This document contains multiple math word problems and questions. It provides the following information:
1) Several word problems involving operations like addition, subtraction, multiplication and division to calculate totals, averages, estimates and relationships between quantities.
2) Questions about identifying the mathematical operations and processes needed to solve the problems.
3) Graphs and tables presenting numerical data related to the word problems.
The document tests mathematical reasoning and problem-solving abilities through multiple-step word problems across different topics.
5. Question #9
Mr. Green Jeans likes to use graphs to record how many plants he sells
in a week. The graph below shows his sales for Week 17 of 2012.
How many more plants were sold on Wednesday and Saturday than on
Sunday and Tuesday?
How do you know? What operation (s) were used to solve the
problem?
0
5
10
15
20
25
30
35
40
45
50
55
Plants sold in Week 17 of 2012
6. 2. Mr. Johnson wants to plant 28 gardenia bushes in equal
rows in his backyard. The drawing below shows one plan for
planting the gardenias.
X X X X X X X
X X X X X X X
X X X X X X X
X X X X X X X
Which equation (number sentence) reflects the model above to show one plan
For planting the gardenia bushes?
A) 7+4
B) 4x7
C) 7+7
D) 28+ 4+ 7
7. A B C D
Which letters represent fractional amounts
that are less than 2.5 inches?
8. A) 8 post cards
B) 10 post cards
C) 12 post cards
D) 15 post cards
9. Sally worked at the mall. She had a box of
64 shirts that had to be sold by the end of
her 8 hour shift. How many shirts does she
need to sell every hour to sell all of the
shirts before she goes home?
Write a different number sentence that is
in the same fact family as the problem you
just solved?
10. 1. A school had 35 students in fourth grade. Each
student in fourth grade bought a 4th grade t-shirt for
$14. Which of the following number sentences
(equations) could be used to find the total amount that
the class spent on t-shirts?
• A) 35+14 =?
• B) 14 x ? = 35
• C) 35 divided by ? = 14
• D) 35 X 14 = ?
11. QUESTION #5
MR. REYNOLDS AND MR. MONTOYA WORK FOR THE SAME TRUCKING
COMPANY. LAST WEEK MR. REYNOLDS DROVE HIS TRUCK 4,379
MILES. MR. MONTOYA DROVE 6,512 MILES. WHAT IS THE BEST
ESTIMATE OF THE TOTAL NUMBER OF MILES BOTH MEN DROVE?
WHAT PROCESS WAS USED TO SOLVE THIS PROBLEM?
A)10,000 miles
B) 12,000 miles
C) 2,000 miles
D) 11,000 miles
12. QUESTION #1
A PARTY ROOM HELD 9 TABLES FOR GUEST. ANTHONY INVITED 81
PEOPLE TO HIS PARTY. HOW MANY PARTY GUEST WILL SIT AT EACH
TABLE? HOW COULD THE SOLUTION BE FOUND?
A) 81 divided 9
B) 81 plus 9
C) 81 subtract 9
D) 9 multiplied by 81
13. How many squares would need to be
shaded to represent the fraction 4/5?
14. The picture below shows the key boxes at the front desk of The
Biltmore Hotel. Write a multiplication sentence that represents
the number of key boxes shown below.
________________ x________________ = ___________________
15. Question #13
Xavier is ordering food from the subway shop. He is thinking
about buying a combo, which includes a drink, sandwich and
chips. The menu is below:
Drinks Sandwiches Chips
Dr. Pepper Turkey/cheese Cheetos
Sprite Ham/cheese Doritos
Grape Roast Beef/cheese Limon Chips
How many combination choices does Xavier have? How do you know?
A) 36
B) 27
C) 9
D) 18
16. • What is the plan to solve this problem?
Brian bought a collection of 44 old coins at a collector
sale. He decided to sort them into different piles
according to what the coins were made from. The
coins were made from copper, silver, gold and
platinum. He was surprised to find that each set of
coins had an equal amount.
How many of each type of coin was in his collection?
17. 3. Look at the problem below.
100 x 27 = n
• Describe what digits you will see in the tens
and ones places of the product. Show and
explain how you found your answer.
18. Jordan conquered 37 levels on his Wii in a
school week. If he conquered about the same
number of levels each day. Which of the
following is a reasonable estimate of the total
number of levels he conquered in one day?
• A) 9 problems
• B) 7 problems
• C) 10 problems
• D) 11 problems
19. Which two equivalent fractions
represent the unfilled part of the tray?
X X X X X X
X X X X X X
A) 4/16 = 2/8
B) 2/3 = 4/12
C) ½ = 3/12
D) 4/6 = 1/2
20.
21. Hiram flew out of Egypt twice a month for 3 years. How many
times did Hiram fly out of Egypt in all?
How do you know? What process did you use?
• A) 72 times
• B) 36 times
• C) 216 times
• D) 108 times
22. 1. A school had 35 students in fourth grade. Each
student in fourth grade bought a 4th grade t-shirt for
$14. Which of the following number sentences
(equations) could be used to find the total amount that
the class spent on t-shirts?
• A) 35+14 =?
• B) 14 x ? = 35
• C) 35 divided by ? = 14
• D) 35 X 14 = ?
23. Aspen’s family is going to see her play a basketball game at the
University of Texas in Austin. The arena holds 500 people. If Aspen’s
family takes up 113 seats in the arena, how many seats are left for the
other spectators at the basketball game?
How did you solve your problem? What were your key words?
• A) 287
• B) 387
• C) 487
• D) 178
24. • A) $15
• B) $8
• C) $10
• D) $5
Mr. Smith bought a Disney hat for each
of his 6 children. If Mr. Smith spent a
total of $58 for the 6 hats, which of
the following is the most reasonable
estimate for the cost of each hat?
25. Mr. Reynolds and Mr. Montoya work for the same trucking
company. Last week Mr. Reynolds drove his truck 4,379 miles.
Mr. Montoya drove 6,512 miles. What is the best estimate of the
total number of miles both men drove?
What process was used to solve this problem?
• A)10,000 miles
• B) 12,000 miles
• C) 2,000 miles
• D) 11,000 miles
26. Brian collects all kinds of hot wheels models. His collection includes
pickups, SUV’s, sports cars and classic cars. The graph represents
Brian’s collection of hot wheels models.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
pickups
SUVs
sports cars
classic cars
Brian’s Hot Wheels Collection
Which statement about Brian’s collection is TRUE?
A) Brian has four times as many SUVs as classic cars. His pickup collection is one third
the size of his sports cars collection and his sports cars collection is 3 times larger than
than his pickups collection.
B) Brian has four times as many classic cars as SUV’s and he has 3 times as many pickups
In his collection as he does sports cars.
How do you know which is true? You must test each statement. Show your work.
27. At the start of any checker game, there are 34 checker pieces on
the board. Wayne’s checker game tournament started with 13
checker games going at once. How many checker pieces were on
the boards at the start of the tournament? (2 digit by 2 digit)
• A) 450
• B) 470
• C) 442
• D) 467
28. 7. The chart below shows how many laps Aspen ran each day at track
practice.
Day Number of
laps
Monday 17
Tuesday 23
Wednesday 27
Thursday 32
Friday 37
In the empty chart, write Aspen’s number of laps for each day rounded to the nearest ten.
Day Number of
laps
Monday
Tuesday
Wednesday
Thursday
Friday
29. • What is the extra information that is not
needed? What is the plan to solve this
problem?
• A) 16 trays
• B) 20 trays
• C) 12 trays
• D) 7 trays
Aspen’s fashion store has 84 bracelets to put in display
windows. Aspen will display them in trays that hold 7
bracelets each. She also has sixteen rings to display.
How many trays will she need to display the bracelets?
30. Question #4
Two girl scout troops met on Saturday to gather hats for the
homeless for the cold winter nights. Each troop gathered 144
hats and put the hats in sets of 4 (for the father, mother, 2 kids).
How many total sets of hats did both troops gather?
What are the steps to solve this problem?
• Step 1_________________________
• Step 2_________________________
• Step 3_________________________
• My answer to this problem is __________sets.
31. Number
of
seconds
4 5 7 9
Number
of feet
60 75 105 135
The table below shows the number of feet Alex travels on his
bike in different numbers of seconds.
What is one way to find out the number of feet Alex travels on his bike in 1 second?
A) Multiply the number of seconds by the number of feet.
B) Multiply the number of feet by the number of seconds.
C) Divide the number of seconds by the number of feet.
D) Divide the number of feet by the number of seconds.
32. • What is the plan to solve this problem?
• A) 4 pencils
• B) 6 pencils
• C) 10 pencils
• D) 8 pencils
There are 19 pencils in a box. Five
students shared the pencils equally.
Using compatible numbers, about how
many pencils will each student
receive?
33. Question # 16
The table below shows the number of students that are going on
a field trip. Which statement BEST describes the relationship
between the number of busses and the students that went on
the field trip?
Number of
vans
8 12 20 5
Number of
students
64 96 160 40
What is the rule? How do you know?
A) Multiply the number of vans times the number of students.
B) Divide the number of students by the number of vans.
C) Divide the number of vans by the amount of students.
D) Multiply the number of students times the number of vans.
34. Atlanta collects autographs. The table below shows one page of her
autograph book. Can you think of an equivalent fraction to represent
the autograph boxes on this page (8/32)?
Demi Lovato
Rhianna
Chris Brown
Lil’ Wayne
1 Direction
Macklemore
Chris Tucker
Taylor Swift
35. Brian’s tile floor is arranged in the following
pattern. Write a multiplication number
sentence that represents Brian’s tile pattern.
(Think arrays or area models!!!)
Write a multiplication number sentence (equation) that represents Brian’s
pattern.
36. On Michael’s first attempt at jumping a ramp on his skateboard,
he traveled 8 feet before he landed. He jumped 14 more times
and each time he only traveled 8 feet before landing. How many
feet did Michael travel in all?
What process would be used to solve this problem?
• A) 108 feet
• B) 112 feet
• C) 120 feet
• D) 22 feet
37. 4. Kai ordered a set of 11 Justice charms for each
of her nieces. She has 9 nieces. How many
Justice charms did she order all together?
What operation do we need to perform to get
our answer?
• A) 20 charms
• B) 72 charms
• C) 99 charms
• D) 119 charms
38. 6. The table below shows the time it will take Atlanta to run
different distances. If Atlanta runs at the same speed, what is
one way to find how long it will taker her to run 18 miles?
Distance in miles Time in minutes
4 24
6 36
8 48
10 60
18 ?
A) Add 18 + 6
B) Subtract 6 from 18
C) Multiply 18 by 6
D) Multiply 18 by 60
39. The Hopgood family traveled to Ohio for a family reunion. On the first
day, they drove 268 miles. If they are able to travel the same number
of miles each day, what is the best estimate for the total number of
miles they will travel over the four day trip? Remember that you round
to smallest possible place, example: tens or hundreds place.
• A)1200
• B) 1780
• C) 1000
• D) 1080