HSPA Practice Test #1 STUDY GUIDE

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Jared Heath
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1 1) Which of the following types of numbers would solve the equation x 2 = 45? A) Whole numbers B) Rational numbers C) Integers D) Irrational numbers HSPA Practice Test #1 STUDY GUIDE 2) Which of the following equations represents the situation: to qualify to be a member of the school s math team, a student s cumulative points on a qualifying exam must be within 15 points of 275. A) x B) x C) x D) x

2 3) Which of the following represents a commutative operation? A) a b = a 2 - b B) a b = 4(a + b) C) a b = a b D) a b = a 3b 5) Which of the following numbers is between 1/10,000 and 1/100,000 and is correctly expressed in scientific notation? A) B) C) D) ) Which of the following is not equal to the other three? A) B) 15/10 C) 150% D) ) A $32 sweater is reduced by 25% for the holiday sale. By what percent must the sale price of the sweater be multiplied to restore the price to the original price before the sale? A) 1332% B) 125% C) 25% D) 8%

3 7) The members of the decorating committee for a school dance have 24 red carnations, 32 white carnations, and 40 pink carnations. They want to form as many identical centerpieces as possible using all of the carnations so that each centerpiece has the same combination of colors as all of the other centerpieces. How many pink carnations will each centerpiece have? Why? 9) On some days a bakery packages cupcakes 4 to a package. On other days, cupcakes are in packages of 6 or 8. On a given day, all the cupcakes baked were packaged and there was once cupcake left over. Which of the following could NOT be the number of cupcakes baked on that day? Why not? A) 22 B) 25 C) 49 D) 97 A) 4 B) 5 C) 8 D) 10 8) Which of the following is NOT a way to find 120% of a number? A) multiple the number by ) There are 3 times as many girls as boys in the Spanish Club of Central HS. If there are 36 members on the club, how many are boys? How do you know? A) 9 B) 12 C) 15 D) 27 B) divide the number by 5 and add the result to the number C) divide the number by 5 and multiple the result by 6 D) multiply the number by 0.20 and multiply the result by 5

4 11) Light travels at a speed of about 186,281.7 miles per second. How far would light travel in 365 days? A) miles B) miles C) miles D) miles 13) Knowing that 2 3 = = 8, what number would make the following true? A) 9 B) 15 C) 18 D) = 2? 12) Mr. Kim, a salesperson, is paid $300 a week plus commission. His commission is 5% of his weekly sales. In the month of January, his weekly sales totals were: Week 1: $8,576 Week 2: $9,500 Week 3: $7,362 Week 4: $10,567 What is his average weekly commission? A) $429 B) $450 C) $528 D) $1,800 14) Mary earns $7.50 an hour for the first 40 hours a week she works. She earns time and a half for any hours over 40 she works during the week and double time for hours worked on the weekend. Her time card for one week is shown. Monday: 8.5 hours Tuesday: 9 hours Wednesday: 91 hours Thursday: 8 hours Friday: 7 hours Saturday: 31 hours How much did Mary earn? A) $ B) $ C) $ D) $382.50

5 15) A fraction is equivalent to 3/8. The sum of the numerator and denominator is 33. What is the fraction? 17) Helen is paid at the rate of $6.50 an hour for the first 40 hours a week that she works. She is paid time-andhalf for any hours over 40. How much will Helen make working 50 hours compared with working 46 hours? 16) Suppose you visited Canada and took $325 to spend. The rate of currency exchange was $ Canadian dollars per U.S. dollar. To the nearest dollar, how many Canadian dollars would you get for the exchange? 18) If 5 students share $450 in the ratio of 1:2:3:4:5, how much is the largest share?

6 19) A baseball player s batting average is the ratio of the number of hits to the official number of times at bat. A player had 150 hits during a season and wound up with a batting average of.300. What was the total number of times he was at bat for the season? 21) Ground beef sells for $2.19 per pound. If a package of ground beef costs $4.25, what is the weight of the package to the nearest hundredth of a pound? 20) A printer charges 4.2 cents per copy of a standard size original. There is an additional charge of one-half cent for each copy on colored paper. How much would you pay for 100 copies of an original on white paper and 100 copies on blue paper? 22) Because of a printer malfunction, Harry could not read some of the information on his monthly checking account statement. From the information given, find the closing balance of Harry s account. Number Account Summary Beginning Balance 08/01 $ deposits/credits xxxxxxx 3 checks/debits xxxxxxx Service Charge Ending Balance 08/31 xxxxxxx Date Amount Date Amount 08/02 $ /22 $ /05 $ /25 $ /11 $ /29 print checks $ /31 interest $3.45 +

7 23) Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made. How much will the certificate be worth (to the nearest dollar) at the end of 7 years? 25) The cost of a hamburger goes from $2.00 to $2.25. Determine the percent of increase. Explain. 24) If a principal of $1000 is saved at an annual yield of 8% and the interest is kept in the account, in how many years will the principal double in value? 26) In York City, the sales-tax rate is increased from 7% to 7.25%. Under this change, how much additional tax would you pay in purchasing an item priced at $800? Show your process in determining this answer.

8 27) The scale on a map is ½ inch = 80 miles. How far apart are two cities that at 4¾ inches apart on the map? Explain how you determined your answer. 28) If 4, 5, and 7 are factors of a number, list 4 other numbers that would also be factors of the number.

HSPA STUDY GUIDE MULTIPLE CHOICE AND SHORT ANSWER

HSPA STUDY GUIDE MULTIPLE CHOICE AND SHORT ANSWER 1) Which of the following types of numbers would solve the equation x 2 = 45? A) Whole numbers 27) The scale on a map is ½ inch = 80 miles. How far apart