1,018 prompts matching "Practice: Why an identity element must work from both sides"
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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
Explain the difference between remainder and factor theorem
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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
Give me practice identifying compound propositions
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Quiz me on why negation reverses every truth value
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Give me practice constructing truth tables
Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co
Teach me converse and inverse propositions
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Quiz me on converse and inverse
Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as
Explain converse and inverse back to me
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Give me practice on logical equivalence
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Explain biconditional and equivalence back to me
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Worked example: proving a statement is a tautology
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Give me practice identifying tautologies
Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru
Teach me how to determine the validity of an argument
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Give me practice testing argument validity
Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Teach me the universal and existential quantifiers
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Worked example: applying predicate logic to solve a problem
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Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number