Data, Statistics, and Probability Practice Questions

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1 Data, Statistics, and Probability Practice Questions Directions: You MAY use your calculator. Questions 1 and refer to the following graph. Number of Planes Ordered National Aircraft Orders for New Planes Year 1. The mean number of aircraft orders for the six years shown on the graph is 573 planes. In which year was the number of orders closest to the mean? A C. 008 D By about what percent did orders at National Aircraft decrease from 008 to 009? A. 30% 40% C. 68% D. 75% 3. At a convention, Jim and his three friends each bought three raffle tickets. At the time of the drawing, 400 tickets had been sold. What is the probability that either Jim or one of his friends will win? 3 A C D Questions 4 through 6 are based on the following table. Area Southland Weather March 9 High Temp. Low Temp. Precipitation (in inches) Downtown 65 F 53 F 0.45 Airport 6 F 50 F 0.63 Woodland Hills 68 F 50 F 1.34 East Village 56 F 48 F 3.53 Ventura 6 F 49 F.57 Highland Park 64 F 55 F Based on the data in the table, what was the median low temperature for March 9? A C D What was the mean amount of precipitation (in inches) on March 9 for the areas listed in the table? A C D For which area on the table was there the greatest range, or difference, between the high and low temperatures? A. Ventura East Village C. Woodland Hills D. Downtown Mathematical Reasoning _GED-Math_a.indd 309 9/08/16 4:33 PM

2 Questions 7 and 8 refer to the graph. Ticket Sales (in thousands) Platinum Cinemas Ticket Sales Years from 001 to Platinum Cinemas opened its first theaters in 001. The company s ticket sales increased steadily until what year, when there was a drop in sales? A C. 008 D Which year had the sharpest increase in ticket sales over the previous year? A C. 008 D At Nelson Stationers, the first 5 customers who visited the store on Monday morning received their choice of a gift. The table below shows how many customers chose each gift. 10. A standard deck of playing cards has 5 cards, with 13 cards each of hearts, diamonds, clubs, and spades. If a card is drawn randomly from the deck, what is the probability that it will be either hearts or diamonds? A. 1 in 1 in 4 C. 1 in 8 D. 1 in Nita worked the following overtime hours over a six-week period. Week 1: 5 hours Week : 3 1 hours Week 3: 4 hours Week 4: 0 hours Week 5: 1 1 hours Week 6: 7 hours What is the mean number of overtime hours Nita worked each week? 1. A spinner has five equal sections, and they are numbered from 1 to 5. What is the probability of spinning a number greater than 3? (Express the answer as a fraction.) pen and pencil set calculator mouse pad l l l l l l l l l l l l l What percent of the customers chose a mouse pad? A. 17% 5% C. 3% D % 310 Data, Statistics, and Probability 03_GED-Math_a.indd 310 9/08/16 4:33 PM

3 Questions 13 through 15 refer to the following graph. Questions 16 through 18 refer to the following graph. In a recent election, five candidates ran for the city council seat from District 11. The results of the race are shown in the graph below. City Council Election Results Grace Reiner 9% Scott Kang 14% Barbara Utley 35% Number of Orders 6,000 5,000 4,000 3,000,000 1,000 Comparison of Online Orders Company A Company B Amos Lee 18% John Bowen 4% 13. The three city council candidates who received the fewest votes received what percent of the total vote? A. 3% 41% C. 56% D. 77% 14. Which two candidates combined received about 3 of the votes cast? 5 A. Reiner and Utley Kang and Utley C. Bowen and Utley D. Lee and Bowen 15. If 5100 votes were cast in the election, which of the following expressions could be used to find out how many votes Grace Reiner received? A C D Jan Feb Mar April Months May June 16. In which month did Company A and Company B receive about the same number of online orders? A. February March C. April D. May 17. Based on the trends shown by the data, what would be the best prediction for the number of online orders in July for Company A? A C. 500 D About 18% of the online orders in April at Company A are returned for credit or exchange. How many orders at Company A were returned for credit or exchange in the month of April? A C. 540 D. 600 Mathematical Reasoning _GED-Math_a.indd 311 9/08/16 4:33 PM

4 Questions 19 and 0 are based on the following information. A basketball player s statistics for an eight-game series are shown in the table below. Game Shots Attempted Shots Made What was the median number of shots attempted by this player in the series? A C. 5 D What is the mode of the shots made by this player during the series? A C. 10 and 1 D A bag contains 4 marbles. Eight are red, six are blue, and ten are white. A marble is drawn from the bag and replaced. A second marble is chosen at random from the bag. What is the probability that the first marble is red and the second is white? A C D. 48. A company has 36 employees. For three months, the owner has kept track of the number of sick days used by her employees per month. Month Sick Days Sept. 34 Oct. 31 Nov. 4 Which expression could be used to find the average number of sick days taken each month? A C. 4 D. ( ) 3 For questions 3 through 7, write your answers on the lines provided. 3. Andy rolls two standard six-sided dice. What is the probability of rolling two 1s? Express your answer as a fraction. 4. Kate drove 158 miles on Monday, 76 miles on Tuesday, 54 miles on Wednesday, 305 miles on Thursday, and 10 miles on Friday. In miles, what was the median distance she drove for the five days? 5. Angelique, a teacher, is making a reading list for her students. She wants to include one historical novel, one work of science fiction, one book of poetry, and one graphic novel. She has five of each type of book to choose from. How many possible combinations of books could she include in her reading list? 6. There are four children in Mr. Martin s class. Three of them will be selected to be hall monitors. How many combinations of hall monitors are possible? 31 Data, Statistics, and Probability 03_GED-Math_a.indd 31 9/08/16 4:33 PM

5 7. A charity s board has ten members. One of the members will be elected president, then another will be elected treasurer, and then a third will be elected secretary. If no member can hold more than one position, how many ways can the members fill those positions? Questions 8 and 9 are based on the following information. The frequency table below displays the reasons why patients visited a walk-in clinic during a certain week. Reason Colds and Flu Cuts and Scrapes Sprained Muscles Tetanus Shots Severe Headaches Number of Patients l l l l l l l l l l l l l l 8. What percent of the patients represented in the table visited the walk-in clinic because of sprained muscles? 9. In the week represented in the table, what was the ratio of the number of patients with colds or flu to the number of patients with severe headaches? A. 4:15 4:3 C. 3:4 D. 1:5 l l l l Questions 30 and 31 are based on the following information and graph. A hundred people are participating in a medical study. As a first step, the researchers collected information about participants weight. The graph below represents how many people fell into each weight category. Number of participants Weight of Participants Pounds Which weight category displays the highest frequency? A lbs lbs C lbs D lbs Mathematical Reasoning _GED-Math_a.indd 313 9/08/16 4:33 PM

6 Algebra Basics, Expressions, and Polynomials Practice Questions 4. If there are 4x identical schools in a region and each school has 3y classrooms each with 7x desks, how many desks are there in the region? A. 11x + 3y 8x + 3y C. 84xy D. 84x y 5. Which of the following is equivalent to x 5? A. xx ( 5) ( x 5) C. ( x + 5)( x 5) D. ( x 5) 9. Multiply 7 c ( a + 5b+ 7c ). A. 7ac bc + 49c 7(ac) + 35(bc) + 49c 4 4 C. 7a + 35b+ 49c D. a + 5b+ 14c 11. Simplify the expression ( a 4)( 6 b). (3 b )( a+ 4)( a 4) A. a 4 a + 4 a + 4 a 4 C. a D Which of the following would be equal to x + 6 z multiplied by y 4z if x =, y = 4, and z = 3? 15. What is the value of the following expression? 3 4 [3(1 +)] 6+ 5(4) If every member of a team is paid 5p dollars for his or her participation, and Team Alpha has 6k members, Team Beta has 4p members, and Team Delta has 9h members, which of the following represents the total amount paid to the members of all three teams? A. 1080hkp 1080hkp C. 10pk+ 45ph D. 30kp + 0p + 45hp 17. Which of the following is equal to 7 x [(5y)x 9y + 8x]? 19. A. x 9y + 10xy 3x 4y C. x + 9y 10xy D. 15x 9y + 10xy 56x + 49x y 84x 7x Divide 7x 3 A. 8x + 7xy 1x x + 7x y 1x 3 x 4 3 C. 8x + 7y 5x D. 49x + 4xy 77x Divide x 4 4 y + 4x y 8x. y 4 x 4x 1 A. + x y y y. A C. 0 D Algebra Basics, Expressions, and Polynomials C. D. x x y 4x + y 1 y 4 x y + 8x y 16x 4 y + y x 4 4x y + x y 1 03_GED-Math_b.indd 348 9/08/16 3:49 PM

7 Equations, Inequalities, and Functions Practice Questions Directions: You MAY use your calculator. 14. What is the next number in the sequence? 1, 7, 14,,... A C. 3 D Which of the following shows the product of 7 and x decreased by the sum of 8 and y? A. 7 x ( 8 + y) 7x 8+ y C. (8 + y) 7x D. (7 + x) ( 8 + y) 18. What are the possible solutions for the quadratic equation x 5x = 4? A. 8 and 3 6 and 4 C. 8 and 3 D. 4 and 6 5. What is the solution set of the inequality 7x 4 x 8 A. x 3 x 3 C. x 3 D. x 4 9. Marcia counts the $5 bills and $10 bills in her cash register drawer. She counts a total of 35 bills with a total value of $40. If x = th the number of $5 bills in the drawer, which of the following equations could be used to find the number of $5 bills in the drawer? A. $5 x + $10x =35 $5 x + $10x +35 = $40 C. $5(35 x) +$10x = $40 D. $5 x + $10(35 x)= $ The sum of five consecutive numbers is 370. What is the fourth number in the sequence? A C. 75 D A baseball pitcher s earned run average (E) is a function of the number of earned runs (r) given up and innings pitched (i). The function 9r is written E =. What is the earned run i average of a pitcher who gives up 8 runs in 18 innings? 7. In a recent election, Perez got 551 more votes than 1 of the leading candidate s 3 votes. Together the two candidates received 18,07 votes. How many people voted for Perez? A. 6,04 8,65 C. 9,40 D. 1, What is the value of x in the equation 4( x+) 10 =5 x? A. x = 18 x = C. x = D. x = Equations, Inequalities, and Functions 03_GED-Math_b.indd 384 9/08/16 3:51 PM