Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2011 Grade 5 Algebra
Problem

1) On January 1st Linda has $14 in savings and John has $62. Linda saves $4.50 each month. John notices he spends $3.50 out of savings every month to build his tournament game card collection. On the first of which month will they have the same amount if this pattern continues?

2) Jim wants to swim 36 yards out into the ocean from the shore. He swims out 6 yards in 4 seconds but then in one second a wave pushes him back 3 yards. If this cycle continues, how long will it take Jim to get 36 yards out into the ocean from the shore for the first time?

3) In the pattern of figures shown below how many unit squares are needed to build the 8th figure?

Problem

4) Each week, Roxy mows Mrs. Smith's lawn and does some extra yard work. Mrs. Smith pays Roxy a fixed amount for mowing her lawn. He earns an additional hourly amount for extra work. Based on the table below, how much is the hourly amount for the extra work?

5) In the letter puzzle given, each letter stands for a different number from the list 1, 2, 3, 4, 5, 6. The value of O is less than the value of W. What number is WOW? 

    NET
   +TEN
    WOW