Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Give me a 5-minute recap of the remainder theorem"
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 identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
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 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 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 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 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 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 allUse the normal distribution function to find a probability #1
I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5
Subscribe to unlock allUse the normal distribution function to find a probability #2
I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation
Subscribe to unlock allUse the normal distribution function to find a probability #3
I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8
Subscribe to unlock allSolve a friction and forces of equilibrium problem #2
I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict
Subscribe to unlock allSolve a friction and forces of equilibrium problem #3
I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri
Subscribe to unlock allQuiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
Subscribe to unlock allPosition vectors and displacement between points #1
I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto
Subscribe to unlock allPosition vectors and displacement between points #2
I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v
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 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 allTeach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
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