Question: Dr. Pratt, a zoo director, researched ticket prices at other zoos around the country. Of the zoos shown, which charges the most for a child ticket?

Choices:
- Bronx
- Central Florida
- Central Park
- Boise

Answer: Bronx

Zoo | Adult | Child
Central Park | $10 | $5
Southern Nevada | $8 | $6
Central Florida | $11 | $7
Bronx | $15 | $11
Boise | $6 | $3

Central Park
Southern Nevada
Central Florida
Bronx
Boise

Solution:
Look at the numbers in the Child column. Find the greatest number in this column.

The greatest number is $11.00, which is in the Bronx row. The Bronx Zoo charges the most for a child.


Question: Some teachers compared how many students are in their classes. What is the range of the numbers?

Answer: 21

Teacher | Number of students
Mr. Watson | 14
Mr. Chen | 35
Mrs. Truman | 17
Miss Urban | 27
Ms. Hershfeld | 31
Mrs. King | 19

Mr. Watson
Mr. Chen
Mrs. Truman
Miss Urban
Ms. Hershfeld
Mrs. King

Solution:
Read the numbers from the table.

14, 35, 17, 27, 31, 19

First, find the greatest number. The greatest number is 35.

Next, find the least number. The least number is 14.

Subtract the least number from the greatest number:

35 − 14 = 21

The range is 21.


Question: Sadie, a journalism student, counted the number of pages in several major magazines. What is the smallest number of pages?

Answer: 21

Solution:
Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.

Now find the lowest leaf in the first row. The lowest leaf is 1.

The smallest number of pages has a stem of 2 and a leaf of 1. Write the stem first, then the leaf: 21.

The smallest number of pages is 21 pages.


Question: Chloe has $7,949.00. Does she have enough to buy a painting signed by a famous artist and a bat signed by a famous baseball player?

Choices:
- yes
- no

Answer: no

shirt signed by a famous soccer player | $1,906.00
painting signed by a famous artist | $1,914.00
bat signed by a famous baseball player | $6,338.00
photograph signed by a famous television star | $4,057.00
jersey signed by a famous basketball player | $3,096.00

Solution:
Add the price of a painting signed by a famous artist and the price of a bat signed by a famous baseball player:

$1,914.00 + $6,338.00 = $8,252.00

$8,252.00 is more than $7,949.00. Chloe does not have enough money.


Question: Professor Harrell released the results of yesterday's pop quiz. How many students scored fewer than 63 points?

Answer: 17

Solution:
Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.

In the row with stem 6, count all the leaves less than 3.

You counted 17 leaves, which are blue in the stem-and-leaf plots above. 17 students scored fewer than 63 points.


Question: Each package has 10 pens. How many pens are in 4 packages?

Answer: 40

Number of packages | Number of pens
1 | 10
2 | 20
3 | 30
4 | ?

Solution: Count by tens. Use the chart: there are 40 pens in 4 packages.


Question: Garrett buys 0.8 pounds of Concorde pears. What is the total cost?

Answer: 1.60

green Anjou pears | $1/lb
red Anjou pears | $3/lb
Bartlett pears | $4/lb
Concorde pears | $2/lb
Osband pears | $3/lb
Bosc pears | $1/lb

green Anjou pears
red Anjou pears
Bartlett pears
Concorde pears
Osband pears
Bosc pears

Solution:
Find the cost of the Concorde pears. Multiply the price per pound by the number of pounds.
$2 × 0.8 = $1.60
The total cost is $1.60.


Question: Look at the following schedule. Which movie ends at 6.20 P.M.?

Choices:
- Witches and Wizards on Broomsticks
- A Mysterious Mystery
- Time Traveler II
- Return to Tumbleweed City

Answer: Return to Tumbleweed City

Movie | Begin | End
Two Funny Guys in a Big City | 7:50 A.M. | 10:50 A.M.
A Mysterious Mystery | 10:20 A.M. | 11:55 A.M.
Witches and Wizards on Broomsticks | 11:25 A.M. | 12:45 P.M.
Time Traveler II | 12:10 P.M. | 1:50 P.M.
Cartoon Penguin Adventure | 1:10 P.M. | 4:05 P.M.
Aliens from Outer Space | 3:20 P.M. | 4:45 P.M.
Return to Tumbleweed City | 3:50 P.M. | 6:20 P.M.

Two Funny Guys in a Big City
A Mysterious Mystery
Witches and Wizards on Broomsticks
Time Traveler II
Cartoon Penguin Adventure
Aliens from Outer Space
Return to Tumbleweed City

Solution: Find 6:20 P. M. on the schedule. Return to Tumbleweed City ends at 6:20 P. M.


Question: Becky is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Becky can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?

Choices:
- adding an upgrade
- buying a used phone

Answer: buying a used phone

Option | Change in phone price
Add an upgrade | $60
Buy a used phone | -$75

Solution:
To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.
Add an upgrade: |$60| = $60
Buy a used phone: |-$75| = $75
Buying a used phone results in a greater change in price. It reduces the price by $75.


Question: How much money does Damon need to buy 6 magazines?

Answer: 11.34

map of Canada | $9.08
book of crossword puzzles | $7.05
magazine | $1.89
map of the world | $3.06
book of piano music | $9.78

map of Canada
book of crossword puzzles
magazine
map of the world
book of piano music

Solution:
Find the total cost of 6 magazines by multiplying 6 times the price of a magazine.

$1.89 × 6 = $11.34

Damon needs $11.34.


Question: A pet store owner had her staff count the number of fish in each tank. How many tanks have at least 28 fish?

Answer: 14

Solution:
Find the row with stem 2. Count all the leaves greater than or equal to 8.

Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.

You counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 tanks have at least 28 fish.


Question: Mabel likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?

Choices:
- top of the skyscraper
- bottom of the mine

Answer: bottom of the mine

Location | Elevation (m)
Top of the skyscraper | 275
Bottom of the mine | -260

Top of the skyscraper
Bottom of the mine

Solution:
The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.
To find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.
Top of the skyscraper: |275| = 275
Bottom of the mine: |-260| = 260
The top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.


Question: The players on a quiz show received the following scores. Who had the lowest score?

Choices:
- Barbara
- Hanson
- Ezra
- Patrick

Answer: Patrick

Name | Score
Barbara | 48
Hanson | 45
Ezra | 46
Patrick | 43

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 43.

Now find the corresponding name. Patrick corresponds to 43.


Question: Some farmers compared how many sheep were in their flocks. What is the median of the numbers?

Answer: 67

Farmer | Number of sheep
Farmer Jo | 60
Farmer Bob | 86
Farmer Betty | 67
Farmer Sally | 57
Farmer Wendy | 76

Farmer Jo
Farmer Bob
Farmer Betty
Farmer Sally
Farmer Wendy

Solution:
Read the numbers from the table.

60, 86, 67, 57, 76

First, arrange the numbers from least to greatest:

57, 60, 67, 76, 86

Now find the number in the middle.

57, 60, 67, 76, 86

The number in the middle is 67.

The median is 67.


Question: Cassie's P.E. class participated in a push-up competition, and Cassie wrote down how many push-ups each person could do. How many people did fewer than 55 push-ups?

Answer: 10

Push-up competition (number of push-ups)

Solution:
Count all the leaves in the rows with stems 2, 3, and 4.

In the row with stem 5, count all the leaves less than 5.

You counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 people did fewer than 55 push-ups.


Question: Some students compared how many clubs they belong to. What is the range of the numbers?

Answer: 8

Name | Number of clubs
Finn | 8
Sam | 10
Nellie | 10
Karen | 4
Luther | 7
Dale | 9
Mason | 2
Wesley | 2

Finn Sam Nellie Karen Luther Dale Mason Wesley

Solution:
Read the numbers from the table.

8, 10, 10, 4, 7, 9, 2, 2

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

10 − 2 = 8

The range is 8.


Question: How much more does a cookbook cost than a map of Africa?

Answer: 5.66

comic book | $1.57
history book | $7.02
cookbook | $8.95
map of Africa | $3.29
dog calendar | $7.51

comic book
history book
cookbook
map of Africa
dog calendar

Solution:
Subtract the price of a map of Africa from the price of a cookbook.

$8.95 - $3.29 = $5.66

A cookbook costs $5.66 more than a map of Africa.


Question: Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?

Choices:
- Meg
- Becky
- Savannah
- Evelyn

Answer: Meg

Name | Number of stuffed animals
Meg | 263
Becky | 232
Savannah | 226
Evelyn | 236

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 263.

Now find the corresponding name. Meg corresponds to 263.


Question: Barry, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between May and June?

Answer: 6

Average waiting time at a doctor's office

Month | Waiting time (minutes)
May | 28
June | 34
July | 36
August | 33
September | 22

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{34 minutes - 28 minutes}{1 month}
 = \frac{6 minutes}{1 month}
 = 6 minutes per month
The rate of change between May and June was 6 minutes per month.


Question: Reagan kept track of the number of characters in each book she read. How many books had at least 30 characters?

Answer: 15

Solution:
Count all the leaves in the rows with stems 3, 4, and 5.

You counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 books had at least 30 characters.


Question: A pair of Knox High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2018 and 2019?

Answer: -3

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{12 games - 15 games}{2019 - 2018}
 = \frac{12 games - 15 games}{1 year}
 = \frac{-3 games}{1 year}
 = -3 games per year
The rate of change between 2018 and 2019 was - 3 games per year.


Question: Several people compared how many Web pages they had visited. What is the range of the numbers?

Answer: 8

Person | Number of Web pages
Tim | 7
Reba | 10
Justin | 10
Cooper | 9
Valeria | 4
Grace | 2
Harry | 8
Eric | 7

Tim Reba Justin Cooper Valeria Grace Harry Eric

Solution:
Read the numbers from the table.

7, 10, 10, 9, 4, 2, 8, 7

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

10 − 2 = 8

The range is 8.


Question: An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the most ice cream cones?

Choices:
- Tuesday
- Wednesday
- Thursday
- Friday

Answer: Thursday

Day | Number of ice cream cones
Tuesday | 848
Wednesday | 847
Thursday | 887
Friday | 878

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 887.

Now find the corresponding day. Thursday corresponds to 887.


Question: The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 45 points but fewer than 70 points?

Answer: 6

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 5.

Count all the leaves in the rows with stems 5 and 6.

You counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 people scored at least 45 points but fewer than 70 points.


Question: Some friends discussed the sizes of their coin collections. What is the range of the numbers?

Answer: 21

Name | Number of coins
Cora | 76
Harold | 74
Antonio | 86
Wayne | 65
Eliana | 65
Shannon | 67
Logan | 80
Kendra | 71

Cora Harold Antonio Wayne Eliana Shannon Logan Kendra

Solution:
Read the numbers from the table.

76, 74, 86, 65, 65, 67, 80, 71

First, find the greatest number. The greatest number is 86.

Next, find the least number. The least number is 65.

Subtract the least number from the greatest number:

86 − 65 = 21

The range is 21.


Question: Several people compared how many Web pages they had visited. What is the range of the numbers?

Answer: 7

Person | Number of Web pages
Tisha | 7
Wyatt | 7
Shawn | 8
Christine | 9
Lee | 3
Rafi | 4
Vince | 3
Kamal | 2

Tisha Wyatt Shawn Christine Lee Rafi Vince Kamal

Solution:
Read the numbers from the table.

7, 7, 8, 9, 3, 4, 3, 2

First, find the greatest number. The greatest number is 9.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

9 − 2 = 7

The range is 7.


Question: Dr. Hatfield, a zoo director, researched ticket prices at other zoos around the country. How much does an adult ticket to the Cleveland Zoo cost?

Answer: 10

Zoo | Adult | Child
Los Angeles | $13 | $8
Houston | $10 | $6
Cleveland | $10 | $7
Brookfield | $12 | $8

Los Angeles
Houston
Cleveland
Brookfield

Solution:
First, find the row for Cleveland. Then find the number in the Adult column.

This number is $10.00. An adult ticket to the Cleveland Zoo cost $10.


Question: Wanderlust Travel Agency asked customers when they plan to take their next trip. This frequency chart shows their answers. How many fewer people said their next trip will be in winter than in summer?

Answer: 34

Season | Frequency
fall | 12
spring | 19
summer | 47
winter | 13

Solution:
The frequencies tell you how many people are planning their next trip in each of the four seasons.
47 people said they plan to take their next trip in summer, and 13 people said winter. Subtract to find the difference.
47 − 13 = 34
So, 34 fewer people said their next trip will be in winter.


Question: How much money does Mitch need to buy a picnic table, an iron bench, and a lawn mower?

Answer: 1,195

fountain | $987.00
barbecue grill | $795.00
iron bench | $493.00
picnic table | $529.00
lawn mower | $173.00

fountain
barbecue grill
iron bench
picnic table
lawn mower

Solution:
Find the total cost of a picnic table, an iron bench, and a lawn mower.

$529.00 + $493.00 + $173.00 = $1,195.00

Mitch needs $1,195.00.


Question: Fans of the Oakland baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?

Answer: -4

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{38 games - 42 games}{2017 - 2016}
 = \frac{38 games - 42 games}{1 year}
 = \frac{-4 games}{1 year}
 = -4 games per year
The rate of change between 2016 and 2017 was - 4 games per year.


Question: The members of the cycling club compared how many miles they biked last week. Who biked the fewest miles?

Choices:
- Paul
- Anthony
- Keith
- Lauren

Answer: Keith

Name | Miles
Paul | 18
Anthony | 16
Keith | 12
Lauren | 19

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.

Now find the corresponding name. Keith corresponds to 12.


Question: A video store clerk looked up the number of movies checked out each day. How many more movies were checked out on Saturday than on Friday?

Answer: 424

Day | Number of movies
Thursday | 387
Friday | 122
Saturday | 546

Solution:
Find the numbers in the table.

Saturday: 546
Friday: 122

Now subtract: 546 - 122 = 424.

424 more movies were checked out on Saturday.


Question: Dalton kept a log of how many pages he read each month. In which month did Dalton read the most pages?

Choices:
- June
- July
- August
- September

Answer: July

Month | Number of pages
June | 60
July | 69
August | 64
September | 61

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.

Now find the corresponding month. July corresponds to 69.


Question: Warren found out the sizes of all the clubs at his school. How many clubs have exactly 64 members?

Answer: 0

Solution:
For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.

You counted 0 leaves. 0 clubs have exactly 64 members.


Question: In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library more than 3 times last month?

Answer: 7

Number of trips | Frequency
1 | 1
2 | 10
3 | 19
4 | 7

Solution:
Find the row for 4 times last month and read the frequency. The frequency is 7.

7 people went to the library more than 3 times last month.


Question: Dwayne graphed the daily low temperature for 6 days. What is the mean of the numbers?

Answer: 9

Day | Temperature (Â°C)
Wednesday | 5
Thursday | 14
Friday | 13
Saturday | 9
Sunday | 6
Monday | 7

Wednesday Thursday Friday Saturday Sunday Monday

Solution:
Read the numbers from the table.

5, 14, 13, 9, 6, 7

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

5 + 14 + 13 + 9 + 6 + 7 = 54

Now divide the sum by the number of numbers:

54 ÷ 6 = 9

The mean is 9.


Question: A charity recorded how many donations it received each month. In which month did the charity receive the most donations?

Choices:
- July
- August
- September
- October

Answer: October

Month | Number of donations
July | 353
August | 331
September | 358
October | 385

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 385.

Now find the corresponding month. October corresponds to 385.


Question: Amanda has $11,631.00. Does she have enough to buy a funnel cake stand and an ice cream truck?

Choices:
- yes
- no

Answer: no

funnel cake stand | $5,293.00
popsicle stand | $7,784.00
hot dog stand | $9,372.00
shaved ice cart | $5,576.00
ice cream truck | $6,382.00

funnel cake stand
popsicle stand
hot dog stand
shaved ice cart
ice cream truck

Solution:
Add the price of a funnel cake stand and the price of an ice cream truck:

$5,293.00 + $6,382.00 = $11,675.00

$11,675.00 is more than $11,631.00. Amanda does not have enough money.


Question: A statistician analyzed the number of runs scored by players last season. How many players scored at least 3 runs last season?

Answer: 12

Runs scored | Frequency
0 | 1
1 | 9
2 | 12
3 | 8
4 | 4

Solution:
Find the rows for 3 and 4 runs last season. Add the frequencies for these rows.

Add:

8 + 4 = 12

12 players scored at least 3 runs last season.


Question: Each office has 5 stools. How many stools are in 5 offices?

Answer: 25

Number of offices | Number of stools
1 | 5
2 | 10
3 | 15
4 | 20
5 | ?

Solution: Count by fives. Use the chart: there are 25 stools in 5 offices.


Question: Paula has $13,967. Does she have enough to buy a pretzel stand and a popsicle stand?

Choices:
- yes
- no

Answer: no

popsicle stand | $5,600
peanut cart | $6,730
shaved ice cart | $7,510
pretzel stand | $8,591
popcorn cart | $8,947

popsicle stand
peanut cart
shaved ice cart
pretzel stand
popcorn cart

Solution:
Add the price of a pretzel stand and the price of a popsicle stand:

$8,591 + $5,600 = $14,191

$14,191 is more than $13,967. Paula does not have enough money.


Question: How much more does a hockey ticket cost than a football ticket?

Answer: 52.64

hockey ticket | $69.12
golf ticket | $68.63
football ticket | $16.48
soccer ticket | $62.14

hockey ticket
golf ticket
football ticket
soccer ticket

Solution:
Subtract the price of a football ticket from the price of a hockey ticket.

$69.12 - $16.48 = $52.64

A hockey ticket costs $52.64 more than a football ticket.


Question: A food manufacturer surveyed consumers about their macaroni and cheese consumption. How many people ate macaroni and cheese more than 1 time?

Answer: 57

Solution:
Find the rows for 2, 3, 4, and 5 times. Add the frequencies for these rows.

Add:

19 + 16 + 12 + 10 = 57

57 people ate macaroni and cheese more than 1 time.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{11 - 2}{18 - 17}
 = \frac{9}{1}
 = 9
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{20 - 11}{19 - 18}
 = \frac{9}{1}
 = 9
The two rates of change are the same.
If you checked the rate of change between rows 1 and 3, you would find that it is also 9.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: Some students compared how many blocks they live from school. What is the mode of the numbers?

Answer: 7

Name | Number of blocks
Rosa | 6
Celine | 5
Naomi | 5
Jake | 7
Hector | 6
Eduardo | 7
Destiny | 7

Rosa Celine Naomi Jake Hector Eduardo Destiny

Solution:
Read the numbers from the table.

6, 5, 5, 7, 6, 7, 7

First, arrange the numbers from least to greatest:

5, 5, 6, 6, 7, 7, 7

Now count how many times each number appears.

5 appears 2 times.
6 appears 2 times.
7 appears 3 times.

The number that appears most often is 7.

The mode is 7.


Question: Shelley has $272.00. Does she have enough to buy a lawn mower and an iron bench?

Choices:
- yes
- no

Answer: no

barbecue grill | $548.00
fountain | $965.00
wooden bench | $291.00
iron bench | $140.00
picnic table | $598.00
lawn mower | $145.00

barbecue grill
fountain
wooden bench
iron bench
picnic table
lawn mower

Solution:
Add the price of a lawn mower and the price of an iron bench:

$145.00 + $140.00 = $285.00

$285.00 is more than $272.00. Shelley does not have enough money.


Question: A food critic counted the number of menu items at each restaurant in town. How many restaurants have exactly 24 menu items?

Answer: 4

Solution:
For the number 24, the stem is 2, and the leaf is 4. Find the row where the stem is 2. In that row, count all the leaves equal to 4.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 restaurants have exactly24 menu items.


Question: Donald went to the store. He bought 1/2 of a kilogram of purple beads. How much did he spend?

Answer: 1

green beads | $3/kilogram
white beads | $2/kilogram
blue beads | $3/kilogram
purple beads | $2/kilogram
orange beads | $2/kilogram
red beads | $2/kilogram
black beads | $3/kilogram

green beads
white beads
blue beads
purple beads
orange beads
red beads
black beads

Solution:
Find the cost of the purple beads. Multiply the price per kilogram by the number of kilograms.
$2 × \frac{1}{2} = $2 × 0.5 = $1
He spent $1.


Question: The county released data about how many schools there are in each town. What is the range of the numbers?

Answer: 6

Town | Number of schools
Chesterton | 10
Ashland | 10
Watertown | 7
Riverside | 4
Mayfield | 6

Chesterton Ashland Watertown Riverside Mayfield

Solution:
Read the numbers from the table.

10, 10, 7, 4, 6

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 4.

Subtract the least number from the greatest number:

10 − 4 = 6

The range is 6.


Question: How much money does Kylie need to buy a ladder and a wrench?

Answer: 47

lawn sprinkler | $13.00
ladder | $36.00
wheelbarrow | $30.00
wrench | $11.00
lawn mower | $96.00
can of paint | $15.00

lawn sprinkler
ladder
wheelbarrow
wrench
lawn mower
can of paint

Solution:
Add the price of a ladder and the price of a wrench:

$36.00 + $11.00 = $47.00

Kylie needs $47.00.


Question: How much money does Levi need to buy a ticket for a Hawaiian cruise and a ticket for a Caribbean cruise?

Answer: 13,111

ticket for a Hawaiian cruise | $7,072.00
ticket for an Australian cruise | $4,739.00
ticket for a South American cruise | $6,857.00
ticket for a Caribbean cruise | $6,039.00

ticket for a Hawaiian cruise
ticket for an Australian cruise
ticket for a South American cruise
ticket for a Caribbean cruise

Solution:
Add the price of a ticket for a Hawaiian cruise and the price of a ticket for a Caribbean cruise:

$7,072.00 + $6,039.00 = $13,111.00

Levi needs $13,111.00.


Question: The advertising agency counted the number of billboards in each city in the state. What is the largest number of billboards?

Answer: 90

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.

Now find the highest leaf in the last row. The highest leaf is 0.

The largest number of billboards has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.

The largest number of billboards is 90 billboards.


Question: Tanner went to the store and bought 5 pounds of cumin and 1 pound of cinnamon. How much did he spend?

Answer: 32.20

cumin | $5.12/lb
cinnamon | $6.60/lb
paprika | $4.76/lb
coriander | $5.39/lb

Solution:
Find the cost of the cumin. Multiply:

$5.12 × 5 = $25.60

Find the cost of the cinnamon. Multiply:

$6.60 × 1 = $6.60

Now find the total cost by adding:

$25.60 + $6.60 = $32.20

He spent $32.20.


Question: A law firm in Princeton kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Gordon? Simplify your answer.

Answer: 61/364

Partner | Hours billed
Rudy | 870
Erica | 790
Lucas | 810
Jill | 560
Gordon | 610

Solution:
Find how many hours were billed by Gordon.

610

Find how many hours were billed in total.

870 + 790 + 810 + 560 + 610 = 3,640

Divide 610 by 3,640.

\frac{610}{3,640}

Reduce the fraction.

\frac{610}{3,640} → \frac{61}{364}

\frac{61}{364} of hours were billed by Gordon.


Question: How much money does Destiny need to buy a math book and a dictionary?

Answer: 35

photo album | $45.00
airplane calendar | $13.00
dictionary | $16.00
map of Africa | $10.00
math book | $19.00

photo album
airplane calendar
dictionary
map of Africa
math book

Solution:
Add the price of a math book and the price of a dictionary:

$19.00 + $16.00 = $35.00

Destiny needs $35.00.


Question: Aiden's class recorded how many cans of food each student collected for their canned food drive. What is the median of the numbers?

Answer: 9

Name | Number of cans of food
Aiden | 6
Haley | 10
Chandler | 9
Troy | 9
Jared | 10

Solution:
Read the numbers from the table.

6, 10, 9, 9, 10

First, arrange the numbers from least to greatest:

6, 9, 9, 10, 10

Now find the number in the middle.

6, 9, 9, 10, 10

The number in the middle is 9.

The median is 9.


Question: Martin tracked the attendance at the school play. On which day did the fewest people attend the play?

Choices:
- Tuesday
- Wednesday
- Thursday
- Friday

Answer: Thursday

Day | Number of tickets
Tuesday | 317
Wednesday | 371
Thursday | 313
Friday | 337

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 313.

Now find the corresponding day. Thursday corresponds to 313.


Question: Edwin counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have exactly 66 pairs of shoes?

Answer: 3

Solution:
For the number 66, the stem is 6, and the leaf is 6. Find the row where the stem is 6. In that row, count all the leaves equal to 6.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 stores have exactly 66 pairs of shoes.


Question: Logan surveyed people at the amusement park where he works and asked them how many times they visited last year. How many people went to an amusement park more than 2 times?

Answer: 22

Number of trips | Frequency
1 | 13
2 | 10
3 | 1
4 | 16
5 | 5

Solution:
Find the rows for 3, 4, and 5 times. Add the frequencies for these rows.

Add:

1 + 16 + 5 = 22

22 people went to an amusement park more than 2 times.


Question: Some friends compared the sizes of their stuffed animal collections. Who has the fewest stuffed animals?

Choices:
- Isaac
- Edgar
- Justin
- Katie

Answer: Katie

Name | Number of stuffed animals
Isaac | 281
Edgar | 221
Justin | 282
Katie | 218

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 218.

Now find the corresponding name. Katie corresponds to 218.


Question: Pedro has $82. Does he have enough to buy a ballet ticket and an opera ticket?

Choices:
- yes
- no

Answer: yes

ballet ticket | $15
car show ticket | $21
orchestra ticket | $38
opera ticket | $65

ballet ticket
car show ticket
orchestra ticket
opera ticket

Solution:
Add the price of a ballet ticket and the price of an opera ticket:

$15 + $65 = $80

$80 is less than $82. Pedro does have enough money.


Question: Look at the following schedule. Which class ends at 3.30 P.M.?

Choices:
- salsa dance class
- hip hop dance class
- tap dance class
- ballroom dance class

Answer: tap dance class

Class | Begin | End
hip hop dance | 8:45 A.M. | 9:15 A.M.
swing dance | 9:25 A.M. | 10:35 A.M.
modern dance | 10:40 A.M. | 11:50 A.M.
ballroom dance | 12:05 P.M. | 1:00 P.M.
advanced ballet | 1:05 P.M. | 2:15 P.M.
tap dance | 2:25 P.M. | 3:30 P.M.
salsa dance | 3:40 P.M. | 5:15 P.M.
western dance | 5:20 P.M. | 6:55 P.M.

hip hop dance
swing dance
modern dance
ballroom dance
advanced ballet
tap dance
salsa dance
western dance

Solution: Find 3:30 P. M. on the schedule. The tap dance class ends at 3:30 P. M.


Question: The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had exactly 23 birds?

Answer: 2

Solution:
For the number 23, the stem is 2, and the leaf is 3. Find the row where the stem is 2. In that row, count all the leaves equal to 3.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 flocks had exactly23 birds.


Question: A business magazine surveyed its readers about their commute times. What is the longest commute time?

Answer: 90

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.

Now find the highest leaf in the last row. The highest leaf is 0.

The longest commute time has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.

The longest commute time is 90 minutes.


Question: Look at the following schedule. How long does it take to get from the doctor's office to the playground?

Choices:
- 15 minutes
- 2 hours and 30 minutes
- 1 hour and 45 minutes
- 2 hours and 45 minutes

Answer: 2 hours and 45 minutes

the grocery store
the library
the doctor's office
the zoo
the movie theater
the science museum
the playground

Solution:
Read the times in the first column for the doctor's office and the playground.

Find the elapsed time between 10:15 A. M. and 1:00 P. M. The elapsed time is 2 hours and 45 minutes.

No matter which column of times you look at, the elapsed time is always 2 hours and 45 minutes.


Question: The Lancaster Chamber of Commerce researched the number of employees working at local companies. How many companies have exactly 5 employees?

Answer: 2

Solution:
For the number 5, the stem is 0, and the leaf is 5. Find the row where the stem is 0. In that row, count all the leaves equal to 5.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 companies have exactly 5 employees.


Question: A pet store owner had his staff count the number of fish in each tank. How many tanks have exactly 43 fish?

Answer: 4

Solution:
For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 tanks have exactly 43 fish.


Question: The board of commerce recorded how many employees work at each company. Which company has the fewest employees?

Choices:
- Davidson Insurance
- Madison Corporation
- ABC Electronics
- Benson and Blakely

Answer: Madison Corporation

Company | Number of employees
Davidson Insurance | 668
Madison Corporation | 646
ABC Electronics | 648
Benson and Blakely | 684

Davidson Insurance
Madison Corporation
ABC Electronics
Benson and Blakely

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 646.

Now find the corresponding company. Madison Corporation corresponds to 646.


Question: After a spelling bee, some students compared how many words they spelled correctly. What is the mode of the numbers?

Answer: 45

Name | Number of words spelled correctly
Ernest | 45
Cooper | 45
Nora | 47
Kylie | 44
Alexa | 48
Frank | 47
Brendan | 44
Laura | 45

Ernest Cooper Nora Kylie Alexa Frank Brendan Laura

Solution:
Read the numbers from the table.

45, 45, 47, 44, 48, 47, 44, 45

First, arrange the numbers from least to greatest:

44, 44, 45, 45, 45, 47, 47, 48

Now count how many times each number appears.

44 appears 2 times.
45 appears 3 times.
47 appears 2 times.
48 appears 1 time.

The number that appears most often is 45.

The mode is 45.


Question: Mike has $0.04. Does he have enough to buy a piece of floral stationery and a white note card?

Choices:
- yes
- no

Answer: no

orange envelope | $0.03
piece of pink paper | $0.08
piece of elegant stationery | $0.05
white note card | $0.04
piece of floral stationery | $0.02

orange envelope
piece of pink paper
piece of elegant stationery
white note card
piece of floral stationery

Solution:
Add the price of a piece of floral stationery and the price of a white note card:

$0.02 + $0.04 = $0.06

$0.06 is more than $0.04. Mike does not have enough money.


Question: Use the data to answer the question below. Is the following statement about our solar system true or false? Three-quarters of the planets are larger than Earth.

Choices:
- true
- false

Answer: false

Mercury | 6.08 x | 1010 rock
Venus | 9.28 x | 1011 rock
Earth | 1.08 x | 1012 rock
Mars | 1.63 x | 1011 rock
Jupiter | 1.43 x | 1015 gas
Saturn | 8.27 x | 1014 gas
Uranus | 6.83 x | 1013 ice
Neptune | 6.25 x | 1013 ice

Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune

Solution:
To decide which planets are larger than Earth, look at the volumes of the other planets and compare the exponents to the exponent of Earth's volume. Earth's volume is 1.08 x10^12 km^3. Earth's volume is the only volume with an exponent of 12.

The volumes of Jupiter, Saturn, Uranus, and Neptune have exponents greater than 12, so these four planets are larger than Earth. There are eight planets total. So, one-half of the planets are larger than Earth.


Question: A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 60 broken crayons?

Answer: 7

Solution:
Count all the leaves in the rows with stems 6, 7, 8, and 9.

You counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 boxes had at least 60 broken crayons.


Question: While hanging Christmas lights for neighbors, Zach counted the number of broken lights on each string. What is the largest number of broken lights?

Answer: 75

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.

Now find the highest leaf in the last row. The highest leaf is 5.

The largest number of broken lights has a stem of 7 and a leaf of 5. Write the stem first, then the leaf: 75.

The largest number of broken lights is 75 broken lights.


Question: How much money does Ben need to buy a golf ball, a bicycle helmet, and a swimsuit?

Answer: 19.27

softball glove | $9.69
bicycle helmet | $8.14
baseball | $2.18
golf ball | $2.33
swimsuit | $8.80
bike horn | $5.86

softball glove
bicycle helmet
baseball
golf ball
swimsuit
bike horn

Solution:
Find the total cost of a golf ball, a bicycle helmet, and a swimsuit.

$2.33 + $8.14 + $8.80 = $19.27

Ben needs $19.27.


Question: Colette's class recorded how many states each student has visited. What is the mode of the numbers?

Answer: 8

Name | Number of states
Colette | 2
Kayla | 8
Lester | 3
Brandon | 8
Edmond | 8
Tammy | 3
Maddie | 2

Colette Kayla Lester Brandon Edmond Tammy Maddie

Solution:
Read the numbers from the table.

2, 8, 3, 8, 8, 3, 2

First, arrange the numbers from least to greatest:

2, 2, 3, 3, 8, 8, 8

Now count how many times each number appears.

2 appears 2 times.
3 appears 2 times.
8 appears 3 times.

The number that appears most often is 8.

The mode is 8.


Question: A technical support line tracked how many calls it received each day. How many more calls did the support line receive on Thursday than on Friday?

Answer: 318

Day | Number of calls
Monday | 632
Tuesday | 222
Wednesday | 374
Thursday | 825
Friday | 507

Monday Tuesday Wednesday Thursday Friday

Solution:
Find the numbers in the table.

Thursday: 825
Friday: 507

Now subtract: 825 - 507 = 318.

The support line received 318 more calls on Thursday.


Question: A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. Which country won fewer medals in 2004, Brazil or Finland?

Choices:
- Finland
- Brazil

Answer: Finland

Country | 2000 | 2004
Brazil | 12 | 10
Sweden | 12 | 7
Finland | 4 | 2

Solution:
Find the 2004 column. Compare the numbers in this column for Brazil and Finland.

2 is less than 10. Finland won fewer medals in 2004.


Question: An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much cheese was consumed per capita in Austria in 2006?

Answer: 17

Country | 1996 | 2006
Argentina | 11 | 11
Great Britain | 9 | 10
Austria | 10 | 17

Solution:
First, find the row for Austria. Then find the number in the 2006 column.

This number is 17. In 2006, people in Austria consumed 17 kilograms of cheese per capita.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{12 - 20}{18 - 17}
 = \frac{-8}{1}
 = -8
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{4 - 12}{19 - 18}
 = \frac{-8}{1}
 = -8
The two rates of change are the same.
8.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: The members of the cycling club compared how many miles they biked last week. What is the median of the numbers?

Answer: 53

Name | Miles
Clayton | 58
Lauren | 47
Roger | 53
Kyle | 46
Brianna | 57
Miles | 59
Harold | 50

Clayton Lauren Roger Kyle Brianna Miles Harold

Solution:
Read the numbers from the table.

58, 47, 53, 46, 57, 59, 50

First, arrange the numbers from least to greatest:

46, 47, 50, 53, 57, 58, 59

Now find the number in the middle.

46, 47, 50, 53, 57, 58, 59

The number in the middle is 53.

The median is 53.


Question: A farm equipment company kept a record of the number of tractors made each month. In which month did the company make the most tractors?

Choices:
- October
- November
- December
- January

Answer: October

Month | Number of tractors
October | 887
November | 848
December | 847
January | 878

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 887.

Now find the corresponding month. October corresponds to 887.


Question: Cedarburg will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people went swimming exactly twice last month?

Answer: 2

Number of times | Frequency
1 | 15
2 | 2
3 | 4
4 | 5

Solution:
Find the row for 2 times and read the frequency. The frequency is 2.

2 people went swimming exactly twice last month.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{12 - 8}{4 - 3}
 = \frac{4}{1}
 = 4
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{16 - 8}{5 - 3}
 = \frac{8}{2}
 = 4
The two rates of change are the same.
If you checked the rate of change between rows 2 and 3, you would find that it is also 4.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: Each year, the campers at Keith's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2010 and 2011?

Answer: 1

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{30 minutes - 29 minutes}{2011 - 2010}
 = \frac{30 minutes - 29 minutes}{1 year}
 = \frac{1 minute}{1 year}
 = 1 minute per year
The rate of change between 2010 and 2011 was 1 minute per year.


Question: Look at this table. Is this relation a function?

Choices:
- yes
- no

Answer: no

Solution:
Look at the x-values in the table.

The x-value 0 is paired with multiple y-values, so the relation is not a function.


Question: Sadie went on a camping trip and logged the number of miles she hiked each day. What is the range of the numbers?

Answer: 11

Day | Number of miles
Friday | 9
Saturday | 14
Sunday | 20
Monday | 17
Tuesday | 16
Wednesday | 10

Friday Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

9, 14, 20, 17, 16, 10

First, find the greatest number. The greatest number is 20.

Next, find the least number. The least number is 9.

Subtract the least number from the greatest number:

20 − 9 = 11

The range is 11.


Question: The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have exactly 90 bricks?

Answer: 3

Solution:
For the number 90, the stem is 9, and the leaf is 0. Find the row where the stem is 9. In that row, count all the leaves equal to 0.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 buildings have exactly 90 bricks.


Question: A furniture store kept a record of how many couches it sold each day. What is the median of the numbers?

Answer: 7

Day | Number of couches
Friday | 5
Saturday | 4
Sunday | 10
Monday | 9
Tuesday | 7

Solution:
Read the numbers from the table.

5, 4, 10, 9, 7

First, arrange the numbers from least to greatest:

4, 5, 7, 9, 10

Now find the number in the middle.

4, 5, 7, 9, 10

The number in the middle is 7.

The median is 7.


Question: How much money does Gordon need to buy a deer postcard and a roll of packaging tape?

Answer: 0.90

long white envelope | $0.38
lighthouse postcard | $0.42
tulip stamp | $0.14
robot stamp | $0.42
deer postcard | $0.61
roll of packaging tape | $0.29

long white envelope
lighthouse postcard
tulip stamp
robot stamp
deer postcard
roll of packaging tape

Solution:
Add the price of a deer postcard and the price of a roll of packaging tape:

$0.61 + $0.29 = $0.90

Gordon needs $0.90.


Question: A gymnast jotted down the number of cartwheels she did each day. What is the mode of the numbers?

Answer: 11

Day | Number of cartwheels
Sunday | 11
Monday | 14
Tuesday | 10
Wednesday | 14
Thursday | 11
Friday | 11
Saturday | 10

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

Solution:
Read the numbers from the table.

11, 14, 10, 14, 11, 11, 10

First, arrange the numbers from least to greatest:

10, 10, 11, 11, 11, 14, 14

Now count how many times each number appears.

10 appears 2 times.
11 appears 3 times.
14 appears 2 times.

The number that appears most often is 11.

The mode is 11.


Question: Spencer's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Austria in 2005?

Answer: 9

Country | 2002 | 2005
Poland | 3 | 4
Australia | 4 | 5
Austria | 8 | 9
Switzerland | 11 | 10

Country Poland Australia Austria Switzerland

Solution:
First, find the row for Austria. Then find the number in the 2005 column.

This number is 9. In 2005, people in Austria consumed 9 kilograms of chocolate per capita.


Question: How much more does an ice cream truck cost than a funnel cake stand?

Answer: 154

ice cream truck | $7,785
shaved ice cart | $7,131
hot dog stand | $6,141
funnel cake stand | $7,631

ice cream truck
shaved ice cart
hot dog stand
funnel cake stand

Solution:
Subtract the price of a funnel cake stand from the price of an ice cream truck.

$7,785 - $7,631 = $154

An ice cream truck costs $154 more than a funnel cake stand.


Question: The manager of Nonno's Pizza asked 40 customers if they prefer to have vegetables or no vegetables on their pizzas. This table shows the relative frequencies from the survey. How many more women than men prefer vegetables on their pizza?

Answer: 10

Solution:
Find the number of women who prefer vegetables on their pizza and the number of men who prefer vegetables on their pizza. Then, subtract to find the difference.
To start, find the relative frequency of women who prefer vegetables on their pizza.
The relative frequency is 0.40. To find the number of women who prefer vegetables on their pizza, multiply by 40, the total number of customers the manager surveyed.
0.40 · 40 = 16
So, 16 women prefer vegetables on their pizza.
Next, find the relative frequency of men who prefer vegetables on their pizza.
The relative frequency is 0.15. To find the number of men who prefer vegetables on their pizza, multiply by 40, the total number of customers the manager surveyed.
0.15 · 40 = 6
So, 6 men prefer vegetables on their pizza.
Last, find how many more women than men prefer vegetables on their pizza. Subtract.
16 - 6 = 10
So, 10 more women than men prefer vegetables on their pizza.


Question: Kim Furniture Exports is shipping pieces of furniture made out of different types of wood. Of which type of wood are the fewest bookcases made?

Choices:
- maple
- mahogany
- pine
- oak

Answer: maple

Type of Wood | Beds | Bookcases
Maple | 6 | 7
Oak | 10 | 20
Pine | 2 | 18
Mahogany | 19 | 9

Solution:
Look at the numbers in the Bookcases column. Find the least number in this column.

The least number is 7, which is in the Maple row. The fewest bookcases are made of maple.


Question: Look at the table. Then answer the question. At a price of $815, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $815, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.


Question: Each field has 10 goats. How many goats are in 3 fields?

Answer: 30

Number of fields | Number of goats
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 goats in 3 fields.


Question: A video store clerk looked up the number of movies checked out each day. What is the mode of the numbers?

Answer: 60

Day | Number of movies
Sunday | 56
Monday | 58
Tuesday | 58
Wednesday | 60
Thursday | 60
Friday | 56
Saturday | 60

Solution:
Read the numbers from the table.

56, 58, 58, 60, 60, 56, 60

First, arrange the numbers from least to greatest:

56, 56, 58, 58, 60, 60, 60

Now count how many times each number appears.

56 appears 2 times.
58 appears 2 times.
60 appears 3 times.

The number that appears most often is 60.

The mode is 60.


Question: Devin wrote down how many cups of lemonade he sold in the past 7 days. What is the median of the numbers?

Answer: 8

Day | Number of cups
Friday | 10
Saturday | 6
Sunday | 8
Monday | 8
Tuesday | 8
Wednesday | 9
Thursday | 8

Friday Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

10, 6, 8, 8, 8, 9, 8

First, arrange the numbers from least to greatest:

6, 8, 8, 8, 8, 9, 10

Now find the number in the middle.

6, 8, 8, 8, 8, 9, 10

The number in the middle is 8.

The median is 8.


Question: Some teachers compared how many years they have been teaching. What is the mode of the numbers?

Answer: 1

Teacher | Number of years
Miss Lim | 9
Mr. Perez | 1
Ms. Chan | 1
Miss Watson | 9
Mr. Park | 1

Miss Lim
Mr. Perez
Ms. Chan
Miss Watson
Mr. Park

Solution:
Read the numbers from the table.

9, 1, 1, 9, 1

First, arrange the numbers from least to greatest:

1, 1, 1, 9, 9

Now count how many times each number appears.

1 appears 3 times.
9 appears 2 times.

The number that appears most often is 1.

The mode is 1.


Question: Use the data to answer the question below. Is the following statement about our solar system true or false? 50% of the planets are made mainly of gas.

Choices:
- true
- false

Answer: false

Planet Volume (billions of km3) Primary composition

Mercury | 60 rock
Venus | 930 rock
Earth | 1,090 rock
Mars | 160 rock
Jupiter | 1,431,280 gas
Saturn | 827,130 gas
Uranus | 68,330 ice
Neptune | 62,530 ice

Solution: The table tells you that two out of the eight planets are made mainly of gas. So, one-fourth, or 25%, of the planets are made mainly of gas.


Question: How much money does Aaron need to buy 8 yellow bath towels and 3 beach blankets?

Answer: 183

yellow bath towel | $18
navy blue bath mat | $11
fleece blanket | $10
beach blanket | $13

yellow bath towel
navy blue bath mat
fleece blanket
beach blanket

Solution:
Find the cost of 8 yellow bath towels.

$18 × 8 = $144

Find the cost of 3 beach blankets.

$13 × 3 = $39

Now find the total cost.

$144 + $39 = $183

Aaron needs $183.


Question: Mr. Khan, the band director, counted the number of instruments played by each member of the band. Which instrument do the fewest boys play?

Choices:
- trumpet
- flute
- clarinet
- saxophone

Answer: clarinet

Instrument | Girls | Boys
Saxophone | 18 | 17
Clarinet | 15 | 6
Drums | 6 | 20
Flute | 19 | 18
Trumpet | 19 | 9

Solution:
Look at the numbers in the Boys column. Find the least number in this column.

The least number is 6, which is in the Clarinet row. The fewest boys play the clarinet.


Question: A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?

Answer: 4

Day | Number of baseballs
Tuesday | 5
Wednesday | 3
Thursday | 5
Friday | 4
Saturday | 4

Tuesday Wednesday Thursday Friday Saturday

Solution:
Read the numbers from the table.

5, 3, 5, 4, 4

First, arrange the numbers from least to greatest:

3, 4, 4, 5, 5

Now find the number in the middle.

3, 4, 4, 5, 5

The number in the middle is 4.

The median is 4.


Question: A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?

Answer: 7

Day | Number of baseballs
Tuesday | 4
Wednesday | 7
Thursday | 9
Friday | 8
Saturday | 5
Sunday | 8
Monday | 4

Tuesday Wednesday Thursday Friday Saturday Sunday Monday

Solution:
Read the numbers from the table.

4, 7, 9, 8, 5, 8, 4

First, arrange the numbers from least to greatest:

4, 4, 5, 7, 8, 8, 9

Now find the number in the middle.

4, 4, 5, 7, 8, 8, 9

The number in the middle is 7.

The median is 7.


Question: How much money does Sally need to buy a book about soccer and a book about South America?

Answer: 14

book about art | $4.00
book about snakes | $7.00
book about soccer | $9.00
book about cars | $1.00
book about South America | $5.00

book about art
book about snakes
book about soccer
book about cars
book about South America

Solution:
Add the price of a book about soccer and the price of a book about South America:

$9.00 + $5.00 = $14.00

Sally needs $14.00.


Question: How much money does Kelly need to buy 5 chandeliers and 3 oil paintings?

Answer: 2,758

rug | $276
chandelier | $143
silver coat rack | $791
oil painting | $681

rug
chandelier
silver coat rack
oil painting

Solution:
Find the cost of 5 chandeliers.

$143 × 5 = $715

Find the cost of 3 oil paintings.

$681 × 3 = $2,043

Now find the total cost.

$715 + $2,043 = $2,758

Kelly needs $2,758.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: nonlinear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{7 - 8}{8 - 7}
 = \frac{-1}{1}
 = -1
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{3 - 8}{9 - 7}
 = \frac{-5}{2}
 = -2\frac{1}{2}
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.


Question: Each tool box has 10 nails. How many nails are in 3 tool boxes?

Answer: 30

Number of tool boxes | Number of nails
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 nails in 3 tool boxes.


Question: Brenda went to the store and bought 1 pound of Spanish olives. How much did she spend?

Answer: 4

Kalamata olives | $7/pound
Spanish olives | $4/pound
Greek olives | $3/pound
pimento olives | $6/pound
green olives | $5/pound

Kalamata olives
Spanish olives
Greek olives
pimento olives
green olives

Solution:
Find the cost of the Spanish olives. Multiply the price per pound by the number of pounds.

$4 × 1 = $4

She spent $4.


Question: A stock broker followed the stock prices of a certain set of companies. On Thursday, how much more did Computer Data Company's stock cost than Watson and Partners's stock?

Answer: 3

Company | Wednesday | Thursday
Watson and Partners | $14 | $8
Computer Data Company | $14 | $11
White and Company | $13 | $15

Watson and Partners
Computer Data Company
White and Company

Solution:
Find the Thursday column. Find the numbers in this column for Computer Data Company and Watson and Partners.

Computer Data Company: $11.00
Watson and Partners: $8.00

Now subtract:

$11.00 − $8.00 = $3.00

On Thursday Computer Data Company's stock cost $3 more than Watson and Partners's stock.


Question: Leroy kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Thursday and Friday?

Answer: -2

Day | Minutes
Tuesday | 45
Wednesday | 43
Thursday | 47
Friday | 45
Saturday | 38

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{45 minutes - 47 minutes}{1 day}
 = \frac{-2 minutes}{1 day}
 = -2 minutes per day
The rate of change between Thursday and Friday was - 2 minutes per day.


Question: In order to complete their model of a futuristic highway, students in Ms. Laura's design class find out how many toy cars each student can bring to class. How many students in the class have exactly 2 toy cars?

Answer: 9

Number of toy cars | Frequency
0 | 0
1 | 7
2 | 9
3 | 16
4 | 2

Solution:
Find the row for 2 toy cars and read the frequency. The frequency is 9.

9 students have exactly2 toy cars.


Question: Look at the following schedule. Which activity ends at 3.50 P.M.?

Choices:
- water polo practice
- water aerobics
- lap swim
- diving club practice

Answer: lap swim

Activity | Begin | End
diving club practice | 8:50 A.M. | 9:20 A.M.
water polo practice | 9:30 A.M. | 11:05 A.M.
water aerobics | 11:20 A.M. | 12:50 P.M.
intermediate swimming class | 1:00 P.M. | 2:20 P.M.
lap swim | 2:25 P.M. | 3:50 P.M.

diving club practice
water polo practice
water aerobics
intermediate swimming class
lap swim

Solution: Find 3:50 P. M. on the schedule. Lap swim ends at 3:50 P. M.


Question: Tessa went to the store and bought 4+3/4 kilograms of square washers. How much did she spend?

Answer: 14.25

square washers | $3 per kg
dock washers | $3 per kg
lock washers | $3 per kg
flat washers | $3 per kg

square washers
dock washers
lock washers
flat washers

Solution:
Find the cost of the square washers. Multiply the price per kilogram by the number of kilograms.
$3 × 4\frac{3}{4} = $3 × 4.75 = $14.25
She spent $14.25.


Question: How much money does Elizabeth need to buy a miniature padlock and a piece of plastic pipe?

Answer: 0.97

short steel screw | $0.16
small paintbrush | $0.53
piece of plastic pipe | $0.80
miniature padlock | $0.17

short steel screw
small paintbrush
piece of plastic pipe
miniature padlock

Solution:
Add the price of a miniature padlock and the price of a piece of plastic pipe:

$0.17 + $0.80 = $0.97

Elizabeth needs $0.97.


Question: How much more does an oyster shell cost than a scallop shell?

Answer: 0.03

spiral snail shell | $0.01
scallop shell | $0.03
polished silver top shell | $0.02
oyster shell | $0.06
pink and white striped shell | $0.04

spiral snail shell
scallop shell
polished silver top shell
oyster shell
pink and white striped shell

Solution:
Subtract the price of a scallop shell from the price of an oyster shell.

$0.06 - $0.03 = $0.03

An oyster shell costs $0.03 more than a scallop shell.


Question: Each basket has 10 flowers. How many flowers are in 4 baskets?

Answer: 40

Number of baskets | Number of flowers
1 | 10
2 | 20
3 | 30
4 | ?

Solution: Count by tens. Use the chart: there are 40 flowers in 4 baskets.


Question: A reporter looked through his notebook to remember how many people he had interviewed in the past 5 days. What is the range of the numbers?

Answer: 2

Day | Number of people
Saturday | 13
Sunday | 13
Monday | 14
Tuesday | 13
Wednesday | 15

Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

13, 13, 14, 13, 15

First, find the greatest number. The greatest number is 15.

Next, find the least number. The least number is 13.

Subtract the least number from the greatest number:

15 − 13 = 2

The range is 2.


Question: To figure out how many vacation days she had left to use, Katy looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2017 and 2018?

Answer: -9

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{16 vacation days - 25 vacation days}{2018 - 2017}
 = \frac{16 vacation days - 25 vacation days}{1 year}
 = \frac{-9 vacation days}{1 year}
 = -9 vacation days per year
The rate of change between 2017 and 2018 was - 9 vacation days per year.


Question: An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much cheese was consumed per capita in Argentina in 2006?

Answer: 11

Country | 1996 | 2006
Germany | 12 | 20
Australia | 10 | 10
Canada | 10 | 11
Great Britain | 9 | 10
Argentina | 11 | 11

Country
Germany
Australia
Canada
Great Britain
Argentina

Solution:
First, find the row for Argentina. Then find the number in the 2006 column.

This number is 11. In 2006, people in Argentina consumed 11 kilograms of cheese per capita.


Question: Each tool box has 10 hammers. How many hammers are in 5 tool boxes?

Answer: 50

Number of tool boxes | Number of hammers
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 hammers in 5 tool boxes.


Question: Each shelf has 5 turtleneck sweaters. How many turtleneck sweaters are on 4 shelves?

Answer: 20

Number of shelves | Number of turtleneck sweaters
1 | 5
2 | 10
3 | 15
4 | ?

Solution: Count by fives. Use the chart: there are 20 turtleneck sweaters on 4 shelves.


Question: What is the total cost for 9/10 of a kilogram of hamburger buns?

Answer: 3.60

tortillas | $9/kilogram
rye rolls | $8/kilogram
French rolls | $9/kilogram
spelt rolls | $5/kilogram
hamburger buns | $4/kilogram
hot dog buns | $6/kilogram

tortillas
rye rolls
French rolls
spelt rolls
hamburger buns
hot dog buns

Solution:
Find the cost of the hamburger buns. Multiply the price per kilogram by the number of kilograms.
$4 × \frac{9}{10} = $4 × 0.9 = $3.60
The total cost is $3.60.


Question: Each laundry hamper has 5 blouses. How many blouses are in 4 laundry hampers?

Answer: 20

Number of laundry hampers | Number of blouses
1 | 5
2 | 10
3 | 15
4 | ?

Solution: Count by fives. Use the chart: there are 20 blouses in 4 laundry hampers.


Question: Doug's class tracked how many newspapers each student collected for their recycling project. What is the mode of the numbers?

Answer: 86

Name | Number of newspapers
Doug | 85
Xavier | 86
Carly | 87
Valentina | 86
Eric | 85
Ben | 85
Sam | 86
Mason | 86

Doug Xavier Carly Valentina Eric Ben Sam Mason

Solution:
Read the numbers from the table.

85, 86, 87, 86, 85, 85, 86, 86

First, arrange the numbers from least to greatest:

85, 85, 85, 86, 86, 86, 86, 87

Now count how many times each number appears.

85 appears 3 times.
86 appears 4 times.
87 appears 1 time.

The number that appears most often is 86.

The mode is 86.


Question: Several people compared how many Web pages they had visited. What is the median of the numbers?

Answer: 9

Person | Number of Web pages
Alexis | 7
Wanda | 7
Roy | 9
Charlie | 9
Betty | 10

Solution:
Read the numbers from the table.

7, 7, 9, 9, 10

First, arrange the numbers from least to greatest:

7, 7, 9, 9, 10

Now find the number in the middle.

7, 7, 9, 9, 10

The number in the middle is 9.

The median is 9.


Question: Look at the following schedule. Which event ends at 12.15 P.M.?

Choices:
- relay race
- jump rope race
- parachute ball toss
- egg relay

Answer: parachute ball toss

Event | Begin | End
parachute ball toss | 11:45 A.M. | 12:15 P.M.
potato sack race | 12:30 P.M. | 12:55 P.M.
three-legged race | 1:00 P.M. | 2:00 P.M.
obstacle course | 2:15 P.M. | 2:35 P.M.
hurdles | 2:45 P.M. | 3:10 P.M.
jump rope race | 3:15 P.M. | 3:30 P.M.
relay race | 3:45 P.M. | 4:00 P.M.
egg relay | 4:05 P.M. | 4:35 P.M.

parachute ball toss
potato sack race
three-legged race
obstacle course
hurdles
jump rope race
relay race
egg relay

Solution: Find 12:15 P. M. on the schedule. The parachute ball toss ends at 12:15 P. M.


Question: A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. How many more medals did Brazil win in 2008 than in 2004?

Answer: 5

Country | 2004 | 2008
Finland | 2 | 4
Brazil | 10 | 15
Sweden | 7 | 5

Solution:
Find the Brazil row. Find the numbers in this row for 2008 and 2004.

2008: 15
2004: 10

Now subtract:

15 − 10 = 5

Brazil won 5 more medals in 2008 than in 2004.


Question: The principal of Stafford Elementary School released statistics about how many boys and girls were in each fourth grade class at her school. How many more boys are in Mr. Lopez's class than Miss Smith's class?

Answer: 9

Teacher | Boys | Girls
Miss Smith | 10 | 17
Mr. Lopez | 19 | 17
Miss Fisher | 15 | 11
Mrs. Carpenter | 16 | 18

Miss Smith
Mr. Lopez
Miss Fisher
Mrs. Carpenter

Solution:
Find the Boys column. Find the numbers in this column for Mr. Lopez and Miss Smith.

Mr. Lopez: 19
Miss Smith: 10

Now subtract:

19 − 10 = 9

9 more boys are in Mr. Lopez's class than Miss Smith's class.


Question: A furniture store kept a record of how many couches it sold each day. What is the range of the numbers?

Answer: 5

Day | Number of couches
Tuesday | 7
Wednesday | 2
Thursday | 2
Friday | 3
Saturday | 3
Sunday | 7

Tuesday Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

7, 2, 2, 3, 3, 7

First, find the greatest number. The greatest number is 7.

Next, find the least number. The least number is 2.

Subtract the least number from the greatest number:

7 − 2 = 5

The range is 5.


Question: How much money does Naomi need to buy a hair tie, a box of breath mints, and a comb?

Answer: 2.47

hair tie | $0.57
box of breath mints | $0.94
tube of toothpaste | $0.97
comb | $0.96

hair tie
box of breath mints
tube of toothpaste
comb

Solution:
Find the total cost of a hair tie, a box of breath mints, and a comb.

$0.57 + $0.94 + $0.96 = $2.47

Naomi needs $2.47.


Question: How much money does Brennan need to buy a shapes stencil and a green bouncy ball?

Answer: 0.06

wooden block | $0.08
shapes stencil | $0.02
red kazoo | $0.06
green bouncy ball | $0.04
green marble | $0.04
blue plastic block | $0.09

wooden block
shapes stencil
red kazoo
green bouncy ball
green marble
blue plastic block

Solution:
Add the price of a shapes stencil and the price of a green bouncy ball:

$0.02 + $0.04 = $0.06

Brennan needs $0.06.


Question: A technical support line tracked how many calls it received each day. How many calls total did the support line receive on Friday and Saturday?

Answer: 9,504

Day | Number of calls
Wednesday | 8,383
Thursday | 2,270
Friday | 1,356
Saturday | 8,148

Solution:
Find the numbers in the table.

Friday: 1,356
Saturday: 8,148

Now add: 1,356 + 8,148 = 9,504.

The support line received 9,504 calls on Friday and Saturday.


Question: Reagan wrote down how many glasses of water she drank during the past 7 days. What is the range of the numbers?

Answer: 5

Day | Number of glasses
Thursday | 5
Friday | 5
Saturday | 5
Sunday | 10
Monday | 7
Tuesday | 9
Wednesday | 8

Thursday Friday Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

5, 5, 5, 10, 7, 9, 8

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 5.

Subtract the least number from the greatest number:

10 − 5 = 5

The range is 5.


Question: Marcy's Candies has been studying how much chocolate people have been eating in different countries. In 2005, how much more chocolate did Germany consume per capita than Poland?

Answer: 7

Country | 2002 | 2005
Germany | 10 | 11
Poland | 3 | 4
Australia | 4 | 5

Solution:
Find the 2005 column. Find the numbers in this column for Germany and Poland.

Germany: 11
Poland: 4

Now subtract:

11 − 4 = 7

In 2005, Germany consumed 7 kilograms more chocolate per capita than Poland.


Question: The gym teacher wrote down how many tennis balls his students hit in half an hour. What is the range of the numbers?

Answer: 19

Name | Number of tennis balls
Fred | 76
Roger | 65
Adele | 67
Miranda | 62
Joy | 63
Tom | 57

Solution:
Read the numbers from the table.

76, 65, 67, 62, 63, 57

First, find the greatest number. The greatest number is 76.

Next, find the least number. The least number is 57.

Subtract the least number from the greatest number:

76 − 57 = 19

The range is 19.


Question: A machine dispensed red gumdrops into bags of various sizes. How many bags had at least 53 red gumdrops but less than 74 red gumdrops?

Answer: 6

Solution:
Find the row with stem 5. Count all the leaves greater than or equal to 3.

Count all the leaves in the row with stem 6.

In the row with stem 7, count all the leaves less than 4.

You counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 bags had at least 53 red gumdrops but less than 74 red gumdrops.


Question: The financial aid office at Jordan University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2012 and 2013?

Answer: -3

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{25 students - 28 students}{2013 - 2012}
 = \frac{25 students - 28 students}{1 year}
 = \frac{-3 students}{1 year}
 = -3 students per year
The rate of change between 2012 and 2013 was - 3 students per year.


Question: Sue's family went on a road trip and counted the number of cars they saw each day. On which day did they see the fewest cars?

Choices:
- Thursday
- Friday
- Saturday
- Sunday

Answer: Friday

Day | Number of cars
Thursday | 324
Friday | 323
Saturday | 342
Sunday | 334

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 323.

Now find the corresponding day. Friday corresponds to 323.


Question: A magazine editor looked at her sales figures for the past 3 months. How many more copies were sold in May than in April?

Answer: 1,836

Month | Number of magazines
March | 6,337
April | 3,287
May | 5,123

Solution:
Find the numbers in the table.

May: 5,123
April: 3,287

Now subtract: 5,123 - 3,287 = 1,836.

1,836 more copies were sold in May.


Question: Look at Raphael's pay stub. Raphael lives in a state that has state income tax. How much did Raphael make after taxes?

Answer: 1,807.80

Employee | Pay period |
Raphael Cruz | November |
Total earnings | | $2,400.00
Federal income tax | $266.60 |
State income tax | $142.00 |
Other taxes | $183.60 |
Total taxes | | ?
Pay after taxes | | ?

Raphael Cruz
Total earnings
Federal income tax
State income tax
Other taxes
Total taxes
Pay after taxes

Solution:
Find how much Raphael made after taxes. Find the total payroll tax, then subtract it from the total earnings.
To find the total payroll tax, add the federal income tax, state income tax, and other taxes.
The total earnings are $2,400.00. The total payroll tax is $592.20. Subtract to find the difference.
$2,400.00 - $592.20 = $1,807.80
Raphael made $1,807.80 after taxes.


Question: A pair of Howard High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2017 and 2018?

Answer: -5

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{15 games - 20 games}{2018 - 2017}
 = \frac{15 games - 20 games}{1 year}
 = \frac{-5 games}{1 year}
 = -5 games per year
The rate of change between 2017 and 2018 was - 5 games per year.


Question: Some dealerships compared their vehicle sales. What is the range of the numbers?

Answer: 14

Dealership | Number of vehicles
Affordable Cars | 19
RV City | 19
Truck City | 13
Ledbetter Auto Mall | 17
Ben's Used Cars | 27
Cars of Pryor Falls | 13

Affordable Cars
RV City
Truck City
Ledbetter Auto Mall
Ben's Used Cars
Cars of Pryor Falls

Solution:
Read the numbers from the table.

19, 19, 13, 17, 27, 13

First, find the greatest number. The greatest number is 27.

Next, find the least number. The least number is 13.

Subtract the least number from the greatest number:

27 − 13 = 14

The range is 14.


Question: Naomi has $0.50. Does she have enough to buy an elastic band and a spool of gold wire?

Choices:
- yes
- no

Answer: no

roll of electrical tape | $0.39
brass clip | $0.17
spool of gold wire | $0.40
short steel screw | $0.17
elastic band | $0.17
gold tack | $0.18

roll of electrical tape
brass clip
spool of gold wire
short steel screw
elastic band
gold tack

Solution:
Add the price of an elastic band and the price of a spool of gold wire:

$0.17 + $0.40 = $0.57

$0.57 is more than $0.50. Naomi does not have enough money.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: nonlinear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{6 - 16}{2 - 1}
 = \frac{-10}{1}
 = -10
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{5 - 6}{3 - 2}
 = \frac{-1}{1}
 = -1
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.


Question: Each necklace has 5 pearls. How many pearls are on 4 necklaces?

Answer: 20

Number of necklaces | Number of pearls
1 | 5
2 | 10
3 | 15
4 | ?

Solution: Count by fives. Use the chart: there are 20 pearls on 4 necklaces.


Question: Some pizza restaurants compared their pizza sales. In all, how many pizza slices did Pizzas Only and Mario's Pizzeria sell?

Answer: 2,677

Restaurant | Number of slices sold
Antonio's Pizzeria | 2,364
Pizzas Only | 1,470
Mario's Pizzeria | 1,207
The Big Cheese | 1,667

Antonio's Pizzeria
Pizzas Only
Mario's Pizzeria
The Big Cheese

Solution:
Find the numbers in the table.

Pizzas Only: 1,470
Mario's Pizzeria: 1,207

Now add: 1,470 + 1,207 = 2,677.

Pizzas Only and Mario's Pizzeria sold 2,677 pizza slices in all.


Question: Look at the following schedule. When does the zebra feeding end?

Choices:
- 9:10 A.M.
- 4:55 P.M.
- 6:15 P.M.
- 6:55 P.M.

Answer: 6:55 P.M.

Event | Begin | End
reptile show | 9:10 A.M. | 9:50 A.M.
penguin feeding | 9:55 A.M. | 11:15 A.M.
tiger lecture | 11:05 A.M. | 12:10 P.M.
panda lecture | 12:50 P.M. | 1:20 P.M.
koala feeding | 1:50 P.M. | 3:10 P.M.
bear lecture | 3:15 P.M. | 4:20 P.M.
bird show | 4:15 P.M. | 4:55 P.M.
giraffe feeding | 5:00 P.M. | 6:20 P.M.
zebra feeding | 6:15 P.M. | 6:55 P.M.

reptile show
penguin feeding
tiger lecture
panda lecture
koala feeding
bear lecture
bird show
giraffe feeding
zebra feeding

Solution:
Find the zebra feeding on the schedule. Find the end time for the zebra feeding.

zebra feeding: 6:55 P. M.


Question: A pumpkin patch monitored the number of pumpkins sold each day. How many more pumpkins did the pumpkin patch sell on Wednesday than on Thursday?

Answer: 486

Day | Number of pumpkins
Monday | 164
Tuesday | 401
Wednesday | 769
Thursday | 283
Friday | 544

Solution:
Find the numbers in the table.

Wednesday: 769
Thursday: 283

Now subtract: 769 - 283 = 486.

The pumpkin patch sold 486 more pumpkins on Wednesday.


Question: Each shelf has 2 blocks of cheese. How many blocks of cheese are on 4 shelves?

Answer: 8

Number of shelves | Number of blocks of cheese
1 | 2
2 | 4
3 | 6
4 | ?

Solution: Count by twos. Use the chart: there are 8 blocks of cheese on 4 shelves.


Question: Jason has $0.15. Does he have enough to buy a bead with green and blue swirls and a white bead with black spots?

Choices:
- yes
- no

Answer: yes

blue glass bead | $0.08
bead with green and blue swirls | $0.08
purple and red clay bead | $0.02
white bead with black spots | $0.06

blue glass bead
bead with green and blue swirls
purple and red clay bead
white bead with black spots

Solution:
Add the price of a bead with green and blue swirls and the price of a white bead with black spots:

$0.08 + $0.06 = $0.14

$0.14 is less than $0.15. Jason does have enough money.


Question: Look at the table. Then answer the question. At a price of $635, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $635, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.


Question: Each basket has 10 lilies. How many lilies are in 4 baskets?

Answer: 40

Number of baskets | Number of lilies
1 | 10
2 | 20
3 | 30
4 | ?

Solution: Count by tens. Use the chart: there are 40 lilies in 4 baskets.


Question: Sofia, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had at least 10 peppermint candies?

Answer: 17

Solution:
Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.

You counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 jars had at least 10 peppermint candies.


Question: An architecture student measured the heights of all the buildings downtown. How many buildings are exactly 77 meters tall?

Answer: 1

Solution:
For the number 77, the stem is 7, and the leaf is 7. Find the row where the stem is 7. In that row, count all the leaves equal to 7.

You counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 building is exactly 77 meters tall.


Question: A technical support line tracked how many calls it received each day. On which day did the support line receive the most calls?

Choices:
- Friday
- Saturday
- Sunday
- Monday

Answer: Saturday

Day | Number of calls
Friday | 139
Saturday | 193
Sunday | 192
Monday | 113

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 193.

Now find the corresponding day. Saturday corresponds to 193.


Question: Tracy has $0.14. Does she have enough to buy a brown cat's eye bead and a shiny red bead?

Choices:
- yes
- no

Answer: yes

shiny red bead | $0.05
orange glass bead | $0.06
square yellow bead | $0.06
brown cat's eye bead | $0.08
shiny metal bead | $0.07

shiny red bead
orange glass bead
square yellow bead
brown cat's eye bead
shiny metal bead

Solution:
Add the price of a brown cat's eye bead and the price of a shiny red bead:

$0.08 + $0.05 = $0.13

$0.13 is less than $0.14. Tracy does have enough money.


Question: Josiah's Treats counted how many times its most frequent customers ate ice cream last month. How many customers ate ice cream fewer than 2 times?

Answer: 29

Solution:
Find the rows for 0 and 1 time. Add the frequencies for these rows.

Add:

10 + 19 = 29

29 customers ate ice cream fewer than 2 times.


Question: The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the mean of the numbers?

Answer: 9

Day | Number of guests
Monday | 9
Tuesday | 9
Wednesday | 10
Thursday | 9
Friday | 8

Solution:
Read the numbers from the table.

9, 9, 10, 9, 8

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

9 + 9 + 10 + 9 + 8 = 45

Now divide the sum by the number of numbers:

45 ÷ 5 = 9

The mean is 9.


Question: Alvin kept track of how many laps he swam during the past 5 days. What is the median of the numbers?

Answer: 8

Day | Number of laps
Thursday | 5
Friday | 10
Saturday | 6
Sunday | 8
Monday | 10

Solution:
Read the numbers from the table.

5, 10, 6, 8, 10

First, arrange the numbers from least to greatest:

5, 6, 8, 10, 10

Now find the number in the middle.

5, 6, 8, 10, 10

The number in the middle is 8.

The median is 8.


Question: Lila sold boxes of cookies to raise money for her scout troop. She used a frequency chart to track her sales. Lila sold 1/3 as many boxes of lemon cookies as peanut butter cookies. How many boxes of lemon cookies did she sell?

Answer: 3

Type | Frequency
coconut caramel | 5
lemon | ?
mint chocolate | 11
marshmallow | 2
peanut butter | 9

coconut caramel
lemon
mint chocolate
marshmallow
peanut butter

Solution:
The frequencies tell you how many boxes of each cookie type Lila sold. Start by finding how many boxes of peanut butter cookies she sold.
as many boxes of lemon cookies. So, divide 9 by 3.
9 ÷ 3 = 3
Lila sold 3 boxes of lemon cookies.


Question: Michelle counted the number of ducks at each pond in the city. What is the largest number of ducks?

Answer: 90

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.

Now find the highest leaf in the last row. The highest leaf is 0.

The largest number of ducks has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.

The largest number of ducks is 90 ducks.


Question: Ron found out the sizes of all the clubs at his school. What is the size of the smallest club?

Answer: 22

Solution:
Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.

Now find the lowest leaf in the first row. The lowest leaf is 2.

The size of the smallest club has a stem of 2 and a leaf of 2. Write the stem first, then the leaf: 22.

The size of the smallest club is 22 members.


Question: While looking through an almanac at the library, Tucker noticed some data showing the population density of various states. How many people per square mile lived in South Dakota in 2000?

Answer: 10

State | 1990 | 2000
South Dakota | 9 | 10
North Dakota | 9 | 9
Nevada | 10 | 18
Wyoming | 4 | 5
Montana | 5 | 6

State
South Dakota
North Dakota
Nevada
Wyoming
Montana

Solution:
First, find the row for South Dakota. Then find the number in the 2000 column.

This number is 10. In 2000, South Dakota had 10 people per square mile.


Question: A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 30 broken crayons?

Answer: 17

Solution:
Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.

You counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 boxes had at least 30 broken crayons.


Question: Each shelf has 2 cups. How many cups are on 4 shelves?

Answer: 8

Number of shelves | Number of cups
1 | 2
2 | 4
3 | 6
4 | ?

Solution: Count by twos. Use the chart: there are 8 cups on 4 shelves.


Question: For an economics project, Mitch determined the cost of ferry rides for bicycles and cars. How much does it cost to take a bicycle on the Southport-Fort Fisher ferry?

Answer: 2

Ferry | Car | Bicycle
Fauntleroy-Vashon | $15 | $5
Seattle-Bremerton | $12 | $8
Mukilteu-Clinton | $7 | $5
Southport-Fort Fisher | $5 | $2
Ocracoke | $15 | $3

Fauntleroy-Vashon
Seattle-Bremerton
Mukilteu-Clinton
Southport-Fort Fisher
Ocracoke

Solution:
First, find the row for Southport-Fort Fisher. Then find the number in the Bicycle column.

This number is $2.00. It costs $2 to take a bicycle on the Southport-Fort Fisher ferry.


Question: Look at the following schedule. When does the banquet end?

Choices:
- 12:35 P.M.
- 7:55 P.M.
- 5:25 P.M.
- 2:00 P.M.

Answer: 12:35 P.M.

Event | Begin | End
banquet | 10:55 A.M. | 12:35 P.M.
band concert | 12:40 P.M. | 2:00 P.M.
choir concert | 1:45 P.M. | 3:55 P.M.
award ceremony | 3:20 P.M. | 4:30 P.M.
dance performance | 4:20 P.M. | 5:25 P.M.
drumming performance | 5:35 P.M. | 7:55 P.M.

banquet
band concert
choir concert
award ceremony
dance performance
drumming performance

Solution:
Find the banquet on the schedule. Find the end time for the banquet.

banquet: 12:35 P. M.


Question: How much money does Ariana need to buy 3 emerald rings and 7 sapphire pendants?

Answer: 65,845

ruby bracelet | $4,256.00
pearl necklace | $1,622.00
diamond pendant | $9,221.00
opal pendant | $3,234.00
sapphire pendant | $7,084.00
emerald ring | $5,419.00

ruby bracelet
pearl necklace
diamond pendant
opal pendant
sapphire pendant
emerald ring

Solution:
Find the cost of 3 emerald rings.

$5,419.00 × 3 = $16,257.00

Find the cost of 7 sapphire pendants.

$7,084.00 × 7 = $49,588.00

Now find the total cost.

$16,257.00 + $49,588.00 = $65,845.00

Ariana needs $65,845.00.


Question: Ms. Lester reported her students' scores on the most recent quiz. What is the lowest score?

Answer: 13

Solution:
Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.

Now find the lowest leaf in the first row. The lowest leaf is 3.

The lowest score has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.

The lowest score is 13 points.


Question: How much more does a surfing adventure package cost than a mountain-biking adventure package?

Answer: 246

mountain-biking adventure package | $733.00
deep-sea fishing package | $348.00
surfing adventure package | $979.00
whale-watching adventure package | $530.00

mountain-biking adventure package
deep-sea fishing package
surfing adventure package
whale-watching adventure package

Solution:
Subtract the price of a mountain-biking adventure package from the price of a surfing adventure package.

$979.00 - $733.00 = $246.00

A surfing adventure package costs $246.00 more than a mountain-biking adventure package.


Question: Look at this table. Is this relation a function?

Choices:
- yes
- no

Answer: yes

Solution:
Look at the x-values in the table.

Each of the x-values is paired with only one y-value, so the relation is a function.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{11 - 7}{1 - 0}
 = \frac{4}{1}
 = 4
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{15 - 11}{2 - 1}
 = \frac{4}{1}
 = 4
The two rates of change are the same.
If you checked the rate of change between rows 1 and 3, you would find that it is also 4.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: How much money does Myra need to buy a DVD player and a DVD?

Answer: 88

DVD player | $76.00
DVD | $12.00
blender | $20.00
calculator | $73.00
cell phone | $81.00
camera | $81.00

DVD player
DVD
blender
calculator
cell phone
camera

Solution:
Add the price of a DVD player and the price of a DVD:

$76.00 + $12.00 = $88.00

Myra needs $88.00.


Question: How much more does a leaf blower cost than a fountain?

Answer: 4

hammock | $99
fountain | $76
leaf blower | $80
rosebush | $32

Solution:
Subtract the price of a fountain from the price of a leaf blower.

$80 - $76 = $4

A leaf blower costs $4 more than a fountain.


Question: A county agency recorded the money donated to several charitable causes over time. In May, how much more money was raised for animals than for medical research?

Answer: 10

Cause | May | June
Parks | $2 | $12
Medical research | $8 | $20
Hunger | $7 | $2
Animals | $18 | $4
Education | $17 | $1

Parks
Medical research
Hunger
Animals
Education

Solution:
Find the May column. Find the numbers in this column for animals and medical research.

animals: $18.00
medical research: $8.00

Now subtract:

$18.00 − $8.00 = $10.00

In May, $10 more was raised for animals.


Question: This morning, Mr. Kline released the scores from last week's spelling test. How many students scored at least 55 points?

Answer: 12

Solution:
Find the row with stem 5. Count all the leaves greater than or equal to 5.

Count all the leaves in the rows with stems 6, 7, 8, and 9.

You counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 students scored at least 55 points.


Question: Every year Salem has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2016 and 2017?

Answer: 4

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{35 minutes - 31 minutes}{2017 - 2016}
 = \frac{35 minutes - 31 minutes}{1 year}
 = \frac{4 minutes}{1 year}
 = 4 minutes per year
The rate of change between 2016 and 2017 was 4 minutes per year.


Question: How much money does Haley need to buy a fancy ribbon and a red balloon?

Answer: 0.50

whistle | $0.97
red balloon | $0.19
noisemaker | $0.61
fancy ribbon | $0.31
party hat | $0.64

whistle
red balloon
noisemaker
fancy ribbon
party hat

Solution:
Add the price of a fancy ribbon and the price of a red balloon:

$0.31 + $0.19 = $0.50

Haley needs $0.50.


Question: The teachers at a middle school counted how many computers they had in their classrooms. What is the mean of the numbers?

Answer: 15

Teacher | Number of computers
Mrs. Tan | 11
Mr. Morales | 18
Mr. Watson | 18
Mrs. Jansen | 16
Mr. Schmidt | 13
Ms. Rojas | 16
Mrs. Rossi | 13

Mrs. Tan
Mr. Morales
Mr. Watson
Mrs. Jansen
Mr. Schmidt
Ms. Rojas
Mrs. Rossi

Solution:
Read the numbers from the table.

11, 18, 18, 16, 13, 16, 13

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

11 + 18 + 18 + 16 + 13 + 16 + 13 = 105

Now divide the sum by the number of numbers:

105 ÷ 7 = 15

The mean is 15.


Question: In hopes of raising more funds for arts education, some parents in the Clarksville School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2019 and 2020?

Answer: 6

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{$25 - $19}{2020 - 2019}
 = \frac{$25 - $19}{1 year}
 = \frac{$6}{1 year}
 = $6 per year
The rate of change between 2019 and 2020 was $6 per year.


Question: How much money does Aisha need to buy 8 tickets for a Caribbean cruise?

Answer: 38,088

ticket for an Australian cruise | $3,530
ticket for a Mediterranean cruise | $3,996
ticket for a Hawaiian cruise | $9,448
ticket for an Alaskan cruise | $4,136
ticket for a Caribbean cruise | $4,761

ticket for an Australian cruise
ticket for a Mediterranean cruise
ticket for a Hawaiian cruise
ticket for an Alaskan cruise
ticket for a Caribbean cruise

Solution:
Find the total cost of 8 tickets for a Caribbean cruise by multiplying 8 times the price of a ticket for a Caribbean cruise.

$4,761 × 8 = $38,088

Aisha needs $38,088.


Question: Grayson counted the number of pieces of pepperoni on each pizza he made. What is the smallest number of pieces of pepperoni?

Answer: 10

Solution:
Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.

Now find the lowest leaf in the first row. The lowest leaf is 0.

The smallest number of pieces of pepperoni has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.

The smallest number of pieces of pepperoni is 10 pieces of pepperoni.


Question: What is the total cost for 1.6 pounds of cashews?

Answer: 12.80

walnuts | $8/pound
cashews | $8/pound
hazelnuts | $4/pound
pecans | $6/pound
almonds | $4/pound
peanuts | $2/pound

walnuts cashews hazelnuts pecans almonds peanuts

Solution:
Find the cost of the cashews. Multiply the price per pound by the number of pounds.
$8 × 1.6 = $12.80
The total cost is $12.80.


Question: Look at the following schedule. Gabby is at Comfy Pillows Resort. If she wants to arrive at Magician Village at 11.30 P.M., what time should she get on the train?

Choices:
- 11:30 P.M.
- 4:15 P.M.
- 12:15 A.M.
- 9:00 P.M.

Answer: 9:00 P.M.

Comfy Pillows Resort | 2:30 A.M. | 11:15 A.M. | 9:00 P.M.
Pleasant River Campground | 3:30 A.M. | 12:15 P.M. | 10:00 P.M.
Floral Gardens | 4:15 A.M. | 1:00 P.M. | 10:45 P.M.
Magician Village | 5:00 A.M. | 1:45 P.M. | 11:30 P.M.
Skyscraper City | 5:45 A.M. | 2:30 P.M. | 12:15 A.M.
Gecko Paradise | 6:30 A.M. | 3:15 P.M. | 1:00 A.M.
Rocky Ravine Town | 7:30 A.M. | 4:15 P.M. | 2:00 A.M.

Comfy Pillows Resort
Pleasant River Campground
Floral Gardens
Magician Village
Skyscraper City
Gecko Paradise
Rocky Ravine Town

Solution:
Look at the row for Magician Village. Find the train that arrives at Magician Village at 11:30 P. M.

Look up the column until you find the row for Comfy Pillows Resort.

Gabby should get on the train at 9:00 P. M.


Question: A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 60 broken crayons but fewer than 100 broken crayons?

Answer: 12

Solution:
Count all the leaves in the rows with stems 6, 7, 8, and 9.

You counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 boxes had at least 60 broken crayons but fewer than 100 broken crayons.


Question: Scott has $31.00. Does he have enough to buy a pair of khaki pants and a pair of jeans?

Choices:
- yes
- no

Answer: no

pair of shorts | $18.00
pair of khaki pants | $13.00
winter jacket | $29.00
pair of jeans | $19.00

pair of shorts
pair of khaki pants
winter jacket
pair of jeans

Solution:
Add the price of a pair of khaki pants and the price of a pair of jeans:

$13.00 + $19.00 = $32.00

$32.00 is more than $31.00. Scott does not have enough money.


Question: Look at the following schedule. Which event begins at 12.50 P.M.?

Choices:
- jump rope race
- balloon stomp
- relay race
- tug-of-war

Answer: relay race

Event | Begin | End
three-legged race | 9:15 A.M. | 9:25 A.M.
balloon stomp | 9:35 A.M. | 10:30 A.M.
jump rope race | 10:35 A.M. | 11:15 A.M.
water balloon toss | 11:25 A.M. | 12:00 P.M.
obstacle course | 12:15 P.M. | 12:40 P.M.
relay race | 12:50 P.M. | 1:05 P.M.
bean bag toss | 1:10 P.M. | 1:25 P.M.
hula hoop contest | 1:30 P.M. | 2:10 P.M.
hurdles | 2:15 P.M. | 2:25 P.M.
tug-of-war | 2:30 P.M. | 3:20 P.M.

three-legged race
balloon stomp
jump rope race
water balloon toss
obstacle course
relay race
bean bag toss
hula hoop contest
hurdles
tug-of-war

Solution: Find 12:50 P. M. on the schedule. The relay race begins at 12:50 P. M.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{4 - 8}{8 - 7}
 = \frac{-4}{1}
 = -4
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{0 - 4}{9 - 8}
 = \frac{-4}{1}
 = -4
The two rates of change are the same.
4.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: Francesca owns a used car dealership. The frequency chart shows the cars she has in stock. How many cars does Francesca have in stock?

Answer: 55

Color | Frequency
white | 13
black | 14
red | 5
silver | 23

Solution:
The frequencies tell you how many cars of each color Francesca has in stock. To find how many cars she has in stock, add up all the frequencies.
13 + 14 + 5 + 23 = 55
Francesca has 55 cars in stock.


Question: Martha found out the sizes of all the clubs at her school. What is the size of the largest club?

Answer: 57

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.

Now find the highest leaf in the last row. The highest leaf is 7.

The size of the largest club has a stem of 5 and a leaf of 7. Write the stem first, then the leaf: 57.

The size of the largest club is 57 members.


Question: A pottery factory kept track of the number of broken plates per shipment last week. What is the largest number of broken plates?

Answer: 42

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.

Now find the highest leaf in the last row. The highest leaf is 2.

The largest number of broken plates has a stem of 4 and a leaf of 2. Write the stem first, then the leaf: 42.

The largest number of broken plates is 42 broken plates.


Question: Isaac buys 1 pound of rye. What is the total cost?

Answer: 2.84

oats | $1.39/lb
couscous | $1.22/lb
barley | $2.34/lb
rye | $2.84/lb
rice | $1.49/lb

Solution:
Find the cost of the rye. Multiply the price per pound by the number of pounds.

$2.84 × 1 = $2.84

The total cost is $2.84.


Question: This morning, Mr. Davidson released the scores from last week's spelling test. How many students scored fewer than 80 points?

Answer: 23

Solution:
Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.

You counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 students scored fewer than 80 points.