MCAS Practice Test Mathematics Grade 10

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MASSACHUSETTS COMPREHENSIVE ASSESSMENT SYSTEMPRACTICE TESTMathematicsGrade 10Student NameSchool NameDistrict Name

Grade 10 MathematicsSESSION 1This session contains 13 questions.You may use your reference sheet during this session.You may not use a calculator during this session.DirectionsRead each question carefully and then answer it as well as you can. You must recordall answers in this Practice Test Booklet.For some questions, you will mark your answers by filling in the circles in yourPractice Test Booklet. Make sure you darken the circles completely. Do not make anymarks outside of the circles. If you need to change an answer, be sure to erase yourfirst answer completely.For other questions, you will need to fill in an answer grid. Directions for completingquestions with answer grids are provided on the next page.If a question asks you to show or explain your work, you must do so to receive fullcredit. Write your response in the space provided. Only responses written within theprovided space will be scored.2Go On

Mathematics Session 1Directions for Completing Questions with Answer Grids1.Work the question and find an answer.2.Enter your answer in the answer boxes at the top of the answer grid.3. Print only one number or symbol in each box. Do not leave a blank box inthe middle of an answer.4. Under each answer box, fill in the circle that matches the number orsymbol you wrote above. Make a solid mark that completely fills thecircle.5.Do not fill in a circle under an unused answer box.6. Fractions cannot be entered into an answer grid and will not be scored.Enter fractions as decimals.7. If you need to change an answer, be sure to erase your first answercompletely.8.See below for examples of how to correctly complete an answer grid.EXAMPLES– 1 4\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\–4 8 3 1 6–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \65 . 3–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \39 . 5 5 5 5–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\Go On

Mathematics MA268502qSession 1BAlbert drew the line represented by this equation on a coordinate plane.12y x 5On the same coordinate plane, Penny drew a line that is perpendicular toAlbert’s line and passes through the point ( 4, 3). Which of the followingequations represents Penny’s line?Ay 2x 5By 2x 11Cy 2x 5Dy 2x 11MA713582646 PAwB,D,FA student determined an equation for the line of best fit for each of three sets ofdata. She then calculated the correlation coefficient for each linear fit. The list ofher results is shown. 0.91, 0.39, 0.87Which of the following statements about the relationships described by thecorrelation coefficients are true?Select the three true statements.AThe correlation coefficient of 0.91 describes no relationship.BThe correlation coefficient of 0.91 describes a strong relationship.CThe correlation coefficient of 0.39 describes no relationship.DThe correlation coefficient of 0.39 describes a weak relationship.EThe correlation coefficient of 0.87 describes a weak relationship.FThe correlation coefficient of 0.87 describes a strong relationship.4Go On

Mathematics Session 1MA713582342eConsider this polygon.What is the sum, in degrees, of the measures of the interior angles of thepolygon?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\5Go On

Mathematics Session 1This question has four parts. Write your response in the answer space provided.MA713460450rConsider this inequality.y 2x 1A. On the coordinate plane provided in your answer space, graph the solution setof the inequality.B. Write an ordered pair that is a solution of the inequality from Part A. Show orexplain how you got your answer.Consider this system of inequalities.x y 2x y 4C. On the coordinate plane provided in your answer space, graph the solutionset of the system of inequalities.D. Write an ordered pair that is a solution of both the inequality from Part A andthe system of inequalities from Part C. Show or explain how you got youranswer.6Go On

Mathematics rA.Session 1y87654321-8 -7 -6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6-7-81 2 3 4 5 6 7 8xB.C.y87654321-8 -7 -6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6-7-81 2 3 4 5 6 7 8xD.7Go On

Mathematics MA713345644 PAtSession 1DThis equation represents the ideal gas law, where T is the temperature.PV nRTWhich equation has been correctly rearranged to solve for T ?AT nR PVBT PV nRCT nRDT PVPVMA805371878 PAynRATriangle ABC is shown on this coordinate plane.y654321-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6A1 2 3 4 5 6xCBTriangle ABC will be reflected across the x-axis and then translated 3 units upto create its image, triangle A′B′C′. Which of the following shows the correctlocation of triangle A′B′C′ on the coordinate plane?8Go On

Mathematics Session 1yA654321-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6B'A'C'A1 2 3 4 5 6A'654321-6 -5 -4 -3 -2 -1 0B' -1-2-3-4-5-6654321C'x-6 -5 -4 -3 -2 -1 0B' -1-2-3-4-5-6CByCyB654321C'1 2 3 4 5 6xCBA1 2 3 4 5 6xCByDAA'-6 -5 -4 -3 -2 -1 0-1-2-3-4C'-5-6A1 2 3 4 5 6A'BxCB'9Go On

Mathematics Session 1This question has two parts.MA713764025 PAuXPart AWhich of the following expressions has a value that is rational?AB39246 2CD – 2Part BConsider this expression.1.8 1.8Which of the following statements about the expression is true?AThe expression is rational because one of the terms is rational.BThe expression is irrational because one of the terms is irrational.CThe expression is rational because both of the terms are rational.DThe expression is irrational because both of the terms are irrational.10Go On

Mathematics MA713332969 PACA student went on a two-day hike. On day one, the student hiked 11 kilometers. On day two, the student hiked at a rate of 2 kilometers per hour for x hours.Which of the following graphs represents y, the total distance, in kilometers, thestudent hiked over both days after hiking for x hours on day two?Two-Day Hike0x1 2 3 4 5 6 7 8 9Hours Hiked on Day TwoTwo-Day HikeC0y181614121086420x1 2 3 4 5 6 7 8 9Hours Hiked on Day TwoTwo-Day HikeDy18161412108642Total Distance Hiked overBoth Days (kilometers)18161412108642Two-Day HikeByx1 2 3 4 5 6 7 8 9Hours Hiked on Day Two11Total Distance Hiked overBoth Days (kilometers)Total Distance Hiked overBoth Days (kilometers)ATotal Distance Hiked overBoth Days (kilometers)iSession 1y181614121086420x1 2 3 4 5 6 7 8 9Hours Hiked on Day TwoGo On

Mathematics MA717737157 PAoSession 1A,E,FConsider this expression.3tWhich of the following are equivalent to the expression for all positive values of t?Select the three equivalent expressions.A t13B t23C t321Dt32t3Et31t3Ft3t2412Go On

Mathematics Session 1MA268505aTriangle GRV is inscribed in a circle, as shown.G20 RV ?In the triangle, GR GV . What is the measure, in degrees, of GREnter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \\\ \ \ \000 \0 \0 \0 \0 \\\1 \11 \1 \1 \1 \1 \\222 \2 \2 \2 \2 \\\333 \3 \3 \3 \3 \\\444 \4 \4 \4 \4 \\\555 \5 \5 \5 \5 \\\666 \6 \6 \6 \6 \\\777 \7 \7 \7 \7 \\\888 \8 \8 \8 \8 \\\999 \9 \9 \9 \9 \\\13Go On

Mathematics Session 1This question has four parts. Be sure to label each part of your response.MA713374695sThe function f (x) is graphed on this coordinate plane.y98f(x)7654321-9 -8 -7 -6 -5 -4 -3 -2 -1 0-1-2-3-4-5-61 2 3 4 5 6 7 8 9x-7-8-9A. Based on the graph, what is the value of f (4)?B. If the value of f (4) k is 5, what is the value of k ? Show or explain howyou got your answer.C. Explain the difference between the graph of f (x) 3 and the graph off (x 3).D. On the coordinate plane provided in your answer space, use the graph of f (x)to graph f (x 2) 1.14Go On

Mathematics Session 1sy4321-5 -4 -3 -2 -1 0-112345x-2-3-415Go On

Mathematics MA823346651 PADA guidance counselor will meet with twelve students to discuss their grade pointaverages. The list of grade point averages is shown.3.4, 2.2, 1.9, 3.8, 2.7, 3.1, 3.6, 1.8, 3.3, 2.4, 3.5, 2.9Which of the following histograms correctly shows the distribution of the students’grade point averages?Grade Point Averagesof Students1098765432100–11–22–33–4Grade Point AverageNumber of Students0–11–22–33–4Grade Point Average109876543210160–11–22–33–4Grade Point AverageGrade Point Averagesof StudentsD109876543210109876543210Grade Point Averagesof StudentsCGrade Point Averagesof StudentsBNumber of StudentsNumber of StudentsANumber of StudentsdSession 10–11–22–33–4Grade Point AverageGo On

Mathematics MA314982fSession 1BTen years ago, the population of a town was 5,085 people. Since then, thepopulation of the town has increased by a total of 19.51%.Which of the following is closest to the current population of the town?A5,500B6,000C6,600D7,20017

Grade 10 MathematicsSESSION 2This session contains 13 questions.You may use your reference sheet during this session.You may use a calculator during this session.DirectionsRead each question carefully and then answer it as well as you can. You must recordall answers in this Practice Test Booklet.For some questions, you will mark your answers by filling in the circles in yourPractice Test Booklet. Make sure you darken the circles completely. Do not make anymarks outside of the circles. If you need to change an answer, be sure to erase yourfirst answer completely.For other questions, you will need to fill in an answer grid. Directions for completingquestions with answer grids are provided on the next page.If a question asks you to show or explain your work, you must do so to receive fullcredit. Write your response in the space provided. Only responses written within theprovided space will be scored.18Go On

Mathematics Session 2Directions for Completing Questions with Answer Grids1.Work the question and find an answer.2.Enter your answer in the answer boxes at the top of the answer grid.3. Print only one number or symbol in each box. Do not leave a blank box inthe middle of an answer.4. Under each answer box, fill in the circle that matches the number orsymbol you wrote above. Make a solid mark that completely fills thecircle.5.Do not fill in a circle under an unused answer box.6. Fractions cannot be entered into an answer grid and will not be scored.Enter fractions as decimals.7. If you need to change an answer, be sure to erase your first answercompletely.8.See below for examples of how to correctly complete an answer grid.EXAMPLES– 1 4–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\65 . 34 8 3 1 6\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\–199 . 5 5 5 5–\ \ \ \\ \ \ \0000000\\\\\\\1 \11 \1 \1 \1 \1 \\222222\\\\\\\ 23 \33 \3 \3 \3 \3 \\444444\\\\\\\ 45 \55 \5 \5 \5 \5 \\666666\\\\\\\ 67 \77 \7 \7 \7 \7 \\8888888\\\\\\ \999999\\\\\\\ 9Go On

Mathematics MA735775657gSession 2AThe number of loaves of bread remaining in a restaurant h hours after opening forthe day can be modeled by this function.L(h) 42 3.5hWhat is the domain of the function?A0 h 12B0 h 38.5C0 h 42D0 h 45.5MA804163432hE, B, AA series of transformations will be performed on a figure that is graphed on acoordinate plane. Which of the following series of transformations would producea congruent figure?Select the three correct answers.Aa translation 1 unit up followed by a reflection across the y-axisBa reflection across the x-axis followed by a rotation of 90 degreesCa dilation by a scale factor of 2 followed by a translation 5 units leftDa dilation by a scale factor of 1 followed by a reflection across the y-axisEa dilation by a scale factor of 2 followed by a dilation by a scale factor of 2220Go On

Mathematics MA717057761jSession 2BA carpenter measured the dimensions of the floor in a rectangular room. Herounded the measurements to the nearest foot and recorded them as shown.width 9 feetlength 15 feetBased on the rounded measurements, which of the following statements couldbe true?AThe actual width of the floor is 8 feet 4 inches.BThe actual length of the floor is 15 feet 5 inches.CThe actual area of the floor is 149.5 square feet.DThe actual perimeter of the floor is 44 feet 10 inches.21Go On

Mathematics Session 2This question has four parts. Be sure to label each part of your response.MA713808236kA coach recorded the number of goals scored by a soccer team in each of its lastten games. The data are shown.3, 2, 10, 2, 1, 5, 3, 2, 1, 5A. 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 explain how you gotyour answer.C. The value 10 in the data is an outlier. Explain how this outlier affects thedistribution of the data.D. If the value 10 in the data is replaced by the mode, by how much will themean change? Show or explain how you got your answer.22Go On

Mathematics Session 2k23Go On

Mathematics Session 2MA713582409lSimilar triangles RST and UVW are shown in this diagram.VUR6.59.75cmcm6 cmTW5 cmSBased on the dimensions in the diagram, what is the length, in centimeters,of VW ?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\24Go On

Mathematics MA299952;Session 2DConsider this function.f (x) x 2 1Which of the following expressions is equivalent to f (m 2)?Am2 3Bm2 5Cm2 4m 4Dm2 4m 525Go On

Mathematics Session 2This question has two parts.MA801428826 PA X, C2)A circle is graphed on this coordinate plane.1 unity1 unit21-5 -4 -3 -2 -1 0-1-2-3-4(–1, –5) -5-6-7-8-91 2 3 4 5 6 7 8 9 10x(7, –5)Part AWhat is the radius, in units, of the circle?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \26Go On

Mathematics Session 2Part BWhich of the following equations represents the circle?A(x 3)2 (y 5)2 4B(x 3)2 (y 5)2 8C(x 3)2 (y 5)2 16D(x 3)2 (y 5)2 64MA7174516552!CThe number of customers doing business with a landscaping company each week,over t weeks since the beginning of last summer, can be modeled by this function.f (t) 21 4tBased on the function, which of the following statements is true?AThe number of customers increased by 21 per week.BThe number of customers decreased by a factor of 4.CThe company began last summer with 21 customers.DThe company had a total of 21 customers after 4 weeks.27Go On

Mathematics MA713582369 PA2@Session 2DA student plotted EF on a coordinate plane. The coordinates of the endpoints areshown. E ( 2, 1) F (1, 2)The student will dilate EF by a scale factor of 2 with respect to point F to createKL . Which of the following graphs correctly shows KL ?yAyB654321K-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6K1 2 3 4 5 6xKK1 2 3 4 5 6xL281 2 3 4 5 6xLyD654321-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6LyC654321654321-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-61 2 3 4 5 6xLGo On

Mathematics MA713582764 PA2#Session 2BConsider these probabilities of events X and Y. P(X) 0.4 P(Y) 0.6 P(X and Y) 0.24 P(X or Y) 0.76Which of the following statements about events X and Y is true?AEvents X and Y are dependent events because the equation0.4 0.6 1 is true.BEvents X and Y are independent events because the equation(0.4)(0.6) 0.24 is true.CEvents X and Y are dependent events because the equationP(X or Y) P(X and Y) is not true.DEvents X and Y are independent events because the equationP(X and Y) P(X) P(Y) is not true.29Go On

Mathematics Session 2This question has four parts. Be sure to label each part of your response.MA7138081682 Consider right triangle EFG.FGEA. What is sin(θ) in terms of the sides of triangle EFG? Write your response inthe answer space provided.AEFEGBFGEGCEGFGDFGEFB. Explain the relationship between sin(θ) and cos( G).C. If sin(30 ) 1 and cos(θ) 1 , what is the value of θ, in degrees? Show or22explain how you got your answer.D. Consider this incomplete equation.cos( G) cos()Complete the equation so that it represents cos( G) in terms of θ.30Go On

Mathematics Session 22 31Go On

Mathematics MA823342349 PA2%Session 2CConsider this inequality. 4 2x 6Which of the following number lines shows the solution set of the inequality?ABCD–6 –5 –4 –3 –2 –1 0123456–6 –5 –4 –3 –2 –1 0123456–6 –5 –4 –3 –2 –1 0123456–6 –5 –4 –3 –2 –1 012345632Go On

Mathematics MA8010001422 Session 2ARight circular cylinder S, oblique circular cylinder T, and some of their dimensionsare shown in this diagram.3 cm7 cm7 cm3 cmCylinder SCylinder TWhich statement about the cylinders is true?AThe volume of cylinder S is equal to the volume of cylinder T.BThe volume of cylinder S is less than the volume of cylinder T.CThe volume of cylinder S is greater than the volume of cylinder T.DThere is not enough information to compare the volumes of the cylinders.33

Mathematics PRACTICE TEST. Grade 10. Student Name School Name District Name. MASSACHUSETTS COMPREHENSIVE ASSESSMENT SYSTEM. 2 Grade 10 Mathematics SESSION 1. This session contains 13 questions. You may use your reference sheet during this session. . 361 3 9. 5 3 Mathematics Session 1

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