a WAEC Further Mathematics theory paper
I am in SS 3. Give me a short simulated WAEC Further Mathematics theory paper with one que
Subscribe to unlock allWorked example: differentiating using the quotient rule
I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi
Subscribe to unlock allWorked example: finding the argument in the correct quadrant
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Subscribe to unlock all