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2.3 Study Guide

Total questions: 96

Worksheet time: 6hrs 5mins

Name
Class
Date
1.

George and his friends found a deal for a canoe trip. The deal said it was 30% of the regular price. They paid a total of $312 for 4 adults. What was the regular cost of the canoe trip for 1 adult?

a)

$23.40

b)

$260

c)

$111.43

d)

$86.12

2.

Taylor wants to buy a pair of shoes that cost $179.99. She goes to the store and realizes they are having a sale where all items are discounted by 25%. What is the total amount that Taylor will pay for the shoes if 7% sales tax is applied after the discount?

a)
$165.99
b)

$129.99

c)

$125.31

d)

$144.44

3.

Trevor makes an investment of $4,350 into an account that earns 2% simple interest per year. What is the total amount that Trevor will have in the account after 6 years?

a)

$522

b)

$5,220

c)

$4,872

d)

$9,570

4.

In a science lab, students were tasked with measures the mass of an object. The object's estimated mass was 138 grams, but when Landon measured it, he found it to be 241 grams. What is the percent error for Danielle's measurement, rounded to the nearest hundredth of a percent?

a)
89.27%
b)
123.45%
c)

42.74%

d)
75.36%
5.

Shelly purchased a phone whose battery life was originally 12 hours. The manufacturer remade the battery so that the battery life is now 13.71 hours. What is the percent change of battery life?

Type your answer like this:

12% decrease

(a)  

6.

A playground has a sandbox. When the height of the sand in the sandbox is 3.25 in, the volume of the same is 210 in3in^3 . If the height of the sand is 4.5 in, what is the volume of sand in cubic inches ( in3in^3 )?

a)

290.8 in3290.8\ in^3

b)

301.14 in3301.14\ in^3

c)

151.7 in3151.7\ in^3

d)

189.3 in3189.3\ in^3

7.

A red fox was tracked through forests, neighborhoods, and state parks across Central Florida logging approximately 650 miles in 42 days. For 38.5 miles of the fox's journey, she was walking along the Kissimmee River. The red fox traveled along the Kissimmee River for approximately how many days?

a)

595.8 days

b)

709 days

c)

4.3 days

d)

2.5 days

8.

Hummingbird feeders are filled with hummingbird nectar. Hummingbird nectar is made using a ratio of 2 ounces of syrup to 5 ounces of water. How much syrup, in ounces, is needed to make 21 ounces of hummingbird nectar?

a)

8.4 ounces

b)

6 ounces

c)

73.5 ounces

d)

52.5 ounces

9.

Telemarketers are able to make 65 phone calls in 5 hours. At this rate, how many phone calls can they make in 2 hours?

a)

650 phone calls

b)

26 phone calls

c)

32 phone calls

10.

You are taking a road trip to Disney World with your family. The car is traveling at a speed of 67 mile per hour. After how many hours will the car travel 871 miles?

a)

10 hours

b)

804 hours

c)

13 hours

11.

The BRMS soccer coaches are ordering soccer balls for next season. They found a deal in Nike soccer balls: 8 balls for $143.50. If the coaches need to order 32 balls, how much will they cost?

a)

$430.50

b)

$574

c)

$443.50

12.

At basketball camp, there should be one coach for every eight players. If 272 players register for the camp, how many coaches should be there?

a)

34 coaches

b)

18 coaches

c)

27 coaches

13.

The 7th grade BRMS students are going on a field trip to the Renaissance Faire in May. They need one chaperone for every ten students. If there are 198 students going on the trip, how many chaperones do they need? *Think: can you have a fraction of a person?*

a)

20 chaperones

b)

19.8 chaperones

c)

19 chaperones

14.

One gram of carbohydrates provides 4 calories. A granola bar contains 25 grams of carbohydrates. How many calories come from carbohydrates in one granola bar?

a)

25 calories

b)

100 calories

c)

75 calories

15.

Select and solve a proportion for the situation below.

A 2-month membership to the gym costs $180. Ryker would like to be a member for 7 months. What is the total cost?

a)

x = $51.43

b)
c)
d)

x = $630

e)

x = $2520

16.

Select and solve a proportion for the situation below.

Latyana can run 3 miles in about 24 minutes. How long will it take her to run 5 miles?

a)
b)

x = 40 min.

c)
d)

x = 360 min.

e)

x = 35 min.

17.

Select and solve a proportion for the situation below.

The scale of a model dinosaur is 1/2 inch for every 15 feet in real life. How tall would a model dinosaur be if the real life dinosaur was 90 feet tall?

a)
b)

x = 30 inches

c)

x = 3 inches

d)
e)

x = 675 inches

18.

Which proportion shows how many points a student needs to get on the test that is worth 36 points to get a 30%?

a)

p36=30100\frac{p}{36}=\frac{30}{100}

b)

p30=10036\frac{p}{30}=\frac{100}{36}

c)

p36=10030\frac{p}{36}=\frac{100}{30}

d)

p100=3630\frac{p}{100}=\frac{36}{30}

19.

The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted 24 passes, how many did he complete?

a)

21 passes

b)

8 passes

c)

3 passes

d)

27 passes

20.

Which proportion shows how many points a student needs to get on the test that is worth 55 points to get a 11%?

a)

p55=11100\frac{p}{55}=\frac{11}{100}

b)

55p=11100\frac{55}{p}=\frac{11}{100}

c)

p100=1155\frac{p}{100}=\frac{11}{55}

d)

p11=55100\frac{p}{11}=\frac{55}{100}

21.

To make green paint, a mixture of paint must contain 2 parts blue pain to 9 parts yellow paint. How much yellow paint is needed when there is 36L of blue paint?

a)

8L of yellow paint

b)

18L of yellow paint

c)

182L of yellow paint

d)

72L of yellow paint

22.

Solve the proportion 67=42x\frac{6}{7}=\frac{42}{x}  

a)

x=42x=42  

b)

x=49x=49  

c)

x=36x=36  

d)

x=7x=7  

23.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
24.

In the old west, the pony express could deliver 150 pieces of mail by horseback in 3 days. At this rate, how many pieces of mail could they deliver in 5 days?

a)

250

b)

185

c)

450

d)

300

25.

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

(a)  

26.

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?

(a)  

27.

A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length on the drawing. 

(a)  

28.

A model of a car is 3 in wide and 2 in tall.  The actual car is 4 ft wide, how tall would it be? Round to the nearest tenth.

(a)  

29.

Will spent $3.75 for 3 pounds of granola. How many pounds of granola can Will buy for $10

(a)  

30.

If Angel can type 15 words in 10 seconds, how many could he type in 1 minute if he kept up that same pace?

(a)  

31.

A triangle is 4 in tall and 3 in wide. If it is enlarged to a height of 8 in, then how wide will it be?

(a)  

32.

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)  

33.
In your class 6 students out of 30 students are left-handed. What percent of students are left-handed?
a)
18%
b)
20%
c)
5%
d)
60%
34.

The Rangers are projected to win 70% of their games this year.  If they play 190 games, how many games should they win?  

(a)  

35.
At a shelter, 15% of the dogs are puppies. If there are 60 dogs at the shelter, how many are puppies?
a)
400
b)
25
c)
9
d)
42
36.

Landon has 200 songs downloaded on his phone. Of these songs, 24 are country songs. What percent of Landon's songs are country?

a)

48%

b)

12%

c)

8%

d)

36%

37.

During lunch today, a number of 7th grade students were asked to name their favorite city. The results are shown in the table to the right. What percent chose New York City as their favorite?

a)

8%

b)

17.5%

c)

21.5%

d)

33%

e)

14.5%

38.

How long would it take Cole to eat 74 pancakes if he eats 20 pancakes in 13 minutes?

a)

19 minutes

b)

54 minutes

c)

48 minutes

d)

71 minutes

39.
What is 64% of 75?
a)
117
b)
48
c)
85
d)
56
40.
Forty children in an after school club went to the carnival. This is 25% of the children in the club. How many children are in the club?
a)
10
b)
160
c)
200
d)
900
41.
Ella has 40 CDs in her music collection. 75% of her CDs are rock music. How many rock CDs does she have?
a)
30
b)
53
c)
10
d)
16
42.

What percent does the green portion of this model represent?

a)

12.5%

b)

1.8%

c)

18%

d)

8.25%

e)

11%

43.

Shaina bought 14 bagels for her and some friends. 3 of those bagels were blueberry. About what percent were blueberry bagels?

a)

42%

b)

12%

c)

33%

d)

21%

44.
75% of what number is 15?
a)
11
b)
45
c)
20
d)
5
45.
The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats were sold? 
a)
85%
b)
111%
c)
90%
d)
79%
46.
Which is the better buy?
a)
A 4 pack of t-shirts for $2.24
b)
A 6-pack of t-shirts for $3.12
c)
An 8 pack of t-shirts for $4.24
47.
The produce department of a grocery store sold 288 pounds of tomatoes. The weight represented 72% of the shipment the store received. How many pounds of tomatoes were originally received? 
a)
40
b)
425
c)
207
d)
400
48.

Dr. Van Pelt files 320 insurance claims every month. If 5% of those claims are rejected, how many claims are rejected?

a)

15

b)

64

c)

16

d)

56

49.

On Sunday, the Panther’s Teddy Bridgewater completed 22 of his 28 passes. To the nearest tenth, what percent of his passes did he complete?

a)

81.2%

b)

76.2%

c)

78.3%

d)

19.3%

e)

78.6%

50.

Which of the following represents the TWO correct percent proportions

a)

wholepart =%100\frac{whole}{part\ }=\frac{\%}{100}

b)

partwhole= %100\frac{part}{whole}=\ \frac{\%}{100}

c)

isof=%100\frac{is}{of}=\frac{\%}{100}

d)

ofis =%100\frac{of}{is\ }=\frac{\%}{100}

51.

Last week I made a batch of cookies. The recipe makes 30 cookies. I ate 25% of them. How many cookies did I eat?


Select the TWO correct ways to set up this equation:

a)

30whole=25100\frac{30}{whole}=\frac{25}{100}

b)

30% of 25 = part 30\%\ of\ 25\ =\ part\

c)

part30=25100\frac{part}{30}=\frac{25}{100}

d)

25% of 30 = part25\%\ of\ 30\ =\ part

52.

Solve the following percent proportion to find the whole:

72w=40100\frac{72}{w}=\frac{40}{100}  

a)

w = 120w\ =\ 120  

b)

w = 180w\ =\ 180  

c)

w = 28.8w\ =\ 28.8  

d)

w = 1.8w\ =\ 1.8  

53.

You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assignments have you completed?

a)

50%50\%

b)

20%20\%

c)

45%45\%

d)

62%62\%

54.

Ms. Smith bought a box of 10 cupcakes. She ate 30% of the cupcakes. How many did she eat?


**SOLVE!**



(a)  

55.

70% of the students at a school went on a field trip to an Aquarium. If there were 350 students on the trip, how many students attend that school?

(a)  

56.

A painter has finished painting 45% of a really long fence. If she has painted 90 feet so far, how long is the entire fence?

(a)  

57.

A mountain climber has made it 80% of the way up a mountain. If they have climbed to an altitude of 3,200 meters so far, how tall is the mountain?

(a)  

58.

If a car’s gas tank has 15 gallons of gas in it, and the gauge says the tank is 75% full, then how many gallons can the entire tank hold?

(a)  

59.

A fruit stand’s most popular fruit is strawberries, which account for 35% of their total sales. If they usually sell $70 worth of strawberries each day, what would their usual daily income be?

(a)  

60.
The girls soccer team finished the season with a record of 7 wins and 3 losses. What is the ratio of losses to wins?
a)
3:7
b)
7:3
c)
3:10
d)
7:10
61.
Richard rowed a canoe for ½ hour and made it 3½ miles down the river.  What is his average speed in miles per hour?
a)
6mph
b)
6 1/2 miles per hour
c)
7 miles per hour
d)
1/4 miles per hour
62.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
63.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
64.
Cross Multiply/Cross Products
a)
15
b)
420
c)
28
d)
16
65.
Solve the proportion:
a)
3
b)
4
c)
9
d)
6
66.
Solve.
a)
4
b)
1
c)
16
d)
2
67.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
68.
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
69.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 
a)
75
b)
51
c)
36
d)
34
70.
You are purchasing a T.V for $990 T.V with 9% sales tax. What is the final price of the T.V.?
a)
$ 1881.00
b)
$ 1079.00
c)
$ 1,079.10
d)
$ 1,709.1
71.

Johnny bought a computer that was 20% off the regular price of $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price Johnny paid for it?

a)

$302.40

b)

$864.00

c)

$933.12

d)

$1382.40

72.

Jill bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discount that Jill received when buying the sweater?

a)

15%

b)

37.5%

c)

60%

d)

62.5%

73.

Condoleeza's service charge at a beauty salon was $72.60 before tax. The sales tax rate was 8%. If she added 20% of the amount as a tip, how much did she pay for the service at the salon?

a)

$87.12

b)

$92.93

c)

$100.60

d)

$145.20

74.

A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added. The group also tipped 18% on the amount after the sales tax was added. What was the total amount of money that the group paid for the lunch?

a)

$47.79

b)

$40.50

c)

$3.00

d)

$63.50

75.

Jabari bought a model rocket kit from Glamazon.com. The price of the kit was $124.95. The state sales tax of 7% was added, and then a $10 charge for shipping was added after the sales tax. What was the total amount that Jabari paid, including tax and shipping?

a)

$141.95

b)

$8.75

c)

$143.70

d)

$133.70

76.

The number of students enrolled at a high school has increased from 398 to 503. Which is the best estimate of the percent of increase in enrollment?

a)

10%

b)

20%

c)

25%

d)

50%

77.

A sweater originally cost $37.50. Last week, Nya bought it at 20% off. How much money was deducted from the original price?

a)

$7.50

b)

$17.50

c)

$20.00

d)

$30.00

78.

Dominic bought a jacket on sale for 50% off the original price and another 25% off the discounted price. If the jacket originally cost $88, what was the final sale price that Dominic paid for the jacket?

a)

$22

b)

$33

c)

$44

d)

$66

79.

Kayla works in a shoe store and is paid a 12% commission on her sales. In January, her sales total was $3,740. About how much did Kayla earn in commission for January?

a)

$312

b)

$449

c)

$3,291

d)

$4,189

80.

Grammy is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale price of the jeans including tax?

a)

$21.60

b)

$34.56

c)

$42.34

d)

$44.16

81.

A store has a sale for 15% off. You want a jacket that was originally $45. How much will your discount be?

a)

6.75

b)

51.75

c)

38.75

d)

45.00

82.

A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added. The group also tipped 18% on the amount after the sales tax was added. What was the total amount of money that the group paid for the lunch?

a)

$47.79

b)

$40.50

c)

$3.00

d)

$63.50

83.

Jabari bought a model rocket kit from Glamazon.com. The price of the kit was $124.95. The state sales tax of 7% was added, and then a $10 charge for shipping was added after the sales tax. What was the total amount that Jabari paid, including tax and shipping?

a)

$141.95

b)

$8.75

c)

$143.70

d)

$133.70

84.
Zed went to the store and bought a bag of chips.  He estimated there would be 350 chips in the package, but realized there were only 210 chips in that package.  What was his percent error?
a)
35%
b)
67%
c)
85%
d)
92%
85.
The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error?
a)
21%
b)
17.37%
c)
17.4%
d)
21.02%
86.
The students measured length during a science experiement, they got 12 cm. But the actual measurement was 14.25 cm. What was the percent error?
a)
15.79%
b)
18.75%
c)
2.25%
d)
18%
87.
The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?
a)
16.67%
b)
20%
c)
2500%
d)
80%
88.
Jessie estimates the weight of her cat to be 8 pounds.  The actual weight of the cat was 10 pounds.  Find the percent error.  
a)
15%
b)
20%
c)
25%
d)
30%
89.
Bob estimates that there will be 230 people who attend the concert.  There was an actual total of 300 people who attended.  Find the approximate percent error.  
a)
23%
b)
33%
c)
27%
d)
37%
90.
An archaeologist estimated that a fossil was 520 years old. It was actually 500 years old. What was the percent error?
a)
4%
b)
20%
c)
3.8%
d)
none of these
91.
Ms. Brown estimated 70 students would try out for the Cross Country team. This year, only 63 students tried out. What was her percent error?
a)
11%
b)
50%
c)
12%
d)
1%
92.
Mr. Nacerino estimates that it will take him 48 minutes to run 8 miles. It actually takes him 60 minutes. What was his percent error?
a)
20%
b)
12%
c)
25%
d)
8%
93.

Find the percent error. Round to the nearest tenth of a percent.

Actual speed: 38 mph

Estimated speed: 35 mph

a)

8.1%

b)

0.79%

c)

7.9%

d)

6.8%

94.
An online auction started the bid on an item at $20. The item sold for $50. What was the percent increase to the nearest percent?
a)
150%
b)
15%
c)
60%
d)
17%
95.
In 1999, the price of unleaded fuel was $1.09.  In 2015, the price of unleaded fuel is $1.89. What is the percent change?
a)
173% increase
b)
73% increase
c)
73% decrease
d)
27% increase
96.
Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%