Transcription
FP1HiSET MathematicsTMPractice Test
Copyright 2013 Educational Testing Service. All rights reserved. ETS and the ETS logo are registeredtrademarks of Educational Testing Service (E T S) in the United States and other countries. HiSET isa trademark of E T S. Test items from THE IOWA TESTS OF EDUCATIONAL DEVELOPMENT copyright 2001, 2003, 2007 by The University of Iowa. All rights reserved. Used under license fromHoughton Mifflin Harcourt. THE IOWA TESTS is a registered trademark of Houghton Mifflin HarcourtPublishing Company.
DirectionsThis is a test of your skills in applying mathematical concepts and solving mathematicalproblems. Read each question carefully and decide which of the five alternatives bestanswers the question. Then mark your choice on your answer sheet.There are relatively easy problems scattered throughout the test. Thus, do not waste timeon problems that are too difficult; go on, and return to them if you have time.Work as quickly as you can without becoming careless. Don’t spend too much time onany question that is difficult for you to answer. Instead, skip it and return to it later if youhave time. Try to answer every question even if you have to guess.Mark all your answers on the answer sheet. Give only one answer to each question andmake every mark heavy and dark, as in this example.If you decide to change one of your answers, be sure to erase the first mark completely.Be sure that the number of the question you are answering matches the number of the rowof answer choices you are marking on your answer sheet.-3-
MathematicsTime — 60 minutes32 QuestionsGO ON TO THE NEXT PAGE-4-
14A used motorcycle can be purchased for 500 cash or on credit with a 200 downpayment plus payments of 70 per monthfor 5 months. How much would be savedby paying cash?The following graph shows the salesfigures for a toy company since itopened 10 years ago.Toy Sales0.9Dollars in MillionsA 50B 150C 200D 350E 5500.80.70.60.52A solution of salt water is made bydissolving 2 grams of salt in 1 liter ofwater. Which of the following would yielda solution with the same concentration?1145 6Year781C Dissolving 1 gram of salt in liter2of water5D Dissolving 1 gram of salt in 2 litersof water10Consider the graphs below.1yE Dissolving 2 grams of salt in liter2of waterUTAn appliance store uses the followingformula to set its selling prices.SITED A Q 102 toy salesPrice (actual cost) (25 percent of actual cost)9A 75,000,000B 7,500,000C 750,000D 75,000E 7,5001B Dissolving gram of salt in liter2of water 233According to the graph, what was theapproximate dollar value of sales inthe company’s 9th year of business?A Dissolving gram of salt in 2 litersof water 212RQIf the actual cost of a refrigeratoris 800, what price will the store setfor the refrigerator?xAlthough the numbers are not includedon either axis, it is possible to determinefrom shape and location that the equationy 1.2 x 4 corresponds to graphA 200B 600C 800D 1,000E 1,400ABCDEQ.R.S.T.U.GO ON TO THE NEXT PAGE-5-
Directions: Questions 6 through 11 are based on the information below.A city is going to build a new swimming pool at the recreation center. The illustration below shows the plans forthe pool.70 m30 m20 m50 mTile68Assuming that the pool is 10 feet deep,approximately how many cubic metersof water will this pool hold when filled?( 3.3 feet 1 meter )A 1,000B 3,000C 10,000D 30,000E 100,0007ABCDEIf one box of tiles covers 10 squaremeters, which of the followingrepresents the number of boxesrequired to cover the designatedarea around the pool with tile?ABCDEThe Recreation Department wantsto put in swim lanes along the lengthof the pool. If each swim lane mustbe 8 feet wide, which of the followingrepresents the best estimate for thenumber of swim lanes there can be inthe pool ( 3.3 feet 1 meter )?9To maintain water purity, each week1(70 30) 1070 30 10(50 20) 1020 8(20 3.3) 820 (3.3 8)50 (8 3.3)(50 3.3) 812kilograms of a certain chemicalshould be added for each million litersof water. If the pool contains[(70 30) (50 20)] 10[(70 30) (50 20)] 102.5 million liters of water, how manykilograms of the chemical should beadded each week?ABCDE1.52.252.53.03.75GO ON TO THE NEXT PAGE-6-
10ABCDE1112It is estimated that construction ofthis pool area will cost 75,000. A largecorporation donated 35,000 towardthe construction of the pool, and anadditional 2,000 was earned duringa local fund-raising activity. If 20 localbusinesses agree to donate the restof the money, which of the followingrepresents the average amount eachbusiness will have to contribute?r dtIf rate remains constant, which of thefollowing must be true?ABCDE 75, 000 37, 000( 75, 000 2, 000) 2020 ( 75, 000 37, 000) 75, 000 20( 75, 000 37, 000) 2013A larger diagram of the proposedswimming pool area will be presentedto the city council. If each inch onthat diagram represents 5 meters ofactual distance, what are the overalldimensions of the pool area (includingthe tile area) in the diagram?ABCDEThe relationship between rate ofspeed (r), distance traveled (d), and timetraveled (t) is given by the followingequation.Consider the equation 2 x 3 4.To solve the equation for x, what wouldbe the most logical first step?ABCDE4 inches by 2 inches10 inches by 4 inches14 inches by 6 inches250 inches by 100 inches350 inches by 150 inches14When t remains constant, d increases.When t decreases, d remains constant.When t decreases, d increases.When t increases, d decreases.When t decreases, d decreases.Add 3 to both sides of the equation.Subtract 3 from both sides of the equation.Divide both sides of the equation by 2.Multiply both sides of the equation by 2.Subtract 4 from both sides of the equation.A tank for mixing chemical solutions is1.5 meters long, 0.6 meters wide, and1.5 meters deep. Which of the followingrepresents the maximum number ofcubic meters of solution this tankwill hold?A (1.5 0.6) 1.5B (1.5 1.5) 0.6C 1.5 0.6 1.51.5 1.5D0.6E 1.5 0.6 1.5GOGO ONON TOTO THETHE NEXTNEXT PAGEPAGE-7-
Directions: Questions 15 through 17 are based on the graph below, which shows the percentages of theEarth’s surface at various elevations.Percentage of Earth’s Crustal Surfaceat Various Elevations5,0004,000Elevation (meters)3,0002,0001,000Sea 0Level-1,0005101520Percentage of Earth’s pproximately what percentage of theEarth’s surface is at or above sea level?A 22%B 30%C 50%D 60%E 100%16A 12 kmB 8 kmC 7 kmD 5 kmE 2 kmWhich of the following elevationintervals contains the highestpercentage of the Earth’s crustalsurface?ABCDEWhich of the following bestapproximates the difference betweenthe highest elevations and the lowestelevations of the Earth’s crustalsurface? (1, 000 m 1 km)0 to 1,000 1,000 to 0 4,000 to 3,000 5,000 to 4,000 6,000 to 5,000GO ON TO THE NEXT PAGE-8-
1819Consider the circle graph below.Land and Water Areas on EarthIndian OceanLand AreaABCDEAtlanticOceanOtherWater20Pacific OceanIf the measure of the arc associatedwith the Pacific Ocean is approximately125 , which of the following representsthe proportion of Earth’s surface that iscovered by the Pacific Ocean?125A360 125BCE2 F2.5 F3 F5 F6 FEach month a lawn-care companysprays for weeds in 500 differentyards. Last month, to determine theeffectiveness of its herbicide, thecompany randomly selected 50 lawnsfor inspection. Of the lawns selected,40 showed 5 or fewer weeds. Which ofthe following could the lawn companyconclude with the greatest certainty?A Exactly 80% of the lawns sprayed lastmonth have 5 or fewer weeds.B At least 80% of the lawns sprayed lastmonth have exactly 5 weeds.C More than 80% of the lawns sprayed lastmonth have 5 or more weeds.D It is very likely that more than half ofthe lawns sprayed last month have 5 orfewer weeds.E It is very likely that more than half ofthe lawns sprayed last month have atleast 5 weeds.360 125360360 125DIf the temperature at 8:00 a.m. was 22 F,and at 4:00 p.m. the same day, it was – 2 F,what was the average temperature decreaseper hour during this period?12536012512536021Which of the following correctlyexpresses x yards, y feet, andz inches in terms of inches?ABCDE36x 12y zx 12y 36z36x 36y zx 36y 36zx 36y 12zGO ON TO THE NEXT PAGE-9-
2224A fence encloses a rectangular fieldmeasuring 300 feet by 100 feet. A cow istied to a fence post at one corner of thefield. If the rope is 50 feet long, whichof the following represents the grazingarea of the cow inside the fence in squarefeet?The diagram below shows a coordinategrid. What are the coordinates of thepoint where the graph of y 4 x 8intersects the x-axis?y8Area of a circle π( radius) 2Area of a rectangle length times width64A 300 1002B (300 50) (100 50)CD–8π 50 50–6 –4 –24π 50 50ABCDE2 1010 eV8 1011 eV25How many more electron volts areproduced by the new model as comparedwith the original model?7.8 1011B7.8 1010C7.8 109D6 101E4 1018–8The unit of measurement used to describethe energy produced by an atomic particleaccelerator is the electron volt (eV). Shownbelow are the amounts of energy producedby two versions of a particle accelerator.A6–62Original ModelNew Model4–4E (300 100) (50 50) π23–22(2,0)(8,0)(0, 2)(0, 4)(0,4)Kyle purchased a padlock with aresettable combination that uses 3 digitsfrom 0 through 9 that must be entered inthe proper order. A digit may be repeatedin the combination. Which expressionshows the total number of possiblecombinations for the padlock?A 310B 10 3C 10 9 8D (10)(9)(8)E 10 10 10GO ON TO THE NEXT PAGE-10-x
2628Naomi is looking at a flying eagle, as shownin the diagram below.x feet20ºWhat equation represents therelationship that s is directly related tor and inversely related to t ?As rtBs C5 feetD25 feetEWhich expression represents the eagle’sheight, in feet, above the ground?25 5Atan 2025B 5tan 2027C20 tan (25) 5D20 tan (25) 5E25 tan (20) 529trrs t1s rts r 1tIf f ( x ) 3 x 2 x , what is f ( x 1) ?ABCDE3x 2 7 x 23x 2 7 x 43x 2 x 43x 2 x 23x 2 x 2Simplify the following expression completely.( 3 2 5 )2A2 3 4 5B 23C3 8 15D23 4 15E25 15GO ON TO THE NEXT PAGE-11-
3032What are the real number solutions to thefollowing equation?x 2 4 x 32 0A{ 8, 4}B{ 4, 8}C{ 4 2 7 }{ 2 2 7 }{ 2 4 7 }DE31ABCDEFactor the following expression:2 x 3 10 x 2 12 x.ABCDESuppose the functions f ( x ) and g( x ) areinverse functions. About what line is thegraph of g( x ) a reflection of the graphof f ( x )?2 x( x 6)( x 1)2 x( x 6)( x 1)2 x( x 3)( x 2)2 x( x 3)( x 2)2 x( x 6)( x 1)-12-The x-axisThe y-axisThe line y 0The line y xThe line y x
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Mathematics Practice TestAnswer 7D28C29B30A31A32D-14-
formula to set its selling prices. Price (actual cost) (25 percent of actual cost) If the actual cost of a refrigerator is 800, what price will the store set for the refrigerator? A 200 B 600 C 800 D 1,000 E 1,400 4 The following
