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Math in a Nutshell

Math in a Nutshell. 1. .

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Math in a Nutshell

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  1. Math in a Nutshell

  2. 1. It takes a bus anywhere from 7 to 10 minutes to travel from town A to town B. It takes the bus anywhere from 16 to 24 minutes to travel from Town B to Town C. What re the least and greatest total travel times for a bus that travels from Town A to Town B and then from Town B to Town C. • 7 minutes and 24 minutes • 1o minutes and 24 minutes • 23 minutes and 26 minutes • 23 minutes and 34 minutes • 26 minutes and 40 minutes

  3. 1. It takes a bus anywhere from 7 to 10 minutes to travel from town A to town B. It takes the bus anywhere from 16 to 24 minutes to travel from Town B to Town C. What re the least and greatest total travel times for a bus that travels from Town A to Town B and then from Town B to Town C. • 7 minutes and 24 minutes • 1o minutes and 24 minutes • 23 minutes and 26 minutes • 23 minutes and 34 minutes • 26 minutes and 40 minutes

  4. 2. By what number must the number 3.475817 be multiplied in order to obtain the number 34,758.17? • 100 • 1,000 • 10,000 • 100,000 • 1,000,000

  5. 2. By what number must the number 3.475817 be multiplied in order to obtain the number 34,758.17? • 100 • 1,000 • 10,000 • 100,000 • 1,000,000

  6. 3. For a university class of 61 students, the table above shows the number of students receiving each grade on the mid-term exam. What is the median of those 61 scores? • 97 • 78 • 67 • 54 • 46

  7. 3. For a university class of 61 students, the table above shows the number of students receiving each grade on the mid-term exam. What is the median of those 61 scores? • 97 • 78 • 67 • 54 • 46

  8. 4. In the figure above, WX=XY=YZ=ZW=WY. What is the value of a + b? • 60 • 100 • 105 • 120 • 135

  9. 4. In the figure above, WX=XY=YZ=ZW=WY. What is the value of a + b? • 60 • 100 • 105 • 120 • 135

  10. 5. The Environment Club receives a certain number of money from the school to host a teach in. They budget 40% for a guest speaker, 25% for books, 20% for use of the auditorium, and the remainder for lunch. If the club plans to spend $90 on lunch for the participants, how much do they plan to spend on the guest speaker? • $40 • $90 • $120 • $240 • $600

  11. 5. The Environment Club receives a certain number of money from the school to host a teach in. They budget 40% for a guest speaker, 25% for books, 20% for use of the auditorium, and the remainder for lunch. If the club plans to spend $90 on lunch for the participants, how much do they plan to spend on the guest speaker? • $40 • $90 • $120 • $240 • $600

  12. 6. Which of the following statements expresses the statement “When z is decreased by 3, the result is twice the square of the sum of y and 4”? • z – 3 = 2(y + 4)2 • z – 3 = 2(y2 + 42) • z = 2(y + 4) 2 – 3 • z – 3 = 2(y2 + 4) • z + 3 = 2(y + 4) 2

  13. 6. Which of the following statements expresses the statement “When z is decreased by 3, the result is twice the square of the sum of y and 4”? • z – 3 = 2(y + 4)2 • z – 3 = 2(y2 + 42) • z = 2(y + 4) 2 – 3 • z – 3 = 2(y2 + 4) • z + 3 = 2(y + 4) 2

  14. 7. Line l passes through the point (-1, 2). Which of the following CANNOT be the equation of line l ? • y = 1 – x • y = x + 1 • x = -1 • y = x + 3 • y = 2

  15. 7. Line l passes through the point (-1, 2). Which of the following CANNOT be the equation of line l ? • y = 1 – x • y = x + 1 • x = -1 • y = x + 3 • y = 2

  16. 8. For all numbers c and d, the symbol # is defined by c # d=(c + 1)(d – 1). What is the value of (5 # 2) # (4 # 6)? • 35 • 72 • 108 • 110 • 140

  17. 8. For all numbers c and d, the symbol # is defined by c # d=(c + 1)(d – 1). What is the value of (5 # 2) # (6 # 4)? • 35 • 72 • 108 • 110 • 140

  18. 9. If and c=3, what is the value of ? • 1/3 • 1 • 3 • 9 • 27

  19. 9. If and c=3, what is the value of ? • 1/3 • 1 • 3 • 9 • 27

  20. 10. Note: Figure not drawn to scale. In the figure above, if h = 20, g = 4h, and f = 2g, what is the value of j? • 60 • 80 • 90 • 100 • 260

  21. 10. Note: Figure not drawn to scale. In the figure above, if h = 20, g = 4h, and f = 2g, what is the value of j? • 60 • 80 • 90 • 100 • 260

  22. 11. If x < 0 < y < 1, which of the following CANNOT be true? I. xy = -1/4 II. = -1 III. x + y > 1 • I only • II only • III only • I and II only • I, II, and III

  23. 11. If x < 0 < y < 1, which of the following CANNOT be true? I. xy = -1/4 II. = -1 III. x + y > 1 • I only • II only • III only • I and II only • I, II, and III

  24. Step 1: Select a number that is greater than 40 and less than 200 Step 2: Divide the number arrived in the previous step by 20 Step 3: Find the smallest integer that is greater than or equal to the number arrived at in the previous step. Step 4: Subtract 5 from the number arrived at in the previous step. Step 5: Print the number that results. 12. If 150 is the number chosen in step 1, then what number will be printed in step 5? • 2.5 • 3 • 7.5 • 8 • 70

  25. Step 1: Select a number that is greater than 40 and less than 200 Step 2: Divide the number arrived in the previous step by 20 Step 3: Find the smallest integer that is greater than or equal to the number arrived at in the previous step. Step 4: Subtract 5 from the number arrived at in the previous step. Step 5: Print the number that results. 12. If 150 is the number chosen in step 1, then what number will be printed in step 5? • 2.5 • 3 • 7.5 • 8 • 70

  26. 13. If a – b = 12 and = 10, then what is the value of b?

  27. 13. If a – b = 12 and = 10, then what is the value of b?

  28. 14. A telephone call costs $0.35 for the first 3 minutes and $0.07 for each additional minute. How many minutes long was a telephone call that cost $1.75?

  29. 14. A telephone call costs $0.35 for the first 3 minutes and $0.07 for each additional minute. How many minutes long was a telephone call that cost $1.75?

  30. 15. The points V, W, X, Y, and Z are located on a number line in that order. The length of VW is twice the length of WX, the length of WX is twice the length of XY, and the length of XY is twice the length of YZ. If the length of YZ=30, what is the length of WY?

  31. 15. The points V, W, X, Y, and Z are located on a number line in that order. The length of VW is twice the length of WX, the length of WX is twice the length of XY, and the length of XY is twice the length of YZ. If the length of YZ=30, what is the length of WY?

  32. 16. A store sells 12 different types of radios, 10 different types of television sets, and 5 different types of vacuum cleaners. How many different combinations of one radio, one television set, and one vacuum cleaner can a customer buy?

  33. 16. A store sells 12 different types of radios, 10 different types of television sets, and 5 different types of vacuum cleaners. How many different combinations of one radio, one television set, and one vacuum cleaner can a customer buy?

  34. 17. If day 6 of a 30 day month lies on a Wednesday, and the last Sunday of the month occurs on day n, what is the value of n?

  35. 17. If day 6 of a 30 day month lies on a Wednesday, and the last Sunday of the month occurs on day n, what is the value of n?

  36. 18. Which of the following is NOT a factor of 90? • 5 • 6 • 12 • 15 • 30

  37. 18. Which of the following is NOT a factor of 90? • 5 • 6 • 12 • 15 • 30

  38. 19. Note: Figure not drawn to scale. In the pentagon above, which of the following is the value of y? • 125 • 126 • 127 • 128 • 129

  39. 19. Note: Figure not drawn to scale. In the pentagon above, which of the following is the value of y? • 125 • 126 • 127 • 128 • 129

  40. 20. 40% of 200 people surveyed claimed their favorite fruit was the apple, while another 30% claimed their favorite fruit was the banana. If 35 people claimed their favorite fruit was the orange, how many more people claimed the apple was their favorite fruit than claimed the orange was their favorite fruit? • 5 • 10 • 25 • 35 • 45

  41. 20. 40% of 200 people surveyed claimed their favorite fruit was the apple, while another 30% claimed their favorite fruit was the banana. If 35 people claimed their favorite fruit was the orange, how many more people claimed the apple was their favorite fruit than claimed the orange was their favorite fruit? • 5 • 10 • 25 • 35 • 45

  42. 21. Mike, Sam, and Clay are going to sing at a school assembly. If they stand in a single row on the stage, how many possible arrangements of the three students are there? • 3 • 4 • 5 • 6 • 9

  43. 21. Mike, Sam and Clay are going to sing at a school assembly. If they stand in a single row on the stage, how many possible arrangements of the three students are there? • 3 • 4 • 5 • 6 • 9

  44. 22. If -5 < x < 5, which of the following MUST be true? • x2 > 5 • x3 > 3 • >5 • <5 • x 3> x2

  45. 22. If -5 < x < 5, which of the following MUST be true? • x2 > 5 • x3 > 3 • >5 • <5 • x 3> x2

  46. 23. The table above gives values of the function g(h) for selected values of h. If g(h) is a linear function, which of the following defines g(h)? • g(h)= 3h -4 • g(h)= 3h - 3 • g(h)= 2h -4 • g(h)= h - 4 • g(h)= h - 3

  47. 23. The table above gives values of the function g(h) for selected values of h. If g(h) is a linear function, which of the following defines g(h)? • g(h)= 3h -4 • g(h)= 3h - 3 • g(h)= 2h -4 • g(h)= h - 4 • g(h)= h - 3

  48. 24. The number line above shows a point with coordinate d. Which of the lettered points is closest to -3d? • V • W • X • Y • Z

  49. 24. The number line above shows a point with coordinate d. Which of the lettered points is closest to -3d? • V • W • X • Y • Z

  50. 25. If 4p2 = 36 and 36 > 5q, which of the following must be true? • p2 > 5q • p2 = 5q • 4p2 > 5q • 4p2 = 5q • 4p2 < 5q

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