2013년 10월 8일 화요일

The High School Challenge


High school students are taking more advanced science and math courses than ever, and graduating with many more science credits that could pave the way to careers in science and technology.

We invited high school teachers and other educators to send us their favorite questions. Try taking a short quiz and see how well you match up.

Start the quiz



Biology


Nearly half of all high school graduates take an advanced biology course, as offerings have expanded to include physiology, anatomy and genetics.

Percentage of high school graduates who earned credit

Which of the following conditions on Mars would be the first to kill a human who is unprotected and unassisted by life support?
AColder than Antarctic temperatures.
BLow air pressure.
CHigh CO2 atmosphere.
DExcess solar radiation due to a missing magnetic field.
Submitted by Edmund Smith, teacher
Two Rivers Magnet Middle School, East Hartford, Conn.
Why?
Exposure to the atmophere on Mars would likely kill a human in within minutes. Cold temperatures would take longer to kill somebody because heat does not transfer away from the body as quickly in a near-vacuum. High levels of solar radiation could lead to skin cancer, but it would not kill somebody immediately.

Two avatars are expecting a baby. The father and mother both have turquoise skin and are heterozygous for the trait. Turquoise (T) alleles are completely dominant to blue (t) alleles. What is the probability of their baby having blue skin?
A10%
B25%
C50%
D75%
Submitted by Sarah Kelsey Evans, science teacher
Forrest M. Bird Charter School, Sandpoint, Idaho
Why?
Both parent avatars have the genotype Tt. The probability that the baby avatar has the genotype TT is 25%, Tt is 50%, and tt is 25%. Because turqoise (T) alleles are completely dominant, the baby avatar will only have blue skin when it has a tt genotype.

45%1990:70%2009:

Chemistry

As schools have added more science credits to their graduation requirements, chemistry has had the sharpest rise: to 70 percent from 45 percent.
Percentage of high school graduates who earned credit
Raha Moharrak, the first Saudi woman to climb Everest, is trying to boil water for rice at base camp. How should she alter her recipe at a high elevation?
AShe should simmer the rice for less time. Because air pressure is lower at high altitudes, water boils at a lower temperature.
BShe should simmer the rice for more time. Because air pressure is lower at high altitudes, water boils at a lower temperature.
CShe should cook the rice at a lower temperature. Because air pressure is lower at high altitudes, water boils at a lower temperature.
DShe should cook the rice at a higher temperature. Because air pressure is lower at high altitudes, water boils at a lower temperature.
Submitted by Melissa Hirsch, chemistry teacher
Northfield Mount Hermon School, Gill, Mass.
Why?
The lower air pressure at high altitudes allows water to boil at a lower temperature. Because the water temperature does not increase after reaching the boiling point, the cooking time must be extended.
Table salt, NaCl, is made from:
ATwo unreactive nonmetals.
BTwo highly reactive metals.
CA highly reactive metal and a toxic gas.
DTwo toxic gases.
Submitted by Lisa Paschall, teacher
Friends Seminary, New York, N.Y.
Why?
Sodium (Na) is a metal that can explode when exposed to water, while chlorine (Cl) is a toxic gas.

25%1990:19%2009:

Computer ScienceAlthough technology jobs are abundant, the demand for computer science courses has fallen. Fewer than one in five students take it before graduation.
Percentage of high school graduates who earned credit
Given this pseudocode:
  • Tim is not allowed to drive.
  • Tim's_Age is 1
  • While Tim's_Age < 17, increase Tim's_Age by 1
  • Allow Tim to drive.
What will Tim's_Age be when he is allowed to drive?
A1
B16
C17
D18
Submitted by Mike Schmelder, computer science teacher
Lancaster Country Day School, Lancaster, Pa.
Why?
Tim's age will increase until it reaches 17, when it will no longer satisfy the condition of being less than 17 and Tim will be allowed to drive.
The terms "floating-point error" or "machine-precision error" refer to:
AThe inability of computers to accurately represent decimal numbers.
BThe random error introduced by computer hardware variation.
CThe possibility for computers to accidentally shift decimal points in numbers.
DThe pitfalls of humans blindly trusting computer calculations
Submitted by Elizabeth Qian
M.I.T. Educational Studies Program, Cambridge, Mass.
Why?
Because of how computers store information, they cannot precisely represent decimal numbers, which can lead to very small but measurable math errors.
53%1990:76%2009:

Algebra

In 1990, about half of graduating seniors had taken second-year algebra. Now, that number has shot up to 76 percent.
Percentage of high school graduates who earned credit

If two chickens lay two eggs in two days, how long does it take 100 chickens to lay 100 eggs?
AOne day.
BTwo days.
C100 days.
DThe problem can't be answered with the information given.
Submitted by Jan Gombert, former teacher
Detroit Community High School, Ann Arbor, Mich.
Why?
For two chickens to lay two eggs in two days, each chicken must lay eggs at a rate of 0.5 eggs per day. At that rate, 100 chickens would lay 50 eggs per day, or 100 eggs every two days.
A horse runs a two-lap race around a circular track. During the first lap, its average speed is 20 miles per hour. What must the horse's average speed be during the second lap so its average speed over the course of the entire two-lap race is 40 m.p.h.?
A60 mph.
B100mph.
CAn irrational number between 100mph and 1000mph.
DInfinitely fast.
Submitted by Zev Aber, private tutor
New York, N.Y.
Why?
Imagine each lap is 20 miles long. During the first lap, the horse runs at 20 m.p.h., taking an hour to run the 20-mile lap. To run the whole 40-mile race at 40 m.p.h., the horse would have to travel the next 20-mile lap without taking up any more time – infinitely fast.

14%1990:35%2009:

Precalculus

The percentage of students taking calculus and precalculus courses has more than doubled, making it more mainstream than it was 20 years ago.
Percentage of high school graduates who earned credit

If you wrap a rubber band around a ball 10 cm in diameter, then lift the band 1 cm off the ball all the way around, the band will be 6.28 cm longer. If you wrap a rubber band around the earth (radius=6,378 km) and again lift it up 1 cm all the way around, how much longer is the rubber band?
A4,005 km longer.
B8,011 km longer.
C6,378 km longer.
D6.28 cm longer.
Submitted by Jim Palfreyman

Why?
The answer may be counterintuitive – the length of a gigantic rubber band would seem to grow faster than the length of a small rubber band.

But the relationship between circumference (C, the length of the rubber band) and radius (r, the amount lifted up) of a circle is linear, given by the equation C = 2πr. For each increase in the radius of a circle by 1 cm, C grows by 6.28 cm, or 2 * π * 1.
A talented math student, while walking his girlfriend home, suggests the following: "Let's use the half method. Every time we travel half the remaining distance, I get a kiss." When asked to explain further, he said, "The total distance is four miles, so I get a kiss after we have traveled two miles. I will also get a kiss after we have traveled half of the remaining two miles, half of the remaining one mile, and so on." How many kisses does he get?
AThree kisses.
BFour kisses.
CThere is no solution.
DInfinite kisses.
Submitted by Carolyn Stewart, math and computer science teacher
Franklin Regional Senior High School, Murrysville, Pa.
Why?
The talented math student gets a kiss after two miles, and then after one mile, and then after a half mile, and then a quarter mile, and so on. The distance he will travel before receiving another kiss is an infinite series: 2 + 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 ... While the distance gets smaller, it never reaches zero.
24%1990:39%2009:

Physics

Physics, which can draw students to careers in engineering, has had a smaller jump than either biology or chemistry.
Percentage of high school graduates who earned credit

Sam has one pound of gold on the Moon, while Dylan has one pound of gold on Earth. Who has more gold?
ASam.
BDylan.
CThey have the same amount of gold.
DIt depends on how long Sam has been on the Moon.
Submitted by Marilyn Salagaj, physics teacher
Concord High School, Manchester, N.H.
Why?
Weight is a measure of the force on an object due to gravity. If Sam's gold weighs the same as Dylan's, he must have more of it, because the gravity pulling the gold to the ground is less on the Moon than it is on Earth.
If the Sun is a basketball, then Earth is:
AA tennis ball, 1 meter (3 feet) away
BA walnut, 3 meters (10 feet) away
CA pea, 6 meters (20 feet) away
DA fruit fly, 25 meters (85 feet) away
Submitted by Sebastian Popa
Bucharest, Romania
Why?
The Sun is 1,391,000 km in diameter. Earth is 12,742 km in diameter and is 149,600,000 km from the Sun. A standard basketball is about 24 cm in diameter, or 0.00024 km.

That means the diameter of the Sun is 5,795,833,333 times greater than the diameter of a basketball. (1,391,000 km / 0.00024 km = 5,795,833,333). If the distance of Earth were reduced by the same amount, it would be .025 km, or 25 meters (149,600,000 km / 5,795,833,333 = .025). If the diameter of Earth were reduced by the same amount, it would ,795,833,333 = 0.0000022 km).

 

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