Math practice test 2

Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles?

• 42 miles

• 72 miles

• 28 miles

• 18 miles

28 miles

1 mi = 1.609 km

Given the histograms shown below, which of the following statements is true?

• Group A is skewed left and has a mean age that is less than the mean age of Group B.

• Group A is skewed right and has a mean age that is more than the mean age of Group B.

• Group B is skewed left and has a mean age that is more than the mean age of Group A.

• Group B is skewed right and has a mean age that is less than the mean age of Group A.

Group B is skewed left and has a mean age that is more than the mean age of Group A

What statement best describes the rate of change?

• Every day, the snow melts about 10 centimeters.

• Every day, the snow melts about 5 centimeters.

• Every day, the snow on the ground increases by about 10 centimeters.

• Every day, the snow on the ground increases by about 5 centimeters.

Every day, the snow melts about 5 centimeters.

How many milligrams are in 5 grams?

_________ mg

5000

Given the double bar graph shown below, which of the following statements is true?

• The number of trees planted by the Juniors is skewed right, while the number of trees planted by the Seniors is approximately normal.

• The number of trees planted by the Juniors is skewed left, while the number of trees planted by the Seniors is skewed right.

• The number of trees planted by the Juniors is skewed right, while the number of trees planted by the Seniors is skewed left.

• The number of trees planted by the Juniors is approximately normal, while the number of trees planted by the Seniors is skewed right.

The number of trees planted by the Juniors is skewed left, while the number of trees planted by the Seniors is skewed right.

The graph below shows the weekly church attendance among residents in the town of Ellsford. The town has five different denominations: Episcopal, Methodist, Baptist, Catholic, and Orthodox. Approximately what percentage of church-goers in Ellsford attend Catholic churches?

• 23%

• 28%

• 36%

• 42%

28%

Based on their prescribing habits, a set of doctors was divided into three groups: 13 of the doctors were placed in Group X because they always prescribed medication. 512 of the doctors were placed in Group Y because they never prescribed medication. 14 of the doctors were placed in Group Z because they sometimes prescribed medication. Order the groups from largest to smallest, according to the number of doctors in each group.

• Group X, Group Y, Group Z

• Group Z, Group Y, Group X

• Group Z, Group X, Group Y

• Group Y, Group X, Group Z

Group Y, Group X, Group Z

A book has a width of 2.5 decimeters. What is the width of the book in centimeters?

• 0.25 centimeters

• 25 centimeters

• 250 centimeters

• 0.025 centimeters

25 centimeters

One decimeter = 10 centimeters

Profile of Staff at Hospital X and Hospital Y

(Total Staff: 433)

Hospital X (250)		Hospital Y (183)
Profession
74	Doctor	55
121	Registered Nurse	87
14	Administrator	9
15	Maintenance	11
6	Pharmacist	5
4	Radiologist	2
2	Physical Therapist	2
1	Speech Pathologist	1
13	Other	11
Gender
153	Male	93
97	Female	90
Age
24	Youngest	22
73	Oldest	77
Ethnicity
51	African American	42
50	Asian American	27
45	Hispanic American	35
47	Caucasian	37
57	Other	42
Years on Staff
64	0–5	32
63	5–10	41
57	10–15	67
47	15–20	30
14	20–25	19
5	More than 25	5
Number of Patient Complaints
202	0	161
43	1–4	21
5	5–10	1
0	More than 10	0

 

Which percentage is greatest?

• The percentage of Asian Americans to staff as a whole at Hospital X

• The percentage of staff members who have been on staff 10–15 years to staff as a whole at Hospital X

• The percentage of doctors to staff as a whole at Hospital X and Hospital Y

• The percentage of staff with 1–4 complaints to staff as a whole at Hospital Y

The percentage of doctors to staff as a whole at Hospital X and Hospital Y

The number of houses Amelia has sold per year over the past ten years is listed below:

42, 36, 39, 45, 11, 47, 38, 41, 44, 34

Which of the following measures will most accurately reflect the number of houses she sold per year?

• Mean

• Median

• Mode

• Range

Median

The outlier of 11 would skew the data if the mean or range were used; therefore, the median is the most appropriate measure for reflecting the number of houses she sold per year.

If Leonard bought 2 packs of batteries for x amount of dollars, how many packs of batteries could he purchase for $5.00 at the same rate?

• 10x

• 2/x

• 2x

• 10/x

10/x

Set the relationship up, and solve for the number of packs.

2x = packs / 5

Cross multiply.

10=x(packs)

Divide both sides by x.

10 / x = packs

When the sampling distribution of sample means is taken from large samples, which of the following is true?

• The distribution is approximately normal.

• The distribution is positively skewed.

• The distribution is negatively skewed.

• There is no predictive shape to the distribution.

The distribution is approximately normal.

*The sampling distribution of means approaches normal as the sample size increases

A certain exam has 30 questions. A student gets 1 point for each question he gets right and loses half a point for a question he answers incorrectly; he neither gains nor loses any points for a question left blank. If C is the number of questions a student gets right and B is the number of questions he leaves blank, which of the following represents his score on the exam?

• C− ½ B

• C− ½ (30−B)

• C− ½ (30−B−C)

• (30−C)− ½ (30−B)

C− ½ (30−B−C)

Adrian measures the circumference of a circular picture frame with a radius of 3 inches. Which of the following is the best estimate for the circumference of the frame?

• 12 inches

• 16 inches

• 18 inches

• 24 inches

18 inches

Circumference= 2(3.14)(r)

Olga drew the regular figure shown here. She painted part of the figure a light color and part of it a darker color. She left the rest of the figure white.

write an equation that best models the part of the figure Olga left white?

• 1−1/3−1/3=1/3

• 1−1/6−1/6=2/3

• 1−1/6−1/2=1/3

• 1−1/2−1/3=2/3

1−1/6−1/2=1/3

Between the years 2000 and 2010, the number of births in the town of Daneville increased from 1,432 to 2,219. What is the approximate percent increase in the number of births during those ten years? Round your answer to the nearest whole percent.

55%

subtract 1,432 to 2,219 then divide by 1432

To begin making her soup, Jennifer added 4 containers of chicken broth with 1 liter of water into the pot. Each container of chicken broth contains 410 milliliters. How much liquid is in the pot?

• 1.64 liters

• 2.64 liters

• 5.44 liters

• 6.12 liters

2.64 liters

1,000 milliliters in 1 liter

Martin’s bed is 7 feet in length. What is the length of the bed in centimeters?

• 209.42 cm

• 213.36 cm

• 215.52 cm

• 217.94 cm

213.36 cm

2.54 cm = 1 in

Find the area of the composite figure below.

• 60 ft2

• 72 ft2

• 100 ft2

• 120 ft2

72 ft2

Convert 14.75 kilograms to decigrams.

• 14,750 dg

• 147,500 dg

• 1.475 dg

• 0.1475 dg

147,500 dg

kg is 10³ and deca is 10¹ so adding 3+1= 4 places right

Rick recently renovated his home and made his bedroom 40% longer and wider than it had been. If the original dimensions were 144 inches by 168 inches, what are the new dimensions of his room in feet?

• 12 ft×14 ft

• 16.8 ft×19.6 ft

• 4.8 ft×5.6 ft

• 201.6 ft×235.2 ft

16.8 ft×19.6 ft

What is the approximate area of the shaded region between the circle and the square in the figure shown below? Use 3.14 for π.

• 177 cm2

• 181 cm2

• 187 cm2

• 193 cm2

193 cm2

area of the square is A=s2=(30 cm)2=900 cm2. The area of the circle is A=πr2=π(15 cm)2≈707 cm2. The area of the shaded region is equal to the difference of the area of the square and the area of the circle, or 900 cm2−707 cm2, which equals 193 cm2.