Answer questions 1–44 on your answer sheet. You...

©Curriculum Associates, LLC Copying is not permitted.34 North Carolina Assessment 2

Assessment 2

Calculator-Active Section

Answer questions 1–44 on your answer sheet. You may use a calculator.

1 A circular plate has a diameter of 9 inches. What is the area of the dish?

A 12.56π in.2

B 16π in.2

C 20.25π in.2

D 81π in.2

2 Which equation is true?

A 4 }} 29

5 4 } 9

B 4 }} 29

5 2 }} 23

C 4 }} 29

5 24 }} 9

D 4 }} 29

5 2 } 3

3 How can 4 } 9 be written as a decimal?

A 0.44

B 0. ·· 4

C 2. ·· 2

D 2.25

Go On

©Curriculum Associates, LLC Copying is not permitted.35North Carolina Assessment 2

4 The tires on Guliana’s bicycle have diameters of 24 inches, and Guliana is riding at a rate of

16 feet per second. The tires on her little brother Richard’s bicycle have diameters that are

1 } 2 those of Guliana’s, and Richard is riding 3 }

4 as fast as Guliana.

Approximately how many more revolutions does Richard’s front tire make in a minute than Guliana’s front tire? Use 3.14 for π, and round your answer to the nearest whole number. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

5 The table below lists the scores Tea and Umeko received on their spelling tests this semester.

TEST SCORES

Test 1 2 3 4 5 6 7 8 9

Tea 80 80 85 80 75 80 90 70 80

Umeko 95 75 70 70 100 65 100 80 65

Which statement best describes how their scores compare?

A Tea has higher mean and median scores.

B Umeko has higher mean and median scores.

C The mean scores are the same, but Tea has a higher median score.

D The mean scores are the same, but Umeko has a higher median score.

6 Jasmine took a cab home from her office. The cab charged a flat fee of $4, plus $2 per mile. Jasmine paid $32 for the trip. How many miles was the cab ride?

A 5.33

B 7.50

C 14

D 26


7 Caroline is transferring a file from one computer to another. The size of the file is more than 110 megabits, and so far 96.25 megabits have been transferred. The transfer speed is 2.75 megabits per second.

Which number line shows the solution set for the number of additional seconds it will take for the file to be transferred?

A 10987654321

B 10987654321

C 10987654321

D 10987654321

8 The figure below shows one of the paving stones in Jack’s garden.

30 in.

70 in.

18 in.

[not drawn to scale]

What is the area of the paving stone?

A 450 in.2

B 900 in.2

C 1,680 in.2

D 1,800 in.2

Go On


9 The table below shows how much flour Quon needs to bake various numbers of scones.

Scones Cups of Flour

12 3

20 5

28 7

How many cups of flour does Quon need for each scone?

A 1 } 4

B 3 } 4

C 3

D 4

10 Gelisa set a goal of running a total of 32 miles this week. She ran 4 1 } 2 miles each morning,

Monday through Friday. How many miles does she need to run this weekend in order to reach

her goal for the week?

A 14 miles

B 9 1 } 2 miles

C 5 1 } 2 miles

D 2 miles


11 A model of a symmetrical garden shed is shown below.

8.4 ft

8.4 ft

8.4 ft

4 ft

5.8 ft

What is the surface area of the shed, including its floor?

A 624.96 ft2

B 554.4 ft2

C 517.4 ft2

D 483.84 ft2

12 Andre surveyed a random sample of 30 students to find the heights of seventh grade students in his school. The mean of the data in his sample was 61.3 inches. Which of these is most likely the mean height of all the seventh grade students?

A 54.7 inches

B 58.1 inches

C 61.5 inches

D 64.9 inches

Go On


13 A scale drawing of a circular tub had a diameter of 5 centimeters. Nelson used a copy machine to enlarge the drawing. The copy had a diameter of 12.5 cm. What is the scale factor of the original to the copy?

A 1:5

B 2:5

C 5:1

D 5:2

14 A hot air balloon was at least 975 feet above the ground before it began its landing. It has descended 923 feet so far, and it is descending at a rate of 6.5 feet per second.

Which inequality shows the number of additional seconds it will take for the hot air balloon to reach the ground?

A 10987654321

B 10987654321

C 10987654321

D 10987654321


15 A carpet store charges by the square yard for a particular brand of carpet. The price for 38 square yards is $294.50.

At this rate, what is the price for 54 square yards of the carpet?

A $391.50

B $418.50

C $445.50

D $472.50

16 Doubling the sum of Steve’s and Pam’s ages gives 38. If Pam is 10 years old, how old is Steve?

A 4 years old

B 9 years old

C 14 years old

D 29 years old

17 A clothing store paid an import tax of $32 on a shipment of $800 worth of silk scarves. The import tax rate is always the same. What would be the value of silk scarves that have an import tax of $120?

A $888.00

B $1,776.00

C $3,000.00

D $3,200.00

Go On


18 Abbas recorded the types of drinks some randomly-selected people purchased at a convenience store over two days.

Sports Drinks Other Beverages

Day 1 30 20

Day 2 28 22

Which statement is best supported by the data Abbas gathered?

A On a day where 150 drinks are sold, exactly 60 will be sports drinks.

B On a day where 150 drinks are sold, about 60 will be sports drinks.

C On a day where 200 drinks are sold, exactly 120 will be sports drinks.

D On a day where 200 drinks are sold, about 120 will be sports drinks.

19 The figure below shows several rays that share a common endpoint.

P

R

S

T

Q

O

(x + 5)°

(2x + 7)°

Suppose that the measure of /QOR had instead been represented as (4a 1 3)°. Which of these could have represented the measure of /ROS?

A (8a 1 3)°

B (8a 1 5)°

C (8a 1 7)°

D (8a 1 9)°


20 A company’s stock begins the week with a price of $43.85 per share. The price changes by $2.70 each day for 2 days. Then the price changes by 2$1.10 each day for 2 days. On the last day, the price changes by 2$4.45.

What is the price per share of the company’s stock after those five days?

A $41.00

B $42.60

C $45.10

D $55.90

21 Amber has some state quarters in her pocket. She collects the following data by randomly pulling one quarter, recording the state, and then replacing it.

New York Connecticut New York New York Rhode Island

Connecticut New York Pennsylvania Connecticut Rhode Island

New York Rhode Island Connecticut Pennsylvania New York

Pennsylvania New York New York Connecticut Pennsylvania

New York Pennsylvania Rhode Island Rhode Island New York

What is the best estimate of the number of times Amber would pull out a New York quarter if she pulled out a quarter another 300 times? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Go On


22 The figure below is a scale drawing of Quinto’s bedroom. The scale used to create the drawing

was 1 } 2 inch 5 4 feet.

Quinto’s Bedroom

inches1 2 3

If the scale had been 2 } 3 inch 5 4 feet, how many more inches would the width of the scale

drawing of Quinto’s bedroom have been?

A 1 } 6 inch

B 1 } 4 inch

C 3 } 4 inch

D 5 } 6 inch


23 Justin made a scale drawing of a rectangular playground. He used the scale 2 centimeters 5 3 feet. His drawing is 18 centimeters 3 24 centimeters. What is the actual area of the playground?

A 972 ft2

B 648 ft2

C 432 ft2

D 288 ft2

24 The sum of 4 consecutive odd numbers is 40. What is the greatest of the 4 numbers?

A 15

B 13

C 9

D 7

25 Which table shows a proportional relationship with the constant of proportionality as 2.5?

x y

20 25

6 30

9 22.5

14 35

x y

20 50

6 15

9 22.5

14 20

x y

20 50

6 15

9 22.5

14 35

x y

2 50

6 15

4.5 22.5

14 35

A B C D

Go On


26 Adam rearranged the sectors of the circle below to make a figure that is nearly a parallelogram.

How are the dimensions of the figure related to the circle?

A The perimeter of the figure equals half the circumference and the height equals half the radius.

B The perimeter of the figure equals half the circumference and the height equals the radius.

C The base equals the circumference and the height equals the radius.

D The base equals half of the circumference and the height equals the radius.

27 Eduardo can spend up to $8 for lunch. He wants to buy a sandwich and a cup of soup for $5.03. Eduardo also wants to buy some fruit for dessert. Each piece of fruit costs $0.99. Which inequality shows the number of pieces of fruit that Eduardo can buy?

A p # 8

B p # 7

C p # 5

D p # 3


28 On a winter morning, the temperature

before sunrise was 211°F. The

temperature then rose by 1 } 2 degree each

hour for 7 hours before dropping by

2 1 } 4

degrees each hour for 3 hours.

What was the temperature, in degrees

Fahrenheit, after 10 hours?

A 21 1 } 4

B 210 1 } 4

C 214 1 } 4

D 221 1 } 4

29 In the equations below, x is the independent variable and y is the dependent variable.

Equation Number Equation

1 4y 5 3x

2 8y 5 5x

3 8y 5 6x

4 5y 5 8x

Which two equations have the same constant of proportionality?

A 2 and 4

B 2 and 3

C 1 and 3

D 1 and 2

30 A spinner is shown below.

Green Yellow

RedBlue

If Lan spins the spinner 300 times, about how many times should she expect it to stop in the yellow region?

A 60

B 75

C 100

D 133

31 Dakota works at a restaurant. She worked 4 hours each on Monday and Tuesday. For those 2 days, Dakota earned less than $200, including $40 in tips. Which inequality shows her hourly wage?

A h $ $14

B h . $12

C h , $20

D h # $10

Go On


32 The arrow on a street sign measure 30 inches from the tip to the end as shown.

2 in.

2 in.

5 in.

22 in.

30 in.

What is the area of the arrow?

A 110 in.2

B 130 in.2

C 146 in.2

D 182 in.2

33 Sapphire has one bag with 8 apples and 12 oranges, and another bag with 6 apples and 9 oranges. What is the number of oranges per apple in each bag?

A 12

B 8

C 3 } 2

D 2 } 3


34 Using a scale, Jamal correctly found the mass of a rock to be 3,000 grams. Kemen and Ashley used different scales and recorded different masses for the same rock. The percent error in Kemen’s measurement was at most 5%, and the percent error in Ashley’s measurement was at most 3%.

How much greater is the range of possible values of Kemen’s measurement than that of Ashley’s measurement?

A 60 grams

B 120 grams

C 180 grams

D 300 grams

35 Lines a and b are parallel.

a

b

c

68º

D

What is the measure of /D?

A 228

B 688

C 1128

D 1228

Go On


36 The diagram below shows a doghouse that Calvino built.

1.5 ft

3.0 ft

4.5 ft4.5 ft

What is the volume of the doghouse?

A 75.9375 ft3

B 60.75 ft3

C 30.375 ft3

D 15.1875 ft3

37 A butcher is dividing a round of beef into 3 equal-sized roasts. If each roast weighs 7.9 pounds, and there are 1.4 pounds of beef left over, how much did the round weigh?

A 19.5 pounds

B 22.3 pounds

C 25.1 pounds

D 27.9 pounds


38 Mrs. Habib has 46.25 feet of ribbon for a border around a bulletin board for her classroom. The board is 3.75 feet tall and 8.3 feet wide. How many feet of ribbon will Mrs. Habib have left after she puts border around the board? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

39 Phoung is rolling a number cube and flipping a coin. What is the probability that the cube will land on 4 and the coin will land heads up?

A 2 } 3

B 1 } 2

C 1 } 6

D 1 }} 12

40 The speed of a baseball pitcher’s fastball is 92.4 miles per hour. His fastball is 10% faster than his curveball, and his curveball is 5% faster than his change-up.

How fast is the baseball pitcher’s change-up?

A 78 miles per hour

B 80 miles per hour

C 82 miles per hour

D 84 miles per hour

41 The figure below is a scale drawing of a vacant lot in Phil’s neighborhood. The scale of the drawing is 1 centimeter 5 15 meters.

4 cm

3 cm

What is the actual area of the lot?

A 180 m2

B 210 m2

C 2,700 m2

D 3,600 m2


42 A bicycle normally sells for $239.99. It is now on sale for 25% off. As an employee, Baron is able to save an extra 10% off the sale price. How much, to the nearest dollar, would Baron need to pay for the bicycle?

A $156

B $162

C $174

D $205

43 Look at the number line below.

4321021222324

Which explanation uses the number line to show 3 1 (23) 5 0?

A 3 1 (23) is located a distance of 3 units from 3 in the negative direction.

B 3 1 (23) is located a distance of 3 units from 3 in the positive direction.

C 3 1 (23) is located a distance of 6 units from 3 in the negative direction.

D 3 1 (23) is located a distance of 6 units from 3 in the positive direction.

44 What is the distance between 27 and 9 on a number line?

A 16

B 9

C 7

D 2

STOP


Calculator-Inactive Section

Answer questions 45–65 on your answer sheet. You may NOT use a calculator.

45 The equation n 5 0.33c models the relationship between degrees Celsius, c, and degrees Newton, n.

Which table correctly relates degrees Celsius to degrees Newton?

c n

5 1.55

15 4.65

25 7.75

c n

5 1.65

15 4.95

25 8.25

c n

5 1.75

15 5.25

25 8.75

c n

5 1.85

15 5.55

25 9.25

A B C D

46 At a birthday party, there will be 1 gallon of fruit punch for every 8 guests.

Which equation could be used to find p, the number of gallons of fruit punch, if g, the number of guests, is known?

A p 5 8g

B p 5 8 } g

C p 5 g

} 8

D p 5 g 1 8

Go On


47 As part of a group exercise, four students each randomly selected 3 cards with angle measures written on them. The table shows the results.

Name Angle Measures

Aisha 1008, 908, 1708

Aella 608, 258, 958

Andrew 358, 358, 358

Ah Lam 908, 608, 458

Which student selected angle measures that could form a triangle?

A Aella

B Aisha

C Ah Lam

D Andrew

48 According to a weather report, there is a 5% chance of snow in the mountains tomorrow. Which word best describes the likelihood of snow in the mountains tomorrow?

A unlikely

B likely

C certain

D impossible

49 What is the result of adding 22.9a 1 6.8 and 4.4a 2 7.3?

A 7.3a 1 14.1

B 2.5a 2 1.5

C 1.5a 1 0.5

D 1.5a 2 0.5


50 Iba constructed nABC in her notebook. ··· AB was 12 centimeters long. ··· BC was 10 centimeters long. Which measurement could be the length of ··· AC ?

A 24 cm

B 23 cm

C 22 cm

D 21 cm

51 The graph below shows Jason’s earnings based on the number of hours he works.

Earn

ing

s (d

olla

rs)

Number of Hours Worked

50

20

15

10

5

0 2 5 76 81 43

40

45

35

30

25

JASON’S EARNINGS

What point on the graph represents Jason’s hourly pay rate?

A (0, 0)

B (1, 15)

C (2, 30)

D (3, 45)

Go On


52 Which expression is equivalent to 23(26b 1 5)?

A 218b 2 15

B 26b 1 15

C 6b 1 15

D 18b 2 15

53 A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 72 passenger cars, 15 light trucks, and 13 heavy trucks.

Which spinner could be used to best model the type of vehicle that will cross the bridge next?

HeavyTruck

LightTruck

PassengerCar

HeavyTruck

LightTruck

PassengerCar

A C

HeavyTruck

LightTruck

PassengerCar

HeavyTruck

LightTruck

PassengerCar

B D


54 Suppose the cone shown is sliced by a plane.

Which statement is correct?

A If the plane is parallel to the base, the resulting figure is a triangle only if the plane passes through the tip of the cone.

B If the plane is perpendicular to the base, the resulting figure is a triangle only if the plane passes through the tip of the cone.

C If the plane is parallel to the base, the resulting figure is a triangle, regardless of whether or not the plane passes through the tip of the cone.

D If the plane is perpendicular to the base, the resulting figure is a triangle, regardless of whether or not the plane passes through the tip of the cone.

Go On


55 Ra’fah drew a diagram on a piece of paper with the dimensions shown below. He places the paper outside during a light rain.

25 cm

15 cm

6 cm

10 cm

What is the approximate probability that a raindrop that lands on the paper will fall outside the shaded region?

A 16%

B 40%

C 60%

D 84%


56 The line plots below show the lengths of 6 boys’ feet and 6 girls’ feet in Manuel’s class.

8.5 9.5 10.5 11.5 127.5 8 9 10 117

XX XX X X

inches

BOYS’ FOOT LENGTHS

8.5 9.5 10.5 11.5 127.5 8 9 10 117

XX XX XX

inches

GIRLS’ FOOT LENGTHS

How does the difference in the means of the two data sets compare to the mean absolute deviation, which is the same for both data sets?

A The difference in the means is 2 } 3 the mean absolute deviation.

B The difference in the means is 3 } 4 the mean absolute deviation.

C The difference in the means is 4 } 3 the mean absolute deviation.

D The difference in the means is 3 } 2 the mean absolute deviation.

57 At 3 Pm, the outside temperature was 48F. The temperature then fell steadily by 28F every hour for the next four hours. What was the temperature at 7 Pm?

A 88F

B 48F

C 248F

D 288F

Go On


58 Ofelia is typing an essay on her computer. She typed 3 } 5 of a page in 1 }

5 hour. At this rate, how

long would it take her to type a full page?

A 1 } 5 hour

B 1 } 3 hour

C 3 hours

D 5 hours

59 Which table shows a proportional relationship between x and y?

x y

7 17

8 18

9 19

x y

7 21

8 24

9 27

x y

7 49

8 64

9 81

x y

7 14

8 24

9 36

A B C D

60 Suppose the rectangular prism shown is sliced by a plane passing from the top of the prism down though exactly one of its side edges.

Which is the resulting figure?

A a square

B a triangle

C a rectangle

D a trapezoid


61 Hao has a lemonade stand. The graph shows the amount of money he earns for the cups of lemonade he sells.

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10

y

x

Cups of Lemonade

Earn

ing

s ($

)

LEMONADE STANDEARNINGS

(0, 0)

What does the point (0, 0) mean?

A Hao will not make any money if no cups of lemonade are sold.

B Hao will not make any money if one cup of lemonade is sold.

C Hao will make $0 for each cup of lemonade sold.

D Hao will make $1 for each cup of lemonade sold.

Go On


62 Which graph shows a proportional relationship between x and y?

201816141210

8642

2 4 6 8 10 12 14 16 18 200

y

x

(2, 16)

(4, 4)(8, 2)

201816141210

8642

2 4 6 8 10 12 14 16 18 200

y

x(0, 2)

(4, 4)

(8, 12)

A C

201816141210

8642

2 4 6 8 10 12 14 16 18 200

y

x(4, 0) (6, 2)

(12, 8)

201816141210

8642

2 4 6 8 10 12 14 16 18 200

y

x

(12, 3)(8, 2)

(16, 4)

B D


63 Charlie, Toni, Madison, and Jordan are the 4 finalists in the school spelling bee. Which tree diagram shows the ways that the students can finish first and second in the spelling bee?

A

Toni

Charlie Madison Jordan

Charlie

Toni Madison Jordan

Madison

Toni JordanCharlie

Jordan

Toni MadisonCharlie

B

Toni

Toni

Charlie

Charlie

Madison

Madison

Jordan

Jordan

C

Toni

Madison Jordan

Charlie

Madison Jordan

Madison

Toni Charlie

Jordan

Toni Charlie

D

Toni

JordanCharlie MadisonToni

Charlie


Madison


Jordan



64 Sakiya surveyed students in her school about their favorite sports. On Monday, she randomly surveyed 85 students in the cafeteria. On Tuesday, she surveyed 15 of her teammates on the school soccer team. Which statement best describes the samples Sakiya used?

A Neither sample represents the school population.

B Both samples represent the school population.

C The data gathered on Monday most likely represent the school population, but the data gathered on Tuesday most likely do not.

D The data gathered on Tuesday most likely represent the school population, but the data gathered on Monday most likely do not.

65 Sarah used 3 } 4 pound of blueberries to make 1 }

2 cup of jam. How many pounds of blueberries

would she need to make a cup of jam? Write your answer as an improper fraction. Record

your answer and fill in the bubbles on your answer document. Be sure to use the correct

place value.

STOP

Ready® North Carolina—Mathematics Assessments, Grade 7 Answer Form

Name

Teacher Grade

School City

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©Curriculum Associates, LLC Copying is not permitted.98 North Carolina Assessment 1 and 2

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Ready® North Carolina—Mathematics Assessments, Grade 7 Answer Form

Name

Teacher Grade

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17. A B C D

18. A B C D

19. A B C D

20. A B C D

21. A B C D

22. A B C D

23. A B C D

24. A B C D

25. A B C D

26. A B C D

27. A B C D

28. A B C D

29.

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30. A B C D

31. A B C D

32. A B C D

33. A B C D

34. A B C D

35. A B C D

36. A B C D

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