Number Sense and Problem Solving Practice Questions

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1 Number Sense and Problem Solving Practice Questions Directions: You MAY use your calculator.. A beverage container holds servings. If the serving size is ounces, how many ounces does the container hold in all? A. 0 B. C. D. 96. Sales at concession stands are $9, $57, and $76. What is the total amount in sales? A. $5 B. $09 C. $7 D. $57. If you want to cut two-foot braces, how many boards of the length shown below would you need? A. B. 6 C. D. ft. Using your calculator, find the value of. A. B. C. D. 5. Angelo bought a used car with 9,5 miles on it. If the car now has 70,00 miles on it, how many miles has Angelo driven the car? A. 0,59 B. 9,59 C. 70,00 D. 09,9 6. Use your calculator to solve this problem. If Emory paid 0% of $0 as a down payment, how much was the down payment? A. $6 B. $ C. $656 D. $ Inventory shows that a warehouse has 5 printers in stock. If each printer is valued at $5, what is the total value of the printer inventory? A. $565 B. $70 C. $0 D. $5. Lydia can drive 0 miles in hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday? A. 60 B. 0 C. 600 D. 60 Number Sense and Problem Solving 0_GED-Math_a.indd 9/0/6 : PM

2 9. Janelle wants to drive from Danville to Brownsville. If she averages 60 miles per hour, how many hours will it take her to drive the distance? Danville A. 6 B. C. 60 D miles Brownsville 0. A company sold a total of $0 in gift bears for Valentine s Day. If the gift bears cost $5 apiece, how many gift bears did it sell? A. 5 B. 96 C. D. 0. In addition to interest charges, Richard s credit card company charges a $5 late fee for payments made after the payment due date. If he was charged a late fee for different monthly bills, how much could he have saved by paying the bills on time? A. $00 B. $0 C. $ D. $5. April has taken her car in for the recommended oil and filter change every,500 miles. If April bought her car brand-new, and the odometer now shows just over 7,500 miles, how many oil changes has her car received? A. 5 B. C. D. 6. A clinic treated 56 children over a -month period. At this rate, how many children did the clinic treat in month? A. B. 56 C. 50 D. 5. Attendance at a local play was Friday night, 0 Saturday night, and 66 Sunday afternoon. How many more people attended the play on Sunday than on Friday? Write your answer on the line below. 6. Raquel has payments left on her car. If each payment is $6, how much does she still owe on her car? Write your answer on the line below.. A waiter has seven $5 bills and eigh teen $ bills from tips. In all, how much does he have in tips? A. $ B. $5 C. $5 D. $5 Mathematical Reasoning 5 0_GED-Math_a.indd 5 9/0/6 : PM

3 7. In what order should items weighing 5 pounds, 0 pounds, pounds, and pounds be stacked if you want them in order from heaviest to lightest? A. 5,, 0, B. 0,,, 5 C. 5,,, 0 D. 5, 0,,. Which of the following correctly shows,5,769 rounded to the nearest ten thousand? A.,00,000 B.,55,000 C.,50,000 D.,000, What is the total weight in pounds of the packages below? lb lb lb A. B. 65 C. 60 D. 0. Jason paid a $ dinner bill with a $0 bill. How much change should he receive? A. $6 B. $7 C. $ D. $ 6 Number Sense and Problem Solving 0_GED-Math_a.indd 6 9/0/6 : PM

4 Decimals and Fractions Practice Questions Directions: You MAY use your calculator.. A wooden flooring strip is 0 inches long. If you cut off inches from one end, what will be the new length of the strip in inches? A. 6 B. 6 C. 5 D Three packages weigh pounds, pounds, and pounds. What is the 0 average weight, in pounds, of the packages? (Hint: Add the weights, then divide by the number of packages.) A.. B..5 C..75 D..55. A box of cereal costs $.69. The package label says that the box contains 9 servings. What is the cost of serving to the nearest cent? A. $0.0 B. $0.5 C. $0.7 D. $.6. How much would a computer system cost if it is priced as shown below? Pay $00 down and make monthly payments of only $9.5. A. $56.0 B. $00.00 C. $6.0 D. $6.0. Unleaded gasoline sells for $.69 per gallon. How much would 0 gallons cost? Round your answer to the nearest cent. A. $.0 B. $.69 C. $0. D. $ Gina is paid $ an hour. If she earned $5 in week, how many hours did she work? A. B. C. D A developer plans to build homes on 0 acres. She estimates that 6 acres will be used for roads. The remaining land will be divided into -acre lots. How many lots can the subdivision include? A. 7 B. 57 C. D. 07. A school buys 000 white-board markers. Below is the price per marker for two brands. How much did the school save by buying Brand A instead of Brand B? Brand A: $0.7 each Brand B: $0.6 each A. $0.09 B. $0.90 C. $9.00 D. $ Decimals and Fractions 0_GED-Math_a.indd 56 9/0/6 : PM

5 Questions 9 and 0 refer to the following information. Madison Small Animal Clinic Scheduling Guidelines New-Patient Appointment Immunizations Routine Physical Dental Scaling Sick Animal Visit hr hr hr hr hr Serious-Injury Visit (includes X-rays) hr 9. Ray is a veterinarian at the small-animal clinic. He has four appointments scheduled for Monday morning: two new patient appointments, a seriousinjury visit, and a dental scaling. In hours, how much time should these appointments take? A. B. C. D. 0. Jennifer works hours each morning at the clinic. How many routine physicals could she complete in one morning? A. B. 9 C. 0 D.. The City Center parking garage charges $.50 for the first hour and $.5 for each additional hour. How much would it cost to park at the garage for hours? A. $.75 B. $6.5 C. $7.5 D. $9.75. Susan scheduled appointments for patients at a hospital outreach clinic. Only 56 patients kept their appointments. What fraction of the scheduled appointments were kept? Write your answer on the line below.. This portion of a gas bill compares a household s natural gas usage for December of this year and last year. Gas Bill Comparison Average Daily Usage This Year Last Year Dec. therms Dec.97 therms How many more therms of natural gas did the household use in December of last year than December of this year? Express your answer as a decimal. Write your answer on the line below.. A minor-league baseball stadium has 6000 seats. On Beach Towel Night, the stadium sold 5500 of its available seats. What fraction of the seats were sold? 5 A. B. C. D Mathematical Reasoning 57 0_GED-Math_a.indd 57 9/0/6 : PM

6 5. Jim and Carl have until p.m. to load 50 boxes. By :0 p.m., 75 of the boxes are loaded. What fraction of the boxes has not been loaded? A. 5 B. 0 C. 5 D On the number line below, what is the value of A minus B? A. B. 5 0 B 5 A 7 Question 9 is based on the following information. Carbide Steel Drill Bits Description Size (inches) Price Cutter $ Core Box 5 $6.0 Classic $7.5 Bevel $ Which of the following shows the drill bits arranged in order from least to greatest in size? A. cutter, bevel, classic, core box B. core box, bevel, classic, cutter C. bevel, classic, cutter, core box D. core box, classic, bevel, cutter C. 7 D. 7. Scott is driving about 0 miles from Los Angeles to San Francisco. He plans to cover of the distance before noon. How many miles does he plan to drive before noon? A. 5 B. 5 C. 6 D Joe is going to order a pizza. He will eat at least of it. If he s very hungry, he might eat as much as 7 of it. Place two points on the number line below to represent the minimum fraction of the pizza Joe might have left over and the maximum fraction of the pizza Joe might have left over A cookie recipe calls for cups of sugar. If you wanted to make half the quantity shown in the recipe, how many cups of sugar would you use? A. 5 B. C. 5 6 D. 6 5 Decimals and Fractions 0_GED-Math_a.indd 5 9/0/6 : PM

7 Algebra Basics, Expressions, and Polynomials Practice Questions. Which of the following expressions is equal to 6 ( x + )? A. x + B. x 9 C. x + 9 D. x 6. If Kris makes d dollars and Heidi makes 75 dollars less than times Kris s wage, what does Heidi make in terms of d? A. d + 75 B. d 5 C. d 75 D. d 5. What is the product of 700 and 0,000 written in scientific notation? A B..6 0 C D If Tom has 9x baseball cards, Adam has more than Tom, and Dave has y baseball cards, together they would have how many cards? A. 9x + y + B. xy + C. xy + y D. x + y + Questions 7 and refer to the figure below. The figure below is a multiplication box. Each place represents the horizontal number multiplied by the vertical number; for example, the 9 in the lower right corner equals multiplied by. 5 y 5 c 0 a b d 9 7. Which of the following is equal to ab? A. 5y B. 60y C. 00y D. 500y. Which of the following is equal to a d? A. b B. c C. x D. y 0. A Little League pie sale fundraiser generated $900 in revenue. If there were 6x pies sold, how much did each pie cost? A. $0 B. $5 C. x $ 50 D. $ 50 x Algebra Basics, Expressions, and Polynomials 0_GED-Math_b.indd 9/0/6 :9 PM

8 . Emilie buys x ounces of chicken for each of her guests at a dinner party. There are y people coming, and chicken is $z a pound. How much will the total amount of chicken cost in dollars? (Hint: There are 6 ounces in one pound.) A. xyz B. 6xyz xyz C. xyz D.. What is the value of the expression 6( x y) x when x = and y = 5? A. 5 B. 6 C. D.. If Stephanie has 5c CDs for every DVD Alyshia has, and Jeff has d DVDs, which is 5 more than Alyshia has, how many CDs does Stephanie have? A. 0cd 75c B. 0cd + 5 C. 0cd 5 D. 0cd 75c Mathematical Reasoning 9 0_GED-Math_b.indd 9 9/0/6 :9 PM

9 Equations, Inequalities, and Functions Practice Questions Directions: You MAY use your calculator.. Which of the following expressions is equal to 6 ( x + )? A. x + B. x 9 C. x D. x 6. Three increased by the product of and a number is equal to the same number decreased by 6. What is the number? A. B. C. D. 5. For a two-week period, Jan earned $50 less than twice Tom s earnings. Together Jan and Tom earned $0. How much did Tom earn? A. $70 B. $660 C. $50 D. $60. Samuel is paid $50 per month plus a 0% commission on his total sales for the month. If he needs to earn at least $00 per month, which of the following expressions represents the total sales (s) Samuel needs to achieve? A. s $7,500 B. s $7,500 C. s $,000 D. s $, For its Checking Plus account, a bank charges $.95 per month plus $0.0 for each check written after the first ten checks written that month. The function to find the total monthly fee (F) is F = $.95 + $0.0( n 0), where n = number of checks written. Greg writes checks in March. How much will he pay in fees for the month? A. $6.5 B. $5.5 C. $.0 D. $.0 0. The sum of four consecutive odd numbers is 0. What is the largest number? A. B. 5 C. 7 D. 9. Which value for x makes the inequality x > 00 true? A. 7 B. C. 6 D. 6. Four less than the product of a number (x) and 5 is equal to more than added to times the number. Which of these equations could be used to find the value of x? A. 5x = + + x B. 5x = + + x C. 5x = + +x D. 5x = Cynthia is 6 times as old as Rebecca. In 6 years, Cynthia will be only times as old as Rebecca. How old is Rebecca now? A. B. C. D.. Which of the following graphs represents the solution set of the inequality ( x 6) >? A. () B. C. D. () Equations, Inequalities, and Functions 0_GED-Math_b.indd 9/0/6 :5 PM