A Salute to the Flag

In honor of Veteran’s Day, people around the country are flying American flags. For many people, finding flags to buy in stores was next to impossible due to the great demand.  Therefore, many of us got creative, and started making our own handmade flags out of paper, pins, construction paper, fabric, etc.

Fall vs. Autumn

As the weather is turning cooler and daylight is arriving later in the morning and trees are starting to lose their leaves, many of us are noticing that summer is over and we’re well into fall.  Or is it autumn?  Mr. Kravis surveyed his class, and out of 28 students (with every student picking exactly one of the two options), the ratio of the number of students who called the season “fall” to the number of students who called the season “autumn” was 3:1.  How many students called the season “fall?”

A Maze of Maize

Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (corn) Maze. When Bethany gets to the entrance of the Maze she is facing north. Following the paths, she walks straight ahead for 10 feet and reaches an intersection at which she turns right and walks 40 feet east, at which point the path dead ends. Bethany decides to back-track 15 feet and turns south. She walks 5 feet south and then turns and walks 6 feet east. If Bethany was to walk straight back to the entrance, cutting through the corn

Father's Day

For Father’s Day, Martin’s family is having a barbeque. Martin is making the lemonade. If the directions calls for 2 tablespoons of mix per quart of water, how many tablespoons of mix are needed to make 1.5 gallons of lemonade?

Fly a Kite

Molly has sketched a design for her new kite on a coordinate grid. The sides of her quadrilateral kite design are given by the equations y = (2/3)x + 30, y = (−2/3)x + 50, y = −2x + 30 and y = 2x – 30. How many square units are in the area of Molly’s design?

The Road to Nationals

“Job well done!” to all the Mathletes® who participated in the MATHCOUNTS Competition Series at the school, chapter and state levels. And congratulations to the 224 students who are headed to Orlando next month to compete in the 2019 Raytheon MATHCOUNTS National Competition! Let’s look at some of the challenging problems competitors faced on the road to Nationals!

School Target #8

Space Junk

Space junk is debris orbiting Earth that, for the most part, has been abandoned or has broken off spacecrafts and rockets. Some of these items are far enough from Earth that they will remain in orbit forever; however, much of this “junk” will be pulled into Earth’s atmosphere by gravity. On average, one item per day falls victim to gravity. At this rate, in what year will 2500 pieces of space junk enter the atmosphere if we begin counting on February 18th?

Geometry of Gift Giving

Vanessa bought some round holiday dessert plates to give as a gift to her friend. However, the store only had 5 of the 8 plates she wanted. (All of the plates are the same.) The stack of five plates measured 1.5 inches tall, and when two plates were removed from the stack the remaining stack of three plates had a height of 1 inch. When Vanessa finally has all 8 of the plates she wants, how tall will the stack of 8 plates be, in inches? Express your answer as a decimal to the nearest hundredth.