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ALL Proportions (Scale Factor, Similar Figures, %, % increase & Decrease, basic)

Total questions: 88

Worksheet time: 3hrs 19mins

Name
Class
Date
1.

Miss Holman gave a 90-cent tip to a waitress for serving a meal costing $6.00. What percent of the bill was her tip?

a)

90

b)

18%

c)

15

d)

15%

2.

No-Freeze antifreeze mixture contains 30% alcohol. How much alcohol is there in 15 quarts of No-Freeze?

a)

4.5

b)

45

c)

450

d)

4.4

3.

Restaurant etiquette dictates that you should leave a 15% tip for the server if the service is acceptable. If that is the case, how much should you tip if your total is $24.00?

a)

360

b)

3.6

c)

$3.60

d)

$3.6

4.

Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?

a)

82

b)

80%

c)

800%

d)

8%

5.

In a volleyball game, Caroline served the ball over the net 16 out of 20 times. What percent did she not make her serve over the net?

a)

1600

b)

80

c)

80%

d)

800

6.

A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?

a)

28

b)

2800

c)

36

d)

14

7.

What is Shaun’s percent grade if he got 23 correct out of 25?

a)

0.92

b)

92%

c)

75%

d)

25%

8.

Calculate 5% of 88.5cm?

a)

88.5

b)

8.5

c)

.85

d)

885

9.

Sara wants to buy a pair of shoes that cost $89.00. They are on sale for 20% off. What is the sale price?

a)

1780

b)

17.8

c)

$17.80

d)

$1.78

10.

A drill at Lowes is $35.99, but you have a 20% coupon. How much will the drill cost after you use a coupon?

a)

$25.00

b)

$28.70

c)

$30.00

d)

$25.50

11.

A $52 video games is advertised for 20% off. What is the new price after the discount?

a)

$10.40

b)

$41.6

c)

$41.60

d)

$20.00

12.

The same video game that is now $41.60 has a 6% sales tax added on at the cash register. What is the final cost of the game?

a)

$44.1

b)

$250

c)

$44.10

d)

$50.00

13.

Maya wants to upgrade her cell phone. The one she wants is $220, but she is able to get it 60% off. How much would the phone be with the discount?

a)

$132.00

b)

$88.00

c)

$130

d)

88

14.

Kimmy's family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill?

a)

$11.25

b)

$73.75

c)

73.75

d)

$51.25

15.

A car radio is $275 originally. Lilly has a coupon for 15% off. How much will Lilly spend on the car radio?

a)

$41.25

b)

41.25

c)

233

d)

$233.75

16.

Alexis went to the annual holiday sale at Forever 21. Everything in the store was 10% off. If she bought a sweater that was priced $12.99, how much would Alexis pay for the sweater after the discount?

a)

$12.00

b)

$13.00

c)

$11.69

d)

$11.45

17.

A new phone costs $250. The sales tax in Virginia is 5%. How much is the tax?

a)

$125.00

b)

$5.00

c)

$12.5

d)

$12.50

18.

I went out to dinner with my family last night and it cost $42.00. My parents wanted to tip the waitress 15%. How much was the tip?

a)

$6.30

b)

$6.3

c)

$15.00

d)

6.30

19.

What is 52% of 142?

a)

73.84

b)

74

c)

42

d)

12

20.

What would be the increase in price for a $160 microwave with a 20% mark-up?

a)

$43.00

b)

$32.00

c)

$15.00

d)

32

21.

A tip is a .....

a)

mark-up

b)

discount

22.

A shirt that is on sale is considered a ....

a)

mark - up

b)

discount

23.

When there is a discount you...

a)

add

b)

subtract

24.

When there is a mark up you....

a)

add

b)

subtract

25.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
26.
About 13 out of 20 homes have a personal computer.  On a street with 60 homes, how many would you expect to have a personal computer?
a)
7 homes
b)
39 homes
c)
73 homes 
d)
40 homes
27.
A 6-ounce package of fruit snacks contains 45 pieces.  How many pieces would you expect in a 10-ounce package?
a)
25 pieces
b)
35 pieces
c)
75 pieces
d)
70 pieces
28.
Sue types 3 pages in the same amount of time that Mary types 4.5 pages.  If Sue and Mary start typing at the same time, how many pages will Mary have typed when Sue has typed 11 pages?
a)
16.5 pages
b)
16 pages
c)
15 pages
d)
15.5 pages
29.
A grading machine can grade 48 multiple-choice tests in 1 minute.  How log will it take the machine to grade 300 tests?
a)
6 minutes
b)
6.25 minutes
c)
5.25 minutes
d)
5 minutes
30.
A shop produces 39 wetsuits every 2 weeks.  How long will it take the shop to produce 429 wetsuits?
a)
18 wk
b)
20 wk
c)
22 wk
d)
24 wk
31.
Of the 50 fish John caught from the lake, 14 were trout.  The estimated population of the lake is 7,500.  About how many trout would you expect to be in the lake?
a)
2,100 trout
b)
2,000 trout
c)
2,200 trout
d)
2,300 trout
32.
Solve:   3.6 / 9 = b / 0.5
a)
5
b)
2
c)
0.2
d)
0.4
33.
Solve:  14 / 1.5 = 4.2 / y
a)
4.5
b)
0.45
c)
45
d)
450
34.
The ratio of boys to girls in history class is 4 to 5. How many girls are in the class if there are 12 boys in the class?
a)
12 girls
b)
15 girls
c)
5.3 girls
d)
27 girls
35.
Sara can type 90 words in 4 minutes. About how many words would you expect her to type in 10 minutes at this rate?
a)
900 words
b)
180 words
c)
225 words
d)
360 words
36.
Two slices of Dan’s Famous Pizza have 230
Calories. How many Calories would you expect to be in 5 slices of the same pizza?
a)
2.5 calories
b)
575 calories
c)
250 calories
d)
460 calories
37.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
38.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
39.
The currency in China is the Yuan. The exchange rate is approximately 7.7 Yuan = $6.50. At this rate, how many dollars would Dawson get if he exchanged 37.2 Yuan?
*Round answers to nears tenth. Round dollar amounts to the nearest cent
a)
$33.28
b)
$44.07
c)
$30.62
d)
$31.40
40.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
41.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
42.
A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she earn in September? 
a)
$164
b)
$256
c)
$404
d)
$324
43.
Find the percent increase. Round to the nearest percent.
From $5 to $8 
a)
40%
b)
60%
c)
55%
d)
65%
44.
Find each percent increase. Round to the nearest percent.
From 13 friends to 14 friends  
a)
20%
b)
12%
c)
15%
d)
8%
45.
Find each percent increase. Round to the nearest percent.
From 86 books to 150 books 
a)
74%
b)
62%
c)
81%
d)
58%
46.
Find each percent decrease. Round to the nearest percent.
From $80 to $64 
a)
35%
b)
10%
c)
20%
d)
25%
47.
Find each percent decrease. Round to the nearest percent.
From 90 points to 45 points 
a)
55%
b)
50%
c)
45%
d)
35%
48.
Find the new amount given the original amount and the percent of change.
$9; 10% increase 
a)
$9.10
b)
$10.00
c)
$9.90
d)
$10.10
49.
Find the new amount given the original amount and the percent of change.
340 pages; 20% decrease 
a)
320 pages
b)
240 pages
c)
272 pages
d)
360 pages
50.
Mr. Serfass has 25 students in his class and 2 students were absent.What is the percent of change?
a)
56%
b)
8%
c)
9%
d)
92%
51.
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent of change?
a)
24%
b)
20%
c)
11%
d)
50%
52.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
53.
What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
54.
What is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
55.
What is the scale factor?
a)
2
b)
3/2
c)
2/3
d)
1/2
56.
What is the scale factor?
a)
1/2
b)
7/3
c)
2
d)
10/3
57.
Rodney has a class project that needs to have a height of 10, and a length of 4. If he makes a scale model of a space ship. What would the height be if the length of the ship was 16?
a)
60
b)
40
c)
12
d)
120
58.
Hilly and Amara are comparing drawings, Amara said her drawing was 20in tall and the length of 14in. What is the height of Billys drawing if it had a length of 7in?
a)
15
b)
10in
c)
10mm
d)
1in
59.
Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards
a)
1372
b)
5
c)
14
d)
7
60.
An architect is drawing a house and decides that 1.5 inches = 2 feet in his drawing. In real life the living room has a length of 17 feet. How long will the length of the room be on his blueprint (drawing)?
a)
12.75 inches
b)
15.5 inches
c)
22.67 inches
d)
51 inches
61.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
62.
The height of a telephone pole on a map is 6 cm. The scale is 2cm:20m. What is the actual height of the telephone pole?
a)
6 m
b)
10 m
c)
18 m
d)
60 m
63.
When a scale drawing becomes larger than the original it is called a ...
a)
ballooner
b)
enlargement
c)
reduction
d)
correlation
64.
A rectangle has a side length of 60. The image is created with a scale factor of 1/4. What is the new length?
a)
240
b)
64
c)
15
d)
30
65.
A scale drawing that measures 8 units wide and an original that measures 4 units wide has a scale factor of...
a)
2:1
b)
8:1
c)
bigger
d)
1:2
66.
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 life. How long is the yard in the drawing?
a)
39 inches
b)
156 inches
c)
38 inches
d)
157 inches
67.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
68.
All angles in similar figures are congruent.  
a)
True
b)
False
69.
Two objects that are the same shape but not necessarilly the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
70.
Sides in similar figures must be proportional.  
a)
True
b)
False 
71.
Two shapes that are similar are also congruent.
a)
True
b)
False
72.
Are the following similar? Why or why not?
a)
Yes, the angles match each other.
b)
No, the corresponding angles are not equal.
c)
No, the side lengths are not proportional.
d)
Yes, the sides are congruent.
73.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape so it's similar.
d)
No, different sizes all together.
74.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
75.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
76.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
77.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
Use scratch paper to draw your figure to help you set up a proportion.
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
78.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
79.
What is the scale factor for the similar figures?
a)
2/3 ≈ .667
b)
3/2 = 1.5
c)
9/4 = 2.25
80.
Find missing side
a)
5
b)
7
c)
9
d)
11
81.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
82.
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
83.
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
84.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
85.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 
a)
72 in
b)
60 in
c)
62 in
d)
80 in
86.
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
87.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
88.
What is the scale factor for the similar figures?
a)
3/5 
b)
2 
c)
1/2 

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