2014-2015 6th Grade Compacted Spring Semester Review Name:

____ 1. Identify the sample space and the outcome shown for spinning the game spinner.

a. Sample space: {W, X, Y, Z}

Outcome shown: Z

c. Sample space: {V, W, X, Y, Z}

Outcome shown: X

b. Sample space: {W, X, Y, Z}

Outcome shown: X

d. Sample space: {W, Y, Z}

Outcome shown: X

____ 2. An airplane flight has 228 seats. The probability that a person who buys a ticket actually goes on that flight is

about 95%. If the airline wants to fill all the seats on the flight, how many tickets should it sell?

a. 217 tickets c. 345 tickets

b. 2400 tickets d. 240 tickets

____ 3. Gloria reviewed the recent records for dog license applications. He counted the number of applications for

different types of dogs. The table shows the information that Gloria collected. Estimate the probability that

the next dog license application will be for a collie. Express your answer as a percent. If necessary, round

your answer to the nearest tenth.

Dog Collie Chihuahua Labrador Bulldog Other

Number of

Licenses 14 20 33 11 40

a. 842.9% c. 11.9%

b. 88.1% d. 13.5%

____ 4. While waiting for the school bus, Michiko records the colors of all cars passing through an intersection. The

table shows the results. Estimate the probability that the next car through the intersection will be red. Express

your answer as a percent. If necessary, round your answer to the nearest tenth.

Car Color Red Silver Gray Black

Number of Cars 11 24 16 9

a. 11% c. 18.3%

b. 81.7% d. 22.4%

W

X

Y

Z

____ 5. A spinner is divided into 4 sections using the colors red, orange, green, and blue. After 50 trials, the spinner

landed on red 10 times, on orange 16 times, on green 6 times, and on blue 18 times. What would you estimate

as the probability of the spinner not landing on green?

a.

b.

c.

d.

____ 6. An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two

numbers will be 4? Express your answer as a fraction in simplest form.

a. c.

b. d.

____ 7. Use the table to write the ratio of green beans to peas.

Type of Vegetable Number on Plate

Carrots 1

Peas 13

Peppers 29

Green beans 31

a. 31:74 c. 31:13

b. 74:13 d. 13:31

____ 8. In Amalie's home town, the ratio of cars to people is 420 to 1000. What fraction shows this ratio in simplest

form?

a.

c.

b.

d.

____ 9. There are 12 white shirts, 8 blue shirts, and 6 red shirts on a rack. Which colors have a ratio of 3:4?

a. blue to white c. blue to red

b. red to white d. red to blue

____ 10. A rectangular yard is 10 feet long by 7 feet wide. What is the ratio of the width of the yard to the perimeter of

the yard?

a. 7 to 17

b. 7 to 34

c. 17 to 34

d. 34 to 7

11

18

12

1

1

12

11

12

____ 11. Use the table to answer the question.

Suppose Jawan works 6 days. Using the rule that relates the hours worked to the amount earned, find the total

number of hours he will work in 6 days and how much money he will earn in all.

a. 36 hours, $648

b. 36 hours, $324

c. 30 hours, $300

d. 30 hours, $270

____ 12. Nomi is making a pattern of square tiles, as shown below. The side lengths of the tiles are 2 centimeters.

Suppose Nomi continues the pattern. What will be the distance around Figure 7?

a. 14 centimeters

b. 49 centimeters

c. 56 centimeters

d. 98 centimeters

____ 13. Use the table to answer the question.

The table shows the number of tickets needed for rides at an amusement park.

Jared buys 40 tickets and goes on 7 rides. How many tickets does he have left after the 7 rides?

a. 33

b. 28

c. 24

d. 12

____ 14. A store charges $1.50 for a 20-oz bottle of sport drink. Which equation best represents the total cost, , as a

function of the number of bottles, ?

a. c.

b. d.

____ 15. The table below shows the balance of a savings account after weeks, where money is being withdrawn at a

constant rate. Peter can find the balance of the account based on how many weeks have passed. What are the

independent and dependent variables, and how do they change?

Time

(weeks),

Balance

(dollars),

0 850

1 800

2 750

3 700

a. As the independent variable increases by 1, the dependent variable increases by 50.

b. As the independent variable increases by 1, the dependent variable decreases by 50.

c. As the independent variable increases by 1, the dependent variable increases by 50.

d. As the independent variable increases by 1, the dependent variable decreases by 50.

____ 16. Graph the function described by the equation .

a.

c.

b.

d.

____ 17. A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour, how

many tablespoons of milk must the chef add?

a. 97 tablespoons c. 392 tablespoons

b. 1.13 tablespoons d. 72 tablespoons

____ 18. Earth is made up of several different elements. Suppose a certain element makes up 8% of Earth. Express 8%

as a decimal.

a. 0.08 c. 0.8

b. 12.5 d. 0.008

____ 19. Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles.

Indiana has a surface area that is approximately 6% of the surface area of Alaska. What is the approximate

surface area of Indiana?

a. 3,528,000 square miles c. 9,800 square miles

b. 35,280 square miles d. 98 square miles

1 2 3 4 5 6–1–2–3–4–5–6 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

1 2 3 4 5 6–1–2–3–4–5–6 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

1 2 3 4 5 6–1–2–3–4–5–6 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

1 2 3 4 5 6–1–2–3–4–5–6 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

____ 20. Write 3.37 as a percent.

a. 337% c. 33.7%

b. 3.37% d. 0.337%

____ 21. During the weekdays, Tom finished 84% of his weekly chores, and Kim completed of her weekly chores.

Who must finish a greater percent of chores during the weekend?

a. Kim b. Tom

____ 22. Frank’s Sports store has a 20% off sale on all of its merchandise. How much is the discount on a baseball

glove that originally costs $25?

a. $0.05 c. $20.00

b. $5.00 d. $30.00

____ 23. A DVD movie sells for $29 and the sales tax is 5.5%. What is the total cost of the movie to the nearest penny?

a. $30.60 c. $29.95

b. $27.40 d. $30.45

____ 24. A jar has 5 different colors of table tennis balls. After randomly selecting a table tennis ball, each person notes

the color and places the table tennis ball back into the jar. For which of the following situations would you

estimate the relative frequency to be greater than 0.3? Identify one or more choices that best complete the

statement or answer the question

a. Anita selects a red table tennis ball 2 times after 25 attempts.

b. Bob selects an orange table tennis ball 10 times after 30 attempts.

c. Chase selects a yellow table tennis ball 12 times after 60 attempts.

d. Darlene selects a green table tennis ball 6 times after 15 attempts.

e. Felix selects a blue table tennis ball 1 time after 20 attempts.

____ 25. Sheryl and Tess play basketball for the Tigers. The probability of Sheryl making a free throw is 0.25 and the

probability of Tess making a free throw is 0.32. Find the probability of Sheryl making a free throw and Tess

not making a free throw. Write your answer as a decimal.

____ 26. David is attending a university where the tuition for one year is $12,700. He has a $2,500 grant and His

parents will pay for 20% of the remaining costs. If he earns $240 a week, how many weeks does David need

to work to afford a year at the university?

____ 27. Patty has a checking account at a local bank. Checking is free. Nonbank ATM withdrawals cost $2. At the

beginning of the month, Patty’s checking account balance is $500. She withdraws $20 from a nonbank ATM.

She writes a check for $100. What is the balance in Patty’s checking account at the end of the month?

a) $572

b) $378

c) $170

d) $175

9

10

____ 28. The annual median income for an electrical engineer is $90,000. The annual median income for a civil en-

gineer is $82,000. Over 30 years, how much more than a civil engineer can an electrical engineer earn?

a) 240,000

b) 210,000

c) 270,000

d) 230,000

____ 29. Seth’s bank charges $12 a month to maintain a checking account and $0.75 for each check Seth writes. Last

month, Seth paid a total of $21.50 in checking account fees. Which equation can you use to find how many

checks Seth wrote?

a) .75x = 12

b) .75X = 33.5

c) 9.5 = .75x

d) 21.5 = .75x

____ 30. Which situation describes the use of a credit card?

a) Ali made a purchase and paid for it at the end of the month.

b) Ali sent a payment in the mail and the person receiving the payment deposited it into his checking

account.

c) After entering a PIN to complete a transaction, the amount was deducted from Ali’s account.

d) Ali deposited money into her savings account.

____ 31. The histogram shows the number of items sold at The Clothes Horse one week. What percent of items sold

cost between $40 and $79.99?

a. 35% c. 21%

b. 74% d. 50%

Freq

uen

cy

Price ($)

0–19 20–39 40–59 60–79 80–99

10

20

30

40

50

60

70

80

90

____ 32. The stem-and-leaf plot below shows the number of calendars students sold to raise money for the school

band. How many students sold more than 6 calendars?

Number of Calendars Sold

Key: 1 | 0 = 10

a. 11 b. 9 c. 10 d. 8

____ 33. The box-and-whisker plots show the distribution of test scores for two students for a semester. What

conclusion can you make about the data?

a. Overall, Sameer had better scores than Holly, and Sameer was more consistent in his

scores.

b. Overall, Sameer had better scores than Holly, and Holly was more consistent in her scores.

c. Overall, Holly had better scores than Sameer, and Sameer was more consistent in his

scores.

d. Overall, Holly had better scores than Sameer, and Holly was more consistent in her scores.

____ 34. Find the mode, median, mean, lower quartile, upper quartile, and interquartile range for the data set.

____ 35. The Washington Monument is about 185 yards tall. This height is almost equal to the length of two football

fields. About how many feet is this?

____ 36. A map of a new dog park shows that it is triangular and that the sides measure 18 yd, 37 yd, and 17 yd. Are the

dimensions possible? Explain your reasoning.

____ 37. Find the area of the shaded region.

____ 38. The Hudson Middle School wrestling team won the state tournament and was awarded a triangular pennant to

display in the school gymnasium. The pennant has an area of 2.25 square meters. The base of the pennant is

1.5 meters long. Write an equation to find the height of the pennant.

____ 39. Jana has an aquarium in the shape of a rectangular prism with a volume of 2,160 cubic inches. The length is 15

inches and the width is 12 inches. Find the height of the aquarium.

____ 40. Last year, Casey hit a total of 46 home runs. He hit 23 in the first half of the season and 5 more in postseason

play. Write an equation to find out how many home runs he hit during the second half of the season. Solve

the equation.

____ 41. A bookcase is 50 inches tall. Find the height of the bookcase in centimeters. The conversion factor is 2.54 cm

1 in.

____ 42. A rectangle has a length of 14 inches and a width of 9 inches. A second rectangle has a length of 42 inches. The

two rectangles are similar. What is the width of the second rectangle?

____ 43. A photograph of a painting has dimensions 5.4 cm and 4 cm. The scale factor is 1

15 . Find the length and width

of the actual painting.

____ 44. A composite figure is formed by a square and an isosceles right triangle. If the sides of the square and the legs

of the triangle are 9 centimeters long what is the area of the figure?

A 40.5 cm2 C 121.5 cm2

B 81 cm2 D 162 cm2

____ 45. Which of the following is NOT a measure of an angle in the figure below?

A

B

C

D

____ 46. -3 + (-25

6) – 3²

____ 47. 2

)2)(5()4(3

____ 48. Which expression has the same value as (-5)(-3) + (-8) - (-17)?

a) (-4)(6)

b) (-6)(4)

c) (-8)(3)

d) (-3)(-8)

____ 49. Over a 12-hour period from 8 P.M. to 8 A.M., the temperature fell at a steady rate from 8F to -16F. If the tem-

perature fell at the same rate every hour, what was the temperature at 4 A.M.?

B E

A

F

C D

(  + 2)°

2 °

(2 + 12)° 60°xx

x

____ 50. Joe wanted to find an integer closer to zero. Currently he is at -7. How many integers does Joe have to choose

from?

____ 51. On Monday, your bank balance was -$12.58. You wrote a check for $30.72. Your bank charges you a $25 fee

for insufficient funds. What is your bank account now?

____ 52. A submarine dives below the surface, heading downward in three moves. If each move downward was 325

feet, where is the submarine after it is finished diving?

____ 53. What is the quotient of 51

3 and -1

1

2?

____ 54. The running back for the Panther Bulldogs team carried the ball 9 times for a total loss of 153

4 yards. Find the

average change in field position on each run.

____ 55. Which of the following numbers is not equivalent to - 15

3 ?

A 15

3

C

15

3

B 15

3

D 5

____ 56. Identify the three-dimensional shape that can be formed from each net.

a. b. c.

____ 57. Miguel has an aquarium in the shape of a rectangular prism. The base is 30.25 inches long and 12.5 inches wide.

The aquarium is 12.75 inches high. What is the volume of the aquarium to the nearest cubic inch?

____ 58. Find the volume of the triangular prism.

____ 59. A square pyramid has edges of length p and a height of p as well. Which expression represents the volume of

the pyramid?

A. 1

3p² + p C.

1

3p + p

B. 1

3p³ D.

1

3p + p³

____ 60. A public swimming pool is in the shape of a rectangular prism. The pool is 20 meters long and 16 meters wide.

The pool is filled to a depth of 1.75 meters. A cubic meter of water has a mass of 1,000 kilograms. Find the

mass of the water in the pool.