Math Olympiad 4

Calendar Problem( Week 28 Evaluation)

1. I made an appointment 5 days ago. The appointment was 11 days after the day I made the appointment. Today is Saturday. What day of week will be my appointment day?

2. If the 1st day of a month is Wednesday, which of the following could be the last day of the month?

A) Tuesday

B) Monday

C) Saturday

D) Sunday

3. The last day of a month is Sunday. Which of the following could it be the 1st day of the month?

A) Saturday

B) Thursday

C) Wednesday

D) Tuesday

4. The last Friday of a month was on the 26th day of the month. What day of the week was the first day of the month?

A) Sunday

B) Thursday

C) Monday

D) Tuesday

5. Below is a calendar of a certain month in a certain year. Each cell on the calendar is a 1x1 square. There are 15 possible 3x3 grids (Do not count the title row of the grid). What is the largest sum of the numbers in a 3x3 grid (If a cell has no number, assume it will be a 0)?

6. There are 4 Wednesdays, 5 Tuesdays in March of a certain year. What day of the week is March 3rd of the same year?

7. There are 4 Thursdays, 5 Wednesdays in June of a certain year. What day of the week is June 29th of the same year?

8. January has 31 days. Suppose January 1st occurs on Tuesday in a certain year. What day of the week is February 21st of the same year?

9. Below is a calendar of a certain month in a certain year. Each cell on the calendar is a 1x1 square. How many 2x2 grids are there in which each cell in the 2x2 grid has a number in it?

10. Below is a calendar of a certain month in a certain year. Each cell on the calendar is a 1x1 square. How many 3x3 grids are there in which each cell in the 3x3 grid has a number in it?