Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2008 Grade 8 Algebra
Problem
1) Study the sequence of shapes below built out of squares. How many squares would be in the nth term of the sequence?
2) What is the next term in this sequence:
    1, 2, 2, 4, 8, 32, 256, __

3) What is the 8th term in the following sequence?
    0th     SOHCAHTOA
    1st     AOTHACHOS
    2nd     AOHACHOS
    3rd     SOHCAHOA
    4th     SOCAHOA

Problem
4)A shape is formed by the lines x = 3, y = 2x + 6 and y = 0. Use the coordinate grid to draw the shape. What is the area of the shape?
5) Mary realizes that she can buy 5 tops and 2 pairs of jeans for $96 because of store deals. She also figures out that she can buy 3 tops and 4 pairs of jeans for $115. If the tops all cost the same and the jeans all cost the same how much is just one pair of jeans?