Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,316 prompts matching "Real-life application of completing the square"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Scalar multiplication of a matrix #4
I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a
Subscribe to unlock allExplain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
Subscribe to unlock allOrder of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Subscribe to unlock allMulti-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
Subscribe to unlock allSolve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Subscribe to unlock allSolve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
Subscribe to unlock allQuiz me on units of force
Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv
Subscribe to unlock allShow all working: resultant of forces question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
Subscribe to unlock allTeach me composition of coplanar forces
I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr
Subscribe to unlock allExplain standard deviation and the normal curve
I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c
Subscribe to unlock allUse the normal distribution function to find a probability #4
I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1
Subscribe to unlock allTeach me equilibrium of forces from scratch
I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never
Subscribe to unlock allSolve a friction and forces of equilibrium problem #1
I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi
Subscribe to unlock allExplain the difference between scalar and vector product
I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros
Subscribe to unlock allExplain why a complex number times its conjugate is real
I have just studied why a complex number times its conjugate is real in my SS3 Further Mat
Subscribe to unlock allQuiz me on modulus and argument of complex numbers
I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t
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 allSpot my mistake using the product rule
I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ
Subscribe to unlock allQuiz me on rates of change problems
I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a
Subscribe to unlock allKinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
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