Question: Fans of the Castroville 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: 27

Games won by the Castroville baseball team

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 games - 18 games}{2017 - 2016}
 = \frac{45 games - 18 games}{1 year}
 = \frac{27 games}{1 year}
 = 27 games per year
The rate of change between 2016 and 2017 was 27 games per year.


Question: How much money does Deb need to buy 3 beach blankets?

Answer: 36

yellow bath towel | $11.00
beach blanket | $12.00
flannel sheet | $22.00
navy blue bath mat | $13.00
fleece blanket | $12.00

yellow bath towel
beach blanket
flannel sheet
navy blue bath mat
fleece blanket

Solution:
Find the total cost of 3 beach blankets by multiplying 3 times the price of a beach blanket.

$12.00 × 3 = $36.00

Deb needs $36.00.


Question: In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 30 cars?

Answer: 24

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

You counted 24 leaves, which are blue in the stem-and-leaf plot above. 24 parking lots had at least 30 cars.


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{11 - 17}{16 - 15}
 = \frac{-6}{1}
 = -6
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 - 11}{17 - 16}
 = \frac{-7}{1}
 = -7
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: The owner of a pick-your-own-bouquet flower farm recorded the number of flowers that customers picked yesterday. How many customers picked at least 4 flowers?

Answer: 15

Flowers picked | Frequency
1 | 7
2 | 20
3 | 15
4 | 8
5 | 5
6 | 2

Solution:
Find the rows for 4, 5, and 6 flowers. Add the frequencies for these rows.

Add:

8 + 5 + 2 = 15

15 customers picked at least 4 flowers.


Question: In science class, Brittany is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?

Choices:
- Death Valley
- Vostok Station

Answer: Death Valley

Location | Temperature (°F)
Death Valley | 134
Vostok Station | -128

Solution:
A positive number means the temperature was above zero. A negative number means the temperature was below zero.
To find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.
Death Valley: |134| = 134
Vostok Station: |-128| = 128
The temperature of Death Valley was further from zero. It was 134 degrees above zero.


Question: Julian has $1,354.00. Does he have enough to buy a portable DVD player and a digital camera?

Choices:
- yes
- no

Answer: no

big screen TV | $741.00
digital camera | $957.00
portable DVD player | $428.00
video game system | $252.00
MP3 player | $465.00

big screen TV
digital camera
portable DVD player
video game system
MP3 player

Solution:
Add the price of a portable DVD player and the price of a digital camera:

$428.00 + $957.00 = $1,385.00

$1,385.00 is more than $1,354.00. Julian does not have enough money.


Question: A zoologist counted the number of reptiles at each of the state's zoos. How many crocodiles are there at the Pacific Zoo?

Answer: 8

Zoo | Crocodiles | Lizards
Eastern Zoo | 12 | 14
Pacific Zoo | 8 | 20
South Zoo | 3 | 2
Northside Zoo | 11 | 16

Eastern Zoo
Pacific Zoo
South Zoo
Northside Zoo

Solution:
First, find the row for Pacific Zoo. Then find the number in the Crocodiles column.

This number is 8. The Pacific Zoo has 8 crocodiles.


Question: How much money does Trisha need to buy 8 chess boards?

Answer: 184

trampoline | $51.00
board game | $23.00
teddy bear | $16.00
chess board | $23.00
toy guitar | $12.00

trampoline
board game
teddy bear
chess board
toy guitar

Solution:
Find the total cost of 8 chess boards by multiplying 8 times the price of a chess board.

$23.00 × 8 = $184.00

Trisha needs $184.00.


Question: How much money does Reid need to buy a small bottle of glue, a small yellow button, and a sewing needle?

Answer: 0.99

spool of metallic cord | $0.36
small yellow button | $0.11
spool of silver wire | $0.12
small bottle of glue | $0.38
sewing needle | $0.50
orange ribbon | $0.36

spool of metallic cord
small yellow button
spool of silver wire
small bottle of glue
sewing needle
orange ribbon

Solution:
Find the total cost of a small bottle of glue, a small yellow button, and a sewing needle.

$0.38 + $0.11 + $0.50 = $0.99

Reid needs $0.99.


Question: Each jar has 10 fireflies. How many fireflies are in 3 jars?

Answer: 30

Number of jars | Number of fireflies
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 fireflies in 3 jars.


Question: The advertising agency counted the number of billboards in each city in the state. How many cities have at least 30 billboards but fewer than 50 billboards?

Answer: 5

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

You counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 cities have at least 30 billboards but fewer than 50 billboards.


Question: Reggie has $0.50. Does he have enough to buy a thin green highlighter and a small box of paper clips?

Choices:
- yes
- no

Answer: yes

bright yellow highlighter | $0.29
thick black marker | $0.72
thin green highlighter | $0.14
small box of paper clips | $0.25
thin blue marker | $0.77

bright yellow highlighter
thick black marker
thin green highlighter
small box of paper clips
thin blue marker

Solution:
Add the price of a thin green highlighter and the price of a small box of paper clips:

$0.14 + $0.25 = $0.39

$0.39 is less than $0.50. Reggie does have enough money.


Question: How much money does William need to buy a long-sleeved shirt, a pair of white socks, and a pair of khaki pants?

Answer: 18.34

pair of white socks | $4.10
blue shirt | $4.34
striped shirt | $2.46
long-sleeved shirt | $8.02
pair of khaki pants | $6.22

pair of white socks
blue shirt
striped shirt
long-sleeved shirt
pair of khaki pants

Solution:
Find the total cost of a long-sleeved shirt, a pair of white socks, and a pair of khaki pants.

$8.02 + $4.10 + $6.22 = $18.34

William needs $18.34.


Question: The transportation company tracked the number of train tickets sold in the past 5 days. What is the median of the numbers?

Answer: 24

Day | Number of tickets
Tuesday | 24
Wednesday | 28
Thursday | 26
Friday | 24
Saturday | 20

Tuesday Wednesday Thursday Friday Saturday

Solution:
Read the numbers from the table.

24, 28, 26, 24, 20

First, arrange the numbers from least to greatest:

20, 24, 24, 26, 28

Now find the number in the middle.

20, 24, 24, 26, 28

The number in the middle is 24.

The median is 24.


Question: How much money does Jen need to buy a diamond bracelet and a garnet ring?

Answer: 1,494

emerald ring | $980.00
diamond bracelet | $975.00
opal ring | $753.00
sapphire pendant | $813.00
pearl bracelet | $864.00
garnet ring | $519.00

emerald ring
diamond bracelet
opal ring
sapphire pendant
pearl bracelet
garnet ring

Solution:
Add the price of a diamond bracelet and the price of a garnet ring:

$975.00 + $519.00 = $1,494.00

Jen needs $1,494.00.


Question: A city monitored how many cars went through a certain intersection in the past 3 days. How many cars in total went through the intersection on Sunday and Monday?

Answer: 5,747

Day | Number of cars
Saturday | 4,108
Sunday | 1,321
Monday | 4,426

Solution:
Find the numbers in the table.

Sunday: 1,321
Monday: 4,426

Now add: 1,321 + 4,426 = 5,747.

5,747 cars went through the intersection on Sunday and Monday.


Question: A city monitored how many cars went through a certain intersection in the past 4 days. How many more cars went through the intersection on Friday than on Wednesday?

Answer: 6,472

Day | Number of cars
Tuesday | 4,026
Wednesday | 1,868
Thursday | 5,137
Friday | 8,340

Solution:
Find the numbers in the table.

Friday: 8,340
Wednesday: 1,868

Now subtract: 8,340 - 1,868 = 6,472.

6,472 more cars went through the intersection on Friday.


Question: Kaylee purchased 0.2 pounds of rectangular erasers . What was the total cost?

Answer: 0.60

alphabet erasers | $3/lb
animal erasers | $3/lb
rectangular erasers | $3/lb
star erasers | $5/lb

alphabet erasers
animal erasers
rectangular erasers
star erasers

Solution:
Find the cost of the rectangular erasers. Multiply the price per pound by the number of pounds.
$3 × 0.2 = $0.60
The total cost was $0.60.


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

Answer: 7

Person | Number of Web pages
Barry | 8
Adele | 7
David | 9
Emmy | 5
Carlos | 9
Vince | 4
Kari | 7
Ted | 7

Barry Adele David Emmy Carlos Vince Kari Ted

Solution:
Read the numbers from the table.

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

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

8 + 7 + 9 + 5 + 9 + 4 + 7 + 7 = 56

Now divide the sum by the number of numbers:

56 ÷ 8 = 7

The mean is 7.


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: A business analyst compared purchases of different types of cereal. In all, how many boxes of Oaty Yums and Vanilla Honey Clusters were purchased?

Answer: 8,116

Cereal | Number of boxes purchased
Fruit-E-Ohs | 8,176
Oaty Yums | 4,708
Sugar Pops | 6,537
Vanilla Honey Clusters | 3,408

Fruit-E-Ohs
Oaty Yums
Sugar Pops
Vanilla Honey Clusters

Solution:
Find the numbers in the table.

Oaty Yums: 4,708
Vanilla Honey Clusters: 3,408

Now add: 4,708 + 3,408 = 8,116.

In all, 8,116 boxes of Oaty Yums and Vanilla Honey Clusters were purchased.


Question: Some students compared how many pairs of boots they own. How many students own at least 2 pairs of boots?

Answer: 19

Number of pairs of boots | Frequency
0 | 1
1 | 12
2 | 2
3 | 4
4 | 13

Solution:
Find the rows for 2, 3, and 4 pairs of boots. Add the frequencies for these rows.

Add:

2 + 4 + 13 = 19

19 students own at least 2 pairs of boots.


Question: During Fitness Day at school, Maria and her classmates took part in a pull-up competition, keeping track of the results. How many people did fewer than 90 pull-ups?

Answer: 11

Pull-up competition (number of pull-ups)

Solution:
Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, and 8.

You counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 people did fewer than 90 pull-ups.


Question: An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. How much aid did Nepal receive per capita in 1965?

Answer: 2

Solution:
First, find the row for Nepal. Then find the number in the 1965 column.

This number is $2.00. In 1965, Nepal received $2 in aid per capita.


Question: Tristan counted the number of problems on each of his tests. How many tests had fewer than 60 problems?

Answer: 6

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

You counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 tests had fewer than 60 problems.


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

Answer: 8

Name | Number of clubs
Jaylen | 8
Erin | 2
Wendy | 8
Samuel | 4
Mia | 9
Liz | 9
Zack | 10
Andy | 4

Jaylen Erin Wendy Samuel Mia Liz Zack Andy

Solution:
Read the numbers from the table.

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

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: A real estate agent looked into how many houses were sold in different cities. What is the mode of the numbers?

Answer: 35

City | Number of houses sold
Pennytown | 39
Fremont | 35
Charles Falls | 35
Liberty City | 35
New Hamburg | 39

Pennytown
Fremont
Charles Falls
Liberty City
New Hamburg

Solution:
Read the numbers from the table.

39, 35, 35, 35, 39

First, arrange the numbers from least to greatest:

35, 35, 35, 39, 39

Now count how many times each number appears.

35 appears 3 times.
39 appears 2 times.

The number that appears most often is 35.

The mode is 35.


Question: Kenny went to the store and bought 1 kilogram of salted almonds. How much did he spend?

Answer: 0.98

unsalted almonds | $2.17 per kg
salted almonds | $0.98 per kg
yogurt-covered almonds | $2.00 per kg
chocolate-covered almonds | $1.76 per kg

unsalted almonds
salted almonds
yogurt-covered almonds
chocolate-covered almonds

$2.17 per kg
$0.98 per kg
$2.00 per kg
$1.76 per kg

Solution:
Find the cost of the salted almonds. Multiply the price per kilogram by the number of kilograms.

$0.98 × 1 = $0.98

He spent $0.98.


Question: Look at the following schedule. When does the school board meeting begin?

Choices:
- 10:55 A.M.
- 9:10 A.M.
- 8:15 A.M.
- 2:00 P.M.

Answer: 10:55 A.M.

Meeting | Begin | End
transportation meeting | 8:15 A.M. | 9:30 A.M.
fire department meeting | 9:10 A.M. | 10:50 A.M.
school board meeting | 10:55 A.M. | 12:10 P.M.
police meeting | 12:40 P.M. | 2:00 P.M.
budget meeting | 2:00 P.M. | 3:00 P.M.

transportation meeting
fire department meeting
school board meeting
police meeting
budget meeting

Solution:
Find the school board meeting on the schedule. Find the beginning time for the school board meeting.

school board meeting: 10:55 A. M.


Question: How much more does a photograph signed by a famous singer cost than a skate signed by a famous figure skater?

Answer: 11.97

photograph signed by a famous singer | $98.40
photograph signed by a famous race car driver | $23.38
skate signed by a famous figure skater | $86.43
ball signed by a famous football player | $53.07

Solution:
Subtract the price of a skate signed by a famous figure skater from the price of a photograph signed by a famous singer.

$98.40 - $86.43 = $11.97

A photograph signed by a famous singer costs $11.97 more than a skate signed by a famous figure skater.


Question: Look at the table. Then answer the question. At a price of $870, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $870, 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: Percy's class recorded how many cans of food each student collected for their canned food drive. How many more cans of food did Percy collect than Carlos?

Answer: 375

Name | Number of cans of food
Carlos | 442
Travis | 171
Percy | 817

Solution:
Find the numbers in the table.

Percy: 817
Carlos: 442

Now subtract: 817 - 442 = 375.

Percy collected 375 more cans.


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{6 - 9}{12 - 11}
 = \frac{-3}{1}
 = -3
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 - 9}{13 - 11}
 = \frac{-6}{2}
 = -3
The two rates of change are the same.
3.
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 jar has 10 olives. How many olives are in 5 jars?

Answer: 50

Number of jars | Number of olives
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 olives in 5 jars.


Question: Devon counted the number of silver beads on each bracelet at Newport Jewelry, the store where she works. How many bracelets had at least 70 silver beads but fewer than 80 silver beads?

Answer: 11

Solution:
Count all the leaves in the row with stem 7.

You counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 bracelets had at least 70 silver beads but fewer than 80 silver beads.


Question: After a trip to the zoo, the students in Ms. Chandler's science class voted for their favorite animals. How many more boys voted for polar bears than tigers?

Answer: 11

Animal | Girls | Boys
Penguins | 18 | 11
Polar bears | 10 | 18
Elephants | 1 | 1
Tigers | 5 | 7

Solution:
Find the Boys column. Find the numbers in this column for polar bears and tigers.

polar bears: 18
tigers: 7

Now subtract:

18 − 7 = 11

11 more boys voted for polar bears than tigers.


Question: A veterinarian in Richmond treats a number of different kinds of animals every year. What fraction of pets treated were dogs? Simplify your answer.

Answer: 10/83

Pet | Number of cases
Dogs | 300
Rodents | 710
Birds | 510
Rabbits | 580
Other | 390

Solution:
Find how many dogs were treated.

300

Find how many pets were treated in total.

300 + 710 + 510 + 580 + 390 = 2,490

Divide 300 by2,490.

\frac{300}{2,490}

Reduce the fraction.

\frac{300}{2,490} → \frac{10}{83}

\frac{10}{83} of dogs were treated.


Question: Brody purchased 4 pounds of double chocolate ice cream, 5 pounds of mint ice cream, and 4 pounds of coffee ice cream. What was the total cost?

Answer: 58

coffee ice cream | $5/pound
cookie dough ice cream | $6/pound
double chocolate ice cream | $2/pound
cherry ice cream | $4/pound
mint ice cream | $6/pound
strawberry ice cream | $6/pound

coffee ice cream
cookie dough ice cream
double chocolate ice cream
cherry ice cream
mint ice cream
strawberry ice cream

Solution:
Find the cost of the double chocolate ice cream. Multiply:

$2 × 4 = $8

Find the cost of the mint ice cream. Multiply:

$6 × 5 = $30

Find the cost of the coffee ice cream. Multiply:

$5 × 4 = $20

Now find the total cost by adding:

$8 + $30 + $20 = $58

The total cost was $58.


Question: How many more boys than girls are in Mr. Orange's class?

Answer: 2

Teacher | Boys | Girls
Mr. Burgundy | 8 | 11
Ms. Brown | 18 | 18
Mr. Orange | 6 | 4
Miss Black | 14 | 6

Mr. Burgundy
Ms. Brown
Mr. Orange
Miss Black

Solution:
Find the Mr. Orange row. Find the numbers in this row for boys and girls.

boys: 6
girls: 4

Now subtract:

6 − 4 = 2

2 more boys than girls are in Mr. Orange's class.


Question: Employees at Bert's Movies tracked the number of movies that customers rented last month. How many customers rented a movie fewer than 2 times?

Answer: 16

Number of times | Frequency
0 | 0
1 | 16
2 | 12
3 | 20
4 | 5
5 | 3

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

Add:

0 + 16 = 16

16 customers rented a movie fewer than 2 times.


Question: How much would it cost to buy 5 kilograms of unsalted popcorn?

Answer: 10

corn tortilla chips | $2/kilogram
unsalted popcorn | $2/kilogram
flour tortilla chips | $1/kilogram
cheese puffs | $1/kilogram

corn tortilla chips
unsalted popcorn
flour tortilla chips
cheese puffs

Solution:
Find the cost of the unsalted popcorn. Multiply the price per kilogram by the number of kilograms.
$2 × 5 = $10
It would cost $10.


Question: How much money does Mackenzie need to buy a designer handbag and a designer scarf?

Answer: 1,065

designer skirt | $456
designer handbag | $794
designer scarf | $271
designer coat | $881

designer skirt
designer handbag
designer scarf
designer coat

Solution:
Add the price of a designer handbag and the price of a designer scarf:

$794 + $271 = $1,065

Mackenzie needs $1,065.


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

Choices:
- Vince
- Herman
- Tom
- Wesley

Answer: Wesley

Name | Score
Vince | 445
Herman | 425
Tom | 422
Wesley | 452

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 452.

Now find the corresponding name. Wesley corresponds to 452.


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 at least 4 times last month?

Answer: 50

Solution:
Find the rows for 4, 5, and 6 times last month. Add the frequencies for these rows.

Add:

18 + 13 + 19 = 50

50 people went to the library at least 4 times last month.


Question: How much money does Mona need to buy a robot stamp and 4 flag stamps?

Answer: 1.06

tulip stamp | $0.36
flag stamp | $0.16
sheet of animal stamps | $0.17
bird postcard | $0.30
robot stamp | $0.42
lighthouse postcard | $0.22

tulip stamp
flag stamp
sheet of animal stamps
bird postcard
robot stamp
lighthouse postcard

Solution:
Find the cost of 4 flag stamps.

$0.16 × 4 = $0.64

Now find the total cost.

$0.42 + $0.64 = $1.06

Mona needs $1.06.


Question: How much more does a train ticket to San Francisco cost than a train ticket to Boston?

Answer: 400

train ticket to Los Angeles | $164.00
train ticket to San Francisco | $883.00
train ticket to St. Louis | $161.00
train ticket to Chicago | $274.00
train ticket to Boston | $483.00

train ticket to Los Angeles
train ticket to San Francisco
train ticket to St. Louis
train ticket to Chicago
train ticket to Boston

Solution:
Subtract the price of a train ticket to Boston from the price of a train ticket to San Francisco.

$883.00 - $483.00 = $400.00

A train ticket to San Francisco costs $400.00 more than a train ticket to Boston.


Question: Some pizza restaurants compared their pizza sales. In all, how many pizza slices did Deep Dish by Dan and Pizzeria Italiano sell?

Answer: 499

Restaurant | Number of slices sold
The Big Cheese | 810
New York Slice | 523
Deep Dish by Dan | 344
Pizzeria Italiano | 155

The Big Cheese
New York Slice
Deep Dish by Dan
Pizzeria Italiano

Solution:
Find the numbers in the table.

Deep Dish by Dan: 344
Pizzeria Italiano: 155

Now add: 344 + 155 = 499.

Deep Dish by Dan and Pizzeria Italiano sold 499 pizza slices in all.


Question: A stock broker followed the stock prices of a certain set of companies. On Thursday, which company's stock cost the most?

Choices:
- Houston Sporting Goods
- Watson and Partners
- White and Company
- Thompson Corporation

Answer: Thompson Corporation

Company | Wednesday | Thursday
Computer Data Company | $8 | $5
Watson and Partners | $9 | $7
White and Company | $13 | $15
Thompson Corporation | $10 | $19
Houston Sporting Goods | $12 | $10

Computer Data Company
Watson and Partners
White and Company
Thompson Corporation
Houston Sporting Goods

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

The greatest number is $19.00, which is in the Thompson Corporation row. On Thursday, Thompson Corporation's stock cost the most.


Question: The parks department compared how many soccer fields there are at each park. What is the median of the numbers?

Answer: 5

Park | Number of soccer fields
Lighthouse Park | 3
Moon Park | 7
Canyon Park | 1
Madison Park | 6
Crane Park | 1
Juniper Park | 5
Middle Park | 7

Lighthouse Park
Moon Park
Canyon Park
Madison Park
Crane Park
Juniper Park
Middle Park

Solution:
Read the numbers from the table.

3, 7, 1, 6, 1, 5, 7

First, arrange the numbers from least to greatest:

1, 1, 3, 5, 6, 7, 7

Now find the number in the middle.

1, 1, 3, 5, 6, 7, 7

The number in the middle is 5.

The median is 5.


Question: The architecture student counted the number of bricks in each building in his neighborhood. How many buildings have fewer than 82 bricks?

Answer: 6

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

In the row with stem 8, count all the leaves less than 2.

You counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 buildings have fewer than 82 bricks.


Question: How much money does Carmen need to buy a snow plow and a dirt bike?

Answer: 10,786

kayak | $2,303
snowmobile | $1,030
dirt bike | $3,676
snow plow | $7,110

Solution:
Add the price of a snow plow and the price of a dirt bike:

$7,110 + $3,676 = $10,786

Carmen needs $10,786.


Question: Each bucket has 5 red blocks. How many red blocks are in 6 buckets?

Answer: 30

Number of buckets | Number of red blocks
1 | 5
2 | 10
3 | 15
4 | 20
5 | 25
6 | ?

Solution: Count by fives. Use the chart: there are 30 red blocks in 6 buckets.


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 3 is paired with multiple y-values, so the relation is not a function.


Question: An adventure tour company found out how many whales people saw on its most popular whale tour. How many people saw fewer than 3 whales?

Answer: 50

Solution:
Find the rows for 0, 1, and 2 whales. Add the frequencies for these rows.

Add:

20 + 11 + 19 = 50

50 people saw fewer than 3 whales.


Question: The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 50 birds but fewer than 78 birds?

Answer: 8

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

In the row with stem 7, count all the leaves less than 8.

You counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 flocks had at least 50 birds but fewer than 78 birds.


Question: Doug's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?

Choices:
- underground lake
- mountain peak

Answer: underground lake

Destination | Elevation (ft.)
Underground lake | -350
Mountain peak | 325

Solution:
The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.
To find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.
Underground lake: |-350| = 350
Mountain peak: |325| = 325
The underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.


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: Look at the table. Then answer the question. At a price of $145, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $145, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.


Question: Kenny went to the store and bought 2 pounds of Chinese lettuce and 1 pound of romaine lettuce. How much did he spend?

Answer: 5

summer crisp lettuce | $4/pound
butterhead lettuce | $1/pound
romaine lettuce | $1/pound
Chinese lettuce | $2/pound

summer crisp lettuce
butterhead lettuce
romaine lettuce
Chinese lettuce

Solution:
Find the cost of the Chinese lettuce. Multiply:

$2 × 2 = $4

Find the cost of the romaine lettuce. Multiply:

$1 × 1 = $1

Now find the total cost by adding:

$4 + $1 = $5

He spent $5.


Question: Jayden graphed the daily low temperature for 5 days. What is the mean of the numbers?

Answer: 7

Day | Temperature (Â°C)
Monday | 7
Tuesday | 5
Wednesday | 9
Thursday | 4
Friday | 10

Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

7, 5, 9, 4, 10

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

7 + 5 + 9 + 4 + 10 = 35

Now divide the sum by the number of numbers:

35 ÷ 5 = 7

The mean is 7.


Question: Meg went to the store. She bought 2 kilograms of small binder clips and 4 kilograms of large binder clips. How much did she spend?

Answer: 12.76

large binder clips | $2.21/kg
jumbo binder clips | $2.36/kg
small binder clips | $1.96/kg
standard paper clips | $2.13/kg
colored paper clips | $2.14/kg
medium binder clips | $2.08/kg

large binder clips
jumbo binder clips
small binder clips
standard paper clips
colored paper clips
medium binder clips

Solution:
Find the cost of the small binder clips. Multiply:

$1.96 × 2 = $3.92

Find the cost of the large binder clips. Multiply:

$2.21 × 4 = $8.84

Now find the total cost by adding:

$3.92 + $8.84 = $12.76

She spent $12.76.


Question: Alan went to the store. He bought 5 kilograms of orange chocolate. How much did he spend?

Answer: 13.30

white chocolate | $2.24/kg
orange chocolate | $2.66/kg
bittersweet chocolate | $2.90/kg
semisweet chocolate | $1.75/kg
dark chocolate | $2.28/kg

white chocolate
orange chocolate
bittersweet chocolate
semisweet chocolate
dark chocolate

Solution:
Find the cost of the orange chocolate. Multiply the price per kilogram by the number of kilograms.

$2.66 × 5 = $13.30

He spent $13.30.


Question: Ayana purchased 0.5 kilograms of Greek olives. What was the total cost?

Answer: 1.50

Greek olives | $3 per kg
black olives | $2 per kg
Spanish olives | $3 per kg
green olives | $3 per kg

Greek olives
black olives
Spanish olives
green olives

Solution:
Find the cost of the Greek olives. Multiply the price per kilogram by the number of kilograms.
$3 × 0.5 = $1.50
The total cost was $1.50.


Question: Some friends discussed the sizes of their coin collections. Who has the fewest coins?

Choices:
- Fred
- Anita
- Hazel
- Valentina

Answer: Valentina

Name | Number of coins
Fred | 31
Anita | 34
Hazel | 39
Valentina | 30

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 30.

Now find the corresponding name. Valentina corresponds to 30.


Question: Mrs. Hammond kept track of her students' scores on last year's final exam. How many students scored exactly 90 points?

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 students scored exactly 90 points.


Question: Some friends played a trivia game and recorded their scores. What is the mode of the numbers?

Answer: 55

Name | Score
Vijay | 46
Scott | 55
Bob | 55
Jason | 46
Heather | 48
Charlie | 55
Aiden | 48

Vijay Scott Bob Jason Heather Charlie Aiden

Solution:
Read the numbers from the table.

46, 55, 55, 46, 48, 55, 48

First, arrange the numbers from least to greatest:

46, 46, 48, 48, 55, 55, 55

Now count how many times each number appears.

46 appears 2 times.
48 appears 2 times.
55 appears 3 times.

The number that appears most often is 55.

The mode is 55.


Question: A philanthropic organization compared the amounts of money that its members donated to certain causes. How much did Jayce donate to hunger prevention?

Answer: 3

Person | Job training | Hunger prevention
Darrell | $6 | $11
Sofia | $17 | $6
Jayce | $6 | $3

Solution:
First, find the row for Jayce. Then find the number in the Hunger prevention column.

This number is $3.00. Jayce donated $3 to hunger prevention.


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

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 highest score has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.

The highest score is 90 points.


Question: Sue counted the number of pieces of pepperoni on each pizza she made. How many pizzas had at least 10 pieces of pepperoni but fewer than 30 pieces of pepperoni?

Answer: 9

Solution:
Count all the leaves in the rows with stems 1 and 2.

You counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 pizzas had at least 10 pieces of pepperoni but fewer than 30 pieces of pepperoni.


Question: How much more does a CD signed by a famous band cost than a photograph signed by a famous race car driver?

Answer: 4

bat signed by a famous baseball player | $75
jersey signed by a famous hockey player | $83
photograph signed by a famous singer | $78
CD signed by a famous band | $48
photograph signed by a famous race car driver | $44

Solution:
Subtract the price of a photograph signed by a famous race car driver from the price of a CD signed by a famous band.

$48 - $44 = $4

A CD signed by a famous band costs $4 more than a photograph signed by a famous race car driver.


Question: How much money does Marvin need to buy a cherry pie and 2 key lime pies?

Answer: 42.06

carrot cake | $24.99
key lime pie | $14.14
cherry pie | $13.78
peach pie | $10.07
pecan pie | $12.86

carrot cake
key lime pie
cherry pie
peach pie
pecan pie

Solution:
Find the cost of 2 key lime pies.

$14.14 × 2 = $28.28

Now find the total cost.

$13.78 + $28.28 = $42.06

Marvin needs $42.06.


Question: To get to know her students better, Ms. Garner surveyed her math students to determine what hobbies and school subjects they prefer. What is the probability that a randomly selected student prefers literature and enjoys student council? Simplify any fractions.

Answer: 1/3

 | Poetry | Student council
Math | 6 | 3
Literature | 3 | 6

Solution:
Let A be the event "the student prefers literature" and B be the event "the student enjoys student council".
To find the probability that a student prefers literature and enjoys student council, first identify the sample space and the event.
The outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the student prefers literature and enjoys student council".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the student prefers literature and enjoys student council", so look at the table to see how many students prefer literature and enjoy student council.
The number of students who prefer literature and enjoy student council is 6.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of students.
6 + 3 + 3 + 6 = 18

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{6}{18}
 = \frac{1}{3}
The probability that a student prefers literature and enjoys student council is \frac{1}{3}.


Question: A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll is labeled not spicy and contains salmon? Simplify any fractions.

Answer: 1/3

 | Yellowtail | Salmon
Not spicy | 4 | 4
A little spicy | 2 | 2

Solution:
Let A be the event "the sushi roll is labeled not spicy" and B be the event "the sushi roll contains salmon".
To find the probability that a sushi roll is labeled not spicy and contains salmon, first identify the sample space and the event.
The outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the sushi roll is labeled not spicy and contains salmon".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the sushi roll is labeled not spicy and contains salmon", so look at the table to see how many sushi rolls are labeled not spicy and contain salmon.
The number of sushi rolls that are labeled not spicy and contain salmon is 4.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of sushi rolls.
4 + 2 + 4 + 2 = 12

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{4}{12}
 = \frac{1}{3}
The probability that a sushi roll is labeled not spicy and contains salmon is \frac{1}{3}.


Question: At a swim meet, Joel noted the size of various swim teams. What is the size of the smallest team?

Answer: 11

Swimming team sizes (number of swimmers)

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 1.

The size of the smallest team has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.

The size of the smallest team is 11 swimmers.


Question: Rob buys 5 pounds of Parmesan popcorn and 5 pounds of cheddar popcorn. How much does he spend?

Answer: 15

caramel corn | $4 per pound
kettle corn | $1 per pound
Parmesan popcorn | $2 per pound
chocolate popcorn | $2 per pound
cheddar popcorn | $1 per pound

caramel corn
kettle corn
Parmesan popcorn
chocolate popcorn
cheddar popcorn

$4 per pound
$1 per pound
$2 per pound
$2 per pound
$1 per pound

Solution:
Find the cost of the Parmesan popcorn. Multiply:

$2 × 5 = $10

Find the cost of the cheddar popcorn. Multiply:

$1 × 5 = $5

Now find the total cost by adding:

$10 + $5 = $15

He spends $15.


Question: Jamie, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 40 square meters but less than 83 square meters?

Answer: 8

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

In the row with stem 8, count all the leaves less than 3.

You counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 offices are at least 40 square meters but less than 83 square meters.


Question: How much money does Katy need to buy 2 yellow skirts and a pair of jeans?

Answer: 80

black skirt | $20
gray sweatshirt | $11
yellow skirt | $20
green dress | $47
pair of jeans | $40

black skirt
gray sweatshirt
yellow skirt
green dress
pair of jeans

Solution:
Find the cost of 2 yellow skirts.

$20 × 2 = $40

Now find the total cost.

$40 + $40 = $80

Katy needs $80.


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

Answer: 9

Teacher | Number of computers
Mr. Morales | 3
Ms. Rojas | 10
Mrs. Tan | 9
Mrs. Jansen | 10
Mr. Lim | 9
Mr. Watson | 2
Miss Murphy | 10

Mr. Morales
Ms. Rojas
Mrs. Tan
Mrs. Jansen
Mr. Lim
Mr. Watson
Miss Murphy

Solution:
Read the numbers from the table.

3, 10, 9, 10, 9, 2, 10

First, arrange the numbers from least to greatest:

2, 3, 9, 9, 10, 10, 10

Now find the number in the middle.

2, 3, 9, 9, 10, 10, 10

The number in the middle is 9.

The median is 9.


Question: A pretzel stand owner kept track of the number of pretzels sold during the past 3 days. How many pretzels in total did the stand sell on Sunday and Monday?

Answer: 822

Day | Number of pretzels
Saturday | 125
Sunday | 590
Monday | 232

Solution:
Find the numbers in the table.

Sunday: 590
Monday: 232

Now add: 590 + 232 = 822.

The stand sold 822 pretzels on Sunday and Monday.


Question: Look at the following schedule. At which stop does the bus arrive at 12.35 P.M.?

Choices:
- grocery store
- playground
- movie theater
- school

Answer: school

Location | Time
the post office | 10:10 A.M.
the grocery store | 10:25 A.M.
the movie theater | 10:50 A.M.
the science museum | 11:10 A.M.
the doctor's office | 11:55 A.M.
the school | 12:35 P.M.
the mall | 12:45 P.M.
the kickball field | 12:50 P.M.
the playground | 1:15 P.M.

the post office
the grocery store
the movie theater
the science museum
the doctor's office
the school
the mall
the kickball field
the playground

Solution: Find 12:35 P. M. on the schedule. The bus arrives at the school at 12:35 P. M.


Question: How much more does a baseball ticket cost than a tennis ticket?

Answer: 48

basketball ticket | $58
tennis ticket | $35
hockey ticket | $83
baseball ticket | $83

basketball ticket
tennis ticket
hockey ticket
baseball ticket

Solution:
Subtract the price of a tennis ticket from the price of a baseball ticket.

$83 - $35 = $48

A baseball ticket costs $48 more than a tennis ticket.


Question: Layla kept track of how many kilometers she walked during the past 7 days. What is the range of the numbers?

Answer: 14

Day | Kilometers
Tuesday | 12
Wednesday | 7
Thursday | 14
Friday | 8
Saturday | 12
Sunday | 1
Monday | 0

Tuesday Wednesday Thursday Friday Saturday Sunday Monday

Solution:
Read the numbers from the table.

12, 7, 14, 8, 12, 1, 0

First, find the greatest number. The greatest number is 14.

Next, find the least number. The least number is 0.

Subtract the least number from the greatest number:

14 − 0 = 14

The range is 14.


Question: A hardware store monitored how many hammers it sold in the past 6 days. What is the range of the numbers?

Answer: 3

Day | Number of hammers
Saturday | 4
Sunday | 2
Monday | 3
Tuesday | 1
Wednesday | 1
Thursday | 1

Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

4, 2, 3, 1, 1, 1

First, find the greatest number. The greatest number is 4.

Next, find the least number. The least number is 1.

Subtract the least number from the greatest number:

4 − 1 = 3

The range is 3.


Question: A stock broker followed the stock prices of a certain set of companies. How much did Jonas Incorporated's stock cost on Thursday?

Answer: 8

Company | Wednesday | Thursday
Houston Sporting Goods | $14 | $17
Computer Data Company | $18 | $5
Jonas Incorporated | $3 | $8

Houston Sporting Goods
Computer Data Company
Jonas Incorporated

Solution:
First, find the row for Jonas Incorporated. Then find the number in the Thursday column.

This number is $8.00. Jonas Incorporated's stock cost $8 on Thursday.


Question: The gym teacher wrote down how many tennis balls his students hit in half an hour. Which student hit the most tennis balls?

Choices:
- Richard
- Fred
- Tess
- Jordan

Answer: Fred

Name | Number of tennis balls
Richard | 87
Fred | 89
Tess | 86
Jordan | 82

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 89.

Now find the corresponding name. Fred corresponds to 89.


Question: Use the data to answer the question below. Is the following statement about our solar system true or false? Earth's volume is more than ten times as great as Mars's volume.

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 determine if this statement is true, calculate the value of ten times the volume of Mars.

1.63 x10^11 · 10^1
 = 1.63 x10^12 km^3

Then compare the result to the volume of Earth. The volume of Earth is 1.08 x10^12 km^3, which is less than 1.63 x10^12 km^3. So, Earth's volume is less than ten times as great as Mars's volume.


Question: Marvin purchased 4 pounds of granulated sugar. What was the total cost?

Answer: 25.32

powdered sugar | $2.17 per lb
granulated sugar | $6.33 per lb
dark brown sugar | $2.38 per lb
agave syrup | $6.37 per lb

powdered sugar
granulated sugar
dark brown sugar
agave syrup

$2.17 per lb
$6.33 per lb
$2.38 per lb
$6.37 per lb

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

$6.33 × 4 = $25.32

The total cost was $25.32.


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

Choices:
- Sunday
- Monday
- Tuesday
- Wednesday

Answer: Sunday

Day | Number of calls
Sunday | 434
Monday | 435
Tuesday | 459
Wednesday | 445

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 434.

Now find the corresponding day. Sunday corresponds to 434.


Question: How much would it cost to buy 4 kilograms of felt scraps, 1 kilogram of faux fur scraps, and 2 kilograms of canvas scraps?

Answer: 31

felt scraps | $5 per kilogram
silk scraps | $5 per kilogram
faux fur scraps | $5 per kilogram
canvas scraps | $3 per kilogram

felt scraps
silk scraps
faux fur scraps
canvas scraps

$5 per kilogram
$5 per kilogram
$5 per kilogram
$3 per kilogram

Solution:
Find the cost of the felt scraps. Multiply:

$5 × 4 = $20

Find the cost of the faux fur scraps. Multiply:

$5 × 1 = $5

Find the cost of the canvas scraps. Multiply:

$3 × 2 = $6

Now find the total cost by adding:

$20 + $5 + $6 = $31

It would cost $31.


Question: How much more does an emerald ring cost than a ruby necklace?

Answer: 769

opal ring | $2,930.00
emerald pendant | $4,907.00
emerald ring | $4,297.00
diamond bracelet | $4,940.00
opal pendant | $4,678.00
ruby necklace | $3,528.00

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

Solution:
Subtract the price of a ruby necklace from the price of an emerald ring.

$4,297.00 - $3,528.00 = $769.00

An emerald ring costs $769.00 more than a ruby necklace.


Question: A newspaper researched how many grocery stores there are in each town. What is the range of the numbers?

Answer: 6

Town | Number of stores
Columbia | 8
Riverside | 4
Mayfield | 5
Salem | 6
Ashland | 8
Watertown | 9
Greenwood | 3
Richmond | 8

Columbia Riverside Mayfield Salem Ashland Watertown Greenwood Richmond

Solution:
Read the numbers from the table.

8, 4, 5, 6, 8, 9, 3, 8

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

Next, find the least number. The least number is 3.

Subtract the least number from the greatest number:

9 − 3 = 6

The range is 6.


Question: For a math assignment, Seth researched the scores of the people competing on his favorite quiz show. How many people scored exactly 67 points?

Answer: 1

Solution:
For the number 67, the stem is 6, and the leaf is 7. Find the row where the stem is 6. 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 person scored exactly 67 points.


Question: How much money does Alvin need to buy a red ballpoint pen, a thin blue marker, and an orange marker?

Answer: 0.19

purple colored pencil | $0.07
thin blue marker | $0.09
black pen | $0.01
red ballpoint pen | $0.08
pink eraser | $0.07
orange marker | $0.02

purple colored pencil
thin blue marker
black pen
red ballpoint pen
pink eraser
orange marker

Solution:
Find the total cost of a red ballpoint pen, a thin blue marker, and an orange marker.

$0.08 + $0.09 + $0.02 = $0.19

Alvin needs $0.19.


Question: Mrs. Trevino told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2008 and 2009?

Answer: 7

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 rounds - 9 rounds}{2009 - 2008}
 = \frac{16 rounds - 9 rounds}{1 year}
 = \frac{7 rounds}{1 year}
 = 7 rounds per year
The rate of change between 2008 and 2009 was 7 rounds 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 4 is paired with multiple y-values, so the relation is not a function.


Question: Look at the following schedule. Betty got on the ferry at Windy Sands at 4.00 P.M. What time will she get to Foggy Port?

Choices:
- 5:00 P.M.
- 8:00 A.M.
- 5:15 P.M.
- 5:45 P.M.

Answer: 5:45 P.M.

Bay Harbor
Sandy Shores
Seagull Port
Cliff View
Green Harbor
Windy Sands
Foggy Port

Solution:
Find 4:00 P. M. in the row for Windy Sands. That column shows the schedule for the ferry that Betty is on.

Look down the column until you find the row for Foggy Port.

Betty will get to Foggy Port at 5:45 P. M.


Question: As part of a project for health class, Isaiah surveyed local delis about the kinds of sandwiches sold. How many vegetarian sandwiches did Express Sandwiches sell?

Answer: 8

Shop | Ham sandwiches | Vegetarian sandwiches
City Cafe | 15 | 14
Joe's Diner | 6 | 10
Express Sandwiches | 4 | 8
Sam's Sandwich Shop | 19 | 20

City Cafe
Joe's Diner
Express Sandwiches
Sam's Sandwich Shop

Solution:
First, find the row for Express Sandwiches. Then find the number in the Vegetarian sandwiches column.

This number is 8. Express Sandwiches sold 8 vegetarian sandwiches.


Question: How much money does Juan need to buy 6 blueberry cheesecakes?

Answer: 156

birthday cake | $29.00
blueberry cheesecake | $26.00
cherry pie | $12.00
chocolate cheesecake | $28.00
pear tart | $22.00
banana cream pie | $14.00

birthday cake
blueberry cheesecake
cherry pie
chocolate cheesecake
pear tart
banana cream pie

Solution:
Find the total cost of 6 blueberry cheesecakes by multiplying 6 times the price of a blueberry cheesecake.

$26.00 × 6 = $156.00

Juan needs $156.00.


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{8 - 1}{11 - 10}
 = \frac{7}{1}
 = 7
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{18 - 1}{12 - 10}
 = \frac{17}{2}
 = 8\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: Professor Maynard released the results of yesterday's pop quiz. What is the lowest score?

Answer: 41

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 4.

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

The lowest score has a stem of 4 and a leaf of 1. Write the stem first, then the leaf: 41.

The lowest score is 41 points.


Question: Alexandra graphed the amount of snow that fell in the last 5 days. What is the range of the numbers?

Answer: 2

Day | Snowfall (inches)
Sunday | 5
Monday | 4
Tuesday | 5
Wednesday | 5
Thursday | 3

Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

5, 4, 5, 5, 3

First, find the greatest number. The greatest number is 5.

Next, find the least number. The least number is 3.

Subtract the least number from the greatest number:

5 − 3 = 2

The range is 2.


Question: Look at the table. Then answer the question. At a price of $395, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $395, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.


Question: The Hampton Chamber of Commerce researched the number of employees working at local companies. What is the size of the largest company?

Answer: 84

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 8.

Now find the highest leaf in the last row. The highest leaf is 4.

The size of the largest company has a stem of 8 and a leaf of 4. Write the stem first, then the leaf: 84.

The size of the largest company is 84 employees.


Question: The Summerfield Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students in the class have exactly 2 sweatshirts?

Answer: 13

Number of sweatshirts | Frequency
0 | 16
1 | 4
2 | 13
3 | 1
4 | 2
5 | 19
6 | 0

Solution:
Find the row for 2 sweatshirts and read the frequency. The frequency is 13.

13 students have exactly2 sweatshirts.


Question: The Stafford Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding fewer than 2 times?

Answer: 8

Number of times | Frequency
0 | 7
1 | 1
2 | 11
3 | 2
4 | 20

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

Add:

7 + 1 = 8

8 guests went sledding fewer than 2 times.


Question: Some friends played a trivia game and recorded their scores. Who had the highest score?

Choices:
- Tamir
- Dillon
- Luna
- Wayne

Answer: Luna

Name | Score
Tamir | 81
Dillon | 82
Luna | 87
Wayne | 86

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 87.

Now find the corresponding name. Luna corresponds to 87.


Question: Colette, an employee at Lloyd's Convenience Store, looked at the sales of each of its soda products. How much did the convenience store make from Kickin' Coffee sales on Saturday?

Answer: 10

Beverage | Saturday | Sunday
Pearl's Soda | $13 | $7
Kickin' Coffee | $10 | $4
Fizzy Fun | $19 | $20

Solution:
First, find the row for Kickin' Coffee. Then find the number in the Saturday column.

This number is $10.00. The convenience store made $10 from Kickin' Coffee sales on Saturday.


Question: A movie theater manager counted the number of tickets sold each month. How many tickets did the theater sell in all in September and November?

Answer: 4,710

Month | Number of tickets
August | 1,930
September | 2,143
October | 4,819
November | 2,567

Solution:
Find the numbers in the table.

September: 2,143
November: 2,567

Now add: 2,143 + 2,567 = 4,710.

The theater sold 4,710 tickets in September and November.


Question: A waitress kept track of how many hours she worked each day. What is the range of the numbers?

Answer: 5

Day | Hours
Friday | 2
Saturday | 5
Sunday | 7
Monday | 6
Tuesday | 4
Wednesday | 4

Friday Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

2, 5, 7, 6, 4, 4

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: A fashion magazine poll asks how many winter hats each reader owns. How many readers are there in all?

Answer: 64

Number of winter hats | Frequency
0 | 10
1 | 16
2 | 13
3 | 4
4 | 20
5 | 1

Solution:
Add the frequencies for each row.

Add:

10 + 16 + 13 + 4 + 20 + 1 = 64

There are 64 readers in all.


Question: Look at Margarita's pay stub. Margarita lives in a state without state income tax. How much did Margarita make after taxes?

Answer: 542.04

Employee | Pay period |
Margarita Perez | September 9-15 |
Total earnings | | $670.00
Federal income tax | $76.70 |
Other taxes | $51.26 |
Total taxes | | ?
Pay after taxes | | ?

Margarita Perez
Total earnings
Federal income tax
Other taxes
Total taxes
Pay after taxes

Solution:
Find how much Margarita 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 and the other taxes.
The total earnings are $670.00. The total payroll tax is $127.96. Subtract to find the difference.
$670.00 - $127.96 = $542.04
Margarita made $542.04 after taxes.


Question: Martina is shopping for a new bicycle. She is most interested in color and type of tires. What is the probability that a randomly selected bike is red and has mountain bike tires? Simplify any fractions.

Answer: 7/19

 | Road bike tires | Mountain bike tires
Red | 4 | 7
Green | 5 | 3

Solution:
Let A be the event "the bike is red" and B be the event "the bike has mountain bike tires".
To find the probability that a bike is red and has mountain bike tires, first identify the sample space and the event.
The outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the bike is red and has mountain bike tires".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the bike is red and has mountain bike tires", so look at the table to see how many bikes are a red and have mountain bike tires.
The number of bikes that are a red and have mountain bike tires is 7.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of bikes.
4 + 5 + 7 + 3 = 19

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{7}{19}
The probability that a bike is red and has mountain bike tires is \frac{7}{19}.


Question: Liz wrote down how many spelling words she practiced each day. What is the median of the numbers?

Answer: 7

Day | Number of spelling words
Friday | 9
Saturday | 4
Sunday | 9
Monday | 7
Tuesday | 4
Wednesday | 7
Thursday | 6

Friday Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

9, 4, 9, 7, 4, 7, 6

First, arrange the numbers from least to greatest:

4, 4, 6, 7, 7, 9, 9

Now find the number in the middle.

4, 4, 6, 7, 7, 9, 9

The number in the middle is 7.

The median is 7.


Question: Avery went to the store and bought 1+1/4 kilograms of maple syrup. How much did she spend?

Answer: 1.25

maple syrup | $1 per kg
powdered sugar | $3 per kg
dark brown sugar | $2 per kg
light brown sugar | $1 per kg
granulated sugar | $2 per kg
agave syrup | $3 per kg

maple syrup
powdered sugar
dark brown sugar
light brown sugar
granulated sugar
agave syrup

$1 per kg
$3 per kg
$2 per kg
$1 per kg
$2 per kg
$3 per kg

Solution:
Find the cost of the maple syrup. Multiply the price per kilogram by the number of kilograms.
$1 × 1\frac{1}{4} = $1 × 1.25 = $1.25
She spent $1.25.


Question: How much money does Rosanne need to buy a cello and an oboe?

Answer: 1,943

Solution:
Add the price of a cello and the price of an oboe:

$999.00 + $944.00 = $1,943.00

Rosanne needs $1,943.00.


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: Look at the table. Then answer the question. At a price of $770, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $770, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.


Question: For a class assignment, Wyatt wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has a blue car and has red hair? Simplify any fractions.

Answer: 3/19

 | Red hair | Blonde hair
Red car | 7 | 3
Blue car | 3 | 6

Solution:
Let A be the event "the driver has a blue car" and B be the event "the driver has red hair".
To find the probability that a driver has a blue car and has red hair, first identify the sample space and the event.
The outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the driver has a blue car and has red hair".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the driver has a blue car and has red hair", so look at the table to see how many drivers have a blue car and have red hair.
The number of drivers who have a blue car and have red hair is 3.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of drivers.
7 + 3 + 3 + 6 = 19

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{3}{19}
The probability that a driver has a blue car and has red hair is \frac{3}{19}.


Question: Each necklace has 10 red beads. How many red beads are on 5 necklaces?

Answer: 50

Number of necklaces | Number of red beads
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 red beads on 5 necklaces.


Question: How much would it cost to buy 3+2/5 kilograms of marinara sauce?

Answer: 6.80

alfredo sauce | $2/kg
tomato sauce | $2/kg
beef sauce | $3/kg
chicken sauce | $2/kg
marinara sauce | $2/kg

alfredo sauce
tomato sauce
beef sauce
chicken sauce
marinara sauce

Solution:
Find the cost of the marinara sauce. Multiply the price per kilogram by the number of kilograms.
$2 × 3\frac{2}{5} = $2 × 3.4 = $6.80
It would cost $6.80.


Question: The board of commerce gave a survey to determine how many employees work at each company. Which company has the most employees?

Choices:
- Wakefield and Watson
- A to Z Books
- Township Real Estate
- Country Bakery

Answer: Township Real Estate

Company | Number of employees
Wakefield and Watson | 20
A to Z Books | 27
Township Real Estate | 28
Country Bakery | 24

Wakefield and Watson
A to Z Books
Township Real Estate
Country Bakery

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 28.

Now find the corresponding company. Township Real Estate corresponds to 28.


Question: Helen went to the store. She bought 2 kilograms of sawdust, 1 kilogram of dirt, and 3 kilograms of bark. How much did she spend?

Answer: 9.06

mulch | $1.10 per kilogram
sawdust | $1.37 per kilogram
dirt | $2.21 per kilogram
sand | $2.30 per kilogram
bark | $1.37 per kilogram

$1.10 per kilogram
$1.37 per kilogram
$2.21 per kilogram
$2.30 per kilogram
$1.37 per kilogram

Solution:
Find the cost of the sawdust. Multiply:

$1.37 × 2 = $2.74

Find the cost of the dirt. Multiply:

$2.21 × 1 = $2.21

Find the cost of the bark. Multiply:

$1.37 × 3 = $4.11

Now find the total cost by adding:

$2.74 + $2.21 + $4.11 = $9.06

She spent $9.06.


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{17 - 20}{8 - 7}
 = \frac{-3}{1}
 = -3
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{12 - 17}{9 - 8}
 = \frac{-5}{1}
 = -5
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: The school district compared how many math teachers each high school has. What is the range of the numbers?

Answer: 6

High school | Number of math teachers
Central High | 4
Lincoln High | 5
River High | 3
Thompson High | 9
Moore High | 5

Central High
Lincoln High
River High
Thompson High
Moore High

Solution:
Read the numbers from the table.

4, 5, 3, 9, 5

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

Next, find the least number. The least number is 3.

Subtract the least number from the greatest number:

9 − 3 = 6

The range is 6.


Question: A food industry researcher compiled the revenues of several pizzerias. How much more did Dan's Deep Dish make from pizzas than Taste of New York?

Answer: 12

Restaurant | Supreme pizzas | Cheese pizzas
Taste of New York | $9 | $10
New York Slice | $20 | $16
Dan's Deep Dish | $12 | $19
The Big Cheese | $7 | $8

Taste of New York
New York Slice
Dan's Deep Dish
The Big Cheese

Solution:
Add the numbers in the Dan's Deep Dish row. Then, add the numbers in the Taste of New York row.

Dan's Deep Dish: $12.00 + $19.00 = $31.00
Taste of New York: $9.00 + $10.00 = $19.00

Now subtract:

$31.00 − $19.00 = $12.00

Dan's Deep Dish made $12 more from pizzas than Taste of New York.


Question: Aiden went to the store and bought 2+1/2 pounds of marmalade. How much did he spend?

Answer: 10

raspberry jam | $4/lb
blueberry jam | $4/lb
blackberry jam | $8/lb
marmalade | $4/lb

raspberry jam
blueberry jam
blackberry jam
marmalade

Solution:
Find the cost of the marmalade. Multiply the price per pound by the number of pounds.
$4 × 2\frac{1}{2} = $4 × 2.5 = $10
He spent $10.


Question: A philanthropic organization compared the amounts of money that its members donated to certain causes. How much more money did Eve donate to clean water than Eli?

Answer: 10

Person | Animal rights | Clean water
Eve | $4 | $15
Eli | $12 | $5
Bridgette | $9 | $11
Kamal | $18 | $11
Janelle | $13 | $13

Solution:
Find the Clean water column. Find the numbers in this column for Eve and Eli.

Eve: $15.00
Eli: $5.00

Now subtract:

$15.00 − $5.00 = $10.00

Eve donated $10 more to clean water than Eli.


Question: What is the total cost for 3 pounds of bleached white flour and 2 pounds of peanut flour?

Answer: 22

peanut flour | $2 per pound
soy flour | $2 per pound
bleached white flour | $6 per pound
hemp flour | $5 per pound
unbleached white flour | $2 per pound

peanut flour
soy flour
bleached white flour
hemp flour
unbleached white flour

$2 per pound
$2 per pound
$6 per pound
$5 per pound
$2 per pound

Solution:
Find the cost of the bleached white flour. Multiply:

$6 × 3 = $18

Find the cost of the peanut flour. Multiply:

$2 × 2 = $4

Now find the total cost by adding:

$18 + $4 = $22

The total cost is $22.


Question: Oliver, 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 July and August?

Answer: 3

Average waiting time at a doctor's office

Month | Waiting time (minutes)
June | 35
July | 36
August | 39
September | 40
October | 35

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{39 minutes - 36 minutes}{1 month}
 = \frac{3 minutes}{1 month}
 = 3 minutes per month
The rate of change between July and August was 3 minutes per 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{13 - 16}{1 - 0}
 = \frac{-3}{1}
 = -3
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{10 - 13}{2 - 1}
 = \frac{-3}{1}
 = -3
The two rates of change are the same.
3.
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: An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Algeria receive in 1975 than in 1985?

Answer: 3

Solution:
Find the Algeria row. Find the numbers in this row for 1975 and 1985.

1975: $11.00
1985: $8.00

Now subtract:

$11.00 − $8.00 = $3.00

Per capita, Algeria received $3 more in aid in 1975 than in 1985.


Question: Shannon graphed the daily low temperature for 5 days. What is the range of the numbers?

Answer: 4

Day | Temperature (Â°C)
Wednesday | 19
Thursday | 20
Friday | 18
Saturday | 20
Sunday | 16

Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

19, 20, 18, 20, 16

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

Next, find the least number. The least number is 16.

Subtract the least number from the greatest number:

20 − 16 = 4

The range is 4.


Question: For an economics project, Marcy determined the cost of ferry rides for bicycles and cars. Which charges more for a bicycle, the Ocracoke ferry or the Seattle-Bremerton ferry?

Choices:
- Ocracoke
- Seattle-Bremerton

Answer: Seattle-Bremerton

Ferry | Car | Bicycle
Seattle-Bremerton | $12 | $8
Ocracoke | $15 | $3
Southport-Fort Fisher | $5 | $2

Seattle-Bremerton
Ocracoke
Southport-Fort Fisher

Solution:
Find the Bicycle column. Compare the numbers in this column for Ocracoke and Seattle-Bremerton.

$8.00 is more than $3.00. The Seattle-Bremerton ferry charges more for a bicycle.


Question: Each restaurant table has 2 salt shakers. How many salt shakers are on 3 restaurant tables?

Answer: 6

Number of restaurant tables | Number of salt shakers
1 | 2
2 | 4
3 | ?

Solution: Count by twos. Use the chart: there are 6 salt shakers on 3 restaurant tables.


Question: Professor Mitchell released the results of yesterday's pop quiz. How many students scored exactly 29 points?

Answer: 3

Solution:
For the number 29, the stem is 2, and the leaf is 9. Find the row where the stem is 2. In that row, count all the leaves equal to 9.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly29 points.


Question: A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 40 broken crayons?

Answer: 5

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

You counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 boxes had at least 40 broken crayons.


Question: Tim has $1.40. How much money will Tim have left if he buys a can of tuna fish and a can of pears?

Answer: 0.04

can of fruit cocktail | $0.80
can of pears | $0.66
can of tuna fish | $0.70
can of peaches | $0.97
jar of olives | $0.65

can of fruit cocktail
can of pears
can of tuna fish
can of peaches
jar of olives

Solution:
Find the total cost of a can of tuna fish and a can of pears.

$0.70 + $0.66 = $1.36

Now subtract the total cost from the starting amount.

$1.40 - $1.36 = $0.04

Tim will have $0.04 left.


Question: Billy is shopping for a new bicycle. He is most interested in color and type of tires. What is the probability that a randomly selected bike is green and has road bike tires? Simplify any fractions.

Answer: 2/11

 | Road bike tires | Mountain bike tires
Red | 5 | 2
Green | 2 | 2

Solution:
Let A be the event "the bike is green" and B be the event "the bike has road bike tires".
To find the probability that a bike is green and has road bike tires, first identify the sample space and the event.
The outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the bike is green and has road bike tires".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the bike is green and has road bike tires", so look at the table to see how many bikes are a green and have road bike tires.
The number of bikes that are a green and have road bike tires is 2.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of bikes.
5 + 2 + 2 + 2 = 11

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{2}{11}
The probability that a bike is green and has road bike tires is \frac{2}{11}.


Question: Maria graphed the daily low temperature for 4 days. Which day had the lowest temperature?

Choices:
- Monday
- Tuesday
- Wednesday
- Thursday

Answer: Wednesday

Day | Temperature (Â°C)
Monday | 15
Tuesday | 18
Wednesday | 12
Thursday | 16

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 day. Wednesday corresponds to 12.


Question: Valeria buys 3.2 pounds of African rice. What is the total cost?

Answer: 12.80

African rice | $4/lb
basmati rice | $5/lb
white rice | $7/lb
brown rice | $8/lb
sticky rice | $5/lb

African rice
basmati rice
white rice
brown rice
sticky rice

Solution:
Find the cost of the African rice. Multiply the price per pound by the number of pounds.
$4 × 3.2 = $12.80
The total cost is $12.80.


Question: Manny's coach wrote down how many kilometers he had run over the past 5 days. What is the range of the numbers?

Answer: 3

Day | Kilometers
Saturday | 5
Sunday | 3
Monday | 3
Tuesday | 2
Wednesday | 5

Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

5, 3, 3, 2, 5

First, find the greatest number. The greatest number is 5.

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

Subtract the least number from the greatest number:

5 − 2 = 3

The range is 3.


Question: How much more does a red kazoo cost than a green marble?

Answer: 0.01

green marble | $0.07
green bouncy ball | $0.05
colorful pinwheel | $0.07
red kazoo | $0.08

green marble
green bouncy ball
colorful pinwheel
red kazoo

Solution:
Subtract the price of a green marble from the price of a red kazoo.

$0.08 - $0.07 = $0.01

A red kazoo costs $0.01 more than a green marble.


Question: Some friends compared the sizes of their sticker collections. If you combine their sticker collections, how many stickers do Lisa and Sandeep have?

Answer: 8,322

Name | Number of stickers
Lisa | 2,887
Wanda | 2,123
Sandeep | 5,435
Elizabeth | 2,105
Dakota | 2,387

Solution:
Find the numbers in the table.

Lisa: 2,887
Sandeep: 5,435

Now add: 2,887 + 5,435 = 8,322.

Lisa and Sandeep have 8,322 stickers.


Question: An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between July and August?

Answer: -7

Month | Waiting time (minutes)
April | 35
May | 34
June | 25
July | 16
August | 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{9 minutes - 16 minutes}{1 month}
 = \frac{-7 minutes}{1 month}
 = -7 minutes per month
The rate of change between July and August was - 7 minutes per month.


Question: An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed more cheese per capita in 1996, Germany or Austria?

Choices:
- Germany
- Austria

Answer: Germany

Country | 1996 | 2006
Germany | 12 | 20
Austria | 10 | 17
Argentina | 11 | 11
Great Britain | 9 | 10
Canada | 10 | 11

Country
Germany
Austria
Argentina
Great Britain
Canada

Solution:
Find the 1996 column. Compare the numbers in this column for Germany and Austria.

12 is more than 10. Germany consumed more cheese per capita in 1996.


Question: A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists made exactly 1 mask?

Answer: 6

Solution:
Find the row for 1 mask and read the frequency. The frequency is 6.

6 artists made exactly1 mask.


Question: An architect recorded the number of different types of buildings and the materials from which they were made. How many stone buildings are there?

Answer: 20

Material | Banks | Restaurants
Stone | 2 | 18
Brick | 17 | 18
Concrete | 13 | 6

Solution:
Find the row for stone. Add the numbers in the Stone row.

Add:

2 + 18 = 20

There are 20 stone buildings.


Question: Some friends played a trivia game and recorded their scores. What is the mean of the numbers?

Answer: 7

Name | Score
Tina | 10
Samuel | 6
Lorenzo | 3
Erin | 6
Hanson | 6
Grayson | 9
Fred | 10
Janice | 6

Tina Samuel Lorenzo Erin Hanson Grayson Fred Janice

Solution:
Read the numbers from the table.

10, 6, 3, 6, 6, 9, 10, 6

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

10 + 6 + 3 + 6 + 6 + 9 + 10 + 6 = 56

Now divide the sum by the number of numbers:

56 ÷ 8 = 7

The mean is 7.


Question: At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had at least 27 butterscotch candies but fewer than 61 butterscotch candies?

Answer: 11

Solution:
Find the row with stem 2. Count all the leaves greater than or equal to 7.

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

In the row with stem 6, count all the leaves less than 1.

You counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 bags had at least 27 butterscotch candies but fewer than 61 butterscotch candies.


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: 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{6 - 10}{2 - 1}
 = \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{2 - 6}{3 - 2}
 = \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: How much more does a guitar cost than a clarinet?

Answer: 90

flute | $472
clarinet | $494
banjo | $343
trombone | $204
drum set | $208
guitar | $584

flute
clarinet
banjo
trombone
drum set
guitar

Solution:
Subtract the price of a clarinet from the price of a guitar.

$584 - $494 = $90

A guitar costs $90 more than a clarinet.


Question: After a census, 3 nearby towns compared their populations. How many more people live in Flat Plains than in Hilly Town?

Answer: 406

Town | Population
Ridge Crest | 818
Hilly Town | 149
Flat Plains | 555

Solution:
Find the numbers in the table.

Flat Plains: 555
Hilly Town: 149

Now subtract: 555 - 149 = 406.

406 more people live in Flat Plains.


Question: A farm equipment company kept a record of the number of tractors made each month. What is the mean of the numbers?

Answer: 21

Month | Number of tractors
July | 25
August | 31
September | 21
October | 18
November | 21
December | 13
January | 18

July August September October November December January

Solution:
Read the numbers from the table.

25, 31, 21, 18, 21, 13, 18

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

25 + 31 + 21 + 18 + 21 + 13 + 18 = 147

Now divide the sum by the number of numbers:

147 ÷ 7 = 21

The mean is 21.


Question: Look at the following schedule. How long does it take to get from Washington Avenue to View Avenue?

Choices:
- 2 hours
- 2 hours and 30 minutes
- 30 minutes
- 2 hours and 15 minutes

Answer: 2 hours and 30 minutes

College Boulevard
Cedar Street
Washington Avenue
Green Road
Locust Avenue
View Avenue
Maple Boulevard
Ridge Street

Solution:
Read the times in the first column for Washington Avenue and View Avenue.

Find the elapsed time between 11:00 A. M. and 1:30 P. M. The elapsed time is 2 hours and 30 minutes.

No matter which column of times you look at, the elapsed time is always 2 hours and 30 minutes.


Question: While doing a project for P. E. class, Ruth researched the number of athletes competing in an international sporting event. How many countries have fewer than 30 athletes?

Answer: 3

Solution:
Count all the leaves in the rows with stems 1 and 2.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 countries have fewer than 30 athletes.


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: A stock broker followed the stock prices of a certain set of companies. Which company's stock cost less on Wednesday, Computer Data Company or Thompson Corporation?

Choices:
- Computer Data Company
- Thompson Corporation

Answer: Thompson Corporation

Company | Tuesday | Wednesday
Computer Data Company | $20 | $10
Jonas Incorporated | $18 | $3
Watson and Partners | $6 | $11
Thompson Corporation | $5 | $4
White and Company | $8 | $10

Computer Data Company
Jonas Incorporated
Watson and Partners
Thompson Corporation
White and Company

Solution:
Find the Wednesday column. Compare the numbers in this column for Computer Data Company and Thompson Corporation.

$4.00 is less than $10.00. On Wednesday, Thompson Corporation's stock cost less.


Question: A waitress kept track of how many hours she worked each day. What is the mode of the numbers?

Answer: 10

Day | Hours
Thursday | 9
Friday | 10
Saturday | 6
Sunday | 9
Monday | 10
Tuesday | 10
Wednesday | 6

Thursday Friday Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

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

First, arrange the numbers from least to greatest:

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

Now count how many times each number appears.

6 appears 2 times.
9 appears 2 times.
10 appears 3 times.

The number that appears most often is 10.

The mode is 10.


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 at least 3 times last month?

Answer: 44

Number of trips | Frequency
1 | 1
2 | 12
3 | 6
4 | 9
5 | 13
6 | 16

Solution:
Find the rows for 3, 4, 5, and 6 times last month. Add the frequencies for these rows.

Add:

6 + 9 + 13 + 16 = 44

44 people went to the library at least 3 times last month.


Question: Tucker recalled how many goals he had made in soccer practice each day. What is the mode of the numbers?

Answer: 8

Day | Number of goals
Monday | 8
Tuesday | 1
Wednesday | 8
Thursday | 8
Friday | 1

Solution:
Read the numbers from the table.

8, 1, 8, 8, 1

First, arrange the numbers from least to greatest:

1, 1, 8, 8, 8

Now count how many times each number appears.

1 appears 2 times.
8 appears 3 times.

The number that appears most often is 8.

The mode is 8.


Question: A pizza chef recalled how many pizzas he had made during the past 6 days. What is the mean of the numbers?

Answer: 4

Day | Number of pizzas
Sunday | 4
Monday | 3
Tuesday | 8
Wednesday | 5
Thursday | 4
Friday | 0

Sunday Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

4, 3, 8, 5, 4, 0

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

4 + 3 + 8 + 5 + 4 + 0 = 24

Now divide the sum by the number of numbers:

24 ÷ 6 = 4

The mean is 4.


Question: Nick has $0.11. How much money will Nick have left if he buys a piece of gum and a piece of licorice?

Answer: 0.04

piece of licorice | $0.04
piece of gum | $0.03
gum drop | $0.07
cinnamon candy | $0.01
sour apple candy | $0.08

piece of licorice
piece of gum
gum drop
cinnamon candy
sour apple candy

Solution:
Find the total cost of a piece of gum and a piece of licorice.

$0.03 + $0.04 = $0.07

Now subtract the total cost from the starting amount.

$0.11 - $0.07 = $0.04

Nick will have $0.04 left.


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

Choices:
- 1:35 P.M.
- 8:55 A.M.
- 12:15 P.M.
- 10:30 A.M.

Answer: 8:55 A.M.

Event | Begin | End
zebra feeding | 8:55 A.M. | 9:55 A.M.
penguin feeding | 10:30 A.M. | 11:30 A.M.
tiger lecture | 12:15 P.M. | 1:00 P.M.
giraffe feeding | 1:00 P.M. | 1:55 P.M.
panda lecture | 1:35 P.M. | 2:55 P.M.

zebra feeding
penguin feeding
tiger lecture
giraffe feeding
panda lecture

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

zebra feeding: 8:55 A. M.


Question: Logan recalled how many minutes he had spent at theater rehearsal in the past 4 days. On which day did Logan rehearse the most?

Choices:
- Thursday
- Friday
- Saturday
- Sunday

Answer: Thursday

Day | Minutes
Thursday | 172
Friday | 127
Saturday | 117
Sunday | 122

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 172.

Now find the corresponding day. Thursday corresponds to 172.


Question: The town council reported on how many stop signs there are on each street. What is the mean of the numbers?

Answer: 4

Street | Number of stop signs
Watson Street | 6
Marshall Street | 9
Irving Street | 2
Walker Street | 3
Spring Street | 3
Peabody Street | 4
Jackson Street | 4
Smith Street | 1

Watson Street
Marshall Street
Irving Street
Walker Street
Spring Street
Peabody Street
Jackson Street
Smith Street

Solution:
Read the numbers from the table.

6, 9, 2, 3, 3, 4, 4, 1

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

6 + 9 + 2 + 3 + 3 + 4 + 4 + 1 = 32

Now divide the sum by the number of numbers:

32 ÷ 8 = 4

The mean is 4.


Question: An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between June and July?

Answer: -7

Month | Waiting time (minutes)
March | 29
April | 33
May | 33
June | 36
July | 29

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{29 minutes - 36 minutes}{1 month}
 = \frac{-7 minutes}{1 month}
 = -7 minutes per month
The rate of change between June and July was - 7 minutes per month.


Question: Each twig has 10 snails. How many snails are on 3 twigs?

Answer: 30

Number of twigs | Number of snails
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 snails on 3 twigs.


Question: How much money does Clayton need to buy 2 scrapbooks?

Answer: 30

encyclopedia | $47.00
scrapbook | $15.00
dictionary | $10.00
math book | $11.00

encyclopedia
scrapbook
dictionary
math book

Solution:
Find the total cost of 2 scrapbooks by multiplying 2 times the price of a scrapbook.

$15.00 × 2 = $30.00

Clayton needs $30.00.


Question: Cara counted the number of peanuts in each bag of trail mix. How many bags had at least 40 peanuts but fewer than 70 peanuts?

Answer: 13

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

You counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 bags had at least 40 peanuts but fewer than 70 peanuts.


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: Francesca found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 10 roller coasters but fewer than 40 roller coasters?

Answer: 5

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

You counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 amusement parks have at least 10 roller coasters but fewer than 40 roller coasters.


Question: Students at Lanberry Middle School wrote and submitted poems for a district-wide writing contest. How many students wrote at least 2 poems?

Answer: 56

Poems written | Frequency
1 | 2
2 | 19
3 | 14
4 | 17
5 | 6

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

Add:

19 + 14 + 17 + 6 = 56

56 students wrote at least 2 poems.


Question: Whitney's class recorded how many cans of food each student collected for their canned food drive. Who collected the most cans?

Choices:
- Whitney
- Sofia
- Vivian
- Irma

Answer: Irma

Name | Number of cans of food
Whitney | 651
Sofia | 616
Vivian | 615
Irma | 665

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 665.

Now find the corresponding name. Irma corresponds to 665.


Question: Nina has $1.00. Does she have enough to buy a beach postcard and a souvenir cup?

Choices:
- yes
- no

Answer: yes

palm tree magnet | $0.43
pink flamingo pen | $0.56
pin with a picture of the beach | $0.97
beach postcard | $0.55
souvenir cup | $0.37
picture of a shark | $0.27

palm tree magnet
pink flamingo pen
pin with a picture of the beach
beach postcard
souvenir cup
picture of a shark

Solution:
Add the price of a beach postcard and the price of a souvenir cup:

$0.55 + $0.37 = $0.92

$0.92 is less than $1.00. Nina does have enough money.


Question: Kimi records the number of pairs of sandals owned by each of her classmates. How many students are there in all?

Answer: 41

Number of pairs of sandals | Frequency
0 | 1
1 | 19
2 | 18
3 | 3

Solution:
Add the frequencies for each row.

Add:

1 + 19 + 18 + 3 = 41

There are 41 students in all.


Question: How much money does Ruth need to buy a popcorn cart and an ice cream truck?

Answer: 17,928

ice cream truck | $9,863.00
popcorn cart | $8,065.00
hot dog stand | $8,998.00
popsicle stand | $7,147.00

ice cream truck
popcorn cart
hot dog stand
popsicle stand

Solution:
Add the price of a popcorn cart and the price of an ice cream truck:

$8,065.00 + $9,863.00 = $17,928.00

Ruth needs $17,928.00.


Question: Look at the table. Then answer the question. At a price of $1,075, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $1,075, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.


Question: The Manchester Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had less than 76 rotten tomatoes?

Answer: 10

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

In the row with stem 7, count all the leaves less than 6.

You counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 barrels had less than 76 rotten tomatoes.


Question: As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 17 pounds but less than 56 pounds?

Answer: 2

Solution:
Find the row with stem 1. Count all the leaves greater than or equal to 7.

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 6.

You counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 children weighed at least 17 pounds but less than 56 pounds.


Question: To figure out how many vacation days she had left to use, Deb 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 2006 and 2007?

Answer: -2

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 vacation days - 27 vacation days}{2007 - 2006}
 = \frac{25 vacation days - 27 vacation days}{1 year}
 = \frac{-2 vacation days}{1 year}
 = -2 vacation days per year
The rate of change between 2006 and 2007 was - 2 vacation days per year.


Question: A publisher invited authors to write stories for a special anthology. How many authors wrote more than 5 stories?

Answer: 11

Stories written | Frequency
1 | 3
2 | 9
3 | 13
4 | 0
5 | 4
6 | 11

Solution:
Find the row for 6 stories and read the frequency. The frequency is 11.

11 authors wrote more than 5 stories.


Question: A toy store employee counted the number of toys in each bin in the sale section. How many bins had at least 49 toys but fewer than 58 toys?

Answer: 4

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 9.

In the row with stem 5, count all the leaves less than 8.

You counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 bins had at least 49 toys but fewer than 58 toys.


Question: Heather counted the number of cookies eaten by each customer at last week's bake sale. How many customers ate at least 2 cookies last week?

Answer: 54

Solution:
Find the rows for 2, 3, 4, 5, and 6 cookies last week. Add the frequencies for these rows.

Add:

18 + 1 + 19 + 6 + 10 = 54

54 customers ate at least 2 cookies last week.


Question: The parks department compared how many soccer fields there are at each park. What is the mean of the numbers?

Answer: 7

Park | Number of soccer fields
Middle Park | 6
Moon Park | 6
Windy Hill Park | 10
Juniper Park | 6
Lighthouse Park | 7
Madison Park | 6
Elmhurst Park | 7
Crane Park | 8

Middle Park
Moon Park
Windy Hill Park
Juniper Park
Lighthouse Park
Madison Park
Elmhurst Park
Crane Park

Solution:
Read the numbers from the table.

6, 6, 10, 6, 7, 6, 7, 8

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

6 + 6 + 10 + 6 + 7 + 6 + 7 + 8 = 56

Now divide the sum by the number of numbers:

56 ÷ 8 = 7

The mean is 7.


Question: A fashion magazine poll asks how many winter hats each reader owns. How many readers are there in all?

Answer: 37

Number of winter hats | Frequency
0 | 2
1 | 9
2 | 3
3 | 10
4 | 13

Solution:
Add the frequencies for each row.

Add:

2 + 9 + 3 + 10 + 13 = 37

There are 37 readers in all.


Question: Steven jotted down how many baskets he made during basketball practice each day. What is the mode of the numbers?

Answer: 8

Day | Number of baskets
Saturday | 8
Sunday | 8
Monday | 8
Tuesday | 9
Wednesday | 9

Solution:
Read the numbers from the table.

8, 8, 8, 9, 9

First, arrange the numbers from least to greatest:

8, 8, 8, 9, 9

Now count how many times each number appears.

8 appears 3 times.
9 appears 2 times.

The number that appears most often is 8.

The mode is 8.