Question: A farmer wrote down how many kilograms of cherries were sold in the past 5 days. How many kilograms of cherries in total were sold on Sunday and Tuesday?

Answer: 317

Day | Kilograms
Saturday | 340
Sunday | 201
Monday | 503
Tuesday | 116
Wednesday | 268

Solution:
Find the numbers in the table.

Sunday: 201
Tuesday: 116

Now add: 201 + 116 = 317.

317 kilograms of cherries were sold on Sunday and Tuesday.


Question: Brennan wrote down how many spelling words he practiced each day. What is the mean of the numbers?

Answer: 8

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

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

Solution:
Read the numbers from the table.

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

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

8 + 10 + 6 + 6 + 9 + 9 + 8 = 56

Now divide the sum by the number of numbers:

56 ÷ 7 = 8

The mean is 8.


Question: Look at the table. Then answer the question. At a price of $1,475, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $1,475, 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: Each desk has 5 highlighters. How many highlighters are in 3 desks?

Answer: 15

Number of desks | Number of highlighters
1 | 5
2 | 10
3 | ?

Solution: Count by fives. Use the chart: there are 15 highlighters in 3 desks.


Question: Look at the following schedule. Darnel is at Winchester. If he wants to arrive at Westford at 10.30 A.M., what time should he get on the train?

Choices:
- 7:45 A.M.
- 8:30 A.M.
- 10:15 A.M.
- 5:00 A.M.

Answer: 8:30 A.M.

Winchester Vindale Westford Lowell Milford

Solution:
Look at the row for Westford. Find the train that arrives at Westford at 10:30 A. M.

Look up the column until you find the row for Winchester.

Darnel should get on the train at 8:30 A. M.


Question: How much money does Sue need to buy a mechanical pencil and a pink eraser?

Answer: 0.06

thin blue marker | $0.04
pink eraser | $0.03
package of crayons | $0.07
thick black marker | $0.06
mechanical pencil | $0.03

thin blue marker
pink eraser
package of crayons
thick black marker
mechanical pencil

Solution:
Add the price of a mechanical pencil and the price of a pink eraser:

$0.03 + $0.03 = $0.06

Sue needs $0.06.


Question: What is the total cost for 1+1/4 pounds of tortillas?

Answer: 12.50

French rolls | $10/pound
wheat rolls | $14/pound
hot dog buns | $20/pound
rye rolls | $9/pound
hamburger buns | $10/pound
tortillas | $10/pound
English muffins | $16/pound

French rolls
wheat rolls
hot dog buns
rye rolls
hamburger buns
tortillas
English muffins

Solution:
Find the cost of the tortillas. Multiply the price per pound by the number of pounds.
$10 × 1\frac{1}{4} = $10 × 1.25 = $12.50
The total cost is $12.50.


Question: The Booneville Symphony categorizes its donors as gold, silver, or bronze depending on the amount donated. What fraction of donors are at the bronze level? Simplify your answer.

Answer: 96/223

Donation level | Number of donors
Gold | 78
Bronze | 96
Silver | 49

Solution:
Find how many donors are at the bronze level.

96

Find how many donors there are in total.

78 + 96 + 49 = 223

Divide 96 by223.

\frac{96}{223}

\frac{96}{223} of donors are at the bronze level.


Question: Hannah baked cookies each day for a bake sale. How many more cookies did Hannah bake on Saturday than on Sunday?

Answer: 18

Day | Number of cookies
Friday | 163
Saturday | 281
Sunday | 263

Solution:
Find the numbers in the table.

Saturday: 281
Sunday: 263

Now subtract: 281 - 263 = 18.

Hannah baked 18 more cookies on Saturday.


Question: How much money does Bruce need to buy a frying pan and 8 sets of forks?

Answer: 104.60

set of dishes | $97.65
frying pan | $22.84
set of forks | $10.22
soup pot | $58.55

set of dishes
frying pan
set of forks
soup pot

Solution:
Find the cost of 8 sets of forks.

$10.22 × 8 = $81.76

Now find the total cost.

$22.84 + $81.76 = $104.60

Bruce needs $104.60.


Question: For a math assignment, Christina researched the scores of the people competing on her favorite quiz show. How many people scored exactly 15 points?

Answer: 4

Solution:
For the number 15, the stem is 1, and the leaf is 5. Find the row where the stem is 1. In that row, count all the leaves equal to 5.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people scored exactly15 points.


Question: Zeke has $23.00. Does he have enough to buy an apple pie and an apple tart?

Choices:
- yes
- no

Answer: no

peach pie | $10.00
cherry pie | $14.00
apple tart | $12.00
carrot cake | $13.00
apple pie | $14.00

peach pie
cherry pie
apple tart
carrot cake
apple pie

Solution:
Add the price of an apple pie and the price of an apple tart:

$14.00 + $12.00 = $26.00

$26.00 is more than $23.00. Zeke does not have enough money.


Question: A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number less than 3?

Answer: 17

Number spun | Frequency
1 | 3
2 | 14
3 | 4
4 | 9
5 | 0

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

Add:

3 + 14 = 17

17 people spun a number less than 3.


Question: A farmer counted the number of apples on each tree in her orchard. How many trees have exactly 35 apples?

Answer: 2

Solution:
For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 trees have exactly 35 apples.


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

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

Answer: bottom of the mine

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

Top of the skyscraper
Bottom of the mine

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


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

Answer: 7

School | Number of swings
Hillside Elementary | 10
Newberry Elementary | 5
Canyon Elementary | 10
Jefferson Elementary | 5
Valley Elementary | 7
Lincoln Elementary | 7
Boyd Elementary | 7
Shoreline Elementary | 3

Hillside Elementary
Newberry Elementary
Canyon Elementary
Jefferson Elementary
Valley Elementary
Lincoln Elementary
Boyd Elementary
Shoreline Elementary

Solution:
Read the numbers from the table.

10, 5, 10, 5, 7, 7, 7, 3

First, arrange the numbers from least to greatest:

3, 5, 5, 7, 7, 7, 10, 10

Now count how many times each number appears.

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

The number that appears most often is 7.

The mode is 7.


Question: How much money does Malia need to buy 7 ice cream cones?

Answer: 6.72

bagel | $0.50
bag of pretzels | $0.71
ice cream cone | $0.96
bag of potato chips | $0.99

bagel
bag of pretzels
ice cream cone
bag of potato chips

Solution:
Find the total cost of 7 ice cream cones by multiplying 7 times the price of an ice cream cone.

$0.96 × 7 = $6.72

Malia needs $6.72.


Question: To figure out how many vacation days he had left to use, Darnell looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2009 and 2010?

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 vacation days - 16 vacation days}{2010 - 2009}
 = \frac{20 vacation days - 16 vacation days}{1 year}
 = \frac{4 vacation days}{1 year}
 = 4 vacation days per year
The rate of change between 2009 and 2010 was 4 vacation days per year.


Question: Irma has $122.00. How much money will Irma have left if she buys a book about Australia and a book about Europe?

Answer: 94

book about soccer | $13.00
book about art | $14.00
book about Australia | $11.00
book about Europe | $17.00
book about dogs | $18.00
book about South America | $22.00

book about soccer
book about art
book about Australia
book about Europe
book about dogs
book about South America

Solution:
Find the total cost of a book about Australia and a book about Europe.

$11.00 + $17.00 = $28.00

Now subtract the total cost from the starting amount.

$122.00 - $28.00 = $94.00

Irma will have $94.00 left.


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

Answer: -2

Average waiting time at a doctor's office

Month | Waiting time (minutes)
March | 41
April | 39
May | 35
June | 29
July | 28

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{39 minutes - 41 minutes}{1 month}
 = \frac{-2 minutes}{1 month}
 = -2 minutes per month
The rate of change between March and April was - 2 minutes per month.


Question: Kathleen has $106.00. Does she have enough to buy a hedgehog and a tree frog?

Choices:
- yes
- no

Answer: no

hedgehog | $92.32
chameleon | $96.60
scorpion | $65.25
tree frog | $18.89

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

$92.32 + $18.89 = $111.21

$111.21 is more than $106.00. Kathleen does not have enough money.


Question: Gabriel has $94.50. Does he have enough to buy a toy rocket and a boomerang?

Choices:
- yes
- no

Answer: no

model airplane | $36.57
board game | $16.50
toy rocket | $80.46
chess board | $14.05
toy piano | $11.13
boomerang | $14.33

model airplane
board game
toy rocket
chess board
toy piano
boomerang

Solution:
Add the price of a toy rocket and the price of a boomerang:

$80.46 + $14.33 = $94.79

$94.79 is more than $94.50. Gabriel does not have enough money.


Question: For a math assignment, Eva researched the scores of the people competing on her favorite quiz show. How many people scored exactly 41 points?

Answer: 0

Solution:
For the number 41, the stem is 4, and the leaf is 1. Find the row where the stem is 4. In that row, count all the leaves equal to 1.

You counted 0 leaves. 0 people scored exactly 41 points.


Question: How much money does Rhianna need to buy a hedgehog and a finch?

Answer: 109.53

finch | $48.44
cockatoo | $58.86
pot-bellied pig | $26.30
hedgehog | $61.09
chinchilla | $39.24
chameleon | $63.10

finch
cockatoo
pot-bellied pig
hedgehog
chinchilla
chameleon

Solution:
Add the price of a hedgehog and the price of a finch:

$61.09 + $48.44 = $109.53

Rhianna needs $109.53.


Question: Chef Chandler baked his famous casseroles for a company holiday party. The casseroles had different shapes and different delicious fillings. What is the probability that a randomly selected casserole is shaped like a rectangle and is filled with cheese? Simplify any fractions.

Answer: 1/9

 | Spinach | Cheese
Rectangle | 5 | 2
Circle | 5 | 6

Solution:
Let A be the event "the casserole is shaped like a rectangle" and B be the event "the casserole is filled with cheese".
To find the probability that a casserole is shaped like a rectangle and is filled with cheese, first identify the sample space and the event.
The outcomes in the sample space are the different casseroles. Each casserole is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the casserole is shaped like a rectangle and is filled with cheese".
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 casserole is shaped like a rectangle and is filled with cheese", so look at the table to see how many casseroles are shaped like a rectangle and are filled with cheese.
The number of casseroles that are shaped like a rectangle and are filled with cheese is 2.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of casseroles.
5 + 5 + 2 + 6 = 18

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{2}{18}
 = \frac{1}{9}
The probability that a casserole is shaped like a rectangle and is filled with cheese is \frac{1}{9}.


Question: What is the total cost for 1 kilogram of gouda?

Answer: 4

feta | $4/kg
Brie | $4/kg
mozzarella | $2/kg
gouda | $4/kg

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

$4 × 1 = $4

The total cost is $4.


Question: Dr. Harrell, a pediatrician, weighed all the children who recently visited her office. What is the weight of the heaviest child?

Answer: 86

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.

Now find the highest leaf in the last row. The highest leaf is 6.

The weight of the heaviest child has a stem of 8 and a leaf of 6. Write the stem first, then the leaf: 86.

The weight of the heaviest child is 86 pounds.


Question: For the annual class picnic, each student voted for his or her favorite meal. Did fewer students choose turkey sandwiches or spaghetti for their lunch?

Choices:
- spaghetti
- turkey sandwiches

Answer: turkey sandwiches

Lunch | Fourth graders | Fifth graders
Spaghetti | 7 | 13
Egg salad | 12 | 19
Hot dogs | 10 | 1
Turkey sandwiches | 3 | 5

Spaghetti
Egg salad
Hot dogs
Turkey sandwiches

Solution:
Add the numbers in the Turkey sandwiches row. Then, add the numbers in the Spaghetti row.

turkey sandwiches: 3 + 5 = 8
spaghetti: 7 + 13 = 20

8 is less than 20. Fewer students chose turkey sandwiches.


Question: A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. How many people are there in all?

Answer: 57

Solution:
Add the frequencies for each row.

Add:

1 + 9 + 8 + 16 + 11 + 12 = 57

There are 57 people in all.


Question: Devin kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2006 and 2007?

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{19 games - 24 games}{2007 - 2006}
 = \frac{19 games - 24 games}{1 year}
 = \frac{-5 games}{1 year}
 = -5 games per year
The rate of change between 2006 and 2007 was - 5 games per year.


Question: The members of the swimming team compared how many laps they swam yesterday. What is the mode of the numbers?

Answer: 33

Name | Laps
Tanvi | 15
Paul | 33
Norma | 40
Addison | 40
Sidney | 33
Janet | 15
Kari | 33

Tanvi Paul Norma Addison Sidney Janet Kari

Solution:
Read the numbers from the table.

15, 33, 40, 40, 33, 15, 33

First, arrange the numbers from least to greatest:

15, 15, 33, 33, 33, 40, 40

Now count how many times each number appears.

15 appears 2 times.
33 appears 3 times.
40 appears 2 times.

The number that appears most often is 33.

The mode is 33.


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

Answer: 19

Runner | Time (minutes)
Jeremiah | 19
Cora | 20
Wyatt | 18
Kira | 17
Zack | 19

Solution:
Read the numbers from the table.

19, 20, 18, 17, 19

First, arrange the numbers from least to greatest:

17, 18, 19, 19, 20

Now find the number in the middle.

17, 18, 19, 19, 20

The number in the middle is 19.

The median is 19.


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

Answer: 4

Name | Number of science articles
Zoe | 5
Caden | 5
Pedro | 2
Andrew | 5
Harper | 4
Tiana | 4
Lucas | 3
Kevin | 4

Zoe Caden Pedro Andrew Harper Tiana Lucas Kevin

Solution:
Read the numbers from the table.

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

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

5 + 5 + 2 + 5 + 4 + 4 + 3 + 4 = 32

Now divide the sum by the number of numbers:

32 ÷ 8 = 4

The mean is 4.


Question: Each shelf has 10 hats. How many hats are on 5 shelves?

Answer: 50

Number of shelves | Number of hats
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 hats on 5 shelves.


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

Answer: 5

Person | Number of Web pages
Gary | 10
Kiera | 7
Brandon | 5
Dale | 5
Anthony | 3
Jack | 4
Rafi | 6

Gary Kiera Brandon Dale Anthony Jack Rafi

Solution:
Read the numbers from the table.

10, 7, 5, 5, 3, 4, 6

First, arrange the numbers from least to greatest:

3, 4, 5, 5, 6, 7, 10

Now find the number in the middle.

3, 4, 5, 5, 6, 7, 10

The number in the middle is 5.

The median is 5.


Question: While working as a summer camp counselor, Cole monitored how many candy necklaces each child made. How many children did not make any candy necklaces?

Answer: 1

Candy necklaces made | Frequency
0 | 1
1 | 3
2 | 19
3 | 2

Solution:
Find the row for 0 candy necklaces and read the frequency. The frequency is 1.

1 child did not make any candy necklaces.


Question: A jeweler in Middletown examined which metals her customers selected for wedding bands last year. What fraction of the rings sold had a gold band? Simplify your answer.

Answer: 77/200

Metal | Rings bought
Platinum | 500
Silver | 730
Gold | 770

Solution:
Find how many rings with a gold band were sold.

770

Find how many rings were sold in total.

500 + 730 + 770 = 2,000

Divide 770 by2,000.

\frac{770}{2,000}

Reduce the fraction.

\frac{770}{2,000} → \frac{77}{200}

\frac{77}{200} of rings with a gold band were sold.


Question: Audrey's classmates revealed how many science articles they read. Who read the fewest science articles?

Choices:
- Audrey
- Sarah
- Patrick
- Maya

Answer: Patrick

Name | Number of science articles
Audrey | 96
Sarah | 98
Patrick | 90
Maya | 92

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 name. Patrick corresponds to 90.


Question: Gabe, a huge fan, tracked the scores on his favorite radio quiz show. Which score did the fewest people receive?

Answer: 3

Solution: Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 3. The fewest people scored 3.


Question: Look at Nathaniel's pay stub. Nathaniel lives in a state that has state income tax. How much payroll tax did Nathaniel pay in total?

Answer: 181.14

Employee | Pay period |
Nathaniel Stone | September 11-17 |
Total earnings | | $685.00
Federal income tax | $78.53 |
State income tax | $50.21 |
Other taxes | $52.40 |
Total taxes | | ?
Pay after taxes | | ?

Nathaniel Stone
Total earnings
Federal income tax
State income tax
Other taxes
Total taxes
Pay after taxes

Solution:
To find the total payroll tax, add the federal income tax, state income tax, and other taxes.
The federal income tax is $78.53. The state income tax is $50.21. The other taxes are $52.40. Add.
$78.53 + $50.21 + $52.40 = $181.14
Nathaniel paid a total of $181.14 in payroll tax.


Question: How much money does Cara need to buy a robot stamp and a bird postcard?

Answer: 0.42

deer postcard | $0.42
bird postcard | $0.24
robot stamp | $0.18
sheet of mountain stamps | $0.59
large cardboard box | $0.84
long white envelope | $0.19

deer postcard
bird postcard
robot stamp
sheet of mountain stamps
large cardboard box
long white envelope

Solution:
Add the price of a robot stamp and the price of a bird postcard:

$0.18 + $0.24 = $0.42

Cara needs $0.42.


Question: How much money does Eve need to buy a ladder, a wheelbarrow, and a broom?

Answer: 88.53

rake | $10.67
can of paint | $10.55
wheelbarrow | $34.96
shovel | $19.59
ladder | $41.97
broom | $11.60

rake
can of paint
wheelbarrow
shovel
ladder
broom

Solution:
Find the total cost of a ladder, a wheelbarrow, and a broom.

$41.97 + $34.96 + $11.60 = $88.53

Eve needs $88.53.


Question: Each apartment has 10 light switches. How many light switches are in 5 apartments?

Answer: 50

Number of apartments | Number of light switches
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 light switches in 5 apartments.


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{10 - 19}{12 - 11}
 = \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 - 19}{13 - 11}
 = \frac{-19}{2}
 = -9\frac{1}{2}
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.


Question: A bus driver paid attention to how many passengers her bus had each day. On which day did the bus have the most passengers?

Choices:
- Friday
- Saturday
- Sunday
- Monday

Answer: Monday

Day | Number of people
Friday | 61
Saturday | 62
Sunday | 60
Monday | 67

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 67.

Now find the corresponding day. Monday corresponds to 67.


Question: This is Duncan's complete financial record for July. On July 5, how much money did Duncan make?

Answer: 15

Date | Description | Received | Expenses | Available Funds
 | Balance: end of June | | | $450.70
7/5 | cleaning the Romeros' pool | $15.00 | | $465.70
7/17 | bottle of water | | $1.50 | $464.20
7/29 | swim trunks | | $16.80 | $447.40

Balance: end of June
cleaning the Romeros' pool
bottle of water
swim trunks

Solution: Look at the 7/5 row. The amount received was $15.00. So, Duncan made $15.00 on July 5.


Question: Each laundry basket has 10 turtleneck sweaters. How many turtleneck sweaters are in 5 laundry baskets?

Answer: 50

Number of laundry baskets | Number of turtleneck sweaters
1 | 10
2 | 20
3 | 30
4 | 40
5 | ?

Solution: Count by tens. Use the chart: there are 50 turtleneck sweaters in 5 laundry baskets.


Question: Emmy went to the store. She bought 4 kilograms of rotini pasta and 4 kilograms of spirali pasta. How much did she spend?

Answer: 23.28

farfalle pasta | $2.49 per kg
rotini pasta | $2.86 per kg
spirali pasta | $2.96 per kg
penne pasta | $2.25 per kg

farfalle pasta
rotini pasta
spirali pasta
penne pasta

$2.49 per kg
$2.86 per kg
$2.96 per kg
$2.25 per kg

Solution:
Find the cost of the rotini pasta. Multiply:

$2.86 × 4 = $11.44

Find the cost of the spirali pasta. Multiply:

$2.96 × 4 = $11.84

Now find the total cost by adding:

$11.44 + $11.84 = $23.28

She spent $23.28.


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{10 - 20}{7 - 6}
 = \frac{-10}{1}
 = -10
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 - 20}{8 - 6}
 = \frac{-20}{2}
 = -10
The two rates of change are the same.
10.
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: Ted graphed the amount of snow that fell in the last 5 days. What is the mean of the numbers?

Answer: 4

Day | Snowfall (inches)
Thursday | 9
Friday | 2
Saturday | 8
Sunday | 0
Monday | 1

Solution:
Read the numbers from the table.

9, 2, 8, 0, 1

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

9 + 2 + 8 + 0 + 1 = 20

Now divide the sum by the number of numbers:

20 ÷ 5 = 4

The mean is 4.


Question: A cookie factory monitored the number of broken cookies per pack yesterday. How many packs had at least 30 broken cookies?

Answer: 23

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

You counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 packs had at least 30 broken cookies.


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

Answer: 17

Name | Number of stickers
Kurt | 57
Marie | 71
Albert | 61
Felipe | 73
Cody | 74
Hakim | 71
Jen | 61
Todd | 60

Kurt Marie Albert Felipe Cody Hakim Jen Todd

Solution:
Read the numbers from the table.

57, 71, 61, 73, 74, 71, 61, 60

First, find the greatest number. The greatest number is 74.

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

Subtract the least number from the greatest number:

74 − 57 = 17

The range is 17.


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

Answer: 44

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 4.

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

The smallest number of pages is 44 pages.


Question: The Salem Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students in the class have exactly 5 sweatshirts?

Answer: 17

Number of sweatshirts | Frequency
0 | 11
1 | 18
2 | 0
3 | 14
4 | 10
5 | 17
6 | 4

Solution:
Find the row for 5 sweatshirts and read the frequency. The frequency is 17.

17 students have exactly 5 sweatshirts.


Question: How much money does Betty need to buy a yellow skirt and a plaid scarf?

Answer: 15

orange T-shirt | $5
blue tank top | $7
plaid scarf | $6
striped shirt | $3
yellow skirt | $9
purple T-shirt | $1

orange T-shirt
blue tank top
plaid scarf
striped shirt
yellow skirt
purple T-shirt

Solution:
Add the price of a yellow skirt and the price of a plaid scarf:

$9 + $6 = $15

Betty needs $15.


Question: Some friends went bowling and kept track of their scores. Who had the lowest score?

Choices:
- Austen
- Sebastian
- Trent
- Philip

Answer: Philip

Name | Score
Austen | 168
Sebastian | 161
Trent | 186
Philip | 118

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.

Now find the corresponding name. Philip corresponds to 118.


Question: Look at the following schedule. Haley got on the train at Dover at 1.45 P.M. What time will she get to Middletown?

Choices:
- 3:45 P.M.
- 6:00 P.M.
- 3:00 P.M.
- 4:30 P.M.

Answer: 4:30 P.M.

Clarksville Arcadia Fairview Somerville Dover Newton Middletown Silvergrove Morristown

Solution:
Find 1:45 P. M. in the row for Dover. That column shows the schedule for the train that Haley is on.

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

Haley will get to Middletown at 4:30 P. M.


Question: The financial aid office at Murphy University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2018 and 2019?

Answer: -14

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{22 students - 36 students}{2019 - 2018}
 = \frac{22 students - 36 students}{1 year}
 = \frac{-14 students}{1 year}
 = -14 students per year
The rate of change between 2018 and 2019 was - 14 students per year.


Question: Some friends played miniature golf and wrote down their scores. What is the mode of the numbers?

Answer: 65

Name | Score
Aisha | 66
Lucy | 63
Emma | 63
Ted | 65
Owen | 65
Greta | 65
Bert | 66

Solution:
Read the numbers from the table.

66, 63, 63, 65, 65, 65, 66

First, arrange the numbers from least to greatest:

63, 63, 65, 65, 65, 66, 66

Now count how many times each number appears.

63 appears 2 times.
65 appears 3 times.
66 appears 2 times.

The number that appears most often is 65.

The mode is 65.


Question: Jon counted the number of silver beads on each bracelet at Newport Jewelry, the store where he works. How many bracelets had at least 30 silver beads but fewer than 50 silver beads?

Answer: 5

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

You counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 bracelets had at least 30 silver beads but fewer than 50 silver beads.


Question: Maria counted the number of desks in each classroom at her school. How many classrooms have fewer than 26 desks?

Answer: 7

Solution:
Count all the leaves in the row with stem 1.

In the row with stem 2, count all the leaves less than 6.

You counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 classrooms have fewer than 26 desks.


Question: How much money does Marvin need to buy a picture book and a coloring book?

Answer: 31

history book | $16
poetry book | $13
crossword puzzle book | $21
geography book | $18
picture book | $15
coloring book | $16

history book
poetry book
crossword puzzle book
geography book
picture book
coloring book

Solution:
Add the price of a picture book and the price of a coloring book:

$15 + $16 = $31

Marvin needs $31.


Question: To figure out how many vacation days he had left to use, Rob looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2015 and 2016?

Answer: -3

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{9 vacation days - 12 vacation days}{2016 - 2015}
 = \frac{9 vacation days - 12 vacation days}{1 year}
 = \frac{-3 vacation days}{1 year}
 = -3 vacation days per year
The rate of change between 2015 and 2016 was - 3 vacation days per year.


Question: Shane's school reported how many members each sports team had. Which team has the most members?

Choices:
- wrestling team
- volleyball team
- track team
- swimming team

Answer: volleyball team

Team | Number of members
wrestling team | 27
volleyball team | 29
track team | 21
swimming team | 26

wrestling team
volleyball team
track team
swimming team

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

Now find the corresponding team. Volleyball team corresponds to 29.


Question: Natalie graphed the temperature at noon for 7 days. What is the range of the numbers?

Answer: 2

Day | Temperature (Â°C)
Wednesday | 6
Thursday | 5
Friday | 4
Saturday | 5
Sunday | 4
Monday | 5
Tuesday | 6

Wednesday Thursday Friday Saturday Sunday Monday Tuesday

Solution:
Read the numbers from the table.

6, 5, 4, 5, 4, 5, 6

First, find the greatest number. The greatest number is 6.

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

Subtract the least number from the greatest number:

6 − 4 = 2

The range is 2.


Question: If Emma buys 4 kilograms of green beads and 1 kilogram of yellow beads, how much will she spend?

Answer: 14.83

black beads | $1.69/kg
green beads | $3.11/kg
yellow beads | $2.39/kg
orange beads | $1.97/kg

black beads
green beads
yellow beads
orange beads

Solution:
Find the cost of the green beads. Multiply:

$3.11 × 4 = $12.44

Find the cost of the yellow beads. Multiply:

$2.39 × 1 = $2.39

Now find the total cost by adding:

$12.44 + $2.39 = $14.83

She will spend $14.83.


Question: For an assignment, Brody looked at which countries got the most Nobel Prizes in various decades. In the 1970s, how many more Nobel Prize winners did Russia have than Italy?

Answer: 3

Country | 1960s | 1970s
Italy | 2 | 2
Canada | 1 | 2
Russia | 4 | 5

Solution:
Find the 1970 s column. Find the numbers in this column for Russia and Italy.

Russia: 5
Italy: 2

Now subtract:

5 − 2 = 3

Russia had 3 more Nobel Prize winners in the 1970 s than Italy.


Question: Each bracelet has 10 opals. How many opals are on 6 bracelets?

Answer: 60

Number of bracelets | Number of opals
1 | 10
2 | 20
3 | 30
4 | 40
5 | 50
6 | ?

Solution: Count by tens. Use the chart: there are 60 opals on 6 bracelets.


Question: A technical support line tracked how many calls it received each day. What is the range of the numbers?

Answer: 17

Day | Number of calls
Saturday | 54
Sunday | 51
Monday | 54
Tuesday | 58
Wednesday | 68

Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

54, 51, 54, 58, 68

First, find the greatest number. The greatest number is 68.

Next, find the least number. The least number is 51.

Subtract the least number from the greatest number:

68 − 51 = 17

The range is 17.


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{13 - 11}{13 - 12}
 = \frac{2}{1}
 = 2
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{19 - 13}{14 - 13}
 = \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: A researcher recorded the number of cows on each farm in the county. What is the largest number of cows?

Answer: 88

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.

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

The largest number of cows has a stem of 8 and a leaf of 8. Write the stem first, then the leaf: 88.

The largest number of cows is 88 cows.


Question: The shop teacher, Mr. Sherman, wrote down how many picture frames the students made last week. How many students made at least 1 picture frame?

Answer: 37

Picture frames made | Frequency
0 | 6
1 | 2
2 | 8
3 | 4
4 | 13
5 | 10

Solution:
Find the rows for 1, 2, 3, 4, and 5 picture frames. Add the frequencies for these rows.

Add:

2 + 8 + 4 + 13 + 10 = 37

37 students made at least 1 picture frame.


Question: During health class, the students reported the number of times they ate fast food last month. How many students ate fast food more than 1 time?

Answer: 4

Times eaten | Frequency
0 | 15
1 | 17
2 | 3
3 | 1

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

Add:

3 + 1 = 4

4 students ate fast food more than 1 time.


Question: The bird-watching club recorded how many birds its members saw each month. How many birds total did the club see in October and December?

Answer: 4,412

Month | Number of birds
September | 5,975
October | 1,426
November | 2,750
December | 2,986

Solution:
Find the numbers in the table.

October: 1,426
December: 2,986

Now add: 1,426 + 2,986 = 4,412.

The club saw 4,412 birds in October and December.


Question: In order to complete their model of a futuristic highway, students in Ms. Cara's design class find out how many toy cars each student can bring to class. How many students are there in all?

Answer: 29

Number of toy cars | Frequency
0 | 5
1 | 3
2 | 13
3 | 8

Solution:
Add the frequencies for each row.

Add:

5 + 3 + 13 + 8 = 29

There are 29 students in all.


Question: How much money does Jane need to buy a night's stay at Crescent Motel and a night's stay at White Oak Motel?

Answer: 591

night's stay at White Oak Motel | $244
night's stay at Summit Hotel and Spa | $242
night's stay at Crescent Motel | $347
night's stay at Lakeview Hotel | $528

night's stay at White Oak Motel
night's stay at Summit Hotel and Spa
night's stay at Crescent Motel
night's stay at Lakeview Hotel

Solution:
Add the price of a night's stay at Crescent Motel and the price of a night's stay at White Oak Motel:

$347 + $244 = $591

Jane needs $591.


Question: At a swim meet, Wyatt noted the size of various swim teams. How many teams have fewer than 80 swimmers?

Answer: 21

Swimming team sizes (number of swimmers)

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

You counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 teams have fewer than 80 swimmers.


Question: Each necklace has 10 orange beads. How many orange beads are on 6 necklaces?

Answer: 60

Number of necklaces | Number of orange beads
1 | 10
2 | 20
3 | 30
4 | 40
5 | 50
6 | ?

Solution: Count by tens. Use the chart: there are 60 orange beads on 6 necklaces.


Question: Look at the table. Then answer the question. At a price of $360, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $360, 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: Polly's classmates revealed how many science articles they read. What is the mean of the numbers?

Answer: 35

Name | Number of science articles
Polly | 37
Kendrick | 31
Leo | 40
Tiana | 36
Erica | 36
Aaliyah | 26
Scott | 39

Polly Kendrick Leo Tiana Erica Aaliyah Scott

Solution:
Read the numbers from the table.

37, 31, 40, 36, 36, 26, 39

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

37 + 31 + 40 + 36 + 36 + 26 + 39 = 245

Now divide the sum by the number of numbers:

245 ÷ 7 = 35

The mean is 35.


Question: Students at Fairfax High School were polled regarding their favorite drinks. What fraction of students preferred fruit punch? Simplify your answer.

Answer: 34/79

Drink | Number of students
Diet cola | 450
Fruit punch | 680
Lemon-lime soda | 130
Other | 320

Diet cola
Fruit punch
Lemon-lime soda
Other

Solution:
Find how many students preferred fruit punch.

680

Find how many students were polled in total.

450 + 680 + 130 + 320 = 1,580

Divide 680 by1,580.

\frac{680}{1,580}

Reduce the fraction.

\frac{680}{1,580} → \frac{34}{79}

\frac{34}{79} of students preferred fruit punch.


Question: For an economics project, Alana determined the cost of ferry rides for bicycles and cars. On the Fauntleroy-Vashon ferry, how much higher is the fare for a car than for a bicycle?

Answer: 10

Ferry | Bicycle | Car
Ocracoke | $3 | $15
Southport-Fort Fisher | $2 | $5
Fauntleroy-Vashon | $5 | $15

Ocracoke
Southport-Fort Fisher
Fauntleroy-Vashon

Solution:
Find the Fauntleroy-Vashon row. Find the numbers in this row for car and bicycle.

car: $15.00
bicycle: $5.00

Now subtract:

$15.00 − $5.00 = $10.00

On the Fauntleroy-Vashon ferry, the fare for a car is $10 higher than the fare for a bicycle.


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

Choices:
- 2:55 P.M.
- 12:05 P.M.
- 1:55 P.M.
- 4:05 P.M.

Answer: 12:05 P.M.

shot put
women's relay
pole vault
100-meter dash
triple jump
men's relay

Solution:
Find the shot put on the schedule. Find the end time for the shot put.

shot put: 12:05 P. M.


Question: A soccer coach asked the members of his team how many times they played soccer last week. How many people played soccer exactly 4 times last week?

Answer: 4

Times played | Frequency
0 | 15
1 | 17
2 | 19
3 | 2
4 | 4

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

4 people played soccer exactly 4 times last week.


Question: A city planner counted the number of floors per building in the downtown area. What is the largest number of floors?

Answer: 37

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 3.

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

The largest number of floors has a stem of 3 and a leaf of 7. Write the stem first, then the leaf: 37.

The largest number of floors is 37 floors.


Question: Addison counted all the beads in each necklace at the jewelry store where she works. How many necklaces had at least 30 beads but fewer than 40 beads?

Answer: 4

Solution:
Count all the leaves in the row with stem 3.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 necklaces had at least 30 beads but fewer than 40 beads.


Question: A city planner counted the number of floors per building in the downtown area. What is the smallest number of floors?

Answer: 10

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

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

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

The smallest number of floors is 10 floors.


Question: How much money does Jada need to buy a baseball ticket, a tennis ticket, and a soccer ticket?

Answer: 174

tennis ticket | $78
soccer ticket | $70
baseball ticket | $26
basketball ticket | $21
football ticket | $90

tennis ticket
soccer ticket
baseball ticket
basketball ticket
football ticket

Solution:
Find the total cost of a baseball ticket, a tennis ticket, and a soccer ticket.

$26 + $78 + $70 = $174

Jada needs $174.


Question: Clayton just downloaded the new game Gem Excavator on his phone. In the first level, Clayton gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Clayton's points. Which color gem affects Clayton's points less?

Choices:
- green
- red

Answer: green

Gem color | Change in points
Green | 25
Red | -40

Solution:
To find the gem that affects Clayton's points less, use absolute value. Absolute value tells you how much Clayton's points change for each color gem.
Green: |25| = 25
Red: |-40| = 40
Clayton gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Clayton's points less.


Question: The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had fewer than 27 birds?

Answer: 0

Solution:
In the row with stem 2, count all the leaves less than 7.

You counted 0 leaves. 0 flocks had fewer than 27 birds.


Question: A city's school board compared how many students attend each high school. Which school has the most students?

Choices:
- Truman High
- Oak High
- Hillcrest High
- Watson High

Answer: Truman High

School | Number of students
Truman High | 776
Oak High | 764
Hillcrest High | 746
Watson High | 747

Truman High
Oak High
Hillcrest High
Watson High

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 776.

Now find the corresponding school. Truman High corresponds to 776.


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

Answer: 5

Name | Age (years)
Zeke | 8
David | 7
Haley | 7
Andy | 10
Jasper | 8
Bridgette | 12
Cole | 8
Molly | 7

Zeke David Haley Andy Jasper Bridgette Cole Molly

Solution:
Read the numbers from the table.

8, 7, 7, 10, 8, 12, 8, 7

First, find the greatest number. The greatest number is 12.

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

Subtract the least number from the greatest number:

12 − 7 = 5

The range is 5.


Question: What is the total cost for 9/10 of a pound of sage?

Answer: 5.40

cilantro | $9/lb
sage | $6/lb
thyme | $4/lb
parsley | $6/lb
mint | $9/lb
rosemary | $5/lb

cilantro sage thyme parsley mint rosemary

Solution:
Find the cost of the sage. Multiply the price per pound by the number of pounds.
$6 × \frac{9}{10} = $6 × 0.9 = $5.40
The total cost is $5.40.


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

Answer: 3

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

coconut caramel
lemon
mint chocolate
marshmallow
peanut butter

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


Question: This is Sandra's complete financial record for December. How much money did Sandra spend on December 29?

Answer: 7.80

Date | Description | Received | Expenses | Available Funds
 | Balance: end of November | | | $328.20
12/5 | wrapping paper | | $4.95 | $323.25
12/16 | watching Ms. Simon's cat | $15.00 | | $338.25
12/29 | calendar | | $7.80 | $330.45

Balance: end of November
wrapping paper
watching Ms. Simon's cat
calendar

Solution: Look at the 12/29 row. The expenses were $7.80. So, Sandra spent $7.80 on December 29.


Question: Sharon's class paid attention to how many bottles each student collected for their recycling project. Who collected the fewest bottles?

Choices:
- Sharon
- Darren
- Jayce
- Richard

Answer: Darren

Name | Number of bottles
Sharon | 798
Darren | 747
Jayce | 779
Richard | 749

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 747.

Now find the corresponding name. Darren corresponds to 747.


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

Answer: 40

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

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


Question: Lisa buys 1 pound of safety pins. What is the total cost?

Answer: 3

picture hooks | $2 per pound
teeth hooks | $3 per pound
pushpins | $2 per pound
t-pins | $3 per pound
safety pins | $3 per pound

picture hooks
teeth hooks
pushpins
t-pins
safety pins

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

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

$3 × 1 = $3

The total cost is $3.


Question: Louis's class paid attention to how many bottles each student collected for their recycling project. Who collected the fewest bottles?

Choices:
- Louis
- Ashley
- Trent
- Patty

Answer: Trent

Name | Number of bottles
Louis | 727
Ashley | 774
Trent | 724
Patty | 742

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 724.

Now find the corresponding name. Trent corresponds to 724.


Question: Kevin has $13,757. How much money will Kevin have left if he buys a precision balance and a laboratory freezer?

Answer: 5,737

telescope | $8,429
precision balance | $4,472
laboratory freezer | $3,548
microscope | $2,110

telescope
precision balance
laboratory freezer
microscope

Solution:
Find the total cost of a precision balance and a laboratory freezer.

$4,472 + $3,548 = $8,020

Now subtract the total cost from the starting amount.

$13,757 - $8,020 = $5,737

Kevin will have $5,737 left.


Question: Mrs. Murphy 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 2016 and 2017?

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{18 rounds - 11 rounds}{2017 - 2016}
 = \frac{18 rounds - 11 rounds}{1 year}
 = \frac{7 rounds}{1 year}
 = 7 rounds per year
The rate of change between 2016 and 2017 was 7 rounds per year.


Question: Charlie has $1.34. Does he have enough to buy a bottle of hot sauce and a jar of tomato sauce?

Choices:
- yes
- no

Answer: no

bottle of hot sauce | $0.95
bottle of mustard | $0.91
bottle of vinegar | $0.46
bottle of soy sauce | $0.77
bottle of ketchup | $0.94
jar of tomato sauce | $0.41

bottle of hot sauce
bottle of mustard
bottle of vinegar
bottle of soy sauce
bottle of ketchup
jar of tomato sauce

Solution:
Add the price of a bottle of hot sauce and the price of a jar of tomato sauce:

$0.95 + $0.41 = $1.36

$1.36 is more than $1.34. Charlie does not have enough money.


Question: Lara has $2.53. How much money will Lara have left if she buys a sand castle magnet and a picture of a shark?

Answer: 0.87

tiny bottle of sand | $0.41
sand castle magnet | $0.73
palm tree magnet | $0.68
picture of a shark | $0.93

tiny bottle of sand
sand castle magnet
palm tree magnet
picture of a shark

Solution:
Find the total cost of a sand castle magnet and a picture of a shark.

$0.73 + $0.93 = $1.66

Now subtract the total cost from the starting amount.

$2.53 - $1.66 = $0.87

Lara will have $0.87 left.


Question: Mr. Freeman, a track coach, recorded the sizes of all the nearby track teams. What is the size of the smallest team?

Answer: 40

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 size of the smallest team has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.

The size of the smallest team is 40 members.


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

Choices:
- yes
- no

Answer: no

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

The x-value 7 is paired with multiple y-values, so the relation is not a function.


Question: How much money does Eduardo need to buy 7 badminton sets and 8 baseball bats?

Answer: 193.03

basketball | $11.25
volleyball | $12.45
baseball bat | $14.46
badminton set | $11.05

basketball
volleyball
baseball bat
badminton set

Solution:
Find the cost of 7 badminton sets.

$11.05 × 7 = $77.35

Find the cost of 8 baseball bats.

$14.46 × 8 = $115.68

Now find the total cost.

$77.35 + $115.68 = $193.03

Eduardo needs $193.03.


Question: At a candy factory, butterscotch candies were packaged into bags of different sizes. What is the smallest number of butterscotch candies?

Answer: 13

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

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

The smallest number of butterscotch candies has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.

The smallest number of butterscotch candies is 13 butterscotch candies.


Question: Clarksville Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had at least 53 broken tiles?

Answer: 8

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

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

You counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 shipments had at least 53 broken tiles.


Question: A baker wrote down how many pies she made in the past 7 days. What is the median of the numbers?

Answer: 6

Day | Number of pies
Thursday | 10
Friday | 6
Saturday | 6
Sunday | 8
Monday | 3
Tuesday | 1
Wednesday | 9

Thursday Friday Saturday Sunday Monday Tuesday Wednesday

Solution:
Read the numbers from the table.

10, 6, 6, 8, 3, 1, 9

First, arrange the numbers from least to greatest:

1, 3, 6, 6, 8, 9, 10

Now find the number in the middle.

1, 3, 6, 6, 8, 9, 10

The number in the middle is 6.

The median is 6.


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

Answer: 38

Whales spotted | Frequency
0 | 16
1 | 17
2 | 5
3 | 20
4 | 14

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

Add:

16 + 17 + 5 = 38

38 people saw fewer than 3 whales.


Question: A juice shop tracked how many smoothies it sold in the past 4 days. How many smoothies in total did the shop sell on Monday and Wednesday?

Answer: 287

Day | Number of smoothies
Sunday | 386
Monday | 106
Tuesday | 314
Wednesday | 181

Solution:
Find the numbers in the table.

Monday: 106
Wednesday: 181

Now add: 106 + 181 = 287.

The shop sold 287 smoothies on Monday and Wednesday.


Question: The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 30 roses?

Answer: 16

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

You counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 bushes have at least 30 roses.


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 2011 and 2012?

Answer: 3

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{26 kilograms - 23 kilograms}{2012 - 2011}
 = \frac{26 kilograms - 23 kilograms}{1 year}
 = \frac{3 kilograms}{1 year}
 = 3 kilograms per year
The rate of change between 2011 and 2012 was 3 kilograms per year.


Question: Some friends went bowling and kept track of their scores. Who had the lowest score?

Choices:
- Mabel
- Paula
- Tori
- Shelby

Answer: Paula

Name | Score
Mabel | 195
Paula | 115
Tori | 159
Shelby | 191

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 115.

Now find the corresponding name. Paula corresponds to 115.


Question: A machine dispensed red gumdrops into bags of various sizes. How many bags had exactly 50 red gumdrops?

Answer: 4

Solution:
For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had exactly 50 red gumdrops.


Question: An ice cream shop kept track of how many ice cream cones it sold in the past 5 days. What is the median of the numbers?

Answer: 66

Day | Number of ice cream cones
Friday | 55
Saturday | 65
Sunday | 77
Monday | 66
Tuesday | 77

Solution:
Read the numbers from the table.

55, 65, 77, 66, 77

First, arrange the numbers from least to greatest:

55, 65, 66, 77, 77

Now find the number in the middle.

55, 65, 66, 77, 77

The number in the middle is 66.

The median is 66.


Question: Convinced that she could do well as a competitor, Wanda tracked the scores on a TV game show over the course of a week. Which score did the fewest people receive?

Answer: 6

Solution: Look at the frequency column. Find the least frequency. The least frequency is 2, which is in the row for 6. The fewest people scored 6.


Question: Each tool box has 2 screwdrivers. How many screwdrivers are in 6 tool boxes?

Answer: 12

Number of tool boxes | Number of screwdrivers
1 | 2
2 | 4
3 | 6
4 | 8
5 | 10
6 | ?

Solution: Count by twos. Use the chart: there are 12 screwdrivers in 6 tool boxes.


Question: A researcher recorded the number of cows on each farm in the county. How many farms have at least 30 cows but fewer than 33 cows?

Answer: 2

Solution:
Find the row with stem 3. Count all the leaves greater than or equal to 0 and less than 3.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 farms have at least 30 cows but fewer than 33 cows.


Question: Mia's P.E. class participated in a push-up competition, and Mia wrote down how many push-ups each person could do. How many people did exactly 51 push-ups?

Answer: 2

Push-up competition (number of push-ups)

Solution:
For the number 51, the stem is 5, and the leaf is 1. Find the row where the stem is 5. In that row, count all the leaves equal to 1.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people did exactly 51 push-ups.


Question: How much money does Chloe need to buy 3 laptop computers?

Answer: 1,842

video game system | $469
laptop computer | $614
big screen TV | $702
portable DVD player | $359
cell phone | $329
digital camera | $538

video game system
laptop computer
big screen TV
portable DVD player
cell phone
digital camera

Solution:
Find the total cost of 3 laptop computers by multiplying 3 times the price of a laptop computer.

$614 × 3 = $1,842

Chloe needs $1,842.


Question: Sophia recalled how many minutes she had spent at choir rehearsal in the past 3 days. How many more minutes did Sophia rehearse on Tuesday than on Wednesday?

Answer: 113

Day | Minutes
Tuesday | 230
Wednesday | 117
Thursday | 249

Solution:
Find the numbers in the table.

Tuesday: 230
Wednesday: 117

Now subtract: 230 - 117 = 113.

Sophia rehearsed for 113 more minutes on Tuesday.


Question: Each pond has 5 frogs. How many frogs are in 4 ponds?

Answer: 20

Number of ponds | Number of frogs
1 | 5
2 | 10
3 | 15
4 | ?

Solution: Count by fives. Use the chart: there are 20 frogs in 4 ponds.


Question: How much money does Jason need to buy a set of forks and a baking dish?

Answer: 26.88

set of dishes | $25.05
set of forks | $11.35
cookie jar | $14.36
cutting board | $10.52
baking dish | $15.53
soup pot | $67.53

set of dishes
set of forks
cookie jar
cutting board
baking dish
soup pot

Solution:
Add the price of a set of forks and the price of a baking dish:

$11.35 + $15.53 = $26.88

Jason needs $26.88.


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

Answer: 8

Teacher | Number of years
Mr. Perez | 10
Ms. Yamamoto | 8
Mr. Boone | 10
Mrs. Ramirez | 9
Miss Torres | 10
Mr. Park | 3
Miss Lim | 6

Mr. Perez
Ms. Yamamoto
Mr. Boone
Mrs. Ramirez
Miss Torres
Mr. Park
Miss Lim

Solution:
Read the numbers from the table.

10, 8, 10, 9, 10, 3, 6

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

10 + 8 + 10 + 9 + 10 + 3 + 6 = 56

Now divide the sum by the number of numbers:

56 ÷ 7 = 8

The mean is 8.


Question: Look at the table. Then answer the question. At a price of $725, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $725, 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 band from Newport went on tour over the summer, and each member chipped in for the cost of gas. What fraction of the gas money came from Lily? Simplify your answer.

Answer: 76/367

Band member | Contribution ($)
Lily | 760
Raymond | 420
Dominic | 850
Travis | 410
Ernest | 820
Sharon | 410

Lily Raymond Dominic Travis Ernest Sharon

Solution:
Find how much money Lily contributed for gas.

760

Find how much money was contributed for gas in total.

760 + 420 + 850 + 410 + 820 + 410 = 3,670

Divide 760 by 3,670.

\frac{760}{3,670}

Reduce the fraction.

\frac{760}{3,670} → \frac{76}{367}

\frac{76}{367} of Find how much money Lily contributed for gas.


Question: Grace's school reported how many members each sports team had. Which team has the most members?

Choices:
- baseball team
- football team
- water polo team
- volleyball team

Answer: baseball team

Team | Number of members
baseball team | 38
football team | 37
water polo team | 34
volleyball team | 35

baseball team
football team
water polo team
volleyball team

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 38.

Now find the corresponding team. Baseball team corresponds to 38.


Question: A teacher randomly drew names from a hat to assign her students to field day committees. Are there fewer girls on the decorations committee or the schedule committee?

Choices:
- schedule
- decorations

Answer: decorations

Committee | Girls | Boys
Food | 6 | 12
Decorations | 3 | 14
Schedule | 12 | 6

Solution:
Find the Girls column. Compare the numbers in this column for decorations and schedule.

3 is less than 12. Fewer girls are on the decorations committee.


Question: Fans of the Salem baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2019 and 2020?

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{42 games - 37 games}{2020 - 2019}
 = \frac{42 games - 37 games}{1 year}
 = \frac{5 games}{1 year}
 = 5 games per year
The rate of change between 2019 and 2020 was 5 games per year.


Question: Look at the table. Then answer the question. At a price of $845, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $845, 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: Professor Joyce informed his students of their scores on the midterm exam. How many students scored exactly 85 points?

Answer: 1

Solution:
For the number 85, the stem is 8, and the leaf is 5. Find the row where the stem is 8. In that row, count all the leaves equal to 5.

You counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly 85 points.


Question: The financial aid office at Richmond 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: 3

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{27 students - 24 students}{2011 - 2010}
 = \frac{27 students - 24 students}{1 year}
 = \frac{3 students}{1 year}
 = 3 students per year
The rate of change between 2010 and 2011 was 3 students per year.


Question: Nolan has $1,425.00. Does he have enough to buy a wetsuit and a mountain bike?

Choices:
- yes
- no

Answer: yes

set of golf clubs | $390.00
snowboard | $910.00
mountain bike | $763.00
wetsuit | $660.00

set of golf clubs
snowboard
mountain bike
wetsuit

Solution:
Add the price of a wetsuit and the price of a mountain bike:

$660.00 + $763.00 = $1,423.00

$1,423.00 is less than $1,425.00. Nolan does have enough money.


Question: An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Of the countries shown, which received the least aid per capita in 1975?

Choices:
- Afghanistan
- Algeria
- Libya

Answer: Libya

Country | 1965 | 1975
Afghanistan | $5 | $5
Libya | $4 | $2
Algeria | $12 | $11

Solution:
Look at the numbers in the 1975 column. Find the least number in this column.

The least number is $2.00, which is in the Libya row. In 1975, Libya received the least aid per capita.


Question: The members of the track team compared how many miles they ran last week. What is the range of the numbers?

Answer: 4

Name | Miles
Reid | 2
Malia | 2
Olivia | 3
Betty | 5
Jaden | 2
Ian | 6
Whitney | 3
Philip | 2

Reid Malia Olivia Betty Jaden Ian Whitney Philip

Solution:
Read the numbers from the table.

2, 2, 3, 5, 2, 6, 3, 2

First, find the greatest number. The greatest number is 6.

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

Subtract the least number from the greatest number:

6 − 2 = 4

The range is 4.


Question: What is the total cost for 4.7 pounds of dirt?

Answer: 9.40

mulch | $4 per pound
sand | $3 per pound
cement | $4 per pound
dirt | $2 per pound
sawdust | $5 per pound

$4 per pound
$3 per pound
$4 per pound
$2 per pound
$5 per pound

Solution:
Find the cost of the dirt. Multiply the price per pound by the number of pounds.
$2 × 4.7 = $9.40
The total cost is $9.40.


Question: How much more does an Australian vacation package cost than a Jamaican vacation package?

Answer: 2,625

European vacation package | $7,668
African safari vacation package | $4,813
Jamaican vacation package | $7,039
Australian vacation package | $9,664
Hawaiian vacation package | $4,383

European vacation package
African safari vacation package
Jamaican vacation package
Australian vacation package
Hawaiian vacation package

Solution:
Subtract the price of a Jamaican vacation package from the price of an Australian vacation package.

$9,664 - $7,039 = $2,625

An Australian vacation package costs $2,625 more than a Jamaican vacation package.


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

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{31 vacation days - 35 vacation days}{2018 - 2017}
 = \frac{31 vacation days - 35 vacation days}{1 year}
 = \frac{-4 vacation days}{1 year}
 = -4 vacation days per year
The rate of change between 2017 and 2018 was - 4 vacation days per year.


Question: A Technical Assistance Manager monitored his customers' wait times. How many people waited for exactly 40 minutes?

Answer: 3

Technical assistance wait times (minutes)

Solution:
For the number 40, the stem is 4, and the leaf is 0. Find the row where the stem is 4. In that row, count all the leaves equal to 0.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people waited for exactly 40 minutes.


Question: Reba's coach wrote down how many kilometers she had run over the past 6 days. What is the range of the numbers?

Answer: 7

Day | Kilometers
Tuesday | 3
Wednesday | 6
Thursday | 6
Friday | 8
Saturday | 10
Sunday | 7

Tuesday Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

3, 6, 6, 8, 10, 7

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

Choices:
- Saturday
- Sunday
- Monday
- Tuesday

Answer: Sunday

Day | Number of calls
Saturday | 282
Sunday | 218
Monday | 228
Tuesday | 281

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

Now find the corresponding day. Sunday corresponds to 218.


Question: Look at the following schedule. Which game begins at 3.40 P.M.?

Choices:
- Hawks versus Jaguars game
- Cardinals versus Cobras game
- Sharks versus Storm game
- Thunder versus Eagles game

Answer: Thunder versus Eagles game

Game | Begin | End
Tigers versus Wolves | 10:20 A.M. | 11:50 A.M.
Sharks versus Storm | 11:05 A.M. | 12:35 P.M.
Cardinals versus Cobras | 12:30 P.M. | 2:00 P.M.
Lightning versus Coyotes | 12:40 P.M. | 2:10 P.M.
Fire versus Blizzard | 1:15 P.M. | 2:45 P.M.
Dolphins versus Bears | 1:55 P.M. | 3:25 P.M.
Lions versus Blue Jays | 2:00 P.M. | 3:30 P.M.
Waves versus Alligators | 2:20 P.M. | 3:50 P.M.
Hawks versus Jaguars | 3:00 P.M. | 4:30 P.M.
Thunder versus Eagles | 3:40 P.M. | 5:10 P.M.

Tigers versus Wolves
Sharks versus Storm
Cardinals versus Cobras
Lightning versus Coyotes
Fire versus Blizzard
Dolphins versus Bears
Lions versus Blue Jays
Waves versus Alligators
Hawks versus Jaguars
Thunder versus Eagles

Solution: Find 3:40 P. M. on the schedule. The Thunder versus Eagles game begins at 3:40 P. M.


Question: An office manager counts the number of letters sent by each of his company's employees each week. How many employees mailed at least 2 letters?

Answer: 68

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

Add:

9 + 20 + 13 + 15 + 11 = 68

68 employees mailed at least 2 letters.


Question: How much more does a picture of a shark cost than a palm tree magnet?

Answer: 0.27

sand castle magnet | $0.52
plastic crab | $0.29
souvenir cup | $0.45
palm tree magnet | $0.59
picture of a shark | $0.86

sand castle magnet
plastic crab
souvenir cup
palm tree magnet
picture of a shark

Solution:
Subtract the price of a palm tree magnet from the price of a picture of a shark.

$0.86 - $0.59 = $0.27

A picture of a shark costs $0.27 more than a palm tree magnet.


Question: How much more does a night's stay at Bay Breeze Resort cost than a night's stay at Daybreak Motel?

Answer: 304

night's stay at Grand Vista Hotel | $406
night's stay at White Oak Motel | $367
night's stay at Bay Breeze Resort | $404
night's stay at Daybreak Motel | $100

night's stay at Grand Vista Hotel
night's stay at White Oak Motel
night's stay at Bay Breeze Resort
night's stay at Daybreak Motel

Solution:
Subtract the price of a night's stay at Daybreak Motel from the price of a night's stay at Bay Breeze Resort.

$404 - $100 = $304

A night's stay at Bay Breeze Resort costs $304 more than a night's stay at Daybreak Motel.


Question: Amy has $64.50. Does she have enough to buy a trivia game and a toy rocket?

Choices:
- yes
- no

Answer: yes

trivia game | $16.25
toy rocket | $46.80
toy guitar | $36.41
video game | $38.87

trivia game
toy rocket
toy guitar
video game

Solution:
Add the price of a trivia game and the price of a toy rocket:

$16.25 + $46.80 = $63.05

$63.05 is less than $64.50. Amy does have enough money.


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

Answer: 6

Day | Temperature (Â°C)
Thursday | 7
Friday | 9
Saturday | 9
Sunday | 4
Monday | 8
Tuesday | 6
Wednesday | 10

Solution:
Read the numbers from the table.

7, 9, 9, 4, 8, 6, 10

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

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

Subtract the least number from the greatest number:

10 − 4 = 6

The range is 6.


Question: Linda has $6.00. Does she have enough to buy a dog leash and a bag of birdseed?

Choices:
- yes
- no

Answer: yes

fish bowl | $7.00
dog bowl | $5.00
bag of birdseed | $3.00
dog leash | $3.00
bag of cat treats | $2.00

fish bowl
dog bowl
bag of birdseed
dog leash
bag of cat treats

Solution:
Add the price of a dog leash and the price of a bag of birdseed:

$3.00 + $3.00 = $6.00

Since Linda has $6.00, she has just enough money.


Question: Look at the following schedule. Austen got on the train at Floral Gardens at 6.00 P.M. What time will he get to Skyscraper City?

Choices:
- 2:45 P.M.
- 3:00 P.M.
- 9:45 A.M.
- 6:30 P.M.

Answer: 6:30 P.M.

Pleasant River Campground
Rollercoaster Land
Snowy Mountain
Chickenville
Comfy Pillows Resort
Happy Cow Farm
Floral Gardens
Skyscraper City
City of Green Trees

Solution:
Find 6:00 P. M. in the row for Floral Gardens. That column shows the schedule for the train that Austen is on.

Look down the column until you find the row for Skyscraper City.

Austen will get to Skyscraper City at 6:30 P. M.


Question: Each bracelet has 2 glass beads. How many glass beads are on 5 bracelets?

Answer: 10

Number of bracelets | Number of glass beads
1 | 2
2 | 4
3 | 6
4 | 8
5 | ?

Solution: Count by twos. Use the chart: there are 10 glass beads on 5 bracelets.


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

Answer: 6

Name | Score
Whitney | 8
Oscar | 3
Caden | 7
Sasha | 4
Zachary | 2
Quinn | 5
Emir | 3
Aiden | 5

Whitney Oscar Caden Sasha Zachary Quinn Emir Aiden

Solution:
Read the numbers from the table.

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

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

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

Subtract the least number from the greatest number:

8 − 2 = 6

The range is 6.


Question: An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. Of the countries shown, which received the least aid per capita in 2000?

Choices:
- Algeria
- Afghanistan
- Libya
- Pakistan

Answer: Libya

Country | 1990 | 2000
Pakistan | $10 | $5
Libya | $5 | $3
Algeria | $10 | $5
Afghanistan | $7 | $5

Country Pakistan Libya Algeria Afghanistan

Solution:
Look at the numbers in the 2000 column. Find the least number in this column.

The least number is $3.00, which is in the Libya row. In 2000, Libya received the least aid per capita.


Question: A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2010 and 2011?

Answer: -1

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{7 students - 8 students}{2011 - 2010}
 = \frac{7 students - 8 students}{1 year}
 = \frac{-1 students}{1 year}
 = -1 students per year
The rate of change between 2010 and 2011 was - 1 students per year.


Question: An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did lentils cost in 2005?

Answer: 12

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

This number is $12.00. In 2005, lentils cost $12 per cwt.


Question: Baldwin counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. What is the probability that a randomly selected box of cereal is regular size and contains one prize? Simplify any fractions.

Answer: 2/5

 | One prize | Two prizes
Mini size | 1 | 3
Regular size | 4 | 2

Solution:
Let A be the event "the box of cereal is regular size" and B be the event "the box of cereal contains one prize".
To find the probability that a box of cereal is regular size and contains one prize, first identify the sample space and the event.
The outcomes in the sample space are the different boxes of cereal. Each box of cereal is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the box of cereal is regular size and contains one prize".
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 box of cereal is regular size and contains one prize", so look at the table to see how many boxes of cereal are regular size and contain one prize.
The number of boxes of cereal that are regular size and contain one prize is 4.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of boxes of cereal.
1 + 4 + 3 + 2 = 10

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}{10}
 = \frac{2}{5}
The probability that a box of cereal is regular size and contains one prize is \frac{2}{5}.


Question: Look at the following schedule. At which stop does the train arrive at 9.00 A.M.?

Choices:
- Lakeview Boulevard
- Madison Avenue
- Locust Street
- Sunset Road

Answer: Madison Avenue

Location | Time
Madison Avenue | 9:00 A.M.
Smith Boulevard | 9:15 A.M.
River Boulevard | 10:05 A.M.
Locust Street | 10:30 A.M.
Spring Boulevard | 11:00 A.M.
Sycamore Street | 11:25 A.M.
Franklin Road | 11:45 A.M.
Sunset Road | 12:25 P.M.
Lakeview Boulevard | 1:05 P.M.

Madison Avenue
Smith Boulevard
River Boulevard
Locust Street
Spring Boulevard
Sycamore Street
Franklin Road
Sunset Road
Lakeview Boulevard

Solution: Find 9:00 A. M. on the schedule. The train arrives at Madison Avenue at 9:00 A. M.


Question: The advertising agency counted the number of billboards in each city in the state. How many cities have at least 47 billboards?

Answer: 9

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 7.

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

You counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 cities have at least 47 billboards.


Question: A pizza chef recalled how many pizzas he had made during the past 4 days. On which day did the chef make the fewest pizzas?

Choices:
- Friday
- Saturday
- Sunday
- Monday

Answer: Saturday

Day | Number of pizzas
Friday | 52
Saturday | 50
Sunday | 59
Monday | 58

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 50.

Now find the corresponding day. Saturday corresponds to 50.


Question: How much money does Ezra need to buy an egg sandwich, a bowl of melon, and a spinach omelette?

Answer: 13

spinach omelette | $3.00
bowl of melon | $3.00
breakfast burrito | $6.00
egg sandwich | $7.00

spinach omelette
bowl of melon
breakfast burrito
egg sandwich

Solution:
Find the total cost of an egg sandwich, a bowl of melon, and a spinach omelette.

$7.00 + $3.00 + $3.00 = $13.00

Ezra needs $13.00.


Question: A pumpkin patch monitored the number of pumpkins sold each day. How many pumpkins in total did the pumpkin patch sell on Friday and Sunday?

Answer: 8,940

Day | Number of pumpkins
Friday | 7,873
Saturday | 1,106
Sunday | 1,067

Solution:
Find the numbers in the table.

Friday: 7,873
Sunday: 1,067

Now add: 7,873 + 1,067 = 8,940.

The pumpkin patch sold 8,940 pumpkins on Friday and Sunday.


Question: Look at the following schedule. Manuel got on the 1.00 P.M. train at Floral Gardens. Can he get off at Happy Cow Farm?

Choices:
- yes
- no

Answer: no

Floral Gardens
Happy Cow Farm
Chickenville
Gecko Paradise

Solution:
Find 1:00 P. M. in the row for Floral Gardens. That column shows the schedule for the train that Manuel is on.

Look down the column until you find the row for Happy Cow Farm.

There is no time for Happy Cow Farm, so the train does not stop at Happy Cow Farm.


Question: Maggie has $62.00. Does she have enough to buy a crystal vase and a rug?

Choices:
- yes
- no

Answer: yes

chandelier | $92.93
ceramic vase | $47.58
rug | $10.48
crystal vase | $50.58

chandelier
ceramic vase
rug
crystal vase

Solution:
Add the price of a crystal vase and the price of a rug:

$50.58 + $10.48 = $61.06

$61.06 is less than $62.00. Maggie does have enough money.


Question: At their family reunion, the Santiago family recorded everyone's age. How many people are at least 40 years old but less than 80 years old?

Answer: 7

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

You counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people are at least 40 years old but less than 80 years old.


Question: A pizza chef recalled how many pizzas she had made during the past 7 days. What is the range of the numbers?

Answer: 28

Day | Number of pizzas
Sunday | 23
Monday | 33
Tuesday | 28
Wednesday | 5
Thursday | 7
Friday | 19
Saturday | 14

Solution:
Read the numbers from the table.

23, 33, 28, 5, 7, 19, 14

First, find the greatest number. The greatest number is 33.

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

Subtract the least number from the greatest number:

33 − 5 = 28

The range is 28.


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

Answer: 65

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.

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

The largest number of cracked window panes has a stem of 6 and a leaf of 5. Write the stem first, then the leaf: 65.

The largest number of cracked window panes is 65 cracked window panes.


Question: How much more does a blueberry cheesecake cost than a cherry pie?

Answer: 3.52

blueberry cheesecake | $13.70
chocolate cake | $12.19
cherry pie | $10.18
banana cream pie | $12.27
carrot cake | $17.56
pineapple upside-down cake | $19.12

blueberry cheesecake
chocolate cake
cherry pie
banana cream pie
carrot cake
pineapple upside-down cake

Solution:
Subtract the price of a cherry pie from the price of a blueberry cheesecake.

$13.70 - $10.18 = $3.52

A blueberry cheesecake costs $3.52 more than a cherry pie.


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

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

Answer: 7 hours and 45 minutes

Starfish City
Cliff View
Grassy Beach
Crest View
Foggy Port
Green Harbor
Pebble Town
Sandy Shores

Solution:
Read the times in the first column for Cliff View and Pebble Town.

Find the elapsed time between 8:00 A. M. and 3:45 P. M. The elapsed time is 7 hours and 45 minutes.

No matter which column of times you look at, the elapsed time is always 7 hours and 45 minutes.


Question: How much money does Vijay need to buy a piano key chain and a pumpkin key chain?

Answer: 1.82

rainbow key chain | $0.75
pumpkin key chain | $0.98
piano key chain | $0.84
puppy key chain | $0.94
globe key chain | $0.80
horse key chain | $0.68

rainbow key chain
pumpkin key chain
piano key chain
puppy key chain
globe key chain
horse key chain

Solution:
Add the price of a piano key chain and the price of a pumpkin key chain:

$0.84 + $0.98 = $1.82

Vijay needs $1.82.


Question: Malia has $118. Does she have enough to buy a tennis ticket and a hockey ticket?

Choices:
- yes
- no

Answer: no

tennis ticket | $96
football ticket | $82
basketball ticket | $75
soccer ticket | $70
golf ticket | $72
hockey ticket | $25

tennis ticket
football ticket
basketball ticket
soccer ticket
golf ticket
hockey ticket

Solution:
Add the price of a tennis ticket and the price of a hockey ticket:

$96 + $25 = $121

$121 is more than $118. Malia does not have enough money.


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

Choices:
- yes
- no

Answer: no

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

The x-value 9 is paired with multiple y-values, so the relation is not a function.


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

Answer: 4

Day | Number of people
Thursday | 2
Friday | 3
Saturday | 7
Sunday | 5
Monday | 3
Tuesday | 4

Thursday Friday Saturday Sunday Monday Tuesday

Solution:
Read the numbers from the table.

2, 3, 7, 5, 3, 4

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

2 + 3 + 7 + 5 + 3 + 4 = 24

Now divide the sum by the number of numbers:

24 ÷ 6 = 4

The mean is 4.


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

Answer: 3

Park | Number of basketball hoops
Canal Park | 3
Otter Park | 1
Linden Park | 3
Heron Park | 1
Kelly Park | 9
Riverfront Park | 3
Palm Park | 9

Canal Park
Otter Park
Linden Park
Heron Park
Kelly Park
Riverfront Park
Palm Park

Solution:
Read the numbers from the table.

3, 1, 3, 1, 9, 3, 9

First, arrange the numbers from least to greatest:

1, 1, 3, 3, 3, 9, 9

Now count how many times each number appears.

1 appears 2 times.
3 appears 3 times.
9 appears 2 times.

The number that appears most often is 3.

The mode is 3.


Question: How much money does Regan need to buy a pair of jeans and a pair of shorts?

Answer: 36

pair of jeans | $13
green dress | $19
yellow dress | $50
pair of shorts | $23
pair of shoes | $16
pair of sandals | $17

pair of jeans
green dress
yellow dress
pair of shorts
pair of shoes
pair of sandals

Solution:
Add the price of a pair of jeans and the price of a pair of shorts:

$13 + $23 = $36

Regan needs $36.


Question: Belle 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 Tuesday and Wednesday?

Answer: -5

Day | Emails
Sunday | 8
Monday | 10
Tuesday | 10
Wednesday | 5
Thursday | 8

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{5 emails - 10 emails}{1 day}
 = \frac{-5 emails}{1 day}
 = -5 emails per day
The rate of change between Tuesday and Wednesday was - 5 emails per day.


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

Answer: 5

Name | Number of clubs
Braden | 4
Adam | 1
Madelyn | 5
Javier | 9
Debbie | 3
Garrett | 8
Kevin | 9

Braden Adam Madelyn Javier Debbie Garrett Kevin

Solution:
Read the numbers from the table.

4, 1, 5, 9, 3, 8, 9

First, arrange the numbers from least to greatest:

1, 3, 4, 5, 8, 9, 9

Now find the number in the middle.

1, 3, 4, 5, 8, 9, 9

The number in the middle is 5.

The median is 5.


Question: Sally buys 3.5 kilograms of ricotta. How much does she spend?

Answer: 14

ricotta | $4/kilogram
Parmesan | $3/kilogram
cheddar | $2/kilogram
Swiss | $3/kilogram
American cheese | $4/kilogram

ricotta
Parmesan
cheddar
Swiss
American cheese

Solution:
Find the cost of the ricotta. Multiply the price per kilogram by the number of kilograms.
$4 × 3.5 = $14
She spends $14.


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

Answer: 9

Day | Hours
Friday | 9
Saturday | 6
Sunday | 9
Monday | 9
Tuesday | 6

Solution:
Read the numbers from the table.

9, 6, 9, 9, 6

First, arrange the numbers from least to greatest:

6, 6, 9, 9, 9

Now count how many times each number appears.

6 appears 2 times.
9 appears 3 times.

The number that appears most often is 9.

The mode is 9.


Question: Some friends compared the sizes of their stuffed animal collections. If you combine their collections, how many stuffed animals do Mariana and Brennan have?

Answer: 294

Name | Number of stuffed animals
Mariana | 175
Sharon | 627
Brennan | 119

Solution:
Find the numbers in the table.

Mariana: 175
Brennan: 119

Now add: 175 + 119 = 294.

Mariana and Brennan have 294 stuffed animals.


Question: In science class, Grace is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?

Choices:
- bromine mixture
- acetone mixture

Answer: bromine mixture

Mixture | Temperature (°C)
Bromine mixture | -4
Acetone mixture | 5

Solution:
A positive number means the temperature is above zero. A negative number means the temperature is below zero.
To find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.
Bromine mixture: |-4| = 4
Acetone mixture: |5| = 5
The temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.


Question: Charlie buys 4 pounds of soybeans and 4 pounds of sesame seeds. How much does he spend?

Answer: 28

lentils | $1/pound
sesame seeds | $6/pound
pumpkin seeds | $4/pound
soybeans | $1/pound
sunflower seeds | $2/pound
flax seeds | $5/pound

lentils
sesame seeds
pumpkin seeds
soybeans
sunflower seeds
flax seeds

Solution:
Find the cost of the soybeans. Multiply:

$1 × 4 = $4

Find the cost of the sesame seeds. Multiply:

$6 × 4 = $24

Now find the total cost by adding:

$4 + $24 = $28

He spends $28.


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

Choices:
- April
- May

Answer: April

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

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


Question: Pam kept track of how many boxes of cookies she sold over the past 7 days. What is the mode of the numbers?

Answer: 5

Day | Number of boxes
Friday | 5
Saturday | 4
Sunday | 4
Monday | 5
Tuesday | 5
Wednesday | 1
Thursday | 1

Friday Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

5, 4, 4, 5, 5, 1, 1

First, arrange the numbers from least to greatest:

1, 1, 4, 4, 5, 5, 5

Now count how many times each number appears.

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

The number that appears most often is 5.

The mode is 5.


Question: What is the total cost for 1 pound of licorice and 5 pounds of lemon sours?

Answer: 14

chocolate-covered raisins | $2 per pound
licorice | $4 per pound
lemon sours | $2 per pound
chocolates | $2 per pound

chocolate-covered raisins
licorice
lemon sours
chocolates

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

Solution:
Find the cost of the licorice. Multiply:

$4 × 1 = $4

Find the cost of the lemon sours. Multiply:

$2 × 5 = $10

Now find the total cost by adding:

$4 + $10 = $14

The total cost is $14.


Question: For an economics project, Connor determined the cost of ferry rides for bicycles and cars. On the Seattle-Bremerton ferry, how much higher is the fare for a car than for a bicycle?

Answer: 4

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

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

Solution:
Find the Seattle-Bremerton row. Find the numbers in this row for car and bicycle.

car: $12.00
bicycle: $8.00

Now subtract:

$12.00 − $8.00 = $4.00

On the Seattle-Bremerton ferry, the fare for a car is $4 higher than the fare for a bicycle.


Question: Dr. Wagner, a pediatrician, weighed all the children who recently visited his office. How many children weighed at least 60 pounds but less than 70 pounds?

Answer: 2

Solution:
Count all the leaves in the row with stem 6.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 children weighed at least 60 pounds but less than 70 pounds.


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

Choices:
- true
- false

Answer: false

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

Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune

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

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

Then compare the result to the volume of Mars. The volume of Mars is 1.63 x10^11 km^3, which is less than 6.08 x10^11 km^3. So, the volume of Mars is less than ten times as large as Mercury's.


Question: How much money does Pam need to buy a coffee pot and a teapot?

Answer: 30

apron | $12.00
teapot | $10.00
coffee pot | $20.00
frying pan | $12.00
glass bowl | $20.00

apron
teapot
coffee pot
frying pan
glass bowl

Solution:
Add the price of a coffee pot and the price of a teapot:

$20.00 + $10.00 = $30.00

Pam needs $30.00.


Question: Look at the following schedule. Reagan is at the post office. If she wants to arrive at the library at 11.00 A.M., what time should she get on the bus?

Choices:
- 2:30 P.M.
- 10:45 A.M.
- 10:15 A.M.
- 10:30 A.M.

Answer: 10:30 A.M.

the post office
the library
the mall
the movie theater
the zoo
the kickball field
the doctor's office
the grocery store

Solution:
Look at the row for the library. Find the bus that arrives at the library at 11:00 A. M.

Look up the column until you find the row for the post office.

Reagan should get on the bus at 10:30 A. M.


Question: Brad counted the pages in each book on his English class's required reading list. How many books had exactly 72 pages?

Answer: 3

Solution:
For the number 72, the stem is 7, and the leaf is 2. Find the row where the stem is 7. In that row, count all the leaves equal to 2.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 books had exactly 72 pages.


Question: A researcher recorded the number of cows on each farm in the county. How many farms have at least 70 cows but fewer than 100 cows?

Answer: 3

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

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 farms have at least 70 cows but fewer than 100 cows.


Question: Cole graphed the temperature at noon for 6 days. What is the mode of the numbers?

Answer: 6

Day | Temperature (Â°C)
Thursday | 6
Friday | 6
Saturday | 9
Sunday | 6
Monday | 9
Tuesday | 7

Solution:
Read the numbers from the table.

6, 6, 9, 6, 9, 7

First, arrange the numbers from least to greatest:

6, 6, 6, 7, 9, 9

Now count how many times each number appears.

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

The number that appears most often is 6.

The mode is 6.


Question: In trying to calculate how much money could be saved by packing lunch, Estelle recorded the amount she spent on lunch each day. According to the table, what was the rate of change between Sunday and Monday?

Answer: 3

Day | Amount spent
Sunday | $2
Monday | $5
Tuesday | $2
Wednesday | $2
Thursday | $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{$5 - $2}{1 day}
 = \frac{$3}{1 day}
 = $3 perday
The rate of change between Sunday and Monday was $3 perday.


Question: The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have fewer than 80 bricks?

Answer: 21

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

You counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 buildings have fewer than 80 bricks.


Question: The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 45 points but fewer than 52 points?

Answer: 6

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

In the row with stem 5, count all the leaves less than 2.

You counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 people scored at least 45 points but fewer than 52 points.


Question: Riley has $1,478.00. Does she have enough to buy a pair of designer boots and a designer skirt?

Choices:
- yes
- no

Answer: no

designer scarf | $723.00
pair of designer boots | $938.00
pair of designer shoes | $603.00
designer skirt | $585.00
designer handbag | $674.00

designer scarf
pair of designer boots
pair of designer shoes
designer skirt
designer handbag

Solution:
Add the price of a pair of designer boots and the price of a designer skirt:

$938.00 + $585.00 = $1,523.00

$1,523.00 is more than $1,478.00. Riley does not have enough money.


Question: How much money does Joy need to buy 6 model railroad sets?

Answer: 489

teddy bear | $14.62
model railroad set | $81.50
toy guitar | $18.28
chess board | $14.52

teddy bear
model railroad set
toy guitar
chess board

Solution:
Find the total cost of 6 model railroad sets by multiplying 6 times the price of a model railroad set.

$81.50 × 6 = $489.00

Joy needs $489.00.


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

Answer: 61

Name | Number of tennis balls
Carla | 65
Leroy | 65
Kenji | 57
Shawna | 61
Angie | 61

Solution:
Read the numbers from the table.

65, 65, 57, 61, 61

First, arrange the numbers from least to greatest:

57, 61, 61, 65, 65

Now find the number in the middle.

57, 61, 61, 65, 65

The number in the middle is 61.

The median is 61.


Question: Kate baked cookies each day for a bake sale. How many cookies in total did Kate bake on Saturday and Tuesday?

Answer: 297

Day | Number of cookies
Saturday | 177
Sunday | 122
Monday | 109
Tuesday | 120
Wednesday | 123

Solution:
Find the numbers in the table.

Saturday: 177
Tuesday: 120

Now add: 177 + 120 = 297.

Kate baked 297 cookies on Saturday and Tuesday.


Question: After a field trip to the park, students in Mrs. Cameron's art class counted the number of leaf rubbings they had made. How many students did not make any leaf rubbings?

Answer: 11

Leaf rubbings made | Frequency
0 | 11
1 | 16
2 | 12
3 | 19
4 | 15
5 | 13

Solution:
Find the row for 0 leaf rubbings and read the frequency. The frequency is 11.

11 students did not make any leaf rubbings.


Question: The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for at least 70 minutes?

Answer: 10

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

You counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 people waited for at least 70 minutes.