1,044 prompts matching "Practice: Deciding whether root 16 is rational or irrational"
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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
Sum and product of roots of a cubic equation
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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 constructing truth tables
Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co
Spot my mistake in a truth table
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Worked example: converse and inverse of a statement
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Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
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
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
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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Give me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
Teach me the number of arrangements of n distinct objects
You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc
Give me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
Spot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Teach me how to the general term formula of a binomial expansion
You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial
Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter