1. You have a total of 50 quarters and dimes worth $8. How many coins of each type do you have?

2. What is the angle between the hands of a clock at 2:45 (in degrees)?

3. From a pool of 4 women and 7 men, a committee consisting of 5 people, at least one of which must be a woman, is to be formed. In how many ways can this be done?

4. Find all real x satisfying log₄(log₃(log₂ x )) = −1/2.

5. Solve the equation x² = |2x − 1|.

6. If x + 1/x = 3, find x⁴ + 1/x⁴.

7. Find the first three digits of 2017²⁰¹⁷.

8. If 2x³ − 9x² +ax +b has x + 2 and x − 1 as factors, what must a and b be?

Here are the answers.