Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,321 prompts matching "Practice: Finding the twentieth term of a given arithmetic progression"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve for command word: quadratic trigonometric equation
I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,
Subscribe to unlock allStructured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
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 allGive me an exam formula sheet for sequences and series
I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic
Subscribe to unlock allGive me a past-paper style question bank for sequences and series
I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog
Subscribe to unlock allWorked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
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 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 allWhy is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
Subscribe to unlock allShow all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Subscribe to unlock allSolve simultaneous equations with Cramer's rule (order 2) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
Subscribe to unlock allSolve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Subscribe to unlock allSolve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
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 allPosition vectors and displacement between points #3
I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the
Subscribe to unlock allPosition vectors and displacement between points #4
I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given
Subscribe to unlock allQuiz me on unit vectors
I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w
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