Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,329 prompts matching "The condition for the line never to meet the curve"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find 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 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 allShow all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
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 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 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 allSpot my mistake resolving a force
I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component
Subscribe to unlock allShow all working: resultant of forces question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
Subscribe to unlock allWAEC past-question practice: coplanar forces #2
I am in SS 3. Set me a WAEC-style question on resolving a force into horizontal and vertic
Subscribe to unlock allWAEC past-question practice: coplanar forces #4
I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold
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 allExplain friction and the coefficient of friction
I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t
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 three coplanar forces in equilibrium problem #3
I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a
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 #3
I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri
Subscribe to unlock allScalar (dot) and vector (cross) product practice #1
I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th
Subscribe to unlock allScalar (dot) and vector (cross) product practice #2
I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .
Subscribe to unlock allScalar (dot) and vector (cross) product practice #3
I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x
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