Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Find the value of k for a line to be tangent to a curve"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
Subscribe to unlock allMultiply 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
Subscribe to unlock allWhy 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 allShow all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
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 allSolve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
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 allWAEC past-question practice: inverse matrices #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style multi-part question: (a) find
Subscribe to unlock allDefine particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
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 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 allProjectile motion problem #2
I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s
Subscribe to unlock allProjectile motion problem #3
I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60
Subscribe to unlock allFinal Revision: Proving that root 2 is irrational
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allFinal Revision: Solving a disguised quadratic by substitution
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allFinal Revision: Proving an identity by working on one side only
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allFinal Revision: Losing solutions by dividing through by cos x
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
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