Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "find the centre and radius of the circle x^2+y^2-4x+6y-3=0"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find 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 allStructured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
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 allWAEC Prep: A table of components used to find a resultant
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a table of compone
Subscribe to unlock allExplain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Subscribe to unlock allExplain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
Subscribe to unlock allExplain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
Subscribe to unlock allUse the normal distribution function to find a probability #4
I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1
Subscribe to unlock allSolve a friction and forces of equilibrium problem #1
I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi
Subscribe to unlock allQuiz me on modulus and argument of complex numbers
I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t
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 allWorked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Subscribe to unlock allShow All Working: Finding a coefficient given a stated relation between the roots
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on finding a
Subscribe to unlock allWAEC Prep: Finding a coefficient of a cubic given one of its roots
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allCommon Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allCommon Mistakes: The condition for a line to be a tangent to a circle
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allCommon Mistakes: The condition for a body to complete a vertical circle
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
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 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
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