Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,326 prompts matching "completing the square when the coefficient of x squared is not one"
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 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 allEvaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
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 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) #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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Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
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 #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
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
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Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
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 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 allResolve a force into horizontal and vertical components #1
Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor
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 allResolve a force into horizontal and vertical components #3
I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to
Subscribe to unlock allResolve a force into horizontal and vertical components #4
I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to
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 allQuiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
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