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Semester 1 Review

Total questions: 130

Worksheet time: 5hrs 44mins

Name
Class
Date
1.

The definition of a circle is

a)

set of all points in a plain that are the same distance from a point called the center

b)

the distance around a share

c)

a large figure

d)

a pizza, orange, plum, or watermelon

2.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

3.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

4.

The definition of circumference is

a)

distance from the center of any point on the circle

b)

distance from one point to another

c)

distance around the circle

d)

distance from the center of any point on the circle

5.

what is the formula for finding diameter

a)

r = 2 d

b)

d = 2 r

c)

a = m c2

d)

c = π 2 r

6.

what is the formula for finding radius

a)

c = π d

b)

c = 2 π r

c)

d = r/2

d)

r = d/2

7.

what is the formula for finding circumference


select ALL that apply

a)

c = π d

b)

c = 2 π r

c)

d = 2 r

d)

r = d/2

8.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

9.

which segment above represents the radius

a)

AC

b)

AB

c)

LM

10.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

11.

find the diameter of the circle

a)

14 m

b)

7 m

c)

14

d)

3.5 m

12.

find the radius of the circle

a)

3 m

b)

1.5 m

c)

1.5

d)

1.5 mm

13.

find the diameter of the circle

a)

1 ft

b)

4 ft

c)

4 mm

d)

2 ft

14.

what is this shape called

a)

circle

b)

semi circle

c)

moon

d)

triangle

15.

what is the formula for finding area of a circle

a)

C = π r2

b)

A = π r2

c)

A = π r2 / 2

d)

C = 2 π r

16.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
17.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
18.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
19.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
20.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
21.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
22.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
23.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r2

d)

C = π·d

24.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

25.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
26.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?
a)
3 m 
b)
9.42 m
c)
12 m
d)
18.84 m
27.
The radius is....
a)
a line that crosses through the center and touches each edge 
b)
the center point of a circle 
c)
a line from the center point to the edge of the circle
d)
an element in science
28.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
29.

A circle has a radius of 23 feet. What is the diameter of the circle?

a)

23 feet

b)

46 feet

c)

1/2 feet

d)

none of the above

30.
find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
31.

What does r represent in the formula:

A = π·r2

a)

circumference

b)

radius

c)

diameter

d)

squared

32.

What number does π represent?

a)

4.13

b)

3.41

c)

pie

d)

3.14

33.

What is the symbol for pi?

a)

#

b)

π

c)

&

d)

%

34.

The radius of the circle is 9 meters. What is the circle's circumference?

(a)  

35.
The distance around a circle; much like the perimeter of a rectangle.
a)
perimeter
b)
diameter
c)
circumference
d)
radius
36.

A pond has a diameter of 12 feet. What is its radius?

a)

12 feet

b)

6 feet

c)

24 feet

37.

What is the length of the radius of the circle?

(a)  

38.

A tire has a radius of 14 inches. What is its diameter?

a)

14 inches

b)

7 inches

c)

28 inches

39.

What is a straight line that goes through the center of a circle from side to opposite side?

a)

Diameter

b)

Circumference

c)

Radius

d)

Center

40.

What is the diameter of the circle?

a)

3

b)

6

c)

9

d)

12

41.

What is the area of the circle rounded to the nearest tenth?

a)

28.3 meters squared

b)

28 meters squared

c)

29 meters squared

d)

Answer Not Here

42.

What is the radius of the circle?

a)

2cm

b)

5cm

c)

10cm

d)

20cm

43.

What is the area of the circle rounded to the nearest tenth?

a)

80 cm squared

b)

79 cm squared

c)

78.5 cm squared

d)

78 cm squared

44.

If the radius of a circle is 5 feet, what is the area?

a)

15.7 feet squared

b)

25 feet squared

c)

78.5 feet squared

d)

Answer Not Here

45.

If the diameter is 6 feet, what is the area?

a)

9 feet squared

b)

28.26 feet squared

c)

18.84 squared feet

d)

113.04 squared feet

46.

Find the circumference to the nearest foot?

a)

231 feet squared

b)

132 feet squared

c)

321 feet squaed

d)

123 feet squared

47.

The radius of a circle is 12 centimeters.

What is the circumference?

a)

12π cm

b)

24π cm

c)

6π m

d)

3π m

48.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

49.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

50.

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

a)

50 m

b)

2 m

c)

10 m

d)

5 m

51.

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

a)

2 in

b)

1 in

c)

3 in

d)

18 in

52.

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

a)

15 in

b)

9 in

c)

7 in

d)

13 in

53.

Edgar drew a scale drawing of the town library. The scale of the drawing was 5 centimeters : 2 meters. The parking lot is 34 meters wide in real life. How wide is the parking lot in the drawing?

a)

85 cm

b)

68 cm

54.

Norris is doing renovations in the living room of his home. The length of the room is 22 feet, and the width of the room is 19 feet. A proportional scale drawing of the room was created that has width of 38 inches. What is the length in the scale drawing?

a)

51 in

b)

44 in

c)

50 in

d)

59 in

55.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
56.
From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.
a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
57.
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot? 
a)
63 m
b)
235 m
c)
315 m
d)
630 m
58.

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

a)

7.5 m

b)

13.5 m

c)

1.5 m

d)

1.7 m

59.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
60.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
61.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
62.
Maura is building a 2 ft. tall model of the Gateway Arch in St. Louis, Missouri.  The scale is 3 in : 78.75 ft.  Estimate the height of the actual arch.
a)
630
b)
600
c)
400
d)
200
63.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
64.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
65.
The scale model of a building is 6.5 inches tall. How tall is the actual building if the scale used for the model is 1 inch = 150 feet?
a)
650 feet
b)
840 feet
c)
900 feet
d)
975 feet
66.
To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?
a)
9 cm
b)
18 cm
c)
90 cm
d)
9 m 
67.
The scale drawing for Zoe's room is shown. If 1 in on the scale drawing equals 3 feet. What is the area for Zoe's room?
a)
49  square feet
b)
132 square feet
c)
126 square feet
d)
14 square feet
68.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
69.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
70.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
71.
A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 
a)
1.7 km
b)
5 km
c)
15 km
d)
17 km 
72.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)

1 inch = 40 miles
73.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
74.

Irene measured a shopping center and made a scale drawing. The scale she used was 2 inches : 1 foot. If a bakery in the shopping center is 104 inches in the drawing, how long is the actual bakery?

a)

52 ft

b)

208 ft

75.

The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4 what is the new perimeter?

a)

120

b)

480

c)

1920

76.

If the perimeter of a rectangle was 20in and now it is is 80in, what is the scale factor that was used?

a)

4

b)

2

c)

40

d)

20

77.

What angle corresponds to angle STQ?

a)

UXW

b)

QRT

c)

XWV

d)

UVW

78.

What is the scale factor between figure A and figure B?

a)

2

b)

2.5

c)

0.5

d)

1.5

79.

What angle corresponds to angle CBA?

a)

ADC

b)

EFG

c)

EHF

d)

FGH

80.

Check all the sides that correspond? (There are multiple answers)

a)

4 and 8

b)

12 and 6

c)

5 and 10

d)

1 and 8

81.

Which figure is a scaled copy of the Original (A)

a)

B

b)

C

c)

D

d)

None of the above

82.

Three student are arguing over the picture above.

  • Rhonda says the scale is 3
  • Jaclyn says the scale is 2
  • Haley says the scale is 2.5

Who is correct?

a)

Rhonda

b)

Jaclyn

c)

Haley

d)

None of them

83.

Your scale is 1 inch to 5 miles. If the drawing shows a road that is 2 inches long, how many miles is the actual road?

a)

5 miles

b)

2.5 miles

c)

10 miles

d)

7 miles

84.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
85.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
86.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
87.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
88.
Does the table represent a proportional relationship?
a)
yes
b)
no
89.
Does the table represent a proportional relationship?
a)
yes
b)
no
90.
Does the table represent a proportional relationship?
a)
yes
b)
no
91.
Does the graph represent a proportional relationship?
a)
yes
b)
no
92.
Does the graph represent a proportional relationship?
a)
yes
b)
no
93.
Does the graph represent a proportional relationship?
a)
yes
b)
no
94.
Which equation represents a proportional relationship?
a)
y = x + 3
b)
y = x - 9
c)
y = 7x
d)
y = 4x + 1
95.
Which equation represents a proportional relationship?
a)
y = x/2
b)
y = 10 + x
c)
y = 14 - x
d)
y = 5x + 8
96.
Which equation DOES NOT represent a proportional relationship?
a)
y = 11x
b)
y = x/4
c)
y = 1/2 x
d)
y = x + 3
97.
Are the following ratios proportional?
8/10, 28/35
a)
yes
b)
no
98.
Are the following ratios proportional?
21/30, 56/80
a)
yes
b)
no
99.
What does k represent in the equation y = kx?
a)
independent variable
b)
constant of proportionality
c)
dependent variable
d)
krispy kreme
100.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
101.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
102.

Is this equation y = 14x showing proportionality?

a)

yes

b)

no

103.

A proportional graph is a straight line through the...

a)

oreo

b)

oregon

c)

origin.

d)

potato

104.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
105.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
106.
Is this graph proportional?
a)
Yes
b)
No
107.
How do you find k? 
a)
x/y
b)
y/x
c)
y=kx
d)
x ⋅ y
108.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
109.
Is this graph proportional?
a)
Yes
b)
No
110.
Is this table proportional?
a)
Yes
b)
No
111.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
1/14
112.
The equation y=6.5x represents a proportional relationship. What is the constant of proportionality?
a)
x
b)
1/6.5
c)
6.5
d)
y
113.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
114.
Does this equation represent a proportional relationship?
a)
Yes
b)
No
115.
Is the given table a proportional relationship? If so, write an equation that relates y to x.
a)
Yes;  y=1/3x
b)
Yes;  y=3x
c)
Yes;  y=5x 
d)
No
116.
Perry earned $96 shoveling snow from 8 driveways.  At that rate, how much would he have made if he had shoveled only 6 driveways?
a)
$120
b)
$12
c)
$84
d)
$72
117.
Find the Unit Rate.
 405 rotations in 5 minutes   
a)
81 rotations per minute
b)
73 rotations per minute
c)
18 rotations per minute
d)
810 rotations in 10 minutes
118.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
119.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
120.
A job pays $56 for 8 hours of work.  How much money does the job pay per hour?
a)
$7 per hour
b)
$8 per hour
c)
$6 per hour
d)
$7.50 per hour
121.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
122.
REVIEW QUESTION
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
both
d)
neither
123.
REVIEW QUESTION
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
both
d)
neither
124.
Which of these describes the unit rate?
a)
a unit of measure
b)
a fraction with a numerator of one
c)
a fraction with a denominator of one
d)
a proportion
125.

What ratio is equivalent to 4:5? Select all that apply.

a)

8:10

b)

20:25

c)

5:6

d)

1:5/4

126.

What is the reciprocal of 7?

a)

1/2

b)

7/1

c)

2

d)

1/7

127.

What is the constant of proportionality?

a)

45

b)

50

c)

27

d)

1

128.

What side is corresponding to line AB?

a)

DE

b)

EF

c)

BC

d)

DF

129.

What side is corresponding to line EF?

a)

BC

b)

ED

c)

EF

d)

AB

130.

What angle is corresponding to angle C?

a)

F

b)

D

c)

E

d)

A

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