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3 Mathematics Session 1 You may use your reference sheet during this session. You may not use a calculator during this session. DIRECTIONS This session contains fourteen multiple-choice questions, four short-answer questions, and three open-response questions. Mark your answers to these questions in the spaces provided in your Student Answer Booklet. ID: CMC321_midpoint.eps D Common EQ 1 In the diagram below, point M is the midpoint of JK. y ID: C Common EQ 2 A circle has an area of 16π square centimeters. What is the circumference of the circle? A. 32π centimeters B. 16π centimeters C. 8π centimeters D. 4π centimeters K( 2, 4) M( 6, 2) x J What are the coordinates of point J? A. (24, 1) B. (28, 2) C. (210, 24) D. (210, 28) 245

4 Mathematics Session 1 ID: CMC547_equation_line.eps A Common EQ 3 Which of the following equations best represents the line of best fit for the scatterplot below? ID: CMC528_insurance.eps D Common EQ 4 The bar graph below shows the one-year rate quotes Sanjay received from different car insurance companies y 2 A. y x 3 3 B. y x 2 2 C. y x 3 3 D. y x x One-Year Rate \$1400 \$1350 \$1300 \$1250 \$1200 \$1150 \$1100 \$1050 \$1000 \$950 \$900 \$850 \$800 \$0 Car Insurance Rate Quotes M N P Q R S Company What is the mean one-year rate for the quotes Sanjay received? A. \$875 B. \$900 C. \$950 D. \$

5 Mathematics Session 1 ID: C Common EQ 5 What is the x-intercept of the line represented by the equation below? A. 2 B. 6 C. 10 D. 30 ID: D Common EQ 3x 6y 30 6 A new computer can perform computations in 1 second. How many computations can the computer perform in 60 seconds? A B C D ID: A Common EQ 7 The expression below represents the area, in square meters, of a rectangle. x 2 5x 24 Which of the following pairs of expressions could represent the length and width, in meters, of the rectangle? A. ( x 3) and ( x 8) B. ( x 4) and ( x 6) C. ( x 6) and ( x 4) D. ( x 8) and ( x 3) ID: B Common EQ 8 The table below shows the monthly rents charged for different apartments. Apartment Rents Apartment Monthly Rent 1A \$ 750 1B \$ 800 1C \$ 900 1D \$1000 2A \$ 950 2B \$1250 2C \$ 950 2D \$ 900 What is the median monthly rent charged for the apartments? A. \$900 B. \$925 C. \$938 D. \$

6 Mathematics Session 1 ID: D Common EQ 9 A package of 12 bottles of water sells for \$3.89. The manager of a stadium spent a total of \$ on bottles of water. Which of the following is closest to the number of bottles of water the manager bought? A. 100 B. 300 C. 600 D. 900 ID: B Common EQ 10 The first five terms of a linear sequence are shown below. 8, 6, 4, 2, 0,... What is the 100th term in the sequence? A B C D. 290 ID: C Common EQ 11 What is the value of the expression below? A. 214 B. 22 C. 2 D. 14 ID: C Common EQ A square window has an area of 120 square feet. Which of the following is closest to the length of each side of the window? A. 9 feet B. 10 feet C. 11 feet D. 12 feet 248

7 Mathematics Session 1 ID: B Common EQ 13 The list in the box below shows the ticket prices for ten concerts scheduled at a stadium. \$32, \$36, \$65, \$30, \$46, \$19, \$46, \$40, \$70, \$16 A ticket price of \$70 is added to the list. Which of the following measures of the data will change? A. range B. median C. maximum D. minimum ID: B Common EQ 14 What is the value of the expression below? A. 3 B. 9 C. 27 D. 81 ( 3) 4 249

8 Mathematics Session 1 Questions 15 and 16 are short-answer questions. Write your answers to these questions in the boxes provided in your Student Answer Booklet. Do not write your answers in this test booklet. You may do your figuring in the test booklet. ID: Common EQ 15 What is the value of the expression below? 3( 4 6) 3 ID: s_10ma_s07MCAS.eps Common EQ 16 The diagram below shows a right square pyramid. Slant height = 10 cm 16 cm Based on the dimensions in the diagram, what is the lateral surface area, in square centimeters, of the pyramid? 250

10 Mathematics Session 1 Questions 18 and 19 are short-answer questions. Write your answers to these questions in the boxes provided in your Student Answer Booklet. Do not write your answers in this test booklet. You may do your figuring in the test booklet. ID: Common EQ 18 The table below shows a linear relationship between the values of x and y. x y Based on the relationship shown in the table, what is the value of y when x = 5? ID: Common EQ 19 What is the value, to the nearest tenth, of 8? 252

12 Mathematics Session 1 Write your answer to question 21 in the space provided in your Student Answer Booklet. ID: Common EQ 21 A person s score on a timed keyboarding test varies directly with the number of words the person types correctly. Each keyboarding test lasts the same amount of time. On her first test, Catherine earned a score of 75 when she typed 200 words correctly. a. What is the ratio of Catherine s score to the number of words she typed correctly? b. Use your ratio from part (a) to write an equation that can be used to find y, the score for x words typed correctly. On her second test, Catherine typed 240 words correctly. c. Use the equation you wrote in part (b) to find the score Catherine earned on her second test. Show or explain how you got your answer. Catherine wants to earn a score of at least 96 on her third test. d. What is the least number of words Catherine must type correctly to earn a score of 96? Show or explain how you got your answer. 254

13 Mathematics Session 2 You may use your reference sheet during this session. You may use a calculator during this session. DIRECTIONS This session contains eighteen multiple-choice questions and three open-response questions. Mark your answers to these questions in the spaces provided in your Student Answer Booklet. ID: CMC306_parallel2.eps C Common EQ 22 In the diagram below, lines h and j are parallel. Line k and line m intersect lines h and j. ID: CMC521_party.eps B Common EQ 23 The circle graph below shows information about the budget for a school party. k m School Party Budget 1 h Invitations 5% j Prizes 10% Decorations 15% Based on the angle measures in the diagram, what is m 1? A. 50 B. 60 C. 120 D. 130 Entertainment Food 40% The total budget for the party is \$1500. What is the total dollar amount in the budget for entertainment? A. \$300 B. \$450 C. \$500 D. \$

14 Mathematics Session 2 ID: CMH224_4_number_lines.eps A Common EQ 24 An inequality is shown below. 8 x 2 12 Which of the following graphs represents the solution of the inequality? A. B. C D

15 Mathematics Session 2 ID: CMC210_zeroslope.eps B Common EQ 25 Six points are plotted on the coordinate grid below. ID: A Common EQ 26 A pizza restaurant uses small pans and large pans. N J Q y K x Each pan is in the shape of a circle. The area of the large pan is 9 times the area of the small pan. The radius of the large pan is how many times the radius of the small pan? A. 3 B. 6 C. 9 P L D. 27 Which two points lie on a line with a slope closest to zero? A. N and J B. N and K C. P and L D. P and Q 257

16 Mathematics Session 2 ID: CMC505_used_cars.eps D Common EQ 27 The histogram below shows the relationship between the price of a used car and the number of used cars sold. Number Sold ,000 3,999 Used Cars Sold 4,000 5,999 6,000 7,999 8,000 9,999 10,000 11,999 Price (in dollars) Based on the histogram, which statement must be true? A. No used car sold for \$7,000. B. Exactly 5 of the used cars sold for \$4,000. C. The most expensive used car sold for \$11,999. D. Most of the used cars sold for less than \$6,000. ID: CMC327_flight.eps D Common EQ 28 The diagram below represents different connecting routes an airplane pilot can take to travel from one city to another. Pitman Trenton Centerville Wilton Middletown Jackson An airplane will fly from Middletown to Wilton. The pilot of the airplane wants to stop in no more than 2 cities between Middletown and Wilton. How many different ways can the pilot fly from Middletown to Wilton? A. 1 B. 2 C. 3 D

17 Mathematics Session 2 ID: CMH402_FGH.eps D Common EQ 29 Abby drew FGJ and FH, as shown in the diagram below. 8 in. F G H 10 in. The figure in the diagram has the following properties: J ID: s_10ma_s07MCAS.eps A Common EQ 30 Which of the following absolute-value inequalities best represents the graph shown on the number line below? A. B. C. D. Point H lies on GJ. The length of FG is 8 inches. The length of HJ is 10 inches. What is the area of the shaded triangle, FHJ? A. 80 sq. in. B. 64 sq. in. C. 48 sq. in. D. 40 sq. in. 259

19 Mathematics Session 2 Mark your answers to multiple-choice questions 32 through 40 in the spaces provided in your Student Answer Booklet. Do not write your answers in this test booklet. You may do your figuring in the test booklet. ID: C Common EQ 32 An athlete walked down 16 flights of stairs in 128 seconds. At this rate, what is the total number of seconds it will take the athlete to walk down 21 flights of stairs? A. 98 B. 133 C. 168 D. 336 ID: B Common EQ 33 Two angles of a triangle each measure 64. What is the measure of the third angle of the triangle? A. 32 B. 52 C. 58 D. 64 ID: B Common EQ 34 The table below shows the ticket costs for seats in different sections of a stadium. Ticket Costs for Stadium Seats Section Ticket Cost per Seat main \$75 lower deck \$59 upper deck \$42 bleacher \$22 What is the greatest number of bleacher seat tickets that can be bought for the cost of 12 lower deck seat tickets? A. 22 B. 32 C. 42 D

20 Mathematics Session 2 ID: D Common EQ 35 The amount of time it takes mail carriers to deliver the mail in one town is inversely proportional to the number of mail carriers delivering the mail. With 8 mail carriers, it takes 6 hours to deliver the town s mail. What is the number of hours it would take 4 mail carriers to deliver the town s mail? A. 2 B. 3 C. 10 D. 12 ID: CMC401_stage.eps B Common EQ 36 A stage floor is composed of a rectangle and an isosceles trapezoid. The diagram below shows the stage floor and some of its dimensions. 25 ft. 50 ft. 15 ft. 20 ft. What is the perimeter of the stage floor? A. 110 ft. B. 145 ft. C ft. D ft. 262

21 Mathematics Session 2 ID: B Common EQ 37 A model of a skyscraper is 15 inches tall. The model uses the scale shown below. Scale 0.5 inch : 12 yards Which of the following proportions can be used to find x, the height in yards of the actual skyscraper? A ẋ B x C. D x x ID: C Common EQ 38 The price per pound of each kind of vegetable sold at a farmers market is shown in the table below. Prices per Pound (\$) What is the mode of the prices per pound for the vegetables? A. \$0.95 B. \$1.25 C. \$1.49 D. \$

22 Mathematics Session 2 ID: C Common EQ 39 Ken and Jerome went to the same electronics store. Ken bought 2 video games and 1 DVD for a total of \$105. Jerome bought 1 video game and 4 DVDs for a total of \$105. Each video game cost v dollars and each DVD cost d dollars. Which system of equations can be used to find the cost, in dollars, of each video game and each DVD at the store? A. v 2d 105 v 4d 105 ID: CMC403_parallelogram.eps C Common EQ 40 The diagram below shows a parallelogram and its dimensions. 8 in. 6 in. 11 in. What is the area of the parallelogram? A. 38 sq. in. B. 48 sq. in. C. 66 sq. in. D. 88 sq. in. B. 2v d 105 4v d 105 C. 2v d 105 v 4d 105 D. 2v 4d 105 v d

25 Massachusetts Department of ELEMENTARY & SECONDARY Y Massachusetts Comprehensive Assessment System Grade 10 Mathematics Reference Sheet AREA FORMULAS square... A = s 2 rectangle... A = bh parallelogram... A = bh triangle... A = 1 2 bh trapezoid... A = 1 2 h(b 1 + b 2 ) circle... A = πr 2 VOLUME FORMULAS cube...v = s 3 (s = length of an edge) right rectangular prism...v = lwh OR V = Bh (B = area of a base) sphere...v = 4 3 πr3 right circular cylinder...v = πr 2 h LATERAL SURFACE AREA FORMULAS right rectangular prism... LA = 2(hw) + 2(lh) right circular cylinder... LA = 2πrh right circular cone... LA = πr ( = slant height) right square pyramid... LA = 2s ( = slant height) right circular cone...v = 1 3 πr2 h right square pyramid...v = 1 3 s2 h CIRCLE FORMULAS C = 2πr A = πr 2 TOTAL SURFACE AREA FORMULAS SPECIAL RIGHT TRIANGLES cube... SA = 6s 2 right rectangular prism... SA = 2(lw) + 2(hw) + 2(lh) x 45 x 2 sphere... SA = 4πr 2 right circular cylinder... SA = 2πr 2 + 2πrh 45 x right circular cone... SA = πr 2 +πr ( = slant height) right square pyramid... SA = s 2 + 2s ( = slant height) y 60 2y y

26 Grade 10 Mathematics Spring 2011 Released Items: Reporting Categories, Standards, and Correct Answers* Item No. Page No. Reporting Category Standard Correct Answer (MC/SA)* Geometry 10.G.7 D Measurement 10.M.1 C Data Analysis, Statistics, and Probability 10.D.2 A Data Analysis, Statistics, and Probability 10.D.1 D Patterns, Relations, and Algebra 10.P.2 C Number Sense and Operations 10.N.2 D Patterns, Relations, and Algebra 10.P.4 A Data Analysis, Statistics, and Probability 10.D.1 B Number Sense and Operations 10.N.4 D Patterns, Relations, and Algebra 10.P.1 B Number Sense and Operations 10.N.2 C Number Sense and Operations 10.N.3 C Data Analysis, Statistics, and Probability 10.D.1 B Number Sense and Operations 10.N.1 B Number Sense and Operations 10.N Measurement 10.M cm Number Sense and Operations 10.N Patterns, Relations, and Algebra 10.P Number Sense and Operations 10.N Geometry 10.G Patterns, Relations, and Algebra 10.P Geometry 10.G.3 C Data Analysis, Statistics, and Probability 10.D.1 B Patterns, Relations, and Algebra 10.P.6 A Patterns, Relations, and Algebra 10.P.2 B Measurement 10.M.3 A Data Analysis, Statistics, and Probability 10.D.1 D Geometry 10.G.11 D Measurement 10.M.1 D Patterns, Relations, and Algebra 10.P.6 A Patterns, Relations, and Algebra 10.P Number Sense and Operations 8.N.3 C Geometry 10.G.5 B Data Analysis, Statistics, and Probability 10.D.1 B Patterns, Relations, and Algebra 10.P.7 D Measurement 10.M.1 B Patterns, Relations, and Algebra 10.P.7 B Data Analysis, Statistics, and Probability 10.D.1 C Patterns, Relations, and Algebra 10.P.8 C Measurement 10.M.1 C Data Analysis, Statistics, and Probability 10.D Measurement 10.M.2 * Answers are provided here for multiple-choice items and short-answer items only. Sample responses and scoring guidelines for openresponse items, which are indicated by shaded cells, will be posted to the Department s website later this year. 268

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