Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Finding the centre and radius from a circle's equation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz: Relative velocity when the two motions are at right angles
Act as my SS3 Further Mathematics tutor and quiz me on relative velocity when the two moti
Subscribe to unlock allPractice: The triangle of velocities for a boat crossing a river
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the triangle o
Subscribe to unlock allQuiz: The tension in the string joining two connected particles
Act as my SS3 Further Mathematics tutor and quiz me on the tension in the string joining t
Subscribe to unlock allQuiz: The acceleration of a body sliding down a smooth incline
Act as my SS3 Further Mathematics tutor and quiz me on the acceleration of a body sliding
Subscribe to unlock allPractice: The frictional force on a body on a rough incline
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the frictional
Subscribe to unlock allQuiz: The velocity of a body in simple harmonic motion at a given displacement
Act as my SS3 Further Mathematics tutor and quiz me on the velocity of a body in simple ha
Subscribe to unlock allQuiz: The extension of a spring under a given load
Act as my SS3 Further Mathematics tutor and quiz me on the extension of a spring under a g
Subscribe to unlock allSpot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing
Act as my SS3 Further Mathematics tutor. Write a short answer on using an equation of cons
Subscribe to unlock allWhat a function is and function notation
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what
Subscribe to unlock allMapping diagrams and function types
I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi
Subscribe to unlock allTesting whether a relation is a function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test
Subscribe to unlock allThe vertical line test
I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid
Subscribe to unlock allShowing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
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 allRestricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Subscribe to unlock allShow that command word: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
Subscribe to unlock allStructured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Subscribe to unlock allWAEC exam question: solving an equation involving surds
I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai
Subscribe to unlock allShow that command word: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
Subscribe to unlock all