Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,313 prompts matching "Structured question: find fg(x) and gf(x)"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find the moment of a force about a point #2
I am in SS 3. Give me a moments problem with two forces of 10N and 6N acting at 3m and 5m
Subscribe to unlock allFind the moment of a force about a point #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
Subscribe to unlock allFind the moment of a force about a point #4
I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen
Subscribe to unlock allExplain friction and the coefficient of friction
I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t
Subscribe to unlock allWAEC past-question practice: equilibrium #2
I am in SS 3. Set me a WAEC-style question on three coplanar forces in equilibrium, exactl
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 allVectors and simple geometry proof
I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera
Subscribe to unlock allWAEC past-question practice: vectors #4
I am in SS 3. Test me with a timed WAEC-style vectors question, give it to me cold, then m
Subscribe to unlock allModulus, argument and the Argand diagram #3
I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in
Subscribe to unlock allWAEC past-question practice: complex numbers #4
I am in SS 3. Test me with a timed WAEC-style complex numbers question, give it to me cold
Subscribe to unlock allExplain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
Subscribe to unlock allExplain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Subscribe to unlock allWAEC past-question practice: calculus #4
I am in SS 3. Test me with a timed WAEC-style calculus question, give it to me cold, then
Subscribe to unlock allExplain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
Subscribe to unlock allSpot my mistake in a projectile motion question
I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr
Subscribe to unlock allShow all working: the range and the greatest height of a projectile
I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest
Subscribe to unlock allExplain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Subscribe to unlock allWAEC past-question practice: mechanics #4
I am in SS 3. Test me with a timed WAEC-style mechanics question, give it to me cold, then
Subscribe to unlock allMixed-topic WAEC Further Mathematics past-question set
I am in SS 3. Give me a mixed set of five short WAEC Further Mathematics past-question sty
Subscribe to unlock all