1. Suppose that $f(x)$ is a polynomial that has degree $6$ and $g(x)$ is a polynomial that has degree $3$. If $h(x)$ is also a polynomial such that $f(g(x)) + g(h(x)) + h(f(x))$ is a polynomial of degree $36$, then what is the degree of the polynomial $h$?
2. Jane's quiz scores were 98, 97, 92, 85 and 93. What was her mean score?
3. We roll a fair 6-sided die 5 times. What is the probability that we get a 6 in at most 2 of the rolls?
4. Find the length of the curve y = ln x between the points where y = 1/2 and y = 1.
5. How many odd perfect squares are between 5 and 211?
