Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,278 prompts matching "Find sum and product of roots of x^2 + 4x - 12 = 0"
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 allFind 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 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 #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 #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
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 allScalar (dot) and vector (cross) product practice #4
I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be
Subscribe to unlock allExplain the difference between scalar and vector product
I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros
Subscribe to unlock allQuiz me on modulus and argument of complex numbers
I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t
Subscribe to unlock allFind and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify
Subscribe to unlock allWorked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Subscribe to unlock allSpot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Subscribe to unlock allSpot My Mistake: Finding the inverse of an element under a binary operation
Act as my SS3 Further Mathematics tutor. Work a question on finding the inverse of an elem
Subscribe to unlock allPractice: Rationalising a denominator of the form root a
Act as my SS3 Further Mathematics tutor. Give me five practice questions on rationalising
Subscribe to unlock allShow All Working: Solving a logarithmic equation and rejecting the invalid root
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Subscribe to unlock allSpot My Mistake: Forming a new equation whose roots are the reciprocals of the original
Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r
Subscribe to unlock allCommon Mistakes: Symmetric functions when the three roots of a cubic are involved
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
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