LOS BANOS UNIFIED SCHOOL DISTRICT

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1 LOS NOS UNIFIE SHOOL ISTRIT Mathematics Released Test Items LIFORNI STNRS TEST 4 th and 5 th Grade

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3 Mathematics 4th GRE alifornia Standards Test Released Test Items Los anos Unified School istrict 77 S. th Street Los anos, 965

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5 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 Introduction - Grade 4 Mathematics The following released test questions are taken from the Grade 4 Mathematics Standards Test. This test is one of the alifornia Standards Tests administered as part of the Standardized Testing and Reporting (STR) Program under policies set by the State oard of Education. ll questions on the alifornia Standards Tests are evaluated by committees of content experts, including teachers and administrators, to ensure their appropriateness for measuring the alifornia academic content standards in Grade 4 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 alifornia Standards Test forms in 00, 004, 005, and 006. First on the pages that follow are lists of the standards assessed on the Grade 4 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. NUMER OF NUMER OF STRN/REPORTING QUESTIONS ON RELESE TEST LUSTER EXM QUESTIONS Number Sense ecimals, Fractions, and Negative Numbers 6 7 Number Sense Operations and Factoring 5 lgebra and Functions 8 8 Measurement and Geometry Statistics, ata nalysis, and Probability 4 4 TOTL In selecting test questions for release, three criteria are used: () the questions adequately cover a selection of the academic content standards assessed on the Grade 4 Mathematics Test; () the questions demonstrate a range of difficulty; and () 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 alifornia Standards Tests, visit the alifornia epartment of Education s Web site at This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

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7 Number of Times Standard Has een Taught # of Items ST Number Sense Grade Four Mathematics ontent Standards. Read and write whole numbers in the millions.. Order and compare whole numbers and decimals to two decimal places. 0 /* /*. Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand..4 ecide when a rounded solution is called for and explain why such a solution may be appropriate..5 Explain different interpretations of fractions, for example, parts of a whole, parts of a set, and division of whole numbers by whole numbers; explain equivalents of fractions..6 Write tenths and hundredths in decimal and fraction notations and know the fraction and decimal equivalents for halves and fourths (e.g., ½ = 0.5 or 0.50; 7/4 = ¾ =.75)..7 Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line..8 Use concepts of negative numbers..9 Identify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals to two decimal places.. Estimate and compute the sum or difference of whole numbers and positive decimals to two places. /*. Round two-place decimals to one decimal or the nearest whole number and judge the reasonableness of the rounded answer.. emonstrate an understanding of, and the ability to use, standard algorithms for addition and subtraction of multidigit numbers.. emonstrate an understanding of, and ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use relationships between them to simplify computations and to check results.. Solve problems involving multiplication of multidigit numbers by two-digit numbers..4 Solve problems involving division of multidigit numbers by one-digit numbers. /* 4. Understand that many whole numbers break down in different ways (e.g., = 4 x = x 6 = x x ). 4. Know that numbers such as,, 5, 7, and do not have any factors except and themselves and that such numbers are called prime numbers. lgebra and Functions. Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable). 5. Interpret and evaluate mathematical expressions that now use parentheses.. Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations..4 Use and interpret formulas (e.g., area = length x width or = lw) to answer questions about quantities and their relationships..5 Understand than an equation such as y = x + 5 is a prescription for determining a second number when a first number is given.. Know and understand that equals added to equals are equal.. Know and understand that equals multiplied by equals are equal. 5

8 Number of Times Standard Has een Taught # of Items ST /* Measurement and Geometry Grade Four Mathematics ontent Standards. Measure the area of rectangular shapes by using appropriate units, such as square centimeter [cm ], square meter [m ], square kilometer [km ], square inches [in ], square yard [yd ], or square mile [mi ]. /*. Recognize that rectangles that have the same area can have different perimeters. /*. Understand that rectangles that have the same perimeter can have different areas..4 Understand and use formulas to solve problems involving perimeters and areas of /* rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.. raw the points corresponding to linear relationships on graph paper.. Understand that the length of a horizontal line segment equals the difference of the x-coordinates.. Understand that the length of a vertical line segment equals the difference of the y- coordinates.. Identify lines that are parallel and perpendicular.. Identify the radius and diameter of a circle. /*. Identify congruent figures. /*.4 Identify figures that have bilateral and rotational symmetry. /*.5 Know the definitions of a right angle, an acute angle, and an obtuse angle. Understand that 90 o, 80 o, 70 o, and 60 o are associated, respectively with ¼, ½, ¾, and full turns..6 Visualize, describe, and make models of geometric solids (e.g., prisms, pyramids) in /* terms of the number and shape of faces, edges, and vertices; interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid. /*.7 Know the definitions of different triangles (e.g., equilateral, isosceles, scalene) and identify their attributes. /*.8 Know the definition of different quadrilaterals (e.g., rhombus, square, rectangle, parallelogram, trapezoid). Statistics, ata nalysis, and Probability. Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts. /*. Identify the mode(s) for sets of categorical data and the mode(s), median, and any apparent outliers for numerical data sets.. Interpret one- and two-variable data graphs to answer questions about a situation. /*. Represent all possible outcomes for a simple probability situation in an organized way. /*. Express outcomes of experimental probability situations verbally and numerically (e.g., out of 4; ¾). * Fractional values indicate rotated standards (e.g, / = rotated every two years; / = rotated every three years); Key standards comprise a minimum of 70% of the test. 6

9 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions [NS.] Which of these is the number 5,005,04? five million, five hundred, fourteen five million, five thousand, fourteen five thousand, five hundred, fourteen five billion, five million, fourteen SM004 [NS.] The estimated cost to build a new baseball stadium is ninety-four million dollars. What is this number in standard form? 4 [NS.] Which decimal should be placed in the box to have the numbers in order from least to greatest? ? SM00 $90,400 $94,000 $90,400,000 $94,000,000 SM0958 [NS.] Which of the following has the greatest value? 5 [NS.] What is 67,84,59 rounded to the nearest hundred thousand? 67,000,000 67,800,000 67,80,000 67,900,000 SM SM06 6 [NS.] What is 58,607 rounded to the nearest hundred? 58,000 58,600 58,700 84,000 SM06 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 7

10 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 7 [NS.5] Which fraction represents the largest part of a whole? 9 [NS.7] Which square is ¼ shaded? SM0865 [NS.6] Which fraction means the same as 0.7? SM SM [NS.8] The numbers in the pattern decrease by the same amount each time. What are the next three numbers in this pattern? 0, 8, 6, 4,,,, 0,, 4 0,, 0,, 4 0,, SM096 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 8

11 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions [NS...8] Which symbol is located at on the number line below? [NS.9] What fraction is best represented by point P on this number line? P SM057 SM045 [NS.8] Marisol is counting by s. If she starts counting at 0, what two numbers are missing below? 0, 7, 4,,,, 4 [NS.9] On the number line below, what number does point M represent? M 8, 5 9, 7 0,, SM SM07 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 9

12 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 5 [NS.9] Look at the number line etween which two shapes is? between and between and between and between and 4 SM094 6 [NS.] On Thursday hris drove 67 miles, on Friday he drove 68 miles, and on Saturday he drove 7 miles. pproximately how many miles did hris drive in the three days? 00 miles 00 miles 00 miles 400 miles SM068 7 [NS.] The total length of a vehicle is 05.8 inches. What is the length of the vehicle rounded to the nearest whole number? 00 inches 05 inches 06 inches 0 inches SM06 8 [NS.] = [NS.] [NS.] 67 6 = R 44 R SM05 SM77 SM07 [NS.] Justin solved the problem below. Which expression could be used to check his answer? (454 )+ (454 )+ (454 + ) (454 + ) 454 r )64 SM079 [NS.] This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 0

13 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions [NS.] There are 58 cases of soda in a warehouse. If there are 4 cans of soda in each case, how many cans of soda are in the warehouse? SM064 5 [NS.4] There are 9 rows of seats in a theater. Each row has the same number of seats. If there is a total of 6 seats, how many seats are in each row? SM04 [NS.] There are 40 teachers at a school. Each teacher is provided with 500 sheets of paper. How many sheets of paper is this in all? 0,000 00,000,000,000 0,000,000 SM09 6 [NS.4] Maria read a 0-page book in 7 days. She read the same number of pages each day. How many pages did she read each day? SM070 4 [NS.] year has 65 days, and a day has 4 hours. How many hours are in 65 days? SM080 7 [NS.4] Jeb paid $7 for a magazine subscription. If he is paying $4 for each issue of the magazine, how many issues of the magazine will he receive? SM066 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

14 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 8 [NS 4.] Which of these is another way to write the product 7? [NS 4.] Which statement is true? The only factors of 8 are and 8. The only factors of 9 are and 9. The only factors of 0 are and 0. The only factors of are and. 0 [NS 4.] Which is a prime number? SM004 SM004 SM07 [F.] Which number is represented by n? 8 n = 8 [F.] What is the value of the expression below? 0 0 ( + 4 ) ( 7 ) SM0 [F.] What is the value of the expression below if a =? 5 (a+8) [F.] ( 8 + ) ( )= SM05 SM SM9 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

15 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions 5 [F.] What is the value of x? ( 6 ) ( 4 )= x SM [F.] nna bought bags of red gumballs and 5 bags of white gumballs. Each bag of gumballs had 7 pieces in it. Which expression could nna use to find the total number of gumballs she bought? ( 7 ) +5 = ( 7 5) + = 7 (5 + )= 7 + (5 ) = SM087 6 [F.] ( 4 + ) = 9 ( 9 ) 6 [F.] + = SM SM [F.] 5 0 ( ) 5 8 = 40 [F.4] Which equation below represents the area () of the rectangle in square centimeters? 8 4 SM cm 9 cm 45 = 9 = 45 9 = ( 45) + ( 9) 45 = ( ) + ( 9) SM0944 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

16 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 4 [F.5] Look at the problem below. If + = 7, what is,? 7 4, = + +4 SM [F.5] The sum of x plus y equals 6. If x = 7, which equation can be used to find the value of y? y 7 = y=6 x y=6 x + 7 = 6 SM [F.] The letters S and T stand for numbers. If S 00 = T 00, which statement is true? S= T S> T S= T +00 S> T +00 SM [F.] = SM [F.] Tina and erek collect baseball cards. Each has the same number of cards. If Roberto gives Tina and erek 5 more baseball cards each, who will have the greater number of baseball cards, Tina or erek? Tina erek Tina and erek will have the same number of baseball cards. There is not enough information to answer the question. SM [F.] What number goes in the box to make this number sentence true? ( 7 ) 5 = 4, SM00698 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 4

17 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions [F.] 47 If 7 = 7 a, what is the value of a? 7 4 SM [MG.4] This figure is made of three squares joined together. in. in. in. 48 [F.] = = SM [MG.] Which statement about the figures is true? 5 in. What is the area of the figure in square inches? 9 square inches 8 square inches 7 square inches 8 square inches SM005 4 Figure 0 Figure They both have the same area. They both have the same width. They both have the same length. They both have the same perimeter. SM0700 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 5

18 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 5 [MG.] hu plotted points on a grid. The points were all on the same straight line. 5 [MG.] Look at the line segment shown below. y (, ) (6, ) x If she plots another point on the line, what could be its coordinates? (,5) (4,4) (6,) (7, ) What is the length of the line segment? unit units 4 units 6 units SM0994 SM0999 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 6

19 G R E 4 L I F O R N I ST N R S T E ST Math Released Test Questions 5 [MG.] Look at the graph. Point S is at (5, 8). Point F is at (5, ). 54 [MG.] What is the length of the line segment shown on the grid? y y S (,4) 7 6 x 5 4 F x 9 units 7 units (,, 5) How can you find the number of units from point S to point F? 5 units 4 units dd: 5 +8 SM00459 dd: +8 Subtract: 8 5 Subtract: 8 SM089 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 7

20 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 55 [MG.] Which figures below show pairs of lines that appear to be parallel? Figure 56 [MG.] Look at the circle with center O. O Figure The line segment appears to be Figure an arc. a perimeter. a radius. a diameter. SM068 Figure only Figure only Figure and Figure Figure and Figure SM0976 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 8

21 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions [MG.] 57 Which pair of shapes is congruent? 58 [MG.6] Which figure can form a pyramid when folded on the dotted lines without overlapping? SM0 SM95 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 9

22 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 59 [MG.7] What kind of a triangle always has 60 [MG.8] Which shape must have four equal acute angles and sides the same length? sides and four right angles? isosceles square right rectangle equilateral rhombus scalene parallelogram SM00677 SM066 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 0

23 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions 6 [SP.] Pietro surveyed 5 students about their favorite colors and made this bar graph. Number of Students Favorite olors lue Green Red Yellow Purple Which of the following tally charts did he use to make this graph? Favorite olors lue Green Red Yellow Purple Favorite olors lue Green Red Yellow Purple Favorite olors lue Green Red Yellow Purple Favorite olors lue Green Red Yellow Purple SM97 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

24 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 [SP.] 6 What is the mode of this set of numbers? {,,,, 4, 4, 6} 4 6 SN007 6 [SP.] t a local school, the fourth, fifth, and sixth graders sold flowers as a fundraiser. The bar graph below shows how many flowers were sold by each grade. Number of Flowers Flowers Grade 4 Grade 5 Grade 6 How many flowers did the students sell in all? SM090 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

25 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions 64 [SP.] Royce has a bag with 8 red marbles, 4 blue marbles, 5 green marbles, and 9 yellow marbles all the same size. If he pulls out marble without looking, which color is he most likely to choose? red blue green yellow SN0054 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

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27 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 4 Question Number orrect nswer Standard Year of Test NS. 4NS. 4NS. 4NS. 4NS. 4NS. 4NS.5 4NS.6 4NS.7 4NS.8 4NS.8 4NS.8 4NS.9 4NS.9 4NS.9 4NS. 4NS. 4NS. 4NS. 4NS. 4NS. 4NS. 4NS. 4NS. 4NS.4 4NS.4 4NS.4 4NS4. 4NS4. 4NS4. 4F. 4F. 4F. 4F. 4F. 4F. 4F. 4F. 4F. 4F.4 4F.5 4F.5 4F This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 5

28 G R E L I F O R N I ST N R S T E ST 4 Math Released Test Questions Question Number orrect nswer Standard Year of Test 44 4F F F F F MG MG MG MG MG MG MG MG MG MG MG MG PS PS PS PS. 00 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 6

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33 Mathematics 5th GRE alifornia Standards Test Released Test Items Los anos Unified School istrict 77 S. th Street Los anos, 965

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35 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 Introduction - Grade 5 Mathematics The following released test questions are taken from the Grade 5 Mathematics Standards Test. This test is one of the alifornia Standards Tests administered as part of the Standardized Testing and Reporting (STR) Program under policies set by the State oard of Education. ll questions on the alifornia Standards Tests are evaluated by committees of content experts, including teachers and administrators, to ensure their appropriateness for measuring the alifornia academic content standards in Grade 5 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 alifornia Standards Test forms in 00, 004, 005, and 006. First on the pages that follow are lists of the standards assessed on the Grade 5 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. NUMER OF NUMER OF STRN/REPORTING QUESTIONS ON RELESE TEST LUSTER EXM QUESTIONS Number Sense Estimation, Percents, and Factoring Number Sense Operations with Fractions and ecimals 7 5 lgebra and Functions 7 7 Measurement and Geometry 5 5 Statistics, ata nalysis, and Probability 4 4 TOTL In selecting test questions for release, three criteria are used: () the questions adequately cover a selection of the academic content standards assessed on the Grade 5 Mathematics Test; () the questions demonstrate a range of difficulty; and () 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 alifornia Standards Tests, visit the alifornia epartment of Education s Web site at This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education.

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37 Number of Times Standard Has een Taught # of Items ST Grade Fifth Mathematics ontent Standards Number Sense. Estimate, round, and manipulate very large (millions) and very small (thousandths) numbers.. Interpret percents as a part of a hundred; find decimal and percent equivalents for common 5 fractions & explain why they represent the same value; compute a given percent of a whole number.. Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication..4 etermine the prime factors of all numbers through 50 & write the numbers as the product of their prime factors by using exponents to show multiples of a factor (e.g., 4 = x x x = x )..5 Identify and represent on a number line decimals, fractions, mixed numbers and positive and negative integers.. dd, subtract, multiply, and divide with decimals; add with negative integers; subtract 7 positive integers from negative integers; and verify the reasonableness of the results.. emonstrate proficiency with division, including division with positive decimals and long division with multidigit divisors.. Solve simple problems, including ones arising in concrete situations, involving the addition 5 and subtraction of fractions and mixed numbers (like and unlike denominators of 0 or less), and express answers in the simplest form..4 Understand the concept of multiplication and division of fractions..5 ompute and perform simple multiplication and division of fractions and apply these procedures to solving problems. lgebra and Functions. Use information taken from a graph or equation to answer questions about a problem situation.. Use a letter to represent an unknown number; write and evaluate simple algebraic 6 expressions in one variable by substitution.. Know and use the distributive property in equations and expressions with variables. 4.4 Identify and graph ordered pairs in the four quadrants of the coordinate plane..5 Solve problems involving linear functions with integer values; write the equation; and graph 5 the resulting ordered pairs of integers on a grid. Measurement and Geometry /* /* 4 /* /*. erive and use the formula for the area of a triangle and of a parallelogram by comparing it with the formula for the area of a rectangle (i.e., two of the same triangles make a parallelogram with twice the area; a parallelogram is compared with a rectangle of the same area by pasting and cutting a right triangle on the parallelogram).. onstruct a cube and rectangular box from two-dimensional patterns and use these patterns to compute the surface area for these objects.. Understand the concept of volume and use the appropriate units in common measuring systems (i.e., cubic centimeter [cm ], cubic meter [m ], cubic inches [in. ], cubic yard [yd. ]) to compute the volume of rectangular solids..4 ifferentiate between, and use appropriate units of measures for, two- and three-dimensional objects (i.e., find the perimeter, area, volume).. Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (straightedge, ruler, compass, protractor, drawing software).. Know that the sum of the angles of any triangle is 80 and the sum of the angles of any quadrilateral is 60 and use this information to solve problems.. Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids. Statistics, ata nalysis, and Probability. Know the concepts of mean, median, and mode; compute and compare them simple examples to show that they may differ.. Organize and display single-variable data in appropriate graphs and representations (e.g., histogram, circle graphs) and explain which types of graphs are appropriate for various data sets. /*. Use fractions and percentages to compare data sets of different sizes..4 Identify ordered pairs of data from a graph and interpret the meaning of the data in terms of /* the situation depicted by the graph. /*.5 Know how to write ordered pairs correctly; for example, (x, y). * Fractional values indicate rotated standards (e.g, / = rotated every two years; / = rotated every three years); Key standards comprise a minimum of 70% of test 5

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39 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 [NS.] What is rounded to the nearest ten? SM04 [NS.] The total land area for the United States is,57,48 square miles. What is this value rounded to the nearest thousand square miles?,500,000,57,000,58,000,540,000 5 [NS.] What is the decimal 0.7 written as a fraction? SM [NS.] company donated 00 books to a local library. If 70 of them are fiction, what percent of the donated books are fiction? [NS.] What is 40% of 50? SM097 SM075 5% 40% 60% 65% SM [NS.] In a parking lot, out of every 8 cars is blue. What percent of the cars in this lot are blue? 4 [NS.4] What is 6.7% 0% 7.5% 50% 8 written as a percent? SM05.5% 7% 9%.5% 8 [NS.] 5 = SM050 SM009 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 7

40 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions 9 [NS.4] What is the prime factorization of 45? [NS.5] Which point on the number line best represents.5? SM058 0 [NS.4] What is the prime factorization of? 4 SM0 [NS.4] What is the prime factorization of 6? SM065 [NS.5] P Q R S SM07 Which letter on the number line best identifies the location of 6? 4 [NS.].. 7 = SM047 P Q R S SM065 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 8

41 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 5 [NS.] Javier bought 9 pounds of ground beef. He saved $8.7 by using a store coupon. How much did he save per pound of ground beef? $0.89 $0.9 $.08 $75. SM57 6 [NS.] Veronica can type 8 words per minute. t this rate, how many words can Veronica type in 5.5 minutes? SM [NS.] Tony had a rope 8.5 meters long. He cut off.6 meters. How long was the piece of rope that was left? 5.65 meters 5.75 meters 6.65 meters 6.75 meters [NS.] = [NS.] 5, = SM00 SM06 [NS.] t a school, there are 704 desks to place into classrooms. If the same number of desks is placed in each classroom, how many desks will be in each room? SM094 SM [NS.] SM56 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 9

42 G R E. L I F O R N I ST N R S T E ST 5 Math Released Test Questions [NS.] [NS.] Maurice talked on the telephone to two friends. He talked to Sherry for hour, and to Gabriel 4 for hour. How much time did Maurice spend on the telephone? [NS.4] 4 It takes Suzanne hour to walk to the 6 playground and hour to walk from the playground to school. How much time does it hour 6 hour 7 5 hour 7 hour SM00 take Suzanne to walk to the playground and then to school? hour 9 hour hour [NS.} = SM47 hour SM [NS.] = SM00 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 40

43 Released Test Questions L I F O R N I ST N R S T E ST [F.] G R E Math 5 [NS.] 6 Hector can throw a ball 50 feet. Lee can 5 throw the same ball 48 feet. How much farther can Hector throw the ball than Lee? feet 5 4 feet 5 feet 5 8 [NS.5] i = SM079 4 feet 5 7 [NS.4] = 4 5 SM095 SM [F.] c + Which situation could be described by the expression above? Lia jogged c miles yesterday, and miles farther today. Lia jogged c miles yesterday, and miles fewer today. Lia jogged miles yesterday, and c miles fewer today. Lia jogged miles yesterday, and c times as far today. SM0075 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 4

44 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions 0 [F.] If N = 4, what is the value of 6 N? [F.] 4 If z =, what is 5 (6 z)? SM000 [F.] If k = 6, what is the value of 7k? SM096 [F.] If n =, what is the value of 6 n? SM005 [F.] Which expression represents the product of n and 5? SM06 5 [F.] Sophie caught twice as many fish as her dad. If her dad caught F fish, how many fish did Sophie catch? F + F F F SM079 6 [F.] What value for z makes this equation true? 8 7 = (8 0) + (8 z) SM0040 5n 5 n 5 + n 5 n SM5 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 4

45 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 [F.4] 7 The map below shows the starting positions of two scientists studying plants in a rain forest. 8 [F.4] The map below shows the location of 4 different stores. W Scientists in Rain Forest N 5 4 Hallie Joe E Shoe Store 4 Toy Store y Grocery Store -5 - Hardware Store x S Which ordered pair best names Joe s location? (, 4) ( 4, ) ( 4, ) ( 4, ) Which store is at the point (, )? Hardware Store Grocery Store Shoe Store Toy Store SM5 SM006 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 4

46 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions 9 [F.4] The map below shows the locations of rides at an amusement park. Maria was at the point (, 4). musement Park Rides N (north) Ferris Wheel Water Slide Log Ride (west) W Little - ipper - Giant Sky - oaster 4 Train E (east) 40 [F.4] What is the ordered pair for point? y x S (south) She walked units west and units north. Which ride did she walk to? Giant oaster Little ipper Sky Train Ferris Wheel ( 4, ) (, 4 ) (, 4) (, 4) SM09 SM005 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 44

47 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 4 [F.5] Which equation could have been used to create this function table? x y = y = x x y [F.5] Line m is represented by the equation y= m y x y = x 4 y = x +4 SM004 Which ordered pair is located on line m? (, 4) (0, 0) (4, ) (4, 0) SM094 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 45

48 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions [F.5] 4 Which table represents values of x and y such that y = x +5? x - y x y [F.5] Joaquin charges $4.00 per hour to baby-sit. What equation could Joaquin use to find the number of hours (h) he needs to baby-sit in order to earn $50.00? 4h = 50 h = 50 4 h 4= h =50 x y x y 0 SM SM8 46 [MG.] In the figure below, WXYZ is a parallelogram. W Z 44 [F.5] Which equation shows the relationship of all the values in the table below? x 0 y X If the area of triangle WXY is square inches, what is the area of WXYZ? square inches square inches square inches 44 square inches Y SM0750 y = x x = y + y = x + x = y SM0 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 46

49 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 [MG.] 47 In this parallelogram, triangle has an area of 7 square feet. 49 [MG.] 4 in. 8 in. What is the area, in square feet, of the parallelogram? SM06 48 [MG.] What is the surface area of the box formed by the pattern below? cm 4 cm in. This rectangular prism has a length of 4 inches, a height of 8 inches, and a width of inches. What is the volume? 5 cu in. 4 cu in. cu in. 6 cu in. SM07 50 [MG.] What is the volume, in cubic inches, of the school locker below? cm cm cm cm cm 9 0 in. 4 cm cm cm 4 cm 4 cm 8 cm SM in. 8 in. SM0 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 47

50 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions 5 [MG.] What is the volume of a cube that measures 0 inches on each edge? 54 [MG.] Which of the following best describes the figure below? 0 cubic inches 00 cubic inches 000 cubic inches 0,000 cubic inches SM00 5 [MG.4] store has a rectangular parking lot that is 00 feet by 0 feet. What is the perimeter of the parking lot? 0 feet acute angles 440 feet obtuse angles 00 square feet parallel lines,000 square feet perpendicular lines SM84 5 [MG.] Which is closest to the measure of the angle shown below? SM8 55 [MG.] What is the approximate measure of this angle in degrees? 00 o 90 o 80 o 0 o 70 o 0 o 80 o 90 o 00 o 60 o 0 o 70 o 0 o 50 o 60 o 0 o 40 o 50 o 0 o 40 o 50 o 40 o 40 o 0 o 0 o 50 o 60 o 0 o 0 o 60 o 70 o 0 o 70 o 0 o 80 o 0 o 80 o 0o SM97 SM04 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 48

51 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 56 [MG.] z 58 [MG.] Nina made a triangle by cutting the corner off a sheet of paper o What is the measure of angle z in the figure above?? 0 80 One angle is 45. What is the measure of the third angle of Nina s triangle? 0 SM [MG.] SM4 M L N Triangle LMN is a right triangle, and angles L and N are equal. What is the measure of angle L? SM046 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 49

52 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions 59 [MG.] ndrew constructed a triangle so that and were the same size and measured [SP.] Sharice scored the following numbers of points in 5 dart games. 88, 96,, 5, 44 What is the median of these numbers? 80 o SN0066 What is the measure of? SM9 60 [MG.] The figure below is made of small cubes. Top Front Side Which best shows the side view of the figure? SM00 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 50

53 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 6 [SP.] Students were asked how they traveled to school each day. The table below shows these results. Travel to School Type of Travel Percentage us 50% ar 0% Walk 5% ike 5% Which graphic correctly displays these data? Travel Type Travel Type ar us ar us ike Walk ike Walk Travel Type Travel Type Walk ar ar us ike Walk us ike SM0 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 5

54 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions 6 [SP.4] Regina s piano teacher kept this record of Regina s progress on a song she is memorizing. Percent Memorized Piano Practice Number of ays Practiced How many days of practice did it take for Regina to memorize half of the song? SN0080 [SP.5] 64 Which point represents (5, ) on this graph? y point K point L point M point N K L M N x SM99 This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 5

55 Released Test Questions L I F O R N I ST N R S T E ST G R E Math 5 Question Number orrect nswer Standard Year of Test NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS.4 5NS.4 5NS.4 5NS.5 5NS.5 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS. 5NS.4 5NS.5 5F. 5F. 5F. 5F. 5F. 5F. 5F. 5F. 5F.4 5F.4 5F.4 5F.4 5F.5 5F.5 5F.5 5F.5 5F This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 5

56 G R E L I F O R N I ST N R S T E ST 5 Math Released Test Questions Question Number orrect nswer Standard Year of Test 46 5MG MG MG MG MG MG MG MG MG MG MG MG MG MG MG PS PS PS PS This is a sample of alifornia Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opyright 007 alifornia epartment of Education. 54

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