TAKS Spring 2006 Grade 7 Mathematics Online Test

DIRECTIONS
Read each question. Then mark the circle next to the letter for the answer you have chosen. If a correct answer is not here, mark the circle next to the letter for “Not here.”

1Max drew a triangle on the coordinate plane shown below.

Which of the following best represents the coordinates of the vertices of ΔKLM?

A(–2, 5), (1, 1), (–3, 1)

B(–2, 5), (1, 1), (1, –3)

C(5, –2), (1, 1), (1, –3)

D(5, –2), (1, 1), (–3, 1)

2The numbers in Set R share a common characteristic.

Set R: 48, 54, 6, 66, 12, 24

The numbers in Set S do not share this characteristic.

Set S: 9, 20, 39, 15, 63, 27, 44

Which best describes the characteristic that only the numbers in Set R share?

FNumbers less than 70

GNumbers greater than 5

HNumbers that are composite

JNumbers divisible by 6

4The top, front, and side views of a solid figure made of cubes are shown below.

Which solid figure is best represented by these views?

5Which rule can be used to find the value of any term in the sequence below where n represents the position of the term?

A2n + 4

B4n + 2

C3n + 3

D8n − 2

6A farmer knows the length and width of his rectangular pasture. He also knows how many pounds of fertilizer to spread per square yard. What additional information does the farmer need to know in order to determine the number of bags of fertilizer he should buy?

FThe type of grass in his pasture

GThe number of bags of fertilizer his truck will hold

HThe price of each bag of fertilizer

JThe number of pounds of fertilizer in each bag

7Which situation is best represented by the equation x − 4 = 16?

Miranda picked 16 apples and ate

of them. What is x, the number of apples she had left?

Felipe ran for 16 minutes and walked for 4 minutes. What is x, the difference between the time he spent running and the time he spent walking?

Jordan spent $4 of his allowance and had $16 left. What is x, the total amount of Jordan’s allowance?

Cecilia has hit 4 of the last 16 balls pitched. What is x, the total number of balls pitched?

8	Marilou needs to cut a piece of glass for her table. The table is in the shape of a regular hexagon. The glass should measure 1 feet on each side. What is the perimeter of the piece of glass?

F12 ft

G9 ft

H18 ft

J7.5 ft

9Look at the 2 rectangles below.

Which method could be used to prove that the rectangles are similar?

ADivide 3 by 2 and 4 by 1.5 to see whether the quotients are the same

BDivide 1.5 by 4 and 2 by 3 to see whether the quotients are the same

CDivide 4 by 1.5 and 2 by 3 to see whether the quotients are the same

DDivide 3 by 1.5 and 4 by 2 to see whether the quotients are the same

10Lynne works at a bank and earns $9.75 per hour. If Lynne works 35 hours each week, which expression could be used to determine her total earnings for 1 year?

F9.75 × 35

G9.75 × 52

H9.75 × 35 × 52

J9.75 × 35 × 12

12DeAndre bought 15 party hats priced at 3 for $0.65 and 56 noisemakers priced at 7 for $1.25. What was the total cost of the hats and noisemakers, not including tax?

F$9.75

G$8.75

H$10.70

J$13.25

13Beatrice translated trapezoid RSTU to trapezoid R′S′T′U′. Vertex S was at (4, 1).

If vertex S′ is at (–3, 4), which best describes this translation?

AMove 7 units left and 3 units up

BMove 1 unit left and 3 units up

CMove 3 units down and 7 units right

DMove 8 units left and 4 units up

14A triangle with two congruent sides and an angle of 104° is —

Fisosceles and right

Gisosceles and obtuse

Hisosceles and acute

Jscalene and obtuse

15Laneitre is trying to figure out the heights of 3 people. Here are the facts she knows.

	•	The sum of the heights of these 3 people is 17 feet 5 inches.
	•	The shortest person is 5 feet 4 inches tall.
	•	The other 2 people differ in height by 3 inches.

How tall is the tallest person?

A5 feet 4 inches

B5 feet 11 inches

C6 feet 2 inches

D12 feet 1 inch

16Brenda wants to attach a string of beads along the circular bottom edge of the lamp shade shown below. The diameter of the bottom of the lamp shade is 16 centimeters.

About how many centimeters long should Brenda make the string of beads?

F25 cm

G50 cm

H79 cm

J201 cm

17The drawing below shows the rotor of a helicopter.

This helicopter has a rotor that moves at a rate of 500 spins per minute while flying. Which statement is best supported by this information?

AThe helicopter rotor will spin 2,000 times in 40 minutes.

BThe helicopter rotor will spin 4,000 times before lifting the helicopter off the ground.

CThe helicopter rotor will spin 15,000 times in 3 hours.

DThe helicopter rotor will spin 30,000 times in 1 hour.

18	Mrs. Newsome said that of the faculty at Long High School had attended the school as teenagers. Which decimal and percent are equivalent to ?

F0.18, 18%

G0.125, 12.5%

H1.8, 180%

J1.25, 125%

19Arthur uses his own tractor while doing various jobs. He is paid a flat fee of $100 for each job. In addition to the flat fee, he is paid $20 for each hour he works with the tractor. Which shows how to find the amount Arthur should be paid for working with the tractor for 10 hours?

AAdd 20 to 10 and then multiply the sum by 100

BMultiply 100 by 10 and then add 20 to the product

CMultiply 20 by 10 and then add 100 to the product

DAdd 20 to 100 and then multiply the sum by 10

20The circle graph below shows the materials in U.S. landfills.

Which of the following statements is NOT supported by the graph?

Paper and other trash make up more than

of U.S. landfills.

Rubber and leather and food and yard waste make up

of U.S. landfills.

The amount of plastic is triple the amount of metal in U.S. landfills.

The amount of paper is more than twice the amount of metal in U.S. landfills.

21Nora wants to save $82.50 to buy a special gift for her mother. She has 15 weeks to save the money. If she wants to save the same amount each week, how much money, in dollars and cents, must Nora save each week?

Record your answer in the space below. Be sure to use the correct place value.

(Your answer must be between 0 and 999.)

22Randy and his 5 friends played a card game in which the person with the lowest final score wins. The table below shows the final scores for all the players except Erica.

If Erica won the game and the range of the scores was 17, what was Erica’s score?

F104

G106

H140

J124

23A school district hired a speaker to present some information for career day to the middle school students in the district. The speaker used the following information to estimate the total number of students who will attend the presentation.

	•	There are 3 middle schools.
	•	There are 20–25 homeroom classes in each middle school.
	•	There are 25–30 students in each homeroom.

What is the best estimate of the total number of students who will attend the presentation?

A750

B1,125

C1,800

D2,500

24The data in the table below show the number of lunch items sold at a school snack bar in one day.

Which statement is best supported by these data?

FThere are a total of 690 students attending classes at the school.

GThe number of students who bought hamburgers is 50% of the number of students who bought nachos.

HThere are 300 students at the school who do not like hamburgers.

JThe number of students who bought chocolate milk is 55% of the number of students who bought regular milk.

25A pest-control company was hired to spray the lawn represented by the shaded region shown below.

What was the area in square feet that was sprayed?

A19,280 ft²

B20,000 ft²

C37,680 ft²

D17,680 ft²

26Of the 850 students at Brown Middle School, 38% are in the school band. How many students are in the school band?

F32

G527

H323

J812

27Mrs. Blackburn wrote the following riddle on the board for her mathematics class.

	We are 2-digit numbers. Our greatest common factor is 16.
	Our difference is 48. Our sum is 112.

What are the 2 numbers of the riddle?

A16 and 48, because their greatest common factor is 16

B32 and 80, because their difference is 48 and their greatest common factor is 16

C16 and 64, because their difference is 48 and their greatest common factor is 16

D48 and 96, because their difference is 48

28For storage Mrs. Lin uses cylindrical containers like the one shown below.

If Mrs. Lin uses 2 of these containers, which is closest to the total volume of both containers?

F13 cubic feet

G6 cubic feet

H8 cubic feet

J16 cubic feet

29The table shows several countries and the portion of their population that is under age 15.

Which of the following lists the countries in order from least to greatest portion of the population under age 15?

AUnited States, Ethiopia, Benin, Chad, Uganda

BUganda, United States, Benin, Ethiopia, Chad

CUnited States, Benin, Ethiopia, Chad, Uganda

DUganda, Chad, Ethiopia, Benin, United States

30Two basketballs can fit inside a hoop, as shown in the drawing below.

If each basketball has a circumference of 30 inches, which equation could be used to find d, the diameter of the hoop?

31The table below shows the different sizes of square gardens Charlie can build.

Which graph shows the correct relationship between the side length and perimeter of each square garden Charlie can build?

32Stephanie makes cocoa mix to sell at the winter fair. She makes 230 cups of one flavor of cocoa mix and 180 cups of another flavor. To package the cocoa mix, Stephanie needs to purchase containers that hold 2 cups each. The containers are sold in boxes of 50. Which would be the correct order for Stephanie to do the following steps to find the number of boxes of containers she needs to buy?

	Step R:	Divide the total number of cups of cocoa mix by 2.
	Step S:	Find the sum of the numbers of cups of the two different types of cocoa mix.
	Step T:	Divide the number of containers needed by 50 to find the number of boxes of containers to buy.

FR, S, T

GS, R, T

HT, R, S

JR, T, S

33Janeska ran in 3 races. The distances she ran in the races were 5 kilometers, 4.25 kilometers, and 5.5 kilometers. How many meters did Janeska run in the 3 races altogether?

A1,475 m

B14,750 m

C48,500 m

D15,000 m

34Bradley answered 80% of the questions on his science test correctly. There were 30 questions on the test, and all the questions had equal value. How many questions did Bradley NOT answer correctly on his test?

G18

H24

J20

35Mrs. Sheldon made lunch for her family. She made tuna sandwiches and chicken sandwiches. She made coconut cookies and oatmeal cookies. Which list shows all possible outcomes if a person picked one sandwich at random and one cookie at random?

A(Tuna, coconut), (chicken, oatmeal)

B(Tuna, coconut), (chicken, coconut), (tuna, oatmeal), (chicken, oatmeal)

C(Tuna, chicken), (tuna, coconut), (tuna, oatmeal), (chicken, tuna), (chicken, coconut), (chicken, oatmeal)

D(Tuna, oatmeal), (chicken, oatmeal), (tuna, chicken), (coconut, oatmeal)

36The final project in Yasmeen’s art class is to create a 3-dimensional triangular pyramid out of paper. Which net below could Yasmeen use to create a triangular pyramid?

38A newspaper gains and loses subscribers daily, as some people subscribe and other people cancel their subscriptions. The table below shows the subscriptions and cancellations for a newspaper during the first two months of the year.

If the newspaper started the year with s subscriptions, which expression can be used to find how many subscriptions the newspaper had at the end of the two-month period?

Fs + 100 + (–30) + 450 + (–120)

Gs + 100 + 30 + 450 + 120

Hs + 100 + 450

Js + (–30) + (–120)

39	The model below can be used to represent the area of a square with a side length of units.

What is another way to represent the side length of this square?

125

40Patrice records the number of calories she burns while exercising each day, as shown below.

	Day 1: 250 calories
	Day 2: 350 calories
	Day 3: 400 calories
	Day 4: 250 calories
	Day 5: 300 calories

How many calories must Patrice burn on the sixth day to have a mean of 300 calories burned for the 6 days?

F0 calories

G150 calories

H250 calories

J310 calories

41Peter wants to find the perimeter of the isosceles trapezoid shown below.

Which equation could Peter use to find P, the perimeter of the trapezoid?

AP = 8 · 14 + 5

BP = 8 + 14 + (2 · 5)

CP = (8 + 14) · 4 ÷ 2

DP = 8 + 5 + 14 + 4

42The drawing below shows the side view of a picture frame on a desk.

If m

1 is 75°, what is the measure of its complementary angle?

F15°

G25°

H105°

J115°

43Lindy is planning to build a model of a train using a scale where 2 inches represents 25 feet. If the train is 60 feet long, what is the length in inches that Lindy should build the model of the train?

A9.6 in.

B2.4 in.

C4.8 in.

D1.2 in.

45A 10-ounce box of cereal costs $2.98, and a 20-ounce box of the same cereal costs $5.49. Which of these statements will help a shopper decide which box is the better buy?

AThe 10-ounce box is the better buy because it is less expensive per ounce of cereal.

BThe 10-ounce box is the better buy because $2.98 is about $3, and $3 goes into $5.49 about 3 times.

CThe 20-ounce box is the better buy because it is more expensive per ounce of cereal.

DThe 20-ounce box is the better buy because two of the 10-ounce boxes cost more than one 20-ounce box.

46Lisa’s principal kept a record of the times Lisa’s school bus arrived at school. The table below shows the percent of time that the bus arrived on time or was late.

Which statement is best supported by the data in the table?

FThe bus was late a higher percent of the time than it was on time.

GThe bus was late less than half the time.

HThe bus was between 1 second and 5 minutes late most of the time.

JThe bus was more than 10 minutes late most of the time.

47Ed is reading the math problem shown below.

Which is a correct way to read this problem?

AOne and six tenths divided by three and two tenths

BThree and two tenths divided by one and six tenths

CThree and two hundredths divided by one and six hundredths

DOne and six hundredths divided by three and two hundredths

48A survey asked 50 students which activities they like to participate in during the summer. The results of the survey are shown in the table below.

Which circle graph best represents the data in this table?

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