Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,324 prompts matching "Structured question: complete the square then find the minimum"
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 #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 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
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
Subscribe to unlock allSolve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
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 allResolve a force into horizontal and vertical components #2
Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the
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 #4
I am in SS 3. Give me a binomial distribution problem where n=12, p=0.4, find P(X=5), 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 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 allExplain when to use binomial versus Poisson
I am in SS 3. Explain the conditions under which I should use a binomial distribution vers
Subscribe to unlock allTeach me equilibrium of forces from scratch
I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #1
I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #2
I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two
Subscribe to unlock allSolve a friction and forces of equilibrium problem #1
I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi
Subscribe to unlock allSolve a friction and forces of equilibrium problem #2
I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict
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