Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2011 Grade 7 Number Sense

Problem
1) A palindromic number is one which is the same read backwards and forwards. For example, 121 and 3443 are palindromic numbers. What is the next palindromic number after 79311397?

2) A number with exactly five factors can have at most how many different prime factors?
3) Maria has a $50 gift certificate to go out to dinner with her best friend. They decide to spend as much of the $50 as possible. They also decide to order the same thing and narrow it down to three options. What should they choose and what will be the total they spend? Add on 25% for tax and tip.
  a) Chicken cordon bleu with drinks - $14.95
  b) Prime rib with drinks - $21.95
  c) Lobster tail with drinks - $19.95

Problem

4) Insert parentheses into the expression so that the result is as large as possible. What is that result?


5) A company has a 1 billion dollar loan from a bank. The first year the loan is interest free. At the start of the next year the company must pay back 1% of the loan plus 0.1% interest on the new outstanding balance. What is the company's first interest payment to the bank expressed in scientific notation?