Transcription

HSPT PRACTICE EXAM

BASIC ALGEBRA1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?A. 5/pB. p - 5C. p 5D. p/5E. 1- p 52. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours,how long will it take for both of them to paint the house together?A. 2 hours and 24 minutesB. 3 hours and 12 minutesC. 3 hours and 44 minutesD. 4 hours and 10 minutesE. 4 hours and 33 minutes3. Employees of a discount appliance store receive an additional 20% off of the lowestprice on an item. If an employee purchases a dishwasher during a 15% off sale, howmuch will he pay if the dishwasher originally cost 450?A. 280.90B. 287C. 292.50D. 306E. 333.894. The sales price of a car is 12,590, which is 20% off the original price. What is theoriginal price?A. 14,310.40B. 14,990.90C. 15,290.70D. 15,737.50E. 16,935.80

5. Solve the following equation for A : 2A/3 8 4AA. -2.4B. 2.4C. 1.3D. -1.3E. 06. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the totalof their ages is 41. Then how old is Sue?A. 8B. 10C. 14D. 19E. 217. Alfred wants to invest 4,000 at 6% simple interest rate for 5 years. How muchinterest will he receive?A. 240B. 480C. 720D. 960E. 1,2008. Jim is able to sell a hand-carved statue for 670 which was a 35% profit over hiscost. How much did the statue originally cost him?A. 496.30B. 512.40C. 555.40D. 574.90E. 588.20

9. The city council has decided to add a 0.3% tax on motel and hotel rooms. If atraveler spends the night in a motel room that costs 55 before taxes, how much willthe city receive in taxes from him?A. 10 centsB. 11 centsC. 15 centsD. 17 centsE. 21 cents10. A student receives his grade report from a local community college, but the GPA issmudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4hour credit science course, a 3 hour credit mathematics course, and a 1 hour sciencelab. He received a “B” in the art class, an “A” in the history class, a “C” in the scienceclass, a “B” in the mathematics class, and an “A” in the science lab. What was his GPAif the letter grades are based on a 4 point scale? (A 4, B 3, C 2, D 1, F 0)A. 2.7B. 2.8C. 3.0D. 3.1E. 3.211. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paidby the hour at a rate of 10 and time and ½ for any hours worked over 8 in a day. Howmuch did Simon get paid?A. 120.25B. 160.75C. 173.75D. 180E. 182.50

12. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blueones. What is the minimum number of jellybeans she must take out of her pocket toensure that she has one of each color?A. 4B. 8C. 12D. 13E. 1613. If r 5 z then 15 z 3 y, then r A. yB. 2 yC. 5 yD. 10 yE. 15 y14. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50cents at the same rate?A. 150/xB. 150xC. 6xD. 1500/xE. 600x15. Lee worked 22 hours this week and made 132. If she works 15 hours next week atthe same pay rate, how much will she make?A. 57B. 90C. 104D. 112E. 122

Advanced Algebra1. If the average of three numbers is V. If one of the numbers is Z and another is Y,what is the remaining number?A. ZY - VB. Z/V - 3 - YC. Z/3 - V - YD. 3V- Z - YE. V- Z - Y2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travelsat 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 milesper hour. How much time will pass before the second cyclist catches up with the firstfrom the time the second cyclist started biking?A. 2 hoursB. 4 ½ hoursC. 5 ¾ hoursD. 6 hoursE. 7 ½ hours3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same jobin 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill thepool together?A. 12 minutesB. 15 minutesC. 21 minutesD. 23 minutesE. 28 minutes4. Mary is reviewing her algebra quiz. She has determined that one of her solutions isincorrect. Which one is it?A. 2x 5 (x-1) 9, x 2B. p - 3(p-5) 10, p 2.5C. 4 y 3 y 28, y 4D. 5 w 6 w - 3w 64, w 8E. t - 2t - 3t 32, t 8

5. What simple interest rate will Susan need to secure to make 2,500 in interest on a 10,000 principal over 5 years?A. 4%B. 5%C. 6%D. 7%E. 8%6. Which of the following is not a rational number?A. -4B. 1/5C. 0.8333333.D. 0.45E.7. A study reported that in a random sampling of 100 women over the age of 35 showedthat 8 of the women were married 2 or more times. Based on the study results, howmany women in a group of 5,000 women over the age of 35 would likely be married 2or more times?A. 55B. 150C. 200D. 400E. 6008. John is traveling to a meeting that is 28 miles away. He needs to be there in 30minutes. How fast does he need to go to make it to the meeting on time?A. 25 mphB. 37 mphC. 41 mphD. 49 mphE. 56 mph9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, andJack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them workingtogether to mix the 20 drinks?

A. 2 minutes and 44 secondsB. 2 minutes and 58 secondsC. 3 minutes and 10 secondsD. 3 minutes and 26 secondsE. 4 minutes and 15 seconds10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days,how long would the job take if Sam, Lisa, and Tom worked together to complete it?A. 0.8 daysB. 1.09 daysC. 1.23 daysD. 1.65 daysE. 1.97 daysAnalogies 11. DRIP : GUSHA. CRY : LAUGHB. CURL : ROLLC. STREAM : TRIBUTARYD. DENT : DESTROYE. BEND : ANGLE2. WALK : LEGSA. GLEAM : EYESB. CHEW : MOUTHC. DRESS : HEMD. COVER : BOOKE. GRIND : NOSE3. ENFRANCHISE : SLAVERYA. EQUATION : MATHEMATICSB. LIBERATE : CONFINEC. BONDAGE : SUBJUGATIOND. APPEASEMENT : UNREASONABLEE. ANATOMY : PHYSIOLOGY

4. UNION JACK : VEXILLOLOGYA. TOAD : ORNITHOLOGYB. TURTLE : MICROBIOLOGYC. GYMNOSPERMS : BOTANYD. FRIEND : HOME ECONOMICSE. ALGAE : ZOOLOGY5. TOPAZ : YELLOWA. DIAMOND : CARATB. JEWELER : CLARITYC. SAPPHIRE : REDD. AMETHYST : PURPLEE. AMBER : BLUE6. LUMEN : BRIGHTNESSA. CANDLE : LIGHTB. DENSITY : DARKNESSC. NICKEL : METALD. INCHES : LENGTHE. COLOR : HUE7. MACERATION : LIQUIDA. SUBLIMATION : GASB. EVAPORATION : HUMIDITYC. TRAIL : PATHD. EROSION : WEATHERE. DECISION : DISTRACTION8. CLUMSY : BOTCHA. WICKED : INSINUATEB. STRICT : PAMPERC. WILLFUL : HEEDD. CLEVER : ERADICATEE. LAZY : SHIRK

9. FUGITIVE : FLEEA. PARASITE : FOSTERB. BRAGGART : BOASTC. SAGE : STIFLED. BYSTANDER : PROCUREE. FIREBRAND : QUIBBLE10. CHRONOLOGICAL : TIMEA. VIRTUAL : TRUTHB. ABNORMAL : VALUEC. MARGINAL : KNOWLEDGED. ORDINAL : PLACEE. COINCIDENTAL : HEALTH11. SOOT : GRIMYA. FROST : TRANSPARENTB. SUNSHINE : FRUITLESSC. RAIN : SODDEND. PALL : GAUDYE. DUST : RADIANT12. MORBID : UNFAVORABLEA. REPUTABLE : FAVORABLEB. MATERNAL : UNFAVORABLEC. DISPUTATIOUS : FAVORABLED. VIGILANT : UNFAVORABLEE. LAX : FAVORABLE13. SULLEN : BROODA. LETHARGIC : CAVORTB. REGAL : CRINGEC. DOCILE : OBEYD. POISED : BLUNDERE. DESPONDENT : LAUGH

14. AUTHOR : LITERATEA. CYNIC : GULLIBLEB. HOTHEAD : PRUDENTC. SAINT : NOTORIOUSD. JUDGE : IMPARTIALE. DOCTOR : FALLIBLE15. MASSIVE : BULKA. ULTIMATE : MAGNITUDEB. TRIVIAL : IMPORTANCEC. ANONYMOUS : LUSTERD. INTERMINABLE : LEGACYE. GIGANTIC : SIZEAntonyms1. DOTE :A. AVERSIONB. ANTIDOTEC. FOOLISHD. CREATIVITYE. DARING2. IMBROGLIO :A. FIGHTB. CONCLUSIONC. TRUSTD. THANKFULNESSE. HARMONY3. REMINISCE :A. ORIGINATEB. IGNOREC. CREATED. RECONVENEE. CREDIT

4. EXPEDITE :A. DISPATCHB. DAWDLEC. PRECIPITATED. OVERLOOKE. CREED5. ONUS :A. EASEMENTB. CAPABILITYC. OBLIGATIOND. TRACTIONE. BELIEF6. SQUALOR :A. IMPURITYB. WEALTHC. CONSUMPTIOND. FECESE. INDIGENCE7. RETICENT :A. TIREDB. FORWARDC. SHYD. DRAINEDE. ELEGANT8. NEXUS :A. SEPARATIONB. CONNECTIONC. RESPECTD. VINCULUME. DISTRACTION

9. NOISOME :A. FETIDB. RANKC. SALUBRIOUSD. PACIFICE. PESTILENTAverages and Rounding1. Round 907.457 to the nearest tens place.A. 908.0B. 910C. 907.5D. 900E. 907.462. At a certain high school, the respective weights for the following subjects are:Mathematics 3, English 3, History 2, Science 2 and Art 1.What is a student's average whose marks were the following: Geometry 89, AmericanLiterature 92, American History 94, Biology 81, and Sculpture 85?A. 85.7B. 87.8C. 88.9D. 89.4E. 90.23. Ginger over the course of an average work-week wanted to see how much she spenton lunch daily. She spent 5.43 on Monday, and the same amount on Thursday. OnTuesday and Wednesday, she spent 3.54 each day. On Friday, she spent 7.89 onlunch. What was her average daily cost?A. 3.19B. 3.75C. 3.90D. 5.17E. 4.23

4. What is 1230.932567 rounded to the nearest hundredths place?A. 1200B. 1230.9326C. 1230.93D. 1230E. 1230.9335. Subtract the following numbers rounded to the nearest tenths place.134.679-45.548-67.8807A. 21.3B. 21.25C. -58.97D. -59.0E. 16. What is the absolute value of -9?A. -9B. 9C. 0D. -1E. 17. What is the median of the following list of numbers? 4, 5, 7, 9, 10, 12A. 6B. 7.5C. 7.8D. 8E. 9

8. What is the mathematical average of the number of weeks in a year, seasons in ayear, and the number of days in January?A. 36B. 33C. 32D. 31E. 299. In a college, some courses contribute more towards an overall GPA than othercourses. For example, a science class is worth 4 points; mathematics is worth 3 points;history is worth 2 points; and English is worth 3 points. The values of the grade lettersare as follows, A 4, B 3, C 2, D 1, F 0. What is the GPA of a student who made a “C”in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” inMicrobiology?A. 2.59B. 2.86C. 3.08D. 3.33E. 3.6710. Over the course of a week, Fred spent 28.49 on lunch. What was the average costper day?A. 4.07B. 3.57C. 6.51D. 2.93E. 5.41Basic Operations1. Add 0.98 45.102 32.3333 31 0.00009A. 368.573B. 210.536299C. 109.41539D. 99.9975E. 80.8769543

2. Find 0.12 1A. 12B. 1.2C. .12D. .012E. .00123. (9 3) x (8 4) A. 1B. 6C. 72D. 576E. 7524. 6 x 0 x 5A. 30B. 11C. 25D. 0E. 275. 7.95 1.5A. 2.4B. 5.3C. 6.2D. 7.3E. 7.56. -32 7 equals:A. -25B. 25C. -26D. 26E. 27

7. -37 -47 equals:A. 64B. -84C. 65D. -75E. -668. 41% equals:A. 4.1B. .41C. .041D. .0041E. .00415CommasThe following sentences either have existing or require additional commassomewhere in their structures. Choose the option that best reflects proper commausage in each sentence.1. For the Thanksgiving reunion, relatives were sitting in the dining room, on theporch, and in the carport.A. Thanksgiving, reunionB. were, sittingC. porch andD. No error2. Lydia seems to be a kind, considerate girl.A. seems, toB. considerate, girlC. kind considerateD. No error

3. This fishing pole Nathan, has seen better days.A. pole, Nathan,B. has, seenC. NathanD. No error4. My cousin has moved to 56 Central Street Narragansett, Rhode Island 02882.A. has moved,B. Central Street,C. 56, CentralD. No error5. The badger, a shy animal sometimes makes friends with a coyote.A. sometimes, makesB. friends, withC. a shy animal,D. No error6. After the death of Blackbeard, the famous pirate, piracy disappeared from thecoast of the American colonies.A. the famous pirateB. after the death,C. coast, ofD. No error7. "Silent Night" was written by two men from the village of Oberndorf Austria.A. men, fromB. "Silent Night,"C. Oberndorf, AustriaD. No error

8. On November 19, 1929 Admiral Richard E. Byrd flew the Floyd Bennett to thebase of the Queen Maud Mountains.A. base, ofB. the, QueenC. 1929,D. No error9. Oh I forgot to bring the cookies.A. Oh,B. I, forgotC. to, bringD. No error10. "The boy in the kayak," whispered Sue "is the new football captain."A. boy, in theB. new, footballC. whispered Sue,D. No errorEstimation and Sequences1. Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9A. Descending arithmetic sequenceB. Ascending arithmetic sequenceC. Descending geometric sequenceD. Ascending geometric sequenceE. Miscellaneous sequence2. Which of the following is not a whole number followed by its square?A. 1, 1B. 6, 36C. 8, 64D. 10, 100E. 11, 144

3. A nurse has to record her temperatures in Celsius but her thermometer readsFahrenheit. A patient's temperature is 100.7 F. What is the temperature in C?A. 32 CB. 36.5 CC. 38.2 CD. 213.3 CE. 223.7 C4. Art realized that he had 2 more quarters than he had originally thought in hispocket. If all of the change in his pocket is quarters and it totals to 8.75, how manyquarters did he originally think were in his pocket?A. 27B. 29C. 31D. 33E. 355. There are 12 more apples than oranges in a basket of 36 apples and oranges. Howmany apples are in the basket?A. 12B. 15C. 24D. 28E. 366. Which of the following correctly identifies 4 consecutive odd integers where the sumof the middle two integers is equal to 24?A. 5, 7, 9, 11B. 7, 9, 11, 13C. 9, 11, 13, 15D. 11, 13, 15, 17E. 13, 15, 17, 19

7. What is the next number in the sequence? 6, 12, 24, 48,A. 72B. 96C. 108D. 112E. 1248. Which of the following numbers could be described in the following way: an integerthat is a natural, rational and whole number?A. 0B. 1C. 2.33D. -3E. none of the above9. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8,A. 1/10B. 1/12C. 1/14D. 1/15E. 1/1610. Of the following units, which would be most likely to measure the amount of sugarneeded in a recipe for 2 dozen cookiesA. degrees CelsiusB. millilitersC. quartsD. kilogramsE. cups

Exponents1. 104 is not equal to which of the following?A. 100,000B. 0.1 x 105C. 10 x 10 x 10 x 10D. 102 x 102E. 10,0002. Multiply 104 by 102A. 108B. 102C. 106D. 10-2E. 1033. Divide x5 by x2A. x7B. x4C. x10D. x3E. x2.54. Find 8.23 x 109A. 0.00000000823B. 0.000000823C. 8.23D. 8230000000E. 8230000000005. 83,000 equals:A. 83.0 x 104B. 8.3 x 104C. 8.3 x 103D. 83.0 x 105E. 83.0 x 102

6. .00875 equals:A. 8.75 x 10-2B. 8.75 x 10-3C. 8.75 x 10-4D. 87.5 x 10-3E. 875 x 10-4Fractions and Square Roots1. What is the improper fraction or mixed number represented by the followin

Solve the following equation for A: 2A/3 8 4A A. -2.4 B. 2.4 C. 1.3 D. -1.3 E. 0 6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue? A. 8 B. 10 C. 14 D. 19 E. 21 7. Alfred wants to invest 4,000 at 6% simple interest rate for 5 years. How much interest will he receive? A. 240 B. 480 C. 720 D. 960 E. 1,200 8 .