Countdown (30sec)
Sprint!!! (raise hand)
Team (2min)
Target (3min)
Wild Card
100
Troy has 16 quarters and 13 nickels. Michael has 18 quarters and n nickels. If Troy and Michael have the same amount of money, what is the value of n?
3
100
Four consecutive odd integers sum to 256. What is the least of the four integers?
61
100
What is the arithmetic mean of the squares of the first ten positive integers? Express your answer as a decimal to the nearest tenth.
Two letters are randomly chosen without replacement from the word MATHCOUNTS. What is the probability that both are consonants? Express your answer as a common fraction.
38.5 & 7/15
100
Chris needs to move 500 kg of furniture 5000 km from San Francisco to Washington D.C. One moving company charges a $500 fixed cost for any move in addition to $0.30 per kilometer traveled and $0.40 per kilogram carried. A different moving company charges no fixed cost, but charges $0.50 per kilometer traveled and $0.30 per kilogram carried. How many dollars can Chris save by choosing the less expensive moving company?
$450
100
Why did Math Team stop?
COVID
200
Zola the ant walked 1 meter, then 15 cm and then 3.7 cm. How many millimeters did Zola walk?
1187
200
Alexandra plays poker with seven friends. Each of the eight players starts with 60 chips, but players take chips from one another as play progresses. The goal of the game is to win all of the chips. A player drops out of the game if she loses all her chips to other players in the game. After five players have dropped out of the game, what is the average number of chips each of the remaining players has?
160
200
The grid shows the streets in downtown Geometrika. All streets run either
north-south or east-west. Adjacent parallel streets are 1 km apart. The seven
restaurants in Geometrika are located at the street corners labeled with stars. To
get between any two locations the city, Henry must walk on the streets. Ignoring
street widths, he positions himself on the streets such
that he minimizes the average of the walking distances
between himself and the restaurants in the city. From
Henry’s chosen position, what is the average of the
walking distances between him and each restaurant?
Express your answer as a common fraction.
2 & 22/7 km
200
Matt, the donut quality inspector, randomly tastes five donuts out of 10 dozen. If one or more donuts tastes burnt or is under cooked, then the whole batch has to be discarded. Given that there are exactly four unacceptable donuts in a batch of 10 dozen, what is the probability that Matt rejects the batch? Express your answer to the nearest whole percent.
16%
200
Who was the Math Team sponsor BEFORE covid?
Mr. Hollenbeck
300
The line 2x + 6y = 12 passes through one point with positive integer coordinates. What is the sum of the coordinates of that point?
4
300
The team had an easy trip to the MATHCOUNTS contest, but a detour on the way home made the return trip take twice as long. If the new route home (including the detour) was 50% longer than the original trip, and the average speed returning was 10 mi/h slower, what was the average speed of the team going to the contest?
40 mi/h
300
Jackie sold two cars for $25,000 each. The first car sold for a profit of 22%, and the second sold at a loss of 7%. What was the total percent profit on the sale of the two cars? Express your answer to the nearest hundredth.
5.54 & 9
300
It costs a geometrist $400 to set up machinery and $3 to produce each bigon. If she makes the bigons to order and sells the bigons for $8 each, what is the least positive number of bigons she has to sell to avoid losing money?
80
300
Give the name of one of the old MVMS Math Team coaches. HINT: One of them was Kelly's older brother, whose name also starts with Ke. The other coach's name was a common girl name and also a PALINDROME (ex: Bob or Ava)
Kevin or Hannah
400
The diameter of circle A is equal to the radius of circle B. What is the ratio of the area of circle A to the area of circle B. Express your answer as a common fraction.
1/4
400
In the figure, each segment between two adjacent vertices has
length 1 unit. How many ways are there to go from A to B
along a sequence of 10 segments without touching a side or
vertex of the shaded square?
72
400
Fabian has a deck of 25 cards. Each card has an integer between 1 and 5, inclusive, printed on it in one of five colors: red, orange, green, blue, or violet. Each number-color combination appears on exactly one card in the deck. Fabian draws four cards at random, without replacement, from the deck. What is the probability that exactly two different numbers and exactly three different colors appear on his four cards? Express your answer as a common fraction.
A unit square contains four congruent non-overlapping
equilateral triangles as shown in the figure. What is the largest
possible side-length of one of the triangles? Express your
answer as a decimal to the nearest thousandth.
24/253 & 0.634
400
In rectangle ABCD, side AB has length 10 cm and side BC has length 6 cm. Point Y is on side BC such that CY = 2 cm. Segment AY intersects diagonal BD at point E. What is the length of segment AE? Express your answer as a common fraction in simplest radical form.
6sqrt(29)/5
400
What year did Juho and Kelly start their MVMS Math Team Journey?
2018
500
What is the probability that a randomly chosen positive integer factor of 2025 is prime? Express your answer as a common fraction.
2/15
500
What is the probability that three randomly drawn real numbers between 0 and 1 have a sum less than 1? Express your answer as a common fraction.
1/6
500
An obelisk is the frustum of a square pyramid, capped by a smaller
square pyramid called the pyramidion. The obelisk shown has
the following dimensions: the side length of the lower base of the
frustum is 10 meters, the diagonal of the upper base of the frustum
is 10 meters long, and the height of the frustum is 60 meters. The
base of the pyramidion is congruent with the upper base of the
frustum, and the height of the pyramidion is 10 meters. What is the
total volume of the obelisk? Express your answer to the nearest ten.
4580 & 2526
500
Fifty students participated in a MATHCOUNTS Chapter competition. The histogram shows the distribution of their Target Round scores. What was the mean score of the competitors on the Target Round? Express your answer as a decimal to the nearest tenth.
6.2
500
The full address of Mount View Middle School (number, street, city, state, zip code)
12101 Woodford Dr, Marriottsville, MD 21104