# Competition Math

Below are the Middle School and High School Math Problems for the 1st Rural Robotics Competition. The problems were selected to be solved, however, heavy judging was placed on the method of solving and whether the students showed all of their work.

**Middle School Team Math Problems (7 ^{th} – 9^{th})**

For each of the five problems below complete them on one sheet of paper each, show ALL your work including all calculations and organize your work as follows:

a) Print the names of the team members at the top.

b) Draw a sketch of the problem and include all the facts you are given.

c) Show all formulas and all your work, including calculations.

d) Describe in words what you had to do to solve the problem.

e) Draw a square around the final answers. Be sure to include any units.

**Problem #1:** My bedroom floor is an exact square. One side of my room is 10 feet. How many square yards of carpet do I need to cover my bedroom floor?

**Problem #2:** Which would give you the most money at the end of 30 days? A) a penny a day B) a quarter every Tuesday and Thursday, or C) a dime for each day who’s number ends in a 5. The month starts on a Wednesday.

**Problem #3:** I started working at 11am. I worked for 2.5 hours then I rested for 30 minutes, then I worked for one hour and 30 minutes, then I rested for .5 hours, then I worked for ¾ of an hour. What time did I finish working?

**Problem #4:** When I walk my steps are exactly 12 inches. For every three steps forward I take one step backward. How far, in inches and feet, will I have traveled after taking 16 total steps (forward and backward)?

**Problem #5:** You want your robot to travel 150 inches. The circumference of your wheels is exactly 10 inches. How many wheel rotations would you have to program your robot in order to travel the distance?

Team members should work together to come up with the best solutions. Teams cannot work together.

READ THE RULES CAREFULLY. YOU WILL BE JUDGED ON FOLLOWING THE RULES AND IN SHOWING ALL YOUR WORK, INCLUDING ALL CALCULATIONS. REMEMBER ONE SHEET OF PAPER FOR EACH PROBLEM. BE READY TO EXPLAIN TO THE JUDGES ONE OF THE PROBLEMS THAT THE JUDGES WILL SELECT.

**High School Team Math Problems (10 ^{th} – 12^{th})**

For each of the five problems below complete them on one sheet of paper each, show ALL your work including all calculations and organize your work as follows:

a) Print the names of the team members at the top.

b) Draw a sketch of the problem and include all the facts you are given.

c) Show all formulas and all your work, including calculations.

d) Describe in words what you had to do to solve the problem.

e) Draw a square around the final answers. Be sure to include any units.

**Problem #1:** My bedroom floor is an exact square. The diagonal distance from opposite corners is 14 feet. How many square yards of carpet do I need to cover my bedroom floor?

**Problem #2:** Which would give you the most money at the end of 60 days? A) a penny a day B) a quarter every Tuesday and Thursday, or C) a dime for each day who’s number begins with a 2 and a dime for each day who’s number ends in a 5. Both months are 30 days long and the first month starts on a Wednesday.

**Problem #3:** I started working at 11am. I worked for 2.5 hours then I rested for 35 minutes, then I worked for one hour and 39 minutes, then I rested for .6 hours, then I worked for ¾ of an hour. A) What time did I finish working? B) If I would not have rested what time would I have finished working?

**Problem #4:** When I walk my steps are exactly 18 inches. For every three steps forward I take one step backward. How far, in feet, will I have traveled after taking 20 total steps (forward and backward)?

**Problem #5:** You want your robot to travel a distance of 25 feet. The radius of your wheels is exactly 4.78 inches. How many wheel rotations would you have to program your robot in order to travel the distance?

Team members should work together to come up with the best solutions. Teams cannot work together.

READ THE RULES CAREFULLY. YOU WILL BE JUDGED ON FOLLOWING THE RULES AND IN SHOWING ALL YOUR WORK, INCLUDING ALL CALCULATIONS. REMEMBER ONE SHEET OF PAPER FOR EACH PROBLEM. BE READY TO EXPLAIN TO THE JUDGES ONE OF THE PROBLEMS THAT THE JUDGES WILL SELECT.

**Tags**: bedroom floor, math, problem, School Team Math, Team Math Problems, team members