Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,330 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Vectors and simple geometry proof
I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera
Subscribe to unlock allModulus, argument and the Argand diagram #1
I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an
Subscribe to unlock allModulus, argument and the Argand diagram #2
I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod
Subscribe to unlock allModulus, argument and the Argand diagram #3
I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in
Subscribe to unlock allModulus, argument and the Argand diagram #4
I am in SS 3. Give me a complex number problem where I must, for z = -3 - 4i, find the mod
Subscribe to unlock allDifferentiation practice question #1
I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let
Subscribe to unlock allDifferentiation practice question #2
I am in SS 3. Give me a differentiation problem where y = (2x+1)(x-3), find dy/dx using th
Subscribe to unlock allDifferentiation practice question #3
I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t
Subscribe to unlock allDifferentiation practice question #4
I am in SS 3. Give me a differentiation problem where y = (2x-1)^5, find dy/dx using the c
Subscribe to unlock allDifferentiation practice question #5
I am in SS 3. Give me a differentiation problem where y = sin(3x) + cos(2x), find dy/dx. L
Subscribe to unlock allIntegration practice question #3
I am in SS 3. Give me an integration problem where I must find the definite integral of x^
Subscribe to unlock allIntegration practice question #4
I am in SS 3. Give me an integration problem where I must find the area under the curve y
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 allTeach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Subscribe to unlock allExplain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
Subscribe to unlock allExplain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
Subscribe to unlock allSpot my mistake in a projectile motion question
I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr
Subscribe to unlock allShow all working: the range and the greatest height of a projectile
I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest
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