Name:

Comprehensive System of Student Assessment

Standards Based Assessments

Alaska Department of Education & Early Development

Alaska

Spring 2012

8PTRWM

Grade 8Reading Writing Mathematics

Practice Test Book

You may use the Mathematics Reference Sheet any time during the test.

1. Sarina’s table is 2.1 meters long. How many centimeters long is Sarina’s table?

A 0.21 centimeter

B 21 centimeters

C 210 centimeters

D 2,100 centimeters

MATHEMATICS

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2. The weight, in ounces, of some packages at the post office are shown below.

4, 16, 3, 20, 5, 4, 18, 6, 15

Which box-and-whisker plot correctly represents this data set?

A Weight in Ounces

1 3 5 7 9 11 13 15 17 19 21 23

B Weight in Ounces

1 3 5 7 9 11 13 15 17 19 21 23

C Weight in Ounces

1 3 5 7 9 11 13 15 17 19 21 23

D Weight in Ounces

1 3 5 7 9 11 13 15 17 19 21 23

MATHEMATICS

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3. In Jimmy’s class, 15 of the students are wearing glasses. What is 1

5 written as a

decimal?

A 0.15

B 0.20

C 1.50

D 5.00

4. Evan and Vanessa grow vegetables in their gardens. Evan has 6 more than half thenumber of rows in Vanessa’s garden. Evan’s garden has 8 rows. How many rows arein Vanessa’s garden?

A 1

B 4

C 7

D 10

5. Marcia saw a coat that originally cost $40. She bought it on sale for 15% off theoriginal price. How much did Marcia pay for the coat?

A $ 6

B $25

C $34

D $46

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6. Anna has $12.00 and saves $4.00 each week. The equation below represents howmuch money she will have saved, s, after w weeks.

s = 4w + 12

Which is the correct graph for this equation?

A B

Weeks

Anna’s Savings

Savi

ngs

0 1 2 3 4 5 6 7

45

40

35

30

25

20

15

10

5

0

Weeks

Savi

ngs

0 1 2 3 4 5 6 7

45

40

35

30

25

20

15

10

5

0

Anna’s Savings

C D

Weeks

Savi

ngs

0 1 2 3 4 5 6 7

45

40

35

30

25

20

15

10

5

0

Anna’s Savings

Weeks

Savi

ngs

0 1 2 3 4 5 6 7

45

40

35

30

25

20

15

10

5

0

Anna’s Savings

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7. The table below shows the hourly pay for the employees of Riverview CommunityBank.

Pay SchedulePosition Hourly PayPresident $185.00Secretary $ 21.00Clerk #1 $ 14.25Clerk #2 $ 9.75Clerk #3 $ 8.25Clerk #4 $ 8.25

Which statistic is most representative of the hourly pay of the employees?

A mean

B median

C mode

D range

8. Peter is traveling 3.5 kilometers to Sophie’s house. How many meters does Peterhave to travel?

A 0.0035

B 0.035

C 350

D 3,500

MATHEMATICS

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9. Pat cleans windows during the summer. He charges $50 per house and an additional$5 per window. Which expression represents how much Pat would charge to cleanx windows at 1 house?

A 50x + 5

B 55 + x

C 50 + 5x

D 50 – x5

10. A scale drawing of a room is 8 centimeters wide and 12 centimeters long. The actualwidth of the room is 4 meters. What is the actual length of the room?

A 6 meters

B 16 meters

C 24 meters

D 32 meters

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11. Bob designed a computer program so that when a number is entered into theprogram (input), the computer will generate a new number (output). The chartbelow shows the input and output of the first four numbers Bob entered.

Input (x) Output (y)1234

1357

What number will the computer generate when Bob enters the number 40?

A 77

B 78

C 79

D 80

12. Mia’s basketball team won 80% of its games. What fraction of their games didthey win?

A 15

B 25

C 35

D 45

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13. There are 20 teachers and 705 students in Corey’s school. What is the ratio ofteachers to students?

A 4141

B 1414

C 5141

D 1415

14. Hanna, Alisa, Margie, and Pam are sisters who use the spinners below to assignweekly chores.

take outthe garbage

sweepthe floor

do thelaundry

wash thedishes

Hanna Alisa

Pam Margie

They spin each spinner once. What is the probability that the arrows land on�Margie� and �sweep the floor�?

A 116

B 18

C 14

D 12

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15. The table below shows the cost per bag of different brands of dog food.

Dog Food

Brand Cost per Bag

Atta Boys $23.47

Canine Cool $24.58

Mushies $25.42

Power Pups $25.68

Yum-Yums $33.12

A bag of Yum-Yums dog food costs exactly $8.54 more than which brand?

A Atta Boys

B Canine Cool

C Mushies

D Power Pups

Turn to page 24 in your answer booklet to complete question 16.

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17. Frank wrote the first 5 numbers of the pattern shown below.

11, 15, 19, 23, 27

What is the twentieth number in the pattern?

A 31

B 47

C 87

D 108

18. Which shows 5,032 in expanded notation?

A (5 × 103) + (3 × 101) + (2 × 100)

B (5 × 103) + (3 × 102) + (2 × 101)

C (5 × 104) + (3 × 102) + (2 × 101)

D (5 × 104) + (3 × 101) + (2 × 100)

19. Jason made 3 quarts of corn chowder. He divided it into serving sizes of 121 cups

each. How many 121 -cup servings can be made from 3 quarts of chowder?

A 124 servings

B 8 servings

C 12 servings

D 18 servings

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20. A rectangle is shown below.

x

y

C (–2, –2)D (–4, –2)

A (–4, 2) B (–2, 2)

The rectangle is rotated 180° about the origin. What are the new coordinates ofpoint D?

A (2, –2)

B (4, 2)

C (4, –2)

D (2, 2)

21. A circular rug has a radius of 3 feet. What is the area of the rug? (Use 3.14 for π.)

A 6.14 square feet

B 9.42 square feet

C 18.84 square feet

D 28.26 square feet

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22. A fishing boat is 36 feet long. How many yards long is the boat?

A 3

B 12

C 108

D 432

23. Kelsey is making a drum in the shape of a hexagonal prism. Which net shouldKelsey use to fold into her drum?

A B

C D

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24. A book on aviation has two pictures of the same airplane. The pictures are similarin shape and size.

Airplanes

6 in.

5 in.

1.5 in.

1.25 in.

What is the scale from the larger picture to the smaller picture?

A 1 : 0.25

B 1 : 0.3

C 1 : 1.2

D 1 : 4.0

25. Matthew cleaned the garage in 2.5 hours. He was paid x dollars per hour. He thenspent $3 and had $12 remaining. The following equation represents this situation.

2.5x − 3 = 12

How much was he paid per hour?

A $ 3.60

B $ 4.80

C $ 6.00

D $12.50

MATHEMATICS

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26. The low temperatures in January of five Alaskan cities are shown in the table below.

January Low Temperatures

CityTemperature

(°F)

Barrow 20

Dillingham 9

Galena 16

Kuparuk 24

Skagway 18

What is the difference between the warmest and coldest temperatures?

A 6°F

B 6°F

C 15°F

D 42°F

27. Gina needs 112 gallons of milk to make soup at her restaurant. She only has 1 quart

of milk. What is the least amount of milk she needs to purchase so she can make

the soup?

A 1 pint

B 5 quarts

C 6 quarts

D 12 pints

MATHEMATICS

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28. Harry made 4 tables to show the results of flipping a penny, a nickel, a dime, anda quarter.

Heads-up

4

Tails-up

2

Penny

Heads-up

1

Tails-up

5

Nickel

Heads-up

2

Tails-up

4

Dime

Heads-up

3

Tails-up

3

Quarter

For which coin does the theoretical probability of a coin landing heads-up matchHarry’s experimental results?

A penny

B nickel

C dime

D quarter

29. The cost of a fishing license increased by 15% from last year to this year. Whichis equivalent to 15%?

A 0.015

B 0.15

C 15

D 1,500

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30. What is the prime factorization of 400?

A 5 × 23

B 5 × 24

C 52 × 23

D 52 × 24

31. The graph below shows how much Connor earns each week.

Week

Connor’s Earnings

Tota

l Dol

lars

Ear

ned

50454035302520151050

1 2 3 4 5

The pattern continues. How much will Connor have earned after his eleventh week?

A $ 60

B $165

C $180

D $330

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32. The values in the table below were generated using a rule.

x y

0 23

1 30

2 37

3 44

4 51

5 58

Which rule could have been used to generate the values in the table?

A y = 7x + 23

B y = 23x

C y = x + 23

D y = 7 + 23x

33. There were 3 school districts in an academic competition. Each district had3 teams competing. Each team had 11 members. Each team member had toanswer 11 questions. The total number of questions answered in the competitionwas 3 • 3 • 11 • 11. How can this expression be written using exponents?

A 33 • 1111

B 32 • 112

C 61 • 221

D 142

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34. Which shows the numbers 3, 135 , and 4 in order from least to greatest?

A 4 , 135 , 3

B 4 , 3, 135

C 3, 135 , 4

D 135 , 3, 4

35. Ada charges a flat rate of $75 for staining a deck plus an additional $6 for eachhour she works. Which expression below best describes the total amount ofmoney Ada charges for staining a deck in x hours?

A 75 + 6x

B 75 × 6x

C 75x + 6

D 81x

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36. The table below shows the relationship between the weight and cost of bulk candy.

Weight(pounds)

Cost (dollars)

1 4

3 12

5 20

7 28

Bulk Candy Cost

Which graph shows the relationship between the weight and cost of bulk candy?

A

x

y

30 25 20 15 10 5 0 1 2 3 4 5 6 7 8

Bulk Candy Cost

Weight (pounds)

Cos

t (do

llars

)

B

x

y

30 25 20 15 10 5

0 1 2 3 4 5 6 7 8

Bulk Candy Cost

Weight (pounds)

Cos

t (do

llars

)

C

x

y

30 25 20 15 10 5 0 1 2 3 4 5 6 7 8

Bulk Candy Cost

Weight (pounds)

Cos

t (do

llars

)

D

x

y

30 25 20 15 10 5

0 1 2 3 4 5 6 7 8

Bulk Candy Cost

Weight (pounds)

Cos

t (do

llars

)

MATHEMATICS

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37. Miguel has a painting that is 4 inches wide by 24 inches long. He made anenlarged copy of it. The enlarged copy is 12 inches wide. What is the length ofthe enlarged copy?

A 8 inches

B 36 inches

C 48 inches

D 72 inches

38. What is the first step to simplifying the expression 10 − 1.06(2 + 1.35)?

A 10 − 1.06

B 1.06 × 2

C 1.06 × 1.35

D 2 + 1.35

39. Jackie’s old fish tank is 20 inches long, 12 inches wide, and 15 inches high. Hernew fish tank is 30 inches long, 12 inches wide, and 15 inches high. Whichstatement correctly compares the volumes of the two fish tanks?

A The volume of the new fish tank is 1.5 times smaller than the volume of theold fish tank.

B The volume of the new fish tank is 10 cubic inches less than the volume ofthe old fish tank.

C The volume of the new fish tank is 1.5 times greater than the volume of theold fish tank.

D The volume of the new fish tank is 10 cubic inches greater than the volumeof the old fish tank.

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40. A cylindrical bird feeder is shown below.

Bird Feeder

What is the shape of each base?

A circle

B oval

C rectangle

D triangle

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41. The figure below shows a triangular prism that Tasha is using for a scienceexperiment.

Tasha’s Prism

5 cm

6 cm

12 cm

What is the volume of Tasha’s prism?

A 180 cm3

B 242 cm3

C 324 cm3

D 360 cm3

MATHEMATICS

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42. The graph below shows quiz scores for Ms. Bryant’s classes.

1

Quiz Scores

Score

Freq

uenc

y12

10

8

6

4

2

02 3 4 5 6 7 8 9 10 11 12

Which observation about this data is true?

A The lowest score on the quiz was a 4.

B There were 8 students who scored an 11.

C There were 9 students who took the quiz.

D There were 18 students who scored a 7 or an 8.

Turn to page 26 in your answer booklet to complete question 43.

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44. Leonard finished 60% of his homework yesterday. Today he finished 50% of whatwas left. What percent of his homework has Leonard finished?

A 10%

B 20%

C 30%

D 80%

45. Kelly ran 3 miles fewer than twice as far as Jim. Jim ran m miles. Whichexpression represents how far Kelly ran?

A 3 − 2m

B 2m − 3

C 3m − 2

D 2(m − 3)

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46. Josh wants to fold the net shown below to make a 3-dimensional object.

Which object will be represented by the folded net?

A triangular prism

B triangular pyramid

C square pyramid

D rectangular prism

47. Kristina bought $24 worth of groceries and paid with $40 cash. She received $16in change. Which expression below can Kristina use to check that she receivedthe correct amount of change?

A $16 + $40

B $16 + $24

C $40 + $24

D $20 + $16

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48. What is the circumference of a circle with a radius of 11 cm?

A 11π cm

B 22π cm

C 44π cm

D 121π cm

49. A hot air balloon lifted off from an elevation of 425 feet above sea level. Theballoon rose at a constant rate of 55 feet per minute. Which expression representsthe elevation above sea level of the hot air balloon after t minutes?

A 55t + 425

B 55t

C 480t

D 425t + 55

50. Justin’s lunch cost $12.00. He added a 15% tip to the price of the lunch. Howmuch did Justin pay for his lunch and tip?

A $12.15

B $13.50

C $13.80

D $18.00

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51. A piece of cheese is in the shape of a triangular prism. The dimensions of thecheese are shown below.

Cheese

5 in.

6 in.0.5 in.

5 in.4 in.

What is the surface area of the piece of cheese?

A 14.5 square inches

B 20.5 square inches

C 29 square inches

D 32 square inches

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52. The graph below shows the number of bushels of soybeans a farmer harvested fromhis field.

Number of Acres Harvested

Soybean Harvest

Bus

hels

of S

oybe

ans

350

300

250

200

150

100

50

00

2 4 6 8 10 12

y

x

Which set of ordered pairs could have been used to make the graph?

A (3, 125), (4, 200), (5, 225)

B (50, 1), (200, 4), (300, 6)

C (100, 2), (250, 5), (350, 7)

D (2, 100), (3, 150), (5, 250)

MATHEMATICS

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53. A group of 30 basketball players each attempted 25 free throws. The number ofsuccessful attempts is shown in the histogram below.

Number of Free Throws Made

Free Throws Made

Num

ber

of

Bas

ketb

all P

laye

rs 14121086420

0-5 6-10 11-15 16-20 21-25

How many basketball players made between 0 to 10 free throws?

A 5

B 10

C 15

D 30

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54. Sally built a storage box for a customer. The box was 30 inches long,10 inches wide, and 20 inches high. The volume of the box was 6,000 cubicinches. Another customer wanted a box with the same width and height but avolume of 8,000 cubic inches. How must Sally change the length in order tomake this box?

A increase it by 10 inches

B increase it by 20 inches

C increase it by 30 inches

D increase it by 40 inches

55. Molly is playing a game with a friend. Each player rolls 2 six-sided number cubes,numbered from 1 to 6, and finds the sum of the numbers. Molly will win the gameif she rolls a sum greater than 8. What is the probability that Molly will roll a sumgreater than 8?

A 19

B 518

C 27

D 1136

MATHEMATICS

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56. The coordinates in the table below were found using a linear equation.

x y

1 5

2 8

3 11

Which linear equation could be used to find the coordinates in the table?

A y = 2x + 3

B y = 2x – 3

C y = 3x + 2

D y = 3x – 2

MATHEMATICS

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57. The graph below shows the population of 4 cities.

0

200

400

600

800

1,600

1,000

1,200

1,400

City Populations in 2005 and 2010

City

Key20052010

Alta Burke Camden Delta

Popu

latio

n

Using the graph above, which city had the greatest population change from 2005to 2010?

A Alta

B Burke

C Camden

D Delta

MATHEMATICS

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58. Kerry’s computer keyboard is 18 inches long and 6 inches wide. Tim’s keyboardhas the same length-to-width ratio as Kerry’s. Tim’s keyboard is 12 inches long.How wide is Tim’s keyboard?

A 4 inches

B 9 inches

C 15 inches

D 36 inches

Turn to page 28 in your answer booklet to complete question 59.

END SESSION

MATHEMATICS

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