Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Explain sum and product of roots back to me"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Compare 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 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 allQuiz me on the symmetry of the normal distribution curve
I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu
Subscribe to unlock allUse the normal distribution function to find a probability #1
I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5
Subscribe to unlock allUse the normal distribution function to find a probability #2
I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation
Subscribe to unlock allUse the normal distribution function to find a probability #3
I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8
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 allFind the moment of a force about a point #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
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 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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