Math Olympiad 4

Calendar Problem( Week 28 Evaluation)

1. I made an appointment 4 days ago. The appointment was 6 days after the day I made the appointment. Today is Sunday. What day of week will be my appointment day?

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

A) Friday

B) Thursday

C) Saturday

D) Monday

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

A) Sunday

B) Wednesday

C) Monday

D) Tuesday

4. The last Monday of a month was on the 29th day of the month. What day of the week was the first day of the month?

A) Thursday

B) Tuesday

C) Sunday

D) Monday

5. Below is a calendar of a certain month in a certain year. Each cell on the calendar is a 1x1 square. There are 20 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 Saturdays, 5 Fridays in August of a certain year. What day of the week is August 8th of the same year?

7. There are 4 Fridays, 5 Thursdays in November of a certain year. What day of the week is November 22nd of the same year?

8. January has 31 days. Suppose January 1st occurs on Monday in a certain year. What day of the week is February 15th 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?