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New York Regents Mathematics B August 2002

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The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, August 13, 2002 8:30 to 11:30 a.m., only Print Your Name: Print Your School s Name: Print your name and the name of your school in the boxes above. Then turn to the last page of this booklet, which is the answer sheet for Part I. Fold the last page along the perforations and, slowly and carefully, tear off the answer sheet. Then fill in the heading of your answer sheet. Scrap paper is not permitted for any part of this examination, but you may use the blank spaces in this booklet as scrap paper. A perforated sheet of scrap graph paper is provided at the end of this booklet for any question for which graphing may be helpful but is not required. Any work done on this sheet of scrap graph paper will not be scored. All work should be written in pen, except graphs and drawings, which should be done in pencil. This examination has four parts, with a total of 34 questions. You must answer all questions in this examination. Write your answers to the Part I multiple-choice questions on the separate answer sheet. Write your answers to the questions in Parts II, III, and IV directly in this booklet. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The formulas that you may need to answer some questions in this examination are found on page 2. When you have completed the examination, you must sign the statement printed at the end of the answer sheet, indicating that you had no unlawful knowledge of the questions or answers prior to the examination and that you have neither given nor received assistance in answering any of the questions during the examination. Your answer sheet cannot be accepted if you fail to sign this declaration. Notice. . . A graphing calculator, a straightedge (ruler), and a compass must be available for your use while taking this examination. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN. Formulas Law of Cosines Area of Triangle K= 1 ab 2 a2 = b2 + c2 2bc cos A sin C Functions of the Sum of Two Angles Functions of the Double Angle sin (A + B) = sin A cos B + cos A sin B cos (A + B) = cos A cos B sin A sin B sin 2A = 2 sin A cos A cos 2A = cos2 A sin2 A cos 2A = 2 cos2 A 1 cos 2A = 1 2 sin2 A Functions of the Difference of Two Angles sin (A B) = sin A cos B cos A sin B cos (A B) = cos A cos B + sin A sin B Functions of the Half Angle Law of Sines sin a=b=c sin A sin B sin C 1 2 A = 1 cos A 2 cos 1 A = 1 + cos A 2 2 Normal Curve Standard Deviation 19.1% 19.1% 15.0% 15.0% 9.2% 0.1% 0.5% 3 9.2% 4.4% 1.7% 2.5 2 1.5 4.4% 1 0.5 0 0.5 1 1.5 0.5% 1.7% 2 2.5 3 0.1% Part I Answer all questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. Record your answers in the spaces provided on the separate answer sheet. [40] 1 Which fraction represents the probability of obtaining exactly eight heads in ten tosses of a fair coin? (1) 45 1, 024 (3) 90 1, 024 (2) 64 1, 024 (4) Use this space for computations. 180 1, 024 2 In a New York City high school, a survey revealed the mean amount of cola consumed each week was 12 bottles and the standard deviation was 2.8 bottles. Assuming the survey represents a normal distribution, how many bottles of cola per week will approximately 68.2% of the students drink? (1) 6.4 to 12 (3) 9.2 to 14.8 (2) 6.4 to 17.6 (4) 12 to 20.4 3 What is the solution of the inequality |x + 3| 5? (1) 8 x 2 (3) x 8 or x 2 (2) 2 x 8 (4) x 2 or x 8 4 What is the domain of f(x) = 2x? (1) all integers (3) x 0 (2) all real numbers (4) x 0 5 A function is defined by the equation y = 5x 5. Which equation defines the inverse of this function? (1) y = 1 5x 5 (2) y = 5x + 5 Math. B Aug. 02 (3) x = 1 5y 5 (4) x = 5y 5 [3] [OVER] 6 An architect is designing a building to include an arch in the shape of a semi-ellipse (half an ellipse), such that the width of the arch is 20 feet and the height of the arch is 8 feet, as shown in the accompanying diagram. y 8 ft x 20 ft Which equation models this arch? 2 2 (1) x + y = 1 100 64 2 y2 (2) x + =1 400 64 2 (3) x + 64 2 (4) x + 64 y2 =1 100 y2 =1 400 7 To balance a seesaw, the distance, in feet, a person is from the fulcrum is inversely proportional to the person s weight, in pounds. Bill, who weighs 150 pounds, is sitting 4 feet away from the fulcrum. If Dan weighs 120 pounds, how far from the fulcrum should he sit to balance the seesaw? (1) 4.5 ft (3) 3 ft (2) 3.5 ft (4) 5 ft 8 What is the last term in the expansion of (x + 2y)5? (3) 10y5 (1) y5 5 (2) 2y (4) 32y5 Math. B Aug. 02 [4] Use this space for computations. 9 In the equation log x 4 + log x 9 = 2, x is equal to (1) 13 (2) 6 (3) 6.5 (4) 18 10 Which expression represents the sum of (1) 23 (2) Use this space for computations. + (3) 2 5 3 (4) 32 6 3 + 1 3 and 1 2 ? 2 3 + 2 2 11 Which equation has imaginary roots? (3) x2 + x + 1 = 0 (1) x2 1 = 0 2 2=0 (2) x (4) x2 x 1 = 0 12 If log k = c log v + log p, k equals (3) vc + p (1) v c p c (2) (vp) (4) cv + p 13 If nCr represents the number of combinations of n items taken r at a 3 time, what is the value of (1) 24 (2) 14 Math. B Aug. 02 4C r ? r =1 (3) 6 (4) 4 [5] [OVER] 14 In the accompanying diagram of ABC, m A = 30, m C = 50, and AC = 13. B A 30 50 13 C What is the length of side AB to the nearest tenth? (1) 6.6 (3) 11.5 (2) 10.1 (4) 12.0 15 Expressed in simplest form, i16 + i6 2i5 + i13 is equivalent to (1) 1 (3) i (2) 1 (4) i 16 If point (a,b) lies on the graph y = f(x), the graph y = f 1(x) must contain point (1) (b,a) (3) (0,b) (2) (a,0) (4) ( a, b) 17 If the sum of the roots of x2 + 3x 5 = 0 is added to the product of its roots, the result is (1) 15 (3) 2 (2) 15 (4) 8 1 3 18 The expression 3 2 is equivalent to 33 (1) 1 (3) 3 1 (2) 3 (4) 3 3 Math. B Aug. 02 [6] Use this space for computations. 19 The accompanying graph represents the figure . Use this space for computations. y x Which graph represents ry = x R90 ? after a transformation defined by y y x x (1) (3) y y x x (2) (4) x x+2 ? 20 Which expression is equivalent to the complex fraction 1 x x+2 2x 2 (1) x (3) + x2 x x (2) (4) 22+ 2 x4 Math. B Aug. 02 [7] [OVER] Part II Answer all questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [12] 21 A used car was purchased in July 1999 for $11,900. If the car depreciates 13% of its value each year, what is the value of the car, to the nearest hundred dollars, in July 2002? 22 The amount of time that a teenager plays video games in any given week is normally distributed. If a teenager plays video games an average of 15 hours per week, with a standard deviation of 3 hours, what is the probability of a teenager playing video games between 15 and 18 hours a week? Math. B Aug. 02 [8] 23 An art student wants to make a string collage by connecting six equally spaced points on the circumference of a circle to its center with string. What would be the radian measure of the angle between two adjacent pieces of string, in simplest form? 24 The Franklins inherited $3,500, which they want to invest for their child s future college expenses. If they invest it at 8.25% with interest compounded monthly, determine the value of the account, in dollars, r nt after 5 years. Use the formula A = P( 1 + n ) , where A = value of the investment after t years, P = principal invested, r = annual interest rate, and n = number of times compounded per year. Math. B Aug. 02 [9] [OVER] 25 A toy truck is located within a circular play area. Alex and Dominic are sitting on opposite endpoints of a chord that contains the truck. Alex is 4 feet from the truck, and Dominic is 3 feet from the truck. Meira and Tamara are sitting on opposite endpoints of another chord containing the truck. Meira is 8 feet from the truck. How many feet, to the nearest tenth of a foot, is Tamara from the truck? Draw a diagram to support your answer. 26 Two sides of a triangular-shaped pool measure 16 feet and 21 feet, and the included angle measures 58 . What is the area, to the nearest tenth of a square foot, of a nylon cover that would exactly cover the surface of the pool? Math. B Aug. 02 [10] Part III Answer all questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [24] 27 The cost (C) of selling x calculators in a store is modeled by the 3,200,000 equation C = + 60,000. The store profit (P) for these sales is x modeled by the equation P = 500x. What is the minimum number of calculators that have to be sold for profit to be greater than cost? 28 Two tow trucks try to pull a car out of a ditch. One tow truck applies a force of 1,500 pounds while the other truck applies a force of 2,000 pounds. The resultant force is 3,000 pounds. Find the angle between the two applied forces, rounded to the nearest degree. Math. B Aug. 02 [11] [OVER] 29 A rock is thrown vertically from the ground with a velocity of 24 meters per second, and it reaches a height of 2 + 24 t 4.9t2 after t seconds. How many seconds after the rock is thrown will it reach maximum height, and what is the maximum height the rock will reach, in meters? How many seconds after the rock is thrown will it hit the ground? Round your answers to the nearest hundredth. [Only an algebraic or graphic solution will be accepted.] Math. B Aug. 02 [12] 30 In the accompanying diagram, ABC is not isosceles. Prove that if altitude BD were drawn, it would not bisect AC . B A Math. B Aug. 02 C [13] [OVER] 31 Graph and label the following equations, a and b, on the accompanying set of coordinate axes. a: y = x2 b: y = (x 4)2 + 3 Describe the composition of transformations performed on a to get b. y x Math. B Aug. 02 [14] 32 The breaking strength, y, in tons, of steel cable with diameter d, in inches, is given in the table below. d (in) 0.50 0.75 y (tons) 9.85 21.80 38.30 59.20 84.40 114.00 1.00 1.25 1.50 1.75 On the accompanying grid, make a scatter plot of these data. Write the exponential regression equation, expressing the regression coefficients to the nearest tenth. Math. B Aug. 02 [15] [OVER] Part IV Answer all questions in this part. Each correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [12] 33 Carmen and Jamal are standing 5,280 feet apart on a straight, horizontal road. They observe a hot-air balloon between them directly above the road. The angle of elevation from Carmen is 60 and from Jamal is 75 . Draw a diagram to illustrate this situation and find the height of the balloon to the nearest foot. Math. B Aug. 02 [16] 34 Electrical circuits can be connected in series, one after another, or in parallel circuits that branch off a main line. If circuits are hooked up in parallel, the reciprocal of the total resistance in the series is found by adding the reciprocals of each resistance, as shown in the accompanying diagram. R1 RT R2 1+1=1 R1 R2 RT If R1 = x, R2 = x + 3, and the total resistance, RT , is 2.25 ohms, find the positive value of R1 to the nearest tenth of an ohm. Math. B Aug. 02 [17] Tear Here Tear Here Scrap Graph Paper This sheet will not be scored. Scrap Graph Paper This sheet will not be scored. Tear Here Tear Here The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION Tear Here MATHEMATICS B Tuesday, August 13, 2002 8:30 to 11:30 a.m., only ANSWER SHEET Male Female Grade Student .............................................. Sex: Teacher .............................................. School . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ......... Your answers to Part I should be recorded on this answer sheet. Part I Answer all 20 questions in this part. 1 .................... 6 .................... 11 . . . . . . . . . . . . . . . . . . . . 16 . . . . . . . . . . . . . . . . . . . . 2 .................... 7 .................... 12 . . . . . . . . . . . . . . . . . . . . 17 . . . . . . . . . . . . . . . . . . . . 3 .................... 8 .................... 13 . . . . . . . . . . . . . . . . . . . . 18 . . . . . . . . . . . . . . . . . . . . 4 .................... 9 .................... 14 . . . . . . . . . . . . . . . . . . . . 19 . . . . . . . . . . . . . . . . . . . . 5 .................... 10 . . . . . . . . . . . . . . . . . . . . 15 . . . . . . . . . . . . . . . . . . . . 20 . . . . . . . . . . . . . . . . . . . . Your answers for Parts II, III, and IV should be written in the test booklet. The declaration below should be signed when you have completed the examination. Tear Here I do hereby affirm, at the close of this examination, that I had no unlawful knowledge of the questions or answers prior to the examination and that I have neither given nor received assistance in answering any of the questions during the examination. Signature Math. B Aug. 02 [23] MATHEMATICS B Maximum Credit Part I 1 20 40 Part II 21 2 22 2 23 2 24 2 25 2 26 2 27 4 28 4 29 4 30 4 31 4 32 4 33 6 34 6 Part III Part IV Maximum Total Credits Earned Rater s/Scorer s Initials Rater s/Scorer s Name (minimum of three) Tear Here Question 88 Total Raw Score Checked by Scaled Score Notes to raters. . . Each paper should be scored by a minimum of three raters. The table for converting the total raw score to the scaled score is provided in the scoring key for this examination. The scaled score is the student s final examination score. Tear Here Math. B Aug. 02 [24] FOR TEACHERS ONLY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, August 13, 2002 8:30 to 11:30 a.m., only SCORING KEY Mechanics of Rating The following procedures are to be followed for scoring student answer papers for the Mathematics B examination. More detailed information about scoring is provided in the publication Information Booklet for Administering and Scoring the Regents Examinations in Mathematics A and Mathematics B. Use only red ink or red pencil in rating Regents papers. Do not attempt to correct the student s work by making insertions or changes of any kind. Use checkmarks to indicate student errors. Unless otherwise specified, mathematically correct variations in the answers will be allowed. Units need not be given when the wording of the questions allows such omissions. Each student s answer paper is to be scored by a minimum of three mathematics teachers. On the back of the student s detachable answer sheet, raters must enter their initials in the boxes next to the questions they have scored and also write their name in the box under the heading Rater s/Scorer s Name. Raters should record the student s scores for all questions and the total raw score on the student s detachable answer sheet. Then the student s total raw score should be converted to a scaled score by using the conversion chart printed at the end of this key. The student s scaled score should be entered in the box provided on the student s detachable answer sheet. The scaled score is the student s final examination score. Part I Allow a total of 40 credits, 2 credits for each of the following. Allow credit if the student has written the correct answer instead of the numeral 1, 2, 3, or 4. (1) 1 (6) 1 (11) 3 (16) 1 (2) 3 (7) 4 (12) 1 (17) 4 (3) 1 (8) 4 (13) 2 (18) 3 (4) 2 (9) 2 (14) 2 (19) 3 (5) 4 (10) 1 (15) 4 (20) 2 [1] [OVER] MATHEMATICS B continued Part II For each question, use the specific criteria to award a maximum of two credits. (21) [2] 7,800, and appropriate work is shown. [1] Appropriate work is shown, but one computational or rounding error is made. or [1] 7,800, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (22) [2] 0.341 or 34.1% or an equivalent answer, and appropriate work is shown. [1] 0.682 or 0.841 or some other probability related to one standard deviation from the mean is shown. or [1] 0.341 or 34.1% or an equivalent answer, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (23) [2] , 3 and appropriate work or an appropriate diagram is shown. [1] Appropriate work is shown, but the answer is not expressed in simplest form. or [1] A correct diagram is drawn, but no answer or an incorrect answer is found. or [1] 60 , and appropriate work or an appropriate diagram is shown. or [1] , 3 but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [2] MATHEMATICS B continued (24) ( [2] 5,279.61, and appropriate work is shown, such as 3,500 1 + 0.0825 (12 5) . 12 ) [1] Appropriate work is shown, but one computational or substitution error is made. or [1] 5,279.61, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (25) [2] 1.5 and a correct diagram is drawn, and appropriate work is shown. [1] Appropriate work is shown and a correct answer is found, but an incorrect diagram is drawn. or [1] A correct diagram is drawn, but no further correct work is shown. or [1] An incorrect diagram is drawn, but an appropriate answer is found. or [1] 1.5, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [3] [OVER] MATHEMATICS B continued (26) [2] 142.5, and appropriate work is shown, such as 1 (16)(21)(sin 2 58 ). [1] Appropriate work is shown, but one computational or rounding error is made. or [1] An incorrect trigonometric function is used, but an appropriate answer is found, such as 1 (16)(21)(cos 58 ), resulting in an answer of 89 or 89.0. 2 or [1] 142.5, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [4] MATHEMATICS B continued Part III For each question, use the specific criteria to award a maximum of four credits. (27) [4] 161, and appropriate work is shown, such as 500 x > 3, 200, 000 + 60,000. x [3] Appropriate work is shown, but one computational error is made or 40 is not rejected. [2] A correct inequality is given in standard form, but it is not solved. [1] An incorrect quadratic inequality of equal difficulty is solved appropriately. or [1] 161, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (28) [4] 63, and appropriate work is shown. [3] Appropriate work is shown, but one computational or rounding error is made. or [3] Appropriate work is shown, but the supplement of the angle is found, resulting in an answer of 117. [2] Appropriate work is shown, but more than one computational or rounding error is made. or [2] A conceptual error is made when applying the Law of Cosines. [1] A correctly labeled diagram is drawn, but no further correct work is shown. or [1] 63, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [5] [OVER] MATHEMATICS B continued (29) [4] Time of maximum height = 2.45, maximum height = 31.39, time when it hit the ground = 4.98, and appropriate algebraic or graphic work is shown. [Answers for time, in seconds, may vary based on method of solution.] [3] Appropriate algebraic or graphic work is shown, but one computational or graphing error is made. or [3] The times are found correctly, but the maximum height is incorrect. [2] The rock s maximum height and the time it takes to reach that height are found correctly, but the time it takes to hit the ground is incorrect. or [2] The time it takes the rock to hit the ground is found correctly, but the maximum height and the time it takes to reach that height are incorrect. [1] Time of maximum height = 2.45, maximum height = 31.39, time when it hit the ground = 4.98, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (30) [4] The proof in column or paragraph form explains clearly, by using contradiction or indirect proof, that altitude BD does not bisect side AC . [3] An appropriate conclusion is shown, without specifying that congruent triangles are actually formed only if a triangle is isosceles. [2] An appropriate diagram is drawn and some evidence that congruence may be an issue is shown, but no further reasoning is given or no conclusion is drawn. [1] Circular reasoning is used or the statement is said to be true, but no proof by contradiction or indirect proof is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [6] MATHEMATICS B continued (31) [4] Both equations are graphed correctly and the description of the transformation a b is correct, such as T(4,3) rx axis or ry = 3 T(4,3) or T(4,3) R180 or an equivalent explanation, such as a shift right of 4 followed by a reflection over the x-axis followed by a shift up of 3. [3] Both equations are graphed correctly, but only one transformation is shown or described correctly. [2] Both equations are graphed correctly, but no further correct work is shown. [1] Only one equation is graphed correctly, and no composition formula or explanation is shown. or [1] The correct composition formula or explanation is shown, but no graphs or incorrect graphs are drawn. or [1] Both equations are graphed incorrectly, but an appropriate composition formula or explanation is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (32) [4] The scatter plot is completed correctly, and the correct regression equation is given, such as y = 4.8(6.8)x. [3] Appropriate work is shown, but one graphing or rounding error is made. [2] The scatter plot is completed correctly, but the coefficients of the regression equation are transposed. or [2] The scatter plot is inaccurate, but the correct regression equation is given. [1] No scatter plot is drawn, but the correct regression equation is given. or [1] The scatter plot is completed correctly, but no regression equation is given. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [7] [OVER] MATHEMATICS B continued Part IV For each question, use the specific criteria to award a maximum of six credits. (33) [6] 6,246 and a correct diagram is drawn, and appropriate work is shown, such as the use of the Law of Sines twice or the Law of Sines followed by righttriangle trigonometry or another valid method. [5] Appropriate work is shown, but one computational or rounding error is made. [4] One of the two unknown sides of the triangle is calculated correctly and appropriate work is shown, but an incorrect method is used for calculating the altitude. [3] A correct diagram is drawn, and the Law of Sines is used, but one computational or rounding error is made, and the altitude is not found. [2] 6,246 and a correct diagram is drawn, but no further work is shown. or [2] A correct diagram is drawn, but the assumption is made that the altitude bisects the base, and an appropriate altitude is found. [1] Only a correct diagram is drawn, and no further correct work is shown. or [1] 6,246, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [8] MATHEMATICS B concluded (34) [6] 3.5, and appropriate work is shown. [5] Appropriate work is shown, but one computational or rounding error is made. [4] A substitution error is made, resulting in an incorrect quadratic equation of equal difficulty, but the incorrect equation is solved appropriately. [3] A correct substitution is made, resulting in the correct quadratic equation in standard form, but the equation is not solved. [2] A substitution error is made, resulting in an incorrect equation of equal difficulty, and one computational or rounding error is made. [1] 3.5, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. [9] MATHEMATICS B Map to Learning Standards Key Ideas Item Numbers Mathematical Reasoning 30 Number and Numeration 10, 11, 17, 20 Operations 15, 16, 18, 19 Modeling/Multiple Representation 4, 6, 7, 9, 12, 24, 28 Measurement 14, 23, 25, 26, 32, 33 Uncertainty 1, 2, 8, 13, 21, 22 Patterns/Functions 3, 5, 27, 29, 31, 34 Regents Examination in Mathematics B August 2002 Chart for Converting Total Test Raw Scores to Final Examination Scores (Scaled Scores) Raw Score Scaled Score Raw Score Scaled Score 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 100 99 99 98 97 96 96 95 94 94 93 92 92 91 90 90 89 88 88 87 86 85 85 84 83 83 82 81 81 80 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 79 78 78 77 76 75 74 74 73 72 71 70 69 68 67 66 66 65 64 62 61 60 59 58 57 56 55 53 52 51 Raw Score 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 Scaled Score 50 48 47 46 44 43 41 40 38 37 35 34 32 30 28 27 25 23 21 19 17 15 13 11 9 7 5 2 0 To determine the student s final examination score, find the student s total test raw score in the column labeled Raw Score and then locate the scaled score that corresponds to that raw score. The scaled score is the student s final examination score. Enter this score in the space labeled Scaled Score on the student s answer sheet. All student answer papers that receive a scaled score of 60 through 64 must be scored a second time. For the second scoring, a different committee of teachers may score the student s paper or the original committee may score the paper, except that no teacher may score the same open-ended questions that he/she scored in the first rating of the paper. The school principal is responsible for assuring that the student s final examination score is based on a fair, accurate, and reliable scoring of the student s answer paper. Because scaled scores corresponding to raw scores in the conversion chart may change from one examination to another, it is crucial that for each administration, the conversion chart provided in the scoring key for that administration be used to determine the student s final score. The chart above is usable only for this administration of the mathematics B examination.

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Additional Info : Refer : Formulas (page 2) and Scoring Key (page 25)
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