1,036 prompts matching "Structured question: solve an exponential equation using indices"
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Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Give me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
Explain predicate logic back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between pro
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
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
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 combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Spot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e
Explain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Teach me rationalising the denominator
Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Quiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Spot my mistake simplifying a surd
Act as my SS2 Further Maths tutor. I tried to simplify sqrt(50) but I'm not confident in m
Explain surds back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration
Explain logarithm laws back to me
Act as my SS2 Further Maths tutor. I'll explain the laws of logarithms in my own words, an
Teach me the basic trigonometric identities
Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including