Write up a detailed report or story of how you solved the following problems. I am more interested in the process you used to get to a solution than having a "right" solution. In cases where there is more than one solution/strategy, try to have as many as you can find. You must complete two level 1’s or one level 2 question for submission. 1. (L1) In a doctor’s office, there is a desk calendar made of 2 cubes to show the day of the month (1-31). What digits have to be on each cube so that every day of any month can be represented properly? 2. (L2) The Parks and Recreation Department is planning a tournament for club lacrosse teams in the area. Sixty-four teams have entered to play. Teams will be placed in a single elimination bracket at random. Four fields are available for tournament use. Games will only be played on Saturdays from 8:00 am until 4:00 pm. Games are 40 minutes in length. Ten minutes is allotted for half time and 10 minutes for teams to warm up. A team can play only one round each Saturday. Your job is to report how many fields are being used each Saturday during the tournament. The parks department also needs to know how much available field space they have each weekend for other activities. 3. (L1) Using the digits 2 0 1 8 in that order, create expressions that equal the numbers 1 to 10 by inserting any mathematical symbols. 4. (L2) Your rich friend needs your help with her business for 30 days. She makes you an offer to pay you 1¢ the first day, 2¢ the second day, 4¢ the third day, each day doubling the previous day’s pay. Of course, you were insulted and were about to refuse when she said, "Ok, ok, how about $1,000.00 a day with a $1,000.00 raise each day." You gladly accept and your friend bursts out laughing. What is so funny? Determine exactly how much you would make under each payment plan. How many days will you have to work for the first payment plan to be the best deal? 5. (L1) You need 21 snap cubes or other objects. The goal is to make your partner take the last object. Snap the 21 cub