Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Quiz me on arrangements when some of the objects are alike"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve 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 allExplain-back: what a matrix inverse actually does
I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d
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 allSpot My Mistake: An aeroplane in a cross-wind, and its resultant track
Act as my SS3 Further Mathematics tutor. Work a question on an aeroplane in a cross-wind,
Subscribe to unlock allSpot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve
Subscribe to unlock allSpot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with
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 allShow that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
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
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