878 prompts matching "Structured question: circle with a diameter given by two endpoints"
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Give me practice on converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a
Quiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Give me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
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
Give me practice testing argument validity
Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Worked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Worked example: arranging letters of a word
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
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
Give me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
When to use permutations versus combinations
Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh
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
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Teach me probability using permutations and combinations
Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be