Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2008 Grade 7 Algebra

Problem
1) There is a population of 832 rabbits in the city of Lakewood. The population of rabbits doubled every six months. What was the population of rabbits 30 months ago?

2) What is the next term in this sequence:
    1, 2, 2, 4, 8, 32, 256, __ ?


3) Study the sequence of shapes below built out of squares. How many squares would be in the 10th term of the sequence?

Problem
4) A ladybug is walking along the bottom edge of a window frame. The y-axis shows distance from the corner of the window frame in inches. The x-axis shows time in seconds. How fast is she walking?
5) The flat bottomed rectangular pool is being drained. The water level is given by

    water level at time t minutes = 6 - 0.05t feet

How long will it take for the water level to drop to 3 feet?
Express your answer in hours and minutes.