Free Printable Scale and Scale Factor Review

1.

Your family recently had a family portrait taken. Your aunt asks you to take a picture of the portrait using your phone and send it to her. If the original portrait is 3 feet by 4 feet, and the scale factor is 1/18, what would be the size of the portrait on your phone?

a)

$\frac{1}{6}\ ft$ by $\frac{2}{9}\ ft$

b)

$\frac{1}{54}\ ft$ by $\frac{1}{72}\ ft$

c)

$72\ ft$ by $54\ ft$

2.

John is building his daughter a dollhouse that is a miniature model of their house. The front of their house has a circular window with a diameter of 5 feet. If the scale factor for the model house is 1/30, what would the new dimension of the window be?

a)

$\frac{1}{6}\ ft$

b)

$150\ ft$

c)

$\frac{1}{150}\ ft$

3.

Kate is running for school president. Her best friend designed her campaign poster, which measured 36 inches by 24 inches. Kate liked the poster so much, she reduced the image of the artwork by a scale factor of 0.05 and reproduced them on rectangular buttons. What is the size of the buttons?

a)

$720\ in$ by $480\ in$

b)

$\frac{1}{720}\ in$ by $\frac{1}{480}\ in$

c)

$1.8\ in$ by $1.2\ in$

4.

A rectangular pool in your friend’s yard is 150 ft. × 400 ft. Using a scale factor of 1/600, what would the new dimensions of the pool be?

a)

$90000\ ft$ by $240000\ ft$

b)

$\frac{1}{4}\ ft$ by $\frac{2}{3}\ ft$

c)

$\frac{1}{3}\ ft$ by $\frac{1}{2}\ ft$

5.

The length of the tunnel under the water is 50 miles. If 1 inch represents 10 miles, what is the length of the tunnel on the map?

a)

$5\ \ feet$

b)

$500\ \ inches$

c)

$5\ \ inches$

d)

$500\ feet$

6.

What equation can be used to find the scale factor?

a)

$SF=N\cdot O$

b)

$SF=\frac{0}{N}$

c)

$SF=\frac{N}{O}$

7.

What equation can be used to find the dimensions of the new image?

a)

$N=SF\cdot O$

b)

$N=\frac{SF}{O}$

c)

$N=\frac{O}{SF}$

8.

What equation can be used to find the dimensions of the original image?

a)

$O=SF\cdot N$

b)

$O=\frac{N}{SF}$

c)

$O=\frac{SF}{N}$

9.

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

10.

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

11.

Point 1 corresponds to which letter?

a)

A

b)

B

c)

C

d)

D

e)

E

12.

Point 2 corresponds to which letter?

a)

A

b)

B

c)

C

d)

D

e)

E

13.

Point 3 corresponds to which letter?

a)

A

b)

B

c)

C

d)

D

e)

E

14.

Point 4 corresponds to which letter?

a)

A

b)

B

c)

C

d)

D

e)

E

15.

Point 5 corresponds to which letter?

a)

A

b)

B

c)

C

d)

D

e)

E

16.

Determine if the scale factor would result in an enlargement or reduction. $SF=8.09$

a)

Reduction

b)

Enlargement

17.

Determine if the scale factor would result in an enlargement or reduction. $SF=0.005$

a)

Reduction

b)

Enlargment

18.

Determine if the scale factor would result in an enlargement or reduction. $SF=\frac{12}{7}$

a)

Reduction

b)

Enlargement

19.

Determine if the scale factor would result in an enlargement or reduction. $SF=4\ \frac{1}{7}$

a)

Reduction

b)

Enlargement

20.

Determine if the scale factor would result in an enlargement or reduction. $SF=\frac{1}{9}$

a)

Reduction

b)

Enlargement

21.

In order for a new image to be a scale drawing of the original image,

a)

There must be a scale factor

b)

All ratios must be equivalent

c)

The original image was changed proportionally

d)

All of the above

22.

To determine the dimensions of the new image,

a)

multiply the new image by the scale factor

b)

divide the original image by the scale factor

c)

multiply the original image by the scale factor

d)

divide the new image by the original image

23.

Use the original image and new image to decide which statement is true.

a)

The new image is a scale drawing with a scale factor of

2

.

b)

The new image is a scale drawing with a scale factor of $\frac{1}{2}$

c)

The new image is not a scale drawing because there is no scale factor.

d)

The object was not changed proportionally.

24.

Use the original image and new image to decide which statement is true.

a)

The new image is a scale drawing with a scale factor of $2\ \frac{1}{2}$ .

b)

The new image is a scale drawing with a scale factor of $\frac{2}{5}$ .

c)

The new image is not a scale drawing because there is not a scale factor.

d)

The object was not changed proportionally.

25.

Which scale factor will result in an enlargement?

a)

$1$

b)

$0$

c)

$\frac{1}{2}$

d)

$\frac{14}{3}$

26.

Which scale factor will result in a reduction?

a)

$1$

b)

$0$

c)

$\frac{1}{2}$

d)

$\frac{14}{3}$

27.

Which is an example of two equivalent ratios?

a)

$\frac{1\ inch}{5\ feet}=\frac{10\ feet}{2\ inches}$

b)

$\frac{2\ feet}{500\ miles}=\frac{7\ books}{1000\ pizzas}$

c)

$\frac{2\ inches}{50\ miles}=\frac{4\ inches}{100\ miles}$

d)

$\frac{1\ pizza}{2\ books}=\frac{2\ sodas}{4\ pizzas}$

28.

What is the scale factor?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{3}{5}$

d)

There is none.

29.

Which of the following is NOT an example of a scale?
(choose all that apply)

a)

$\frac{1\ inch}{2\ feet}$

b)

$\frac{3}{5}$

c)

$\frac{2\ miles}{5\ kilometers}$

d)

$3.5$

e)

$\frac{4}{5\ feet}$

30.

Which of the following is an example of a scale?

(choose all that apply)

a)

$\frac{1}{2\ inches}$

b)

$\frac{1\ inch}{\ 20\ miles}$

c)

$\frac{6\ miles}{2000\ feet}$

d)

$3.5$

e)

$\frac{4}{5}$

31.

What is the scale factor?

a)

$\frac{1}{5}$

b)

$\frac{1}{2}$

c)

$\frac{3}{5}$

d)

There is no scale factor

32.

The length of the highway on the map is 3.5 inches. If 1 inch represents 200 miles, what is the actual length of the highway?

a)

3.5\ inches

b)

$700\ miles$

c)

$140000\ miles$

d)

$\frac{1}{3}\ inches$

33.

Using the image, with a scale factor of 2, find the perimeter of the new rectangle.

a)

$26\ \frac{1}{5}\ m$

b)

$52\ \frac{2}{5}\$

c)

$52\ \frac{2}{5}\ m$

d)

$26\ \frac{1}{5}$

34.

The image shows a scale drawing of a swimming pool and its surrounding patio. Find the actual perimeter of the swimming pool.

a)

$63\ \frac{3}{7}\ in$

b)

$118\ ft$

c)

$63\frac{3}{7}$

d)

$118$

35.

With a scale factor of $\frac{3}{2}$ , find the actual area of the courtyard.

a)

$15\ in$

b)

$33\ \frac{3}{4}\ in$

c)

$15\ in^2$

d)

$33\ \frac{3}{4}\ in^2$

36.

The image shows a drawing of a soccer field. Find the actual area of the soccer field using a scale of 2 inches represents 5 feet.

a)

$1974.6875\ ft$

b)

$1974.6875\ ft^2$

c)

$7898.75\ ft$

d)

$7898\ ft^2$

Scale and Scale Factor Review

Total questions: 36

Worksheet time: 9hrs 0mins

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