Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,117 prompts matching "word problem leading to a quadratic"
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 #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 allExplain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Subscribe to unlock allSolve simultaneous equations using an inverse matrix #1
I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th
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 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 allFind the resultant of two forces #1
I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each
Subscribe to unlock allFind the resultant of two forces #2
Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t
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 #5
I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t
Subscribe to unlock allFind the resultant of several concurrent forces #1
Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a
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 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 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 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 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 allFind the moment of a force about a point #2
I am in SS 3. Give me a moments problem with two forces of 10N and 6N acting at 3m and 5m
Subscribe to unlock allFind the moment of a force about a point #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
Subscribe to unlock allFind the moment of a force about a point #4
I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen
Subscribe to unlock allExplain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Subscribe to unlock all