1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Teach me solving quadratic equations by factorisation
Act as my SS2 Further Maths tutor. Teach me the full method for solving a quadratic equati
Quiz me: solving quadratics by factorisation
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto
Teach me the completing the square when the coefficient of x squared is one
You are my SS2 Further Mathematics tutor. Teach me completing the square when the coeffici
Teach me writing the sum and product of the roots from the coefficients
You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root
Teach me solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Quiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Find the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Quiz me on the finding the remainder when a cubic is divided by a linear factor
Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic
Explain the difference between remainder and factor theorem
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between the
Give me practice identifying compound propositions
Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as
Teach me the truth table for disjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti
Teach me the truth table of p if and only if q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,
Quiz me on the why p implies q is true when p is false
Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f
Give me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau