Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the...
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![Page 1: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/1.jpg)
Practice QuizYou may use a calculator.
Homework: Study 20 minutes tonight
Have parent sign on the top of your practice quiz!
![Page 2: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/2.jpg)
1. Triangle ABC is similar to triangle
DEF. What is the value of x?
Small Triangle Big TriangleTriangle’s Side 3 5Triangle’s Base 8 2x
• Set up proportions and label• Use cross products to solve• 3 (2x) = 40• 6x = 40• X = 4.66666… Round to 4.7 • Insert value of x for 2x• 2 (4.7) = 9.4
![Page 3: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/3.jpg)
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 #1 Photo #2Wide 8 4.5Long 10 x
• Set up proportions and label• Use cross products to solve• 8 x = 4.5 (10)• 8x = 45• X = 5.625
![Page 4: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/4.jpg)
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?
Object ShadowJana 1.5 meters 6 metersFlagpole X meters 12 meters
• Set up proportions and label• Use cross products to solve• 1.5 (12) = 6x• 18 = 6x• X = 3 meters
![Page 5: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/5.jpg)
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?
String Height above Ground
Kite 500 Feet xAnchor Point 10 Feet 5 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
![Page 6: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/6.jpg)
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?
Map ScaleInches 3.7 inches 1Miles 11.1 miles x
• We are looking to find out how many miles 1 inch equals.
• 11.1 (1) = 3.7 x• 1 inch = 3 miles (must include the full
rate for map scales- not just one number)
![Page 7: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/7.jpg)
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?
Map ScaleInches 3.7 inches 1Miles 11.1 miles x
• We are looking to find out how many miles 1 inch equals.
• 11.1 (1) = 3.7 x• 1 inch = 3 miles (must include the full
rate for map scales- not just one number)
![Page 8: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/8.jpg)
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?
Map ScaleInches 3.7 inches 1Miles 11.1 miles x
• We are looking to find out how many miles 1 inch equals.
• 11.1 (1) = 3.7 x• 1 inch = 3 miles (must include the full
rate for map scales- not just one number)
![Page 9: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/9.jpg)
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?
Map ScaleInches 3.7 inches 1Miles 11.1 miles x
• We are looking to find out how many miles 1 inch equals.
• 11.1 (1) = 3.7 x• 1 inch = 3 miles (must include the full
rate for map scales- not just one number)
![Page 10: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/10.jpg)
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?
Map ScaleInches 3.7 inches 1Miles 11.1 miles x
• We are looking to find out how many miles 1 inch equals.
• 11.1 (1) = 3.7 x• 1 inch = 3 miles (must include the full
rate for map scales- not just one number)
![Page 11: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/11.jpg)
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?
Model ActualScale 1 250 Boat 15 inches x
• 15 (250) = 1 x • 11.1 (1) = 3.7 x• X = 3750 inches• Divide by 12 to put in feet• 312.5 feet
![Page 12: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/12.jpg)
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?
Map ScaleInches 3.7 inches 1Miles 11.1 miles x
• We are looking to find out how many miles 1 inch equals.
• 11.1 (1) = 3.7 x• 1 inch = 3 miles (must include the full
rate for map scales- not just one number)
![Page 13: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/13.jpg)
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 Car ScaleInches 14 feet 8 inchesMiles x 1 inch
• Looking to find out how much 1 inch equals
• 14 (1) = 8• 1. 75 feet = 1 inch (must include the
full rate for map scales- not just one number)
![Page 14: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/14.jpg)
8 A packing machine can pack 2500 boxes in 4 hours. At what rate does the machine work?
Packing Machine
Rate
Boxes 2500 boxes xHours 4 hours 1
• 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
![Page 15: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/15.jpg)
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?
RateMilk 230 gallons xDays 6 days 1 = 365 days
• Convert 1 year to days so you are comparing the same thing
• 230 x 365 = 6x• 83,950 = 6x• 13,991.666… round to 13,991.7 gallons
![Page 16: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/16.jpg)
10. If the tree is 60 feet tall, how tall is the building?
Bush Tree BuildingHeight 4.5 60 xShadow 9 x 72
• Don’t use info about tree- not complete. Use bush instead!
• You can use proportion or notice the shadow is 2x longer
36 feet
![Page 17: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/17.jpg)
11. Central angle for 30% soccer?
Degrees PercentPart (Soccer) 30% xWhole 100% 360*
• 30 (360) = 100 x • 11,800 = 100 x• 625 degrees
![Page 18: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/18.jpg)
12. Central angle for 20% track?
Degrees PercentPart (Track) 20% xWhole 100% 360*
• 20 (360) = 100 x • 7200 = 100 x• 72 degrees
![Page 19: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/19.jpg)
• .
13. Central angle for 27% swimming?
Degrees PercentPart (Swimming)
27% x
Whole 100% 360*
• 27 (360) = 100 x • 9729= 100 x• 97.29 degrees
14) Answer: 43.2 degrees
![Page 20: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/20.jpg)
15. 15. 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
![Page 21: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/21.jpg)
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 ( 13.5 + 13.5)• C = 83.21• Round• 83.2 mm
![Page 22: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/22.jpg)
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– 26.38 = rr
• Square route both sides– 5.135
• Round
– 5.1 inches
![Page 23: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/23.jpg)
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 = 379.94• Round• 379.9 meters squared
![Page 24: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/24.jpg)
19. The area of a circle is 314 squareinches. 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
![Page 25: Practice Quiz You may use a calculator. Homework: Study 20 minutes tonight Have parent sign on the top of your practice quiz!](https://reader030.fdocuments.in/reader030/viewer/2022032707/56649e545503460f94b4ab61/html5/thumbnails/25.jpg)
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