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 Triangle Big Triangle
Triangle’s Side
Triangle’s Base
3
8
• 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
5
2x
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 #2
8
10
4.5
x
Wide
Long
• 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
Jana
Flagpole
1.5 meters
X meters
• Set up proportions and label
• Use cross products to solve
• 1.5 (12) = 6x
• 18 = 6x
• X = 3 meters
Shadow
6 meters
12 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
Anchor Point
500 Feet
10 Feet
x
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
Inches
Miles
3.7 inches
11.1 miles
Scale
1
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
Inches
Miles
3.7 inches
11.1 miles
Scale
1
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
Inches
Miles
3.7 inches
11.1 miles
Scale
1
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
Inches
Miles
3.7 inches
11.1 miles
Scale
1
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
Inches
Miles
3.7 inches
11.1 miles
Scale
1
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
Scale
Boat
•
•
•
•
•
1
15 inches
15 (250) = 1 x
11.1 (1) = 3.7 x
X = 3750 inches
Divide by 12 to put in feet
312.5 feet
Actual
250
x
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
Inches
Miles
3.7 inches
11.1 miles
Scale
1
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
Inches
Miles
14 feet
x
Scale
8 inches
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
Boxes
Hours
2500 boxes
4 hours
Rate
x
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?
Rate
Milk
Days
230 gallons
6 days
x
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
Height
Shadow
4.5
9
Tree
60
x
Building
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
Part (Soccer)
Whole
30%
100%
• 30 (360) = 100 x
• 11,800 = 100 x
• 625 degrees
Percent
x
360*
12. Central angle for 20% track?
Degrees
Part (Track)
Whole
20%
100%
• 20 (360) = 100 x
• 7200 = 100 x
• 72 degrees
Percent
x
360*
13. Central angle for 27% swimming?
• .
Part
(Swimming)
Whole
Degrees
Percent
27%
x
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 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