Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,323 prompts matching "Applying the sum to infinity formula when the ratio lies between minus one and o"
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Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
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 #4
Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] 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 allSolve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Subscribe to unlock allWAEC past-question practice: determinants #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style question applying Cramer's rul
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 allQuiz me on units of force
Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv
Subscribe to unlock allSolve a binomial probability problem #2
Give me a binomial distribution problem where n=10, p=0.5, find P(X is at least 7), using
Subscribe to unlock allSolve a Poisson distribution problem #1
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 4 per hour, fi
Subscribe to unlock allSolve a Poisson distribution problem #2
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 3 defects per
Subscribe to unlock allSolve a Poisson distribution problem #3
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 5 calls per mi
Subscribe to unlock allSolve a Poisson distribution problem #4
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 2.5 accidents
Subscribe to unlock allComplex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Subscribe to unlock allSolve a quadratic equation with complex roots #2
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0
Subscribe to unlock allKinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
Subscribe to unlock allKinematics: equations of motion practice #4
I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i
Subscribe to unlock allExplain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Subscribe to unlock allExplain-back: what a matrix inverse actually does
I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d
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