Spring Training

Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and gloves he purchased last spring, but he can’t remember the price of each item. Luis recalls making two purchases last spring, each totaling $135 and both tax exempt. The first purchase was for a glove and three bats. The second purchase was for two gloves and a bat.

E-Week 2020: Electrical Engineering

 

Today's Problem: Electrical Engineering

From tiny microchips and electronics to the electricity that powers our homes, electrical engineers’ work makes our fast-paced, plugged-in lives possible. This set of problems explores Ohm’s law, named after the German physicist and mathematician Georg Ohm, whose work was influential in electrical circuitry.
 

E-Week 2020: Biomedical Engineering

 

Today's Problem: Biomedical Engineering

Biomedical engineers play a vital role in medical advances and innovations that improve our health and save lives. One application of their work is advancing research into specialized care for patients. This set of problems looks at a recent biomedical invention—artificial hearts for people who suffer from certain forms of heart disease.
 

Let the Competitions Begin!

Chapter Competitions officially started this past weekend! Are you ready to compete? Let’s try a few 2019 Chapter Competition problems to get warmed up.

2019 Chapter Sprint Round, #20

Jones is chasing a car 800 meters ahead of him. He is on a horse moving at 50 km/h. If Jones catches up to the car in 4 minutes, how fast was the car moving?

Jones catches up 800 m in 4 min and thus, at a rate of:

Best of 2019!

While there were many problems written and solved for MATHCOUNTS in 2019, below is a selection of some of the best of the year!

2018-2019 School Handbook, #27

A segment with endpoints G(-2, 3) and H(4, 7) is dilated by a scale factor of 2/3 with center of dilation (0, 0). What is the sum of all the coordinates of G’ and H’?

In With The New

Millions of people will fix their eyes on the ball dropping in Times Square this New Year’s Eve to indicate the end of 2019 and the beginning of 2020.  The famous ball is six feet in diameter and weighs 1070 pounds.  If the weight were distributed evenly throughout the ball, what would be the average number of pounds per cubic foot, to the nearest tenth?  (Assume that the ball is a perfect sphere, though its surface is actually made up of 504 small, crystal triangles.)

Holiday Giving

A local charity is wrapping holiday gifts for local needy families. When 8 volunteers work together, they can get all of the gifts wrapped and distributed in 6 hours. How many hours would it have taken if there had been 12 volunteers, each working at the same rate?

Hayride

Abby, Brenda, Celia, Denise and Elizabeth are going to their town’s annual hayride. Tickets cost $8.00 for people 12 years old and older but only $5.00 for people 11 years old and younger. The total price for their five tickets is $31.00. How many people in the group are 12 years old or older?