Advanced Math Test
AMDM – Midterm Review Name:___________________________
Unit 1
1. Fill in the missing information for each tire size.
Tire P245/70R16 P285/75R16
Width (mm)
Aspect Ratio (%)
Height (in.)
Remember:
25.4 mm = 1 inch
Circumference
2. You have a 50 inch television whose screen has an aspect ratio of 16:9.
Find the dimensions of the TV.
3. The diameter of a softball is 3.8 inches. Softballs are packed into a square box with side
lengths 36 inches. The softballs can be touching but they can’t be compressed. Estimate
how many softballs will fit inside the box.
(Hint: think about how many softballs would fit each side) V=L*W*H
4. You are attending the Peachtree Road Race (not running it) and have been charged with
estimating the attendance of the spectators. You decide to estimate using a smaller section of
the crowd to estimate the full attendance. You discover that 20 people fit in an 8 ft x 8 ft
square. If the route is 6.3 miles long and the crowd is 5 feet deep ONLY ON ONE SIDE OF
THE STREET. Estimate how many people are there to watch.
(Remember 1 mile = 5280 ft.)
5. Your grade for your English class is computed the following way:
Homework – 10%
Quizzes- 10%
Writing- 15%
Tests-50%
Final-15%
If you scored a 96 on HW, 75 on quizzes, 70 on writing, 85 on tests, and 75 on the final:
What would your grade be?
6. A baseball player had 118 hits in 360 at bats. What is the players batting average?
(Remember BA is 3 decimal places)
7. In the 2011 regular season, Derek Jeter had the following stats:
Hits: 162
Singles: ?
Doubles: 24
Triples: 4
Home Runs: 6
At Bats: 546
SLG: ?
What was Jeter’s Slugging % in 2011?
8. In the first game of the 2012 season against the Chiefs, Matt Ryan completed 23 passes in 31
attempts for a total of 299 yards, with 3 touchdowns and 0 interceptions. Complete each of
the following and find his quarterback rating for this game.
Quarterback Rating(QR):
9. What is the check digit (d) for the credit card number 4615 6890 2225 173d?
Codabar Method:
Add the digits in the odd-numbered positions and double this total.
Add the number of odd-position digits that are more than 4 to the total.
Add the even-position digits.
Choose a check digit that makes this calculation total a number whose final digit is 0.
Unit 2
Cody took a survey in his IF class. He asked the students which math course and science
course they were taking.
Students in Coach Trawick’s IF
10.Find the probability a student has AMDM.
11.Find the probability a student doesn’t have Math IV or AMDM.
Students survey 1,000 spectators at a baseball game. The survey results indicate the following:
600 are female
800 bat right-handed
350 of the people that bat right handed are male
It would be helpful to Venn Diagram or a Chart.
12.Find the probability a person selected is male.
13.Find the probability the person is male and bats left handed.
The chart below shows the food items available at the snack bar. Hint: Tree Diagram??
Main Course Side Item Drink
Hamburger
Grilled Cheese
Sandwich
Hot Dog
Pizza
Fries
Potato Salad
Green Beans
Coke
Juice
Water
Sweet Tea
14. What is the probability you select a hot dog, fries, and coke?
15.How many possible lunches could you choose?
Use the following Tree Diagram for problems #16 and #17
16.What is the probability that the
next outfit is a white shirt, black
tie, and pink pants?
17.What is the probability the next
outfit chosen IS NOT a blue shirt,
red tie, and purple pants?
Chloe is playing a video game in which she has to zap targets. Chloe can hit a target in one try an
average of 70% of the time.
18.What is the probability that Chloe hits two targets in a row?
19.What is the probability that Chloe misses the first target and hits the second?
20. A local trade union consists of plumbers and electricians. Classified according to rank:
Apprentice Journeyman Master
————————————
Plumbers 55 | 40 | 10
————————————
Electricians 25 | 40 | 10
————————————-
A member of the union is selected at random. Given that the person selected is an electrician, the
probability that he is a master is:
21. Choose an American adult at random. The probability that you choose a woman is 0.52. The
probability that the person you choose has a college degree is .39. Using this data, construct a tree diagram
and find the probability of choosing: a woman with a degree.
Unit 3
Classify the following studies as observational or experimental.
20.Scientists were trying to see if fat burners worked for middle age males. The scientists divided
middle aged males into two groups. Both groups continued their exercise as they always had,
but one group was given a fat burner. The scientists then examined the average weight loss of
the middle age men.
21.Scientists wanted to see if fat burners worked for middle aged men. So, they went to the local
gym and surveyed approximately 100 middle aged men to see if they thought that fat burners
really worked.
In a recent survey, 34.75% of Forsyth County Juniors knew what they wanted to major in during
college. The margin of error for this survey was 4.25%.±± 4 1
8 %
22.Give the range of values represented by this margin of error.
Use the following data on the average number of inches of precipitation per month in Denver to
answer the following:
23.Find the five number summary.
Minimum:
Q1:
Median:
Q3:
Maximum:
24.Find the IQR:
25.Find the outliers (if any):
The amount of time the average American high school student spends sleeping is 7.5 hours per
school night (population mean = 7.5). You want to see if this true of Central students. You survey
23 baseball players and ask them how much they sleep (in hours) per school night. Here are the
responses:
5, 7.5, 8, 9, 9.5, 8, 7.5, 6, 6.5, 7, 8.5, 8.5, 9, 10, 9.5, 6, 9.5, 10, 10, 8.5, 8, 6.5, 5
26.Find the sample mean:
27.Is the statistical bias low or high? Why?
Graph 1 Graph 2
Fill in the blank with the word LOW or HIGH:
28.___________Statistical Bias (graph 1) 32. ___________ Statistical Bias (graph 2)
29.___________ Variability (graph 1) 33. ___________Variability (graph 2)
