Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2010 Grade 5 Algebra
Problem

1) Joni is watching her baby sister stack blocks and has discovered that there's an actual pattern! How many blocks would the 7th tower have?

2) The Math Club has a Math Olympiad clock made for their coach where the numbers on the clock are replaced with the letters MATH OLYMPIAD. The M is at 12, A at 1, all the way around ending with D at 11. It is now 2 o'clock with the hour hand pointing to the T. One hundred hours later, which letter will the hour hand point to?

Problem

3) Swiper, Dora, and Bob collect Pokemon cards. Swiper has 15 Pokemon cards. Dora has 3/5 more cards than Swiper. Bob has 2/3 more cards than Dora. How many cards does Bob have?

4) Lena is keeping track of time as she walks a trail in the park. This is the chart she created with her data when she got home. What time was it when she passed the 2 3/4 mile marker?

5) I'm a mystery number. If you multiply me by 3 and then add 4 the result is the same number if you multiply me by 4 and then add 3. What number is the result and what number am I?