Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!

1. Triangle ABC is similar to triangle DEF. What is the value of x? Small TriangleBig Triangle Triangle’s Side 35 Triangle’s Base 82x Set up proportions and label Use cross products to solve 3 (2x) = 40 6x = 40 X = … Round to 4.7 Insert value of x for 2x 2 (4.7) = 9.4

2. A photograph 8 inches wide by 10 inches long is scaled to 4.5 inches long in a magazine. What is the width of the published picture? Photo #1Photo #2 Wide 84.5 Long 10x Set up proportions and label Use cross products to solve 8 x = 4.5 (10) 8x = 45 X = 5.625

3. Jana is 1.5 meters tall and casts a 6-meter shadow. How long is the shadow of a 12-meter flagpole beside her? ObjectShadow Jana 1.5 meters6 meters Flagpole X meters12 meters Set up proportions and label Use cross products to solve 1.5 (12) = 6x 18 = 6x X = 3 meters

4. The end of a 500-foot kite string is anchored to the ground. At a point 10 feet along the string from the anchor point, the string is 5 feet above the ground. How high is the kite flying? StringHeight above Ground Kite 500 Feetx Anchor Point 10 Feet5 Feet (I imagine the kite is flying at a diagonal because of the wind. ) Set up proportions and label Use cross products to solve 500 (5) = 10 x 2500 = 10x X = 250 feet

5. Two cities are separated by 3.7 inches on a map. The actual distance between the cities is 11.1 miles. What is the map scale? MapScale Inches 3.7 inches1 Miles 11.1 milesx We are looking to find out how many miles 1 inch equals (1) = 3.7 x 1 inch = 3 miles (must include the full rate for map scales- not just one number)

5. Two cities are separated by 3.7 inches on a map. The actual distance between the cities is 11.1 miles. What is the map scale? MapScale Inches 3.7 inches1 Miles 11.1 milesx We are looking to find out how many miles 1 inch equals (1) = 3.7 x 1 inch = 3 miles (must include the full rate for map scales- not just one number)

5. Two cities are separated by 3.7 inches on a map. The actual distance between the cities is 11.1 miles. What is the map scale? MapScale Inches 3.7 inches1 Miles 11.1 milesx We are looking to find out how many miles 1 inch equals (1) = 3.7 x 1 inch = 3 miles (must include the full rate for map scales- not just one number)

5. Two cities are separated by 3.7 inches on a map. The actual distance between the cities is 11.1 miles. What is the map scale? MapScale Inches 3.7 inches1 Miles 11.1 milesx We are looking to find out how many miles 1 inch equals (1) = 3.7 x 1 inch = 3 miles (must include the full rate for map scales- not just one number)

5. Two cities are separated by 3.7 inches on a map. The actual distance between the cities is 11.1 miles. What is the map scale? MapScale Inches 3.7 inches1 Miles 11.1 milesx We are looking to find out how many miles 1 inch equals (1) = 3.7 x 1 inch = 3 miles (must include the full rate for map scales- not just one number)

6 A model boat is 15 inches long. If it is built to a scale of 1: 250, how long is the boat in real life? ModelActual Scale 1250 Boat 15 inchesx 15 (250) = 1 x 11.1 (1) = 3.7 x X = 3750 inches Divide by 12 to put in feet feet

5. Two cities are separated by 3.7 inches on a map. The actual distance between the cities is 11.1 miles. What is the map scale? MapScale Inches 3.7 inches1 Miles 11.1 milesx We are looking to find out how many miles 1 inch equals (1) = 3.7 x 1 inch = 3 miles (must include the full rate for map scales- not just one number)

7 The length of a racing car is 14 feet. A scale model of the racing car is 8 inches long. What scale was used to build the model? Race CarScale Inches 14 feet8 inches Miles x1 inch Looking to find out how much 1 inch equals 14 (1) = feet = 1 inch (must include the full rate for map scales- not just one number)

8 A packing machine can pack 2500 boxes in 4 hours. At what rate does the machine work? Packing Machine Rate Boxes 2500 boxesx Hours 4 hours1 We are looking to find how many boxes per hour, so it is out of 1 hour 2500 (1) = 4 x 625 boxes per hour

9 A cow produces 230 gallons of milk in 6 days. At that rate, about how many gallons should the cow produce in one year? Rate Milk 230 gallonsx Days 6 days1 = 365 days Convert 1 year to days so you are comparing the same thing 230 x 365 = 6x 83,950 = 6x 13, … round to 13,991.7 gallons

10. If the tree is 60 feet tall, how tall is the building? BushTreeBuilding Height 4.560x Shadow 9 x72 Don’t use info about tree- not complete. Use bush instead! You can use proportion or notice the shadow is 2x longer 36 feet

11. Central angle for 30% soccer? DegreesPercent Part (Soccer) 30%x Whole 100%360* 30 (360) = 100 x 11,800 = 100 x 625 degrees

12. Central angle for 20% track? DegreesPercent Part (Track) 20%x Whole 100%360* 20 (360) = 100 x 7200 = 100 x 72 degrees

. 13. Central angle for 27% swimming? DegreesPercent Part (Swimming) 27%x Whole 100%360* 27 (360) = 100 x 9729= 100 x degrees 14) Answer: 43.2 degrees

Describe the cross section formed by the intersection of a rectangular pyramid and a shape the is parallel to its base. Cross section is a rectangle

16. A circle has a radius of 13.5 mm. What is the circumference? Use 3.14 for pi and round to the nearest tenth. Circumference = 3.14 (diameter) C = 3.14 ( ) C = Round 83.2 mm

17. Challenge: (Harder than problems on actual test!) The area of a circle is 64 p in2. What is the diameter of the circle? Area = 3.14 (radius x radius) 64 = 3.14 ( r r) Divide by 3.14 on both sides – 64/ 3.14 = rr – = rr Square route both sides – Round – 5.1 inches

18. A circular pond has a radius of 11 m. What is the area? Use 3.14 and round to the nearest tenth. Area = 3.14 (radius x radius) A = 3.14 ( 11 x 11) C = 3.14 x 121 C = Round meters squared

19. The area of a circle is 314 square inches. Find the diameter of the circle. Area = 3.14 (radius x radius) 314 = 3.14 ( radius x radius) Divide both sides by 3.14 – 100 = radius x radius Radius = 10 Diameter = 20 inches

20. Describe the cross section formed by the intersection of a rectangular prism and a plane perpendicular to its base. Perpendicular means 90 degress The cross section will be a rectangle