grade 8 mathematics practice test

Grade 8 Mathematics Practice Test

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http://www.louisianaschools.net/offices/publicaffairs/ask.aspx This public document was published at a cost of $6,000.00. This Web-only document was published for the Louisiana Department of Education, Office of Standards, Assessments, and Accountability, Division of Assessments and Accountability, P.O. Box 94064, Baton Rouge, LA 70804-9064, by Data Recognition Corporation, 13490 Bass Lake Road, Maple Grove, MN 55311. This material was printed in accordance with the standards for printing by State Agencies established pursuant to R.S. 43:31.

© 2012 by Louisiana Department of Education

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Test Administrator Instructions

When printing the PDF files for the three Math Sessions, be sure to set the Page Scaling drop-down menu on the Print screen to None, No Scaling, or Actual Size depending on the printer you are using. Otherwise measurement items may not be the correct size, which may impact student responses.

�

�

�

�

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This document contains a Practice Test that shows what each part, or session, of an actual grade 8 transitional math assessment is like.

The Practice Test may be used at home or at school for students to become familiar with the LEAP test they will take in spring 2013. It can help students feel more relaxed when they take the actual test.

The LEAP Assessment Guides provide information on the overall design of the actual test, as well as sample test items and suggested informational resources. The Assessment Guides for each grade can be found on the Louisiana Department of Education’s website.

The mathematics test has three sessions to be taken separately:

� Session 1 (pages 3 to 19) includes 30 multiple-choice questions—a calculator may not be used.

� Session 2 (pages 21 to 39) includes 30 multiple-choice questions—a calculator may be used.

� Session 3 (pages 41 to 45) includes 4 constructed-response questions—a calculator may be used.

A Mathematics Reference Sheet, which students may use for all sessions, is located on page 48.

Students respond to multiple-choice items using the Answer Sheets on pages 46 and 47 and constructed-response items using pages 41 to 45 of Session 3.

The Answer Keys and Scoring Rubrics, used to score student responses, are located on pages 49 to 54.

http://www.doe.state.la.us/topics/assessment_guides.html

LEAP Practice Test—Grade 8 Mathematics

Mathematics Grade 8 Page 1

Mathematics—Sessions 1, 2, and 3GENERAL INSTRUCTIONS

The Mathematics test has three sessions, two with multiple-choice questions and one with constructed-response questions. You may not use a calculator for session 1, but you may use a calculator for sessions 2 and 3.


Write your answers for questions 1 through 30 in the spaces provided on page46, session 1 answer sheet. Write only one answer for each question. You maywork problems in your test booklet or on scratch paper, but you must mark youranswer on your answer sheet. You may review your work in this session but donot work on any other session.

You may NOT use a calculator for this session.

1. John paid a $20 fee for a booth at an art fair so he could sell his ceramic bowls. He will earn$10 for every ceramic bowl he sells. The equation y = 10x – 20 represents the amount ofmoney, y, that John will earn selling x ceramic bowls at the art fair. Which graph representsthe amount of money John could earn at the art fair?

A.

40

30

20

10

0-10

-20

-30

-40

43 6521

y

x

Ceramic Bowls Sold

Mon

ey E

arne

d ($

)

Art Fair Earnings

B.

40

30

20

10

0-10

-20

-30

-40

43 6521

y

x

Ceramic Bowls Sold

Mon

ey E

arne

d ($

)Art Fair Earnings

C.

40

30

20

10

0-10

-20

-30

-40

43 6521

y

x

Ceramic Bowls Sold

Mon

ey E

arne

d ($

)

Art Fair Earnings

D.

40

30

20

10

0-10

-20

-30

-40

43 6521

y

x

Ceramic Bowls Sold

Mon

ey E

arne

d ($

)

Art Fair Earnings

Session 1—Mathematics (No Calculator)

Mathematics Grade 8 Page 3 GO ON TO THE NEXT PAGE �

2. Tracy has $35 to buy comic books and to pay for a movie ticket. Each comic book costs $3.The movie ticket costs $10. Which inequality can be used to determine how many comicbooks, b, Tracy can buy?

A. 35 – 3b ≤ 10

B. 35 – 3b ≥ 10

C. 35 – 10b ≤ 3

D. 35 – 10b ≥ 3

3. Which figure has no lines of symmetry?

A. B.

C. D.



4. Maggie learned that the airplane she flew on was made up of 6,000,000 parts. What is thenumber of parts written in scientific notation?

A. 6.05 parts

B. 6.06 parts

C. 6.0 × 105 parts

D. 6.0 × 106 parts

5. Megan uses 23 cup of sunflower seeds to make 4 cups of trail mix. Using this same

proportion, how many cups of sunflower seeds would Megan need to make 9 cups oftrail mix?

A. 121 cups

B. 7121 cups

C. 11122 cups

D. 383 cups



6. The equation y = –5x + 30 represents the number of newspapers, y, remaining at aconvenience store x hours after it has opened for the day. Which table represents thenumber of newspapers remaining after each of the first 4 hours the store is open?

A.

Newspapers atConvenience Store

Hours(x)

NewspapersRemaining (y)

1234

5101520

B.


Hours(x)


1234

25201510

C.


Hours(x)


1234

25303540

D.


Hours(x)


1234

30252015



7. An electronics store is having a sale on a certain model of laptop computer. The graph showsthe number of laptops remaining, y, after x days of the sale.

86420

18

16

14

12

10

8

6

4

2

x

y

Day of Sale

Lapt

ops

Rem

aini

ng

Laptop Computer Sale

Which equation shows the relationship between the number of laptops remaining, y,and the day of the sale, x?

A. y = –3x + 18

B. y = 3x + 18

C. y = –6x + 18

D. y = 6x + 18

8. Jason bought 6 crates of oranges. Each crate contained 6 bags of oranges, and each bagcontained 6 oranges. Which expression is equal to the number of oranges Jason bought?

A. 6 × 3

B. 6 × 6

C. 63

D. 36



9. Which coordinate grid shows a graph of the equation y = 4x – 3?

A. x

y

4

3

2

1

-1

-2

-3

-4

-4 -3 -2 -1 4321 B.

y

x

4

3

2

1

-1

-2

-3

-4

-4 -3 -2 -1 4321

C.

y

x

4

3

2

1

-1

-2

-3

-4

-4 -3 -2 -1 4321D.

y

x

4

3

2

1

-1

-2

-3

-4

-4 -3 -2 -1 4321

10. Donna rode her bike for three miles. She traveled 18 miles per hour the first mile, 15 miles perhour the second mile, and 21 miles per hour the third mile. Which conditions most likelydescribe Donna’s bike ride?

A. Uphill for one mile, no hill for one mile, downhill for one mile

B. Downhill for one mile, no hill for one mile, uphill for one mile

C. Downhill for one mile, uphill for one mile, no hill for one mile

D. No hill for one mile, uphill for one mile, downhill for one mile



11. In a high school band, 35 of the members are female. Also, 15

28 of the members play brassinstruments. Adam wants to compare these fractions using the expression shown.

35

1528

Which symbol could Adam place in the to make his comparison true?

A. <

B. –

C. =

D. >

12. The scatter plot shows the relationship between the length of time it takes to playMick’s favorite board game and the number of people playing the game.

43210

8070605040302010

5 6 7 8 x

y

Number of Players

Leng

th o

f Gam

e(in

min

utes

)

Length of Time to Play Game

Based on the scatter plot, through which two points should a trend line be drawn?

A. (2, 15) and (5, 40)

B. (2, 23) and (6, 50)

C. (3, 16) and (4, 35)

D. (3, 24) and (5, 30)



13. Paula currently has x pencils. She determines that buying 8 more pencils will give her thesame number of pencils as if she bought 2 more and then doubled the amount of pencils shehas. The equation shown represents this situation.

x + 8 = 2(x + 2)

How many pencils does Paula currently have?

A. 2 pencils

B. 4 pencils

C. 6 pencils

D. 14 pencils

14. The United States exported 34,439,000 metric tons of wheat over an entire year. What is thisnumber of metric tons of wheat written in scientific notation?

A. 3.4439 × 104

B. 3.4439 × 105

C. 3.4439 × 106

D. 3.4439 × 107



15. Janet graphed a triangle on the coordinate grid shown.

y

x-1-2-3-4-5

54321

54321

-1-3-4-5 -2

Janet rotated the triangle 90° clockwise to create a new figure. Which coordinate grid showsthe new figure?

A.

y

x-1-2-3-4-5

54321

54321

-1-2-3-4-5 B.

y

x-1-2-3-4-5

54321

54321

-1-2-3-4-5

C.

y

x-1-2-3-4-5

54321

54321

-1-2-3-4-5D.

y

x-1-2-3-4-5

54321

54321

-1-2-3-4-5



16. A theater shows a movie 20 times in 5 days. It shows the movie the same number of timeseach day. Which proportion can be used to find the number of times the movie is shown,m, in 30 days?

A. m + 530

520=

B. m30=20

5

C. 20m=30

5

D. m5=20

30

17. A cube with a side length of s units has a volume of s3 cubic units. What is the difference, incubic units, between the volume of a cube with a side length of 4 units and the volumeof a cube with a side length of 1 unit?

A. 9 cubic units

B. 27 cubic units

C. 61 cubic units

D. 63 cubic units

18. Angles X and Y are adjacent, acute angles. Which term could also describe a relationshipbetween angles X and Y?

A. complementary angles

B. corresponding angles

C. supplementary angles

D. vertical angles



19. Billy spent 1 hour packing his car to go to the beach. He drove no faster than 45 miles per hourto get to the beach. The inequality y ≤ 45(x – 1) describes the distance in miles, y, that Billyhas driven in x hours since he started packing his car. Which graph shows the number ofmiles Billy could have driven, y, after x hours?

A.

y

x

150120

906030

0 1 2 3 4 5

Miles Driven by Billy

Hours

Mile

s

B.

y

x

150120

906030

0 1 2 3 4 5


Hours

Mile

s

C.

y

x

150120

906030

0 1 2 3 4 5


Hours

Mile

s

D.

y

x

150120

906030

0 1 2 3 4 5


Hours

Mile

s



20. Use the number line to answer the question below.

0 189

p

The number line shows the locations of the values 89 , p, and 1. Which value could p

represent?

A. 1730

B. 1618

C. 1920

D. 98

21. Which table shows points that are all on the line y = 8 – 3x?

A.

x–1

012

y–5

05

10

B.

x–7–4

214

y542

–2

C.

x–4–2

15

y136

10

D.

x–1

135

y115

–1–7



22. The cost of Allison’s new computer was $400. The value of the computer decreases by 25%each year. Which expression shows the value of Allison’s computer after t years?

A. 400(0.25)t

B. 400(0.75)t

C. 400 – 25t

D. 400 – 75t

23. The eighth-grade class at Hillside Middle School had two groups of people going on a field trip.The first group went in 4 large vans. Each large van had 4 rows of seats, and 4 people sat ineach row. The second group went in 3 small vans. Each of the small vans had 3 rows of seats,and 3 people sat in each row. Which expression shows how many more people were in thefirst group than were in the second group?

A. 34 – 33

B. 34 – 43

C. 43 – 33

D. (4 – 3)3

24. Which number line shows the solution to the inequality 5(x – 1) ≤ 2x + 7?

A.0 1 2 3 4 5

B.0 1 2 3 4 5

C.0 1 2 3 4 5

D.0 1 2 3 4 5



25. The water level in Jeremy’s aquarium decreases each day due to evaporation. The tableshows the depth of the water level, y, in the aquarium after x days.

Water Level in Aquarium

Day (x) Water Level in Inches (y)

0 11.5

4 11.0

8 10.5

12 10.0

16 9.5

20 9.0

Which graph correctly displays the information about the water level in the aquarium?

A.

y

x

1210

8642

0 4 8 12 16 20

Water Level in Aquarium

Day

Wat

er L

evel

(inc

hes)

B.

Water Level in Aquariumy

x

1210

8642

0 4 8 12 16 20Day

Wat

er L

evel

(inc

hes)

C.


x

1210

8642

0 4 8 12 16 20Day

Wat

er L

evel

(inc

hes)

D.


x

1210

8642

0 4 8 12 16 20Day

Wat

er L

evel

(inc

hes)



26. The surface area of the Pacific Ocean is 1.6525 × 108 square kilometers (km2). What is thesurface area of the Pacific Ocean written in standard notation?

A. 1,652,500 km2

B. 16,525,000 km2

C. 165,250,000 km2

D. 1,652,500,000 km2

27. Curt jogged on a path that was 2 miles long, took a break, and then jogged back along thesame path to where he started. He jogged at different speeds for different distances along thepath as shown in the graph.

Curt’s Jogging Time and Distance

Dis

tanc

e fr

om S

tart

ing

Poin

t (m

iles)

100

0

1

2

20 30

Time (minutes)

40 50 60

Between which times did Curt jog the fastest?

A. 0 minutes and 10 minutes

B. 10 minutes and 25 minutes

C. 25 minutes and 30 minutes

D. 30 minutes and 60 minutes



28. Becky graphed the line shown on the grid.

5

4

3

2

1

-1-2-3-4-5

-4-5 -3 --2 -1 4 5321

y

x

Which equation represents the line Becky graphed?

A. y = –14x – 1

B. y = 14x – 1

C. y = –4x – 1

D. y = 4x – 1



29. In Jackie’s coin collection, 15 of the coins are pennies, 11

40 of the coins are nickels, and 14 of the

coins are dimes. Which list correctly compares these portions of Jackie’s coincollection?

A. 14 < 1

5 < 1140

B. 15 < 1

4 < 1140

C. 15 < 11

40 < 14

D. 1140 < 1

5 < 14

30. Kerry planted a seed and measured the height of the plant, in centimeters, for five days after itsprouted. She created the graph shown to display this data.

y

x

25201510

5

0 1 2 3 4 5Day SinceSprouting

Hei

ght (

cm)

Height of Kerry’s Plant

Which is the best estimate for the height of the plant on Day 6?

A. 15 cm

B. 18 cm

C. 20 cm

D. 30 cm


Mathematics Grade 8 Page 19STOP

Write your answers for questions 31 through 60 in the spaces provided onpage 47, session 2 answer sheet. Write only one answer for each question.You may work problems in your test booklet or on scratch paper, but you mustmark your answer on your answer sheet. You may review your work in thissession but do not work on any other session.

You MAY use a calculator for this session.

31. A weather station recorded the depth of water in a rain gauge during an 8-hour time frame inthe graph shown.

y

x

7654321

0 1 2 3 4 5 6 7 8Time (hours)

Dep

th (i

nche

s)

Depth of Water in Rain Gauge

Between which hours was the rate of change for the depth of water greater than the rateof change between hours 0 and 1?

A. Between hours 1 and 4

B. Between hours 4 and 5

C. Between hours 5 and 6

D. Between hours 7 and 8

Session 2—Mathematics (Calculator)


32. During 8 basketball games, Marianne scored a total of x points, and Sarah scored a total ofy points. Marianne scored more points than Sarah did. Which expression represents thedifference between the average number of points Marianne and Sarah each scored pergame?

A. x – y8

B. x + y8

C. 8(x – y)

D. 8(x + y)

33. Caleb has a piece of rectangular paper that is 12 inches wide by 16 inches long. He drew astraight line along the diagonal of the paper. What is the length of the line Caleb drew?

A. 28 inches

B. 112 inches

C. 20 inches

D. 28 inches

34. A roll of 40 quarters weighs 8 ounces. Which proportion can be used to find the weight inounces, w, of 200 quarters?

A. 200w

408 =

B. 8200

40w =

C. 40200

w8=

D. =408 + w

w200



35. Zane graphed a parallelogram on the coordinate grid shown.

y

x

141210

8642

0 2 4 6 8 10 12 14

ABC

D

Zane then translated the parallelogram up 5 units. Which coordinate grid shows the figureafter the translation?

A.

y

x

141210

8642

0 2 4 6 8 10 12 14

ABC

DB.

y

x

141210

8642

0 2 4 6 8 10 12 14

ABC

D

C.

y

x

141210

8642

0 2 4 6 8 10 12 14

ABC

DD.

y

x

141210

8642

0 2 4 6 8 10 12 14

ABC

D



36. A taxi company charges an initial fee of $2.60, plus an additional charge per mile. Ramonarides in a taxi for 5 miles, and the total charge is $16.60. What is the charge per mile for thetaxi ride?

A. $0.52

B. $1.40

C. $2.80

D. $3.32

37. A group of students is planning a camping trip. The number of students allowed to go dependson the number of guides who are able to accompany them on the camping trip. The tableshows the number of guides needed to accompany different numbers of students.

Guides Needed for Camping Trip

Number ofGuides

Number ofStudents

3 9

4 18

5 27

6 36

Which statement describes a rule that can be used to find the number of studentsallowed to go on the camping trip for any number of guides?

A. Add 9 to the previous Number of Students entry

B. Multiply 2 by the previous Number of Students entry

C. Multiply 6 by the previous Number of Guides entry

D. Square the number in the Number of Guides column



38. To rent an apartment, Dominic will pay a one-time security deposit of $400. He will also pay$550 each month for rent. The graph below models this situation.

y

x

7,0006,0005,0004,0003,0002,0001,000

0 1 2 3 4 5 6 7 8 9 10 11 12Month

Tota

l Pric

e ($

)

Total Amount Paid to Rent Apartment

Which table correctly models the graph?

A.

Total Amount Paidto Rent Apartment

Month Total Price ($)2468

1012

2,0003,0004,0005,0006,0007,000

B.



1012

1,5002,6003,7004,8005,9007,000

C.



1012

1,5002,6004,0005,2506,5007,750

D.



1012

1,5002,5003,5004,5005,5006,500



39. Trent’s family has 28 pears and will eat 4 per day. Which equation can be used to find thenumber of days (x) until there are exactly 8 pears remaining?

A. –28x + 4 = 8

B. –4x + 28 = 8

C. 4x + 28 = 8

D. 28x – 4 = 8

40. What is the solution to the equation 6(x + 4) = 3x + 18?

A. x = –2

B. x = –23

C. x = 143

D. x = 14



41. Trevor is making soup in a cylindrical cooking pot. It has a diameter of 10 inches and a heightof 8 inches.

Trevor’s Cooking Pot

10 in.

8 in.

What is the approximate volume of the cooking pot? (Use 3.14 for π.)

A. 251 cubic inches

B. 502 cubic inches

C. 628 cubic inches

D. 2,512 cubic inches

42. Angles F and G are complementary angles. Angles G and H are supplementary angles. Thedegree measure of each angle is a whole number. What is the smallest possible measureof angle H?

A. 1°

B. 89°

C. 91°

D. 179°



43. Use the picture to answer the question below.

Toy Car Speed

race trackstart

The picture shows the beginning of a racetrack for a toy car. Which graph models theestimated speed of the toy car as it moves through the racetrack?

A.

Toy Car Speed

Time

Spee

d

B.

Toy Car Speed

Time

Spee

d

C.

Toy Car Speed

Time

Spee

d

D.

Toy Car Speed

Time

Spee

d



44. Chris was on page 4 in his book when he left class. He read the same number of pages eachnight. The page numbers Chris stopped on each night are in the list below.

23, 42, 61, 80

Which statement describes the pattern of growth for the page numbers Chris stoppedon each night?

A. The pattern is linear because the numbers alternate from odd to even.

B. The pattern is exponential because the numbers alternate from odd to even.

C. The pattern is linear because the next number is found by adding 19 to the previous number.

D. The pattern is exponential because the next number is found by adding 19 to the previousnumber.

45. Carlos paid $28.14 for 6 gallons of milk. What was the price per gallon of milk?

A. $4.69

B. $6.02

C. $22.14

D. $168.84



46. Use the figure to answer the question below.

y

x

4

3

2

1

0 1 2 3 4

R

Q

P30°

2 un

its

2 un

itsA dilation of angle PQR will make the length of line segment Q'R' equal to 6 units. What is themeasure of angle P'Q'R' after the dilation?

A. 10°

B. 30°

C. 60°

D. 90°

47. Samantha is painting the outside of a box that is in the shape of a rectangular prism. Its lengthis 18 centimeters, its width is 6 centimeters, and its height is 3 centimeters. What is thesurface area of the box in square centimeters (cm2)?

A. 162 cm2

B. 180 cm2

C. 324 cm2

D. 360 cm2



48. Marc read 9 books over the summer. He recorded the number of pages he read and thenumber of hours he spent reading each book. This information and a line of best fit are shownin the scatter plot.

y

x

16141210

8642

0 200 300 400 500 600

Books Marc Read

Pages

Hou

rs S

pent

Rea

ding

Based on the scatter plot, which statement about the time Marc spent reading wouldmost likely be true?

A. Marc read at a rate of about 50 pages per hour.

B. Marc read at a rate of about 75 pages per hour.

C. It would take Marc about 2 hours to read a 150-page book.

D. It would take Marc about 12 hours to read a 470-page book.



49. The students in Mrs. Pryor’s math class worked on 15 problems during one class. Starting thatday they were assigned 10 more problems each day for 5 days. The total number of problemsto complete, y, by the end of x days can be determined by the equation below.

y = 10x + 15

Which table shows the total number of problems the students were to complete by theend of each day?

A.

Mrs. Pryor’s Math Class

Day (x)Total Number

of Problems toComplete (y)

12345

1025405570

B.


Day (x)Total Number


12345

1525354555

C.


Day (x)Total Number


12345

2535455565

D.


Day (x)Total Number


12345

2540557085



50. The table below shows the number of hours Jenny has worked at her new job after a certainnumber of weeks.

Jenny’s Work Hours

Number ofWeeks

Total HoursWorked

1 5

2 20

3 35

4 50

5 65

6 80

Which statement best describes the relationship between the number of weeks and thetotal hours Jenny has worked?

A. It is linear because the total hours worked is always a multiple of 5.

B. It is linear because the total hours worked increases by 15 each week.

C. It is exponential because the total hours worked is always a multiple of 5.

D. It is exponential because the total hours worked increases by 15 each week.

51. Mr. Garcia needs at least 60 paintbrushes for his art classes. He has 22 paintbrushes alreadyand will buy more paintbrushes in packages of 8. Which inequality can be used to find howmany packages of paintbrushes, p, Mr. Garcia needs to buy in order to have at least 60paintbrushes?

A. 8p – 22 ≤ 60

B. 8p – 22 ≥ 60

C. 8p + 22 ≤ 60

D. 8p + 22 ≥ 60



52. Rectangle LOSP is shown below. The lengths, in units, of some of the line segments are alsoshown. Line segments MQ and NR are perpendicular to line segment LO.

4 6 8

12

L M N O

P Q R S

Which shape is similar to rectangle LOSP?

A. LMQP

B. LNRP

C. MNRQ

D. NOSR

53. Kelly bought 6 apples for $5.10. What was the price for 1 apple?

A. $0.85

B. $0.90

C. $1.10

D. $1.18



54. The table shows the length, in millimeters (mm), of Susan’s pencil after sharpening it a certainnumber of times.

Length of Susan’s Pencil

Number of TimesSharpened Length (mm)

0 190

2 185

4 180

6 175

8 170

10 165

Which graph correctly models the information in the table?

A.

y

x

190180170160150

0 2 4 6 8 10


Number of TimesSharpened

Leng

th (m

m)

B.

y

x

190180170160150

0 2 4 6 8 10



Leng

th (m

m)

C.

y

x

190180170160150

0 2 4 6 8 10



Leng

th (m

m)

D.

y

x

190180170160150

0 2 4 6 8 10



Leng

th (m

m)



55. Jamie designed a foam backrest so that the side view is in the shape of a right triangle. Someof the dimensions of the backrest are shown in the side view below.

Jamie’s Backrest

10 in.

h26 in.

What is the height, h, of the backrest?

A. 16 inches

B. 24 inches

C. 776 inches

D. 36 inches



56. Use the grid to answer the question below.

43210

151413121110

987654321

5 6 7 8 x

y

9 10 11 12 13 14 15

S

R

T

U

Rectangle RSTU is rotated around point T to create rectangle R'S'T'U'. The x-coordinate ofpoint T' is less than the x-coordinate of point U', and their y-coordinates are equal. What arethe coordinates of point R'?

A. (9, 22)

B. (11, 4)

C. (13, 4)

D. (20, 15)



57. A restaurant has a container of ice cream with 20 servings of ice cream in it. The restaurantsells at least 2 servings of ice cream per hour. The graph shows the remaining servings of icecream the restaurant could have available throughout the day.

y

x

201816141210

8642

0 1 2 3 4 5 6 7 8 9 10Hours Since Opening

Serv

ings

of I

ce C

ream

Remaining Servings of Ice Cream

Which inequality models the remaining servings of ice cream, y, the restaurant couldhave available x hours since it opened for the day?

A. y ≥ 2x – 20

B. y ≤ 2x – 20

C. y ≥ 20 – 2x

D. y ≤ 20 – 2x

58. Each week, a cook purchases 12 pounds of butter. During the last year, the cook has paid aslittle as $23.04 and as much as $29.40 for the butter purchased in a week. What is thedifference between the greatest price and the least price per pound of butter the cookhas paid during the last year?

A. $0.53

B. $1.92

C. $2.45

D. $4.37



59. The table below shows the number of games sold each month at a store.

Game Sales

Month Games Sold

1 377

2 284

3 191

4 98

Which statement best describes the relationship between the month and the number ofgames sold that month?

A. It is linear because the month goes up by 1 each time.

B. It is linear because the number in the hundreds place decreases each month.

C. It is linear because as the months increase the number of games sold decreases.

D. It is linear because the number of games sold decreases by the same number eachmonth.

60. Phil used 3 gallons of paint to cover 1,125 square feet of a wall. At this same rate, what areaof the wall, in square feet, can Phil cover using 5 gallons of paint?

A. 675 square feet

B. 1,575 square feet

C. 1,800 square feet

D. 1,875 square feet



Write your answers for questions 61 to 64 in the spaces provided below. Thequestions have more than one part. Show all the work you do to find youranswers. Even if you cannot answer all parts, answer as many as you can. Youmay still get points for answering part of a question. Be sure to write clearly.You may review your work in this session but do not work on any othersession.

You MAY use a calculator for this session.

61. Greg started with a certain number of quarters. He then decided on a number of quarters hewould save each day. He added the quarters he saved to the amount with which he started. Atthe end of day 2, Greg saved a total of 26 quarters. At the end of day 5, he saved a total of35 quarters.

A. How many quarters does Greg save each day? Explain how you know.

B. What is the total number of quarters Greg will have saved by the end of day 7?

C. Using the rate at which Greg is saving, explain why he can never have exactly100 quarters saved by the end of any given day.

D. Starting with day 2 and going through day 20, Greg created a graph to show therelationship between the day and the total number of quarters he saved by the end ofthat day. Greg plotted each of the 19 data points and then connected them. Describewhat Greg’s graph looks like.



62. A carpenter uses floor tiles and wall tiles to tile a room. The wall is tiled with square tiles thateach have side lengths equal to the diagonal length of the floor tiles. The floor is tiled withsquare tiles as shown.

wall tiles

floor tiles

intersection of walland floor

diagonal length

The floor tiles that intersect the wall have been cut in half along their diagonal lengths asshown below.

wall tile

floor tile

Each floor tile that intersects the wall has a square floor tile on each of its sides as shownbelow.

wall tile

floor tiles

A. The dimensions of one floor tile are 4 inches by 4 inches as shown in the diagrambelow.

wall tile

floor tiles4 in.

4 in.

What are the dimensions of one wall tile?



B. The carpenter tiled a second room the same way she tiled the first. The carpenterused square tiles that were a different size than the size of the tiles she used in thefirst room. The dimensions of one wall tile are n by n inches as shown in the diagrambelow.

wall tile

floor tiles

n

n

What are the dimensions of one floor tile in terms of n?

C. Choose one of the tiled rooms. Then, compare the area of a wall tile to the area of afloor tile. The area of one wall tile is equal to the area of how many floor tiles?

Use the Pythagorean theorem to explain how you found your answer.



63. The standard length of a game in a basketball league is 48 minutes. For 20 basketball players,a reporter plotted the number of years each has been in the league against the averagenumber of minutes each plays per game. The scatter plot the reporter made is shown below.

Number of Minutes Per Game

Number of Yearsin the League

Aver

age

Num

ber o

fM

inut

es P

laye

d Pe

r Gam

e 4540353025201510

5

10 2 3 4 65 7 8

A. Sketch a line of best fit on the scatter plot.

B. What is one way the line of best fit would change if you removed the data pointrepresenting the player who has been in the league for 3 years and plays an averageof 6 minutes per game?

C. Based on the line of best fit you drew, what is the average number of minutes pergame a player who has never played in the league before could expect to play?

D. Explain why the line of best fit would not provide a valid approximation of theaverage number of minutes per game a player who has been in the league for15 years would play.



64. Kyle has a pile of cube-shaped blocks that measure 1 inch on each side.

A. He arranged some of the blocks to create the figure shown.

Using an exponent greater than 1, write an expression whose value is equal to thenumber of blocks Kyle used to create the figure shown above.

B. He arranged another set of blocks to create the figure below.

Using an exponent greater than 1, write an expression whose value is equal to thenumbers of blocks Kyle used to create this figure.

C. Kyle made a third figure with blocks: a cube. Kyle used a whole number and anexponent of 3 to write an expression that represented the total number of blocks inthe cube. He then used a whole number and an exponent of 2 to write a differentexpression to represent the total number of blocks in the cube. He did not use anyoperations other than the exponents in his two expressions. What are two differentexpressions Kyle could have written to represent the total number of blocks in thethird figure? Show or explain your answers.



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grade 8 mathematics practice test

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