Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,323 prompts matching "WAEC question requiring completing the square"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Subscribe to unlock allExplain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
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 allExplain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Subscribe to unlock allFind the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Subscribe to unlock allFind the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
Subscribe to unlock allFind the inverse of a 2x2 matrix #5
Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi
Subscribe to unlock allFind the inverse of a 3x3 matrix using cofactors #1
I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f
Subscribe to unlock allExplain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
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 allTeach me the basics of force, mass and weight
I am in SS 3. Teach me the difference between mass, force and weight from scratch, as if I
Subscribe to unlock allFind the resultant of two forces #3
Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the
Subscribe to unlock allFind the resultant of two forces #4
I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as
Subscribe to unlock allFind the resultant of several concurrent forces #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
Subscribe to unlock allFind the resultant of several concurrent forces #3
I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po
Subscribe to unlock allExplain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
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I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
Subscribe to unlock allShow all working: complex number equation question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so
Subscribe to unlock allShow all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
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