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scale factor/spiral - 10/9/19

Total questions: 45

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
2.
A scale factor greater than one creates ....
a)
a reduction
b)
an enlargement
c)
an exact copy
d)
none of these
3.

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

4.
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
5.
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
6.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
7.

Pedro and his friends are visiting chocolate shops in Fairview. They take a cab from one chocolate shop to another. On a map, the two are separated by 3 centimeters. If the scale of the map is 1 centimeter : 2 kilometers, then what is the actual distance between the two chocolate shops?

____ = ____

a)

1/2 kilometer

b)

1.5 kilometers

c)

6 kilometers

d)

3 kilometers

8.
Solve the proportion.
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
9.

Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch : 2 feet. The backyard is 78 feet long in real (actual) life. How long is the yard in the drawing?

____ = ____

a)

39 inches

b)

156 inches

c)

38 inches

d)

157 inches

10.

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

11.

Which one is an example of the scale written as a scale without units.

Scale:

15 ft : 10 yds

a)

1 to 30

b)

15 to 30

c)

30 to 15

d)

15 to 10

12.

What is the measurement of x?

a)

20 m

b)

24 m

c)

16 m

d)

4 m

13.
_________ ________ is the number you multiply by the sides to create a similar figure.
a)
Scale Factor
b)
Corresponding Angle
c)
Pi
d)
Mid Point
14.
Are the following similar? Why or why not?
a)
Yes, because the corresponding angles are congruent.
b)
No, the numbers are even
c)
No, the sides are 2 times larger, but the width is the same.
15.

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

a)

12 feet

b)

16 feet

c)

10 feet

d)

4 feet

16.

Which scale factor is an example of an enlargement?

a)

r = 1/2

b)

r = 1

c)

2:3

d)

r = 2.5

17.

Which scale factor is an example of a reduction?

a)

r = 1/2

b)

r = 1

c)

3:2

d)

r = 25

18.

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

19.

A scale model of a house is 1 ft long. The actual house is 36 ft long. In the model, the door is 2 in. high. How many feet high is the actual door?

a)

12 feet

b)

6 feet

c)

18 feet

d)

4 feet

20.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 3

d)

x = 3y

21.

What is the constant of proportionality?

a)

1

b)

2

c)

3

d)

4

22.
 Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
4
d)
C.O.P.
23.

Is this table proportional?

a)

yes because it will go through the origin and is a straight line

b)

no because the C.O.P. for each line is different

c)

yes because it increases by 1

d)

no because there is no (0 ,0 )

24.
What does the point (2,4) represent?
a)
They get 2 cm of rain in 4 hours
b)
In 2 hours it rains 4 cm
c)
1/2 cm per hour
d)
1/2 hour per 1 cm of rain
25.
Does the equation show a proportional relationship?
a)
Yes
b)
No
26.
Which line shows a proportional relationship between x and y?
a)
Line L
b)
Line M
27.
What makes a graph proportional?
a)
Straight Line
b)
The line goes through (0,0)
c)
Curvy line
d)
Straight line and passes through (0,0)
28.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
29.

Write the equation.

You earn $18 for every hour you work.

a)

y=(18/2)x + 0

b)

y = 18x

c)

y = 2x + 18

d)

y = 18x + 2

30.

Write the equation.

Bob has $150 in his savings account and saves $40 per month.

a)

150 + 40= y

b)

40x + 150= y

c)

150x + 40 = y

d)

190 x = y

31.

What is the x-axis label?

a)

iPhone Charging Speed

b)

Time (minutes)

c)

Capacity (% charged)

d)

The origin

32.

What is the meaning of the point (0, 40)?

a)

The battery has a 0% charge after 40 minutes

b)

It takes 40 minutes to charge the phone to 0%

c)

The battery begins with a 40% charge

d)

The battery dies after 40 minutes

33.

Does this graph represent a proportional relationship?

a)

Yes, because it doesn't start at the origin.

b)

Yes, because it shows a constant rate of change.

c)

No, because it doesn't start at the origin.

d)

No, because it shows a constant rate of change.

34.

Does this graph represent a proportional relationship?

a)

Yes

b)

No

35.

Write the equation.

A holiday meal costs $12.50 a person plus a delivery fee of $30.

a)

y = 30 + 12.5x

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

36.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
37.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
38.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
39.

How much money ($) would she earn in 5 days?

a)

$70

b)

$80

c)

$16

d)

$56

40.

What is the meaning of the point (0, 0)?

a)

She walks 0 dogs in 0 hours

b)

She spends 0 dollars in 0 weeks.

c)

She bakes 0 cookies in 0 days.

d)

She earns 0 dollars in 0 days.

41.

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

42.

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

a)

A

b)

B

c)

C

d)

D

43.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

44.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

45.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No