Pretest: GED Mathematics Directions: Read each of the questions below carefully and determine the best answer. To practice the timing of the GED exam, please allow 18 minutes for this pretest. Record your answers on the answer sheet provided here and the answer grids for questions 9 and 10. Note: On the GED, you are not permitted to write in the test booklet. Make any notes or calculations on a sep- arate piece of paper. 1. On five successive days, a motorcyclist listed his mileage as follows: 135, 162, 98, 117, 216. If his motorcycle averages 14 miles for each gallon of gas used, how many gallons of gas did he use during these five days? a. 42 b. 52 c. 115 d. 147 e. 153 2. Bugsy has a piece of wood 9 feet 8 inches long. He wishes to cut it into 4 equal lengths. How far from the edge should he make the first cut? a. 2.5 ft. b. 2 ft 5 in. c. 2.9 ft. d. 29 ft. e. 116 in. Question 3 is based on the following figure. 3. What is the perimeter of the figure? a. 8a + 5b b. 9a + 7b c. 7a + 5b d. 6a + 6b e. 8a + 6b 4. Jossie has $5 more than Siobhan, and Siobhan has $3 less than Michael. If Michael has $30, how much money does Jossie have? a. $30 b. $27 c. $32 d. $36 e. Not enough information is given. 3a + b 3a + 2b 2a + b a + 3b – THE GED MATHEMATICS EXAM– 380 1. abcde 2. abcde 3. abcde 4. abcde 5. abcde 6. abcde 7. abcde 8. abcde ANSWER SHEET Questions 5 and 6 are based on the following graph. 5. The number of persons engaged in Food Service in the city during this period was a. 900. b. 9,000. c. 14,400. d. 36,000. e. 90,000. 6. If the number of persons in trade and finance is represented by M, then the approximate number in manufacturing is represented as a. ᎏ M 5 ᎏ b. M + 3 c. 30M d. ᎏ 4 3 M ᎏ e. Not enough information is given. Question 7 is based on the following figure. 7. In the figure AB | | CD , CE bisects ∠BCD, and m∠ABC = 112°. Find m∠ECD. a. 45° b. 50° c. 56° d. 60° e. Not enough information is given. 8. Mr. DeLandro earns $12 per hour. One week, Mr. DeLandro worked 42 hours; the following week, he worked 37 hours. Which of the following indicates the number of dollars Mr. DeLandro earned for 2 weeks? a. 12 × 2 + 37 b. 12 × 42 + 42 × 37 c. 12 × 37 + 42 d. 12 + 42 × 37 e. 12(42 + 37) 9. What is the slope of the line that passes through points A and B on the coordinate graph below? Mark your answer in the circles in the grid below. 1 2 3 4 5 6 7 8 9 • 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • y 5 4 3 x 2 1 −5 −4 −3 −2 −1 12345 A (1,3) B (3,5) −2 −1 −3 −4 −5 A B C D E Personal Service 12% Professional 8% Food Service 5% All Others 17% Trade and Finance 25% Manufacturing 33% There are 180,000 employees total. – THE GED MATHEMATICS EXAM– 381 10. What is the value of the expression 3(2x − y) + (3 + x) 2 , when x = 4 and y = 5? Mark your answer in the circles on the grid below. Pretest Answers and Explanations 1. b. First, find the total mileage; 135 + 162 + 98 + 117 + 216 = 728 miles. Divide the total mileage (728) by the number of miles covered for each gallon of gas used (14) to find the number of gallons of gas needed; 728 ÷ 14 = 52 gallons. 2. b. 1 ft. = 12 in. 9 ft. 8 in. = 9 × 12 + 8 = 116 in.; 116 ÷ 4 = 29 in. = 2 ft. 5 in. 3. b. To find the perimeter of the figure, find the sum of the lengths of the four sides: 2a + b + a + 3b + 3a + b + 3a + 2b = 9b + 7b. 4. c. Michael has $30. Siobhan has $30 − $3 = $27. Jossie has $27 + $5 = $32. 5. b. To find 5% of a number, multiply the number by .05: 180,000 × .05 = 9,000. There are 9,000 food service workers in the city. 6. d. M = number of persons in trade and finance. Since M = 25% of the total, 4M = total number of city workers. Number of persons in manufac- turing = = ᎏ 4 3 M ᎏ . total number of workers ᎏᎏᎏ 3 Personal Service 12% Professional 8% Food Service 5% All Others 17% Trade and Finance 25% Manufacturing 33% There are 180,000 employees total. 3a + b 3a + 2b 2a + b a + 3b 1 2 3 4 5 6 7 8 9 • 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • – THE GED MATHEMATICS EXAM– 382 7. c. Since pairs of alternate interior angles of parallel lines have equal measures, m∠BCD = m∠ABC. Thus, m∠BCD = 112°. m∠ECD = ᎏ 1 2 ᎏ m∠BCD = ᎏ 1 2 ᎏ (112) = 56° 8. e. In two weeks, Mr. Delandro worked a total of (42 + 37) hours and earned $12 for each hour. Therefore, the total number of dollars he earned was 12(42 + 37). 9.1. The coordinates of point A are (1,3). The coordinates of point B are (3,5). Use the slope formula: ᎏ x y 2 2 − − y x 1 1 ᎏ Substitute and solve: ᎏ 5 3 − − 3 1 ᎏ = ᎏ 2 2 ᎏ ,or ᎏ 1 1 ᎏ = 1 1 2 3 4 5 6 7 8 9 • 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 2 3 4 5 6 7 8 9 0 • 1 y 5 4 3 x 2 1 −5 −4 −3 −2 −1 12345 A (1,3) B (3,5) −2 −1 −3 −4 −5 A B C D E – THE GED MATHEMATICS EXAM– 383 10. 58. 3(2x − y) + (3 + x) 2 , x = 4 and y = 5. 3(2 × 4 − 5) + (3 + 4) 2 = 3(8 − 5) + (7) 2 = 3(3) + 49 = 9 + 49 = 58. Pretest Assessment How did you do on the math pretest? If you answered seven or more questions correctly, you have earned the equivalent of a passing score on the GED Mathematics Test. But remember that this pretest covers only a frac- tion of the material you might face on the GED exam. It is not designed to give you an accurate measure of how you would do on the actual test. Rather, it is designed to help you determine where to focus your study efforts. For success on the GED, review all of the chapters in this section thoroughly. Focus on the sections that corre- spond to the pretest questions you answered incorrectly. 1 2 3 4 5 6 7 8 9 • 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 6 7 8 9 0 • / 1 2 3 4 5 6 7 9 0 • 58 – THE GED MATHEMATICS EXAM– 384 What to Expect on the GED Mathematics Exam The GED Mathematics Exam measures your understanding of the mathematical knowledge needed in everyday life. The questions are based on information presented in words, diagrams, charts, graphs, and pictures. In addi- tion to testing your math skills, you will also be asked to demonstrate your problem-solving skills. Examples of some of the skills needed for the mathematical portion of the GED are: ■ understanding the question ■ organizing data and identifying important information ■ selecting problem-solving strategies ■ knowing when to use appropriate mathematical operations ■ setting up problems and estimating ■ computing the exact, correct answer ■ reflecting on the problem to ensure the answer you choose is reasonable This section will give you lots of practice in the basic math skills that you use every day as well as crucial problem-solving strategies. CHAPTER About the GED Mathematics Exam IN THIS chapter, you will learn all about the GED Mathematics Exam, including the number and type of questions, the topics and skills that will be tested, guidelines for the use of calculators, and recent changes in the test. 40 385 . total. 3a + b 3a + 2b 2a + b a + 3b 1 2 3 4 5 6 7 8 9 • 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • – THE GED MATHEMATICS EXAM– 382 7. c. Since. solve: ᎏ 5 3 − − 3 1 ᎏ = ᎏ 2 2 ᎏ ,or ᎏ 1 1 ᎏ = 1 1 2 3 4 5 6 7 8 9 • 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 2 3 4 5 6 7 8 9 0 • 1 y 5 4 3 x 2 1 −5 −4 −3 −2 −1 12345 A (1,3) B. questions you answered incorrectly. 1 2 3 4 5 6 7 8 9 • 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 5 6 7 8 9 0 • / 1 2 3 4 6 7 8 9 0 • / 1 2 3 4 5 6 7 9 0 • 58 – THE GED MATHEMATICS EXAM– 384 What to Expect