Practice QuizYou 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 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

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

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

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

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)

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)

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)

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)

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)

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

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)

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)

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

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

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

11. Central angle for 30% soccer?

Degrees PercentPart (Soccer) 30% xWhole 100% 360*

• 30 (360) = 100 x • 11,800 = 100 x• 625 degrees

12. Central angle for 20% track?

Degrees PercentPart (Track) 20% xWhole 100% 360*

• 20 (360) = 100 x • 7200 = 100 x• 72 degrees

• .

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

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

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

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

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

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

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