Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,331 prompts matching "A line and a curve meeting once without the line being a tangent"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz 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 allSpot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
Subscribe to unlock allDomain and range of an inverse function
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allGraphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Subscribe to unlock allFinding f(x) given a description of the function rule
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allStructured question: equation of a line through two points
I am in SS 3. Give me a structured question where I find the equation of a straight line t
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Subscribe to unlock allFind the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Subscribe to unlock allFind the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Subscribe to unlock allGive me a past-paper style question bank for linear-quadratic simultaneous equations
I am in SS 3. Give me a bank of four exam-style questions on linear-quadratic simultaneous
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allStructured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Subscribe to unlock allStructured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Subscribe to unlock allWorked Example: A singular matrix, and why it has no inverse
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on a sing
Subscribe to unlock allWAEC Prep: Using concurrence to locate an unknown line of action
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through using concurrence
Subscribe to unlock allWAEC Prep: A particle in equilibrium on a smooth inclined plane
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a particle in equi
Subscribe to unlock allSpot My Mistake: Drawing a vector as a directed line segment
Act as my SS3 Further Mathematics tutor. Work a question on drawing a vector as a directed
Subscribe to unlock allWAEC Prep: Splitting a fraction with two distinct linear factors
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: Dividing a polynomial by a linear divisor by long division
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: Using a regression line to estimate a value
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through using a regression
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