Free Printable Rates, Proportions, & Data Review

1.

Identify the sets to which the following real number belongs. Check all that apply.

$0.\overline{54}$

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

2.

Identify the sets to which the following real number belongs. Check all that apply.

$\pi$

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

3.

Identify the sets to which the following real number belongs. Check all that apply.

$630$

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

4.

Classify the Number: -23

a)

Rational

b)

Real, rational, integer

c)

integer

d)

Real, irrational, whole

5.

Classify √35.

a)

Rational, Integer

b)

Whole, Integer, Rational

c)

Irrational, Integer

d)

Irrational

6.

What number below is a natural, whole, integer, rational, and real number ?

a)

-4

b)

5.1

c)

0.7

d)

3

7.

Jason runs at a pace of 7 miles per hour and his friend runs at a pace represented by the equation y = 6x where y is distance in miles and x is time in hours. Who runs faster?

a)

Jason because he runs at a pace of 6 miles per hour.

b)

His friend because he runs at a pace of 6 miles per hour.

c)

Jason because he runs at a pace of 7 miles per hour.

d)

His friend because he runs at a pace of 7 miles per hour.

8.

Which panda was heavier when he was born?

a)

Mochi because he weighed 2 lbs

b)

Kappa because he weighed 2 lbs

c)

Machi because he weighed 5 lbs

d)

Kappa because he weighed 5 lbs

9.

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

a)

Brandi's luggage weighs more because it weighs 40 lbs per bag.

b)

Javier's luggage weighs more because it weighs 40lbs per bag.

c)

Brandi's luggage weighs more because it weighs 30 lbs per bag.

d)

Javier's luggage weighs more because it weighs 30 lbs per bag.

10.

Compare the rates that each rental store charges per hour.

a)

Water's Edge Rafts has a lower rate because they charge $6 per hour.

b)

Water's Edge Rafts has a lower rate because they charge $5 per hour.

c)

Ryan's Rafts has a lower rate because they charge $2.25 per hour.

d)

Ryan's Rafts has a lower rate because they charge $15.00 per hour.

11.

Who has the greater rate of change?

a)

CJ has a greater rate of change with 13/2

b)

Holland has a greater rate of change with 6

c)

CJ has a greater rate of change with 2/13

d)

They have the same rate of change.

12.

Tom is deciding between two cars based upon the gas consumption. He wants to get the car that gets more miles per gallon.
Car A traveled 90 miles using 5 gallons of gas. Car B traveled 168 miles using 8 gallons of gas. How many mpg does car A get? How many mpg does Car B get? Which car should Tom buy?

a)

Car A 21 mpg, Car B 18 mpg, Car B

b)

Car A 16 mpg, Car B 21 mpg. Car A

c)

Car A 18 mpg, Car B 21 mpg, Car A

d)

Car A 18 mpg, Car B 21 mpg Car B

13.

Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.

a)

Decrease of 40%

b)

Decrease of 10%

c)

Decrease of 30%

d)

Decrease of 20%

14.

60 miles per hour into meters per second

a)

28.6 meters per second

b)

28.6 meters per minute

c)

26.8 meters per second

d)

26.8 meters per minute

15.

721 lbs per week into kilograms per second

a)

.54 kilograms per second

b)

.0054 kilograms per second

c)

.00054 kilograms per second

d)

.054 kilograms per second

16.

12080 gallons per month into liters per hour

a)

63.5 liters per hour

b)

64.5 liters per hour

c)

53.4 liters per hour

d)

53.6 liters per hour

17.

How many pounds are in 3 kilograms? (1 kg = 2.20lbs)

a)

6.60 lbs

b)

5.50 lbs

c)

4.40 lbs

d)

3.30 lbs

e)

2.20 lbs

18.

How many grams are in 2.5 pounds? (1 lb = 454 g)

a)

1100 g

b)

1115 g

c)

1135 g

d)

1150 g

e)

1175 g

19.

Solve:

a)

-9

b)

-28

c)

9

d)

4

20.

Solve:

a)

18

b)

3

c)

4

d)

6

21.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

22.

Solve for b

a)

8

b)

17/12

c)

4/3

d)

1/8

23.

A person ate 2400 calories in a day. Of these, 36% came from fat. How many calories came from fat?

a)

984

b)

830

c)

1142

d)

864

24.

Ms. Hensley's family owns a green bean farm. If Ms. Hensley can grow 225 bushels in 3 acres, how many bushels can she grow in 9.6 acres?

a)

720 bushels

b)

675 bushels

c)

75 bushels

25.

6 of the 16 students in Mrs. Crew's class were serving detention. What is the percent of students serving detention?

a)

16%

b)

60%

c)

37.5%

d)

62.5%

26.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82 Calculate the mean

a)

74.6

b)

1044

c)

6.5

d)

74.1

27.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82

Calculate the median

a)

74.5

b)

6.5

c)

74.6

d)

74, 76

28.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82

Calculate the mode

a)

74, 76

b)

74.5

c)

74.6

d)

6.5

29.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82 Calculate the range

a)

13

b)

6.5

c)

74.6

d)

74, 76

30.

The histogram shown summarizes the responses of 100 people when asked, “What was the price of the last meal you purchased?” Based on the histogram, which of the following could be the interquartile range of the prices?

a)

40

b)

21

c)

10

d)

5

e)

3

31.

How many data points fall between 110 and 160 if there are 280 data points total?

a)

280

b)

140

c)

40

d)

200

32.

What is the median of the data?

a)

200

b)

100

c)

90

d)

140

33.

Which restaurant has a higher median wait time?

a)

Lucy's Steakhouse

b)

Gary's Grill

c)

They are the same

34.

The box and whisker plots below, illustrate the scores earned by 2 biology classes on a recent test.

Select all statements that are supported by the plots above.

a)

The range of the 3^rd period scores is less than the range of the 5^th period scores.

b)

The median of the 5^th period scores is greater than the median of the 3^rd period scores.

c)

The number of students who took the test is larger in the 5^th period class than in the 3^rd period class.

d)

The interquartile range is the same for both classes.

e)

The 3^rd period class has a higher median but has a lower range than the 5^th period class.

35.

The data below shows the scores of two groups of ten students on a math quiz and a science quiz.

Math: 72, 92, 88, 67, 54, 58, 64, 76, 65, 72

Science: 84, 78, 56, 89, 54, 68, 75, 78, 84, 60

Based on the data, which statements are true?

a)

The median score was greater for math, but the variability was greater for science.

b)

The median score was greater for science, but the variability was greater for math.

c)

Both the median score and variability for the math scores are less than that of the science scores.

d)

Both the median score and variability of the math scores are greater than that of the science scores.

e)

The range for science is less than the range for math.

36.

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days.

Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

a)

Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

b)

Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

c)

There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

d)

There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

37.

The ages of the starting players of two soccer teams are shown below.

Tarrasques: 16, 18, 15, 14, 17, 17, 18, 16, 17, 14, 17

Dragons: 18, 14, 17, 15, 15, 14, 16, 18, 16, 18, 16

Based on this data, select all the true statements below.

a)

The median of ages on the Tarrasques team is greater than the median of ages on the Dragons team.

b)

The mean of the ages on the Tarrasques team is greater than the median of the ages on the Dragons team.

c)

The median of ages on the Tarrasques team is one greater than the range of ages on the Dragons team.

d)

The mean of the ages on the Tarrasques team is less than the mean of the ages on the Dragons team.

e)

The mean of the ages on the Tarrasques team is greater than the mean of the ages on the Dragons team.

38.

The box-and-whisker plots below show the scores earned by 6^th and 7^th graders on a year-end reading test.

Which statement is best supported by the box-and-whisker plots?

a)

The range of the 7^th grade scores is greater than the range of the 6^th grade scores.

b)

The median of the 6^th grade scores is greater than the median of the 7^thgrade scores.

c)

The mean of the 7^th grade scores is less than the mean of the 6^th grade scores.

d)

The number of 6^th graders who took the test is greater than the number of 7^th graders who took the test.

39.

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

Median: 54

First Quartile: 49

Third Quartile: 67

IQR: 18

b)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 21

c)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 22

d)

Median: 54

First Quartile: 49

Third Quartile: 69

IQR: 20

Rates, Proportions, & Data Review

Total questions: 39

Worksheet time: 2hrs 39mins

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