Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Quiz me on the binomial expansion of a bracket raised to the power four"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Evaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
Subscribe to unlock allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Subscribe to unlock allExplain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
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
Subscribe to unlock allDefine mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #1
I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin
Subscribe to unlock allSpot my mistake finding a vector magnitude
I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an
Subscribe to unlock allExplain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
Subscribe to unlock allSpot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
Subscribe to unlock allSpot my mistake integrating a polynomial
I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o
Subscribe to unlock allSpot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Subscribe to unlock allShow All Working: A three-set Venn diagram drawn from a subject survey
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a three-se
Subscribe to unlock allShow All Working: Replacing two parallel forces by a single resultant
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on replacing
Subscribe to unlock allShow that command word: three points are collinear
I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi
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 allSolve 2^(3x-1) = 16 with full working
I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style
Subscribe to unlock allSolve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
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,
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 allProve that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
Subscribe to unlock all