G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
Introduction - Grade 3 Mathematics
The following released test questions are taken from the Grade 3 Mathematics Standards Test. This test is one
of the California Standards Tests administered as part of the Standardized Testing and Reporting (STAR)
Program under policies set by the State Board of Education.
All questions on the California Standards Tests are evaluated by committees of content experts, including
teachers and administrators, to ensure their appropriateness for measuring the California academic content
standards in Grade 3 Mathematics. In addition to content, all items are reviewed and approved to ensure their
adherence to the principles of fairness and to ensure no bias exists with respect to characteristics such as
gender, ethnicity, and language.
This document contains released test questions from the California Standards Test forms in 2003, 2004, 2005,
2006, and 2007. First on the pages that follow are lists of the standards assessed on the Grade 3 Mathematics Test.
Next are released test questions. Following the questions is a table that gives the correct answer for each question,
the content standard that each question is measuring, and the year each question last appeared on the test.
The following table lists each strand/reporting cluster, the number of items that appear on the exam, and the
number of released test questions that appear in this document.
STRAND/REPORTING
CLUSTER
NUMBER OF
QUESTIONS ON
EXAM
NUMBER OF
RELEASED TEST
QUESTIONS
Number Sense Place Value, Fractions, and Decimals
16
20
Number Sense Addition, Subtraction, Multiplication,
and Division
16
19
Algebra and Functions
12
15
Measurement and Geometry
16
20
65
80
Statistics, Data Analysis, and Probability
TOTAL
In selecting test questions for release, three criteria are used: (1) the questions adequately cover a selection of
the academic content standards assessed on the Grade 3 Mathematics Test; (2) the questions demonstrate a
range of difficulty; and (3) the questions present a variety of ways standards can be assessed. These released
test questions do not reflect all of the ways the standards may be assessed. Released test questions will not
appear on future tests.
For more information about the California Standards Tests, visit the California Department of Educations
Web site at http://www.cde.ca.gov/ta/tg/sr/resources.asp.
1
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
THE NUMBER SENSE STRAND
In Grade 3, there are two reporting clusters within the Number Sense strand: 1) Place Value, Fractions, and
Decimals and 2) Addition, Subtraction, Multiplication, and Division. This booklet contains released test
questions for each of these clusters.
The following nine California content standards are included in the Place Value, Fractions, and Decimals
reporting cluster of the Number Sense strand and are represented in this booklet by 20 test questions. These
questions represent only some ways in which these standards may be assessed on the Grade 3 California
Mathematics Standards Test.
CALIFORNIA CONTENT STANDARDS IN THIS REPORTING CLUSTER
Number Sense
Standard Set 1.0
Students understand the place value of whole numbers:
3NS1.1
Count, read, and write whole numbers to 10,000.
3NS1.2
Compare and order whole numbers to 10,000.
3NS1.3*
Identify the place value for each digit in numbers to 10,000.
3NS1.4
Round off numbers to 10,000 to the nearest ten, hundred, and thousand.
3NS1.5*
Use expanded notation to represent numbers (e.g., 3,206 = 3,000 + 200 + 6).
Standard Set 3.0
Students understand the relationship between whole numbers, simple
fractions, and decimals:
3NS3.1
Compare fractions represented by drawings or concrete materials to show
equivalency and to add and subtract simple fractions in context (e.g., 1/2 of a
pizza is the same amount as 2/4 of another pizza that is the same size; show
that 3/8 is larger than 1/4).
3NS3.2*
Add and subtract simple fractions (e.g., determine that 1/8 + 3/8 is the same as
1/2).
3NS3.3*
Solve problems involving addition, subtraction, multiplication, and division of
money amounts in decimal notation and multiply and divide money amounts in
decimal notation by using whole-number multipliers and divisors.
3NS3.4
Know and understand that fractions and decimals are two different
representations of the same concept (e.g., 50 cents is 1/2 of a dollar, 75 cents is
3/4 of a dollar).
* Denotes key standards (Mathematics Framework for California Public Schools)
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
The following seven California content standards are included in the Addition, Subtraction, Multiplication, and
Division reporting cluster of the Number Sense strand and are represented in this booklet by 19 test questions.
These questions represent only some ways in which these standards may be assessed on the Grade 3 California
Mathematics Standards Test.
CALIFORNIA CONTENT STANDARDS IN THIS REPORTING CLUSTER
Number Sense
Standard Set 2.0
Students calculate and solve problems involving addition, subtraction,
multiplication, and division:
3NS2.1*
Find the sum or difference of two whole numbers between 0 and 10,000.
3NS2.3*
Use the inverse relationship of multiplication and division to compute and check
results.
3NS2.4*
Solve simple problems involving multiplication of multi-digit numbers by one-digit
numbers (3,671 3 = ___).
3NS2.5
Solve division problems in which a multi-digit number is evenly divided by a
one-digit number (135 5 = ___).
3NS2.6
Understand the special properties of 0 and 1 in multiplication and division.
3NS2.7
Determine the unit cost when given the total cost and number of units.
3NS2.8
Solve problems that require two or more of the skills mentioned above.
* Denotes key standards (Mathematics Framework for California Public Schools)
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
THE ALGEBRA AND FUNCTIONS STRAND/REPORTING CLUSTER
The following seven California content standards are included in the Algebra and Functions strand/reporting
cluster and are represented in this booklet by 15 test questions. These questions represent only some ways in
which these standards may be assessed on the Grade 3 California Mathematics Standards Test.
CALIFORNIA CONTENT STANDARDS IN THIS STRAND/CLUSTER
Algebra and Functions
Standard Set 1.0
Students select appropriate symbols, operations, and properties to
represent, describe, simplify, and solve simple number relationships:
3AF1.1*
Represent relationships of quantities in the form of mathematical expressions,
equations, or inequalities.
3AF1.2
Solve problems involving numeric equations or inequalities.
3AF1.3
Select appropriate operational and relational symbols to make an expression
true (e.g., if 4 ___ 3 = 12, what operational symbol goes in the blank?).
3AF1.4
Express simple unit conversions in symbolic form (e.g., _____inches =
_____feet 12).
3AF1.5
Recognize and use the commutative and associative properties of multiplication
(e.g., if 5 7 = 35, then what is 7 5? and if 5 7 3 = 105, then what is
7 3 5?).
Standard Set 2.0
Students represent simple functional relationships:
3AF2.1*
Solve simple problems involving a functional relationship between two quantities
(e.g., find the total cost of multiple items given the cost per unit).
3AF2.2
Extend and recognize a linear pattern by its rules (e.g., the number of legs on a
given number of horses may be calculated by counting by 4s or by multiplying
the number of horses by 4).
* Denotes key standards (Mathematics Framework for California Public Schools)
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
THE MEASUREMENT AND GEOMETRY STRAND/REPORTING CLUSTER
The following ten California content standards are included in the Measurement and Geometry strand/
reporting cluster and are represented in this booklet by 20 test questions. These questions represent only some
ways in which these standards may be assessed on the Grade 3 California Mathematics Standards Test.
CALIFORNIA CONTENT STANDARDS IN THIS STRAND/CLUSTER
Measurement and Geometry
Standard Set 1.0
Students choose and use appropriate units and measurement tools to
quantify the properties of objects:
3MG1.1
Choose the appropriate tools and units (metric and U.S.) and estimate and
measure the length, liquid volume, and weight/mass of given objects.
3MG1.2*
Estimate or determine the area and volume of solid figures by covering them
with squares or by counting the number of cubes that would fill them.
3MG1.3*
Find the perimeter of a polygon with integer sides.
3MG1.4
Carry out simple unit conversions within a system of measurement (e.g.,
centimeters and meters, hours and minutes).
Standard Set 2.0 Students describe and compare the attributes of plane and solid geometric
figures and use their understanding to show relationships and solve
problems:
3MG2.1*
Identify, describe, and classify polygons (including pentagons, hexagons, and
octagons).
3MG2.2*
Identify attributes of triangles (e.g., two equal sides for the isosceles triangle,
three equal sides for the equilateral triangle, right angle for the right triangle).
3MG2.3*
Identify attributes of quadrilaterals (e.g., parallel sides for the parallelogram, right
angles for the rectangle, equal sides and right angles for the square).
3MG2.4
Identify right angles in geometric figures or in appropriate objects and determine
whether other angles are greater or less than a right angle.
3MG2.5
Identify, describe, and classify common three-dimensional geometric objects
(e.g., cube, rectangular solid, sphere, prism, pyramid, cone, cylinder).
3MG2.6
Identify common solid objects that are the components needed to make a more
complex solid object.
* Denotes key standards (Mathematics Framework for California Public Schools)
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
THE STATISTICS, DATA ANALYSIS, AND PROBABILITY STRAND/REPORTING
CLUSTER
The following three California content standards are included in the Statistics, Data Analysis, and Probability
strand/reporting cluster and are represented in this booklet by six test questions. These questions represent only
some ways in which these standards may be assessed on the Grade 3 California Mathematics Standards Test.
CALIFORNIA CONTENT STANDARDS IN THIS STRAND/CLUSTER
Statistics, Data Analysis, and Probability
Standard Set 1.0
Students conduct simple probability experiments by determining the
number of possible outcomes and make simple predictions:
3PS1.1
Identify whether common events are certain, likely, unlikely, or improbable.
3PS1.2*
Record the possible outcomes for a simple event (e.g., tossing a coin) and
systematically keep track of the outcomes when the event is repeated many
times.
3PS1.3*
Summarize and display the results of probability experiments in a clear and
organized way (e.g., use a bar graph or a line plot).
* Denotes key standards (Mathematics Framework for California Public Schools)
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
How is eight thousand, seventy-six
written in standard form?
Which number has a 4 in the tens place
and a 4 in the hundreds place?
A 8067
A 6424
B 8076
B 6244
C 8706
C 4462
D 8760
D 6442
CSM20462
Which of the following is the same as
8024?
CSM01057
Which digit is in the hundreds place in
the number 3174?
A eight hundred twenty-four
A 1
B eight thousand twenty-four
B 3
C eight thousand two hundred
four
C 4
D 7
D eighty thousand two hundred
four
CSM10101
CSM20464
What does the 3 represent in the number
below?
Which set of numbers is in order from
greatest to least?
3051
A 3
A 147, 163, 234, 275
B 30
B 275, 234, 163, 147
C 300
C 275, 163, 234, 147
D 3000
D 163, 275, 234, 147
CSM02188
CSM01593
7
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
7
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
10
Which of these is eight hundred seven?
A 8007
Which number means 1000 + 600 + 8?
A 168
B 870
B 1068
C 807
C 1608
D 8070
D 1680
CSM01097
CSM00094
Sophie has 527 seashells in her collection.
Which of these equals 527?
A 5 + 2 + 7
B 5 +
20 +
700
C 500 + 20 + 7
D 500 + 200 + 70
CSM00051
Which number is 4000 + 80 + 5 ?
A 458
B 485
C 4085
D 4805
CSM10576
8
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
11
The circle shows
1
shaded.
4
1 2
+ =
4 4
12
= 1
Which fractional part of a circle below
1
is equal to ?
4
6
6
2
6
2
3
3
4
CSM02203
= 3
= 2
2
=
8
13
A pie was divided into fifths. Emily ate
1
2
of the pie. Tony ate of the pie. Jenny
5
5
1
ate of the pie. How much of the pie
5
was left?
4
5
1
5
= 1
6
CSM02123
CSM02175
9
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
14
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
2
of a
3
cup of hot water to a bowl. Then he adds
1
of a cup of cold water. How much water
3
does he add all together?
Jorge is making gelatin. He adds
Hot
15
Reggie compared the prices of two
radios. The table below shows the
prices.
Cost of Radios
Brand
Cost
$31.47
$34.71
How much more does Brand B cost than
Brand A?
Cold
1
of a cup of water
3
A $3.24
of a cup of water
6
C $3.34
B $3.26
D $3.36
CSM02174
C 1 cup of water
16
D 3 cups of water
Adam has $5.00 to buy an airplane that
costs $4.28. How much change should he
get back?
CSM10112
A 70
B 72
C 75
D 82
CSM01079
10
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
17
19
Carmen bought these three things.
$3.45
$4.10
Four children earned $50 from selling
cookies. They decided to divide the money
equally. How much money did each of the
four children get?
A $10.00
B $12.50
$1.75
C $46.00
D $125.00
What was the total cost of these three
items?
CSM10597
20
A $9.30
Donna shaded
of the figure.
10
B $9.20
C $8.30
D $8.20
CSM02182
18
Lisa rented 4 videotapes for $4.80. How
much did each tape cost to rent?
Which decimal equals
A $1.20
A 0.01
B $8.80
B 0.1
C $12.00
C 0.110
D $19.20
1
?
10
D 1.0
CSM20665
CSM01089
11
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
21
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
24
9000 3782 =
A 5218
B 5328
A 7133
C 6782
B 8133
D 12,782
C 8243
CSM02197
22
The town of Milburg has 5256 grown-ups
and 2987 children. How many people live
in Milburg?
D 8343
CSM10580
Look at the number sentence below.
67 + , = 121
Which number will make the number
sentence true?
25
502
273
A 54
A 229
B 56
B 239
C 64
C 371
D 68
D 775
CSM10049
CSM10431
23
Which number is 6 more than 1026?
A 1022
B 1032
C 1122
D 1132
CSM10424
12
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
26
28
The figure below is a model for the
multiplication sentence.
8 4 = 32
Reese and Jay each correctly used a
different number sentence to solve the
same problem. Reese used this number
sentence:
134 = 52
Which of the following number sentences
could Jay have used?
A 13 + 4 = 17
B 52 13 = 39
C 52 4
= 13
D 13 52 = 4
Which division sentence is modeled by
the same figure?
A 8 4 = 2
CSM11482
29
B 12 4 = 3
C 24 8
= 3
D 32 8
= 4
A 24
B 96
CSM01096
27
A company has 6 big trucks. Each truck
has 18 wheels. How many wheels is this
in all?
C 108
Lily did this division problem.
D 116
375 25 = 15
CSM01045
Which problem could she do to check
her answer?
A 25 +15 = ,
B 25 15 = ,
C 2515 = ,
D 25 15 = ,
CSM01040
13
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
30
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
33
On Friday, 1250 people visited the zoo.
Three times as many people visited on
Saturday than on Friday. How many
people visited the zoo on Saturday?
How much is nine times four hundred
fifty-eight?
A 4042
A 3615
B 4122
B 3650
C 4311
C 3750
D 4589
CSM10589
D 3753
34
CSM10106
31
Third-grade students went to a concert
in 8 buses. Each bus took 45 students.
How many students went to the concert?
Six students were sitting at each table in
the lunch room. There are 34 tables. How
many students were sitting in the lunch
room?
A 208
A 320
B 204
B 360
C 188
C 380
D 1,824
D 3240
CSM00419
CSM00052
32
There are 124 students making 3 stars
each for the school wall. How many stars
will they make all together?
35
A 127
1857
5
A 5055
B 9055
B 357
C 9235
C 362
D 9285
D 372
CSM21406
CSM10687
14
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
36
39
During Field Day, 1624 students from
Glen Hill School were equally divided
into 8 different events. How many
students were in each event?
Tony had $20. He paid $8 for a ticket to
a baseball game. At the game, he bought
a hot dog for $3. What amount of money
did Tony have then?
A 203
A $5
B 206
B $9
C 221
C $11
D 224
D $15
CSM10107
37
CSM02117
What number can be multiplied by 5768
to give the answer 5768?
5768
40
= 5768
Mr. Guzman bought 48 doughnuts packed
equally into 4 boxes. Which number
sentence shows how to find the number of
doughnuts in each box?
A 0
A 48 4 = ,
B 1
B 48 4 = ,
C 2
C 48 + 4 = ,
D 10
D 48 4 = ,
CSM10592
38
CSM02176
Mr. Brown bought 6 towels. All the
towels were the same price. The total
cost was $84. How much money did each
towel cost?
41
The Sumata family took a five-day vacation
by car. Each day they drove 250 miles.
Which number sentence could be used to
find out how many total miles they drove?
A $11
A 250 + 5 = ,
B $14
B 250 5 = ,
C $78
C 250 5 = ,
D $504
D 250 5 = ,
CSM02134
CSM10599
15
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
42
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
45
If Mai bought apples for $2.50 and she
paid with a $10 bill, which expression
shows the correct amount of change?
What number makes this number
sentence true?
3 + 5 = , 2
A $10 + $2.50
A 3
B $10 $2.50
B 4
C $10 $2.50
C 5
D $10 $2.50
D 6
CSM10097
CSM02121
43
Mr. Carter drove 25 miles on Monday.
On Tuesday he drove 30 miles, and on
Wednesday he drove 15 miles. Which
number sentence can be used to find the
total number of miles he drove?
A 25 + 30 =
46
6 9 < 3,
A 18
30 25 +15 = ,
25 + 30 +15 = ,
B 19
B 25 + 30 15 =
C
D
What number makes this number
sentence true?
C 16
D 17
CSM00425
CSM02196
44
Which statement shows twice as much
as 8?
47
Which sign goes in the box to make the
number sentence true?
48 , 6 = 8
A 2+8
B 28
A +
C 2 8
D 28
C
D
CSM10115
CSM01071
16
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
48
Which of the following is used to find out
how many inches are in 5 feet?
51
A 5
12
The table shows the number of colored
pencils needed for different numbers of
students.
B 12 5
C 5 + 12
Colored Pencils
Number
of Students
Number
of Pencils
12
D 12 5
CSM20848
49
If 7 1113 = 1001, then what
is 117 13 ?
If each student gets the same number of
pencils, how many are needed for
6 students?
A 77
B 91
C 143
A 22
D 1001
B 24
C 26
CSM10058
50
Math
Released Test Questions
D 27
One stamp costs 34. Two stamps cost
68. Three stamps cost $1.02. If the cost
of each stamp remains the same, how
much would 4 stamps cost?
A $1.26
CSM02194
52
If bananas cost 35 per pound, how
much will 4 pounds cost?
A $0.39
B $1.34
B $1.20
C $1.36
C $1.29
D $12.16
D $1.40
CSM02192
CSM10690
17
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
53
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
If oranges are on sale for 3 for $1.00, how
much will 6 oranges cost?
55
Which of the following objects is heavier
than 1 pound?
$1.00
Pencil
A $2.00
B $3.00
C $6.00
D $9.00
CSM10439
54
Backpack
Look at the linear pattern below.
3, 6, 9, 12, 15, 18,
What number comes next in this pattern?
A 19
B 20
C 21
Paper
D 22
C
CSM10046
Eraser
D
CSM10440
18
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
56
58
What is the area of this figure?
A rectangle is 6 inches long and 4 inches
wide. What is the area of the rectangle?
1 square unit
A 2 square units
B 3 square units
C 4 square units
A 24 square inches
D 6 square units
B 30 square inches
C 74 square inches
CSM01078
57
D 120 square inches
What is the volume of this solid figure
made with cubes?
CSM10610
A 10 cubic units
B 17 cubic units
C 20 cubic units
D 22 cubic units
CSM01099
19
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
59
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
60
A basketball court is shaped like a
rectangle 20 meters long and 10 meters
wide.
What is the perimeter of the figure?
4 inches
5 inches
7 inches
10 meters
7 inches
20 meters
5 inches
4 inches
What is the perimeter in meters of the
court?
A 18 inches
A 30 meters
B 22 inches
B 50 meters
C 24 inches
C 60 meters
D 32 inches
D 200 meters
CSM21415
CSM00104
61
Look at the polygon below.
10 cm
1 cm
4 cm
2 cm
1 cm
6 cm
1 centimeter = 1 cm
What is the perimeter of the polygon?
A 16 cm
B 20 cm
C 24 cm
D 28 cm
CSM10447
20
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
62
Each side of this hexagon is 4 inches long.
64
Which of these is a hexagon?
4 inches
What is the perimeter in inches of the
hexagon?
A 24 inches
B 20 inches
C 16 inches
CSM00620
D 10 inches
CSM00086
63
There are 1,000 meters in 1 kilometer.
How many meters are in 5 kilometers?
A 1,000 meters
B 50 meters
C 200 meters
D 5,000 meters
CSM00399
21
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
65
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
Which sign is shaped like a pentagon?
67
An isosceles triangle MUST have
A 4 sides that are the same
length.
B 3 sides that are the same
length.
C 2 sides that are the same
length.
D no sides that are the same
length.
CSM01070
68
What measurement is missing on the
equilateral triangle below?
CSM00088
66
The figure below is what shape?
7 inches
7 inches
A 1 inch
B 7 inches
C 14 inches
A square
D 49 inches
B triangle
CSM21491
C octagon
D hexagon
CSM10510
22
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
69
One side of a rectangle is 8 feet long.
Another side of the rectangle is 10 feet
long. What are the lengths of the other
2 sides of the rectangle?
71
Look at the four angles marked on the
picture of a house.
A They could be any length.
3
B 10 feet and 8 feet
C 10 feet and 10 feet
D 8 feet and 8 feet
CSM02180
70
How many right angles are in a
rectangle?
Which angle is a right angle?
A 1
A angle 1
B 2
B angle 2
C 3
C angle 3
D 4
D angle 4
CSM20168
CSM00108
23
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
3
72
Math
Released Test Questions
73
Which object is a cylinder?
In the picture, which numbered angle
measures LESS than a right angle?
A 1
B 2
Cereal
C 3
D 4
CSM10065
CSM10521
24
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
74
75
Which shapes make up this solid
object?
Miriam put 10 marbles in a paper sack.
Six of the marbles were black, three were
gray, and one was white.
Miriam closed her eyes and took one
marble out of the sack. Is it certain,
likely, unlikely, or impossible that the
marble she picked was white?
A cone and cylinder
A certain
B circle and triangle
B likely
C triangle and cylinder
C unlikely
D rectangle, triangle, and circle
D impossible
CSM10134
CSM10615
25
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
3
76
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
There are 12 gumballs in a gumball
machine. There are 1 red, 6 yellow, 2
green, and 3 blue gumballs. What color is
MOST likely to come out of the machine
next?
77
A red
B yellow
A spinner landed on Red 6 times,
Blue 4 times, and Green 5 times.
Which tally chart shows these results?
Spin Results
Spin Results
Red
Red
Blue
Blue
Green
Green
Spin Results
Spin Results
Red
Red
Blue
Blue
Green
Green
C green
D blue
CSM30034
CSN00095
26
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
A group of children tossed a coin 10 times. The coin landed on heads 4 times and tails 6 times.
Which tally chart shows these tosses?
e rt
i b
l
IN GOD WE
TRUST
1 9 8 9
e rt
ib
e rt
ib
l
IN GOD WE
TRUST
IN GOD WE
TRUST
1 9 8 9
1 9 8 9
A
e rt
ib
l
e rt
ib
78
IN GOD WE
TRUST
IN GOD WE
TRUST
1 9 8 9
1 9 8 9
CSM10068
27
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
Released Test Questions
Danny tossed 2 nickels 10 times. The results are shown in the tally chart below.
L
us
d we tr
go
TY 1973
ER
go
IB
TY 1973
ER
d we tr
IB
us
PL
URIBUS UNU
CA
RI
PL
URIBUS UNU
CA
E
M O N T I C E L L O
IT
IT
NT
UN
UN
FIV
S T E CE A M
ATE S O F
NT
S T E CE A M
ATE S O F
FIV
NT
CA
URIBUS UNU
FIV
RI
PL
M O N T I C E L L O
RI
go
IT
M O N T I C E L L O
UN
TY 1973
ER
d we tr
IB
us
79
Math
CA L I F O R N I A S TA N DA R D S T E S T
S T E CE A M
ATE S O F
Which graph shows these results?
Coin Toss Results
Coin Toss Results
2 heads
Result
2 heads
1 head,
1 tail
Result
2 tails
1 head,
1 tail
2 tails
0 1 2 3 4 5 6
Number of Times
0 1 2 3 4 5 6
Number of Times
Coin Toss Results
Coin Toss Results
2 heads
Result
2 heads
1 head,
1 tail
Result
2 tails
1 head,
1 tail
2 tails
0 1 2 3 4 5 6
Number of Times
0 1 2 3 4 5 6
Number of Times
CSN00330
28
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
Josie, Mary, and Susana were tossing a coin to see how many times it would land on tails. They
each tossed the coin 10 times and recorded their results with tally marks.
Coin Toss
Name
Tails
Josie
Mary
Susana
6
5
4
2
1
Coin Toss
Tails
6
5
4
2
1
Coin Toss
Name
Coin Toss
6
5
4
2
1
Name
Tails
Tails
Which graph shows their results?
Tails
80
6
5
4
2
1
Coin Toss
Name
Name
CSM20866
29
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
Question Number
Correct Answer
Standard
Year of Release
3NS1.1
2005
3NS1.1
2007
3NS1.2
2003
3NS1.3
2004
3NS1.3
2005
3NS1.3
2006
3NS1.3
2007
3NS1.5
2003
3NS1.5
2006
10
3NS1.5
2006
11
3NS3.1
2003
12
3NS3.2
2003
13
3NS3.2
2004
14
3NS3.2
2007
15
3NS3.3
2003
16
3NS3.3
2004
17
3NS3.3
2005
18
3NS3.3
2006
19
3NS3.3
2007
20
3NS3.4
2004
21
3NS2.1
2003
22
3NS2.1
2005
23
3NS2.1
2005
24
3NS2.1
2006
25
3NS2.1
2007
26
3NS2.3
2003
27
3NS2.3
2005
28
3NS2.3
2007
29
3NS2.4
2003
30
3NS2.4
2005
31
3NS2.4
2005
32
3NS2.4
2006
33
3NS2.4
2006
34
3NS2.4
2007
35
3NS2.4
2007
30
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
Question Number
Correct Answer
Standard
Year of Release
36
3NS2.5
2004
37
3NS2.6
2004
38
3NS2.7
2004
39
3NS2.8
2004
40
3AF1.1
2003
41
3AF1.1
2006
42
3AF1.1
2006
43
3AF1.1
2007
44
3AF1.1
2007
45
3AF1.2
2003
46
3AF1.2
2005
47
3AF1.3
2004
48
3AF1.4
2005
49
3AF1.5
2004
50
3AF2.1
2003
51
3AF2.1
2004
52
3AF2.1
2005
53
3AF2.1
2007
54
3AF2.2
2006
55
3MG1.1
2004
56
3MG1.2
2003
57
3MG1.2
2006
58
3MG1.2
2007
59
3MG1.3
2003
60
3MG1.3
2005
61
3MG1.3
2006
62
3MG1.3
2007
63
3MG1.4
2004
64
3MG2.1
2003
65
3MG2.1
2006
66
3MG2.1
2007
67
3MG2.2
2004
68
3MG2.2
2006
69
3MG2.3
2004
70
3MG2.3
2005
31
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
G R A D E
CA L I F O R N I A S TA N DA R D S T E S T
Math
Released Test Questions
Question Number
Correct Answer
Standard
Year of Release
71
3MG2.4
2003
72
3MG2.4
2007
73
3MG2.5
2005
74
3MG2.6
2005
75
3PS1.1
2005
76
3PS1.1
2007
77
3PS1.2
2003
78
3PS1.2
2006
79
3PS1.3
2004
80
3PS1.3
2006
32
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright 2008 California Department of Education.
