Directions: Solve problems by finding a pattern. 1) In Tara's math class, each student made up a number pattern for classmates to identify. These are the numbers that Tara wrote. Find the pattern and identify the first and seventh numbers in the table.

a. first number:
b. seventh number:

Tara's Pattern

1st

2nd

3rd

4th

5th

6th

7th

3/8

5/16

9/32

17/64

33/128

2) In 1990 first-class mail cost $0.25 for the first ounce or fraction and $0.20 for each additional ounce or fraction. Annette sent two letters. One weighed 3 ounces. The other weighed 5 1/2 ounces. What was the total cost?

3) David told Jen, "Write three two-digit numbers. I'll add three more and give you the sum right away." Jen wrote 53, 42, and 31. Then David wrote 46, 57, and 68 and said the sum was 297. Was he right? What pattern did he use?

Directions: Choose a strategy and solve.

4) When Felix started his paper route, he had 25 customers. Every second week he gained 2 new customers. Every third week he lost a customer. How many customers did he have in the seventh week?

5) In three days Speedy the squirrel ate 30 peanuts. On both the second and third day, Speedy ate 7 peanuts more than on the day before. How many peanuts did Speedy eat the first day?