The purpose of this test is to measure Oklahoma fifth-grade students’ level of proficiency inmathematics. On the Grade 5 Mathematics Test, students are required to respond to a variety of items linked to the fifth-grade mathematics content standards identified in the Priority Academic Student Skills (PASS). Each Mathematics Test item tests an identified content standard and objectivelisted below.
Each year committees of Oklahoma educators review and approve items for use on the Oklahoma CoreCurriculum Tests. The items in this document were selected from the pool of those eligible items. Theseare examples of items that appear on tests; this is not an example of a test form. The items are arrangedin the order of the PASS Standards and Objectives shown above. A table at the end of this document liststhe items in sequence, the PASS Standards and Objectives, and the correct answer for each item. All ofthese items have been modified to reflect the principles of Universal Test Design in order to more closelyalign them with the style and format of items on current tests. However, the fifty-item collection does notmatch the balance and proportion of items required on operational tests as identified by the Grade 5Mathematics Blueprint. The Blueprint can be found on the State Department of Education website athttp://sde.state.ok.us/home/defaultie.html.
ALL items in this document and on our tests have been reviewed and approved by committees ofcontent-area teachers from school districts around the state of Oklahoma.
PASS Content Standards and Objectives
Patterns and Algebraic Reasoning• Algebra Patterns (1.1)• Problem Solving (1.2)
Number Sense• Fraction/Decimal/Percent (2.1)• Number Theory (2.2)
Number Operations and Computation• Estimation (3.1)• Whole Numbers/Decimals/Fractions (3.2)
Data Analysis and Probability• Data Analysis (5.1)• Probability (5.2)
Mathematics
OCCT Gr5 Mathematics Released Items4
3002118 3002118.AR1
1Juanita used the number machine below to create output numbers from inputnumbers. The number machine used the same rule each time to create theoutput number.
If n is the input number, which expression could be the rule the machine usedto create each output number?
A n � 6
B n � 6
C n � 6 *
D n � 6
18
InputNumber
NumberMachine
OutputNumber
3
36
InputNumber
NumberMachine
OutputNumber
6
24
InputNumber
NumberMachine
OutputNumber
4
n
InputNumber
NumberMachine
OutputNumber
Standard 1: Patterns and Algebraic Reasoning
The student will use algebraic methods to describe patterns and solve problemsin a variety of contexts.
OCCT Gr5 Mathematics Released Items
Mathematics
5
2009004
2Mark has 30 tokens to use ongames at the arcade. For eachgame he plays, he uses the samenumber of tokens. If Mark plays5 different games, which numbersentence could be used to showthe number of tokens he can useon each game?
A 30 � 5 � �
B 30 � 5 � �
C 30 � 5 � �
D 30 � 5 � � *
2008973 2008973.AR1
3Two groups of cherries are drawn below.
Which equation could be used to show the relationship between the two groups?
A 3 � 3 � 1 � 2 � 4 � 1
B 3 � 4 � 1 � 2 � 4 � 4
C 3 � 3 � 1 � 2 � 4 � 2 *
D 3 � 3 � 4 � 3 � 4 � 1
Mathematics
OCCT Gr5 Mathematics Released Items6
2009063
4Tina made the following table.
Which statement explains therelationship between x and y?
A For each unit increase in the value of x, the value of y increases by one unit.
B For each unit increase in the value of x, the value of y decreases by one unit. *
C For each unit increase in the value of x, the value of y increases by two units.
D For each unit increase in the value of x, the value of y decreases by two units.
x y
0 15
1 14
2 13
3 12
3002120
5Cornelius drew 5 rectangles. Herecorded, in inches, the width andlength of each rectangle in thetable below.
Rectangles
Which statement best describesthe relationship between thewidth and the length for each ofthe 5 rectangles?
A The length is three inches morethan two times the width. *
B The length is three inches morethan three times the width.
C The length is three inches lessthan two times the width.
D The length is three inches lessthan three times the width.
Width Length
1 5
2 7
3 9
4 11
5 13
OCCT Gr5 Mathematics Released Items
Mathematics
7
2009058 2009058.AR1
7Dawn wants to solve the followingequation using only two steps.
Which could be the first stepDawn uses to solve the equation?
A Divide both the left side and theright side of the equation by 6.
B Divide both the left side and theright side of the equation by 12.
C Subtract 6 from both the leftside and the right side of theequation.
D Subtract 12 from both the leftside and the right side of theequation. *
2n � 6 � 12
3364095 3364095.AR1
6In the table below, for all pairs ofvalues of a and b, which equationis true?
A
B *
C
D (2 � a) � 1 � b
3 � a � b
(3 � a) � 1 � b
2 � a � b
a
b
1
2
2
5
3
8
4
11
Mathematics
OCCT Gr5 Mathematics Released Items8
2009015 2009015.AR1
8Two groups of cherries are drawn below.
Which inequality could be used to show the relationship between the two groups?
A 2 � 3 � 2 � 2 � 4 � 1 *
B 2 � 3 � 2 � 2 � 4 � 2
C 3 � 3 � 2 � 2 � 2 � 1
D 3 � 3 � 2 � 2 � 2 � 2
OCCT Gr5 Mathematics Released Items
Mathematics
9
3364101
9Which decimal number isequivalent to the fraction shownbelow?
A 0.0004
B 0.004 *
C 0.04
D 0.4
4
1000
3364102
10Which fraction is equivalent to 0.8?
A
B
C
D *8
10
3
4
1
8
8
100
Standard 2: Number Sense
The student will demonstrate an understanding of the basic concepts andproperties of real numbers.
3364103
11Which lists the numbers in orderfrom least to greatest?
A 2.6, 0.96, 0.69
B 0.69, 2.6, 0.96
C 2.6, 0.69, 0.96
D 0.69, 0.96, 2.6 *
3364104
12A company donated 32 computersto Larry’s school. Larry’s classreceived 8 of the computers. Whatpercent of the total number ofdonated computers did Larry’sclass receive?
A 25% *
B 40%
C 50%
D 75%
Mathematics
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3002160 3002160.AR1
13Antonio went to the Men’s Shopto buy a shirt. He saw this sign.
He bought 2 identical shirts. Theregular price of one shirt was$22.50. What was the totalamount he paid for the 2 shirts,not including tax?
A $11.25
B $22.50
C $33.75 *
D $45.00
Shirts on sale!Buy 1 at the regularprice and get thesecond at 50% off!
Sale
! Sale!
3002171
14Which shows one way to find thevalue of the following expression?
A (3 � 4) � (4 � 8)
B (3 � 8) � (4 � 8) *
C (3 � 8) � (3 � 4)
D (3 � 4) � (4 � 3)
(3 � 4)8
2008993
15Which of these could follow theequal sign to make a true numbersentence?
A (3 � 2) � (3 � 4) *
B (3 � 2) � (2 � 4)
C 3 � (2 � 4)
D 2 � (3 � 4)
3 � (2 � 4) �
3002194
16Which list contains only oneprime number?
A 3, 4, 5, 6
B 6, 9, 10, 11 *
C 4, 10, 12, 21
D 7, 11, 13, 17
OCCT Gr5 Mathematics Released Items
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11
2009628
17A tennis racket costs $47.85, anda can of tennis balls costs $1.99.Which is closest to the total costof the racket and the can of balls?
A $48 � $2 *
B $47 � $2
C $47.50 � $1.50
D $48 � $1
2009030
18At the high school football game,1200 tickets were sold for $4.85each. Which of these is closest tothe total amount of ticket sales?
A $1685
B $4850
C $5000
D $6000 *
Standard 3: Number Operations and Computation
The student will estimate and compute with whole numbers, decimals,and fractions.
3002222
19Bryce has a newspaper route.Almost 50% of his customershave paid this week. If 33 customers have paid Bryce,which is closest to the totalnumber of newspaper customers?
A 47
B 50
C 70 *
D 83
2009025
20In Mr. Gomez’s class, 25% of the students completed theirscience projects early. There are24 students in his class. What isthe total number of students whocompleted their projects early?
A 4
B 6 *
C 8
D 10
Mathematics
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3002211
21Kim weighed the five puppies in her dog’s litter. The weights of the puppies, in pounds, areshown below.
What is the sum of the weights ofthe 5 puppies?
A 20.00 lb
B 19.78 lb *
C 15.38 lb
D 14.28 lb
4.4, 3.25, 2.75, 3.88, 5.5
3014510
22Joan bought a candy bar for$0.57. She gave the clerk a $20 billto pay for the candy bar. Which isclosest to the amount of changeJoan should have received?
A $18.40
B $19.40 *
C $19.50
D $20.50
3002199
23Juan has a metal bar that is 140 inches long. He needs smallerpieces that are 2.5 inches long.What is the greatest number ofsmaller pieces he can cut from the bar?
A 30
B 47
C 56 *
D 350
2009068
24Clayton bought 13 items for atotal of $89.31 including tax. Eachitem cost the same amount.Whatwas the cost of each item?
A $6.81
B $6.87 *
C $7.17
D $7.56
OCCT Gr5 Mathematics Released Items
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13
Standard 4: Geometry and Measurement
The student will apply geometric properties and relationships and usemeasurements within the metric and customary systems to solve problems in avariety of contexts.
3364105 3364105.AR1 to .AR4
25John drew a robot using onlyrectangles and hexagons. Whichdrawing could be John’s?
A
B
C *
D
2009040 2009040.AR1
26Which of the following is a truestatement about a cube?
A It has a greater number of edgesthan vertices. *
B It has the same number ofvertices as faces.
C It has a greater number of facesthan vertices.
D It has a greater number of facesthan edges.
Mathematics
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2009062
27Which type of angle has ameasure of 60 degrees?
A obtuse
B right
C acute *
D straight
3364107 3364107.AR1 to .AR4
28Which shape below is an octagon?
A
B
C *
D
OCCT Gr5 Mathematics Released Items
Mathematics
15
2009020
29Mrs. Foster wants to order a pieceof glass for the rectangular top ofa wooden table. The top of thetable measures 5 feet by 3 feet.What is the area of the piece ofglass she needs?
A 8 sq ft
B 15 sq ft *
C 16 sq ft
D 30 sq ft
2008994
30A carpenter has a plywood boardthat is 8 feet long and 4 feet wide.He will cut a rectangular piecefrom the plywood that has aperimeter of 22 feet. Which couldbe the length and width of therectangular piece?
A 6 ft by 4 ft
B 7 ft by 4 ft *
C 6 ft by 3 ft
D 5 ft by 4 ft
2009055
31Myra plans to cover her kitchenfloor with square tiles that are 12 inches along an edge. Herkitchen floor is shaped like arectangle with a length of 5 feetand a width of 4 feet. Myra willplace the tiles so that there are nogaps. What is the minimumnumber of tiles that Myra willneed to cover the floor?
A 9 tiles
B 11 tiles
C 18 tiles
D 20 tiles *
Mathematics
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3002280
33Quinton’s aquarium is arectangular prism with a basethat is 48 inches long and 24 inches wide. What is theperimeter of the base ofQuinton’s aquarium?
A 72 in.
B 108 in.
C 144 in. *
D 1152 in.
2009463
34Tom needs 36 feet of fencing to goaround the perimeter of hisgarden. The fencing is sold insections that are each 1 yard long.What is the fewest number ofsections Tom needs to fence theperimeter of his garden?
A 13
B 12 *
C 8
D 6
2009065 2009065.AR1
32A drawing of Mario’s garden isshown below.
What is the perimeter of thegarden?
A 130 feet
B 150 feet
C 160 feet
D 180 feet *
40 ft
20 ft
20 ft
50 ft
3364108
35Mr. Smith has 3 gallons of milk.How many 1-quart bottles can hefill with the milk he has?
A 6
B 9
C 12 *
D 15
OCCT Gr5 Mathematics Released Items
Mathematics
17
3364109
36Meg needs 2 pounds of chocolateto make cookies. The chocolate issold in 12-ounce bags. What is the least number of bags she will need in order to make the cookies?
A 1
B 2
C 3 *
D 4
2009066
38A plastic bottle holds 3000 milliliters of liquid. Howmany liters is 3000 milliliters?
A 3 L *
B 30 L
C 300 L
D 30,000 L
3364110
37How many cups of vegetable oilare needed to fill a 24-ouncebottle?
A 6
B 4
C 3 *
D 2
Mathematics
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3364096 3364096.AR1 to .AR5
39This table shows the number of each type of movie rented from a video store inone week.
Which graph best represents the information shown in the table?
A C
B D *Video Rentals
Typ
e
musical
action
comedy
cartoon
Number of Videos10 30 50 70 90 11
013
0
Video Rentals
Typ
e
musical
action
comedy
cartoon
Number of Videos10 30 50 70 90 11
013
0
Video Rentals
Typ
e
musical
action
comedy
cartoon
Number of Videos10 30 50 70 90 11
013
0
Video Rentals
Number of Videos
Typ
e
musical
action
comedy
cartoon
10 30 50 70 90 110
130
Video Rentals
Type Number of Videos
musical
action
comedy
cartoon
22
56
128
40
Standard 5: Data Analysis and Probability
The student will use data analysis, statistics, and probability to interpret data ina variety of contexts.
OCCT Gr5 Mathematics Released Items
Mathematics
19
3364097 3364097.AR1 to .AR5
40Justin has shirts in 5 different colors. The table shows the number of shirtsJustin has in each color.
Which circle graph best represents the data in the table?
A C
B D *Justin’s Shirts
red
purple
greenblue
black
Justin’s Shirts
red
purple
greenblue
black
Justin’s Shirts
red
purple green
blue
black
Justin’s Shirts
red
purple
green
blue
black
Justin’s Shirts
Color Number of Shirts
blue
black
red
green
purple
8
5
4
2
1
Mathematics
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3364098
41The graph shows the studentenrollment in the fall at ValleyView School from 1991 to 1995.
Which number is closest to thedifference in enrollment at ValleyView School from 1992 to 1995?
A 100
B 75 *
C 50
D 25
Student Enrollment
1991
1992
1993
1994
1995
Each represents 50 students.
OCCT Gr5 Mathematics Released Items
Mathematics
21
3364099 3364099.AR1 to .AR5
42Mr. Weaver’s fifth-grade students made tally marks in the table shown below tovote for their favorite lunch foods.
Which of these shows the same information as the table above?
A C
B D *
FoodNumber of Times
Chosenpizza
hamburger
grilled cheese
chicken nuggets
35
30
17
8
Favorite Lunch
FoodNumber of Times
Chosenpizza
hamburger
grilled cheese
chicken nuggets
35
30
20
10
Favorite Lunch
FoodNumber of Times
Chosenpizza
hamburger
grilled cheese
chicken nuggets
7
6
3.2
1.3
Favorite LunchFavorite Lunch
FoodNumber of Times
Chosenpizza
hamburger
grilled cheese
chicken nuggets
32
18
60
70
Favorite Lunch
Food Number of Times Chosen
pizza
hamburger
grilled cheese
chicken nuggets
Mathematics
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3364100 3364100.AR1
43The chart shows the mean(average) costs of a bicycle and askateboard for the years from1988 to 1992.
What was the difference betweenthe mean cost of a bicycle and themean cost of a skateboard in 1992?
A $5.16
B $22.23
C $25.55 *
D $34.35
Mean Costs of Bicycle and Skateboard
Year Mean Cost of a Bicycle
Mean Cost ofa Skateboard
1988 1989 1990 1991 1992
$52.88$65.79$70.00$86.34$91.50
$19.32$27.00$31.50$43.72$65.95
OCCT Gr5 Mathematics Released Items
Mathematics
23
3002287 3002287.AR1 to .AR4
44The noon temperatures for 5 days are listed in the table.
Noon Temperatures
Which graph best represents the data in the table?
A * C
B DMonday
Tuesday
Thursday
Friday
Wednesday
Noon Temperatures
KEY
=10˚F
Mon
Tues
Wed
Thurs
Fri
Temperature (˚F)
Day
Noon Temperatures
100959085807570656055500
Tem
pera
ture
(˚F
)1009590
8580757065605550
Day
Noon Temperatures
Mon Tues Wed FriThurs0
1009590
8580757065605550
Thurs
Tem
pera
ture
(˚F
)
Noon Temperatures
Mon Tues Wed Fri
Day
0
DayTemperature
(°F)
Monday 85
Tuesday 90
Wednesday 75
Thursday 80
Friday 90
Mathematics
OCCT Gr5 Mathematics Released Items24
3002292 3002292.AR1
45The Venn Diagram below showsthe whole number factors of 12 and 30.
What numbers are factors ofboth 12 and 30?
A 4, 12
B 1, 2, 3, 6 *
C 5, 10, 15, 30
D 1, 2, 3, 4, 5, 10, 12, 15, 30
4
12
12
3
6
510
30
15
Factors of 12 Factors of 30
3002338
46Jackie has a spinner that isdivided into 9 equal-sizedsections. The sections are labeledwith the numbers 1 through 9.What is the probability that shewill spin a number less than 8 onher first spin?
A
B
C *
D8
9
7
9
2
9
1
9
3002340
47Delia has a fair number cubewith 6 faces labeled 1 through 6.What is the probability that shewill roll an even number that isless than 3 on her first roll?
A *
B
C
D1
1
1
2
1
3
1
6
Mathematics
3002345
49Melinda will roll a fair numbercube with faces numbered 1 through 6. What is theprobability that she will roll a composite number on the first roll?
A
B *
C
D2
3
1
2
1
3
1
6
3002343
48Jackie has a bag that contains 5 black marbles, 7 green marbles,and 8 white marbles. There are noother marbles in the bag.All themarbles are the same size andshape. If Jackie draws 1 marblefrom the bag without looking,what is the probability that hermarble will be white?
A
B
C *
D12
20
8
20
8
12
1
8
3002346 3002346.AR1
50Elizabeth has a spinner that hascolored sections that are all thesame size and numbered sectionsthat are all the same size. Thearrow on Elizabeth’s spinner ispointing to Yellow 3.
What is the probability that thearrow will point to Red 1 orGreen 2 on the next spin?
