Monthly Math Challenge

From November thru February, TEAMS publishes a monthly math challenge designed to get students thinking and using the type of math they may encounter during the TEAMS competition.

Directions: Copy and districute the math challenge to our students. They may work on the problem individualy or as a team, although each student's answer must be submitted individually by the TEAMS coach.

Correct entries for the month will be placed in a drawing and one name will be randomly drawn on the 2nd Friday of the month following the challenge. The student whose name is drawn will be sent a $25 Visa gift card via their TEAMS coach.

Rules:

  1. Answers must be submitted using the provided answer submission link by 11:59 PM Eastern  Standard Time on the last day of the month.
  2. All parts of the monthly question must be answered correctly. If two questions are posed, both must be answered correctly.
  3. Answsers submitted must be fore the current month's posted problem.
  4. High school students (grades 9-12) may only submit answers for the high school challege, middle school students (grades 6-8) may only submit answers for the middle school challege.
  5. One entry per student per month allowed.

Middle School Math Challenge - December

Engineers have been tasked to implement a green roof on a building by planting greenery on a circular rooftop.  The entire surface cannot be used: there must be room left for maintenance.  The decision is made to use a hexagon shape for the greenery.

The circumference of a 3.00 m diameter circle is 9.42 m. The perimeter of a 4-sided figure (square) enclosed in the circle is 8.49 m. 

Find both the perimeter and the area of a hexagon (6-sided) enclosed in the circle. (An answer for both perimeter and area must be provided.)

Answer submission link

High  School Math Challenge - December

Engineers have been tasked to implement a green roof on a building by planting greenery on a circular rooftop.  The entire surface cannot be used: there must be room left for maintenance.  The decision is made to use a hexagon shape for the greenery.

The circumference of a 3.00 m diameter circle is 9.42 m. The perimeter of a 4-sided figure (square) enclosed in the circle is 8.49 m.

  1. Find the both the perimeter and the area of a hexagon (6-sided) enclosed in the circle. (An answer for both perimeter and area must be provided.)
  2. Using the variable “n” for the number of sides of a figure and “d” for the diameter of the circle within which the figure is enclosed, determine a function to calculate the figure’s perimeter. Use only right angle trig.  

Answer submission link

Middle School Monthly Math Challenge – November

A household pays 14 cents per kilowatt (kW) hour (hr) for electricity.  If the household leaves on a 30 Watts (W) compact fluorescent porch light for 3000 hours a year, what is the associated annual energy cost associated with this decision?

Solution

High School Monthly Math Challenge – November

A park is applying to be recognized as a dark sky park.  Currently, 71% of the park’s 2124 fixtures are dark sky compliant.  Over the next five years the park must have 90% of park lighting fixtures dark sky compliant.  How many fixtures must the park improve per year to meet their 90% dark sky compliance goal?

Solution