1,043 prompts matching "Practice: Rationalising a denominator with a whole number multiplying the surd"
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Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Quiz me on subtracting a polynomial written in a bracket
Act as my SS2 Further Mathematics tutor and quiz me on subtracting a polynomial written in
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
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 solving cubic equations
Act as my SS2 Further Maths tutor. Quiz me with three cubic equations to solve completely,
Sum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
Teach me converse and inverse propositions
Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a
Teach me logically equivalent propositions
Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit
Quiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Quiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Quiz me on predicate logic statements
Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
Teach me arranging objects round a circle
You are my SS2 Further Mathematics tutor. Teach me arranging objects round a circle, in cl
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
Quiz me on combinations where one member must be included
Act as my SS2 Further Maths tutor. Quiz me with five combination problems, mixing straight