Question: Look at the following schedule. Which stop does the bus depart from at 10.55 A.M.?

Choices:
- football stadium
- downtown
- park
- airport

Answer: park

Location | Arrive | Depart
pizza place | 8:30 A.M. | 8:35 A.M.
downtown | 9:05 A.M. | 9:20 A.M.
amusement park | 10:10 A.M. | 10:15 A.M.
hotel | 10:35 A.M. | 10:40 A.M.
park | 10:45 A.M. | 10:55 A.M.
airport | 11:10 A.M. | 11:25 A.M.
baseball stadium | 11:40 A.M. | 11:50 A.M.
Main Street | 12:25 P.M. | 12:40 P.M.
football stadium | 1:00 P.M. | 1:15 P.M.

pizza place
downtown
amusement park
hotel
park
airport
baseball stadium
Main Street
football stadium

Solution: Find 10:55 A. M. on the schedule. The bus departs from the park at 10:55 A. M.


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

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{8 - 9}{1 - 0}
 = \frac{-1}{1}
 = -1
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{7 - 8}{2 - 1}
 = \frac{-1}{1}
 = -1
The two rates of change are the same.
1.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: The manager of a party supply store researched how many balloons it sold in the past 6 days. What is the mode of the numbers?

Answer: 5

Day | Number of balloons
Saturday | 4
Sunday | 3
Monday | 4
Tuesday | 5
Wednesday | 5
Thursday | 5

Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

4, 3, 4, 5, 5, 5

First, arrange the numbers from least to greatest:

3, 4, 4, 5, 5, 5

Now count how many times each number appears.

3 appears 1 time.
4 appears 2 times.
5 appears 3 times.

The number that appears most often is 5.

The mode is 5.


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 contains yellowtail and is labeled not spicy? Simplify any fractions.

Answer: 7/17

 | Not spicy | A little spicy
Yellowtail | 7 | 3
Salmon | 2 | 5

Solution:
Let A be the event "the sushi roll contains yellowtail" and B be the event "the sushi roll is labeled not spicy".
To find the probability that a sushi roll contains yellowtail and is labeled not spicy, 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 contains yellowtail and is labeled not spicy".
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 contains yellowtail and is labeled not spicy", so look at the table to see how many sushi rolls contain yellowtail and are labeled not spicy.
The number of sushi rolls that contain yellowtail and are labeled not spicy is 7.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of sushi rolls.
7 + 2 + 3 + 5 = 17

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}{17}
The probability that a sushi roll contains yellowtail and is labeled not spicy is \frac{7}{17}.


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 - 3}{17 - 16}
 = \frac{8}{1}
 = 8
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{19 - 11}{18 - 17}
 = \frac{8}{1}
 = 8
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 8.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: Some candy companies compared how many pieces of candy they have produced. Together, how many pieces of candy have Tasty Treats and Goodman Candies produced?

Answer: 647

Company | Number of pieces of candy
Tasty Treats | 458
Goodman Candies | 189
Sweet Things | 191
Chocolate and More | 356

Tasty Treats
Goodman Candies
Sweet Things
Chocolate and More

Solution:
Find the numbers in the table.

Tasty Treats: 458
Goodman Candies: 189

Now add: 458 + 189 = 647.

Tasty Treats and Goodman Candies have produced 647 pieces of candy.


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

Choices:
- yes
- no

Answer: yes

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

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


Question: For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. How many students spun 4?

Answer: 4

Solution:
Find the row for 4 and read the frequency. The frequency is 4.

4 students spun 4.


Question: Look at the following schedule. Which game ends at 3.10 P.M.?

Choices:
- Sharks versus Cougars game
- Wolves versus Jaguars game
- Lightning versus Ducks game
- Thunder versus Blue Jays game

Answer: Thunder versus Blue Jays game

Game | Begin | End
Cardinals versus Cobras | 10:15 A.M. | 12:00 P.M.
Lions versus Eagles | 11:35 A.M. | 1:10 P.M.
Lightning versus Ducks | 12:30 P.M. | 1:45 P.M.
Fire versus Cyclones | 12:55 P.M. | 2:00 P.M.
Thunder versus Blue Jays | 1:15 P.M. | 3:10 P.M.
Wolves versus Jaguars | 2:45 P.M. | 4:30 P.M.
Vipers versus Crocodiles | 4:15 P.M. | 5:30 P.M.
Sharks versus Cougars | 5:25 P.M. | 7:10 P.M.

Cardinals versus Cobras
Lions versus Eagles
Lightning versus Ducks
Fire versus Cyclones
Thunder versus Blue Jays
Wolves versus Jaguars
Vipers versus Crocodiles
Sharks versus Cougars

Solution: Find 3:10 P. M. on the schedule. The Thunder versus Blue Jays game ends at 3:10 P. M.


Question: How much money does Isaac need to buy a dry erase marker and an eraser?

Answer: 1.06

box of paper clips | $0.90
eraser | $0.41
pencil sharpener | $0.31
dry erase marker | $0.65

box of paper clips
eraser
pencil sharpener
dry erase marker

Solution:
Add the price of a dry erase marker and the price of an eraser:

$0.65 + $0.41 = $1.06

Isaac needs $1.06.


Question: Pete counted the number of pieces of pepperoni on each pizza he made. How many pizzas had exactly 39 pieces of pepperoni?

Answer: 2

Solution:
For the number 39, the stem is 3, and the leaf is 9. Find the row where the stem is 3. In that row, count all the leaves equal to 9.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 pizzas had exactly 39 pieces of pepperoni.


Question: Each bracelet has 5 charms. How many charms are on 6 bracelets?

Answer: 30

Number of bracelets | Number of charms
1 | 5
2 | 10
3 | 15
4 | 20
5 | 25
6 | ?

Solution: Count by fives. Use the chart: there are 30 charms on 6 bracelets.


Question: The parks department compared how many basketball hoops there are at each park. What is the mode of the numbers?

Answer: 10

Park | Number of basketball hoops
Pinehurst Park | 9
Westfield Park | 11
Linden Park | 11
Crestview Park | 9
Otter Park | 10
Mooreland Park | 10
Kelly Park | 10

Pinehurst Park
Westfield Park
Linden Park
Crestview Park
Otter Park
Mooreland Park
Kelly Park

Solution:
Read the numbers from the table.

9, 11, 11, 9, 10, 10, 10

First, arrange the numbers from least to greatest:

9, 9, 10, 10, 10, 11, 11

Now count how many times each number appears.

9 appears 2 times.
10 appears 3 times.
11 appears 2 times.

The number that appears most often is 10.

The mode is 10.


Question: Jenny graphed the daily high temperature for 4 days. Which day had the highest temperature?

Choices:
- Tuesday
- Wednesday
- Thursday
- Friday

Answer: Tuesday

Day | Temperature (Â°C)
Tuesday | 29
Wednesday | 26
Thursday | 23
Friday | 25

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.

Now find the corresponding day. Tuesday corresponds to 29.


Question: Look at the following schedule. Which stop does the bus depart from at 1.15 P.M.?

Choices:
- science museum
- school
- kickball field
- library

Answer: library

Location | Time
the school | 10:25 A.M.
the doctor's office | 10:50 A.M.
the post office | 11:15 A.M.
the playground | 11:40 A.M.
the kickball field | 11:55 A.M.
the mall | 12:30 P.M.
the science museum | 12:55 P.M.
the library | 1:15 P.M.

the school
the doctor's office
the post office
the playground
the kickball field
the mall
the science museum
the library

Solution: Find 1:15 P. M. on the schedule. The bus departs from the library at 1:15 P. M.


Question: The Oakdale Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children made at least 2 finger puppets?

Answer: 30

Finger puppets made | Frequency
0 | 16
1 | 12
2 | 20
3 | 10

Solution:
Find the rows for 2 and 3 finger puppets. Add the frequencies for these rows.

Add:

20 + 10 = 30

30 children made at least 2 finger puppets.


Question: Eddie has $144.68. How much money will Eddie have left if he buys an alarm clock and a cell phone?

Answer: 83.35

alarm clock | $25.92
cell phone | $35.41
computer mouse | $16.03
calculator | $34.65

alarm clock
cell phone
computer mouse
calculator

Solution:
Find the total cost of an alarm clock and a cell phone.

$25.92 + $35.41 = $61.33

Now subtract the total cost from the starting amount.

$144.68 - $61.33 = $83.35

Eddie will have $83.35 left.


Question: How much money does Lisa need to buy a map of the United States and an airplane calendar?

Answer: 14.40

map of the United States | $5.96
airplane calendar | $8.44
newspaper | $1.31
dictionary | $8.08

map of the United States
airplane calendar
newspaper
dictionary

Solution:
Add the price of a map of the United States and the price of an airplane calendar:

$5.96 + $8.44 = $14.40

Lisa needs $14.40.


Question: A biologist recorded the number of birds at lakes in Clarksville. Which lake has the fewest birds?

Choices:
- Mirror Lake
- Long Lake
- Round Lake
- Blue Lake

Answer: Long Lake

Lake | Ducks | Swans
Long Lake | 5 | 17
Mirror Lake | 9 | 17
Round Lake | 18 | 13
Blue Lake | 14 | 13

Long Lake
Mirror Lake
Round Lake
Blue Lake

Solution:
Add the numbers in each row.

Long Lake: 5 + 17 = 22
Mirror Lake: 9 + 17 = 26
Round Lake: 18 + 13 = 31
Blue Lake: 14 + 13 = 27

The least sum is 22, which is the total for the Long Lake row. Long Lake has the fewest birds.


Question: Each table has 5 candles. How many candles are on 5 tables?

Answer: 25

Number of tables | Number of candles
1 | 5
2 | 10
3 | 15
4 | 20
5 | ?

Solution: Count by fives. Use the chart: there are 25 candles on 5 tables.


Question: Madelyn kept a driving log to see how many miles she drove each day. What is the range of the numbers?

Answer: 7

Day | Number of miles
Monday | 10
Tuesday | 3
Wednesday | 4
Thursday | 9
Friday | 6

Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

10, 3, 4, 9, 6

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

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

Subtract the least number from the greatest number:

10 − 3 = 7

The range is 7.


Question: If Kendra buys 1+1/2 kilograms of double chocolate cookie dough, how much will she spend?

Answer: 3

chocolate chip cookie dough | $3/kg
oatmeal raisin cookie dough | $2/kg
snickerdoodle cookie dough | $2/kg
double chocolate cookie dough | $2/kg
gingersnap cookie dough | $3/kg

chocolate chip cookie dough
oatmeal raisin cookie dough
snickerdoodle cookie dough
double chocolate cookie dough
gingersnap cookie dough

Solution:
Find the cost of the double chocolate cookie dough. Multiply the price per kilogram by the number of kilograms.
$2 × 1\frac{1}{2} = $2 × 1.5 = $3
She will spend $3.


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 - 17}{14 - 13}
 = \frac{-9}{1}
 = -9
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{0 - 17}{15 - 13}
 = \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: Look at the table. Then answer the question. At a price of $35, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $35, 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: Jon counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 10 pairs of shoes but fewer than 90 pairs of shoes?

Answer: 21

Solution:
Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.

You counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 stores have at least 10 pairs of shoes but fewer than 90 pairs of shoes.


Question: The owner of a pick-your-own-bouquet flower farm recorded the number of flowers that customers picked yesterday. How many customers picked fewer than 2 flowers?

Answer: 9

Flowers picked | Frequency
1 | 9
2 | 18
3 | 15
4 | 10
5 | 6

Solution:
Find the row for 1 flower and read the frequency. The frequency is 9.

9 customers picked fewer than 2 flowers.


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 Libya receive in 1965 than in 1975?

Answer: 2

Country | 1965 | 1975
Nepal | $2 | $3
Libya | $4 | $2
Sri Lanka | $1 | $11
Afghanistan | $5 | $5

Country
Nepal
Libya
Sri Lanka
Afghanistan

Solution:
Find the Libya row. Find the numbers in this row for 1965 and 1975.

1965: $4.00
1975: $2.00

Now subtract:

$4.00 − $2.00 = $2.00

Per capita, Libya received $2 more in aid in 1965 than in 1975.


Question: Nora has $11. Does she have enough to buy fried eggs and a breakfast burrito?

Choices:
- yes
- no

Answer: no

breakfast burrito | $9
fried eggs | $3
bowl of melon | $1
waffle with berries | $1

breakfast burrito
fried eggs
bowl of melon
waffle with berries

Solution:
Add the price of fried eggs and the price of a breakfast burrito:

$3 + $9 = $12

$12 is more than $11. Nora does not have enough money.


Question: The science club made a table showing the ages of its members. What is the mean of the numbers?

Answer: 9

Name | Age (years)
Roger | 10
Emily | 8
Camille | 7
Ben | 7
Oscar | 13
Lindsey | 8
Shelby | 10

Roger Emily Camille Ben Oscar Lindsey Shelby

Solution:
Read the numbers from the table.

10, 8, 7, 7, 13, 8, 10

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

10 + 8 + 7 + 7 + 13 + 8 + 10 = 63

Now divide the sum by the number of numbers:

63 ÷ 7 = 9

The mean is 9.


Question: How much money does Mason need to buy a bag of birdseed and a bag of cat treats?

Answer: 2

bag of birdseed | $1.00
fish bowl | $5.00
bag of cat treats | $1.00
dog bowl | $6.00

bag of birdseed
fish bowl
bag of cat treats
dog bowl

Solution:
Add the price of a bag of birdseed and the price of a bag of cat treats:

$1.00 + $1.00 = $2.00

Mason needs $2.00.


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 April and May?

Answer: -1

Month | Waiting time (minutes)
March | 13
April | 18
May | 17
June | 17
July | 16

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{17 minutes - 18 minutes}{1 month}
 = \frac{-1 minutes}{1 month}
 = -1 minutes per month
The rate of change between April and May was - 1 minutes per month.


Question: Teachers at Newberg Elementary School asked students to name their favorite desserts. What fraction of the votes were for frozen yogurt? Simplify your answer.

Answer: 3/14

Dessert | Votes
Pudding | 460
Frozen yogurt | 210
Other | 310

Solution:
Find how many students voted for frozen yogurt.

210

Find how many votes there were in total.

460 + 210 + 310 = 980

Divide 210 by 980.

\frac{210}{980}

Reduce the fraction.

\frac{210}{980} → \frac{3}{14}

\frac{3}{14} of students voted for frozen yogurt.


Question: An environmental agency examined how many trees were planted by different organizations. What is the mean of the numbers?

Answer: 81

Organization | Number of trees planted
Trees for All | 69
New Planet | 94
Acorns to Oaks | 74
Let it Grow | 83
Plant It | 82
Heal the Earth | 70
Dreaming Green | 84
Make it Green | 92

Trees for All
New Planet
Acorns to Oaks
Let it Grow
Plant It
Heal the Earth
Dreaming Green
Make it Green

Solution:
Read the numbers from the table.

69, 94, 74, 83, 82, 70, 84, 92

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

69 + 94 + 74 + 83 + 82 + 70 + 84 + 92 = 648

Now divide the sum by the number of numbers:

648 ÷ 8 = 81

The mean is 81.


Question: Look at the following schedule. Which event ends at 2.00 P.M.?

Choices:
- soccer game
- softball game
- dance competition
- pie-eating contest

Answer: pie-eating contest

Event | Begin | End
water balloon toss | 10:15 A.M. | 11:00 A.M.
lunch | 11:05 A.M. | 12:00 P.M.
soccer game | 12:10 P.M. | 12:55 P.M.
pie-eating contest | 1:00 P.M. | 2:00 P.M.
dance competition | 2:05 P.M. | 3:00 P.M.
softball game | 2:55 P.M. | 3:40 P.M.
kickball game | 3:40 P.M. | 4:30 P.M.

water balloon toss
lunch
soccer game
pie-eating contest
dance competition
softball game
kickball game

Solution: Find 2:00 P. M. on the schedule. The pie-eating contest ends at 2:00 P. M.


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

Answer: 6

Name | Number of clubs
Joseph | 8
Allie | 7
Eliana | 2
Leroy | 6
David | 2
Tucker | 7
Xavier | 4

Joseph Allie Eliana Leroy David Tucker Xavier

Solution:
Read the numbers from the table.

8, 7, 2, 6, 2, 7, 4

First, find the greatest number. The greatest number is 8.

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

Subtract the least number from the greatest number:

8 − 2 = 6

The range is 6.


Question: Malia counted the number of articles in several different magazines. What is the largest number of articles?

Answer: 44

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

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

The largest number of articles has a stem of 4 and a leaf of 4. Write the stem first, then the leaf: 44.

The largest number of articles is 44 articles.


Question: This morning, Mr. Blanchard released the scores from last week's spelling test. How many students scored at least 30 points?

Answer: 8

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

You counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 students scored at least 30 points.


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

Answer: 6

Person | Number of Web pages
Tim | 6
Ernesto | 5
Pamela | 6
Celine | 10
Kamal | 5
Maggie | 6

Solution:
Read the numbers from the table.

6, 5, 6, 10, 5, 6

First, arrange the numbers from least to greatest:

5, 5, 6, 6, 6, 10

Now count how many times each number appears.

5 appears 2 times.
6 appears 3 times.
10 appears 1 time.

The number that appears most often is 6.

The mode is 6.


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

Answer: 42

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

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

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

The largest number of broken plates is 42 broken plates.


Question: A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 39 participants?

Answer: 9

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

In the row with stem 3, count all the leaves less than 9.

You counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 races had fewer than 39 participants.


Question: Justin kept track of the number of games his soccer team won each year. 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{31 games - 24 games}{2009 - 2008}
 = \frac{31 games - 24 games}{1 year}
 = \frac{7 games}{1 year}
 = 7 games per year
The rate of change between 2008 and 2009 was 7 games per year.


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

Choices:
- yes
- no

Answer: yes

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

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


Question: Each cup has 10 ice cubes. How many ice cubes are in 3 cups?

Answer: 30

Number of cups | Number of ice cubes
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 ice cubes in 3 cups.


Question: Look at the table. Then answer the question. At a price of $540, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $540, 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: Cooper wants to buy 5 pounds of parsley. How much will he spend?

Answer: 40

chamomile | $6 per pound
thyme | $5 per pound
oregano | $9 per pound
parsley | $8 per pound
cilantro | $7 per pound

chamomile thyme oregano parsley cilantro

$6 per pound
$5 per pound
$9 per pound
$8 per pound
$7 per pound

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

$8 × 5 = $40

He will spend $40.


Question: A grocery store recorded how many customers visited the store each day. On which day did the grocery store have the fewest customers?

Choices:
- Thursday
- Friday
- Saturday
- Sunday

Answer: Sunday

Day | Number of customers
Thursday | 45
Friday | 43
Saturday | 48
Sunday | 41

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.

Now find the corresponding day. Sunday corresponds to 41.


Question: A pretzel stand owner kept track of the number of pretzels sold during the past 3 days. How many more pretzels did the stand sell on Friday than on Sunday?

Answer: 202

Day | Number of pretzels
Friday | 678
Saturday | 364
Sunday | 476

Solution:
Find the numbers in the table.

Friday: 678
Sunday: 476

Now subtract: 678 - 476 = 202.

The stand sold 202 more pretzels on Friday.


Question: A toy store employee counted the number of toys in each bin in the sale section. What is the smallest number of toys?

Answer: 45

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 5.

The smallest number of toys has a stem of 4 and a leaf of 5. Write the stem first, then the leaf: 45.

The smallest number of toys is 45 toys.


Question: The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 20 roses?

Answer: 11

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

You counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 bushes have at least 20 roses.


Question: Each plate has 5 pumpkin bars. How many pumpkin bars are on 5 plates?

Answer: 25

Number of plates | Number of pumpkin bars
1 | 5
2 | 10
3 | 15
4 | 20
5 | ?

Solution: Count by fives. Use the chart: there are 25 pumpkin bars on 5 plates.


Question: An actor was informed how many fan letters he received each day. What is the mode of the numbers?

Answer: 4

Day | Number of fan letters
Tuesday | 4
Wednesday | 8
Thursday | 4
Friday | 7
Saturday | 4
Monday | 8

Tuesday Wednesday Thursday Friday Saturday Monday

Solution:
Read the numbers from the table.

4, 8, 4, 7, 4, 8

First, arrange the numbers from least to greatest:

4, 4, 4, 7, 8, 8

Now count how many times each number appears.

4 appears 3 times.
7 appears 1 time.
8 appears 2 times.

The number that appears most often is 4.

The mode is 4.


Question: Sophia wrote down how many cups of lemonade she sold in the past 5 days. How many cups in total did the lemonade stand sell on Tuesday and Friday?

Answer: 366

Day | Number of cups
Monday | 681
Tuesday | 178
Wednesday | 166
Thursday | 135
Friday | 188

Solution:
Find the numbers in the table.

Tuesday: 178
Friday: 188

Now add: 178 + 188 = 366.

The lemonade stand sold 366 cups on Tuesday and Friday.


Question: A science teacher presented a balloon to her class, and posed the question, "If I keep this balloon in the freezer overnight, what will occur?" She followed up with, "How certain are you of your answer?" The teacher recorded her students' responses. What is the probability that a randomly selected student believes the balloon will stay the same and was certain? Simplify any fractions.

Answer: 1/6

 | Certain | Uncertain
Shrink | 6 | 5
Stay the same | 3 | 4

Solution:
Let A be the event "the student believes the balloon will stay the same" and B be the event "the student was certain".
To find the probability that a student believes the balloon will stay the same and was certain, 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 believes the balloon will stay the same and was certain".
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 believes the balloon will stay the same and was certain", so look at the table to see how many students believe the balloon will stay the same and were certain.
The number of students who believe the balloon will stay the same and were certain is 3.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of students.
6 + 3 + 5 + 4 = 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{3}{18}
 = \frac{1}{6}
The probability that a student believes the balloon will stay the same and was certain is \frac{1}{6}.


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

Answer: 2

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

Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

13, 13, 14, 13, 15

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

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

Subtract the least number from the greatest number:

15 − 13 = 2

The range is 2.


Question: A farm equipment company kept a record of the number of tractors made each month. How many tractors did the company make in total in November and December?

Answer: 809

Month | Number of tractors
November | 652
December | 157
January | 180
February | 146

Solution:
Find the numbers in the table.

November: 652
December: 157

Now add: 652 + 157 = 809.

The company made 809 tractors in November and December.


Question: Shelley went to the store and bought 1 pound of shrimp. How much did she spend?

Answer: 4.54

lobster meat | $6.90/pound
mussels | $6.71/pound
crab meat | $3.66/pound
scallops | $3.18/pound
oysters | $6.66/pound
shrimp | $4.54/pound

lobster meat
mussels
crab meat
scallops
oysters
shrimp

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

$4.54 × 1 = $4.54

She spent $4.54.


Question: A food critic counted the number of menu items at each restaurant in town. How many restaurants have exactly 34 menu items?

Answer: 2

Solution:
For the number 34, the stem is 3, and the leaf is 4. Find the row where the stem is 3. In that row, count all the leaves equal to 4.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 restaurants have exactly 34 menu items.


Question: Nathan's class tracked how many newspapers each student collected for their recycling project. Together, how many newspapers did Nathan and Daniel collect?

Answer: 708

Name | Number of newspapers
Nathan | 571
Daniel | 137
Amanda | 127

Solution:
Find the numbers in the table.

Nathan: 571
Daniel: 137

Now add: 571 + 137 = 708.

Nathan and Daniel collected 708 newspapers.


Question: Isaac looked at his calendar to see how many hours he had worked in the past 7 days. What is the median of the numbers?

Answer: 3

Day | Hours
Wednesday | 0
Thursday | 3
Friday | 9
Saturday | 4
Sunday | 2
Monday | 6
Tuesday | 3

Wednesday Thursday Friday Saturday Sunday Monday Tuesday

Solution:
Read the numbers from the table.

0, 3, 9, 4, 2, 6, 3

First, arrange the numbers from least to greatest:

0, 2, 3, 3, 4, 6, 9

Now find the number in the middle.

0, 2, 3, 3, 4, 6, 9

The number in the middle is 3.

The median is 3.


Question: An office manager counts the number of letters sent by each of her company's employees each week. How many employees mailed more than 3 letters?

Answer: 16

Letters mailed | Frequency
0 | 5
1 | 18
2 | 10
3 | 17
4 | 16

Solution:
Find the row for 4 letters and read the frequency. The frequency is 16.

16 employees mailed more than 3 letters.


Question: Look at the following schedule. When does Pirates in Pirate Ships end?

Choices:
- 10:25 A.M.
- 4:55 P.M.
- 1:55 P.M.
- 12:00 P.M.

Answer: 4:55 P.M.

Movie | Begin | End
Wildlife in the Wild: Elephants | 7:20 A.M. | 10:20 A.M.
The Wizard in the Cereal Box | 9:25 A.M. | 10:25 A.M.
Two People Happy Together | 9:45 A.M. | 12:00 P.M.
Big Action Movie III | 11:10 A.M. | 1:55 P.M.
Kung Fu Madness | 1:00 P.M. | 3:55 P.M.
Pirates in Pirate Ships | 3:20 P.M. | 4:55 P.M.

Wildlife in the Wild: Elephants
The Wizard in the Cereal Box
Two People Happy Together
Big Action Movie III
Kung Fu Madness
Pirates in Pirate Ships

Solution:
Find Pirates in Pirate Ships on the schedule. Find the end time for Pirates in Pirate Ships.

Pirates in Pirate Ships: 4:55 P. M.


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

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{7 - 0}{5 - 4}
 = \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{14 - 0}{6 - 4}
 = \frac{14}{2}
 = 7
The two rates of change are the same.
If you checked the rate of change between rows 2 and 3, you would find that it is also 7.
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: Look at the table. Then answer the question. At a price of $810, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $810, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.


Question: Each field has 2 cows. How many cows are in 6 fields?

Answer: 12

Number of fields | Number of cows
1 | 2
2 | 4
3 | 6
4 | 8
5 | 10
6 | ?

Solution: Count by twos. Use the chart: there are 12 cows in 6 fields.


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

Choices:
- yes
- no

Answer: yes

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

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


Question: If Ellen buys 4 pounds of blanched peanuts and 3 pounds of garlic peanuts, how much will she spend?

Answer: 22

unshelled peanuts | $4 per pound
honey roasted peanuts | $3 per pound
blanched peanuts | $4 per pound
salted peanuts | $2 per pound
garlic peanuts | $2 per pound
unsalted peanuts | $4 per pound

unshelled peanuts
honey roasted peanuts
blanched peanuts
salted peanuts
garlic peanuts
unsalted peanuts

$4 per pound
$3 per pound
$4 per pound
$2 per pound
$2 per pound
$4 per pound

Solution:
Find the cost of the blanched peanuts. Multiply:

$4 × 4 = $16

Find the cost of the garlic peanuts. Multiply:

$2 × 3 = $6

Now find the total cost by adding:

$16 + $6 = $22

She will spend $22.


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

Answer: 3

Name | Number of cans of food
Kendra | 5
Rodrigo | 8
Mateo | 7
Janice | 8
Bryant | 6
Alice | 5
Herman | 8

Kendra Rodrigo Mateo Janice Bryant Alice Herman

Solution:
Read the numbers from the table.

5, 8, 7, 8, 6, 5, 8

First, find the greatest number. The greatest number is 8.

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

Subtract the least number from the greatest number:

8 − 5 = 3

The range is 3.


Question: Each shelf has 2 hats. How many hats are on 3 shelves?

Answer: 6

Number of shelves | Number of hats
1 | 2
2 | 4
3 | ?

Solution: Count by twos. Use the chart: there are 6 hats on 3 shelves.


Question: Each crate has 10 boxes of grapes. How many boxes of grapes are in 5 crates?

Answer: 50

Number of crates | Number of boxes of grapes
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 boxes of grapes in 5 crates.


Question: In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which "bonus survival tool" they would be allowed to bring, along with a few other necessary items. What is the probability that a randomly selected participant spun the first wheel and landed on desert and spun the second wheel and landed on matches? Simplify any fractions.

Answer: 1/16

 | A tent | Matches
Desert | 6 | 1
Rainforest | 4 | 5

Solution:
Let A be the event "the participant spun the first wheel and landed on desert" and B be the event "the participant spun the second wheel and landed on matches".
To find the probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on matches, first identify the sample space and the event.
The outcomes in the sample space are the different participants. Each participant is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the participant spun the first wheel and landed on desert and spun the second wheel and landed on matches".
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 participant spun the first wheel and landed on desert and spun the second wheel and landed on matches", so look at the table to see how many participants spun the first wheel and landed on desert and spun the second wheel and landed on matches.
The number of participants who spun the first wheel and landed on desert and spun the second wheel and landed on matches is 1.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of participants.
6 + 4 + 1 + 5 = 16

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{1}{16}
The probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on matches is \frac{1}{16}.


Question: A candy dispenser put various numbers of orange candies into bags. How many bags had exactly 33 orange candies?

Answer: 0

Solution:
For the number 33, the stem is 3, and the leaf is 3. Find the row where the stem is 3. In that row, count all the leaves equal to 3.

You counted 0 leaves. 0 bags had exactly 33 orange candies.


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{5 - 7}{15 - 14}
 = \frac{-2}{1}
 = -2
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{4 - 7}{16 - 14}
 = \frac{-3}{2}
 = -1\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: The parks department compared how many soccer fields there are at each park. What is the mean of the numbers?

Answer: 5

Park | Number of soccer fields
Juniper Park | 7
Madison Park | 7
Canyon Park | 4
Windy Hill Park | 3
Lighthouse Park | 7
Elmhurst Park | 2

Juniper Park
Madison Park
Canyon Park
Windy Hill Park
Lighthouse Park
Elmhurst Park

Solution:
Read the numbers from the table.

7, 7, 4, 3, 7, 2

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

7 + 7 + 4 + 3 + 7 + 2 = 30

Now divide the sum by the number of numbers:

30 ÷ 6 = 5

The mean is 5.


Question: Look at Tom's pay stub. Tom lives in a state without state income tax. How much payroll tax did Tom pay in total?

Answer: 207.70

Employee | Pay period |
Tom Warren | July 1-15 |
Total earnings | | $1,098.00
Federal income tax | $123.70 |
Other taxes | $84.00 |
Total taxes | | ?
Pay after taxes | | ?

Tom Warren
Total earnings
Federal income tax
Other taxes
Total taxes
Pay after taxes

Solution:
To find the total payroll tax, add the federal income tax and the other taxes.
The federal income tax is $123.70. The other taxes are $84.00. Add.
$123.70 + $84.00 = $207.70
Tom paid a total of $207.70 in payroll tax.


Question: Mr. Livingston, the English teacher, had his students track the number of books they read last month. How many students are there in all?

Answer: 63

Solution:
Add the frequencies for each row.

Add:

18 + 14 + 4 + 7 + 13 + 5 + 2 = 63

There are 63 students in all.


Question: For a study on numerical psychology, people were polled about which number between 1 and 5 they like most, and why. Which number was said the most times?

Answer: 3

People's favorite numbers between 1 and 5

Favorite number | Frequency
1 | 3
2 | 4
3 | 6
4 | 0
5 | 2

Solution: Look at the frequency column. Find the greatest frequency. The greatest frequency is 6, which is in the row for 3. 3 was said the most times.


Question: Look at the following schedule. When does the relay race begin?

Choices:
- 11:10 A.M.
- 12:05 P.M.
- 10:05 A.M.
- 10:45 A.M.

Answer: 11:10 A.M.

Event | Begin | End
scooter race | 10:05 A.M. | 10:40 A.M.
potato sack race | 10:45 A.M. | 10:55 A.M.
relay race | 11:10 A.M. | 11:50 A.M.
jump rope race | 12:05 P.M. | 1:00 P.M.
water balloon toss | 1:10 P.M. | 2:05 P.M.
hula hoop contest | 2:15 P.M. | 3:05 P.M.
tug-of-war | 3:10 P.M. | 3:30 P.M.
egg relay | 3:40 P.M. | 4:40 P.M.

scooter race
potato sack race
relay race
jump rope race
water balloon toss
hula hoop contest
tug-of-war
egg relay

Solution:
Find the relay race on the schedule. Find the beginning time for the relay race.

relay race: 11:10 A. M.


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

Answer: 8

Teacher | Number of students
Miss Jones | 18
Miss Urban | 15
Mrs. King | 12
Mr. Cohen | 16
Mrs. Truman | 19
Mr. Chen | 20
Ms. Hershfeld | 17
Mrs. Novak | 13

Miss Jones
Miss Urban
Mrs. King
Mr. Cohen
Mrs. Truman
Mr. Chen
Ms. Hershfeld
Mrs. Novak

Solution:
Read the numbers from the table.

18, 15, 12, 16, 19, 20, 17, 13

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

Next, find the least number. The least number is 12.

Subtract the least number from the greatest number:

20 − 12 = 8

The range is 8.


Question: Look at the following schedule. Jake got on the bus at the hotel at 8.45 A.M. What time will he get to the baseball stadium?

Choices:
- 9:15 A.M.
- 1:00 P.M.
- 11:00 A.M.
- 9:30 A.M.

Answer: 9:30 A.M.

park
hotel
baseball stadium
downtown
airport
football stadium
art museum
softball field

Solution:
Find 8:45 A. M. in the row for the hotel. That column shows the schedule for the bus that Jake is on.

Look down the column until you find the row for the baseball stadium.

Jake will get to the baseball stadium at 9:30 A. M.


Question: How much more does a measuring tape cost than a watering can?

Answer: 1

watering can | $13.00
rake | $19.00
mop | $18.00
measuring tape | $14.00
lawn mower | $46.00

watering can
rake
mop
measuring tape
lawn mower

Solution:
Subtract the price of a watering can from the price of a measuring tape.

$14.00 - $13.00 = $1.00

A measuring tape costs $1.00 more than a watering can.


Question: How much money does Michael need to buy an oven and a microwave?

Answer: 641

oven | $258.00
washing machine | $506.00
microwave | $383.00
water heater | $416.00
stove | $224.00
clothes dryer | $278.00

oven
washing machine
microwave
water heater
stove
clothes dryer

Solution:
Add the price of an oven and the price of a microwave:

$258.00 + $383.00 = $641.00

Michael needs $641.00.


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 - 6}{9 - 8}
 = \frac{5}{1}
 = 5
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{16 - 11}{10 - 9}
 = \frac{5}{1}
 = 5
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 5.
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: Jim, 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 June and July?

Answer: 8

Average waiting time at a doctor's office

Month | Waiting time (minutes)
March | 25
April | 24
May | 28
June | 22
July | 30

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{30 minutes - 22 minutes}{1 month}
 = \frac{8 minutes}{1 month}
 = 8 minutes per month
The rate of change between June and July was 8 minutes per month.


Question: The train conductor made sure to count the number of passengers on each train. How many trains had at least 30 passengers?

Answer: 14

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

You counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 trains had at least 30 passengers.


Question: How much more does a Thoroughbred horse cost than an Appaloosa horse?

Answer: 1,078

Appaloosa horse | $3,946.00
Morgan horse | $4,024.00
Hanoverian horse | $9,310.00
Thoroughbred horse | $5,024.00

Appaloosa horse
Morgan horse
Hanoverian horse
Thoroughbred horse

Solution:
Subtract the price of an Appaloosa horse from the price of a Thoroughbred horse.

$5,024.00 - $3,946.00 = $1,078.00

A Thoroughbred horse costs $1,078.00 more than an Appaloosa horse.


Question: A grocery store monitored how many paper bags were used in the past 5 days. How many more paper bags did the grocery store use on Sunday than on Monday?

Answer: 6,445

Day | Number of paper bags
Friday | 6,569
Saturday | 3,016
Sunday | 8,094
Monday | 1,649
Tuesday | 4,366

Solution:
Find the numbers in the table.

Sunday: 8,094
Monday: 1,649

Now subtract: 8,094 - 1,649 = 6,445.

The grocery store used 6,445 more paper bags on Sunday.


Question: A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?

Answer: -4

Day | Boxes of cookies
Monday | 38
Tuesday | 41
Wednesday | 38
Thursday | 34
Friday | 36

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{34 boxes - 38 boxes}{1 day}
 = \frac{-4 boxes}{1 day}
 = -4 boxes per day
The rate of change between Wednesday and Thursday was - 4 boxes per day.


Question: Tammy's class tracked how many newspapers each student collected for their recycling project. How many more newspapers did Tammy collect than Britney?

Answer: 535

Name | Number of newspapers
Britney | 125
Maddie | 799
Tammy | 660

Solution:
Find the numbers in the table.

Tammy: 660
Britney: 125

Now subtract: 660 - 125 = 535.

Tammy collected 535 more newspapers.


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

Answer: 1

Park | Number of soccer fields
Windy Hill Park | 7
Middle Park | 6
Crane Park | 7
Juniper Park | 1
Lighthouse Park | 1
Madison Park | 1
Moon Park | 6
Elmhurst Park | 1

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

Solution:
Read the numbers from the table.

7, 6, 7, 1, 1, 1, 6, 1

First, arrange the numbers from least to greatest:

1, 1, 1, 1, 6, 6, 7, 7

Now count how many times each number appears.

1 appears 4 times.
6 appears 2 times.
7 appears 2 times.

The number that appears most often is 1.

The mode is 1.


Question: Kendall graphed the daily low temperature for 7 days. What is the mode of the numbers?

Answer: 8

Day | Temperature (Â°C)
Monday | 8
Tuesday | 9
Wednesday | 9
Thursday | 10
Friday | 10
Saturday | 8
Sunday | 8

Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

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

First, arrange the numbers from least to greatest:

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

Now count how many times each number appears.

8 appears 3 times.
9 appears 2 times.
10 appears 2 times.

The number that appears most often is 8.

The mode is 8.


Question: A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer purchased a Footlong shoe and is displeased? Simplify any fractions.

Answer: 1/4

 | Displeased | Pleased
A Footlong shoe | 5 | 3
A Toes Knows shoe | 6 | 6

Solution:
Let A be the event "the customer purchased a Footlong shoe" and B be the event "the customer is displeased".
To find the probability that a customer purchased a Footlong shoe and is displeased, first identify the sample space and the event.
The outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the customer purchased a Footlong shoe and is displeased".
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 customer purchased a Footlong shoe and is displeased", so look at the table to see how many customers purchased a Footlong shoe and are displeased.
The number of customers who purchased a Footlong shoe and are displeased is 5.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of customers.
5 + 6 + 3 + 6 = 20

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{5}{20}
 = \frac{1}{4}
The probability that a customer purchased a Footlong shoe and is displeased is \frac{1}{4}.


Question: In science class, Celine 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: Zack bought 3/5 of a kilogram of double chocolate cookie dough. How much did he spend?

Answer: 1.20

snickerdoodle cookie dough | $2 per kg
double chocolate cookie dough | $2 per kg
peanut butter cookie dough | $2 per kg
chocolate chip cookie dough | $2 per kg
gingersnap cookie dough | $2 per kg
oatmeal raisin cookie dough | $2 per kg

snickerdoodle cookie dough
double chocolate cookie dough
peanut butter cookie dough
chocolate chip cookie dough
gingersnap cookie dough
oatmeal raisin cookie dough

$2 per kg
$2 per kg
$2 per kg
$2 per kg
$2 per kg
$2 per kg

Solution:
Find the cost of the double chocolate cookie dough. Multiply the price per kilogram by the number of kilograms.
$2 × \frac{3}{5} = $2 × 0.6 = $1.20
He spent $1.20.


Question: Rita wants to buy 1 kilogram of Cavendish bananas, 3 kilograms of pink bananas, and 3 kilograms of red bananas. How much will she spend?

Answer: 6.20

Cavendish bananas | $0.98/kilogram
plantains | $0.98/kilogram
pink bananas | $1.09/kilogram
bananitos | $0.49/kilogram
red bananas | $0.65/kilogram

Cavendish bananas
plantains
pink bananas
bananitos
red bananas

Solution:
Find the cost of the Cavendish bananas. Multiply:

$0.98 × 1 = $0.98

Find the cost of the pink bananas. Multiply:

$1.09 × 3 = $3.27

Find the cost of the red bananas. Multiply:

$0.65 × 3 = $1.95

Now find the total cost by adding:

$0.98 + $3.27 + $1.95 = $6.20

She will spend $6.20.


Question: Stanley is keeping track of the animals on his farm. The frequency chart shows the animals currently on his farm. Stanley will sell one-third of his pigs and all of his horses. How many animals will Stanley sell?

Answer: 11

Type | Frequency
cow | 38
pig | 21
horse | 4
chicken | 12

Solution:
Step 1: Find how many pigs Stanley will sell.
Stanley has a total of 21 pigs. He will sell one-third of them. Divide 21 by 3.
21÷3 = 7
Stanley will sell 7 pigs.
Step 2: Find how many animals Stanley will sell in all.
Stanley has 4 horses and will sell all of them. So, add 7 pigs and 4 horses.
7 + 4 = 11
Stanley will sell 11 animals.


Question: How much money does Walter need to buy a football helmet key chain and a puppy key chain?

Answer: 4.59

football helmet key chain | $1.90
piano key chain | $2.19
rainbow key chain | $2.25
globe key chain | $1.70
puppy key chain | $2.69
soccer ball key chain | $1.96

football helmet key chain
piano key chain
rainbow key chain
globe key chain
puppy key chain
soccer ball key chain

Solution:
Add the price of a football helmet key chain and the price of a puppy key chain:

$1.90 + $2.69 = $4.59

Walter needs $4.59.


Question: Look at the following schedule. Which stop does the train depart from at 12.15 P.M.?

Choices:
- elementary school
- swimming pool
- downtown
- science museum

Answer: elementary school

Location | Time
city hall | 10:40 A.M.
downtown | 11:10 A.M.
library | 11:30 A.M.
university | 12:00 P.M.
elementary school | 12:15 P.M.
town square | 12:30 P.M.
swimming pool | 12:40 P.M.
science museum | 12:45 P.M.
soccer field | 1:00 P.M.

city hall
downtown
library
university
elementary school
town square
swimming pool
science museum
soccer field

Solution: Find 12:15 P. M. on the schedule. The train departs from the elementary school at 12:15 P. M.


Question: Jayce purchased 4 kilograms of duck. What was the total cost?

Answer: 16

chicken | $4/kilogram
duck | $4/kilogram
pork | $3/kilogram
ham | $4/kilogram

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

$4 × 4 = $16

The total cost was $16.


Question: Compare pattern A to pattern B. Which statement is true?

Choices:
- Each term in pattern B can be found by subtracting the corresponding term in pattern A from 16.
- Each term in pattern B can be found by dividing the corresponding term in pattern A by 7.

Answer: Each term in pattern B can be found by dividing the corresponding term in pattern A by 7.

Solution:
Look at the corresponding terms in the table. For example, the first pair of corresponding terms is 14 and 2.
Read the first statement.
Each term in pattern B can be found by subtracting the corresponding term in pattern A from 16.
This statement is not true for all of the corresponding terms. For example, 4 is not equal to 28 subtracted from 16.
Read the second statement.
Each term in pattern B can be found by dividing the corresponding term in pattern A by 7.
This statement is true for all of the corresponding terms.
14÷7 = 2
28÷7 = 4
42÷7 = 6
56÷7 = 8


Question: A pencil company revealed how many pencils it sold in the past 4 months. How many pencils in total did the company sell in November and January?

Answer: 7,970

Month | Number of pencils
October | 1,433
November | 6,421
December | 2,166
January | 1,549

Solution:
Find the numbers in the table.

November: 6,421
January: 1,549

Now add: 6,421 + 1,549 = 7,970.

The company sold 7,970 pencils in November and January.


Question: Each bracelet has 5 purple beads. How many purple beads are on 3 bracelets?

Answer: 15

Number of bracelets | Number of purple beads
1 | 5
2 | 10
3 | ?

Solution: Count by fives. Use the chart: there are 15 purple beads on 3 bracelets.


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: 19

Month | Waiting time (minutes)
April | 16
May | 6
June | 37
July | 25
August | 44

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{44 minutes - 25 minutes}{1 month}
 = \frac{19 minutes}{1 month}
 = 19 minutes per month
The rate of change between July and August was 19 minutes per month.


Question: Professor Henson informed his students of their scores on the midterm exam. How many students scored exactly 45 points?

Answer: 3

Solution:
For the number 45, the stem is 4, and the leaf is 5. Find the row where the stem is 4. In that row, count all the leaves equal to 5.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly 45 points.


Question: A machine dispensed red gumdrops into bags of various sizes. How many bags had exactly 26 red gumdrops?

Answer: 3

Solution:
For the number 26, the stem is 2, and the leaf is 6. Find the row where the stem is 2. In that row, count all the leaves equal to 6.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bags had exactly26 red gumdrops.


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

Answer: 6

Street | Number of stop signs
Jackson Street | 3
Peabody Street | 9
Mason Street | 2
Spring Street | 6
Irving Street | 8
Marshall Street | 10
Walker Street | 4

Jackson Street
Peabody Street
Mason Street
Spring Street
Irving Street
Marshall Street
Walker Street

Solution:
Read the numbers from the table.

3, 9, 2, 6, 8, 10, 4

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

3 + 9 + 2 + 6 + 8 + 10 + 4 = 42

Now divide the sum by the number of numbers:

42 ÷ 7 = 6

The mean is 6.


Question: How much more does a slice of cherry pie cost than a chocolate-chip cookie?

Answer: 2.01

chocolate-chip cookie | $1.66
blueberry muffin | $1.31
slice of cherry pie | $3.67
cupcake | $1.35
ice cream cone | $2.38

chocolate-chip cookie
blueberry muffin
slice of cherry pie
cupcake
ice cream cone

Solution:
Subtract the price of a chocolate-chip cookie from the price of a slice of cherry pie.

$3.67 - $1.66 = $2.01

A slice of cherry pie costs $2.01 more than a chocolate-chip cookie.


Question: Felix's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed less chocolate per capita in 2002, Norway or Australia?

Choices:
- Norway
- Australia

Answer: Australia

Country | 2002 | 2005
Australia | 4 | 5
Germany | 10 | 11
Norway | 8 | 9

Solution:
Find the 2002 column. Compare the numbers in this column for Norway and Australia.

4 is less than 8. Australia consumed less chocolate per capita in 2002.


Question: An editor of the school yearbook asked some fourth and fifth graders what their favorite subjects were. How many more students voted for science than history?

Answer: 6

Subject | Fourth graders | Fifth graders
Reading | 15 | 5
History | 19 | 1
Science | 12 | 14
Math | 14 | 4

Reading History Science Math

Solution:
Add the numbers in the Science row. Then, add the numbers in the History row.

science: 12 + 14 = 26
history: 19 + 1 = 20

Now subtract:

26 − 20 = 6

6 more students voted for science than history.


Question: Jessica tracked the attendance at the school play. What is the median of the numbers?

Answer: 63

Day | Number of tickets
Friday | 47
Saturday | 64
Sunday | 57
Monday | 74
Tuesday | 71
Wednesday | 61
Thursday | 63

Friday Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

47, 64, 57, 74, 71, 61, 63

First, arrange the numbers from least to greatest:

47, 57, 61, 63, 64, 71, 74

Now find the number in the middle.

47, 57, 61, 63, 64, 71, 74

The number in the middle is 63.

The median is 63.


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{8 - 15}{13 - 12}
 = \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{1 - 15}{14 - 12}
 = \frac{-14}{2}
 = -7
The two rates of change are the same.
7.
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: Look at this table. Is this relation a function?

Choices:
- yes
- no

Answer: yes

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

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


Question: Ezra has $12,462.00. Does he have enough to buy a microscope and a precision balance?

Choices:
- yes
- no

Answer: yes

autoclave | $3,865.00
centrifuge | $2,336.00
microscope | $8,404.00
precision balance | $3,565.00
telescope | $9,514.00

autoclave
centrifuge
microscope
precision balance
telescope

Solution:
Add the price of a microscope and the price of a precision balance:

$8,404.00 + $3,565.00 = $11,969.00

$11,969.00 is less than $12,462.00. Ezra does have enough money.


Question: How much would it cost to buy 1 kilogram of hummus?

Answer: 1.43

onion dip | $2.20 per kg
guacamole | $1.12 per kg
baba ghanoush | $1.80 per kg
hummus | $1.43 per kg
dill dip | $1.35 per kg

onion dip
guacamole
baba ghanoush
hummus
dill dip

$2.20 per kg
$1.12 per kg
$1.80 per kg
$1.43 per kg
$1.35 per kg

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

$1.43 × 1 = $1.43

It would cost $1.43.


Question: Look at the table. Then answer the question. At a price of $1,185, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $1,185, 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 principal of Clarksville Elementary School released statistics about how many boys and girls were in each fourth grade class at her school. Whose class has the most students?

Choices:
- Miss Smith
- Miss Fisher
- Miss Kim
- Ms. Weston

Answer: Ms. Weston

Teacher | Boys | Girls
Miss Kim | 12 | 8
Miss Fisher | 11 | 13
Ms. Weston | 10 | 16
Miss Smith | 5 | 13

Miss Kim
Miss Fisher
Ms. Weston
Miss Smith

Solution:
Add the numbers in each row.

Miss Kim: 12 + 8 = 20
Miss Fisher: 11 + 13 = 24
Ms. Weston: 10 + 16 = 26
Miss Smith: 5 + 13 = 18

The greatest sum is 26, which is the total for the Ms. Weston row. The most students are in Ms. Weston's class.


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

Answer: 9

Cookies eaten | Frequency
1 | 9
2 | 18
3 | 0
4 | 20

Solution:
Find the row for 1 cookie last week and read the frequency. The frequency is 9.

9 customers ate fewer than 2 cookies last week.


Question: The houses in Abby's town get their water from a local reservoir. Abby and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?

Choices:
- April
- May

Answer: April

Month | Change in water level (in.)
April | -6
May | 4

Solution:
A positive change means the water level went up. A negative change means the water level went down.
To find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.
April: |-6| = 6
May: |4| = 4
The water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.


Question: Look at the following schedule. At which stop does the bus arrive at 12.10 P.M.?

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

Answer: playground

Location | Time
the library | 10:15 A.M.
the mall | 11:00 A.M.
the movie theater | 11:40 A.M.
the playground | 12:10 P.M.
the doctor's office | 12:50 P.M.
the grocery store | 1:40 P.M.

the library
the mall
the movie theater
the playground
the doctor's office
the grocery store

Solution: Find 12:10 P. M. on the schedule. The bus arrives at the playground at 12:10 P. M.


Question: An architecture student measured the heights of all the buildings downtown. How many buildings are less than 57 meters tall?

Answer: 13

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

In the row with stem 5, count all the leaves less than 7.

You counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 buildings are less than 57 meters tall.


Question: Look at the following schedule. Which event begins at 9.00 A.M.?

Choices:
- weather demonstration
- gravity lecture
- train lecture
- dinosaur show

Answer: train lecture

Event | Begin | End
train lecture | 9:00 A.M. | 9:40 A.M.
weather demonstration | 9:05 A.M. | 10:20 A.M.
gravity lecture | 10:05 A.M. | 11:55 A.M.
plant demonstration | 11:25 A.M. | 12:20 P.M.
electricity demonstration | 11:50 A.M. | 12:45 P.M.
dinosaur show | 12:05 P.M. | 1:55 P.M.
reptile show | 1:35 P.M. | 3:35 P.M.

train lecture
weather demonstration
gravity lecture
plant demonstration
electricity demonstration
dinosaur show
reptile show

Solution: Find 9:00 A. M. on the schedule. The train lecture begins at 9:00 A. M.


Question: Paula, 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 October and November?

Answer: 3

Average waiting time at a doctor's office

Month | Waiting time (minutes)
August | 19
September | 15
October | 10
November | 13
December | 17

August September October November December

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{13 minutes - 10 minutes}{1 month}
 = \frac{3 minutes}{1 month}
 = 3 minutes per month
The rate of change between October and November was 3 minutes per month.


Question: A philanthropic organization compared the amounts of money that its members donated to certain causes. How much did Logan donate to cancer research?

Answer: 7

Person | Animal rights | Cancer research
Josie | $13 | $9
Elise | $19 | $3
Gabby | $12 | $12
Logan | $4 | $7

Solution:
First, find the row for Logan. Then find the number in the Cancer research column.

This number is $7.00. Logan donated $7 to cancer research.


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

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

Answer: bottom of the mine

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

Top of the skyscraper
Bottom of the mine

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


Question: Each desk has 10 red markers. How many red markers are on 3 desks?

Answer: 30

Number of desks | Number of red markers
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 red markers on 3 desks.


Question: What is the total cost for 3 pounds of strawberries and 3 pounds of boysenberries?

Answer: 14.13

blackberries | $2.34 per pound
strawberries | $2.21 per pound
blueberries | $5.55 per pound
boysenberries | $2.50 per pound

blackberries strawberries blueberries boysenberries

$2.34 per pound
$2.21 per pound
$5.55 per pound
$2.50 per pound

Solution:
Find the cost of the strawberries. Multiply:

$2.21 × 3 = $6.63

Find the cost of the boysenberries. Multiply:

$2.50 × 3 = $7.50

Now find the total cost by adding:

$6.63 + $7.50 = $14.13

The total cost is $14.13.


Question: Aaliyah has $0.46. Does she have enough to buy a lemon and a tangerine?

Choices:
- yes
- no

Answer: no

tangerine | $0.30
cucumber | $0.96
lemon | $0.20
kiwi | $0.99
tomato | $0.56
lime | $0.12

tangerine cucumber lemon kiwi tomato lime

Solution:
Add the price of a lemon and the price of a tangerine:

$0.20 + $0.30 = $0.50

$0.50 is more than $0.46. Aaliyah does not have enough money.


Question: As part of a statistics project, a math class weighed all the children who were willing to participate. What is the weight of the lightest child?

Answer: 11

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 weight of the lightest child has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.

The weight of the lightest child is 11 pounds.


Question: Alexa has $87. Does she have enough to buy a tree frog and a tarantula?

Choices:
- yes
- no

Answer: no

tarantula | $49
finch | $94
tree frog | $40
rabbit | $89

Solution:
Add the price of a tree frog and the price of a tarantula:

$40 + $49 = $89

$89 is more than $87. Alexa does not have enough money.


Question: The city library monitored the number of books checked out each day. On which day were the fewest books checked out?

Choices:
- Thursday
- Friday
- Saturday
- Sunday

Answer: Thursday

Day | Number of books
Thursday | 735
Friday | 773
Saturday | 757
Sunday | 753

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 735.

Now find the corresponding day. Thursday corresponds to 735.


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{8 - 16}{11 - 10}
 = \frac{-8}{1}
 = -8
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{0 - 8}{12 - 11}
 = \frac{-8}{1}
 = -8
The two rates of change are the same.
8.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


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

Answer: 5

Teacher | Number of computers
Mr. Schmidt | 9
Mrs. Jansen | 3
Mr. Morales | 4
Ms. Cohen | 2
Mrs. Rossi | 1
Ms. Rojas | 14
Mrs. Tan | 2
Mr. Watson | 5

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

Solution:
Read the numbers from the table.

9, 3, 4, 2, 1, 14, 2, 5

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

9 + 3 + 4 + 2 + 1 + 14 + 2 + 5 = 40

Now divide the sum by the number of numbers:

40 ÷ 8 = 5

The mean is 5.


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

Answer: 84

Name | Number of coins
Braden | 76
Camilla | 94
Rick | 86
Mary | 84
Hector | 80
Devin | 83
Emily | 82
Avery | 87

Braden Camilla Rick Mary Hector Devin Emily Avery

Solution:
Read the numbers from the table.

76, 94, 86, 84, 80, 83, 82, 87

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

76 + 94 + 86 + 84 + 80 + 83 + 82 + 87 = 672

Now divide the sum by the number of numbers:

672 ÷ 8 = 84

The mean is 84.


Question: Look at the following schedule. Sidney got on the train at Arcadia at 6.15 A.M. What time will she get to Burlington?

Choices:
- 12:45 P.M.
- 1:45 P.M.
- 7:30 A.M.
- 6:15 A.M.

Answer: 7:30 A.M.

Brookfield
Washington
Arcadia
Burlington
Oak Grove

Solution:
Find 6:15 A. M. in the row for Arcadia. That column shows the schedule for the train that Sidney is on.

Look down the column until you find the row for Burlington.

Sidney will get to Burlington at 7:30 A. M.


Question: Lillian counted the pages in each book on her English class's required reading list. How many books had at least 60 pages but less than 80 pages?

Answer: 5

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

You counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 books had at least 60 pages but less than 80 pages.


Question: How much more does a watermelon cost than a cucumber?

Answer: 3.17

cucumber | $1.47
grapefruit | $1.05
yellow pepper | $1.04
red pepper | $1.07
watermelon | $4.64

cucumber
grapefruit
yellow pepper
red pepper
watermelon

Solution:
Subtract the price of a cucumber from the price of a watermelon.

$4.64 - $1.47 = $3.17

A watermelon costs $3.17 more than a cucumber.


Question: The manager of a candy factory looked at a report on the number of jelly beans made each day. How many more jelly beans did the factory make on Tuesday than on Sunday?

Answer: 4,131

Day | Number of jelly beans
Friday | 1,514
Saturday | 6,694
Sunday | 3,598
Monday | 4,608
Tuesday | 7,729

Solution:
Find the numbers in the table.

Tuesday: 7,729
Sunday: 3,598

Now subtract: 7,729 - 3,598 = 4,131.

The factory made 4,131 more jelly beans on Tuesday.


Question: The librarian at the public library counted the number of books on each shelf. What is the largest number of books?

Answer: 90

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

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

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

The largest number of books is 90 books.


Question: Look at the table. Then answer the question. At a price of $1,005, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $1,005, 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: Look at the following schedule. Mike is at the shopping mall. If he wants to arrive at the science museum at 1.15 P.M., what time should he get on the train?

Choices:
- 10:15 A.M.
- 1:00 P.M.
- 11:30 A.M.
- 11:45 A.M.

Answer: 10:15 A.M.

post office
library
shopping mall
zoo
swimming pool
town square
city hall
elementary school
science museum

Solution:
Look at the row for the science museum. Find the train that arrives at the science museum at 1:15 P. M.

Look up the column until you find the row for the shopping mall.

Mike should get on the train at 10:15 A. M.


Question: Malia spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Tuesday and Wednesday?

Answer: 3

Day | Number of shells
Monday | 0
Tuesday | 6
Wednesday | 9
Thursday | 8
Friday | 0

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 shells - 6 shells}{1 day}
 = \frac{3 shells}{1 day}
 = 3 shells per day
The rate of change between Tuesday and Wednesday was 3 shells per day.


Question: How much more does a palm tree magnet cost than a plastic crab?

Answer: 0.19

pink flamingo pen | $0.14
beach postcard | $0.83
palm tree magnet | $0.65
plastic crab | $0.46

pink flamingo pen
beach postcard
palm tree magnet
plastic crab

Solution:
Subtract the price of a plastic crab from the price of a palm tree magnet.

$0.65 - $0.46 = $0.19

A palm tree magnet costs $0.19 more than a plastic crab.


Question: Mr. Morrison, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 28 pounds?

Answer: 20

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

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

You counted 20 leaves, which are blue in the stem-and-leaf plots above. 20 people lifted at least 28 pounds.


Question: Look at the following schedule. How long does it take to get from the shopping mall to the hospital?

Choices:
- 1 hour
- 15 minutes
- 45 minutes
- 30 minutes

Answer: 1 hour

city hall
shopping mall
swimming pool
art museum
hospital
library
post office
soccer field
university

Solution:
Read the times in the first column for the shopping mall and the hospital.

Find the elapsed time between 10:30 A. M. and 11:30 A. M. The elapsed time is 1 hour.

No matter which column of times you look at, the elapsed time is always 1 hour.


Question: How much money does Leslie need to buy a blue glass bead and a brown cat's eye bead?

Answer: 0.11

brown cat's eye bead | $0.05
white bead with black spots | $0.08
small pink bead | $0.06
long red bead | $0.07
blue glass bead | $0.06

brown cat's eye bead
white bead with black spots
small pink bead
long red bead
blue glass bead

Solution:
Add the price of a blue glass bead and the price of a brown cat's eye bead:

$0.06 + $0.05 = $0.11

Leslie needs $0.11.


Question: How much money does Jonathan need to buy a soccer ticket and a play ticket?

Answer: 71

soccer ticket | $39
boat show ticket | $17
basketball ticket | $51
play ticket | $32

soccer ticket
boat show ticket
basketball ticket
play ticket

Solution:
Add the price of a soccer ticket and the price of a play ticket:

$39 + $32 = $71

Jonathan needs $71.


Question: Look at the following schedule. Which event ends at 10.25 P.M.?

Choices:
- badminton event
- cycling event
- tennis event
- rowing event

Answer: cycling event

badminton swimming rowing cycling tennis

Solution: Find 10:25 P. M. on the schedule. The cycling event ends at 10:25 P. M.


Question: How much would it cost to buy 1 kilogram of tuna and 2 kilograms of catfish?

Answer: 9

catfish | $3 per kg
halibut | $4 per kg
tuna | $3 per kg
tilapia | $2 per kg
salmon | $3 per kg

$3 per kg
$4 per kg
$3 per kg
$2 per kg
$3 per kg

Solution:
Find the cost of the tuna. Multiply:

$3 × 1 = $3

Find the cost of the catfish. Multiply:

$3 × 2 = $6

Now find the total cost by adding:

$3 + $6 = $9

It would cost $9.


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

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{12 - 20}{1 - 0}
 = \frac{-8}{1}
 = -8
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{4 - 12}{2 - 1}
 = \frac{-8}{1}
 = -8
The two rates of change are the same.
8.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: Joseph kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2009 and 2010?

Answer: -13

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{19 games - 32 games}{2010 - 2009}
 = \frac{19 games - 32 games}{1 year}
 = \frac{-13 games}{1 year}
 = -13 games per year
The rate of change between 2009 and 2010 was - 13 games per year.


Question: How much money does Reid need to buy a smooth piece of sea glass and a piece of black mica?

Answer: 0.16

smooth piece of sea glass | $0.08
piece of black obsidian | $0.03
piece of smoky quartz | $0.01
piece of black mica | $0.08

smooth piece of sea glass
piece of black obsidian
piece of smoky quartz
piece of black mica

Solution:
Add the price of a smooth piece of sea glass and the price of a piece of black mica:

$0.08 + $0.08 = $0.16

Reid needs $0.16.


Question: A stock broker followed the stock prices of a certain set of companies. Which company's stock cost more on Wednesday, Watson and Partners or White and Company?

Choices:
- White and Company
- Watson and Partners

Answer: White and Company

Company | Wednesday | Thursday
Watson and Partners | $17 | $18
White and Company | $19 | $16
Jonas Incorporated | $20 | $18

Watson and Partners
White and Company
Jonas Incorporated

Solution:
Find the Wednesday column. Compare the numbers in this column for Watson and Partners and White and Company.

$19.00 is more than $17.00. On Wednesday, White and Company's stock cost more.


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

Answer: 5

Name | Number of states
Edward | 7
Juan | 4
Kimberly | 2
Regan | 5
Zoe | 8
Colton | 3
Mark | 3
Hunter | 8

Edward Juan Kimberly Regan Zoe Colton Mark Hunter

Solution:
Read the numbers from the table.

7, 4, 2, 5, 8, 3, 3, 8

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

7 + 4 + 2 + 5 + 8 + 3 + 3 + 8 = 40

Now divide the sum by the number of numbers:

40 ÷ 8 = 5

The mean is 5.


Question: Look at the table. Then answer the question. At a price of $260, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $260, 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: An archer recalled how many times he hit the bull's-eye in the past 5 days. What is the median of the numbers?

Answer: 3

Day | Number of bull's-eyes
Monday | 4
Tuesday | 3
Wednesday | 8
Thursday | 1
Friday | 3

Solution:
Read the numbers from the table.

4, 3, 8, 1, 3

First, arrange the numbers from least to greatest:

1, 3, 3, 4, 8

Now find the number in the middle.

1, 3, 3, 4, 8

The number in the middle is 3.

The median is 3.


Question: A pair of Fulton High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2013 and 2014?

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{8 games - 15 games}{2014 - 2013}
 = \frac{8 games - 15 games}{1 year}
 = \frac{-7 games}{1 year}
 = -7 games per year
The rate of change between 2013 and 2014 was - 7 games per year.


Question: Look at the following schedule. Lily got on the bus at the famous bridge at 1.15 P.M. What time will she get to the science museum?

Choices:
- 12:00 P.M.
- 2:15 P.M.
- 1:15 P.M.
- 12:15 P.M.

Answer: 2:15 P.M.

old building
university campus
skyscraper
famous bridge
science museum

Solution:
Find 1:15 P. M. in the row for the famous bridge. That column shows the schedule for the bus that Lily is on.

Look down the column until you find the row for the science museum.

Lily will get to the science museum at 2:15 P. M.


Question: An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had exactly 81 red buttons?

Answer: 2

Solution:
For the number 81, the stem is 8, and the leaf is 1. Find the row where the stem is 8. In that row, count all the leaves equal to 1.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 bags had exactly 81 red buttons.


Question: The staff of a newspaper examined the number of copies sold over the past 4 days. On which day were the fewest copies sold?

Choices:
- Tuesday
- Wednesday
- Thursday
- Friday

Answer: Tuesday

Day | Number of newspapers
Tuesday | 337
Wednesday | 375
Thursday | 357
Friday | 353

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 337.

Now find the corresponding day. Tuesday corresponds to 337.


Question: Each roof has 5 seagulls. How many seagulls are on 3 roofs?

Answer: 15

Number of roofs | Number of seagulls
1 | 5
2 | 10
3 | ?

Solution: Count by fives. Use the chart: there are 15 seagulls on 3 roofs.


Question: Winchester Flooring tracked the number of broken tiles in each shipment it received last year. What is the largest number of broken tiles?

Answer: 90

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

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

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

The largest number of broken tiles is 90 broken tiles.


Question: For a science fair project, Mackenzie tracked the temperature each day. How many temperature readings were at least 10°C but less than 18°C?

Answer: 4

Solution:
Find the row with stem 1. Count all the leaves greater than or equal to 0 and less than 8.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 temperature readings were at least 10°C but less than 18°C.


Question: Fans of the Winchester 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: -13

Games won by the Winchester 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{26 games - 39 games}{2017 - 2016}
 = \frac{26 games - 39 games}{1 year}
 = \frac{-13 games}{1 year}
 = -13 games per year
The rate of change between 2016 and 2017 was - 13 games per year.


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

Choices:
- adding an upgrade
- buying a used phone

Answer: buying a used phone

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

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


Question: How much money does Larry need to buy a mystery novel, a poetry book, and a picture book?

Answer: 22

geography book | $1.00
picture book | $8.00
poetry book | $9.00
science-fiction book | $6.00
mystery novel | $5.00
coloring book | $1.00

geography book
picture book
poetry book
science-fiction book
mystery novel
coloring book

Solution:
Find the total cost of a mystery novel, a poetry book, and a picture book.

$5.00 + $9.00 + $8.00 = $22.00

Larry needs $22.00.


Question: A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. How many people drew a number less than 8?

Answer: 26

Solution:
Find the rows for 4, 5, 6, and 7. Add the frequencies for these rows.

Add:

1 + 9 + 2 + 14 = 26

26 people drew a number less than 8.


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

Choices:
- yes
- no

Answer: yes

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

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


Question: A hot dog stand kept track of the number of hot dogs sold each day. What is the range of the numbers?

Answer: 3

Day | Number of hot dogs
Saturday | 12
Sunday | 12
Monday | 11
Tuesday | 13
Wednesday | 10
Thursday | 10
Friday | 10

Saturday Sunday Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

12, 12, 11, 13, 10, 10, 10

First, find the greatest number. The greatest number is 13.

Next, find the least number. The least number is 10.

Subtract the least number from the greatest number:

13 − 10 = 3

The range is 3.


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

Answer: 12

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

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


Question: A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had exactly 76 broken plates?

Answer: 3

Solution:
For the number 76, the stem is 7, and the leaf is 6. Find the row where the stem is 7. In that row, count all the leaves equal to 6.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 shipments had exactly 76 broken plates.


Question: Brian has a part-time job at a cell phone store. Phone sales were so good last year that Brian earned an end-of-year bonus. Here are Brian's yearly finances. What was Brian's net income for the year?

Answer: 17,308

Wages from the cell phone store | $19,637
Bonus before taxes | $1,200
Income tax and other payroll taxes | $3,529

Wages from the cell phone store
Bonus before taxes
Income tax and other payroll taxes

Solution:
Step 1: Find Brian's gross income.
Add Brian's wages and his bonus.
$19,637 + $1,200 = $20,837
Brian's gross income for the year was $20,837.
Step 2: Find Brian's net income.
Brian's gross income for the year was $20,837, and his total payroll taxes were $3,529.
Subtract to find Brian's net income.
$20,837 - $3,529 = $17,308
Brian's net income for the year was $17,308.


Question: This morning, Mr. Nelson released the scores from last week's spelling test. What is the highest score?

Answer: 68

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 6.

Now find the highest leaf in the last row. The highest leaf is 8.

The highest score has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.

The highest score is 68 points.


Question: Chloe has $37.00. Does she have enough to buy a boat show ticket and a ballet ticket?

Choices:
- yes
- no

Answer: yes

boat show ticket | $11.00
play ticket | $35.00
figure skating ticket | $39.00
airplane show ticket | $22.00
ballet ticket | $25.00
concert ticket | $87.00

boat show ticket
play ticket
figure skating ticket
airplane show ticket
ballet ticket
concert ticket

Solution:
Add the price of a boat show ticket and the price of a ballet ticket:

$11.00 + $25.00 = $36.00

$36.00 is less than $37.00. Chloe does have enough money.


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

Choices:
- January
- February
- March
- April

Answer: February

Month | Number of pages
January | 221
February | 252
March | 251
April | 215

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 252.

Now find the corresponding month. February corresponds to 252.


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

Answer: 50

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

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


Question: Some teachers compared how many years they have been teaching. Who has been teaching the longest?

Choices:
- Miss Watson
- Ms. Yamamoto
- Mr. Gutierrez
- Mr. Boone

Answer: Mr. Boone

Teacher | Number of years
Miss Watson | 16
Ms. Yamamoto | 10
Mr. Gutierrez | 12
Mr. Boone | 17

Miss Watson
Ms. Yamamoto
Mr. Gutierrez
Mr. Boone

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 17.

Now find the corresponding teacher. Mr. Boone corresponds to 17.


Question: An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. Per capita, how much more aid did Pakistan receive in 1980 than in 1990?

Answer: 4

Country | 1980 | 1990
Algeria | $9 | $10
Afghanistan | $2 | $7
Libya | $5 | $5
Pakistan | $14 | $10

Country Algeria Afghanistan Libya Pakistan

Solution:
Find the Pakistan row. Find the numbers in this row for 1980 and 1990.

1980: $14.00
1990: $10.00

Now subtract:

$14.00 − $10.00 = $4.00

Per capita, Pakistan received $4 more in aid in 1980 than in 1990.


Question: How much money does Xavier need to buy a navy blue bath mat and 8 flannel sheets?

Answer: 139

pillow | $14.00
fleece blanket | $19.00
quilt | $33.00
flannel sheet | $15.00
navy blue bath mat | $19.00

pillow
fleece blanket
quilt
flannel sheet
navy blue bath mat

Solution:
Find the cost of 8 flannel sheets.

$15.00 × 8 = $120.00

Now find the total cost.

$19.00 + $120.00 = $139.00

Xavier needs $139.00.


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

Answer: 5

Teacher | Number of computers
Ms. Cohen | 6
Mr. Morales | 2
Miss Murphy | 4
Mr. Watson | 5
Mrs. Rossi | 5

Ms. Cohen
Mr. Morales
Miss Murphy
Mr. Watson
Mrs. Rossi

Solution:
Read the numbers from the table.

6, 2, 4, 5, 5

First, arrange the numbers from least to greatest:

2, 4, 5, 5, 6

Now find the number in the middle.

2, 4, 5, 5, 6

The number in the middle is 5.

The median is 5.


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

Answer: 8

Day | Number of people
Monday | 6
Tuesday | 10
Wednesday | 8
Thursday | 5
Friday | 9

Solution:
Read the numbers from the table.

6, 10, 8, 5, 9

First, arrange the numbers from least to greatest:

5, 6, 8, 9, 10

Now find the number in the middle.

5, 6, 8, 9, 10

The number in the middle is 8.

The median is 8.


Question: Look at the following schedule. Larry is at the landmark sculpture. If he wants to arrive at the skyscraper at 1.30 P.M., what time should he get on the bus?

Choices:
- 1:30 P.M.
- 11:00 A.M.
- 10:30 A.M.
- 1:00 P.M.

Answer: 1:00 P.M.

governor's mansion
historic house
science museum
university campus
landmark sculpture
skyscraper

Solution:
Look at the row for the skyscraper. Find the bus that arrives at the skyscraper at 1:30 P. M.

Look up the column until you find the row for the landmark sculpture.

Larry should get on the bus at 1:00 P. M.


Question: A reporter looked through her notebook to remember how many people she had interviewed in the past 6 days. What is the range of the numbers?

Answer: 12

Day | Number of people
Thursday | 7
Friday | 16
Saturday | 19
Sunday | 15
Monday | 16
Tuesday | 7

Thursday Friday Saturday Sunday Monday Tuesday

Solution:
Read the numbers from the table.

7, 16, 19, 15, 16, 7

First, find the greatest number. The greatest number is 19.

Next, find the least number. The least number is 7.

Subtract the least number from the greatest number:

19 − 7 = 12

The range is 12.


Question: How much money does Lena need to buy a four-inch nail, an elastic band, and a brass clip?

Answer: 0.18

four-inch nail | $0.04
small metal hook | $0.03
brass clip | $0.08
elastic band | $0.06

four-inch nail
small metal hook
brass clip
elastic band

Solution:
Find the total cost of a four-inch nail, an elastic band, and a brass clip.

$0.04 + $0.06 + $0.08 = $0.18

Lena needs $0.18.


Question: A county agency recorded the money donated to several charitable causes over time. In June, which cause raised the most money?

Choices:
- hunger
- animals
- medical research

Answer: animals

Cause | May | June
Animals | $10 | $13
Hunger | $4 | $7
Medical research | $20 | $7

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

The greatest number is $13.00, which is in the Animals row. In June, the most money was raised for animals.