Math Olympiad 4

Pattern Problems( Week 30 Evaluation)

9 × 9 + 7	=	88
98 × 9 + 6	=	888
987 × 9 + 5	=	8888
9876 × 9 + 4	=	88888

Fill the following blank by observing the above pattern:

98765 × 9 +

888888

2. There are 43 students in a line. Every 2 girls are followed by 1 boy and the pattern repeats. The first 2 in the line are girls. How many boys are there in the line?

3. If the current month were September, which month would it be 115 months from now?

4. Suppose today is Saturday. What day of the week would it be 50 days from now?

5. Suppose 16 days before the day after tomorrow was Sunday. What day of the week was yesterday?

A) Thursday

B) Saturday

C) Tuesday

D) Monday

6. Suppose 3 days ago was Sunday. What day of the week would it be 244 days from today?

7. Find the 18th term in the following sequence: 0,2,6,12,20,30,42,56,72...

8. If 3 days before yesterday was Tuesday, what day of the week will it be 50 days from today?

9. A "magic square" is a square array of numbers consisting of the distinct positive integers arranged such that the sum of the numbers in any horizontal, vertical, or the two main diagonal lines is always the same number. In the following "magic square", four numbers are given. What is the value of X?

24	3	18
	15
	X

10. A series of digits '490091490091490091...' has a certain pattern. What is the sum of the first 36 digits (starting from the left side) of the number?

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