High School Math Jeopardy

GEOMETRY

100

What is the perimeter of a square that has an area of 25?

20

200

What is the area of a circle in which a 6 by 8 rectangle is inscribed?

25pi. The length of a diagonal of a 6 by 8 rectangle is 10 (pythagorean theorem). The diagonal of the rectangle is the diameter of the circle inscribed, and A = pi*r^2

300

At a certain time of day, a 25-foot telephone pole casts a 10-foot shadow. At that same time, how high would a tree have to be in order to cast a 25-food shadow?

62.5 feet. Proportional reasoning with similar triangles.

400

What is the sum of interior angles for a hexagon?

S=(n-2)*180 

S=4*180=720 degrees.

500

What is the number of sides of a polygon in which the sum of the degree measures of the interior angles is 4 times the sum of the degree measures of the exterior angles?

10. Sum of the degree measures of exterior angles is 360. S = (n-2)180 = 4 x 360, where n=number of sides. Solving for (n-2) = 8 or n=10.

ALGEBRA 2

100

If x^-2 = 64, what is the value of x^(1/3) + x^0?

3/2

200

Let the function f be defined by f(x) = 3x-1 and let the function g be defined by g(x) = x^2. If m is a positive number such that f(7) = g(m) + g(2), what is the value of m?

4

300

A culture of 5000 bacteria triples every 15 minutes. What is the size of the bacteria population after 2 hours have elapsed? (Calculator needed.)

32,805,000

400

What is the equation of the graph obtained by shifting the graph of y=x^2 horizontally to the left 4 units and vertically down 3 units?

y = (x+4)^2 - 3

500

Find the zeros of y=x^2+4x+13

x= -2+3i

x= -2-3i

Section 9.1

100

Find P(x<=u) for a normal distribution

P=0.5

200

A data set consists of the x-values {3, 7, 9, 4, 10, 19}. Removing which value would decrease the standard deviation the most?

x=19

300

What % of area lies within 3 standard deviations of the mean in a normal distribution?

99.7%

400

In a data set which is skewed right, what value is greater:  the mean, or the median?

Mean

500

What x-value needs to be added to this data set to make the mean equal to 10?

x={10, 13, 12, 5, 8, 18} 

x=4

Section 9.2

100

Identify the population and the sample:

To estimate the average GPA of students in La Grande High School, a teacher randomly selects 80 students and finds their average GPA is 3.24.

Population: all students at LHS

Sample: the 80 students selected

200

Is this a parameter or a statistic?

20% of roller coasters in the USA were measured, and the average height was found to be 167 feet.

Statistic

300

A die is rolled 80 times: "1" occurs 11 times, "2" occurs 15 times, "3" occurs 9 times, "4" occurs 13 times, "5" occurs 14 times, and "6" occurs 18 times.  Calculate the proportion of rolls resulting in an even number.

23/40 or 0.575

400

A random sample of 5 people at a movie theater from a population of 200 people who watched the movie rated the movie as 5/5 stars.  Can you conclude that everyone at the movie theater would rate it 5/5 stars?  Why or why not?

No - sample size is too small to representative of the population.

500

What is the plural of the word "hypothesis" ?

Hypotheses

Section 9.3

100

What is the preferred way of sampling a population?

Random

200

Identify the sample type:

A ride-sharing company surveys every 10th customer to ask if they are satisfied with the service.

Systematic

300

Identify the method of data collection:

An arborist prunes 2 different peach trees, one in spring and one in fall, and compares the amount of peaches each tree produces over the next growing season.

Experiment

400

Identify and correct the problem in the following survey question:

Are you satisfied with the selection of colors and the quality of the clothing in our store?

Too much information - it needs to be split into 2 separate questions.

500

What is the best data collection method to answer the following question?  Why?

Does smoking cigarettes increase the risk of developing tooth cavities?

Observational study from existing health data.

It would be unethical to do an experiment requiring people to start or continue smoking cigarettes.  People may be inclined to lie on a survey about sensitive health information.