Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,320 prompts matching "Factorising the sum of two cubes"
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 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 allFind the inverse of a 3x3 matrix using cofactors #2
I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through
Subscribe to unlock allFind the inverse of a 3x3 matrix using cofactors #3
Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in
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 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 several concurrent forces #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
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
Subscribe to unlock allExplain the properties of the normal distribution curve
I am in SS 3. In your own words, explain the key properties of the normal distribution cur
Subscribe to unlock allFind the moment of a force about a point #1
I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro
Subscribe to unlock allExplain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
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 allTeach me the suvat equations of motion
I am in SS 3. Teach me the five suvat equations of motion, when to use each one, and one w
Subscribe to unlock allShow all working: the range and the greatest height of a projectile
I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest
Subscribe to unlock allWorked example: finding the matrix of cofactors and the adjugate
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma
Subscribe to unlock allTeach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
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 allExplain Back: Finding the identity element of a binary operation
I have just studied finding the identity element of a binary operation in my SS3 Further M
Subscribe to unlock all