Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Practice: The condition for the line to be a tangent"
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 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 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
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 allTeach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
Subscribe to unlock allBuild my SS3 Further Maths WAEC revision timetable
I am in SS 3. Help me build a week-by-week revision timetable covering matrices, determina
Subscribe to unlock allExplain-back: resultant versus resolution of forces
I am in SS 3. Let me explain the difference between finding a resultant force and resolvin
Subscribe to unlock allLearn: The union of two sets written in set-builder notation
You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written
Subscribe to unlock allWorked Example: The intersection of two overlapping sets
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the in
Subscribe to unlock allQuiz: The complement of a set within a stated universal set
Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st
Subscribe to unlock allSpot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl
Subscribe to unlock allFinal Revision: The power set, and how many subsets a set of n elements has
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allLearn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Subscribe to unlock allWorked Example: Testing whether a binary operation is closed on a given set
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Subscribe to unlock allQuiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
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