Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "Give me practice solving cubic equations"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
Subscribe to unlock allFind the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
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 allSolve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Subscribe to unlock allSolve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
Subscribe to unlock allAP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
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 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: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
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 allSubtract two matrices, 2x2 #4
Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t
Subscribe to unlock allSubtract two matrices, 3x3 #8
Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]
Subscribe to unlock allMultiply matrices step by step #4
Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using
Subscribe to unlock allShow all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
Subscribe to unlock allEvaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Subscribe to unlock allFind the inverse of a 2x2 matrix #4
Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ
Subscribe to unlock allFind the inverse of a 3x3 matrix using cofactors #3
Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in
Subscribe to unlock allSpot my mistake in finding a matrix inverse
I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d
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