1,000 prompts matching "A savings problem modelled by an arithmetic progression"
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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
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
Quiz me on probability with combinations
Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Explain combinatorial probability back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to set up a probabilit
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Worked example: finding where a line meets a circle
Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig
Teach me finding stationary points
Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom
Teach me what a matrix is
Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its
Spot my mistake finding a vector's magnitude
Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma
Solve the logarithmic equation log2(x) + log2(x-2) = 3
Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =
Solve the logarithmic equation log(x+1) - log(x-1) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =
Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +
Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)
Solve the logarithmic equation log5(x+3) + log5(2) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =
Simplify the surd expression sqrt(72) + sqrt(18)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18
Simplify the surd expression sqrt(50) - sqrt(8)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)
Simplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Simplify the surd expression 5/(1+sqrt3)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra