Mathematics Assessment Pt. 2 Welcome, You are about to take up the Mathematics Assessment Pt. 2 Assessment. Please take note of the following before you take the assessment. This assessment is timed for 120 Mins and auto submit. Scores and correct answer will be displayed after taking up the assessment. You can only take the assessment twice so make sure you have a strong internet connection. All questions are required to have an answer. This assessment is composed of 100 items multiple choice type of question. Always remember: THINK, CHECK AND SUBMIT. If you have any concern, please feel free to contact us. E-mail Address: assessment@flightwingsaviation.com Facebook Page: www.facebook.com/flightwingsaviation GOODLUCK! Email Adress LMS USERNAME FULL NAME CLASS SECTION/SCHEDULE (FRI-AM, FRI-PM, SAT-AM, SAT-PM, SUN-AM, SUN-PM) 1. A B C D None 2. The difference of a number and 8 is the same as 34 less the number. Find the number. a) 21b) -13c) -21d) 13 A B C D None 3. The population of a town is currently 22,000. This represents an increase of 80% from the population 5 years ago. Find the population of the town 5 years ago. Round to the nearest whole number if necessary. a) 12,222b) 4,400c) 17,600d) 27,500 A B C D None 4. The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p = 34.0t + 646 where t is the number of years since 1990. Solve this equation for t and use the new equation to determine approximately what year it will be when the average price of a studio in this city reaches $1326.00. a) 2012b) 2013c) 2010d) 2011 A B C D None 5. A B C D None 6. A B C D None 7. A B C D None 8. Find the values of x such that the given function has the stated value. f(x)=x^2+8x; f(x) = 48. a) x=12 or x=4b) x=-12 or x=4c) x=12 or x=-4d) x=-12 or x=1 A B C D None 9. A B C D None 10. A B C D None 11. A B C D None 12. A B C D None 13. A B C D None 14. An object that is projected straight downward with initial velocity v feet per second travels a distance s=vt+16t^2, where t = time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground? a) 2 secb) 3 secc) 6 secd) 8 sec A B C D None 15. The height of a triangle is 4 inches greater than twice its base. The area of the triangle is 168 square inches. What is the base of the triangle? a) 7 inb) 8 inc) 12 ind) 14 in A B C D None 16. Bonnie has twice as many cousins as Robert. George has 5 cousins, which is 11 less than Bonnie has. How many cousins does Robert have? a) 17b) 21c) 4d) 8 A B C D None 17. The low temperature in Anchorage, Alaska today was −4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures? a) 59°b) 67°c) 57°d) 14° A B C D None 18. The Robin’s Nest Nursing Home had a fundraising goal of 9,500 dollars. By the end of the fundraiser, they had exceeded their goal by 2,100 dollars. How much did they raise? a) 7,400b) 13,600c) 10,600d) 11,600 A B C D None 19. Jason made 10 two-point baskets and 2 three-point baskets in Friday’s basketball game. He did not score any other points. How many points did he score? a) 22b) 12c) 24d) 26 A B C D None 20. Jeff left Hartford at 2:15 P.M. and arrived in Boston at 4:45 P.M. How long did the drive take him? a) 2.5 hoursb) 2.3 hoursc) 3.25 hoursd) 2.75 hours A B C D None 21. Shane rolls a die numbered 1 through 6. What is the probability Shane rolls a 5? a) 5/6b) 1/6c) 1/5d) 1/2 A B C D None 22. Lori ran 5 1/2 miles Monday, 6 1/4 miles Tuesday, 4 1/2 miles Wednesday, and 2 3/4 miles on Thursday. What is the average number of miles Lori ran? a) 5b) 4 1/2c) 4d) 4 3/4 A B C D None 23. The painting crew has 54 2/3 miles of center lines to paint on the highway. If they have completed 23 1/5 miles, how many miles do they have to go? a) 31 7/15b) 31 13/15c) 21 4/15d) 31 1/2 A B C D None 24. Darma traveled 12 hours to visit her grandmother; she spent 5/6 of her travel time on the highway. How many hours were not spent on the highway? a) 3 hoursb) 4 1/3 hoursc) 1 1/6 hoursd) 2 hours A B C D None 25. The Grecos are taking an 8 3/4 mile walk. If they walk at an average speed of 3 1/2 miles per hour, how long will it take them? a) 2 2/3 hoursb) 30 1/8 hoursc) 2 1/2 hoursd) 5 hours A B C D None 26. A rectangular garden is 4 1/2 yards by 3 yards. How many yards of fence are needed to surround the garden? a) 16 1/2b) 7 1/2c) 15d) 14 A B C D None 27. The soccer team is making pizzas for a fundraiser. They put 1/3 of a package of cheese on each pizza. If they have 12 packages of cheese, how many pizzas can they make? a) 36b) 4c) 24d) 27 A B C D None 28. Round 14.851 to the nearest tenth. a) 14.85b) 10c) 14.9d) 15 A B C D None 29. Kara brought 23 dollars with her when she went shopping. She spent 3.27 dollars for lunch and 14.98 dollars on a shirt. How much money does she have left? a) 8.02b) 4.75c) 18.25d) 7.38 A B C D None 30. Linda bought 35 yards of fencing at 4.88 dollars a yard. How much did she spend? a) 298.04b) 248.80c) 91.04d) 170.80 A B C D None 31. Tammi’s new printer can print 13.5 pages a minute. How many pages can it print in 4 minutes? a) 52b) 48c) 64d) 54 A B C D None 32. The price of gasoline is 1.349 cents per gallon. If the price increases by three tenths of a cent, what will the price of gasoline be? a) 1.649b) 1.352c) 1.449d) 1.379 A B C D None 33. Louise is estimating the cost of the groceries in her cart. She rounds the cost of each item to the nearest dollar to make her calculations. If an item costs 1.45 dollars, to what amount will Louise round the item? a) 1.00b) 1.50c) 2.00d) 1.40 A B C D None 34. Brian is a real estate agent. He makes a 2.5% commission on each sale. During the month of June he sold three houses. The houses sold for 153,000 dollars, 299,000 dollars, and 121,000 dollars. What was Brian’s total commission on these three sales? a) 143,250b) 11,460c) 3,825d) 14,325 A B C D None 35. Cory purchased a frying pan that was on sale for 30% off. She saved 3.75 dollars with the sale. What was the original price of the frying pan? a) 10.90b) 9.25c) 12.50d) 11.25 A B C D None 36. Peter purchased 14 new baseball cards for his collection. This increased the size of his collection by 35%. How many baseball cards does Peter now have? a) 5b) 54c) 40d) 34 A B C D None 37. Joey has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read before he takes a break? a) 7b) 21c) 9d) 18 A B C D None 38. Julie had 500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? a) 225b) 300c) 200d) 250 A B C D None 39. Nick paid 68.25 for a coat, including sales tax of 5%. What was the original price of the coat before tax? a) 63.25b) 65.25c) 65.00d) 64.84 A B C D None 40. A racquetball court is 40 ft by 20 ft. What is the area of the court in square feet? a) 60 ft²b) 80 ft²c) 800 ft²d) 120 ft² A B C D None 41. Allan has been hired to mow the school soccer field, which is 180 ft wide by 330 ft long. If his mower mows strips that are 2 feet wide, how many times must he mow across the width of the lawn? a) 90b) 165c) 255d) 60 A B C D None 42. Erin is painting a bathroom with four walls each measuring 8 ft by 5.5 ft. Ignoring the doors or windows, what is the area to be painted? a) 176 ft²b) 88 ft² c) 54 ft² d) 160 ft² A B C D None 43. The arm of a ceiling fan measures a length of 25 in. What is the area covered by the motion of the fan blades when turned on? (π= 3.14) a) 246.49 in²b) 78.5 in²c) 1,962.5 in²d) 157 in² A B C D None 44. A circular pool is filling with water. Assuming the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water needed to fill the pool? (π= 3.14) a) 251.2 ft³b) 1,256 ft³c) 5,024 ft³d) 3,140 ft³ A B C D None 45. A cable is attached to a pole 24 ft above ground and fastened to a stake 10 ft from the base of the pole. In order to keep the pole perpendicular to the ground, how long is the cable? a) 22 ftb) 26 ftc) 20 ftd) 18 ft A B C D None 46. Find an equivalent algebraic expression for the composition: cot (arctan (x)). a) √xb) 1/xc) 1/x²d) X A B C D None 47. Solve for b, c, and β. a) β = 37.2 deg, b = 355.7, c = 287.6b) β = 36.8 deg, b = 285, c = 355.7c) β = 37.2 deg, b = 29.7, c = 24.1d) β = 37.2 deg, b = 287.6, c = 355.7 A B C D None 48. Find the area of the region. a) 25.02 sq. ft.b) 6.26 sq. ft.c) 12.51 sq. ft.d) 14.69 sq. ft. A B C D None 49. Find the area of the triangle. a) 2.33b) 8.69c) 101.42d) 34.77 A B C D None 50. The vectors u, v, and w are drawn. Sketch the specified vector if u+v. A B C D None 51. The vectors u, v, and w are drawn. Sketch the specified vector if v+w. A B C D None 52. A satellite orbiting Earth 340 km above the surface makes one complete revolution every 90 minutes. The radius of Earth is approximately 6370 km. The angular speed of the satellite is: A B C D None 53. Justin earned scores of 85, 92, and 95 on his science tests. What does he need to earn on his next science test to have an average (arithmetic mean) of 93%? a) 93b) 100c) 85d) 96 A B C D None 54. If secα = 5/4 and sinα < 0, then cotα is equivalent to: a) Cotα = -4/3b) Cotα = -3/4c) Cotα = 3/4d) Cotα = 4/3 A B C D None 55. Which of the following expressions is equal to (x+2)+(x-2)(2x+1)? a) 2x² - 2xb) 2x² - 4xc) 2x² + 2xd) 4x² + 2x A B C D None 56. Which is a factor of x^2-11x+24? a) X+3b) X-3c) X+4d) x-4 A B C D None 57. What is the complete factorization of 32-8z^2? a) -8(2+z)(2-z)b) 8(2+z)(2-z)c) -8(2+z)²d) 8(2+z)² A B C D None 58. If x^2 is added to x, the sum is 42. Which of the following could be the value of x? a) –7b) –6c) 14d) 42 A B C D None 59. Which is the factored form of 3a^2 − 24ab + 48b^2 ? a) (3 a − 8 b)(a − 6 b)b) (3 a − 16b)(a − 3 b)c) 3( a − 4 b)(a − 4 b)d) 3( a − 8 b)(a − 8 b) A B C D None 60. The sum of two binomials is 5 x2 − 6 x. If one of the binomials is 3 x2 − 2 x, what is the other binomial? a) 2x² - 4xb) 2x² - 8xc) 8x² + 4xd) 8x² - 8x A B C D None 61. Evaluate (4 x^2 − 2 x + 8 )− ( x2 + 3 x− 2 ) = a) 3x² + +x 6b) 3x² + +x 10c) 3x² − 5 x + 6d) 3x² − 5 x + 10 A B C D None 62. Which of the following shows 9t^2 +12t + 4 factored completely? a) (3t + 2)²b) (3t + 4)(3t + 1)c) (9t + 4)(t + 1)d) 9t² + 12t + 4 A B C D None 63. Carter is solving this equation by factoring. 10 x^2 − 25 x + 15 = 0. Which expression could be one of his correct factors? a) x + 3b) x− 3c) 2x + 3d) 2x− 3 A B C D None 64. A volleyball court is shaped like a rectangle. It has a width of x meters and a length of 2x meters. Which expression gives the area of the court in square meters? a) 3xb) 2x²c) 3x²d) 2x³ A B C D None 65. A B C D None 66. Which of the following points does not exist on a unit circle? a) (-1,0)b) (-1/2 , √3/2)c) (0.5, 0.5)d) (0.6, 0.8) A B C D None 67. What is the arc length from point A to point B on the unit circle? a) 2π/3b) 5π/6c) 7π/6d) 3π/2 A B C D None 68. A B C D None 69. The exact value of sec(3π/2) is: a) -1b) -1/2c) 1d) Undefined A B C D None 70. The cost to rent a construction crane is 750 dollars per day plus 250 dollars per hour to use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed 2500 dollars per day? a) 2.5b) 3.7c) 7.0d) 13.0 A B C D None 71. Bonnie has twice as many cousins as Robert. George has 5 cousins, which is 11 less than Bonnie has. How many cousins does Robert have? a) 17b) 21c) 4d) 8 A B C D None 72. Jeff left Hartford at 2:15 P.M. and arrived in Boston at 4:45 P.M. How long did the drive take him? a) 2.5 hoursb) 2.3 hoursc) 3.25 hoursd) 2.75 hours A B C D None 73. Danny is a contestant on a TV game show. If he gets a question right, the points for that question are added to his score. If he gets a question wrong, the points for that question are subtracted from his score. Danny currently has 200 points. If he gets a 300-point question wrong, what will his score be a) -100b) 0c) -200d) 100 A B C D None 74. The Cheshire Senior Center is hosting a bingo night; 2,400 dollars in prize money will be given away. The first winner of the night will receive a third of the money. The next ten winners will receive a tenth of the remaining amount. How many dollars will each of the ten winners receive? a) 240b) 800c) 160d) 200 A B C D None 75. Jackie invested money in two different accounts, one of which earned 12% interest per year and another that earned 15% interest per year. The amount invested at 15% was 100 more than twice the amount at 12%. How much was invested at 12% if the total annual interest earned was 855 dollars? a) 4,100b) 2,100c) 2,000d) 4,000 A B C D None 76. Harold used a 3% iodine solution and a 20% iodine solution to make a 95-ounce solution that was 19% iodine. How many ounces of the 3% iodine solution did he use? a) 5b) 80c) 60d) 20 A B C D None 77. Bob is 2 years from being twice as old as Ellen. The sum of twice Bob’s age and three times Ellen’s age is 66. How old is Ellen? a) 15b) 10c) 18d) 20 A B C D None 78. The square of a number added to 25 equals 10 times the number. What is the number? a) -5b) 10c) -10d) 5 A B C D None 79. A photographer decides to reduce a picture she took in order to fit it into a certain frame. She needs the picture to be one-third of the area of the original. If the original picture was 4 inches by 6 inches, how many inches is the smaller dimension of the reduced picture if each dimension changes the same amount? a) 2b) 3c) 4d) 5 A B C D None 80. If Jim and Jerry work together they can finish a job in 4 hours. If working alone takes Jim 10 hours to finish the job, how many hours would it take Jerry to do the job alone? a) 16b) 5.6c) 6.7d) 6.0 A B C D None 81. How many degrees does a minute hand move in 20 minutes? a) 20 degb) 120 degc) 60 degd) 100 deg A B C D None 82. Which of the fractions below is greater than 1 1/2? a. 7/5b. 31/20c. 28/20d. 14/11 A B C D None 83. A bag contains 36 cookies. Kyle eats 8 of the cookies. What fraction of the cookies is left? a. 3/4b. 7/9c. 4/5d. 5/6 A B C D None 84. 3/8 of the employees in the Acme Insurance Company work in the accounting department. What fraction of the employees does NOT work in the accounting department? a. 10/16b. 5/16c. 3/4d. ½ A B C D None 85. Round 468.235 to the nearest hundredth. a. 500b. 568.235c. 468.24d. 468.2 A B C D None 86. Round 14.851 to the nearest tenth. a. 14.85b. 10c. 14.9d. 15 A B C D None 87. Write 3.5 × 104 in decimal notation. a. 3.50000b. 35,000c. 350,000d. 0.00035 A B C D None 88. Which of the following decimals is the greatest number? a. 0.064b. 0.007c. 0.1d. 0.04236 A B C D None 89. What is the smallest possible number that can be created with four decimal places using the numbers 3, 5, 6, and 8? a. 0.8653b. 0.3568c. 0.6538d. 0.5368 A B C D None 90. How will the decimal point move when 245.398 is multiplied by 100? a. It will move three places to the right.b. It will move three places to the left.c. It will move two places to the right.d. It will move two places to the left. A B C D None 91. If 967.234 is divided by 10, how will the decimal point move? a. It will move one place to the right.b. It will move one place to the left.c. It will move two places to the right.d. It will move two places to the left. A B C D None 92. A B C D None 93. A B C D None 94. A B C D None 95. A B C D None 96. A B C D None 97. A B C D None 98. A B C D None 99. A B C D None 100. A B C D None 1 out of 10