美国小学三年级数学考试加州标准考试_题目

CA L I F O R N I A STA N DA R D S T E ST G R A D E Math 3Released 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, and 2006. 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. NUMBER OF NUMBER OF STRAND/REPORTING QUESTIONS ON RELEASED TEST CLUSTER EXAM QUESTIONS Number Sense – Place Value, Fractions, and Decimals 16 16 Number Sense – Addition, Subtraction, Multiplication, and Division 16 15 Algebra and Functions 12 12 Measurement and Geometry 16 16 Statistics, Data Analysis, and Probability 5 5 TOTAL 65 64 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 Education’s 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 © 2007 California Department of Education. G R A D E C A L I F O R N I A STA N DA R D S T E ST Math3 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 16 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) — 2 — 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 © 2007 California Department of Education. CA L I F O R N I A STA N DA R D S T E ST G R A D E Math 3Released 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 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 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) — 3 — 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 © 2007 California Department of Education. G R A D E C A L I F O R N I A STA N DA R D S T E ST Math3 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 12 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) — 4 — 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 © 2007 California Department of Education. CA L I F O R N I A STA N DA R D S T E ST G R A D E Math 3Released 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 16 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) — 5 — 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 © 2007 California Department of Education. G R A D E C A L I F O R N I A STA N DA R D S T E ST Math3 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 five 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) — 6 — 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 © 2007 California Department of Education. � � � � � � 1 2 3 CA L I F O R N I A STA N DA R D S T E ST G R A D E Math 3Released Test Questions How is eight thousand, seventy-six written in standard form? A 8067 A 1 B 8076 B 3 C 8706 C 4 D 8760 D 7 CSM20462 CSM20464 Which set of numbers is in order from greatest to least? A 147, 163, 234, 275 B 275, 234, 163, 147 C 275, 163, 234, 147 D 163, 275, 234, 147 CSM01593 Which number has a 4 in the tens place and a 4 in the hundreds place? A 6424 B 6244 C 4462 D 6442 CSM01057 4 Which digit is in the hundreds place in the number 3174? 5 What does the 3 represent in the number below? 3051 A 3 B 30 C 300 D 3000 CSM02188 6 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 — 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 © 2007 California Department of Education. � � 7 8 G R A D E C A L I F O R N I A STA N DA R D S T E ST Math3 Released Test Questions Which number is 4000 + 80 + 5? A 458 B 485 C 4085 D 4805 CSM10576 Which number means 1000 + 600 + 8? A 168 B 1068 C 1608 D 1680 CSM00094 � 1 9 The circle shows shaded.4 1 = – 4 Which fractional part of a circle below 1 is equal to ?4 3 2 = – = – 8 6 A C 2 1 = – = – 8 6 B D CSM02123 — 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 © 2007 California Department of Education. � � � CA L I F O R N I A STA N DA R D S T E ST G R A D E Math 3Released Test Questions 1 210 + =� 4 4 A 6 6 B 2 6 C 2 3 D 3 4 CSM02203 11 A pie was divided into fifths. Emily ate 1 2 of the pie. Tony ate of the pie. Jenny 5 51 ate of the pie. How much of the pie 5 was left? 4A 5 3 B 5 2 C 5 1D 5 CSM02175 12 Reggie compared the prices of two radios. The table below shows the prices. Cost of Radios Brand Cost A $31.47 B $34.71 How much more does Brand B cost than Brand A? A $3.24 B $3.26 C $3.34 D $3.36 CSM02174 13 Adam has $5.00 to buy an airplane that costs $4.28. How much change should he get back? A 70¢ B 72¢ C 75¢ D 82¢ CSM01079 — 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 © 2007 California Department of Education. � � � G R A D E C A L I F O R N I A STA N DA R D S T E ST Math3 Released Test Questions 14 Carmen bought these three things. $4.10 $3.45 $1.75 What was the total cost of these three items? A $9.30 B $9.20 C $8.30 D $8.20 CSM02182 15 Lisa rented 4 videotapes for $4.80. How much did each tape cost to rent? A $1.20 B $8.80 C $12.00 D $19.20 CSM20665 116 Donna shaded 10 of the figure. Which decimal equals 1 10 ? A 0.01 B 0.1 C 0.110 D 1.0 CSM01089 �17 9000 −3782 = A 5218 B 5328 C 6782 D 12,782 CSM02197 — 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 © 2007 California Department of Education. � � � � � � CA L I F O R N I A STA N DA R D S T E ST G R A D E Math 3Released Test Questions 18 Look at the number sentence below. 67 + = 121 Which number will make the number sentence true? A 54 B 56 C 64 D 68 CSM10431 19 Which number is 6 more than 1026? A 1022 B 1032 C 1122 D 1132 CSM10424 20 The town of Milburg has 5256 grown-ups and 2987 children. How many people live in Milburg? A 7133 B 8133 C 8243 D 8343 CSM10580 21 The figure below is a model for the multiplication sentence. 8 4× = 32 Which division sentence is modeled by the same figure? A 8 4÷ = 2 B 12 ÷ = 34 8 C 24 ÷ = 3 8D 32 ÷ = 4 CSM01096 22 Lily did this division problem. 375 ÷25 = 15 Which problem could she do to check her answer? A 25 +15 =� B 25 −15 =� C 25×15 =� D 25 ÷ 15 =� CSM01040 — 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 © 2007 California Department of Education. � � � � � � G R A D E C A L I F O R N I A STA N DA R D S T E ST Math3 Released Test Questions 23 A company has 6 big trucks. Each truck has 18 wheels. How many wheels is this in all? will they make all together? A 24 A 127 B 96 B 357 C 108 C 362 D 116 D 372 CSM01045 CSM10687 24 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? A 3615 B 3650 C 3750 D 3753 CSM10106 25 Third-grade students went to a concert in 8 buses. Each bus took 45 students. How many students went to the concert? A 320 B 360 C 380 D 3240 CSM00052 26 There are 124 students making 3 stars each for the school wall. How many stars 27 How much is nine times four hundred fifty-eight? A 4042 B 4122 C 4311 D 4589 CSM10589 28 During Field Day, 1624 students from Glen Hill School were equally divided into 8 different events. How many students were in each event? A 203 B 206 C 221 D 224 CSM10107 — 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 © 2007 California Department of Education. � � � � CA L I F O R N I A STA N DA R D S T E ST G R A D E Math 3Released Test Questions 29 What number can be multiplied by 5768 to give the answer 5768? 5768× = 5768 A 0 B 1 C 2 D 10 CSM10592 �30 Mr. Brown bought 6 towels. All the towels were the same price. The total cost was $84. How much money did each towel cost? �33 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 31 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 $5 B $9 C $11 D $15 CSM02117 32 Mr. Guzman bought 48 doughnuts packed equally into 4 boxes. Which number sentence shows how to find the number of doughnuts in each box? 4A 48 − = � 4B 48 ÷ = � 4C 48 + = � 4D 48× = � CSM02176 34 If Mai bought apples for $2.50 and she paid with a $10 bill, which expression shows the correct amount of change? A $10 + $2 50 . B $10 −$2 50 . C $10×$2 50 . D $10 ÷ $2 50 . CSM10097 — 13 — This is a sam