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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Test me under exam conditions on polynomials and the remainder/factor theorems"

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 #2

Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip

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Scalar multiplication of a matrix #3

Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att

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Scalar multiplication of a matrix #5

I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],

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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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Multi-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

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WAEC past-question practice: matrices #1

I am in SS 3. Give me a WAEC Further Mathematics past-question style problem on matrix add

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Evaluate a 3x3 determinant by expansion #1

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

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Evaluate a 3x3 determinant by expansion #2

Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi

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Evaluate a 3x3 determinant by expansion #4

I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat

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Evaluate a 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

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WAEC past-question practice: determinants #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on evaluating a 3x3 determi

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WAEC past-question practice: determinants #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question applying Cramer's rul

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WAEC 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

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Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

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Solve 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

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Solve 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

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WAEC 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,

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Define 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

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Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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