Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "The sum to infinity of a geometric progression, and when it exists"
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 identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Subscribe to unlock allMulti-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
Subscribe to unlock allCompare expanding a determinant along different rows
I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e
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 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 when to use binomial versus Poisson
I am in SS 3. Explain the conditions under which I should use a binomial distribution vers
Subscribe to unlock allSpot my mistake in standardising a normal variable
I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf
Subscribe to unlock allShow all working: combined binomial and normal question
I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia
Subscribe to unlock allTeach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
Subscribe to unlock allQuiz me on unit vectors
I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w
Subscribe to unlock allWAEC past-question practice: vectors #1
I am in SS 3. Give me a WAEC Further Mathematics past-question style problem on vector add
Subscribe to unlock allWAEC past-question practice: vectors #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style question on position vectors a
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 allFind and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary
Subscribe to unlock allFind and classify stationary points #3
I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum
Subscribe to unlock allSpot my mistake using the product rule
I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ
Subscribe to unlock allQuiz me on rates of change problems
I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a
Subscribe to unlock allShow all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
Subscribe to unlock allKinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
Subscribe to unlock allKinematics: equations of motion practice #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a
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