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Quarter 1 Review - COP, Scales, Circles

Total questions: 136

Worksheet time: 6hrs 3mins

Name
Class
Date
1.

What is the formula to find the area of a circle?

a)

A = πd

b)

A = 2πr

c)

A = πr2

d)

A = xyz

2.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
3.

What is the area of this circle?

a)

1256.64

b)

31.41

c)

314.16

d)

123.12

4.
What is the area of this circle?
a)
62.59
b)
113.1
c)
19.81
d)
28.27
5.
What is the area of this circle?
a)
201.06
b)
50.27
c)
123.12
d)
94.43
6.

what is the formula for finding the area of a semi-circle

a)

A = π r2

b)

C = π r2

c)

A = π r2 / 2

d)

A = 2 π r

7.

what is this shape called

a)

circle

b)

semi circle

c)

moon

d)

triangle

8.
What is the area of this semi circle? 
a)
100.5 square cm
b)
25.1  square cm
c)
50.3 square cm
d)
12.6 square cm
9.

Which of the following are scaled copies of the original portrait? Select ALL the apply.

a)

A

b)

B

c)

C

d)

D

e)

E

10.

Which of the following are scaled copies of the original image? Select ALL that apply

a)

A

b)

B

c)

C

d)

D

11.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

12.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

13.
Line CB corresponds with what line? 
a)
SR
b)
PQ
c)
SP
d)
RQ
14.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

15.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
16.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

17.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

18.
If a scale factor is LESS THAN ONE, the new figure will be ___________________ .
a)
an enlargement
b)
a reduction
c)
none of these
d)
the same size
19.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
20.
Scale Factor of 0.80 is ________________ .
a)
Reduction
b)
Enlargement
21.
What is the formula for circumference of a circle?
a)
C = d⋅π
b)
C = 2⋅π⋅r
c)
C = π⋅r2
d)
C = d⋅π and
C = 2⋅π⋅r
22.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
23.
What is the radius?
a)
18
b)
72
c)
38
d)
14
24.
A bike wheel has a diameter of 10 ft. What is the circumference of the wheel?
a)
10π feet 
b)
3.14π feet
c)
3.14 feet
25.
A circle's diameter is 13 cm.  What is the approximate circumference?  
a)
6.5 cm
b)
13 cm
c)
40.8 cm 
d)
20.4 cm 
26.
The radius of a circle is 3 cm.  What is the circle's diameter?
a)
9.4 cm
b)
6 cm
c)
18.8 cm
27.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
28.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
29.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
1/14
30.
What is the constant of proportionality for this table?
a)
$1/9 per hour
b)
$9 per hour
c)
$8 per hour
31.

What makes a graph proportional?

a)

Linear (straight line)

b)

A straight line (linear) that goes through the origin

c)

Curvy line

32.
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
33.
Write an equation for this situation.
a)
y = 9.75x
b)
y = 19x
c)
y = 19.25x
d)
y = 9.5x
34.
What does k represent in the equation y = kx?
a)
konkrete kids
b)
constant of proportionality
c)
kangaroos
d)
krispy kreme
35.
Is this table proportional?
a)
Yes
b)
No
36.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
37.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
38.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
39.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
40.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
41.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
42.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
1
43.
Which equation matches the graph?
a)
y = 7x
b)
y = 42x
c)
y = 6x
d)
y = 2x
44.

What makes a graph proportional?

a)

Linear (straight line)

b)

A straight line (linear) that goes through the origin

c)

Curvy line

45.
Is this graph proportional?
a)
Yes
b)
No
46.
Is this table proportional?
a)
Yes
b)
No
47.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
48.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
49.
What is the constant of proportionality for this table?
a)
$1/9 per hour
b)
$9 per hour
c)
$8 per hour
50.

Is the graph proportional or non proportional?

a)

Yes

b)

No

51.
What is the COP of this graph?
a)
4/3
b)
1
c)
4
d)
3/4
52.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

53.

Which of the following rates of change represents the graph shown?

a)

2 boys for every 1 girl

b)

0.5 boys for every 1 girl

c)

6 boys for every 1 girl

d)

3 boys for every 1 girl

54.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
55.

Determine if the graph represents a proportional relationship.

a)

Yes it does.

b)

No it does not.

56.

What is the Constant of Proportionality for the table?

a)

1/25

b)

25

c)

50

d)

2

57.

What is the Constant of Proportionality?

a)

46

b)

92

c)

.02

d)

none, data is not proportional

58.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

59.

The constant of proportionality of this graph is k = 45. What does it mean?

a)

The boat travels for 45 miles for every 45 hours

b)

The boat travels 1 mile for every 45 hours

c)

The boat travels 45 miles for every 1 hour

d)

The boat travels 1/45 mile for every 1 hour

60.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
61.
What is the constant of proportionality of the relationship represented by the table above?
a)
75
b)
0.013
c)
1/75
d)
None of the above
62.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
63.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
64.
What is the equation?
a)
y=x/4
b)
y=4x
c)
y= x + 4
d)
y = x - 4
65.
Is this table proportional?
a)
Yes
b)
No
66.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
67.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
68.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
69.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
70.
A box of cereal cost $3.59 for 30 oz. How much is the unit rate per ounce? Round to the nearest cent.
a)
11 cents
b)
12 cents
c)
13 cents
d)
10 cents
71.
Determine the constant of proportionality.
a)
5
b)
0.2
c)
1
d)
1.4
72.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
73.
A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup? 
a)
1 cup per egg
b)
2 cups per egg
c)
3 eggs per cup
d)
4 eggs per cup
74.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
75.
What was Brian's unit rate?
a)
3/2 word per minute
b)
30 minutes per word
c)
60 minutes per word
d)
30 words per minute
76.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

77.
Write an equation for the proportional relationship in the table.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
78.
What is the constant of proportionality? 
a)
45 mph
b)
90 mph
c)
135 mph
d)
2 mph
79.
What is the constant of proportionality? 
a)
4
b)
1/4
c)
8
d)
1/8
80.
The point (0, 0) is called the origin.
a)
True
b)
False
81.
Which of the tables above represents a proportional relationship?
a)
a & c
b)
a, b & c
c)
a, c & d
d)
all of them
82.
What is the constant of proportionality of the graph above?
a)
0
b)
1/6
c)
60
d)
10
83.
Which has a greater constant of proportionality according to the graph above?
a)
Avenger
b)
Serendipity
c)
Both have the same
84.

Select ALL equations that are proportional.

a)

y = 3x

b)

y = 25x

c)

y = 7x

d)

y = 2x - 1

e)

y = 4000x

85.

Which equation is NOT proportional?

a)

y = 2x - 3

b)

y = 150x

c)

y = 1/2x

86.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

15k

b)

x = 15y

c)

y = 0.06x

d)

y = 15x

87.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

33

b)

y = 1/3x

c)

y = 33x

d)

y = 33

88.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 30k

b)

y = 30x

c)

y = 0.03x

d)

y = 9x

89.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

90.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
91.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
92.
Find missing side
a)
5
b)
7
c)
9
d)
11
93.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
94.
a)
8
b)
10
c)
14
d)
12
95.
a)
2
b)
7
c)
0.5
d)
12
96.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
d)
8 feet
97.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
98.
a)
10 ft
b)
5 ft
c)
8 ft
d)
15 ft
99.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
100.
All angles in similar figures are congruent.  
a)
True
b)
False
101.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
102.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
103.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
104.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
105.
Find the missing perimeter.
a)
15
b)
20
c)
25
d)
30
106.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
107.
Find the missing measure. 
a)
12
b)
14
c)
196
d)
168
108.
Solve for x.
a)
100
b)
143
c)
4
d)
95
109.
Click to see image.
a)
A
b)
B
c)
C
d)
D
110.
Click to see image.
a)
A
b)
B
c)
C
d)
D
111.
Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?
a)
3 ft
b)
7.5 ft
c)
1.2 ft.
d)
0.8 ft.
112.
Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?
a)
10 in²
b)
25 in²
c)
100 in²
d)
484 in²
113.
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
114.
What does Congruent mean?
a)
When two things weight the same
b)
Same size same shape
115.
What is the scale factor from the large triangle to the small triangle?
a)
1/2
b)
2/3
c)
3/4
d)
2
116.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
117.
What is the scale factor from the smaller quadrilateral to the larger?
a)
scale factor = 4
b)
scale factor = 10
c)
scale factor = 3
d)
scale factor = 2
118.

Are the two figures similar?

a)

Yes

b)

No

119.

Find the triangle similar to △ABC

a)
b)
c)
d)
120.

Which figure is similar?

a)

A

b)

B

c)

C

d)

D

121.

The diagram shows a rectangle that is 4 in by 7 in in measure.


Which is the measure of a rectangle that is similar to the rectangle above?

a)

4 in x 17 in

b)

24 in x 42 in

c)

7 in x 10 in

d)

5 in x 8 in

122.

The diagram shows a rectangle that is 3 cm by 5 cm in measure.


Which is the measure of a rectangle that is similar to the rectangle above?

a)

10.5 cm x 17.5 cm

b)

6 cm x 8 cm

c)

4 cm x 6 cm

d)

4.5 cm x 8 cm

123.

The diagram below shows a rectangle that is 9 m by 15 m in measure. Which is the measure of a rectangle that is similar to the rectangle above?

a)

14 m x 20 m

b)

45 m x 75 m

c)

18 m x 31 m

d)

6 m x 12 m

124.

I draw up a plan for a new kitchen. On the plan, 10cm represents 5m in the kitchen.

Write the scale in the form 1 : n

a)

10 : 5

b)

1 : 0.5

c)

1 : 50

d)

1 : 500

125.

Using the same map of Singapore, with a scale of 1: 30,000:

On the map, the distance from my flat to Marina Bay Sands is 20cm. How far do I live from MBS?

a)

1.5km

b)

60km

c)

6km

d)

6.667 km

126.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

127.

Scale is 1in = 8mi. Hatboro and Smithville are 24 miles apart on the map, how far apart are they?

a)

87 mi

b)

30 in

c)

6 in

d)

3 in

128.
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
129.
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
130.
How many miles would 9 inches be on this map?
a)
10
b)
20
c)
30 
d)
90
131.
6. On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1.5 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
150 miles
c)
100 miles
d)
125 miles
132.
The scale for a flagpole is 1 in.= 4 ft. If the pole measures 12 inches on paper, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
133.
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
134.

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1.75 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

135.

A blueprint was using a scale of 1cm = 1.5m. Find the actual length if it is 5cm on the drawing.

a)

7.5

b)

13.5

c)

1.5

d)

1.7

136.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 
a)
7 in
b)
9 in
c)
12 in
d)
14 in

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