Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,223 prompts matching "Practice: Showing that x plus 3 is a factor of a given polynomial"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
Subscribe to unlock allStructured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Subscribe to unlock allWAEC exam question: full binomial expansion to a stated power
I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f
Subscribe to unlock allWorked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Subscribe to unlock allStructured word problem: fencing a rectangular garden
I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria
Subscribe to unlock allStructured question: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno
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 allExplain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
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 allSolve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
Subscribe to unlock allSolve simultaneous equations using an inverse matrix #3
Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t
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 allExplain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
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: Expressing a number in the form a root b
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing
Subscribe to unlock allShow All Working: Solving a logarithmic equation and rejecting the invalid root
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Subscribe to unlock allShow All Working: Solving a quadratic by completing the square
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Subscribe to unlock allShow All Working: Three roots in arithmetic progression in a cubic
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on three root
Subscribe to unlock allShow All Working: Counting the handshakes, or the lines joining n points
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on counting t
Subscribe to unlock all