Let the Competitions Begin!

Chapter competitions officially start this week! Are you ready to compete? Let’s try a few 2017 Chapter Competition problems to get warmed up.

If the sum of the positive integer a and 5 is less than 12, what is the sum of all possible values of a?

[Sprint #16]     

Baking Fruit Cake

Allie plans to make a fruit cake for her family plus four more to give away to friends. Shown here is a list of the ingredients required to make a fruit cake according to Allie’s recipe. How many ounces of mixed fruit are needed for Allie to make five fruit cakes, according to her recipe?

fruit cake ingredients.eps

O, Christmas Tree

Although, Franklin Pierce, the 14th U.S. President, originally brought the Christmas tree tradition to the White House, it was Calvin Coolidge, the 30th U.S. President, who, in 1923, started the National Christmas Tree Lighting Ceremony now held every year on the White House lawn. Last week, the president and first family continued that tradition by lighting a tree on the White House lawn. And speaking of trees, try to solve the following Christmas tree-themed problems.


Mrs. Hillestad has planned a dinner for 15 people this Thanksgiving. She bought 22.5 lbs of turkey, plus potatoes, cranberry salad, rolls and all of the traditional holiday food. Unfortunately, her daughter forgot to tell her that she was bringing three of her friends.  If Mrs. Hillestad wants to feed each person the same amount of turkey that she had originally planned, how much additional turkey must she purchase to accommodate these additional guests? Express your answer as a decimal to the nearest tenth.

Apples, Apples and More Apples!

The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 pounds. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 pound of apples?  

Labor Day

Labor Day is a product of the American labor movement and is dedicated to the social and economic achievement of American workers. In honor of this day and the American worker, let’s solve some Labor Day themed math problems!


School Makeover

Randolph has been contracted to tile classroom floors as part of the renovation of a local school. During the first five days on the job, Randolph completed tiling 4, 5, 6, 4 and 8 classrooms, respectively.  What is the average number of classrooms Randolph tiled each day during that
five­-day period? Express your answer as a decimal to the nearest tenth.

Vacation Planning Math

Dawn is planning a vacation. The dates of her vacation are September 18 through September 24, which will require her to take five 8-hour vacation days off from work. She accrues three-and-a-third vacation hours each payday, and her paydays are always the 15th and last days of each calendar month.  At the end of the day on July 15, Dawn’s total accrued vacation hours reached exactly 32 hours. If Dawn takes five vacation days in September, but uses no other vacation time, how many total vacation hours will she have at the end of the day on October 15?

Independence Day 2017

To celebrate Independence Day, students attending a summer camp painted the American flag mural, show here, with the dimensions in centimeters.  If the area of each of the stars is 22.2 cm2, how many square centimeters of the flag is painted blue?


American Eagle Day


June 20th is National American Eagle Day. The day is about honoring our national symbol and promoting awareness for protecting the Bald Eagle and assisting in recovering their natural habitats.