CBEST Practice Test: Mathematics

Transcription

California Basic Educational Skills Test CBEST Practice TestMathematicsCopyright 2021 Pearson Education, Inc. or its affiliate(s). All rights reserved.Evaluation Systems, Pearson, 300 Venture Way, Hadley, MA 01035California Basic Educational Skills Test, CBEST, and the CBEST logo are trademarks, in the U.S. and/or other countries,of the Commission on Teacher Credentialing and Pearson Education, Inc. or its affiliate(s).Pearson and its logo are trademarks, in the U.S. and/or other countries, of Pearson Education, Inc. or its affiliate(s).

CBEST Practice Test: MathematicsTABLE OF CONTENTSIntroduction and Test Directions .1Mathematics Answer Sheet .2Multiple-Choice Questions.3Mathematics Skill Area Worksheet One .32Mathematics Skill Area Worksheet Two.33Mathematics Skill Area Worksheet Three.34Interpreting Your Results .35

CBEST Practice Test: MathematicsINTRODUCTIONThis document is a paper-based version of the CBEST Computer-Administered Practice Test for theMathematics section.This practice test contains a full-length sample test consisting of 50 multiple-choice questions, an answer sheet,and a skill area worksheet for each Mathematics skill area.TEST DIRECTIONSEach question in the Mathematics Section of the practice test is a multiple-choice question with five answerchoices. Read each question carefully and choose the ONE best answer. Record each answer on the answer sheetprovided.You may work on the multiple-choice questions in any order that you choose. You may wish to monitor howlong it takes you to complete the practice test. For information about the test session length, refer to the CBESTtest page.1

CBEST Practice Test: MathematicsMATHEMATICS ANSWER SHEETEstimation, Measurement,& Statistical PrinciplesQuestionNumberYourResponseComputation &Problem SolvingQuestionNumberYourResponseNumerical 284614294715304831493250332YourResponse

CBEST Practice Test: MathematicsMULTIPLE-CHOICE QUESTIONS1.2.During a semester, a student received scores of 76, 80, 83,71, 80, and 78 on six tests. What is the student's averagescore for these six tests?A.76B.77C.78D.79E.80Use the table below to answer the question that follows.Total Numberof QuestionsNumber of QuestionsCorrectly tionOn the three sections of a math test, a student correctlyanswered the number of questions shown in the tableabove. What percent of the questions on the entire testdid the student answer correctly?A.20%B.48%C.75%D.80%E.96%3

CBEST Practice Test: Mathematics3.Use the diagram below to answer the question thatfollows.123456UNITSIf the actual length of the bridge is 4200 feet, thenwhat is the scale of the diagram of the bridge?4.A.1 unit 700 feetB.1 unit 763.6 feetC.1 unit 840 feetD.1 unit 933.3 feetE.1 unit 1050 feetWhich of the following is the most appropriate unit forexpressing the weight of a pencil?A.poundsB.ouncesC.quartsD.pintsE.tons4

CBEST Practice Test: Mathematics6.Ms. Gutierrez needs to order rope for her gym class of32 students. Each student will receive a piece of ropethat is 5 feet 8 inches long. What is the total lengthof rope Ms. Gutierrez needs to order for her class?A.106 feet 8 inchesB.154 feet 8 inchesC.160 feet 8 inchesD.181 feet 4 inchesE.185 feet 6 inchesUse the diagram below to answer the question thatfollows.10Miles5.Clear Lake010Miles20What is the total length of Clear Lake's shoreline?A.22 milesB.44 milesC.48 milesD.56 milesE.84 miles5

CBEST Practice Test: Mathematics7.Use the diagram below to answer the question thatfollows.36 in.8 in.Pedestal48 in.Glass TabletopA glass tabletop is supported by a rectangular pedestal. If thetabletop is 8 inches wider than the pedestal on each side,what is the perimeter of the glass tabletop?8.A.92 inchesB.116 inchesC.176 inchesD.184 inchesE.232 inchesRob uses 1 box of cat food every 5 days to feed his cats.Approximately how many boxes of cat food does he useper month?A.2 boxesB.4 boxesC.5 boxesD.6 boxesE.7 boxes6

CBEST Practice Test: Mathematics9.10.Tara can develop 2 rolls of film in about 18 minutes.At this rate, how long will it take her to develop 8 rollsof film?A.42 minutesB.1 hour 12 minutesC.1 hour 20 minutesD.1 hour 44 minutesE.2 hours 24 minutesLiliana has a bag of marbles. The bag contains 18 black,15 red, 11 blue, and 8 white marbles. Liliana randomly takesa red marble from the bag and leaves the marble on a table.What is the probability that she will next take a red or a whitemarble from the bag?A.1122601B.217C.1126D.2251E.23527

CBEST Practice Test: Mathematics11.12.13.At a college, approximately 2 out of 5 seniors go on to attendgraduate school. If there are 750 seniors at the college, howmany would be expected to attend graduate school?A.75 seniorsB.107 seniorsC.150 seniorsD.214 seniorsE.300 seniorsThe Mills Library has 1,007,199 books. The Springvale Libraryhas 907,082 books. Which of the following is the bestestimate of how many more books the Mills Library has thanthe Springvale Library?A.100,000 booksB.80,000 booksC.10,000 booksD.8,000 booksE.1,000 booksWhich of the following is the best estimate for 4,286 ,0008

CBEST Practice Test: Mathematics14.15.The lowest point on Earth is the bottom of the Mariana Trenchat a depth of 35,840 feet below sea level. The highest pointon Earth is the summit of Mt. Everest at a height of 29,028 feetabove sea level. Which of the following is the best estimate ofthe distance between the lowest and highest points on Earth?A.6,000 feetB.7,000 feetC.64,000 feetD.65,000 feetE.66,000 feetKim is in the tenth grade and takes a standardized sciencetest. Use his test scores below to answer the question nt7288812.1Kim's test scores indicate that:A.he scored as well as or better than 72 of the test takers.B.28% of the test takers scored better than he did.C.he would perform adequately in a twelfth grade scienceclass.D.he scored as well as or better than 88% of the testtakers.E.he answered 72% of the questions correctly.9

CBEST Practice Test: Mathematics16.The expression–105 (–14) 34simplifies to which of the following?17.A.–57B.–75C.–85D.143E.153Use the information below to answer the question thatfollows.MondayTuesdayWednesdayThursdayFriday7 C12 C4 C– 13 C– 15 CAs part of a unit on weather, students recorded the outdoortemperature at 8:30 A.M. for five mornings. What was thedifference between the week's highest and lowest morningtemperatures?A.– 3 CB.– 1 CC.8 CD.22 CE.27 C10

CBEST Practice Test: Mathematics18.19.A teacher has three packages of stickers. One packagecontains 56 stickers, another package contains 48 stickers,and the third package contains 58 stickers. If the teacherdivides all the stickers equally among 27 students, how manystickers will each student receive?A.6 stickersB.9 stickersC.54 stickersD.81 stickersE.162 stickersWhat is the tens digit in the dividend of the problem below?5 Remainder 2325 18A.2B.3C.4D.5E.711

CBEST Practice Test: Mathematics20.3Last week Mario walked 7 4 miles. This week he walked515 6 miles. What is the difference between the distance hewalked this week and the distance he walked last week?21.A.8 milesB.8 12 milesC.8 3 milesD.9 milesE.9 12 miles111A sporting goods store is offering a 10% discount on in-lineskates that normally cost 110.99. How much will the in-lineskates cost with the discount, not including tax?A. 99.89B. 99.99C. 100.99D. 109.88E. 122.0912

CBEST Practice Test: Mathematics22.23.At the beginning of a class period, half of the students ina class go to the library. Later in the period, half of theremaining students go to the computer lab. If there are8 students remaining in the class, how many studentswere originally in the class?A.12 studentsB.16 studentsC.24 studentsD.32 studentsE.40 studentsPeter works 38 hours per week and earns 7.25 per hour.His employer gives him a raise that increases his weeklygross pay to 307.80. What is the increase in Peter's weeklygross pay?A. 32.30B. 34.70C. 42.46D. 275.50E. 300.5513

CBEST Practice Test: Mathematics24.Use the diagram below to answer the question thatfollows.15 in.5 in.10 in.Aguilar Manufacturing Company packages a product forshipping by wrapping tape around the package as shown inthe diagram. An additional 10% length of tape per packageis needed for overlap. What is the total length of tape neededper package?A.40 inchesB.55 inchesC.66 inchesD.77 inchesE.110 inches14

CBEST Practice Test: Mathematics25.Arturo is driving at a speed of 50 miles per hour. At 2:00 hesees the following sign.Applebee11 milesBeauville41 milesCaanan62 milesDenton98 milesArturo continues at the same speed. At 2:30 how far fromCaanan will he be?26.A.12 milesB.16 milesC.25 milesD.26 milesE.37 milesKeiko spent the day bird watching and counted 34 more birdsin the morning than in the afternoon. If she counted a total of76 birds, how many birds did she count in the afternoon?A.21 birdsB.40 birdsC.42 birdsD.84 birdsE.110 birds15

CBEST Practice Test: Mathematics27.Solve for y.y – 2 3y 1028.A.2B.3C.4D.5E.6Read the information below; then answer the questionthat follows.A refrigerator in a school cafeteria is partially filledwith 42 sandwiches. There are 13 turkey sandwiches,14 cheese sandwiches, and 15 egg salad sandwiches.By the end of the lunch period, 21 of the sandwicheshave been sold.Which of the following facts can be determined from theinformation given above?A.the number of cheese sandwiches soldB.the cost of a turkey sandwichC.the total number of sandwiches that can be placed in therefrigeratorD.the total dollar sales of sandwiches during the lunchperiodE.the number of sandwiches remaining in the refrigeratorafter the lunch period16

CBEST Practice Test: Mathematics29.Read the problem below; then answer the question thatfollows.Wei-Jen and Sue are going to drive cross country. Toreach their destination, they plan to drive about 400 mileseach day for 5 days. If gasoline costs an average of 2.00per gallon, approximately how much money should theybudget for gasoline on this trip?Which single piece of information is necessary to solve theproblem above?30.A.the number of times they will have to stop for gasolineB.the number of miles the car travels per gallon of gasolineC.the number of miles Wei-Jen will driveD.the total distance of their tripE.the number of miles the car travels per hourRead the problem below; then answer the question thatfollows.Maria left her home at 9:00 A.M., ran 3 miles to the lake,ran around the lake twice, and then ran home along thesame route for a total distance of 10 miles. What wasMaria's average jogging speed?Which single piece of additional information is required tosolve this problem?A.the distance around the lakeB.the time she returned homeC.the amount of time she stopped to restD.the average length of her jogging strideE.the amount of time it took her to run from the lake toher home17

CBEST Practice Test: Mathematics31.Antonio buys 4 notebooks for 3.50 each at a store.The next day he returns to the store and exchanges thenotebooks for 3 notebooks that have gone on sale for 1.75each. Antonio uses the following expression to calculate theamount of money he should receive back from the exchange.(4 3.50) – (3 1.75)Which of the following expressions could Antonio havealso used?32.A. 3.50 – 1.75B.3( 3.50 – 1.75) 3.50C.(4 3.50) – 1.75D.(4 3) – ( 3.50 1.75)E.12 – ( 3.50 1.75)Rudi needs to calculate 14% of 50. He does so by computingit in the following way:1450 100Which of the following methods could Rudi also use todetermine correctly the percentage?A.14(100 – 50)B.50 14C.1450 100D.(14 50)100E.50 0.1418

CBEST Practice Test: Mathematics33.Use the table below to answer the question that follows.Quiz AverageTest AverageFinal Exam83%79%88%The table shows Sabra's grades for a class. For her overallaverage, the test average counts twice as much as the quizaverage, and the final exam counts twice as much as the testaverage. To find her overall average, Sabra uses the followingexpression.(83 79 79 88 88 88 88) 7Which of the following is another way to find her overallaverage?2(79)74(88)7A.83 B.83 0.2(79) 0.4(88)C.[83 2(79) 4(88)] 0.7D.[83 2(79) 4(88)] 7E.[83 2(79) 4(88)] 7 1119

CBEST Practice Test: Mathematics34.Use the chart below to answer the question that follows.XY131.54.5262.533.5910.5The chart above displays a relationship between values of Xand Y. Given this relationship, what would be the value of Ythat is missing?35.A.5B.6.5C.7D.7.5E.8A school district is proposing a 5% increase in the numberof days in a school year. Currently there are 180 days ina school year. How long would a school year be with theproposed increase?A.181 daysB.183 daysC.185 daysD.189 daysE.270 days20

CBEST Practice Test: Mathematics36.37.Which of the following mathematical statements is correct?212221122212122A.33 33 23B.33 23 33C.33 23 33D.33 33 23E.33 33 23Use the mathematical statement below to answer thequestion that follows.266 8Which of the following values when entered in the box willsatisfy the statement above?A.14B.13C.12D.34E.91021

CBEST Practice Test: Mathematics38.Which of the following mathematical expressions is equivalentbhto 2 ?39.40.A.b h2 2B.2 (b h)C.b h2 2D.12 (bE.b 2h h)Which of the following numbers is between 2,329,500 329,333E.2,589,200If the value of x is between 0.0051 and 0.038, which of thefollowing could be x?A.0.0042B.0.0261C.0.049D.0.052E.0.0622

CBEST Practice Test: Mathematics41.42.Abby drives 18 miles round trip between home and work eachday. If her daily round trip is rounded to the nearest 5 miles,which of the following is the best estimate of the total numberof miles driven in 5 days?A.75 milesB.100 milesC.125 milesD.180 milesE.200 milesKerri ran the same distance in four different races. Hertimes were 18.04 seconds, 21.39 seconds, 12.99 seconds,and 14.14 seconds. If the individual times are rounded to thenearest one-tenth of a second, what is the estimate of Kerri'stotal time for all four races?A.66.6 secondsB.66.5 secondsC.66 secondsD.65.5 secondsE.61.56 seconds23

CBEST Practice Test: Mathematics43.Use the information below to answer the question thatfollows. The grocery store is located three miles away from thehouse. The house is located four miles away from the highway.Based on the information above, which of the followingconclusions can be made?A.The grocery store is no more than three miles away fromthe highway.B.The grocery store is no more than one mile away fromthe highway.C.The grocery store is no more than seven miles awayfrom the highway.D.The grocery store is exactly three miles from thehighway.E.The grocery store is exactly four miles from the highway.24

CBEST Practice Test: Mathematics44.Use the information below to answer the question thatfollows. If the distance to a destination is greater than 10 milesfrom home, then Matt will drive his car. If the distance to a destination is greater than 2 milesbut less than 10 miles from home, then Matt will ridehis bicycle. If the distance to a destination is less than 2 miles fromhome, then Matt will walk.If Matt rode his bicycle to Zachary's apartment, which of thefollowing statements could be true?A.Matt's home is less than 1 mile from Zachary'sapartment.B.Matt and Zachary live within 2 miles of each other.C.Zachary's apartment is about 7 miles from Matt's home.D.Zachary's apartment is at least 10 miles from Matt'shome.E.The round trip distance between Matt's and Zachary's isgreater than 20 miles.25

CBEST Practice Test: Mathematics45.Use the statements below to answer the question thatfollows.There will be softball practice every Saturday throughoutthe season with the following exceptions: If it rains, softball practice will be canceled. There is no softball practice on the third Saturday ofthe month.If it is Saturday but there is no softball practice, then it must betrue that:A.it is raining.B.it is the third Saturday of the month.C.it is raining and it is the third Saturday of the month.D.it is raining or it is the third Saturday of the month.E.softball games are on the third Saturday of the month.26

CBEST Practice Test: Mathematics46.Use the table below to answer the question that follows.Middle School Bell ScheduleClass PeriodStart TimeEnd TimeSecond8:40 A.M.9:36 A.M.Third9:40 A.M.10:36 A.M.Fourth10:40 A.M.11:36 A.M.Lunch11:40 A.M.12:15 P.M.Fifth1:15 P.M.The partial school schedule above shows the start times andend times of class periods. Except for lunch, all classes arethe same length. What is the missing start time for fifthperiod?A.12:15 P.M.B.12:19 P.M.C.12:30 P.M.D.12:36 P.M.E.12:40 P.M.27

CBEST Practice Test: Mathematics47.Use the chart below to answer the question that follows.U.S. and World Silver Production in Metric TonsYearUnited 388007How many metric tons of silver were produced outside theUnited States in 1950?A.4976 metric tonsB.5024 metric tonsC.5620 metric tonsD.5833 metric tonsE.6323 metric tons28

CBEST Practice Test: MathematicsUse the graph below to answer the question that follows.U.S. Energy Consumption(nuclear vs. hydroelectric)76Quadrillion oelectricAccording to the graph above, what was the maximumdifference in energy consumption between the two sourcesof energy in any one of the years shown?A.0.4 quadrillion BtuB.2.0 quadrillion BtuC.2.4 quadrillion BtuD.3.2 quadrillion BtuE.5.9 quadrillion Btu29

CBEST Practice Test: Mathematics49.Use the chart below to answer the question that follows.Percent of Total Corn Crop Yield in 1999West Farm24%EastFarm21%Central Farm?North Farm31%South Farm7%What percent of the total crop yield did the Central Farmgenerate in 1999?A.17%B.24%C.38%D.41%E.48%30

CBEST Practice Test: MathematicsUse the graph below to answer the question that follows.300Sales (thousands of 990The graph shows the sales of a commodity over a 60-yearperiod. Between what years did sales increase by the greatestamount?A.between 1940 and 1950B.between 1950 and 1960C.between 1960 and 1970D.between 1970 and 1980E.between 1980 and 199031

CBEST Practice Test: MathematicsMATHEMATICS SKILL AREA WORKSHEET ONEEstimation, Measurement, & Statistical PrinciplesUsing the Skill Area WorksheetSkill area worksheets are provided to assist you in evaluating your multiple-choice responses. Each worksheetcontains four columns. The first column indicates the multiple-choice question number and the second columnindicates the correct response. The third and fourth columns are for your use in calculating the number ofmultiple-choice questions you answered correctly. Transfer your answers from the answer sheet to the thirdcolumn of the skill area worksheet. In the fourth column, indicate which questions you answered correctly byplacing

On the three sections of a math test, a student correctly answered the number of questions shown in the table above. What percent of the questions on the entire test did the student answer correctly? A. 20% B. 48% C. 75% D. 80% E. 96%. CBEST Practice Test: Mathemati