Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,327 prompts matching "how many ways can 5 books be arranged on a shelf"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Subscribe to unlock allQuiz me on 2x2 and 3x3 determinants together
Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te
Subscribe to unlock allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Subscribe to unlock allSolve simultaneous equations using an inverse matrix #3
Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t
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 allResolve a force into horizontal and vertical components #1
Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor
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 allTeach me composition of coplanar forces
I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr
Subscribe to unlock allExplain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Subscribe to unlock allProjectile motion problem #4
I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a
Subscribe to unlock allWorked example: binomial distribution problem
I am in SS 3. Show me one fully worked binomial probability example step by step, then giv
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 allPractice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
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 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 allCommon Mistakes: Solving an equation in which the unknown sits under a root
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
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
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