MASSACHUSETTS COMPREHENSIVE ASSESSMENT SYSTEM

Transcription

1 MASSACHUSETTS COMPREHENSIVE ASSESSMENT SYSTEM PRACTICE TEST Mathematics Grade Student Name School Name District Name

2 Grade Mathematics SESSION This session contains questions. You ma use our reference sheet during this session. You ma not use a calculator during this session. Directions Read each question carefull and then answer it as well as ou can. You must record all answers in this Practice Test Booklet. For some questions, ou will mark our answers b filling in the circles in our Practice Test Booklet. Make sure ou darken the circles completel. Do not make an marks outside of the circles. If ou need to change an answer, be sure to erase our first answer completel. For other questions, ou will need to fill in an answer grid. Directions for completing questions with answer grids are provided on the net page. If a question asks ou to show or eplain our work, ou must do so to receive full credit. Write our response in the space provided. Onl responses written within the provided space will be scored. Go On

3 Directions for Completing Questions with Answer Grids. Work the question and find an answer.. Enter our answer in the answer boes at the top of the answer grid.. Print onl one number or smbol in each bo. Do not leave a blank bo in the middle of an answer.. Under each answer bo, fill in the circle that matches the number or smbol ou wrote above. Make a solid mark that completel fills the circle.. Do not fill in a circle under an unused answer bo.. Fractions cannot be entered into an answer grid and will not be scored. Enter fractions as decimals.. If ou need to change an answer, be sure to erase our first answer completel.. See below for eamples of how to correctl complete an answer grid. EXAMPLES.. Mathematics Session Go On

4 Mathematics Session MA q B Albert drew the line represented b this equation on a coordinate plane. = + On the same coordinate plane, Penn drew a line that is perpendicular to Albert s line and passes through the point (, ). Which of the following equations represents Penn s line? A = + B = + C = D = MA_PA w B,D,F A student determined an equation for the line of best fit for each of three sets of data. She then calculated the correlation coefficient for each linear fit. The list of her results is shown..,.,. Which of the following statements about the relationships described b the correlation coefficients are true? Select the three true statements. A The correlation coefficient of. describes no relationship. B The correlation coefficient of. describes a strong relationship. C The correlation coefficient of. describes no relationship. D The correlation coefficient of. describes a weak relationship. E The correlation coefficient of. describes a weak relationship. F The correlation coefficient of. describes a strong relationship. Go On

5 MA e Consider this polgon. What is the sum, in degrees, of the measures of the interior angles of the polgon? Enter our answer in the answer boes at the top of the answer grid and completel fill the matching circles. Mathematics Session Go On

6 Mathematics Session This question has four parts. Write our response in the answer space provided. MA r Consider this inequalit. A. On the coordinate plane provided in our answer space, graph the solution set of the inequalit. B. Write an ordered pair that is a solution of the inequalit from Part A. Show or eplain how ou got our answer. Consider this sstem of inequalities. + > < C. On the coordinate plane provided in our answer space, graph the solution set of the sstem of inequalities. D. Write an ordered pair that is a solution of both the inequalit from Part A and the sstem of inequalities from Part C. Show or eplain how ou got our answer. Go On

7 Mathematics Session r A B. C D. Go On

8 Mathematics Session MA_PA t D This equation represents the ideal gas law, where T is the temperature. PV = nrt Which equation has been correctl rearranged to solve for T? A T = nr PV B T = PV nr C T = nr PV D T = PV nr MA_PA A Triangle ABC is shown on this coordinate plane. A C - - B Triangle ABC will be reflected across the -ais and then translated units up to create its image, triangle A B C. Which of the following shows the correct location of triangle A B C on the coordinate plane? Go On

9 Mathematics Session A A' A B' C' C - - B - B C' A' A B' - C - - B C D A' C' A B' - C - - B A C - A' - B C' B' Go On

10 Mathematics Session This question has two parts. MA_PA X u Part A Which of the following epressions has a value that is rational? A B C D + Part B Consider this epression.. +. Which of the following statements about the epression is true? A The epression is rational because one of the terms is rational. B The epression is irrational because one of the terms is irrational. C The epression is rational because both of the terms are rational. D The epression is irrational because both of the terms are irrational. Go On

11 Mathematics Session MA_PA i C A student went on a two-da hike. On da one, the student hiked kilometers. On da two, the student hiked at a rate of kilometers per hour for hours. Which of the following graphs represents, the total distance, in kilometers, the student hiked over both das after hiking for hours on da two? A Total Distance Hiked over Both Das (kilometers) Two-Da Hike Hours Hiked on Da Two B Total Distance Hiked over Both Das (kilometers) Two-Da Hike Hours Hiked on Da Two C Total Distance Hiked over Both Das (kilometers) Two-Da Hike Hours Hiked on Da Two D Total Distance Hiked over Both Das (kilometers) Two-Da Hike Hours Hiked on Da Two Go On

12 Mathematics Session MA_PA o A,E,F Consider this epression. t Which of the following are equivalent to the epression for all positive values of t? Select the three equivalent epressions. A t B t C t D E F t t t t t t Go On

13 a Triangle GRV is inscribed in a circle, as shown. G R V In the triangle, GR GV. What is the measure, in degrees, of GR? Enter our answer in the answer boes at the top of the answer grid and completel fill the matching circles. Mathematics Session Go On MA

14 Mathematics Session This question has four parts. Be sure to label each part of our response. MA s The function f () is graphed on this coordinate plane f() A. Based on the graph, what is the value of f ()? B. If the value of f () + k is, what is the value of k? Show or eplain how ou got our answer. C. Eplain the difference between the graph of f () + and the graph of f ( + ). D. On the coordinate plane provided in our answer space, use the graph of f () to graph f ( + ) +. Go On

15 Mathematics Session s Go On

16 Mathematics Session MA_PA d D A guidance counselor will meet with twelve students to discuss their grade point averages. The list of grade point averages is shown..,.,.,.,.,.,.,.,.,.,.,. Which of the following histograms correctl shows the distribution of the students grade point averages? A Number of Students Grade Point Averages of Students B Number of Students Grade Point Averages of Students Grade Point Average Grade Point Average C Number of Students Grade Point Averages of Students D Number of Students Grade Point Averages of Students Grade Point Average Grade Point Average Go On

17 Mathematics Session MA f B Ten ears ago, the population of a town was, people. Since then, the population of the town has increased b a total of.%. Which of the following is closest to the current population of the town? A, B, C, D,

18 Grade Mathematics SESSION This session contains questions. You ma use our reference sheet during this session. You ma use a calculator during this session. Directions Read each question carefull and then answer it as well as ou can. You must record all answers in this Practice Test Booklet. For some questions, ou will mark our answers b filling in the circles in our Practice Test Booklet. Make sure ou darken the circles completel. Do not make an marks outside of the circles. If ou need to change an answer, be sure to erase our first answer completel. For other questions, ou will need to fill in an answer grid. Directions for completing questions with answer grids are provided on the net page. If a question asks ou to show or eplain our work, ou must do so to receive full credit. Write our response in the space provided. Onl responses written within the provided space will be scored. Go On

19 Go On Directions for Completing Questions with Answer Grids. Work the question and find an answer.. Enter our answer in the answer boes at the top of the answer grid.. Print onl one number or smbol in each bo. Do not leave a blank bo in the middle of an answer.. Under each answer bo, fill in the circle that matches the number or smbol ou wrote above. Make a solid mark that completel fills the circle.. Do not fill in a circle under an unused answer bo.. Fractions cannot be entered into an answer grid and will not be scored. Enter fractions as decimals.. If ou need to change an answer, be sure to erase our first answer completel.. See below for eamples of how to correctl complete an answer grid. EXAMPLES.. Mathematics Session

20 Mathematics Session MA g A The number of loaves of bread remaining in a restaurant h hours after opening for the da can be modeled b this function. What is the domain of the function? A h B h. C h D h. L(h) =.h MA h E, B, A A series of transformations will be performed on a figure that is graphed on a coordinate plane. Which of the following series of transformations would produce a congruent figure? Select the three correct answers. A a translation unit up followed b a reflection across the -ais B a reflection across the -ais followed b a rotation of degrees C a dilation b a scale factor of followed b a translation units left D a dilation b a scale factor of followed b a reflection across the -ais E a dilation b a scale factor of followed b a dilation b a scale factor of Go On

21 Mathematics Session MA j B A carpenter measured the dimensions of the floor in a rectangular room. He rounded the measurements to the nearest foot and recorded them as shown. width = feet length = feet Based on the rounded measurements, which of the following statements could be true? A The actual width of the floor is feet inches. B The actual length of the floor is feet inches. C The actual area of the floor is. square feet. D The actual perimeter of the floor is feet inches. Go On

22 Mathematics Session This question has four parts. Be sure to label each part of our response. MA k A coach recorded the number of goals scored b a soccer team in each of its last ten games. The data are shown.,,,,,,,,, A. What are the first quartile, the median, and the third quartile of the data? Be sure to label each one. B. What is the interquartile range of the data? Show or eplain how ou got our answer. C. The value in the data is an outlier. Eplain how this outlier affects the distribution of the data. D. If the value in the data is replaced b the mode, b how much will the mean change? Show or eplain how ou got our answer. Go On

23 Mathematics Session k Go On

24 MA l Similar triangles RST and UVW are shown in this diagram. U W V. cm R S T. cm cm cm Based on the dimensions in the diagram, what is the length, in centimeters, of VW? Enter our answer in the answer boes at the top of the answer grid and completel fill the matching circles. Go On Mathematics Session

25 Mathematics Session MA D ; Consider this function. f () = + Which of the following epressions is equivalent to f (m + )? A m + B m + C m + m + D m + m + Go On

26 This question has two parts. MA_PA X, C ) A circle is graphed on this coordinate plane unit unit (, ) (, ) Part A What is the radius, in units, of the circle? Enter our answer in the answer boes at the top of the answer grid and completel fill the matching circles. Go On Mathematics Session

27 Mathematics Session Part B Which of the following equations represents the circle? A ( + ) + ( ) = B ( + ) + ( ) = C ( ) + ( + ) = D ( ) + ( + ) = MA C! The number of customers doing business with a landscaping compan each week, over t weeks since the beginning of last summer, can be modeled b this function. f (t) = + t Based on the function, which of the following statements is true? A The number of customers increased b per week. B The number of customers decreased b a factor of. C The compan began last summer with customers. D The compan had a total of customers after weeks. Go On

28 Mathematics Session MA_PA A student plotted EF on a coordinate plane. The coordinates of the endpoints are shown. E (, ) F (, ) The student will dilate EF b a scale factor of with respect to point F to create KL. Which of the following graphs correctl shows KL? A B K K L L C D K L - K L Go On

29 Mathematics Session MA_PA B # Consider these probabilities of events X and Y. P(X) =. P(Y) =. P(X and Y) =. P(X or Y) =. Which of the following statements about events X and Y is true? A Events X and Y are dependent events because the equation. +. = is true. B Events X and Y are independent events because the equation (.)(.) =. is true. C Events X and Y are dependent events because the equation P(X or Y) = P(X and Y) is not true. D Events X and Y are independent events because the equation P(X and Y) = P(X) + P(Y) is not true. Go On

30 Mathematics Session This question has four parts. Be sure to label each part of our response. MA $ Consider right triangle EFG. F G E A. What is sin(θ) in terms of the sides of triangle EFG? Write our response in the answer space provided. A EF EG B FG EG C EG FG D FG EF B. Eplain the relationship between sin(θ) and cos( G). C. If sin( ) = and cos(θ) =, what is the value of θ, in degrees? Show or eplain how ou got our answer. D. Consider this incomplete equation. cos( G) = cos( ) Complete the equation so that it represents cos( G) in terms of θ. Go On

31 Mathematics Session $ Go On

32 Mathematics Session MA_PA C % Consider this inequalit. > Which of the following number lines shows the solution set of the inequalit? A B C D Go On

33 Mathematics Session MA ^ A Right circular clinder S, oblique circular clinder T, and some of their dimensions are shown in this diagram. cm cm cm cm Clinder S Clinder T Which statement about the clinders is true? A The volume of clinder S is equal to the volume of clinder T. B The volume of clinder S is less than the volume of clinder T. C The volume of clinder S is greater than the volume of clinder T. D There is not enough information to compare the volumes of the clinders.

34