Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Teach me conditions for a line and a curve to intersect"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz: Choosing which equation of motion to use
Act as my SS3 Further Mathematics tutor and quiz me on choosing which equation of motion t
Subscribe to unlock allQuiz: The time of flight of a projectile
Act as my SS3 Further Mathematics tutor and quiz me on the time of flight of a projectile.
Subscribe to unlock allQuiz: Impulse as the change in momentum
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Subscribe to unlock allPractice: The conservation of momentum in a collision
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the conservati
Subscribe to unlock allSpot My Mistake: The sum of the first n terms of an arithmetic progression
Act as my SS3 Further Mathematics tutor. Work a question on the sum of the first n terms o
Subscribe to unlock allWorked Example: Finding the first term and the common difference from two given terms
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Subscribe to unlock allSpot My Mistake: Partial fractions with an irreducible quadratic factor
Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre
Subscribe to unlock allQuiz: The remainder theorem, and the remainder on dividing by x minus a
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Subscribe to unlock allExplain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Subscribe to unlock allIdentify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
Subscribe to unlock allExplain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Subscribe to unlock allSolve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
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 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 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 #4
I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as
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