1. RATIONS Sixteen students went on akelsoemath.weebly.com/uploads/7/1/7/6/7176020/ch_7... · Ch 7...

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Ch 7 1. RATIONS Sixteen students went on a week-long hiking trip. They brought with them 320 specially baked, protein rich cookies. What is the ratio of cookies to students? Ch 7 2. PHOTOGRAPHS Tracy is 4 ft tall and her father is 6 ft tall. In a photograph, the two are standing side by side. Tracy’s image is 2 inches tall. How tall is Tracy’s father’s image in the photo? Ch 7 3. CARS A car company builds two versions of one of its models a sedan and a station wagon. The ratio of sedans to station wagons is 11:2. A freighter begins unloading the cars at the dock. Tom counts 18 station wagons and then overhears a dock worker call out, “Okay, that’s all the wagonsbring out the sedans.” How many sedans were on the ship? Ch 7 4. MAPS Carlos makes a map of his neighborhood for a presentation. The scale of the map is 1 inch:125 feet. a. How many feet does 4 inches represent on the map? b. Carlos lives 250 feet away from Andrew. How many inches separate Carlos’ home from Andrew’s on the map? Ch 7 5. PANELS When closed, an entertainment center is made of four square panels. The three smaller panels are congruent squares. What is the scale factor of the larger square to the smaller square? Ch 7 6. DOWNSPOUTS During a storm, one of the downspouts on Mr. Herrera’s house was broken and needed to be replaced. Unfortunately, the downspout was too damaged to measure its length and it was too difficult to measure the height of the gutter. Luckily, Mr. Herrera had a scale model of his house. If the downspout in the model was 1 1 2 feet long and the scale factor was 20, how long was the actual downspout? Ch 7 7. ORIGAMI Baxter uses an 8-inch square piece of origami paper to make an origami model of a chicken. When finished, the chicken stands 4 inches high. Baxter wants to make another origami chicken, only this time he wants to make it 12 inches high instead. What size piece of paper should he use to do this? Ch 7 8. ENLARGING Camille wants to make a pattern for a four-pointed star with dimensions twice as long as the one shown. Help her by drawing a star with dimensions twice as long on the grid (on your answer sheet.

Transcript of 1. RATIONS Sixteen students went on akelsoemath.weebly.com/uploads/7/1/7/6/7176020/ch_7... · Ch 7...

Page 1: 1. RATIONS Sixteen students went on akelsoemath.weebly.com/uploads/7/1/7/6/7176020/ch_7... · Ch 7 1. RATIONS Sixteen students went on a week-long hiking trip. They brought with them

                                                                                                         

Ch 7 1. RATIONS Sixteen students went on a week-long hiking trip. They brought with them 320 specially baked, protein rich cookies. What is the ratio of cookies to students?

Ch 7 2. PHOTOGRAPHS Tracy is 4 ft tall and her father is 6 ft tall. In a photograph, the two are standing side by side. Tracy’s image is 2 inches tall. How tall is Tracy’s father’s image in the photo?

Ch 7 3. CARS A car company builds two versions of one of its models – a sedan and a station wagon. The ratio of sedans to station wagons is 11:2. A freighter begins unloading the cars at the dock. Tom counts 18 station wagons and then overhears a dock worker call out, “Okay, that’s all the wagons…bring out the sedans.” How many sedans were on the ship?

Ch 7 4. MAPS Carlos makes a map of his neighborhood for a presentation. The scale of the map is 1 inch:125 feet. a. How many feet does 4 inches represent on the map? b. Carlos lives 250 feet away from Andrew. How many inches separate Carlos’ home from Andrew’s on the map?  

Ch 7 5. PANELS When closed, an entertainment center is made of four square panels. The three smaller panels are congruent squares. What is the scale factor of the larger square to the smaller square?

Ch 7 6. DOWNSPOUTS During a storm, one of the downspouts on Mr. Herrera’s house was broken and needed to be replaced. Unfortunately, the downspout was too damaged to measure its length and it was too difficult to measure the height of the gutter. Luckily, Mr. Herrera had a scale model of his

house. If the downspout in the model was

11

2feet long and the scale factor was 20, how long was the actual downspout?  

Ch 7 7. ORIGAMI Baxter uses an 8-inch square piece of origami paper to make an origami model of a chicken. When finished, the chicken stands 4 inches high. Baxter wants to make another origami chicken, only this time he wants to make it 12 inches high instead. What size piece of paper should he use to do this?

Ch 7 8. ENLARGING Camille wants to make a pattern for a four-pointed star with dimensions twice as long as the one shown. Help her by drawing a star with dimensions twice as long on the grid (on your answer sheet.

 

Page 2: 1. RATIONS Sixteen students went on akelsoemath.weebly.com/uploads/7/1/7/6/7176020/ch_7... · Ch 7 1. RATIONS Sixteen students went on a week-long hiking trip. They brought with them

                                                                           

Ch 7 9. MINIATURES Marla likes her chair so much that she decides to make a miniature replica of it for her pet hamster. Find the value of x.

Ch 7 10. SHADOWS A radio tower casts a shadow 8 feet long at the same time that a vertical yardstick casts a shadow half an inch long. How tall is the radio tower?

Ch 7 11. CARPENTRY Jake is fixing an A-frame. He wants to add a horizontal support beam halfway up and parallel to the ground. How long should this beam be?

Ch 7 12. STREETS In the diagram, Cay Street and Bay Street are parallel. Find x.

 

Ch 7 13. FIREMEN A cat is stuck in a tree and firemen try to rescue it. Based on the figure, if a fireman climbs to the top of the ladder, how far away is the cat?

Ch 7 14. EQUAL PARTS Nick has a stick that he would like to divide into 9 equal pieces. He places it on a piece of graph paper as shown. a. Explain how he can use the grid paper to help him find where he needs to cut the stick. b. Suppose Nick wants to cut the stick into 5 equal pieces using the grid. What can he do?