Calendar Problems( Week 27 Evaluation) 1. If there are 4 Fridays within November in a year, which of the following can be the last day of the month? 2. If there are 5 Fridays within December in a year, which of the following can be the last day of the month? 3. If there are 5 Mondays within August in a year, which of the following can be the 1st day of the month? 4. Below is a calendar of a certain month in a certain year. When you add up all the numbers in a column, you get a column sum. What is the smallest column sum? | SUN | MON | TUE | WED | THU | FRI | SAT | |
| | 1 | 2 | 3 | 4 | 5 | 6 | | 7 | 8 | 9 | 10 | 11 | 12 | 13 | | 14 | 15 | 16 | 17 | 18 | 19 | 20 | | 21 | 22 | 23 | 24 | 25 | 26 | 27 | | 28 | 29 | 30 | | | | | 5. Below is a calendar of a certain month in a certain year. When you add up all the numbers in a column, you get a column sum. What is the largest column sum? | SUN | MON | TUE | WED | THU | FRI | SAT | |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | | 8 | 9 | 10 | 11 | 12 | 13 | 14 | | 15 | 16 | 17 | 18 | 19 | 20 | 21 | | 22 | 23 | 24 | 25 | 26 | 27 | 28 | | 29 | 30 | | | | | | 6. Which of the following days could be the largest Saturday of the month following the first Sunday of the month? 7. Below is a calendar of a certain month in a certain year. When you add up all the numbers in a column, you get a column sum. What is the largest possible difference between any two column sums? | SUN | MON | TUE | WED | THU | FRI | SAT | |
| | 1 | 2 | 3 | 4 | 5 | 6 | | 7 | 8 | 9 | 10 | 11 | 12 | 13 | | 14 | 15 | 16 | 17 | 18 | 19 | 20 | | 21 | 22 | 23 | 24 | 25 | 26 | 27 | | 28 | 29 | 30 | 31 | | | | 8. Below is a calendar of a certain month of a certain year. Each cell on the calendar is a 1x1 square. There are 24 possible 2x2 grids (Do not count the title row of the grid). What is the smallest sum of the numbers in a 2x2 grid (If a cell has no number, assume it will be a 0)? | SUN | MON | TUE | WED | THU | FRI | SAT | |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | | 8 | 9 | 10 | 11 | 12 | 13 | 14 | | 15 | 16 | 17 | 18 | 19 | 20 | 21 | | 22 | 23 | 24 | 25 | 26 | 27 | 28 | | 29 | 30 | | | | | | 9. Suppose today is Wednesday. What day of the week was it 83 days ago? 10. If the current month were September, which month would it be 105 months from now? |