Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Quiz me on line and curve intersection conditions"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Position vectors and displacement between points #1
I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto
Subscribe to unlock allPosition vectors and displacement between points #2
I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v
Subscribe to unlock allShow that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Subscribe to unlock allStructured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Subscribe to unlock allWorked Example: The area between a curve and the x-axis
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ar
Subscribe to unlock allWorked Example: The shape, period and range of the cosine curve
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the sh
Subscribe to unlock allQuiz: The gradient of the line through two points
Act as my SS3 Further Mathematics tutor and quiz me on the gradient of the line through tw
Subscribe to unlock allFinding the inverse of a simple linear function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
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 allWAEC exam question: remainder theorem with two conditions
I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno
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 allFind the equation command word: circle through the origin
I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th
Subscribe to unlock allStructured question: prove a trigonometric identity
I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu
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 allStructured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Subscribe to unlock allExplain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
Subscribe to unlock allStructured question: choosing a committee with a condition
I am in SS 3. Set me a structured combinations question where a committee must be chosen f
Subscribe to unlock allShow that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
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