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.
Give me an exam formula sheet for permutations and combinations
I am in SS 3. Build me a short formula sheet covering every formula I need for permutation
Subscribe to unlock allWorked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Subscribe to unlock allWorked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Subscribe to unlock allWAEC past-question practice: matrices #2
I am in SS 3. Set me a typical WAEC Further Mathematics question combining matrix multipli
Subscribe to unlock allWAEC past-question practice: matrices #3
I am in SS 3. Drill me with a WAEC-style question on multiplying a 2x3 matrix by a 3x2 mat
Subscribe to unlock allWAEC past-question practice: matrices #7
I am in SS 3. Test me with a WAEC Further Mathematics matrix question under exam time pres
Subscribe to unlock allCompare expanding a determinant along different rows
I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e
Subscribe to unlock allWAEC past-question practice: determinants #2
I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu
Subscribe to unlock allWAEC past-question practice: determinants #4
I am in SS 3. Test me with a timed WAEC-style determinant question — give it to me cold, l
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 allWAEC past-question practice: inverse matrices #4
I am in SS 3. Test me with a timed WAEC-style inverse matrix question, give it to me cold,
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 allDefine particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Subscribe to unlock allResolve a force into horizontal and vertical components #1
Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor
Subscribe to unlock allResolve a force into horizontal and vertical components #4
I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to
Subscribe to unlock allWAEC past-question practice: coplanar forces #4
I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold
Subscribe to unlock allSpot my mistake in a binomial probability question
I am in SS 3. I calculated P(X=3) for a binomial distribution but I think I used the wrong
Subscribe to unlock allSpot my mistake in standardising a normal variable
I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf
Subscribe to unlock allWAEC past-question practice: probability distributions #4
I am in SS 3. Test me with a timed WAEC-style probability distribution question, give it t
Subscribe to unlock allFind the moment of a force about a point #1
I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro
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