HiSet 2016 Free Practice Test Math FPT - 6A English

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Get the HiSET testing experience Answer questions developed by the test maker Find out if you’re ready for the actual subtestMathematicsHiSET Exam Free Practice Test FPT – 6Ahiset.ets.orgReleased 2016

Copyright 2016 by Educational Testing Service. All rights reserved. ETS, the ETS logo and HiSET are registeredtrademarks of Educational Testing Service (ETS). MEASURING THE POWER OF LEARNING is a trademark ofETS. Test items 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 Harcourt PublishingCompany. Test items from Iowa Testing Programs copyright 2016 by The University of Iowa. All rights reserved.

MathematicsDirectionsTime 45 minutes25 QuestionsThis is a test of your skills in applying mathematical concepts and solving mathematical problems. Readeach question carefully and decide which of the five alternatives best answers the question. Then markyour choice on your answer sheet.There are relatively easy problems scattered throughout the test. Thus, do not waste time on problems thatare too difficult; go on, and return to them if you have time.Work as quickly as you can without becoming careless. Try to answer every question even if you have toguess.Mark all your answers on the answer sheet. Give only one answer to each question.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 row of answerchoices you are marking on your answer sheet. The answer sheet may contain more rows than you need.

Computer salespeople at a local store earn a 100 commission per computer for the first5 computers they sell each month. For everyadditional computer they sell during that month,the commission per computer is 1.5 times therate for the first five. Which of the following isthe total commission earned by a salespersonwho sells 8 computers in a month?A. 190B. 800C. 950D. 1,050E. 1,200Unauthorized copying or reuse of any part of this page is illegal.152Which line would best fit the data shown in thescatter plot?A.B.C.D.E.GO O N

In the standard (x, y) coordinate plane, for whatvalue(s) of x will the graphs of f (x) x andg(x) x intersect?A. x 1 onlyB. x 0 and 1 onlyC. x 0 onlyD. x 0 onlyE. All real numbers x4Which graph could represent the relationshipbetween x and y, if it is known that y alwaysdecreases as x increases?A. I onlyB. IV onlyC. I and IV onlyD. II and III onlyE. II and IV onlyUnauthorized copying or reuse of any part of this page is illegal.365What are the coordinates of the vertex of theparabola represented by the equationy 5x 2 30x 25 ?A. (6, 25)B. (5, 0)C. (3, 20)D. (1, 0)E. ( 3, 160)6Consider the following advertisement.Which of the following calculations represents thecost of 2 dozen iris bulbs?A. 24 3B. 5 (2 4) (12 3)C. (6 5) (6 4) (12 3)D. (12 5) (12 4) 1 1 E. 5 4 (12 3) 2 2 GO O N

At a movie rental machine, the movies rentfor 3.00, except on Tuesdays, when they rentfor 0.49. Approximately what percent of theregular cost is saved by renting a movie on aTuesday?A. 94%B. 84%C. 60%D. 40%E. 16%8The wood floor of a community recreation centeris in the shape of a square that is 200 feet by200 feet. If directions on a bottle of floor waxindicate that1of a bottle will cover2approximately 2,000 square feet, about howmany full bottles of floor wax are needed to waxthe wood floor?A.5B.10C.20D.40E. 100Unauthorized copying or reuse of any part of this page is illegal.779A couch advertised for 500 can be purchasedfor a down payment of 200 plus 5 equalmonthly installments. What is the amount ofeach monthly payment?A. 300B. 100C. 80D. 60E. 40GO O N

The function y f (x) is graphed in the standard(x, y ) coordinate plane as shown. Which of thefollowing values is the average rate of change ofthe function from x 1 to x 3 ?y654321–6 –5 –4 –3 –2 –1 0–11234–2–3–4–5–6A. 4B. 18C. 33D. 81E. 4Unauthorized copying or reuse of any part of this page is illegal.56x108Question 11 refers to the following information.A local newspaper is featuring news about the endof the school year on the front page, includingarticles on the senior prom, the state-championtrack team, and the retiring teachers. Thefollowing diagram shows the planned layout of thefront page. Each layout area is either a rectangleor a combination of rectangles.11What percent of the front page is taken up by theprom story, including the prom photograph?A. 20%B. 22%C. 25%D. 45%E. 60%GO O N

Each side of Rectangle A is 5 times as long aseach corresponding side of Rectangle B. Thearea of Rectangle A is how many times the areaof Rectangle B?A.5B.10C.20D.25E. 12513Polygon A will be translated in a coordinateplane using the following rule.(x , y ) (x 3 , y 4 )The image will be named Polygon B. Which ofthe following describes the translation fromPolygon A to Polygon B?A. 3 units up and 4 units leftB. 3 units up and 4 units rightC. 3 units left and 4 units downD. 3 units right and 4 units upE. 3 units right and 4 units downUnauthorized copying or reuse of any part of this page is illegal.12914Which of the following expressions is equivalentto10a6 2a 3?A. 5a 2B. 5a 3C. 8a 2D. 12a 2E. 12a 315The sale price of a hat Tyler wants to buy is20% off the regular price. One way to determinethe sale price is for Tyler toA. multiply the regular price by 0.20.B. multiply the regular price by (1 0.20).C. divide the regular price by 0.20.D. divide the regular price by (1 0.20).E. divide the regular price by (1 0.20).GO O N

A scientist found that the height of a mountainincreased by approximately 5 10 4 meters eachmonth. If this rate of change continues, by howmany meters will the height of the mountainincrease in 1 year?A.6 10 3B.6 10 4C.6 10 5D. 12 10 4E. 17 10 4Unauthorized copying or reuse of any part of this page is illegal.161017The formula for the perimeter, P , of the triangleshown is P 2n b .Which formula is equivalent to the perimeterformula but is solved for n ?A. n P b2B. n 2P bC. n P b2D. n P b2E. n P b2GO O N

Which of the following expressions isx 2 3x 1equivalent to?x 1A. x 2B. x 3C. x 2 1x 1D. x 3 1x 1E. x 4 5x 1Unauthorized copying or reuse of any part of this page is illegal.181119The amount of hot cocoa powder remaining in acan is 6of 11tablespoons. A single serving consists43tablespoons of the powder. What is the4total number of servings of the powderremaining in the can?A. 312B. 347C. 437D. 412E. 6GO O N

A basket that contains 2 apples, 3 bananas,6 oranges, and 4 pears is in the workroom.When Ms. Hutchinson went to the workroom,other workers had already taken 1 banana,2 oranges, and 1 pear. From the remaining fruit,Ms. Hutchinson randomly took 3 pieces of fruitseparately from the basket. If each fruit isequally likely to be chosen, what is theprobability that the third piece was an orange ifthe first two she took were also oranges?A.4165B.911C.411D.311E.2921On a trip to visit friends, a family drives65 miles per hour for 208 miles of the trip. If theentire trip was 348 miles and took 6 hours, whatwas the average speed, in miles per hour, for therest of the trip?A. 44B. 50C. 51D. 58E. 60Unauthorized copying or reuse of any part of this page is illegal.201222Which expression is equivalent to6x 2 4x?2xA. 7xB. 5x 2C. 3x 2D. 6x 2 2E. 3x 2 2x23Which set of ordered pairs represents a function?A. {( 5, 5), (4, 8), ( 5, 6)}B. {( 1, 1), ( 1, 6), ( 1, 10)}C. {( 3, 7), (2, 5), ( 7, 7)}D. {(2, 3), ( 2, 4), ( 2, 5)}E. {(2, 3), (3, 2), (2, 5)}GO O N

x 83 244What is the value of x in the equation?A. 10B.20C.26D. 31E.40Unauthorized copying or reuse of any part of this page is illegal.241325Matthew’s age (m) is three years more thantwice Rita’s age (r). Which equation shows therelationship between their ages?A. m r 32B. m r 32C. m 2(r 3)D. m 2r 3E. m 2r 3

Answer KeySequenceNumberCorrectResponseContent CategoryQuestionDifficulty1CI. Numbers and Operations on NumbersMedium2DIII. Data Analysis/Probability/StatisticsEasy3EIV. Algebraic ConceptsMedium4EIV. Algebraic ConceptsMedium5CIV. Algebraic ConceptsHard6CI. Numbers and Operations on NumbersMedium7BI. Numbers and Operations on NumbersMedium8BII. Measurement/GeometryMedium9DI. Numbers and Operations on NumbersMedium10AIV. Algebraic ConceptsMedium11AII. Measurement/GeometryMedium12DII. Measurement/GeometryMedium13EII. Measurement/GeometryEasy14BI. Numbers and Operations on NumbersMedium15BI. Numbers and Operations on NumbersHard16AI. Numbers and Operations on NumbersHard17CIV. Algebraic ConceptsMedium18CIV. Algebraic ConceptsHard19BI. Numbers and Operations on NumbersMedium20EIII. Data Analysis/Probability/StatisticsHard21BI. Numbers and Operations on NumbersHard22CIV. Algebraic ConceptsMedium23CIV. Algebraic ConceptsMedium24CIV. Algebraic ConceptsMedium25EIV. Algebraic ConceptsMediumUnauthorized copying or reuse of any part of this page is illegal.14

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