Percents & Fractions
During the month of February, the 2020 Chapter Competitions took place across the country. Let’s look back at a few of the problems our competitors encountered.
The Sprint Round of the MATHCOUNTS Chapter Competition has 30 questions and students are given 40 minutes to complete the round. Though it isn’t expected that most students will finish all 40 questions, what is the average time a student can spend on each of the 30 questions, in minutes:seconds per question?
During this time of year, people around the world will be celebrating different holidays. Many of these holidays include getting together with family, exchanging gifts, eating special foods, celebrating, and remembering the reason for the holiday.
For the following problems, assume that the snowballs are perfect spheres.
Chiquita and Rhonda are each building a snowman. Rhonda tells Chiquita that she is making each of her 3 balls of snow 20% smaller than the one below it. Rhonda starts by making the base ball with a diameter of 20 inches. If she reduces the diameter by 20% each time she makes a new ball, what is the diameter of the third ball she makes (the ball for the snowman’s head)? Express your answer as a decimal to the nearest tenth.
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?”
Some organizations are looking to make a lot of money off of the flu vaccine that is in such high demand. A survey done last week reported that 55% of 677 hospital pharmacists who responded reported being offered the vaccine at highly inflated prices. Of those, 84% said they would not buy the vaccine at those prices. How many of the 677 hospital pharmacists did not say that they would not buy the vaccine at the high prices? Express your answer to the nearest whole number.
The ratio of girls to boys in Mrs. Franks’ 7th grade class is ¾ (excluding Mrs. Franks). On Monday, 4 girls and 6 boys got to go on a special field trip for honor roll students. Since no other students were absent on Monday, the ratio of girls remaining in the class to boys remaining in the class was 4/5. How many students are in Mrs. Franks’ class when everyone is present?
You may not have realized it, but Oregon has four of the 18 most active volcanoes in the United States. What percent of the country’s most active volcanoes is not in Oregon? Express your answer to the nearest whole percent.
Season 17 of American Idol ended earlier this year. At the end of the season finale, each of the three judges was asked to share his/her opinion about who should win the contest; Laine or Alejandro. Each of the three judges responded and audiences around the country basically heard “Laine,” “Laine,” “Laine.” If each judge answered either “Laine” or “Alejandro,” how many additional ways could the judges’ responses have been heard?
It’s probably a little strange to think that some students started school last week, some have another couple of weeks of summer vacation and still others are just continuing with their year-round school schedule! The date of the beginning of the school year has been a topic of debate throughout the last decade (and even before) in many areas across the United States. But the trend is definitely leaning towards starting school earlier rather than later. Basically, in the last 10 years, the percent of public schools going back to school before Labor Day has increased by 63%