Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "WAEC-style multi-mark question on 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 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 allVerify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
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 #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 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 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 allResolve a force into horizontal and vertical components #2
Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the
Subscribe to unlock allResolve a force into horizontal and vertical components #3
I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to
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 allCommon Mistakes: Showing that intersection distributes over union
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allShow All Working: Solving an equation written in terms of a binary operation
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving an
Subscribe to unlock allCommon Mistakes: A binary operation defined by arithmetic modulo n
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allShow All Working: Expressing a number in the form a root b
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing
Subscribe to unlock allFinal Revision: Proving that root 2 is irrational
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allCommon Mistakes: Solving an exponential equation using logarithms
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allCommon Mistakes: Proving that a quadratic expression is positive for every real x
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allFinal Revision: Solving a disguised quadratic by substitution
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock all