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7.G.1 [551737] Stude nt Class Date Read the following and answer the questions below: Lisa's Garden Lisa's Garden Lisa wants to grow her own fruits and vegetables, so she has decided to plant a garden in her backyard. Before she starts planting, she makes a scale drawing of her plans for the garden. The garden will require a lot of preparation before Lisa can plant any seeds. First, Lisa is going to build a fence around her garden to keep out rabbits and other animals. She will then pull out all of the weeds from the area and add topsoil to the ground where her garden will be. Lisa will cover the area of the garden in a layer of topsoil that is 4 inches deep. The topsoil will improve the texture of the soil and increase the amount of nutrients available to the plants, making it more likely that 7.G.1 Page 1/64

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7.G.1 [551737]

Student

Class

Date

Read the following and answer the questions below:

Lisa's Garden

 

Lisa's Garden

Lisa wants to grow her own fruits and vegetables, so she has decided to plant a garden in her backyard. Before she starts planting, she makes a scale drawing of her plans for the garden.

 

 

The garden will require a lot of preparation before Lisa can plant any seeds. First, Lisa is going to build a fence around her garden to keep out rabbits and other animals. She will then pull out all of the weeds from the area and add topsoil to the ground where her garden will be. Lisa will cover the area of the garden in a layer of topsoil that is 4 inches deep. The topsoil will improve the texture of the soil and increase the amount of nutrients available to the plants, making it more likely that they will thrive.

 

Lisa has decided to plant a variety of fruits and vegetables in her garden. She plans to divide the garden into rows and plant seeds from only one kind of plant in each row. Different kinds of plants will be grown in different numbers of rows and will require a different number of seeds for each row. Lisa has created a table to show her plans for the garden.

 

 

Lisa also intends to build a shed next to her garden to store her tools and garden supplies. The shed will be a rectangular prism with the dimensions as shown in her diagram below.  

 

 

The shed will be made from wood and will have one door, which will be 5 feet tall and 3 feet wide. Lisa is going to paint the outside walls, the door, and the roof of the shed with a paint that will protect it from the weather. The paint she is using covers 50 square feet per quart of paint.

 

Lisa feels confident that all of her planning will help create a garden that will supply her with fresh fruits and vegetables all summer long.  

 

1.

Read "Lisa's Garden" and answer the question.

Lisa needs to determine the perimeter of her garden so she will know how much fence she will need to build. What is the perimeter of Lisa’s garden in feet (ft)?

/files/assess_files/af90e8cd-786c-4adc-a6f4-07a07c7d6c9f/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

  30 ft

 

 

B.

  38 ft

 

 

C.

120 ft

 

 

D.

608 ft

 

 

 

Read the following and answer the questions below:

Building a Tepee

 

Building a Tepee

Tim and Jamila’s class is learning about the Plains Indians, the Native Americans who lived in the Great Plains of North America. There were many different tribes living in the Plains, including the Blackfoot, Cheyenne, and Lakota Sioux.

The Plains Indians were dependent on bison, also known as buffalo, for many aspects of their lifestyle. In addition to hunting the bison for food, they used the bison’s hides to make clothes and shelter and their bones to make tools.

Some of the tribes were nomadic, meaning they had no fixed home and traveled as a group, often to follow herds of bison. Other tribes lived in villages and farmed the land as well as hunting bison.

Originally, the Plains Indians traveled by foot because there were no horses in North America. However, when Europeans came to North America, they brought horses with them, and the animals became part of the Plains Indians’ culture. The horses allowed the tribes to travel greater distances to hunt bison and made it easier for them to transport their belongings.

Many of the tribes lived in dwellings called tepees. Tepees were tents in the shape of cones and were usually made from skins of animals, such as bison, and wooden poles.

Tepees were useful for a variety of reasons. They were sturdy structures that could be taken down, moved, and put back up very easily. This meant that they were ideal housing for people who move from place to place. Also, they provided shelter from rain, retained warmth in the winter, and kept relatively cool in the summer heat. An image of a traditional tepee is shown below.

 

 

As part of their school activities, Tim and Jamila are making a tepee, which they will put up in the schoolyard. To make the tepee cover, they first will cut out a large semicircle from a big piece of canvas. They made a scale drawing of the tepee cover, as shown below.

 

 

After cutting out the semicircle, Tim and Jamila will decorate the tepee by painting it with traditional Native American designs.

The tepee will be supported by several poles. The poles are made from bamboo and will be 14 feet long. Two of the poles will be placed directly across from each other at the base of the tepee. Each pole will form a 48-degree angle with the ground. The poles will meet at the top of the tepee, where they will be tied together.

Tim and Jamila are excited to learn about Native American culture and are looking forward to showing their classmates the tepee they build.

 

2.

Read “Building a Tepee” and answer the questions.

 

For the tepee cover, Tim and Jamila are going to use a fabric that costs $1 for every 4 square feet.

 

Part A. What is the area of the tepee cover in square feet?

 

Part B. How much will the fabric needed for the cover cost?

 

Use words, numbers, and/or pictures to show your work.

 

/files/assess_files/ee08a801-aeea-46e6-a456-53720b34f306/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

 

 

 

3.

A scale drawing of a living room is shown below. The scale used to create this drawing is 1 in. = 2 ft.

What is the area of the actual living room? 

 

 

 

A.

 36 ft2

 

 

B.

 64 ft2

 

 

C.

120 ft2

 

 

D.

144 ft2

 

 

 

4.

A map has a scale of 1 cm = 20 miles. If a county is 90 miles wide, how wide is the county on the map?

 

 

A.

2.5 cm

 

 

B.

4.2 cm

 

 

C.

4.5 cm

 

 

D.

18.0 cm

 

 

 

5.

A room on a scale drawing has the dimensions 8 cm by 12 cm. The scale of the drawing is 2 cm = 3 ft. What are the actual dimensions of the room?

 

 

A.

5 ft by 8 ft

 

 

B.

12 ft by 18 ft

 

 

C.

24 ft by 36 ft

 

 

 

6.

A scale drawing of a soccer field is shown below.

 

What is the area, in square yards, of the actual soccer field?

 

 

A.

  1.25 yd2

 

 

B.

  250 yd2

 

 

C.

  3,125 yd2

 

 

D.

  5,000 yd2

 

 

 

7.

Peter represents the living room and kitchen of his house using the scale model shown below. One inch in the scale model corresponds to a length of 10 feet in the actual room.

Use the diagram above to help answer the questions below.

Part A. What are the dimensions of the actual kitchen?

Part B. What is the scale factor of the model?

Part C. Find the actual area of the kitchen. Describe how the scale or the scale factor can be used to determine the area of the actual kitchen.

 

Part D. Can a rectangular table that is 5 ft long and 3 ft wide fit into the narrower section of the living room?

Use words, numbers, and/or pictures to show your work.

/files/assess_files/807c4904-e394-4e34-8fcd-b9e4a7c309ec/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

 

 

 

8.

The distance between two cities on a map is 4 inches. The scale on the map is 3 inches = 165 miles.  A student incorrectly determines that the distance between the two cities is 660 miles. Which sentence describes the student’s mistake?

 

 

A.

  The student did not multiply 660 by 3.

 

 

B.

  The student did not divide 660 by 3.

 

 

C.

  The student did not multiply 660 by 4.

 

 

D.

  The student did not divide 660 by 4.

 

 

 

9.

The scale on a set of blueprints of a house is 1 in. = 3 ft. On the blueprint, one of the bedrooms measures 3.75 in. wide and 4.5 in. long. What is the perimeter of the actual bedroom?

 

 

A.

16.5 ft

 

 

B.

24.75 ft

 

 

C.

49.5 ft

 

 

D.

50.63 ft

 

 

 

10.

A scale drawing that Fred created had a scale of 1 in. = 2 ft. The actual length of his rectangular shaped room measures 13 ft. What is the length of his room on the drawing?

 

 

A.

6.5 in.

 

 

B.

13 in.

 

 

C.

16 in.

 

 

D.

26 in.

 

 

 

11.

David is building a scale model of a railroad station near his house. His scale is 1 in. = 12 ft. The actual station is 540 ft long. What is the length of the model of the railroad station?

 

 

A.

50 ft

 

 

B.

45 ft

 

 

C.

42 ft

 

 

 

12.

A 600-ft tall building is represented by a 30-in. tall model. Using the same scale, what would be the model size of a 380-ft tall building?

 

 

A.

15 in.

 

 

B.

17 in.

 

 

C.

19 in.

 

 

D.

21 in.

 

 

 

13.

The figure below shows a scale diagram Sarah drew of the patio of her house. The actual length of the patio is 17.5 feet.

Part A. What was the scale Sarah used to draw the patio?

 

Part B. What is the actual width of the patio?

 Part C. If Sarah had used the scale what would have been the length and width of her scale drawing?

 

Use words, numbers, and/or pictures to show your work.

/files/assess_files/205a5039-a92f-43c6-a982-0ae049053b4e/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

 

 

 

14.

An architect created a scale model of a building she designed, as shown below.

The ratio of the scale model to the actual building is 2 inches (in.) to 15 feet (ft). What is the width of the actual building?

 

 

A.

 

 

B.

 

 

C.

 

 

D.

 

 

 

15.

Gina is traveling to the beach 20 miles away from her house. On Gina’s map, her house and the beach are 4 inches apart. What is the scale used for Gina’s map?

/files/assess_files/f866f565-1800-4da3-a02d-f5927fda9e5c/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

 

 

B.

 

 

C.

 

 

D.

 

 

 

16.

The floor plan for a home has a scale of 0.25 inches = 1 foot (ft). On the floor plan, one rectangular room measures 1.5 inches by 2.25 inches. What is the area of the actual rectangular room?

 

 

A.

  13.5 ft2

 

 

B.

  15 ft2

 

 

C.

  30 ft2

 

 

D.

  54 ft2

 

 

 

17.

On this map, the distance from Raleigh to Wilson is 4 inches.

What is the scale of the map?

 

 

 

A.

1 inch = 10 miles

 

 

B.

1 inch = 40 miles

 

 

C.

1 inch = 80 miles

 

 

 

18.

Sarah made a scale drawing of a dinosaur.

· She made the height of the dinosaur  inches.

· The actual height of the dinosaur is 9 feet.

What scale did Sarah use for her drawing?

 

 

 

A.

1 in. = 3.6 ft

 

 

B.

1 in. = 4.5 ft

 

 

C.

1 in. = 18 ft

 

 

D.

1 in. = 22.5 ft

 

 

 

19.

Andy used a scale of  inch = 2 feet for a drawing of his house. On the drawing, a rectangular room measures  inches by  inches. Andy wants to purchase new carpet for the room that costs $4.89 per square foot. Before sales tax, how much will the new carpet cost?

 

 

A.

$47.07

 

 

B.

$188.27

 

 

C.

$376.53

 

 

D.

$753.06

 

 

 

20.

Mrs. Barron’s kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 6 inches by 4 inches. The scale of the drawing is  inch = 1 foot. What is the perimeter of Mrs. Barron’s actual kitchen?

 

 

A.

12 feet

 

 

B.

20 feet

 

 

C.

24 feet

 

 

D.

40 feet

 

 

 

21.

A Stegosaurus skeleton at a museum has a height of 4 meters. The gift shop at the museum sells a model of the Stegosaurus. The scale used to create the model was 1 cm = 0.16 m. What is the height, in centimeters, of the model of the Stegosaurus the gift shop sells?

 

 

A.

  0.04 m

 

 

B.

  0.064 m

 

 

C.

  20 cm

 

 

D.

  25 cm

 

 

 

22.

Jacob made a drawing of his land using a scale 1 inch = 14 yards. The actual length of his land is 84 yards long. What is the length of Jacob’s land in the drawing?

 

 

A.

6 inches

 

 

B.

28 inches

 

 

C.

70 inches

 

 

D.

98 inches

 

 

 

23.

The scale model of a building is 16 in. tall. The scale of the model is 1 in. = 50 ft. What is the actual height of the building?

 

 

A.

800 ft

 

 

B.

750 ft

 

 

C.

65 ft

 

 

 

24.

A map has a scale of 1 cm = 5 km. On the map, two cities are 3 cm apart. What is the actual distance between these cities?

 

 

A.

1.7 km

 

 

B.

5 km

 

 

C.

15 km

 

 

D.

17 km

 

 

 

25.

A map has a scale of 0.5 inches = 10 miles. The distance between two cities is 50 miles. What is the distance between these cities on the map?

 

 

A.

2.5 inches

 

 

B.

5 inches

 

 

C.

10 inches

 

 

 

26.

Jane made a scale drawing of a house where

 

 

If she wants to change the scale to what would her new scale drawing look like?

/files/assess_files/840ea189-0c07-45a2-a37d-a4d7e14c5541/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

 

 

B.

 

 

C.

 

 

D.

 

 

 

27.

A builder made a scale drawing of a rectangular room. The drawing has a length of 6 inches and a width of 4.5 inches. The actual room will have a length of 18 feet. What will be the area of the actual room?

 

 

A.

243 square feet

 

 

B.

260 square feet

 

 

C.

432 square feet

 

 

D.

486 square feet

 

 

 

28.

A scale drawing of a room used a scale of 2.75 inches = 5 feet. An object is 4 inches long in the drawing. What is the approximate length of the actual object?

 

 

A.

13.8 feet

 

 

B.

7.3 feet

 

 

C.

6.3 feet

 

 

D.

2.2 feet

 

 

 

29.

Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long, what is its width, in inches?

/files/assess_files/d8092c37-ce4f-47ab-95d2-d02f4ef3d07f/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

14

 

 

B.

16

 

 

C.

25

 

 

D.

26

 

 

 

30.

An engineer creates a scale drawing of a storage tower that is a right cylinder as shown below.

For the actual storage tower, the diameter is 16 feet and the height is 45 feet. What is the height, x, of the storage tower in the scale drawing?

 

 

A.

45 in.

 

 

B.

22.5 in.

 

 

C.

11.4 in.

 

 

D.

4.5 in.

 

 

 

31.

The actual distance between Mike’s house and John’s house is 28 km. On a map, the distance between the two houses is 3.5 cm. What is the scale used on this map?

 

 

A.

2 cm = 7 km

 

 

B.

2 cm = 5 km

 

 

C.

1 km = 8 cm

 

 

D.

1 cm = 8 km

 

 

 

32.

On a map, the scale is 1 cm = 8 miles. The actual distance between two cities is 256 miles. What is the distance between these cities on the map?

 

 

A.

2.56 cm

 

 

B.

2.8 cm

 

 

C.

3.2 cm

 

 

D.

32 cm

 

 

 

33.

Jamie drew a map of Wyoming, Colorado, and Utah, as shown below.

 

 

 

She then drew a larger version of the map using a ratio of 3 to 5.

 

Part A  The length of Wyoming’s northern border is 4 centimeters (cm) on the larger map. To the nearest tenth of a centimeter, what was the length of Wyoming’s northern border, x, on Jamie’s original map? Show or explain your work.

 

Part B  Jamie drew Colorado as a rectangle. What is the area of Colorado on the larger map? Determine all side lengths and the area to the nearest tenth of a centimeter. Show or explain your work.

 

 

 

 

 

34.

A scale drawing for a room is shown. In the drawing,

What are the dimensions of the room?

 

 

A.

ft by 7 ft

 

 

B.

ft by 9 ft

 

 

C.

10 ft by 14 ft

 

 

D.

11 ft by 14 ft

 

 

 

35.

On a road map, the distance from City A to City B is 4 inches. The map scale is 1 inch = 20 miles. What is the actual distance, in miles, between City A and City B?

/files/assess_files/5590277d-2386-4125-9849-e4b95df057d6/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

5 miles

 

 

B.

24 miles

 

 

C.

48 miles

 

 

D.

80 miles

 

 

 

36.

Jill’s room is 12.5 feet long and 11.5 feet wide. She made a scale drawing of the room with a scale of 0.5 inch = 2 feet. What is the perimeter of Jill’s room in the drawing?

 

 

A.

12 inches

 

 

B.

24 inches

 

 

C.

48 inches

 

 

D.

96 inches

 

 

 

37.

The scale drawing of a swimming pool is shown below. The drawing used a scale of 1 in. = 3 ft.

What is the perimeter of the actual swimming pool?

 

 

A.

11 ft

 

 

B.

33 ft

 

 

C.

66 ft

 

 

 

38.

Mr. Cagle is planning a new rectangular garden. The garden will be 16 feet (ft) long, and the width will be equal to one half of the length. 

 

· Make a scale drawing of the garden in the grid below. Let each unit in the grid represent a 2-ft-by-2-ft square in the garden.

· What is the area of the garden you drew, in square units?

· What is the area of the actual garden? 

 

Use words, numbers, and/or pictures to show your work. Write your answer(s) on the paper provided.

/files/assess_files/656214a5-6f80-4e4b-9c7f-329410d51170/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

 

 

 

39.

Two students created models of the same building. One student used a scale factor of 3 centimeters (cm) = 15 meters (m). The second student used a scale factor of 4.5 = 15 m. The height of the original building is 20 meters. What is the difference between the heights of the two students’ models?

 

 

A.

  1.5 cm

 

 

B.

  2 cm

 

 

C.

  6.5 cm

 

 

D.

  33 cm

 

 

 

40.

Mike built a model of a 40-ft building using a scale of 5 ft = 2 cm. What is the height of the model?

 

 

A.

8 cm

 

 

B.

16 cm

 

 

C.

50 cm

 

 

D.

100 cm

 

 

 

41.

On a map, the distance between two cities is 4.3 centimeters. If the map scale is 1 cm = 25 km, what is the actual distance between these cities?

 

 

A.

5.8 km

 

 

B.

69.7 km

 

 

C.

107.5 km

 

 

D.

430.0 km

 

 

 

42.

Heidi used a scale of in. = 1 ft for a drawing of her bedroom. In her drawing, the bedroom measures  in. by  in. What is the area of Heidi’s actual bedroom?

 

 

A.

ft2

 

 

B.

 ft2

 

 

C.

ft2

 

 

D.

ft2

 

 

 

43.

A scale drawing of a rectangular park is shown below.

The ratio of the scale drawing to the actual park is 2 inches (in.) to 25 yards (yd). What are the dimensions of the park?

 

 

A.

20 yd by 25 yd

 

 

B.

60 yd by 80 yd

 

 

C.

75 yd by 100 yd

 

 

D.

150 yd by 200 yd

 

 

 

44.

Both bedrooms in the drawing below are square.

What is the area of Bedroom 1?

 

 

 

A.

24 feet2

 

 

B.

48 feet2

 

 

C.

144 feet2

 

 

 

45.

A photograph was reduced using the scale factor of The original photograph was 9 inches wide and 12 inches long. Which proportion could be used to find w, the width of the reduced photograph?

 

 

A.

  

 

 

B.

  

 

 

C.

  

 

 

D.

  

 

 

 

46.

Natasha stands 5.5 feet tall and has a shadow that measures 3 feet long. At the same time, a tree next to Natasha has a shadow that measures 12 feet long. How tall is the tree?

 

 

A.

7 feet

 

 

B.

15 feet

 

 

C.

22 feet

 

 

 

47.

In a scale drawing, a window has a width of 2 cm and a height of 3 cm. Using a scale of 1 cm = 12 in., what is the actual height of the window?

 

 

A.

4 in.

 

 

B.

36 in.

 

 

C.

72 in.

 

 

 

48.

A 10-ft tree makes an 18-ft shadow. About how tall is a person who makes a 12-ft shadow at the same time?

 

 

A.

4.0 ft

 

 

B.

6.7 ft

 

 

C.

12.9 ft

 

 

D.

15.0 ft

 

 

 

49.

Lena made a scale drawing of her yard, as shown below.

 

According to the drawing, what is the perimeter of Lena’s yard in meters?

/files/assess_files/9359edc8-2fc4-4bca-a9b6-4eaff984a0a2/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

170 m

 

 

B.

85 m

 

 

C.

54 m

 

 

D.

44 m

 

 

 

50.

On a map, the scale is 1 inch = 15 miles. On the map, the distance between two cities is 10 inches. What is the actual distance between these cities?

 

 

A.

10 miles

 

 

B.

15 miles

 

 

C.

100 miles

 

 

D.

150 miles

 

 

 

51.

Abby drew a map of her rectangular bedroom.

 

 

 

Abby drew a larger version of the map using a ratio of 1 to 4.

 

Part A  The length of Abby’s bed is 6 inches on the larger map. In inches, what is the length of the bed, x, on Abby’s original map?

 

Part B  In square inches, what is the area of Abby’s bedroom on the larger map?

 

Part C  The area of Abby’s rug is 0.4375 square inches on the original map.  In square inches, what is the area of Abby’s rug on the larger map?

 

 

 

 

 

52.

The scale on a map is 1 inch =  miles. The distance between two streets on the map is  inches. What is the actual distance between these streets?

 

 

A.

 miles

 

 

B.

 miles

 

 

C.

 miles

 

 

D.

 miles

 

 

 

53.

The dimensions of a room measure 12 ft by 9 ft. In a scale drawing of the room, 1 in. = 3 ft. What are the dimensions of the room in the drawing?

 

 

A.

4 in. by 3 in.

 

 

B.

4 in. by 12 in.

 

 

C.

15 in. by 12 in.

 

 

D.

36 in. by 27 in.

 

 

 

54.

On a park map, the distance from a picnic table to the hiking trail is 3 centimeters (cm). The map uses a scale of 2 cm = 150 meters (m).  What is the actual distance from the picnic table to the hiking trail?

 

 

A.

  60 m

 

 

B.

  100 m

 

 

C.

  225 m

 

 

D.

  375 m

 

 

 

55.

Peter drew a scale drawing of his room with a length of 10 inches. The actual length of his room is feet. The actual length of his desk is 40 inches. Approximately what is the length of the desk in the drawing?

 

 

A.

in.

 

 

B.

in.

 

 

C.

in.

 

 

D.

in.

 

 

 

56.

Jimmy made a scale drawing of his house. The actual dimensions of his house are 50 feet by 100 feet. He used the scale 1 inch : 10 feet. What are the dimensions of Jimmy’s house in the drawing?

 

 

A.

50 inches by 100 inches

 

 

B.

50 inches by 10 inches

 

 

C.

5 inches by 100 inches

 

 

D.

5 inches by 10 inches

 

 

 

57.

A scale drawing of a television is shown.

 

 

If the width of the actual television is 4 feet, which proportion could be used to find the width of the drawing, x, in inches?

 

 

A.

  

 

 

B.

  

 

 

C.

  

 

 

D.

  

 

 

 

58.

Alex created a map of his neighborhood using a scale of 1 inch = 2 blocks. If his street is 6 blocks long, how long will it be on the map?

 

 

A.

2 inches

 

 

B.

3 inches

 

 

C.

6 inches

 

 

D.

12 inches

 

 

 

59.

Emily’s father built a dollhouse, to scale, based on their house. Emily’s room is 12 ft long and 10 ft wide. The same room in the dollhouse is 8.5 in. long. What is the approximate width of Emily’s room in the dollhouse?

 

 

A.

6.5 in.

 

 

B.

7.1 in.

 

 

C.

7.9 in.

 

 

D.

14.1 in.

 

 

 

60.

Karen has a map with a scale of 1 inch = 20 miles. The distance she needs to travel measures  inches on the map. What is the actual distance Karen will travel?

 

 

A.

4 miles

 

 

B.

26 miles

 

 

C.

110 miles

 

 

D.

120 miles

 

 

 

61.

On a scale drawing for a house, the dining room is 3 inches by  inches.

· The scale for the drawing is  inch = 2 feet.

· Flooring costs $2.75 per square foot.

How much will it cost to put new flooring in the dining room?

 

 

 

A.

$115.50

 

 

B.

$143.00

 

 

C.

$303.18

 

 

D.

$462.00

 

 

 

62.

A scale drawing of a building is shown below. The scale of the drawing is 1 cm = 5 m. 

What is the perimeter of the actual building? 

 

 

 

A.

150 m

 

 

B.

115 m

 

 

C.

 30 m

 

 

D.

 23 m

 

 

 

63.

The scale of a model bridge is 1 in. = 30 yd. If the bridge measures 420 yd, what is the length of the model?

 

 

A.

14 in.

 

 

B.

42 in.

 

 

C.

120 in.

 

 

D.

140 in.

 

 

 

64.

The distance on a map from El Paso to Fort Hancock is 2.25 inches.

 

 

 

What is the actual distance between El Paso and Fort Hancock? 

 

 

A.

  9.7 miles

 

 

B.

  24.25 miles

 

 

C.

  44.25 miles

 

 

D.

  49.5 miles

 

 

 

65.

Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?

 

 

A.

9 inches by 15 inches

 

 

B.

15 inches by 25 inches

 

 

C.

40 inches by 70 inches

 

 

 

66.

Heidi has blueprints of her house that use a scale of 1 cm = 2.5 m. The actual distance between two rooms in Heidi’s house measures 28 m. How far apart are these rooms on the blueprint?

 

 

A.

11.2 cm

 

 

B.

25.5 cm

 

 

C.

31 cm

 

 

D.

70 cm

 

 

 

67.

The centimeter (cm) grid shows a drawing of Georgia to scale.

Which number is the best estimate of the length, in miles, of the northern boundary of Georgia?

 

 

A.

60

 

 

B.

90

 

 

C.

150

 

 

D.

300

 

 

 

68.

The scale on a map is 1 inch = 50 miles. The actual distance between two cities is 475 miles. What is the distance between the cities on the map?

 

 

A.

4.75 in.

 

 

B.

8.50 in.

 

 

C.

9.00 in.

 

 

D.

9.50 in.

 

 

 

69.

The distance between two cities is 255 miles. About how far apart are these cities on a map that uses a scale of 1 in. = 50 miles?

 

 

A.

1 in.

 

 

B.

3 in.

 

 

C.

4 in.

 

 

D.

5 in.

 

 

 

70.

A scale drawing of a basketball court is 6.25 in. by 10.5 in. The scale of the drawing is 1 in. = 8 ft. What is the area of the actual basketball court?

 

 

A.

    66 ft2

 

 

B.

  134 ft2

 

 

C.

  525 ft2

 

 

D.

4,200 ft2

 

 

 

71.

Dave’s scale drawing of a tree outside his house is shown below. If 2 centimeters on the scale drawing equal 6 feet on the real tree, what is the actual height of the tree?

/files/assess_files/6c1bd163-85ee-4120-930d-794536c5dfa7/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

13.8 feet

 

 

B.

15.6 feet

 

 

C.

23.4 feet

 

 

D.

46.8 feet

 

 

 

72.

The scale on a map is 1 inch =  miles. If two landmarks on the map are inches apart, what is the actual distance between them?

 

 

A.

mile

 

 

B.

miles

 

 

C.

miles

 

 

D.

miles

 

 

 

73.

The scale for the blueprints for a house is 1 in. = 7 ft. The dimensions of a room on the blueprints are 2.5 in. by 3 in. What is the area of the actual room?

 

 

A.

52.5 ft2

 

 

B.

95 ft2

 

 

C.

315 ft2

 

 

D.

367.5 ft2

 

 

 

74.

Timothy has a drawing of the family room of a house that he is building.

· The drawing shows the family room to be a rectangle 4 cm wide by 6 cm long. 

· The length of the actual family room is 9 m. 

What is the actual area of the family room?

 

 

 

A.

6 m2

 

 

B.

13.5 m2

 

 

C.

54 m2

 

 

D.

121.5 m2

 

 

 

75.

The scale of a porch used in a drawing is 1 in. = 4 ft. The actual length of the porch is ft. What is the length of the porch in the drawing?

 

 

A.

 in.

 

 

 

B.

 in.

 

 

 

C.

 in.

 

 

D.

 in.

 

 

 

76.

A drawing of a car has a scale factor of 1 inch (in.) = 2 feet (ft). A photograph of the same car is the size of the drawing. What is the length of the car window in the photograph if the length of the actual car window is 2.5 feet?

 

 

A.

  0.25 in.

 

 

B.

  0.4 in.

 

 

C.

  10 in.

 

 

D.

  12.5 in.

 

 

 

77.

A scale drawing of Lauren’s house is shown below. A scale of 1 cm = 0.5 m was used to make the drawing.

 

What is the area of the actual living room in Lauren’s house?

 

 

 

A.

22.5 m2

 

 

B.

45 m2

 

 

C.

67.5 m2

 

 

D.

90 m2

 

 

 

78.

A scale drawing of a city plaza in which is shown below.

 To the nearest whole number, what is the area of the actual plaza?

/files/assess_files/8b12cb77-99c6-4437-8ec1-04a19df7bef5/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

  81 square feet

 

 

B.

  81 square inches

 

 

C.

182 square feet

 

 

D.

182 square inches

 

 

 

79.

Taylor made a scale drawing of his room using a scale of 0.25 inch = 1 foot. On the drawing, the length of his room is 3.25 inches and the width is 2.75 inches. What is the area of Taylor’s actual room?

 

 

A.

36 square feet

 

 

B.

48 square feet

 

 

C.

143 square feet

 

 

D.

148 square feet

 

 

 

80.

A scale drawing of a playground is shown below.

 

 

Using this scale, what is the area, in square feet, of the playground?

/files/assess_files/328d39bc-6b58-4cc1-aad3-5dd061ef29ef/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

19,200 square feet

 

 

B.

17,600 square feet

 

 

C.

15,200 square feet

 

 

D.

12,000 square feet

 

 

 

81.

On the map below, City P and City Q are 5.5 centimeters (cm) apart.

What is the actual distance between City P and City Q?

/files/assess_files/130909d8-fb68-4e48-a6e2-4ac97e555971/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

FL-IBTP_Math_Reference_Sheet_Grade_7.pdf

 

 

A.

96.25 miles

 

 

B.

105 miles

 

 

C.

192.5 miles

 

 

D.

385 miles

 

 

 

82.

Elaine drew the model below of her room and bed. The scale of the model is 1 in. = 2 ft.

What is the approximatearea of her actual bed?

 

 

A.

7 ft2

 

 

B.

14 ft2

 

 

C.

24 ft2

 

 

D.

28 ft2

 

 

 

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