Sequences, Series & Patterns
In 1998, Nkem Chukwu gave birth to the first set of surviving octuplets. The eight babies weighed from 11.3 ounces to 28.6 ounces at birth. Leonard Weisman, the Texas Children’s Hospital’s chief of neonatal services, said it was imperative they gain lots of weight before they go home. “For instance, the 500-gram babies are going to have to quadruple their weight [to reach a healthy level],” he said. How many ounces will the heaviest baby have to gain to reach a healthy level?
Now that 2020 is finally here, let’s see what we can do with this new number!
If the perimeter of a particular square is 2020 inches, what is the area of the square, in square inches? Express your answer as a decimal to the nearest hundredth.
While there were many problems written and solved for MATHCOUNTS in 2019, below is a selection of some of the best of the year!
2018-2019 School Handbook, #27
A segment with endpoints G(-2, 3) and H(4, 7) is dilated by a scale factor of 2/3 with center of dilation (0, 0). What is the sum of all the coordinates of G’ and H’?
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 Pythagorean Triple Threat is a coed softball team. League rules require the batting order to alternate boy-girl-boy-girl… (or girl-boy-girl-boy…). If there are five girls and five boys on the team, how many different batting orders are possible?