1. Joan has a photo that is 4 inches wide and 6 inches long. She is enlarging the photo by a scale of 1 to 2.5. What is the new measure of the length?
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1 1. Joan has a photo that is inches wide and 6 inches long. She is enlarging the photo by a scale of 1 to.5. What is the new measure of the length? 8.5 inches 9.0 inches 10.0 inches 15.0 inches. Jon is taking a trip. He measures the distance of his trip on a map as 1 inches. The scale on the map is 1 inch = 50 miles. What is the total distance of Jon s trip? 0 miles 5.5 miles miles 15 m 3. Lee built a scale model of his car. The model was 3 inches long. The scale from the model to Lee s car was 1 to 60. What was the length of Lee s car? 0 inches 57 inches 63 inches 180 inches. model of a statue is 10 inches tall. The scale factor of the model to the actual statue is 5 inches = 8 feet. How tall is the actual statue? 16 feet 3 feet 80 feet 00 feet
2 5. Rosa made a scale drawing of the front of a rectangular building. The height of the building in her drawing is inches and the width is 8 inches. The scale from the drawing to the building is 1 inch to 1 feet. What is the actual height of the building? 3 feet 16 feet 8 feet 96 feet 6. Jarrett s homework assignment is to draw a floor plan of his rectangular bedroom to scale. His bedroom is 10 feet wide and 1 feet long. The scale factor from Jarrett s drawing to his bedroom is 1 inch = feet. What is the length of Jarrett s bedroom in the floor plan? 7 inches 1 inches 16 inches 8 inches 7. The triangles shown below are similar x The scale factor from the large triangle to the small triangle is 3:1. What is the length of side x of the smaller triangle?
3 8. Mark designed a kite for his art project. His scale drawing is shown below. 1 1 inches 1 SLE inch represents 6 inches Using the scale given, what is the height, in inches, of the actual kite? 9. arlos made a scale model of his house. The actual width is 30 feet, and the actual length is 5 feet. If the model has a width of 6 inches, what is the length of his model? inches 5 inches 7 inches 9 inches 10. nita has a map with a scale of 1 inch = 15 miles. nita measures the distance from her home to her grandmother s home on her map to be 3 inches. What is the distance, in miles, from nita s home to her grandmother s home?
4 11. Sara studied a map that showed the routes people followed to explore and settle in Kentucky during the 1700s. The scale on the map showed that 1 inch represents 5 miles. On the map, Sara measures the length of the Wilderness Road to be inches. ased on Sara s measurement, how long was the Wilderness Road, in miles? map uses the scale 1.5 cm = 30 miles. The cities of Pineview and Oakwood are 90 miles apart. How far apart are Pineview and Oakwood on the map? 3.15 cm.5 cm 31.5 cm 13. n architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 18 feet by feet. What will be the dimensions on the blueprint?. inches by 3. inches 10.5 inches by 16.5 inches 11.5 inches by 15 inches 135 inches by 180 inches
5 1. Juanita drove from Rochester to uluth. The scale on the map shows that 1 inch equals 1 miles. If the distance between the two cities is 19 inches on the map, how many miles will Juanita travel? 8 miles 11 miles 56 miles 91 miles 15. Jesse used a scale factor to make a map of his backyard on a page in his notebook. The distance from his back door to a garden fence is 5 feet. On his map the same distance is represented by 1 inch. What distance on his map represents 10 feet? 50 inches 5 inches.5 inches 0. inches 16. The Wright brothers airplane, Flyer, had a wingspan of 8 inches. arlos bought a model of the airplane. The model used a scale factor of 1 0. What is the wingspan of the model? 1 19,360 inches 1.1 inches 11 inches 19,360 inches
6 17. scale drawing for a construction project uses a scale of 1 inch = feet. The dimensions of the rectangular family room on the scale drawing are 7.5 inches by 1 inches. What will be the actual area of the floor of the family room after the construction project is completed? 90 square feet 156 square feet 360 square feet 10 square feet 18. On a map, the distance between two towns is 3 inches. The actual distance between the towns is 380 miles. What is the scale of the map? 1 inch = 60 miles 1 inch = 70 miles North arolina EOG 1 inch = 80 miles 009, problem # 1 inch = 90 miles 19. blueprint of a house has a scale of 1 inch = 3 1 feet. If a room has a length of 1 feet, how long would it be on the blueprint? 3 1 inches 6 inches North arolina EOG 9 inches 009, problem #0 1 inches
7 0. On a road map, the distance from Salem to Lancaster is 1 inches. The map scale shows 1 inch equals 30 miles. What is the distance in miles from Salem to Lancaster? 135 miles 8 1 miles North arolina EOG 67 1 miles 009, problem # miles 1. The scale drawing of a rectangular room has a length of 18 inches and a width of 1 inches. If the scale for the drawing is 1 inch = 1 feet, what is the perimeter of the actual room? 60 feet 75 feet North arolina EOG 10 feet 009, problem #7 150 feet. had built a scale model of a statue. He built the model 7 inches tall to represent the actual height of 15 feet. Which equation below represents the relationship between the actual height (a), in feet, and the height of the model (m), in inches? a = 7 15 m m = 7 a 15 N.. ommon ore EOG a = 0.75m 013, problem #3 m = 0.75a
8 3. rett made a scale drawing of a rectangular room in his house. The actual length of the room is 1 ft. The scale used to make the drawing 5 was 1 in. = 1 ft. What is the length, in inches, of the room on the drawing? N.. ommon ore EOG 013, problem #1. Laurie will draw a scale model of the garden she wants to plant. Her scale will be 1 cm =.5 ft. cm 8.5 cm What will be the actual dimensions of Laurie s garden? 1.6 ft by 3. ft ft by 3 ft N.. ommon ore EOG 8 ft by 3 ft 013, problem #3 10 ft by 1.5 ft 5. On a drawing of a house, the length of the living room is 3.5 inches. The scale of the drawing is 1 inch : feet (ft). What is the actual length of the living room? 1.3 ft 7.5 ft ft 1.77 ft
9 6. n architect designed an 8-story apartment building that was to be 18 feet high. He made a model of the building using a scale of 3 inch = 1 foot. How high was the model? 96 inches 171 inches 1,15 inches 1,536 inches 7. Lindy is planning to build a model of a train using a scale where inches represents 5 feet. If the train is 60 feet long, what is the length in inches that Lindy should build the model of the train? 9.6 in.. in..8 in. 1. in. 8. Patrick drew a map of his neighborhood. He used a scale in which 1 inch equals miles. What distance on Patrick s map should represent the 1.5 miles between his house and the nearest gas station? 0.3 in in. 1.3 in. 3 in.
10 9. Jerri was looking at a map with the following scale indicator. 1 inch = 3 miles Jerri measured 3 1 inches between two towns on the map. What is the 8 distance in miles between the two towns? 18 3 miles miles miles 1 mile 30. Mike is making a scale model of his favorite car. The actual car is 8 feet long and feet wide. Mike wants his model to be 1 inches in length. Which could be used to find the width of his model if he uses the same ratio? 8 = 1 x 8 = x = x 1 8 = x
11 31. Ralph s map of Virginia each uses a scale of 1 inch for every 7 miles. Ralph runs a distance of 13. miles from his house in Virginia each every weekend. Which is closest to the number of inches needed to represent this distance on Ralph s map? 7. inches 7.0 inches 6. inches 1.9 inches 3. company designed two rectangular maps of the same region. These maps are described below. Map 1: The dimensions are 8 inches by 10 inches. The scale is 3 mile to 1 inch. Map : The dimensions are inches by 5 inches. Which ratio represents the scale on Map? 1 mile to 3 inch 3 mile to 1 inch mile to 1 inch mile to 1 inch
12 33. The actual distance from a post office to an elementary school is 16.5 miles. city map uses a scale of 1 inch represents 15 miles. Which of these best represents the distance, in inches, on the map between the post office and the elementary school?
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Huntersville Elementary School North Carolina Published by TE21, Inc. December 2015
q Student Name: 2015-2016 5 th Grade Math 1 st enchmark Huntersville Elementary School North arolina Published by TE21, Inc. ecember 2015 LL RIGHTS RESERVE This publication cannot be shared, duplicated,
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Name: Date: 1. Ethan is making a necklace. He has only 16 glass beads. He wants to know all the factors of 16 so he can create a longer necklace with a pattern of the glass beads and gold spacers he has.
36y - 36 = 6(_?_) n 1 3 5
1 Which expression makes the equation true for all values of x? A 30y - 30 B 6y - 36 C 6y - 6 D 3y - 3 36y - 36 = 6(_?_) 2 Simplify the following expression: 4 5 3 n + 6n + 2 n 8 5 1 2 n 1 3 5 3 A triangle