GRADE 8 - Harmony School of Science

STUDENT NAME: ___________________________________________________

GRADE 8

MATHEMATICS

Administered December 2009

Name:________________________________

Cla ss: ___________

8th Grade TAKS Practice Test 2

1 Cody’s parents bought a big-screen television

for $1,099.99 and a DVD player for $99.99, including tax. Cody’s parents plan to pay the total amount in 18 equal monthly payments. What is a reasonable amount for each monthly payment? A $50.00 B $150.00 C $113.00 D $67.00 2 The sun’s core temperature reaches close to

2.7 107 degrees Fahrenheit. Which of the following represents this temperature in standard notation? F 270,000°F G 2,700,000°F H 27,000,000°F J 270,000,000°F

3 A certain bacterium measures approximately

0.000015 millimeter in length. How is this length expressed in scientific notation? A B C D

1.5 × 10 –5 mm 1.5 × 10 –4 mm 0.15 × 10 5 mm 15 × 10 4 mm

4 The area of a square is 125 square meters.

Which best represents the length of a side of the square? F G H J

10.8 m 11.2 m 11.9 m 12 m

5 Gloria, Peyton, Ryan, and Santos each grew a crystal for a school project. They measured

and recorded the heights of their crystal in millimeters, as shown below.

Which student’s crystal grew proportionally over time? A B C D

Gloria Peyton Ryan Santos


1

6 Which line graphed below best represents the

table of values for the ordered pair (x, y)?

H

F J

G


2

7 A pattern of equations is shown below.

10 Which equation can be used to find m, the

number of minutes in h hours? F m = 60 - h G m = h + 60 H m = h ÷ 60 J m = 60h

1% of 800 = 8 2% of 400 = 8 4% of 200 = 8 8% of 100 = 8 16% of 50 = 8

11 Lucy reads 450 words in 3 minutes.

Which statement best describes this pattern of equations? A When the percent is doubled and the other number is halved, the answer is 8. B When the percent is doubled and the other number is doubled, the answer is 8. C When the percent is increased by 2 and the other number remains the same, the answer is 8. D When the percent remains the same and the other number is increased by 2, the answer is 8.

Which equation can be used to find w, the number of words Lucy can read in 20 minutes if she continues to read at the same rate?. A B C D

8 Sheila made a scale drawing of a room. The

actual room has a width of 16 feet and a length of 24 feet. Her drawing has a length of 3 inches. What is the width, in inches, of the scale drawing of the room? F 1 G 2 H 3 J 4 9 Mr. Harrington wrote four irrational numbers

on the board and asked Jared to choose the number closest to 3. Which irrational number should Jared choose? A B C D


3

450 (20) 3 450 w= (3) 20 3 w= 20(450) 20 w= 3(450) w=

12 Carlos, Jackie, Lester, and Margie ate lunch at

a restaurant. The total amount of the bill, including tax and tip, was $44.60. Carlos paid $15.00, Jackie paid

of the bill, Lester paid

20% of the bill, and Margie paid the rest of the bill. Who paid the greatest part of the bill? F Carlos G Jackie H Lester J Margie

14 Which figure can be placed along the

13 A bag of mixed Yummy Gummies contains

segment labeled x millimeters to make the model below a correct representation of the Pythagorean Theorem?

26% green, 34% red, 24% blue, and 16% yellow gummies. Carla put 250 mixed gummies in a bowl. Which proportion can be used to find y, the total number of yellow gummies in the bowl? A B C D

250 16 = y 100 y 16 = 100 250 100 y = 250 16 16 150 = 100 y

F

G

H

J


4

15

17 A store’s records showed that during a

Zeb used the rule listed below to rewrite the expression 10 2 × 10 5. 10 m × 10 n = 10 m + n

one-month period, 3 gallons of milk were sold for every 2 boxes of cereal sold. If 2,864 boxes of cereal were sold that month, how many gallons of milk were sold?

Based on this rule, which of these is equivalent to the expression 8 – 4 × 8 6? A 8 – 10, because 8 – 4 × 8 6 = 8 – 4 – 6 B 8 10, because 8 – 4 × 8 6 = 8 4 + 6 C 8 – 2, because 8 – 4 × 8 6 = 8 4 – 6 D 8 2, because 8 – 4 × 8 6 = 8 – 4 + 6

A B C D

16 Bobby saved $32 when he purchased a jacket

at a clearance sale. If the sale price was 40% off the regular price, what was the regular price of the jacket? F G H J

$48 $72 $80 $128

18 Triangle EFG is similar to Triangle HJK.

Find the length of JK . F G H J

3 units 7 units 14 units 24.5 units


5

8,592 gal 5,728 gal 4,296 gal 1,909 gal

19 After careful consideration of the menu shown below, Mireya purchased Charlie’s Value meal No. 2.

Mireya calculated her savings by finding the sum of $2.49 plus 2 times $1.29. What did Mireya do next to calculate her savings? A Add $1.29 to the sum C Subtract $4.29 from the sum B Divide the sum by 3 D Subtract $4.69 from the sum


6

20 Ivan’s car uses gasoline at an average rate of 20 miles per gallon. He must drive from City 1 to City 2.

Use the ruler on the Mathematics Chart to measure the distance from City 1 to City 2 on the map below in inches.

How many gallons of gasoline will Ivan’s car use at this rate when he drives from City 1 to City 2? F 10 gal H 200 gal G 40 gal J 800 gal 21 The diameter of a blood cell is measured in

micrometers. A micrometer is 0.000001 meter. Which expression represents this number in scientific notation? A 1.0 10 7 B 1.0 10 6 C 1.0 10 – 6 D 1.0 10 –7

22 Sharon played an electronic game. There were

15 questions, of which she answered 3 incorrectly. At this rate, how many questions should Sharon expect to answer incorrectly if she answers a total of 135 questions? F 45 G 27 H 9 J 5 23 The area of a square is 83 square meters.

Which of these is closest to the length of each side of the square? A 9.1 m B 9m C 8.9 m D 8m


7

24 The figures below have a repeating pattern.

Which shows a 180° rotation of the 19th figure in the pattern?

F

G

H

J


8

25 Mr. and Mrs. Lee brought their 2 children, Cooper and Erin, to a museum. Only Mr. Lee received a

discount on his ticket. The table below shows the admission prices at the museum.

Which person’s admission price can be found without any other information? Mrs. Lee C Cooper Mr. Lee D Erin

A B

26 Mrs. Jones visited a botanical garden with dimensions of 550 feet by 600 feet. Mrs. Jones

plans to create a similar botanical garden in her backyard with dimensions that are the dimensions of the garden she visited. Which dimensions could she use? F G H J

275 ft by 300 ft 11 ft by 12 ft 110 ft by 120 ft 11 ft by 600 ft


9

1 of 50

27 Roderick is building a model of an actual airplane with a length of 20 feet.

A B C D

What other information is necessary in order to find x, the length of the model airplane? The ratio of the length of the model airplane’s tail to the length of its wing The speed of the model airplane The scale factor used The model airplane’s wingspan

28 Which fraction is between

and

?

F G H J


10

29 Mr. Devereaux plans to purchase a new

home entertainment center on a financing plan. He must make an initial down payment that is a portion of the total cost. The table below shows the down payments that four different stores require.

If the entertainment center costs the same at each store, which store requires the smallest down payment? A B C D

Home Audio Music and More Sound Savings Discount Center


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30 Mrs. Guzman bought 3 table lamps for

$129.90. If each lamp cost $40.00 before tax was added, what tax rate did she pay on the 3 lamps? F 7.5% G 43.3% H 30.79% J 8.25%

31 Rae’s recipe for lemon-lime punch calls for the following ingredients:

•

1 quart of apple juice

•

2

• •

64 ounces of pineapple juice 2 quarts of cold water

•

1 cup of lemon juice 4

3 cups of lemon-lime soda 4

What is the smallest container that will hold all the ingredients? A B C D

A 4-quart container A 5-quart container A 6-quart container A 7-quart container

32 To make a certain shade of orange paint,

Calvin must add 20 ounces of yellow paint to every 50 ounces of red paint. If he uses 200 ounces of red paint, which proportion can he use to find x, the number of ounces of yellow paint he should add to get the shade of orange he wants? F G

Hines paid $8.40 for an international phone call. He paid a fee of $1.25 plus $0.55 per minute. Which equation can be used to find x, the length of the call in minutes? F G H J

0.55x + 1.25 = 8.40 0.55x - 1.25 = 8.40 1.25x + 0.55 = 8.40 1.25x - 0.55 = 8.40

35 Terri combined 4 pint of cranberry juice,

1 quart of apple juice, 46 ounces of ginger ale, and 8 ounces of pineapple juice to make punch. How many 6-ounce servings did she make?

H J 33 Mr. Loya stated that the circumference of Earth

at the equator is 24,902.4 miles. Which expression represents this number in scientific notation? A 2.49024 × 10 4 B 24.9024 × 10 4 C 249.024 × 10 4 D 2.49024 × 10 5


34 Mr.

12

A B C D

10 19 25 30

36 Mrs. Weathersbee drew a line and shaded part of the coordinate plane.

Which list is made up of coordinate pairs representing points in the shaded part of the coordinate plane? F (3, –4), (–2, 5), and (6, –3) H (–6, 3), (1, 6), and (–2, 1) G (–3, 4), (3, 8), and (–9, –2) J (–3, 5), (3, 1), and (–9, 2) 37 Two similar quadrilaterals are shown

below. The ratio of the lengths of the corresponding sides and is 2:3, respectively.

38 Several stores are having sales. The prices are 2 1 7 reduced by 62.5%, , 75%, , and . Which 3 2 10

list shows the price reductions from greatest to least? 75%, 62.5%,

G

75%,

H

What is the measure of A B C D

J

?

18 centimeters 15 centimeters 14 centimeters 8 centimeters


13

1 2 7 , , 2 3 10 2 1 , 62.5%, 3 2 1 2 62.5%, , 2 3 2 1 62.5%, , 3 2

F

7 , 10 7 75%, , 10 7 75%, , 10

39 The Texas state flag is rectangular and has a

42 Mr. Thomas is framing a 28-by-40-foot area

width-to-length ratio of 2:3. Which of the following can be used to find l, the length of a Texas state flag with a width of 28 inches?

for a concrete slab. If the concrete company charges $120.00 per cubic yard of concrete, what other information is needed in order to find c, the cost of the concrete slab? F The area of the slab G The thickness of the slab H The perimeter of the slab J The price per cubic foot of concrete

A B C D

43 Mrs. Díaz told her math class that a particular

40 Mai earns a salary of $200 per week plus an

rectangle has a perimeter of 36 units and an area of 65 square units. Which of the following could be the dimensions of the rectangle? A 2.5 units by 26 units B 4 units by 9 units C 5 units by 13 units D 6.5 units by 11.5 units

additional 5% commission on her sales. If Mai’s weekly salary increases by $25 and her commission increases to 6%, how much will she earn if her weekly sales are $2,500? F $325.00 G $375.00 H $525.00 J $700.00

44 Principal Alcocer determined that 80% of the 41 Mrs. Avery bought a 5-pound bag of white

potatoes for $4.25. If red potatoes sold for $0.89 per pound, why did Mrs. Avery believe that she made the better buy? A The number of red potatoes in a 5-pound bag is greater than the number of white potatoes in a 5- pound bag. B The cost for all kinds of potatoes in 5-pound bags is the same. C The cost per pound of white potatoes is $0.04 less than the cost per pound of red potatoes. D The cost per pound of white potatoes is $0.04 more than the cost per pound of red potatoes.


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students at his school wore boots to school at least two days a week during winter. If his school has 1,200 students, which statement does NOT represent Principal Alcocer’s data? F During winter 960 students wear boots to school at least two days a week. G During winter 240 students wear boots to school fewer than two days a week. H

During winter more

than of the students

wear boots to school at least two days a week. J

During winter less than

of the students

wear boots to school fewer than two days a week.

45 An electronic device counted 3,962 vehicles

passing through an intersection during a 7-hour period. If the number of vehicles passing through this intersection per hour remains the same, which proportion can be used to find x, the number of vehicles that would be counted by the device during a 9-hour period? A A B C D

7 x = 3,962 9 3,962 x = 9 7 7 9 = x 3,962 7 16 = 3,962 x

B

46 Mr. Johnson is considering renting an office

that has 325 square feet of space. The rent is $1,300 per month. A larger office in the same building is available for $2,100 per month at the same rate per square foot as the smaller office. What is the area of the larger office? F 525 ft 2 G 1,625 ft 2 H 3,400 ft 2 J 840 ft 2

C

47 The graph of the line y = 2x + 3 is drawn on the

coordinate grid below. D 48 A side of Ari’s aquarium is a square with

an area of 190 square inches. The length of each side of the square is — F G H J

Which table of ordered pairs contains only points on this line?


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between 19 and 20 inches between 18 and 19 inches between 12 and 13 inches between 13 and 14 inches

49 Which of the following statements best

describes the data in the table below?

A

B C D

The value of y is 3

1 more than the 2

value of x. The value of y is 3 more than twice the value of x. The value of y is 3 times the value of x increased by 1. The value of y is 3 less than twice the value of x.

50 Caroline used the following formula to

determine t, the sales tax on p, the dollar amount of a customer’s total purchase at the candle shop where Caroline works. t = 0.0825p

A customer bought a box of red candles for $15 and 2 scented candles for $20 each. Which is closest to the sales tax on the customer’s purchase? F G H J

$5.95 $4.54 $1.65 $2.89


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GRADE 8 - Harmony School of Science

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