Gobble! Gobble!

In 2018 the United States is expected to produce 240 million turkeys. That is a decrease of 1% compared to the number of turkeys produced in 2017. How many turkeys were produced in the U.S. during 2017? Express your answer to the nearest million.

Veterans Day

In celebration of Veterans Day, here are a few problems based on data obtained from the U.S. Census Bureau, 2017 American Community Survey 1-Year Estimates.

In the United States in 2017, there were an estimated 251,047,650 adult civilians (persons 18 years of age and older not currently enlisted in the U.S. military). If 18,204,605 of those individuals were veterans, what percentage of the adult civilian population of the United States did veterans account for in 2017? Express your answer to the nearest hundredth.

Voter Turnout

In the town of Newtonville, 60% of the registered voters turned out to cast their votes in the most recent election. If 2814 residents of Newtonville voted in this election, how many registered voters were there in Newtonville?

We are told that 2814 represents 60% of the registered voters in Newtonville. Thus, there are 2814 ÷ 0.60 = 4690 registered voters in Newtonville.

Happy New (School) Year!

A new school year often means new school clothes, new teachers and new friends. One of our favorite parts of a new school year is the release of a new MATHCOUNTS School Handbook! Download your free copy after solving a few problems from some previous handbooks.

Lily is going to the movies with Abby, Bea and Jaclyn. Abby wants to sit at the end of a row, and Bea only cares that she is seated next to Jaclyn. In how many different ways can the girls be seated in a single row that has only four seats?

We're #ALLCAPS

Congratulations to the Washington Capitals hockey team on winning the Stanley Cup! To celebrate the NHL champions, we have a few hockey themed problems for you to solve.

In the quest to win the Stanley Cup, the Washington Capitals played in four playoff rounds. During each round, they faced a different opponent in a best-of-seven series, in which the winner was the first team to win four games. What is the absolute difference between the greatest and least number of games that a team could play in four such rounds to become the Stanley Cup Champions?

Graduation Gift Cards

Derrick received a total of 21 gift cards for graduation. He received gift cards in each of four denominations, $25, $50, $75 and $100. The number of $100 gift cards Derrick got was twice the number of $75 gift cards he received. The total value of the $50 gift cards he got exceeded the total combined value of the $25, $75 and $100 gift cards by $100. How many $25 gift cards did Derrick get for graduation?

April Showers

Sun City earned its name because it rarely rains there. In fact, it rains only 54 days each year there, on average. What percent of the days in 2018 is it expected to rain in Sun City? Express your answer to the nearest hundredth.

The percent of the days in 2018 it is expected to rain is 54/365 = 0.1479452055 14.79%.

 

Congrats, State Winners!

 

Congratulations to everyone who competed in the 2018 State Competition, especially to the winners who are headed to Washington, DC next month to compete in the 2018 Raytheon MATHCOUNTS National Competition! Now that the competitions have officially wrapped up, let’s take a look at a few of the challenging problems from the 2018 State Competition.

Springtime Babies

 

A baby rabbit moves 5 inches forward with each hop and his mother moves 14 inches forward with each hop. After the mother and baby each hop 10 hops in the same direction, the mother stops and waits for her baby to catch up. How many hops does the baby have to take to catch up?

Mathopolis Snowfall

 

The snowfall in Mathopolis totaled 68.1 inches in 2015 and 11.2 inches in 2017. If the average yearly snowfall for 2015, 2016 and 2017 was 35.6 inches, how many total inches of snow fell in Mathopolis in 2016? Express your answer as a decimal to the nearest tenth.