Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "IGCSE Additional Maths Y11: The nCr key on the calculator — Teach Me"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Complex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
Subscribe to unlock allComplex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Subscribe to unlock allExplain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allExplain-back: what a matrix inverse actually does
I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d
Subscribe to unlock allExplain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Subscribe to unlock allWorked example: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
Subscribe to unlock allWorked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Subscribe to unlock allSpot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
Subscribe to unlock allSpot my mistake integrating a polynomial
I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o
Subscribe to unlock allSpot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Subscribe to unlock allQuiz me: matrices, determinants and inverses mixed
I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d
Subscribe to unlock allShow that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Subscribe to unlock allSpot my mistake in a Pascal's row truth table
I am in SS 3. I will show you my attempt at a truth table for a compound proposition with
Subscribe to unlock allWorked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Subscribe to unlock allWorked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Subscribe to unlock allSubtract two matrices, 2x2 #4
Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t
Subscribe to unlock allSubtract two matrices, 3x3 #8
Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]
Subscribe to unlock allIdentify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
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 allScalar (dot) and vector (cross) product practice #1
I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th
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