1,045 prompts matching "The identity matrix, and what it does in a product"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Structured question: add and simplify two polynomials
I am in SS 2. Set me a structured Additional Maths question where I must add two given pol
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Practice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
Practice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Practice: Showing that x plus 3 is a factor of a given polynomial
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x
Show All Working: Solving a cubic that must first be rearranged
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic
Worked Example: Sentences that are not propositions
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on senten
Show All Working: Translating an English sentence into logical symbols
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on translating an
Worked Example: What a contradiction is
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on what a
Practice: Showing that a statement is a tautology
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that a
Worked Example: Premises and conclusion
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on premis
Practice: A selection that must include one particular member
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a selection th
Practice: The symmetry of a row of Pascal's triangle
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the symmetry o
Worked example: factorising a harder trinomial
Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic