Question: Ryan wants to buy 5 pounds of dried pear. How much will he spend?

Answer: 34.35

banana chips | $6.95/pound
raisins | $5.49/pound
dried mango | $6.32/pound
dried pineapple | $2.22/pound
dried apple | $6.89/pound
dried pear | $6.87/pound

banana chips
raisins
dried mango
dried pineapple
dried apple
dried pear

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

$6.87 × 5 = $34.35

He will spend $34.35.


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{1 - 0}{6 - 5}
 = \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{4 - 1}{7 - 6}
 = \frac{3}{1}
 = 3
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: Sharon buys 4/5 of a pound of scallops. How much does she spend?

Answer: 7.20

shrimp | $7 per pound
lobster meat | $12 per pound
oysters | $6 per pound
mussels | $10 per pound
crab meat | $9 per pound
scallops | $9 per pound

shrimp
lobster meat
oysters
mussels
crab meat
scallops

$7 per pound
$12 per pound
$6 per pound
$10 per pound
$9 per pound
$9 per pound

Solution:
Find the cost of the scallops. Multiply the price per pound by the number of pounds.
$9 × \frac{4}{5} = $9 × 0.8 = $7.20
She spends $7.20.


Question: Brianna has $0.70. Does she have enough to buy a piece of black mica and a piece of green slate?

Choices:
- yes
- no

Answer: yes

smooth piece of marble | $0.27
piece of green slate | $0.37
smooth piece of sea glass | $0.44
piece of black mica | $0.29

smooth piece of marble
piece of green slate
smooth piece of sea glass
piece of black mica

Solution:
Add the price of a piece of black mica and the price of a piece of green slate:

$0.29 + $0.37 = $0.66

$0.66 is less than $0.70. Brianna does have enough money.


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

Answer: 57

Number of trips | Frequency
1 | 10
2 | 5
3 | 19
4 | 0
5 | 16
6 | 7

Solution:
Add the frequencies for each row.

Add:

10 + 5 + 19 + 0 + 16 + 7 = 57

There are 57 people in all.


Question: A fan carefully recorded the number of goals and misses made by different soccer players. Which player had the fewest misses?

Choices:
- center midfielder
- striker
- right forward
- right midfielder

Answer: center midfielder

Player | Misses | Goals
Striker | 13 | 15
Right midfielder | 5 | 9
Right forward | 12 | 12
Center midfielder | 1 | 11

Striker
Right midfielder
Right forward
Center midfielder

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

The least number is 1, which is in the Center midfielder row. The center midfielder had the fewest misses.


Question: The school district compared how many swings each elementary school has. What is the mode of the numbers?

Answer: 9

School | Number of swings
Boyd Elementary | 6
Valley Elementary | 9
Hillside Elementary | 8
Canyon Elementary | 9
Jefferson Elementary | 9
Newberry Elementary | 8

Boyd Elementary
Valley Elementary
Hillside Elementary
Canyon Elementary
Jefferson Elementary
Newberry Elementary

Solution:
Read the numbers from the table.

6, 9, 8, 9, 9, 8

First, arrange the numbers from least to greatest:

6, 8, 8, 9, 9, 9

Now count how many times each number appears.

6 appears 1 time.
8 appears 2 times.
9 appears 3 times.

The number that appears most often is 9.

The mode is 9.


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

Answer: 18

Day | Number of hot dogs
Saturday | 11
Sunday | 18
Monday | 23
Tuesday | 21
Wednesday | 16
Thursday | 28
Friday | 11

Saturday Sunday Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

11, 18, 23, 21, 16, 28, 11

First, arrange the numbers from least to greatest:

11, 11, 16, 18, 21, 23, 28

Now find the number in the middle.

11, 11, 16, 18, 21, 23, 28

The number in the middle is 18.

The median is 18.


Question: Maya wrote down how many cups of lemonade she sold in the past 6 days. What is the range of the numbers?

Answer: 9

Day | Number of cups
Tuesday | 6
Wednesday | 5
Thursday | 3
Friday | 10
Saturday | 1
Sunday | 4

Tuesday Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

6, 5, 3, 10, 1, 4

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

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

Subtract the least number from the greatest number:

10 − 1 = 9

The range is 9.


Question: The elementary school art teacher wrote down how many flower pots each child painted last week. How many children painted exactly 5 flower pots?

Answer: 15

Flower pots painted | Frequency
0 | 9
1 | 5
2 | 11
3 | 8
4 | 13
5 | 15
6 | 17

Solution:
Find the row for 5 flower pots and read the frequency. The frequency is 15.

15 children painted exactly 5 flower pots.


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

Answer: 15

State | 1990 | 2000
New Mexico | 12 | 15
Nevada | 10 | 18
Wyoming | 4 | 5
North Dakota | 9 | 9
Montana | 5 | 6

State
New Mexico
Nevada
Wyoming
North Dakota
Montana

Solution:
First, find the row for New Mexico. Then find the number in the 2000 column.

This number is 15. In 2000, New Mexico had 15 people per square mile.


Question: Mr. Barton, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 66 pounds?

Answer: 4

Solution:
Find the row with stem 6. Count all the leaves greater than or equal to 6.

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

You counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 people lifted at least 66 pounds.


Question: A pet store owner had his staff count the number of fish in each tank. How many tanks have fewer than 70 fish?

Answer: 17

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

You counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 tanks have fewer than 70 fish.


Question: Some friends compared the sizes of their sticker collections. What is the median of the numbers?

Answer: 69

Name | Number of stickers
Kenji | 72
Sophie | 68
Felipe | 69
Aiden | 69
Martin | 69
Desmond | 70
Carrie | 73

Kenji Sophie Felipe Aiden Martin Desmond Carrie

Solution:
Read the numbers from the table.

72, 68, 69, 69, 69, 70, 73

First, arrange the numbers from least to greatest:

68, 69, 69, 69, 70, 72, 73

Now find the number in the middle.

68, 69, 69, 69, 70, 72, 73

The number in the middle is 69.

The median is 69.


Question: The transportation company tracked the number of train tickets sold in the past 7 days. What is the range of the numbers?

Answer: 9

Day | Number of tickets
Wednesday | 96
Thursday | 96
Friday | 93
Saturday | 99
Sunday | 91
Monday | 93
Tuesday | 100

Wednesday Thursday Friday Saturday Sunday Monday Tuesday

Solution:
Read the numbers from the table.

96, 96, 93, 99, 91, 93, 100

First, find the greatest number. The greatest number is 100.

Next, find the least number. The least number is 91.

Subtract the least number from the greatest number:

100 − 91 = 9

The range is 9.


Question: A reporter looked through his notebook to remember how many people he had interviewed in the past 7 days. What is the range of the numbers?

Answer: 7

Day | Number of people
Saturday | 3
Sunday | 4
Monday | 7
Tuesday | 4
Wednesday | 10
Thursday | 9
Friday | 8

Solution:
Read the numbers from the table.

3, 4, 7, 4, 10, 9, 8

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: Sidney is planning a large dinner party. She records how many pieces of silverware she needs in a frequency chart. How many pieces of silverware does Sidney need for the party?

Answer: 64

Type | Frequency
fork | 24
knife | 20
spoon | 20

Solution:
The frequencies tell you how many of each type of silverware Sidney needs. To find the total number of pieces, add up all the frequencies.
24 + 20 + 20 = 64
Sidney needs 64 pieces of silverware.


Question: A cookie factory monitored the number of broken cookies per pack yesterday. What is the smallest number of broken cookies?

Answer: 30

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 3.

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

The smallest number of broken cookies has a stem of 3 and a leaf of 0. Write the stem first, then the leaf: 30.

The smallest number of broken cookies is 30 broken cookies.


Question: Fans of the Lakeside 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: 2

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{49 games - 47 games}{2017 - 2016}
 = \frac{49 games - 47 games}{1 year}
 = \frac{2 games}{1 year}
 = 2 games per year
The rate of change between 2016 and 2017 was 2 games per year.


Question: Mrs. Monroe, the science teacher, informed her students of their scores on Monday's test. How many students scored exactly 27 points?

Answer: 1

Solution:
For the number 27, the stem is 2, and the leaf is 7. Find the row where the stem is 2. In that row, count all the leaves equal to 7.

You counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly27 points.


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

Choices:
- yes
- no

Answer: no

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

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

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

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


Question: Josie went on a bird watching trip and jotted down the number of birds she saw each day. What is the median of the numbers?

Answer: 79

Day | Number of birds
Tuesday | 81
Wednesday | 79
Thursday | 79
Friday | 77
Saturday | 79

Tuesday Wednesday Thursday Friday Saturday

Solution:
Read the numbers from the table.

81, 79, 79, 77, 79

First, arrange the numbers from least to greatest:

77, 79, 79, 79, 81

Now find the number in the middle.

77, 79, 79, 79, 81

The number in the middle is 79.

The median is 79.


Question: How much more does a smooth piece of marble cost than a piece of black mica?

Answer: 0.17

piece of copper | $0.64
smooth piece of marble | $0.95
piece of black mica | $0.78
smooth piece of sea glass | $0.52
yellow tiger's eye | $0.49
pumice stone | $0.56

piece of copper
smooth piece of marble
piece of black mica
smooth piece of sea glass
yellow tiger's eye
pumice stone

Solution:
Subtract the price of a piece of black mica from the price of a smooth piece of marble.

$0.95 - $0.78 = $0.17

A smooth piece of marble costs $0.17 more than a piece of black mica.


Question: Henry kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2013 and 2014?

Answer: 4

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{20 games - 16 games}{2014 - 2013}
 = \frac{20 games - 16 games}{1 year}
 = \frac{4 games}{1 year}
 = 4 games per year
The rate of change between 2013 and 2014 was 4 games per year.


Question: How much money does Leslie need to buy a piece of smoky quartz and a piece of black obsidian?

Answer: 0.06

piece of black obsidian | $0.01
piece of smoky quartz | $0.05
piece of copper | $0.01
pumice stone | $0.06

piece of black obsidian
piece of smoky quartz
piece of copper
pumice stone

Solution:
Add the price of a piece of smoky quartz and the price of a piece of black obsidian:

$0.05 + $0.01 = $0.06

Leslie needs $0.06.


Question: How much money does Dave need to buy a shirt signed by a famous soccer player, a photograph signed by a famous movie star, and a jersey signed by a famous hockey player?

Answer: 8,696

bat signed by a famous baseball player | $9,504.00
book signed by a famous author | $9,035.00
shirt signed by a famous soccer player | $1,785.00
photograph signed by a famous movie star | $4,463.00
jersey signed by a famous hockey player | $2,448.00

Solution:
Find the total cost of a shirt signed by a famous soccer player, a photograph signed by a famous movie star, and a jersey signed by a famous hockey player.

$1,785.00 + $4,463.00 + $2,448.00 = $8,696.00

Dave needs $8,696.00.


Question: Samantha counted the number of words per page in her new book. How many pages have fewer than 90 words?

Answer: 20

Solution:
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 plot above. 20 pages have fewer than 90 words.


Question: A printing shop kept a log of how many sheets of paper were used in the past 4 days. How many more sheets of paper did the printing shop use on Sunday than on Saturday?

Answer: 261

Day | Number of sheets of paper
Saturday | 110
Sunday | 371
Monday | 241
Tuesday | 809

Solution:
Find the numbers in the table.

Sunday: 371
Saturday: 110

Now subtract: 371 - 110 = 261.

The printing shop used 261 more sheets of paper on Sunday.


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 $830, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $830, 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 box has 2 popsicles. How many popsicles are in 5 boxes?

Answer: 10

Number of boxes | Number of popsicles
1 | 2
2 | 4
3 | 6
4 | 8
5 | ?

Solution: Count by twos. Use the chart: there are 10 popsicles in 5 boxes.


Question: Layla looked at her calendar to figure out how much time she spent babysitting each month. What is the mean of the numbers?

Answer: 37

Month | Hours
December | 35
January | 38
February | 37
March | 39
April | 36
May | 38
June | 35
July | 38

December January February March April May June July

Solution:
Read the numbers from the table.

35, 38, 37, 39, 36, 38, 35, 38

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

35 + 38 + 37 + 39 + 36 + 38 + 35 + 38 = 296

Now divide the sum by the number of numbers:

296 ÷ 8 = 37

The mean is 37.


Question: Kendra 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: -1

Day | Number of shells
Sunday | 0
Monday | 1
Tuesday | 2
Wednesday | 1
Thursday | 1

Sunday Monday Tuesday Wednesday Thursday

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{1 shell - 2 shells}{1 day}
 = \frac{-1 shells}{1 day}
 = -1 shells per day
The rate of change between Tuesday and Wednesday was - 1 shells per day.


Question: A veterinarian weighed all the dogs that visited his office last month. How many dogs weighed less than 89 pounds?

Answer: 16

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

In the row with stem 8, count all the leaves less than 9.

You counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 dogs weighed less than 89 pounds.


Question: The aquarium's records showed how many tickets were sold in the past 3 days. How many tickets did the aquarium sell in all on Thursday and Friday?

Answer: 654

Day | Number of tickets
Thursday | 554
Friday | 100
Saturday | 150

Solution:
Find the numbers in the table.

Thursday: 554
Friday: 100

Now add: 554 + 100 = 654.

The aquarium sold 654 tickets in all on Thursday and Friday.


Question: Students who graduate from Malone University can receive Latin honors if they excelled in their studies. What fraction of students receiving honors graduated magna cum laude? Simplify your answer.

Answer: 54/143

Rank | Number of graduates
Cum laude | 19
Summa cum laude | 70
Magna cum laude | 54

Cum laude
Summa cum laude
Magna cum laude

Solution:
Find how many students graduated magna cum laude.

54

Find how many students graduated with honors in total.

19 + 70 + 54 = 143

Divide 54 by143.

\frac{54}{143}

\frac{54}{143} of students graduated magna cum laude.


Question: Deb kept track of the number of characters in each book she read. How many books had fewer than 37 characters?

Answer: 9

Solution:
Count all the leaves in the row with stem 2.

In the row with stem 3, count all the leaves less than 7.

You counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 books had fewer than 37 characters.


Question: The employees at Valentina's Construction monitored the number of cracked window panes in each shipment they received. What is the largest number of cracked window panes?

Answer: 72

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

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

The largest number of cracked window panes has a stem of 7 and a leaf of 2. Write the stem first, then the leaf: 72.

The largest number of cracked window panes is 72 cracked window panes.


Question: Some students compared how many pairs of boots they own. How many students own more than 1 pair of boots?

Answer: 27

Number of pairs of boots | Frequency
0 | 7
1 | 13
2 | 14
3 | 6
4 | 3
5 | 4

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

Add:

14 + 6 + 3 + 4 = 27

27 students own more than 1 pair of boots.


Question: An insurance company compiled the number of doctor visits made by some patients last year. How many patients went to the doctor fewer than 2 times?

Answer: 8

Number of trips | Frequency
0 | 3
1 | 5
2 | 10
3 | 15
4 | 11

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

Add:

3 + 5 = 8

8 patients went to the doctor fewer than 2 times.


Question: Look at the table. Then answer the question. At a price of $1,245, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $1,245, 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: A food critic counted the number of menu items at each restaurant in town. What is the smallest number of menu items?

Answer: 17

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 7.

The smallest number of menu items has a stem of 1 and a leaf of 7. Write the stem first, then the leaf: 17.

The smallest number of menu items is 17 menu items.


Question: Doug kept track of how many kilometers he walked during the past 6 days. What is the mean of the numbers?

Answer: 5

Day | Kilometers
Tuesday | 0
Wednesday | 5
Thursday | 9
Friday | 4
Saturday | 5
Sunday | 7

Solution:
Read the numbers from the table.

0, 5, 9, 4, 5, 7

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

0 + 5 + 9 + 4 + 5 + 7 = 30

Now divide the sum by the number of numbers:

30 ÷ 6 = 5

The mean is 5.


Question: How much money does Tanner need to buy 6 green salads?

Answer: 31.32

grilled eggplant | $5.41
green salad | $5.22
spaghetti and meatballs | $6.50
cheese pizza | $6.47
garlic bread | $2.35

grilled eggplant
green salad
spaghetti and meatballs
cheese pizza
garlic bread

Solution:
Find the total cost of 6 green salads by multiplying 6 times the price of a green salad.

$5.22 × 6 = $31.32

Tanner needs $31.32.


Question: Mrs. Barton told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2012 and 2013?

Answer: -1

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{12 rounds - 13 rounds}{2013 - 2012}
 = \frac{12 rounds - 13 rounds}{1 year}
 = \frac{-1 rounds}{1 year}
 = -1 rounds per year
The rate of change between 2012 and 2013 was - 1 rounds per year.


Question: Trisha graphed the temperature at noon for 5 days. What is the median of the numbers?

Answer: 10

Day | Temperature (Â°C)
Monday | 10
Tuesday | 10
Wednesday | 5
Thursday | 6
Friday | 10

Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

10, 10, 5, 6, 10

First, arrange the numbers from least to greatest:

5, 6, 10, 10, 10

Now find the number in the middle.

5, 6, 10, 10, 10

The number in the middle is 10.

The median is 10.


Question: A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the fewest bags of popcorn?

Choices:
- Tuesday
- Wednesday
- Thursday
- Friday

Answer: Friday

Day | Number of bags of popcorn
Tuesday | 11
Wednesday | 13
Thursday | 14
Friday | 10

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.

Now find the corresponding day. Friday corresponds to 10.


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{9 - 18}{15 - 14}
 = \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 - 18}{16 - 14}
 = \frac{-18}{2}
 = -9
The two rates of change are the same.
9.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: How much money does Annie need to buy a blue tank top and a denim skirt?

Answer: 9

pair of shorts | $6
plaid scarf | $5
black skirt | $6
blue tank top | $3
denim skirt | $6
white polo shirt | $6

pair of shorts
plaid scarf
black skirt
blue tank top
denim skirt
white polo shirt

Solution:
Add the price of a blue tank top and the price of a denim skirt:

$3 + $6 = $9

Annie needs $9.


Question: Ellen paid attention to how many flowers she planted in the garden during the past 4 days. On which day did Ellen plant the most flowers?

Choices:
- Wednesday
- Thursday
- Friday
- Saturday

Answer: Thursday

Day | Number of flowers
Wednesday | 34
Thursday | 37
Friday | 31
Saturday | 36

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 37.

Now find the corresponding day. Thursday corresponds to 37.


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:
- Saturday
- Sunday
- Monday
- Tuesday

Answer: Tuesday

Day | Number of customers
Saturday | 45
Sunday | 49
Monday | 42
Tuesday | 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. Tuesday corresponds to 41.


Question: The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 34 plants?

Answer: 12

Solution:
Find the row with stem 3. Count all the leaves greater than or equal to 4.

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

You counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 gardens have at least 34 plants.


Question: At family beach day, the Wildgrove Recreation Department offered a range of activities. Which activity are the fewest people doing?

Choices:
- playing volleyball
- walking
- collecting shells
- eating lunch

Answer: playing volleyball

Activity | Parents | Children
Collecting shells | 19 | 6
Making sand castles | 5 | 12
Walking | 6 | 9
Eating lunch | 13 | 6
Playing volleyball | 2 | 8

Collecting shells
Making sand castles
Walking
Eating lunch
Playing volleyball

Solution:
Add the numbers in each row.

collecting shells: 19 + 6 = 25
making sand castles: 5 + 12 = 17
walking: 6 + 9 = 15
eating lunch: 13 + 6 = 19
playing volleyball: 2 + 8 = 10

The least sum is 10, which is the total for the Playing volleyball row. The fewest people are playing volleyball.


Question: Desmond counted the total number of shells collected by his friends during a walk on the beach. How many people are there in all?

Answer: 24

Seashells found | Frequency
0 | 0
1 | 7
2 | 5
3 | 12

Solution:
Add the frequencies for each row.

Add:

0 + 7 + 5 + 12 = 24

There are 24 people in all.


Question: Janelle has $0.08. Does she have enough to buy a coyote stamp and a piece of bubble wrap?

Choices:
- yes
- no

Answer: no

piece of bubble wrap | $0.07
duck stamp | $0.09
rose stamp | $0.07
coyote stamp | $0.02

piece of bubble wrap
duck stamp
rose stamp
coyote stamp

Solution:
Add the price of a coyote stamp and the price of a piece of bubble wrap:

$0.02 + $0.07 = $0.09

$0.09 is more than $0.08. Janelle does not have enough money.


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

Answer: 25

Farmer | Number of sheep
Farmer Jo | 30
Farmer Dave | 25
Farmer Wendy | 30
Farmer Meghan | 27
Farmer Dan | 25
Farmer Walt | 25

Farmer Jo
Farmer Dave
Farmer Wendy
Farmer Meghan
Farmer Dan
Farmer Walt

Solution:
Read the numbers from the table.

30, 25, 30, 27, 25, 25

First, arrange the numbers from least to greatest:

25, 25, 25, 27, 30, 30

Now count how many times each number appears.

25 appears 3 times.
27 appears 1 time.
30 appears 2 times.

The number that appears most often is 25.

The mode is 25.


Question: An arcade in Ashland keeps track of which prizes its customers get with their tickets. What fraction of the prizes were model airplanes? Simplify your answer.

Answer: 16/255

Prize | Number of prizes given out
Model airplanes | 160
Whistles | 830
Yo-yos | 950
Other | 610

Solution:
Find how many prizes were model airplanes.

160

Find how many prizes were given out in total.

160 + 830 + 950 + 610 = 2,550

Divide 160 by2,550.

\frac{160}{2,550}

Reduce the fraction.

\frac{160}{2,550} → \frac{16}{255}

\frac{16}{255} of prizes were model airplanes.


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

Answer: 5

Town | Number of stores
Richmond | 6
Ashland | 4
Springfield | 9
Marion | 3
Columbia | 5
Greenwood | 3

Richmond Ashland Springfield Marion Columbia Greenwood

Solution:
Read the numbers from the table.

6, 4, 9, 3, 5, 3

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

6 + 4 + 9 + 3 + 5 + 3 = 30

Now divide the sum by the number of numbers:

30 ÷ 6 = 5

The mean is 5.


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

Answer: 34

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

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


Question: The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 10 birds but fewer than 30 birds?

Answer: 6

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

You counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 flocks had at least 10 birds but fewer than 30 birds.


Question: A toy store employee counted the number of toys in each bin in the sale section. How many bins had fewer than 54 toys?

Answer: 6

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 4.

You counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 bins had fewer than 54 toys.


Question: How much money does Clara need to buy a bottle of water and a grilled cheese sandwich?

Answer: 4.33

bag of peanuts | $1.16
brownie | $1.18
cup of coffee | $1.37
bottle of water | $1.29
grilled cheese sandwich | $3.04
bowl of fruit salad | $2.17

bag of peanuts
brownie
cup of coffee
bottle of water
grilled cheese sandwich
bowl of fruit salad

Solution:
Add the price of a bottle of water and the price of a grilled cheese sandwich:

$1.29 + $3.04 = $4.33

Clara needs $4.33.


Question: Sarah looked at the dates of the digital photos on her computer to find out how many she had taken in the past 4 days. On which day did Sarah take the most photographs?

Choices:
- Wednesday
- Thursday
- Friday
- Saturday

Answer: Friday

Day | Number of photographs
Wednesday | 86
Thursday | 84
Friday | 87
Saturday | 81

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

Now find the corresponding day. Friday corresponds to 87.


Question: A city recorded how many people rode the subway each month. How many people in total rode the subway in December and February?

Answer: 4,915

Month | Number of riders
November | 1,183
December | 1,137
January | 3,844
February | 3,778

Solution:
Find the numbers in the table.

December: 1,137
February: 3,778

Now add: 1,137 + 3,778 = 4,915.

4,915 people rode the subway in December and February.


Question: A researcher asked people how many letters they had written in the past year and recorded the results. How many people did not write letters?

Answer: 3

Letters written | Frequency
0 | 3
1 | 16
2 | 9
3 | 6

Solution:
Find the row for 0 letters and read the frequency. The frequency is 3.

3 people did not write letters.


Question: A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2016 and 2017?

Answer: -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{23 kilograms - 39 kilograms}{2017 - 2016}
 = \frac{23 kilograms - 39 kilograms}{1 year}
 = \frac{-16 kilograms}{1 year}
 = -16 kilograms per year
The rate of change between 2016 and 2017 was - 16 kilograms per year.


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

Answer: 9

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

You counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 boxes had fewer than 60 broken crayons.


Question: For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. Which number was spun the most times?

Answer: 5

Solution: Look at the frequency column. Find the greatest frequency. The greatest frequency is 17, which is in the row for 5. 5 was spun the most times.


Question: Tanner purchased 4 pounds of semisweet chocolate and 3 pounds of orange chocolate. What was the total cost?

Answer: 35.10

milk chocolate | $4.42 per pound
dark chocolate | $3.94 per pound
orange chocolate | $4.18 per pound
bittersweet chocolate | $3.95 per pound
semisweet chocolate | $5.64 per pound
white chocolate | $2.19 per pound

milk chocolate
dark chocolate
orange chocolate
bittersweet chocolate
semisweet chocolate
white chocolate

$4.42 per pound
$3.94 per pound
$4.18 per pound
$3.95 per pound
$5.64 per pound
$2.19 per pound

Solution:
Find the cost of the semisweet chocolate. Multiply:

$5.64 × 4 = $22.56

Find the cost of the orange chocolate. Multiply:

$4.18 × 3 = $12.54

Now find the total cost by adding:

$22.56 + $12.54 = $35.10

The total cost was $35.10.


Question: A donut shop recorded how many donuts it sold in the past 4 days. On which day did the shop sell the fewest donuts?

Choices:
- Friday
- Saturday
- Sunday
- Monday

Answer: Saturday

Day | Number of donuts
Friday | 443
Saturday | 438
Sunday | 484
Monday | 483

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 438.

Now find the corresponding day. Saturday corresponds to 438.


Question: A pair of Taylor 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 2020 and 2021?

Answer: 1

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{17 games - 16 games}{2021 - 2020}
 = \frac{17 games - 16 games}{1 year}
 = \frac{1 game}{1 year}
 = 1 game per year
The rate of change between 2020 and 2021 was 1 game per year.


Question: Gabby's classmates revealed how many science articles they read. What is the range of the numbers?

Answer: 8

Name | Number of science articles
Gabby | 9
Lacey | 10
Tommy | 6
Alexa | 2
Josiah | 3
Brian | 9
Dean | 9

Gabby Lacey Tommy Alexa Josiah Brian Dean

Solution:
Read the numbers from the table.

9, 10, 6, 2, 3, 9, 9

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

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

Subtract the least number from the greatest number:

10 − 2 = 8

The range is 8.


Question: Linda kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?

Answer: 5

Day | Emails
Sunday | 10
Monday | 9
Tuesday | 2
Wednesday | 5
Thursday | 10

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{10 emails - 5 emails}{1 day}
 = \frac{5 emails}{1 day}
 = 5 emails per day
The rate of change between Wednesday and Thursday was 5 emails per day.


Question: How much more does a bag of peanuts cost than an ice cream cone?

Answer: 0.05

bottle of water | $0.76
ice cream cone | $0.93
glass of lemonade | $0.31
brownie | $0.81
bag of peanuts | $0.98

bottle of water
ice cream cone
glass of lemonade
brownie
bag of peanuts

Solution:
Subtract the price of an ice cream cone from the price of a bag of peanuts.

$0.98 - $0.93 = $0.05

A bag of peanuts costs $0.05 more than an ice cream cone.


Question: How much money does Dalton need to buy a finch and a king snake?

Answer: 357

cockatoo | $207
finch | $101
chameleon | $184
king snake | $256

Solution:
Add the price of a finch and the price of a king snake:

$101 + $256 = $357

Dalton needs $357.


Question: Look at the table. Then answer the question. At a price of $155, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $155, 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: How much money does Ian need to buy a book about South America, a book about soccer, and a book about fish?

Answer: 21.70

book about soccer | $6.16
book about fish | $7.87
book about South America | $7.67
book about helicopters | $8.58

book about soccer
book about fish
book about South America
book about helicopters

Solution:
Find the total cost of a book about South America, a book about soccer, and a book about fish.

$7.67 + $6.16 + $7.87 = $21.70

Ian needs $21.70.


Question: The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 62 points?

Answer: 4

Solution:
Find the row with stem 6. Count all the leaves greater than or equal to 2.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people scored at least 62 points.


Question: How much money does Katy need to buy a tube of toothpaste and a sewing kit?

Answer: 6.60

tube of toothpaste | $3.48
bottle of shampoo | $4.87
box of bandages | $2.37
bottle of mouthwash | $1.08
sewing kit | $3.12
package of dental floss | $1.59

tube of toothpaste
bottle of shampoo
box of bandages
bottle of mouthwash
sewing kit
package of dental floss

Solution:
Add the price of a tube of toothpaste and the price of a sewing kit:

$3.48 + $3.12 = $6.60

Katy needs $6.60.


Question: A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has silver status and 1 checked bag? Simplify any fractions.

Answer: 3/10

 | 0 checked bags | 1 checked bag
Bronze status | 5 | 4
Silver status | 5 | 6

Solution:
Let A be the event "the passenger has silver status" and B be the event "the passenger has 1 checked bag".
To find the probability that a passenger has silver status and 1 checked bag, first identify the sample space and the event.
The outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the passenger has silver status and 1 checked bag".
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 passenger has silver status and 1 checked bag", so look at the table to see how many passengers have silver status and 1 checked bag.
The number of passengers who have silver status and 1 checked bag is 6.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of passengers.
5 + 5 + 4 + 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{6}{20}
 = \frac{3}{10}
The probability that a passenger has silver status and 1 checked bag is \frac{3}{10}.


Question: Bryan looked over his calendar to see how many times he had soccer practice each month. What is the median of the numbers?

Answer: 8

Month | Number of practices
October | 6
November | 4
March | 10
April | 9
May | 8

Solution:
Read the numbers from the table.

6, 4, 10, 9, 8

First, arrange the numbers from least to greatest:

4, 6, 8, 9, 10

Now find the number in the middle.

4, 6, 8, 9, 10

The number in the middle is 8.

The median is 8.


Question: During a lesson on graphing data, students in Mrs. Jayce's math class guessed a number between 1 and 5 and recorded the results. How many students are there in all?

Answer: 59

Number guessed | Frequency
1 | 11
2 | 16
3 | 7
4 | 20
5 | 5

Solution:
Add the frequencies for each row.

Add:

11 + 16 + 7 + 20 + 5 = 59

There are 59 students in all.


Question: During a lesson on graphing data, students in Mrs. Maddie's math class guessed a number between 1 and 5 and recorded the results. How many students guessed a number less than 4?

Answer: 31

Number guessed | Frequency
1 | 14
2 | 0
3 | 17
4 | 4
5 | 16

Solution:
Find the rows for 1, 2, and 3. Add the frequencies for these rows.

Add:

14 + 0 + 17 = 31

31 students guessed a number less than 4.


Question: Belle, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had at least 68 peppermint candies but fewer than 93 peppermint candies?

Answer: 5

Solution:
Find the row with stem 6. Count all the leaves greater than or equal to 8.

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

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

You counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 jars had at least 68 peppermint candies but fewer than 93 peppermint candies.


Question: Each restaurant table has 10 mustard bottles. How many mustard bottles are on 5 restaurant tables?

Answer: 50

Number of restaurant tables | Number of mustard bottles
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 mustard bottles on 5 restaurant tables.


Question: Ruben has $8.50. Does he have enough to buy a red pepper and a pumpkin?

Choices:
- yes
- no

Answer: no

cucumber | $1.30
pumpkin | $7.38
watermelon | $4.86
grapefruit | $1.20
red pepper | $1.25

cucumber
pumpkin
watermelon
grapefruit
red pepper

Solution:
Add the price of a red pepper and the price of a pumpkin:

$1.25 + $7.38 = $8.63

$8.63 is more than $8.50. Ruben does not have enough money.


Question: A county agency recorded the money donated to several charitable causes over time. How much money was raised for parks in May?

Answer: 4

Cause | May | June
Education | $4 | $9
Medical research | $7 | $7
Parks | $4 | $17
Animals | $17 | $5

Education
Medical research
Parks
Animals

Solution:
First, find the row for parks. Then find the number in the May column.

This number is $4.00. $4 was raised for parks in May.


Question: Look at the following schedule. How long does it take to get from Seagull Port to Cliff View?

Choices:
- 3 hours and 30 minutes
- 3 hours and 15 minutes
- 5 hours and 45 minutes
- 3 hours

Answer: 5 hours and 45 minutes

Crest View
Seagull Port
Foggy Port
Sandy Shores
Rocky Port
Cliff View
Beach Town
Green Harbor

Solution:
Read the times in the first column for Seagull Port and Cliff View.

Find the elapsed time between 8:30 A. M. and 2:15 P. M. The elapsed time is 5 hours and 45 minutes.

No matter which column of times you look at, the elapsed time is always 5 hours and 45 minutes.


Question: An actor was informed how many fan letters he received each day. How many more fan letters were received on Thursday than on Tuesday?

Answer: 5,464

Day | Number of fan letters
Saturday | 1,304
Monday | 5,214
Tuesday | 2,737
Wednesday | 6,902
Thursday | 8,201

Saturday Monday Tuesday Wednesday Thursday

Solution:
Find the numbers in the table.

Thursday: 8,201
Tuesday: 2,737

Now subtract: 8,201 - 2,737 = 5,464.

5,464 more fan letters were received on Thursday.


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

Answer: 1

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

Solution:
Find the rows for 0 and 1 pair of boots. Add the frequencies for these rows.

Add:

0 + 1 = 1

1 student owns fewer than 2 pairs of boots.


Question: Annie tracked how many laps she ran in the past 4 days. On which day did Annie run the fewest laps?

Choices:
- Thursday
- Friday
- Saturday
- Sunday

Answer: Sunday

Day | Number of laps
Thursday | 74
Friday | 78
Saturday | 79
Sunday | 71

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.

Now find the corresponding day. Sunday corresponds to 71.


Question: A bookstore employee looked up how many books were sold each month. How many more books did the bookstore sell in May than in February?

Answer: 139

Month | Number of books
January | 591
February | 210
March | 449
April | 796
May | 349

Solution:
Find the numbers in the table.

May: 349
February: 210

Now subtract: 349 - 210 = 139.

The bookstore sold 139 more books in May.


Question: Sadie's P.E. class participated in a push-up competition, and Sadie wrote down how many push-ups each person could do. What is the smallest number of push-ups done?

Answer: 40

Push-up competition (number of push-ups)

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 0.

The smallest number of push-ups done has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.

The smallest number of push-ups done is 40 push-ups.


Question: The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. How many people scored 10?

Answer: 6

Solution:
Find the row for 10 and read the frequency. The frequency is 6.

6 people scored 10.


Question: An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. In 1985, which country received less aid per capita, Nepal or Algeria?

Choices:
- Nepal
- Algeria

Answer: Algeria

Solution:
Find the 1985 column. Compare the numbers in this column for Nepal and Algeria.

$8.00 is less than $14.00. In 1985, Algeria received less aid per capita.


Question: A farmer wrote down how many kilograms of cherries were sold in the past 7 days. What is the median of the numbers?

Answer: 29

Day | Kilograms
Monday | 28
Tuesday | 31
Wednesday | 27
Thursday | 35
Friday | 28
Saturday | 29
Sunday | 32

Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

28, 31, 27, 35, 28, 29, 32

First, arrange the numbers from least to greatest:

27, 28, 28, 29, 31, 32, 35

Now find the number in the middle.

27, 28, 28, 29, 31, 32, 35

The number in the middle is 29.

The median is 29.


Question: A city recorded how many people rode the subway each day. How many people in total rode the subway on Thursday and Saturday?

Answer: 17,013

Day | Number of riders
Thursday | 8,154
Friday | 1,074
Saturday | 8,859
Sunday | 7,596
Monday | 2,179

Solution:
Find the numbers in the table.

Thursday: 8,154
Saturday: 8,859

Now add: 8,154 + 8,859 = 17,013.

17,013 people rode the subway on Thursday and Saturday.


Question: Duncan has $8.25. Does he have enough to buy a book about cars and a book about trains?

Choices:
- yes
- no

Answer: no

book about cars | $1.68
book about art | $5.88
book about trains | $6.71
book about dinosaurs | $7.34

book about cars
book about art
book about trains
book about dinosaurs

Solution:
Add the price of a book about cars and the price of a book about trains:

$1.68 + $6.71 = $8.39

$8.39 is more than $8.25. Duncan does not have enough money.


Question: A balloon artist counted the number of balloon animal requests she received at a party. The balloon requests differed in animal type and color. What is the probability that a randomly selected balloon animal is shaped like a dog and is green? Simplify any fractions.

Answer: 3/11

 | Purple | Green
Giraffe | 2 | 4
Dog | 2 | 3

Solution:
Let A be the event "the balloon animal is shaped like a dog" and B be the event "the balloon animal is green".
To find the probability that a balloon animal is shaped like a dog and is green, first identify the sample space and the event.
The outcomes in the sample space are the different balloon animals. Each balloon animal is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the balloon animal is shaped like a dog and is green".
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 balloon animal is shaped like a dog and is green", so look at the table to see how many balloon animals are shaped like a dog and are green.
The number of balloon animals that are shaped like a dog and are green is 3.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of balloon animals.
2 + 2 + 4 + 3 = 11

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{3}{11}
The probability that a balloon animal is shaped like a dog and is green is \frac{3}{11}.


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

Answer: 61.02

lawn mower | $53.40
hammer | $22.73
wheelbarrow | $74.25
measuring tape | $13.23
shovel | $19.48
can of paint | $14.72

lawn mower
hammer
wheelbarrow
measuring tape
shovel
can of paint

Solution:
Subtract the price of a measuring tape from the price of a wheelbarrow.

$74.25 - $13.23 = $61.02

A wheelbarrow costs $61.02 more than a measuring tape.


Question: If Kirk buys 4 kilograms of plum tomatoes and 5 kilograms of roma tomatoes, how much will he spend?

Answer: 14.82

roma tomatoes | $2.02/kg
cherry tomatoes | $1.66/kg
vine-ripened tomatoes | $2.13/kg
plum tomatoes | $1.18/kg
heirloom tomatoes | $2.26/kg

roma tomatoes
cherry tomatoes
vine-ripened tomatoes
plum tomatoes
heirloom tomatoes

Solution:
Find the cost of the plum tomatoes. Multiply:

$1.18 × 4 = $4.72

Find the cost of the roma tomatoes. Multiply:

$2.02 × 5 = $10.10

Now find the total cost by adding:

$4.72 + $10.10 = $14.82

He will spend $14.82.


Question: The elementary school art teacher wrote down how many flower pots each child painted last week. How many children painted at least 1 flower pot?

Answer: 16

Flower pots painted | Frequency
0 | 13
1 | 8
2 | 6
3 | 2

Solution:
Find the rows for 1, 2, and 3 flower pots. Add the frequencies for these rows.

Add:

8 + 6 + 2 = 16

16 children painted at least 1 flower pot.


Question: Some dealerships compared their vehicle sales. How many more vehicles did Cars of Pryor Falls sell than Truck Town?

Answer: 391

Dealership | Number of vehicles
Affordable Cars | 409
Cars of Pryor Falls | 567
RV City | 806
Truck Town | 176
Ben's Used Cars | 301

Affordable Cars
Cars of Pryor Falls
RV City
Truck Town
Ben's Used Cars

Solution:
Find the numbers in the table.

Cars of Pryor Falls: 567
Truck Town: 176

Now subtract: 567 - 176 = 391.

Cars of Pryor Falls sold 391 more vehicles than Truck Town.


Question: A food industry researcher compiled the revenues of several pizzerias. Which restaurant made less from pizzas, Pizzeria Italiano or The Real Chicago?

Choices:
- Pizzeria Italiano
- The Real Chicago

Answer: Pizzeria Italiano

Restaurant | Vegetarian pizzas | Cheese pizzas
Pizzeria Italiano | $9 | $7
Arnold's Pizzeria | $14 | $19
Dan's Deep Dish | $13 | $20
The Real Chicago | $12 | $13

Pizzeria Italiano
Arnold's Pizzeria
Dan's Deep Dish
The Real Chicago

Solution:
Add the numbers in the Pizzeria Italiano row. Then, add the numbers in the The Real Chicago row.

Pizzeria Italiano: $9.00 + $7.00 = $16.00
The Real Chicago: $12.00 + $13.00 = $25.00

$16.00 is less than $25.00. Pizzeria Italiano made less from pizzas.


Question: The shop teacher, Mr. Ortega, wrote down how many picture frames the students made last week. How many students made fewer than 3 picture frames?

Answer: 29

Picture frames made | Frequency
0 | 12
1 | 10
2 | 7
3 | 9
4 | 8
5 | 19

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

Add:

12 + 10 + 7 = 29

29 students made fewer than 3 picture frames.


Question: In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 50 cars?

Answer: 19

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

You counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 parking lots had at least 50 cars.


Question: Anita buys 9/10 of a kilogram of catfish. How much does she spend?

Answer: 1.80

halibut | $4/kilogram
catfish | $2/kilogram
tuna | $4/kilogram
salmon | $2/kilogram

Solution:
Find the cost of the catfish. Multiply the price per kilogram by the number of kilograms.
$2 × \frac{9}{10} = $2 × 0.9 = $1.80
She spends $1.80.


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

Answer: 9

Name | Number of coins
Raymond | 8
Bryan | 8
Austin | 10
Meg | 9
Zoe | 9
Sean | 9

Solution:
Read the numbers from the table.

8, 8, 10, 9, 9, 9

First, arrange the numbers from least to greatest:

8, 8, 9, 9, 9, 10

Now count how many times each number appears.

8 appears 2 times.
9 appears 3 times.
10 appears 1 time.

The number that appears most often is 9.

The mode is 9.


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

Answer: 9

Teacher | Number of computers
Miss Murphy | 10
Mr. Lim | 8
Ms. Rojas | 8
Mr. Morales | 7
Mrs. Tan | 1
Mr. Schmidt | 1
Mrs. Jansen | 2

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

Solution:
Read the numbers from the table.

10, 8, 8, 7, 1, 1, 2

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

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

Subtract the least number from the greatest number:

10 − 1 = 9

The range is 9.


Question: Look at the following schedule. Which class begins at 9.50 A.M.?

Choices:
- Health class
- Math class
- Biology class
- Art class

Answer: Health class

Math Music Health English Physics Astronomy Chemistry Gym Biology Art

Solution: Find 9:50 A. M. on the schedule. Health class begins at 9:50 A. M.


Question: A donut shop recorded how many donuts it sold in the past 5 days. How many donuts in total did the shop sell on Tuesday and Wednesday?

Answer: 8,645

Day | Number of donuts
Tuesday | 7,399
Wednesday | 1,246
Thursday | 1,371
Friday | 1,568
Saturday | 1,394

Solution:
Find the numbers in the table.

Tuesday: 7,399
Wednesday: 1,246

Now add: 7,399 + 1,246 = 8,645.

The shop sold 8,645 donuts on Tuesday and Wednesday.


Question: David has $7.00. Does he have enough to buy a fish bowl and a dog leash?

Choices:
- yes
- no

Answer: no

bag of birdseed | $5.00
fish bowl | $5.00
box of dog biscuits | $7.00
dog bowl | $8.00
dog leash | $4.00

bag of birdseed
fish bowl
box of dog biscuits
dog bowl
dog leash

Solution:
Add the price of a fish bowl and the price of a dog leash:

$5.00 + $4.00 = $9.00

$9.00 is more than $7.00. David does not have enough money.


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

Choices:
- 4:10 P.M.
- 2:25 P.M.
- 5:10 P.M.
- 1:45 P.M.

Answer: 4:10 P.M.

Event | Begin | End
plant demonstration | 10:40 A.M. | 12:35 P.M.
train lecture | 12:05 P.M. | 2:25 P.M.
weather demonstration | 1:45 P.M. | 4:10 P.M.
nutrition lecture | 3:35 P.M. | 4:20 P.M.
medicine lecture | 3:45 P.M. | 4:30 P.M.
engine demonstration | 4:10 P.M. | 5:10 P.M.

plant demonstration
train lecture
weather demonstration
nutrition lecture
medicine lecture
engine demonstration

Solution:
Find the weather demonstration on the schedule. Find the end time for the weather demonstration.

weather demonstration: 4:10 P. M.


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

Answer: 7

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

Solution:
Read the numbers from the table.

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

First, arrange the numbers from least to greatest:

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

Now find the number in the middle.

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

The number in the middle is 7.

The median is 7.


Question: Vicky, who has six different fruit trees growing in her yard, kept track of how many pieces of fruit she picked this year. What fraction of the pieces of fruit picked were lemons? Simplify your answer.

Answer: 23/173

Fruits | Pieces of fruit
Apples | 87
Lemons | 46
Oranges | 38
Persimmons | 87
Pears | 34
Plums | 54

Apples Lemons Oranges Persimmons Pears Plums

Solution:
Find how many lemons were picked.

46

Find how many pieces of fruit were picked in total.

87 + 46 + 38 + 87 + 34 + 54 = 346

Divide 46 by 346.

\frac{46}{346}

Reduce the fraction.

\frac{46}{346} → \frac{23}{173}

\frac{23}{173} of lemons were picked.


Question: Each year, the campers at Samuel's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2009 and 2010?

Answer: 8

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}{2010 - 2009}
 = \frac{30 minutes - 22 minutes}{1 year}
 = \frac{8 minutes}{1 year}
 = 8 minutes per year
The rate of change between 2009 and 2010 was 8 minutes per year.


Question: The members of the local garden club tallied the number of plants in each person's garden. What is the smallest number of plants?

Answer: 30

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 3.

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

The smallest number of plants has a stem of 3 and a leaf of 0. Write the stem first, then the leaf: 30.

The smallest number of plants is 30 plants.


Question: Keenan wrote down how many cups of lemonade he sold in the past 4 days. On which day did the stand sell the most lemonade?

Choices:
- Monday
- Tuesday
- Wednesday
- Thursday

Answer: Monday

Day | Number of cups
Monday | 39
Tuesday | 32
Wednesday | 37
Thursday | 34

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.

Now find the corresponding day. Monday corresponds to 39.


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

Answer: 8

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

Friday Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

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

First, arrange the numbers from least to greatest:

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

Now find the number in the middle.

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

The number in the middle is 8.

The median is 8.


Question: Belle 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 Friday and Saturday?

Answer: -1

Day | Number of shells
Tuesday | 6
Wednesday | 5
Thursday | 3
Friday | 6
Saturday | 5

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{5 shells - 6 shells}{1 day}
 = \frac{-1 shells}{1 day}
 = -1 shells per day
The rate of change between Friday and Saturday was - 1 shells per day.


Question: A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the fewest smoothies?

Choices:
- Wednesday
- Thursday
- Friday
- Saturday

Answer: Wednesday

Day | Number of smoothies
Wednesday | 90
Thursday | 94
Friday | 98
Saturday | 93

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 90.

Now find the corresponding day. Wednesday corresponds to 90.


Question: To better understand library usage patterns, a librarian figured out how many books were checked out by some patrons last year. How many patrons checked out at least 2 books?

Answer: 42

Books checked out | Frequency
1 | 1
2 | 18
3 | 3
4 | 8
5 | 11
6 | 2

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

Add:

18 + 3 + 8 + 11 + 2 = 42

42 patrons checked out at least 2 books.


Question: Look at the following schedule. When does the Tigers versus Wolves game end?

Choices:
- 1:35 P.M.
- 12:20 P.M.
- 2:25 P.M.
- 2:40 P.M.

Answer: 2:40 P.M.

Game | Begin | End
Fire versus Blizzard | 10:10 A.M. | 11:40 A.M.
Lightning versus Coyotes | 10:50 A.M. | 12:20 P.M.
Hawks versus Jaguars | 12:05 P.M. | 1:35 P.M.
Cardinals versus Cobras | 12:55 P.M. | 2:25 P.M.
Tigers versus Wolves | 1:10 P.M. | 2:40 P.M.

Fire versus Blizzard
Lightning versus Coyotes
Hawks versus Jaguars
Cardinals versus Cobras
Tigers versus Wolves

Solution:
Find the Tigers versus Wolves game on the schedule. Find the end time for the Tigers versus Wolves game.

Tigers versus Wolves: 2:40 P. M.


Question: Every year Westminster has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2015 and 2016?

Answer: 6

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{41 minutes - 35 minutes}{2016 - 2015}
 = \frac{41 minutes - 35 minutes}{1 year}
 = \frac{6 minutes}{1 year}
 = 6 minutes per year
The rate of change between 2015 and 2016 was 6 minutes per year.


Question: Several students participated in a race. What is the mean of the numbers?

Answer: 46

Runner | Time (minutes)
Krysta | 46
Aubrey | 44
Barbara | 49
Darnel | 47
Rebecca | 48
Evelyn | 45
Tanner | 42
Juan | 47

Krysta Aubrey Barbara Darnel Rebecca Evelyn Tanner Juan

Solution:
Read the numbers from the table.

46, 44, 49, 47, 48, 45, 42, 47

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

46 + 44 + 49 + 47 + 48 + 45 + 42 + 47 = 368

Now divide the sum by the number of numbers:

368 ÷ 8 = 46

The mean is 46.


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{1 - 2}{17 - 16}
 = \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{0 - 1}{18 - 17}
 = \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: Some friends discussed the sizes of their coin collections. How many more coins does Zack have than Derek?

Answer: 486

Name | Number of coins
Audrey | 136
Zack | 754
Derek | 268
Candice | 417

Solution:
Find the numbers in the table.

Zack: 754
Derek: 268

Now subtract: 754 - 268 = 486.

Zack has 486 more coins.


Question: The manager of a party supply store researched how many balloons it sold in the past 7 days. What is the median of the numbers?

Answer: 8

Day | Number of balloons
Thursday | 9
Friday | 5
Saturday | 5
Sunday | 10
Monday | 4
Tuesday | 9
Wednesday | 8

Thursday Friday Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

9, 5, 5, 10, 4, 9, 8

First, arrange the numbers from least to greatest:

4, 5, 5, 8, 9, 9, 10

Now find the number in the middle.

4, 5, 5, 8, 9, 9, 10

The number in the middle is 8.

The median is 8.


Question: In hopes of raising more funds for arts education, some parents in the Clarksville School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2008 and 2009?

Answer: 5

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{$28 - $23}{2009 - 2008}
 = \frac{$28 - $23}{1 year}
 = \frac{$5}{1 year}
 = $5 per year
The rate of change between 2008 and 2009 was $5 per year.


Question: Terrell purchased 3 pounds of blanched peanuts and 4 pounds of honey roasted peanuts. What was the total cost?

Answer: 23.64

blanched peanuts | $3.56/lb
salted peanuts | $1.30/lb
unsalted peanuts | $2.10/lb
honey roasted peanuts | $3.24/lb

blanched peanuts
salted peanuts
unsalted peanuts
honey roasted peanuts

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

$3.56 × 3 = $10.68

Find the cost of the honey roasted peanuts. Multiply:

$3.24 × 4 = $12.96

Now find the total cost by adding:

$10.68 + $12.96 = $23.64

The total cost was $23.64.


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

Answer: 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{50 minutes - 34 minutes}{2017 - 2016}
 = \frac{50 minutes - 34 minutes}{1 year}
 = \frac{16 minutes}{1 year}
 = 16 minutes per year
The rate of change between 2016 and 2017 was 16 minutes per year.


Question: A publisher invited authors to write stories for a special anthology. How many authors wrote more than 3 stories?

Answer: 45

Stories written | Frequency
1 | 3
2 | 4
3 | 14
4 | 13
5 | 12
6 | 20

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

Add:

13 + 12 + 20 = 45

45 authors wrote more than 3 stories.


Question: Sixth graders at Weston Middle School are taught in classes of various sizes. How many more students are in Mrs. South's class than Ms. North's class?

Answer: 10

Teacher | Boys | Girls
Mr. Center | 8 | 7
Ms. North | 19 | 4
Mrs. South | 17 | 16

Solution:
Add the numbers in the Mrs. South row. Then, add the numbers in the Ms. North row.

Mrs. South: 17 + 16 = 33
Ms. North: 19 + 4 = 23

Now subtract:

33 − 23 = 10

10 more students are in Mrs. South's class than Ms. North's class.


Question: Shelley looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the median of the numbers?

Answer: 2

Day | Number of photographs
Sunday | 2
Monday | 1
Tuesday | 7
Wednesday | 1
Thursday | 10

Solution:
Read the numbers from the table.

2, 1, 7, 1, 10

First, arrange the numbers from least to greatest:

1, 1, 2, 7, 10

Now find the number in the middle.

1, 1, 2, 7, 10

The number in the middle is 2.

The median is 2.


Question: Each bracelet has 2 charms. How many charms are on 6 bracelets?

Answer: 12

Number of bracelets | Number of charms
1 | 2
2 | 4
3 | 6
4 | 8
5 | 10
6 | ?

Solution: Count by twos. Use the chart: there are 12 charms on 6 bracelets.


Question: Tom has $24. Does he have enough to buy a beach towel and a pillow?

Choices:
- yes
- no

Answer: yes

beach towel | $11
pillow | $12
fleece blanket | $16
yellow bath towel | $13

beach towel
pillow
fleece blanket
yellow bath towel

Solution:
Add the price of a beach towel and the price of a pillow:

$11 + $12 = $23

$23 is less than $24. Tom does have enough money.


Question: How much more does a ham and cheese omelette cost than a breakfast burrito?

Answer: 2

poached eggs | $2.00
waffle with berries | $9.00
scrambled eggs | $6.00
ham and cheese omelette | $9.00
spinach omelette | $2.00
breakfast burrito | $7.00

poached eggs
waffle with berries
scrambled eggs
ham and cheese omelette
spinach omelette
breakfast burrito

Solution:
Subtract the price of a breakfast burrito from the price of a ham and cheese omelette.

$9.00 - $7.00 = $2.00

A ham and cheese omelette costs $2.00 more than a breakfast burrito.


Question: While compiling photos for an album, Ken noted the number of photographs taken by each of his friends and family. How many people took fewer than 2 photographs?

Answer: 5

Photographs taken | Frequency
0 | 1
1 | 4
2 | 6
3 | 3
4 | 16

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

Add:

1 + 4 = 5

5 people took fewer than 2 photographs.


Question: A journalist attended a crossword puzzle competition which attracts contestants from different countries. The competition ends when a contestant has accurately completed five different crossword puzzles. For his story, the journalist recorded the home country and final score of each contestant. What is the probability that a randomly selected contestant scored exactly 85 points and is from Argentina? Simplify any fractions.

Answer: 1/4

 | Argentina | Brazil
80 points | 2 | 4
85 points | 4 | 6

Solution:
Let A be the event "the contestant scored exactly 85 points" and B be the event "the contestant is from Argentina".
To find the probability that a contestant scored exactly 85 points and is from Argentina, first identify the sample space and the event.
The outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the contestant scored exactly 85 points and is from Argentina".
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 contestant scored exactly 85 points and is from Argentina", so look at the table to see how many contestants scored exactly 85 points and are from Argentina.
The number of contestants who scored exactly 85 points and are from Argentina is 4.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of contestants.
2 + 4 + 4 + 6 = 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{4}{16}
 = \frac{1}{4}
The probability that a contestant scored exactly 85 points and is from Argentina is \frac{1}{4}.


Question: Use the data to answer the question below. Is the following statement about our solar system true or false? The volume of Earth is more than ten times the volume of Mercury.

Choices:
- true
- false

Answer: true

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

Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune

Solution:
To determine if this statement is true, calculate the value of ten times the volume of Mercury.

6.08 x10^10 · 10^1
 = 6.08 x10^11 km^3

Then compare the result to the volume of Earth. The volume of Earth is 1.08 x10^12 km^3, which is greater than 6.08 x10^11 km^3. So, the volume of Earth is more than ten times the volume of Mercury.


Question: In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. What is the largest number of cars?

Answer: 79

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

Now find the highest leaf in the last row. The highest leaf is 9.

The largest number of cars has a stem of 7 and a leaf of 9. Write the stem first, then the leaf: 79.

The largest number of cars is 79 cars.


Question: How much money does Alvin need to buy a small stuffed otter, a palm tree magnet, and a souvenir spoon?

Answer: 1.69

souvenir spoon | $0.23
palm tree magnet | $0.99
beach postcard | $0.19
small stuffed otter | $0.47
shell necklace | $0.72
souvenir thimble | $0.66

souvenir spoon
palm tree magnet
beach postcard
small stuffed otter
shell necklace
souvenir thimble

Solution:
Find the total cost of a small stuffed otter, a palm tree magnet, and a souvenir spoon.

$0.47 + $0.99 + $0.23 = $1.69

Alvin needs $1.69.


Question: A farmer wrote down how many kilograms of cherries were sold in the past 6 days. What is the mode of the numbers?

Answer: 7

Day | Kilograms
Wednesday | 8
Thursday | 7
Friday | 7
Saturday | 7
Sunday | 10
Monday | 8

Wednesday Thursday Friday Saturday Sunday Monday

Solution:
Read the numbers from the table.

8, 7, 7, 7, 10, 8

First, arrange the numbers from least to greatest:

7, 7, 7, 8, 8, 10

Now count how many times each number appears.

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

The number that appears most often is 7.

The mode is 7.


Question: An author kept a log of how many pages he wrote in the past 5 days. What is the mean of the numbers?

Answer: 3

Day | Number of pages
Wednesday | 2
Thursday | 1
Friday | 7
Saturday | 0
Sunday | 5

Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

2, 1, 7, 0, 5

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

2 + 1 + 7 + 0 + 5 = 15

Now divide the sum by the number of numbers:

15 ÷ 5 = 3

The mean is 3.


Question: The school district compared how many math teachers each high school has. What is the range of the numbers?

Answer: 7

High school | Number of math teachers
Moore High | 5
Washington High | 4
Thompson High | 4
Hillview High | 2
Cedar High | 5
Lincoln High | 3
River High | 5
Green High | 9

Moore High
Washington High
Thompson High
Hillview High
Cedar High
Lincoln High
River High
Green High

Solution:
Read the numbers from the table.

5, 4, 4, 2, 5, 3, 5, 9

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

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

Subtract the least number from the greatest number:

9 − 2 = 7

The range is 7.


Question: Each van has 2 people. How many people are in 3 vans?

Answer: 6

Number of vans | Number of people
1 | 2
2 | 4
3 | ?

Solution: Count by twos. Use the chart: there are 6 people in 3 vans.


Question: Brett counted the number of pieces of pepperoni on each pizza he made. How many pizzas had at least 30 pieces of pepperoni but fewer than 50 pieces of pepperoni?

Answer: 10

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

You counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 pizzas had at least 30 pieces of pepperoni but fewer than 50 pieces of pepperoni.


Question: Addison has $0.17. How much money will Addison have left if she buys a pearl bead and an orange and yellow striped bead?

Answer: 0.06

pink striped glass bead | $0.05
long red bead | $0.07
pearl bead | $0.05
orange and yellow striped bead | $0.06
shiny red bead | $0.09

pink striped glass bead
long red bead
pearl bead
orange and yellow striped bead
shiny red bead

Solution:
Find the total cost of a pearl bead and an orange and yellow striped bead.

$0.05 + $0.06 = $0.11

Now subtract the total cost from the starting amount.

$0.17 - $0.11 = $0.06

Addison will have $0.06 left.


Question: Isaac's classmates revealed how many science articles they read. What is the mean of the numbers?

Answer: 8

Name | Number of science articles
Isaac | 7
Hector | 6
Edna | 9
Braden | 7
Ross | 10
Joel | 9

Solution:
Read the numbers from the table.

7, 6, 9, 7, 10, 9

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

7 + 6 + 9 + 7 + 10 + 9 = 48

Now divide the sum by the number of numbers:

48 ÷ 6 = 8

The mean is 8.


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

Answer: 11

Country | 2002 | 2005
Poland | 3 | 4
Germany | 10 | 11
Denmark | 9 | 8
Australia | 4 | 5

Country Poland Germany Denmark Australia

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

This number is 11. In 2005, people in Germany consumed 11 kilograms of chocolate per capita.


Question: How much more does a book about Asia cost than a book about snakes?

Answer: 1

book about snakes | $19.00
book about Europe | $25.00
book about art | $21.00
book about Asia | $20.00
book about helicopters | $11.00
book about basketball | $25.00

book about snakes
book about Europe
book about art
book about Asia
book about helicopters
book about basketball

Solution:
Subtract the price of a book about snakes from the price of a book about Asia.

$20.00 - $19.00 = $1.00

A book about Asia costs $1.00 more than a book about snakes.


Question: How much money does Larry need to buy a sheet of bright yellow paper and a piece of polka-dotted paper?

Answer: 0.08

pale purple note card | $0.06
sheet of bright yellow paper | $0.06
piece of polka-dotted paper | $0.02
bright blue note card | $0.02
orange envelope | $0.08
sheet of shiny silver paper | $0.09

pale purple note card
sheet of bright yellow paper
piece of polka-dotted paper
bright blue note card
orange envelope
sheet of shiny silver paper

Solution:
Add the price of a sheet of bright yellow paper and the price of a piece of polka-dotted paper:

$0.06 + $0.02 = $0.08

Larry needs $0.08.


Question: Worried about going over his storage limit, Herman monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Tuesday and Wednesday?

Answer: 4

Day | Voicemail messages
Sunday | 16
Monday | 6
Tuesday | 11
Wednesday | 15
Thursday | 19

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{15 voicemail messages - 11 voicemail messages}{1 day}
 = \frac{4 voicemail messages}{1 day}
 = 4 voicemail messages per day
The rate of change between Tuesday and Wednesday was 4 voicemail messages per day.


Question: The financial aid office at Carter University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2010 and 2011?

Answer: 8

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{49 students - 41 students}{2011 - 2010}
 = \frac{49 students - 41 students}{1 year}
 = \frac{8 students}{1 year}
 = 8 students per year
The rate of change between 2010 and 2011 was 8 students per year.


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

Answer: 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 - 1 game}{2018 - 2017}
 = \frac{8 games - 1 game}{1 year}
 = \frac{7 games}{1 year}
 = 7 games per year
The rate of change between 2017 and 2018 was 7 games per year.


Question: A biologist recorded the number of birds at lakes in Sparrowtown. Which lake has the most geese?

Choices:
- Spring Lake
- Blue Lake
- Long Lake
- Fog Lake

Answer: Fog Lake

Lake | Geese | Swans
Blue Lake | 10 | 5
Long Lake | 10 | 6
Fog Lake | 14 | 11
Spring Lake | 5 | 6

Blue Lake
Long Lake
Fog Lake
Spring Lake

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

The greatest number is 14, which is in the Fog Lake row. Fog Lake has the most geese.


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 soccer coach asked the members of his team how many times they played soccer last week. How many people played soccer fewer than 2 times?

Answer: 34

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

Add:

16 + 18 = 34

34 people played soccer fewer than 2 times.


Question: Mrs. Herrera, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum at least 4 times?

Answer: 19

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

Add:

14 + 5 = 19

19 students went to the science museum at least 4 times.


Question: Grayson's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed the most chocolate per capita in 2002?

Choices:
- Norway
- Sweden
- Germany
- Poland

Answer: Germany

Country | 2002 | 2005
Norway | 8 | 9
Sweden | 8 | 7
Germany | 10 | 11
Poland | 3 | 4

Solution:
Look at the numbers in the 2002 column. Find the greatest number in this column.

The greatest number is 10, which is in the Germany row. Germany consumed the most chocolate per capita in 2002.


Question: Will has $141. Does he have enough to buy a fountain and an iron bench?

Choices:
- yes
- no

Answer: no

iron bench | $55
lawn chair | $11
fountain | $94
rosebush | $35

Solution:
Add the price of a fountain and the price of an iron bench:

$94 + $55 = $149

$149 is more than $141. Will does not have enough money.


Question: How much money does Sue need to buy 3 green dresses and 2 yellow dresses?

Answer: 199

green dress | $33.00
winter jacket | $28.00
pair of sweat pants | $16.00
pair of tennis shoes | $10.00
pair of boots | $10.00
yellow dress | $50.00

green dress
winter jacket
pair of sweat pants
pair of tennis shoes
pair of boots
yellow dress

Solution:
Find the cost of 3 green dresses.

$33.00 × 3 = $99.00

Find the cost of 2 yellow dresses.

$50.00 × 2 = $100.00

Now find the total cost.

$99.00 + $100.00 = $199.00

Sue needs $199.00.


Question: A food critic counted the number of menu items at each restaurant in town. What is the smallest number of menu items?

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 smallest number of menu items has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.

The smallest number of menu items is 11 menu items.


Question: Sofia has $1.50. Does she have enough to buy a small box of paper clips and a pink eraser?

Choices:
- yes
- no

Answer: no

thin blue marker | $0.85
small box of paper clips | $0.97
pink eraser | $0.67
black pen | $0.59

thin blue marker
small box of paper clips
pink eraser
black pen

Solution:
Add the price of a small box of paper clips and the price of a pink eraser:

$0.97 + $0.67 = $1.64

$1.64 is more than $1.50. Sofia does not have enough money.


Question: An athlete counted how many autographs he signed each day. What is the range of the numbers?

Answer: 6

Day | Number of autographs
Saturday | 7
Sunday | 9
Monday | 7
Tuesday | 8
Wednesday | 9
Thursday | 6
Friday | 3

Solution:
Read the numbers from the table.

7, 9, 7, 8, 9, 6, 3

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

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

Subtract the least number from the greatest number:

9 − 3 = 6

The range is 6.


Question: A bakery recorded how many cupcakes it sold in the past 4 days. On which day did the bakery sell the most cupcakes?

Choices:
- Monday
- Tuesday
- Wednesday
- Thursday

Answer: Tuesday

Day | Number of cupcakes
Monday | 815
Tuesday | 881
Wednesday | 858
Thursday | 851

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 881.

Now find the corresponding day. Tuesday corresponds to 881.


Question: A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 7 days. What is the median of the numbers?

Answer: 4

Day | Number of bags of popcorn
Saturday | 6
Sunday | 6
Monday | 0
Tuesday | 8
Wednesday | 4
Thursday | 2
Friday | 3

Solution:
Read the numbers from the table.

6, 6, 0, 8, 4, 2, 3

First, arrange the numbers from least to greatest:

0, 2, 3, 4, 6, 6, 8

Now find the number in the middle.

0, 2, 3, 4, 6, 6, 8

The number in the middle is 4.

The median is 4.


Question: Clara has $13.50. Does she have enough to buy a white polo shirt and a long-sleeved shirt?

Choices:
- yes
- no

Answer: no

long-sleeved shirt | $6.45
white polo shirt | $7.24
denim skirt | $6.99
pair of sweat pants | $7.43

long-sleeved shirt
white polo shirt
denim skirt
pair of sweat pants

Solution:
Add the price of a white polo shirt and the price of a long-sleeved shirt:

$7.24 + $6.45 = $13.69

$13.69 is more than $13.50. Clara does not have enough money.


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

Choices:
- linear
- nonlinear

Answer: nonlinear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{11 - 14}{1 - 0}
 = \frac{-3}{1}
 = -3
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{5 - 11}{2 - 1}
 = \frac{-6}{1}
 = -6
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: At their family reunion, the Arnold family recorded everyone's age. How many people are exactly 24 years old?

Answer: 2

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

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people are exactly24 years old.


Question: Brooke has $0.12. Does she have enough to buy a piece of green slate and a smooth piece of marble?

Choices:
- yes
- no

Answer: no

smooth piece of marble | $0.06
piece of fool's gold | $0.03
piece of green slate | $0.07
piece of smoky quartz | $0.09
quartz crystal | $0.08

smooth piece of marble
piece of fool's gold
piece of green slate
piece of smoky quartz
quartz crystal

Solution:
Add the price of a piece of green slate and the price of a smooth piece of marble:

$0.07 + $0.06 = $0.13

$0.13 is more than $0.12. Brooke does not have enough money.


Question: Brooke has $0.07. Does she have enough to buy a duck stamp and a robot stamp?

Choices:
- yes
- no

Answer: no

robot stamp | $0.08
coyote stamp | $0.06
duck stamp | $0.01
piece of bubble wrap | $0.03
rose stamp | $0.04
flag stamp | $0.08

robot stamp
coyote stamp
duck stamp
piece of bubble wrap
rose stamp
flag stamp

Solution:
Add the price of a duck stamp and the price of a robot stamp:

$0.01 + $0.08 = $0.09

$0.09 is more than $0.07. Brooke does not have enough money.


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

Choices:
- Porter
- Bert
- Emilia
- Dana

Answer: Dana

Name | Number of tennis balls
Porter | 226
Bert | 269
Emilia | 292
Dana | 296

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 296.

Now find the corresponding name. Dana corresponds to 296.


Question: Look at the table. Then answer the question. At a price of $1,200, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $1,200, 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 shelf has 2 cups. How many cups are on 4 shelves?

Answer: 8

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

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


Question: Sandeep, a huge fan, tracked the scores on his favorite radio quiz show. How many people scored at least 3?

Answer: 51

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

Add:

16 + 20 + 15 = 51

51 people scored at least 3.


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

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{11 - 7}{10 - 9}
 = \frac{4}{1}
 = 4
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{15 - 7}{11 - 9}
 = \frac{8}{2}
 = 4
The two rates of change are the same.
If you checked the rate of change between rows 2 and 3, you would find that it is also 4.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: How much money does Marshall need to buy a map of the world and a mystery novel?

Answer: 8.23

math book | $7.32
airplane calendar | $9.08
cat calendar | $9.15
photo album | $9.61
map of the world | $3.46
mystery novel | $4.77

math book
airplane calendar
cat calendar
photo album
map of the world
mystery novel

Solution:
Add the price of a map of the world and the price of a mystery novel:

$3.46 + $4.77 = $8.23

Marshall needs $8.23.


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

Answer: 8

Day | Number of spelling words
Tuesday | 8
Wednesday | 10
Thursday | 10
Friday | 6
Saturday | 5

Solution:
Read the numbers from the table.

8, 10, 10, 6, 5

First, arrange the numbers from least to greatest:

5, 6, 8, 10, 10

Now find the number in the middle.

5, 6, 8, 10, 10

The number in the middle is 8.

The median is 8.


Question: While doing a project for P. E. class, Sharon researched the number of athletes competing in an international sporting event. How many countries have at least 27 athletes?

Answer: 16

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

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

You counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 countries have at least 27 athletes.


Question: A hot dog stand kept track of the number of hot dogs sold each day. On which day did the stand sell the fewest hot dogs?

Choices:
- Saturday
- Sunday
- Monday
- Tuesday

Answer: Sunday

Day | Number of hot dogs
Saturday | 47
Sunday | 41
Monday | 45
Tuesday | 43

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 stock broker followed the stock prices of a certain set of companies. How much did Houston Sporting Goods's stock cost on Wednesday?

Answer: 20

Company | Wednesday | Thursday
Watson and Partners | $13 | $2
Computer Data Company | $11 | $19
Houston Sporting Goods | $20 | $19
White and Company | $8 | $6
Jonas Incorporated | $5 | $5

Watson and Partners
Computer Data Company
Houston Sporting Goods
White and Company
Jonas Incorporated

Solution:
First, find the row for Houston Sporting Goods. Then find the number in the Wednesday column.

This number is $20.00. Houston Sporting Goods's stock cost $20 on Wednesday.


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

Answer: 2/9

 | Red hair | Blonde hair
Red car | 5 | 4
Blue car | 7 | 2

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

Find the number of outcomes in the event A and B.
A and B is the event "the driver has a red car and has blonde hair", so look at the table to see how many drivers have a red car and have blonde hair.
The number of drivers who have a red car and have blonde hair is 4.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of drivers.
5 + 7 + 4 + 2 = 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{4}{18}
 = \frac{2}{9}
The probability that a driver has a red car and has blonde hair is \frac{2}{9}.


Question: How much money does Erica need to buy 5 pairs of designer shoes?

Answer: 23,690

designer handbag | $3,238.00
designer watch | $1,024.00
pair of designer shoes | $4,738.00
designer ball gown | $3,907.00

designer handbag
designer watch
pair of designer shoes
designer ball gown

Solution:
Find the total cost of 5 pairs of designer shoes by multiplying 5 times the price of a pair of designer shoes.

$4,738.00 × 5 = $23,690.00

Erica needs $23,690.00.


Question: For a science fair project, Omar tracked the temperature each day. What is the lowest temperature?

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 lowest temperature has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.

The lowest temperature is 11°C.


Question: Mary went on a bird watching trip and jotted down the number of birds she saw each day. What is the mode of the numbers?

Answer: 58

Day | Number of birds
Friday | 58
Saturday | 58
Sunday | 63
Monday | 58
Tuesday | 63

Solution:
Read the numbers from the table.

58, 58, 63, 58, 63

First, arrange the numbers from least to greatest:

58, 58, 58, 63, 63

Now count how many times each number appears.

58 appears 3 times.
63 appears 2 times.

The number that appears most often is 58.

The mode is 58.


Question: Look at the table. Then answer the question. At a price of $345, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $345, 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: A school district compared how many students attend each elementary school. Which school has the fewest students?

Choices:
- West Elementary
- Pine Elementary
- Douglas Elementary
- Canyon Elementary

Answer: Pine Elementary

School | Number of students
West Elementary | 339
Pine Elementary | 312
Douglas Elementary | 321
Canyon Elementary | 313

West Elementary
Pine Elementary
Douglas Elementary
Canyon Elementary

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 312.

Now find the corresponding school. Pine Elementary corresponds to 312.


Question: The fifth-grade teachers at Pineview Elementary are planning a party for the end of the year. They asked their students to vote for their favorite treat. The teachers recorded the votes in a frequency chart. How many more students voted for the most popular treat than the least popular treat?

Answer: 27

Treat | Frequency
ice pops | 32
pizza | 46
popcorn | 19
cupcakes | 42

Solution:
Step 1: Find the most popular treat and the least popular treat.
The greatest number in the frequency chart is 46. The smallest number in the frequency chart is 19.
So, the most popular treat is pizza and the least popular is popcorn.
Step 2: Find how many more students voted for pizza than popcorn.
46 students voted for pizza, and 19 students voted for popcorn. Subtract to find the difference.
46 - 19 = 27
So, 27 more students voted for pizza than for popcorn.


Question: Reagan wrote down how many glasses of water she drank during the past 6 days. What is the mean of the numbers?

Answer: 6

Day | Number of glasses
Sunday | 6
Monday | 3
Tuesday | 8
Wednesday | 5
Thursday | 7
Friday | 7

Sunday Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

6, 3, 8, 5, 7, 7

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

6 + 3 + 8 + 5 + 7 + 7 = 36

Now divide the sum by the number of numbers:

36 ÷ 6 = 6

The mean is 6.


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

Answer: 30

Number of tool boxes | Number of tape measures
1 | 10
2 | 20
3 | ?

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