CHANCE Program Admissions Mathematics Practice Test Part One will test your background in basic arithmetic, while Part Two will cover basic algebra. Each part of the test has 30 questions and has been designed to take approximately half an hour, so the total time you spend on the test should be about an hour. Do not use a calculator on any part of the test. Calculators are not permitted during the CHANCE interview mathematics admission test so if you were to use one during this practice test you will not fully gauge your arithmetic skills. Some characters in this test do not translate well on some internet browsers. In this test, \/28 should be interpreted as the square root of 28 and x 2 should read x to the second power. If your browser does not interpret these appropriately feel free to send an email to chance@niu.edu or call 1-800-892-3050 for a hard copy of the test. Part One: Arithmetic 1. 1996 + 28 + 643 = 1667 2557 2667 8344 8454 2. 864-77 = 94 787 796 896 897
3. 28 x 17 = 45 376 468 476 484 4. 2406 / 6 = 40 41 401 410 411 5. 1/4 + 2/3 = 3/7 8/3 3/4 5/6 11/12 6. An airplane is flying at an altitude of 7,425 feet. If the plane goes up 450 feet, what is the new altitude? 6,975 7,875 7,975 8,975 11,925 7. Which of the following represents fifty thousand two hundred and seven? 527 5207 5270 50207 52007 8. Find 6 divided by 5/7. 5/42 7/30 30/7 37/5 42/5
9. A job pays $6 per hour for the first 40 hours per week, and $9 per hour for overtime. If you work 46 hours a week, what will you earn? $276 $294 $303 $396 $414 10. Which fraction is less than 3/5? 2/3 3/2 3/4 5/3 7/12 11. An airplane traveling from L.A. to New York is carrying 326 passengers. It stops at Chicago, where 78 passengers get off and 93 new passengers get on. How many passengers continue on to New York? 233 248 341 404 419 12. When the number 66,340 is divided by 62, the answer is 1700 1070 107 170 17 13. A woman has an estate of $10,000. She leaves 1/10 to charity. Her daughter gets 2/3 of the remainder. How much money does her daughter get? $6,667 $6,000 $3,000 $667 $600 14. When the number 71.07 is divided by 2.3, the answer is 30.9 39 3.9 3.7 3.09
15. A handicapped parking space is designed to measure 14 feet wide by 18 feet long. Find its area. 252 square feet 244 square feet 222 square feet 64 square feet 32 square feet 16. Write 65% as a fraction: 100/65 10/65 65/10 65/100 65/1000 17. When the fraction 14/27 is divided by 2/3, the answer is 28/81 28/27 14/81 7/18 7/9 18. 35% of 160 is 56 560 5600 5.6.56 19. 9 1/3-4 5/6 = (nine and one third minus four and five sixths) 5 2/3 5 4/9 5 1/2 4 1/2 4 4/9 20. 6.431 x 0.01 = 0.06431 0.6431 6.431 64.31 643.1
21. 15.7 x 4.09 = 64213 642.13 64.213 76.93 7693 22. Which one of these numbers is smallest? 27.799 27.51 27.8 27.503 27.53 23. 12 x 3 1/4 = (twelve times three and one quarter) 39 40 36 48 84 24. Find the average (arithmetic mean) of these numbers: 6.2, 6.7, 12.3 25.2 12.6 9.6 8.4 6.3 25. The number 8 is 20% of what number? 160 16 1.6 4 40 26. Rounding 12.5362 to the nearest hundredth gives 12.54 12.53 12.536 12.537 12.5362
27. Write 5/8 as a decimal: 6.25 0.625 0.0625 0.375 3.75 28. A car dealer is offering 15% off on all vehicles. If the original cost of a car is $16,000, what is its sale price? $18,400 $18,000 $14,500 $14,000 $13,600 29. 18 is what percent of 45? 45% 40% 28% 20% 18% 30. A theater owner wants to be able to seat 1250 people. The main floor has 30 rows of 25 seats each. If the balcony has 25 rows, how many seats must be in each row? 40 30 25 20 15 End of Part One
Part Two: Basic Algebra 31. -1 + (-2) = -3-1 1 2 3 32. 12 - (-9) = -21-17 3 17 21 33. 3 + 2 x 2-5 = -15-5 2 5 7 34. (-2) 3 = -8-6 -5 5 8 35. Choose the largest of the following numbers: -6-3/2 16/3 9/2 5
36. (1/3)(-18)(-6) = -36-12 12 24 36 37. \/ 28 = 4 \/ 7 2 \/ 7 7 \/ 2 14 \/ 2 14 38. Solve for x: 3x + 1 = 6 x = 3/7 x = 7/3 x = 3/5 x = 5/3 x = 2 39. 4x - a - 2x + a = 6x 2x 2x - 2a 6x - 2a 2a - 6x 40. If x = 3, then (x-1) 2 + 1 = -3 2 5 10 17 41. Solve for x: 2x - 3 = 5x + 4 x = -7/3 x = -3/7 x = 1/7 x = 1/3 x = 3/7
42. The statement x is 2 more than y is written as: x + 2 = y x = 2 + y x + y = 2 x + 2 > y x > 2 + y 43. 4x 2 - y 2 = (2x - y) 2 (2x + y) 2 (4x - y) 2 (2x - y) (2x + y) (4x - y) (4x + y) 44. If it costs $.25 per mile to drive a car, how much will it cost (in dollars) to drive d miles? d -. 25 d +. 25 d /. 25. 25 d. 25 / d 45. (x 2 y 3 )(x y)(x 4 y) = x 8 y 5 x 7 y 5 x 8 y 3 x 7 y 3 x 6 y 3 46. A box with a square base has a volume of 16 cubic feet. If the base of the box measures 2 feet by 2 feet, how tall is the box? 2 feet 4 feet 8 feet 32 feet 64 feet 47. x 6-3x 4 + x 2 = x 2 (x 4-3x 2 + 1) x 2 (x 4-3x 2 ) x 4 (x 2-3) x 2 (x 3-3x 2 + 1) x 2 (x 3-3x 2 )
16 48. \/(36 x ) = 6 x 4 18 x 4 6 x 8 18 x 8 20 x 49. If y = x - 2, and x = -3, then y = -6 y = -5 y = -1 y = 1 y = 5 50. The y-intercept of the line y - 3x = 2 is 5-3 3-2 2 51. The area of the base of a cube is 5 square inches. What is the surface area? 20 square inches 25 square inches 30 square inches 100 square inches 150 square inches 52. Solve for x: 3x > x + 12 x < 6 x < 3 x > 6 x > 4 x > 3 53. (x - 2y) 2 = x 2-4y 2 x 2-2y 2 x 2 + 4y 2 x 2 + 4xy + 4y 2 x 2-4xy + 4y 2
54. Which one of the following is a factor of x 2 + x - 12? x - 4 x - 2 x + 2 x + 4 x + 6 55. Which one of these points is not included in the graph of -2 < 2x - 3? 0 1 2 3 4 56. Solve for x: 3x + 7 < 12 x > 19/3 x > 4 x > 5/3 x < 5/3 x < 19/3 57. The graph of the line 2x + y = 6 has a positive slope has a negative slope is horizontal is vertical None of these 58. Which one of these points lies on the line x - 3y = 5? (-1, 2) (0, -2) (1, 2) (2, 1) (2, -1) 59. In a mixture of concrete, there are 3 pounds of cement mix for each pound of gravel. If the mixture contains a total of 200 pounds, which one of the following expressions gives the amount of gravel? 200-3x 200 - x x - 200 3x - 200 / 3 (200 - x) / 3
60. After the 1990 election, there were 14 more Democrats than Republicans in the U.S. Senate. Which one of the following equations can be used to find the number x of Democrats? x - 14 = 100 x + 14 = 100 x + 28 = 100 2x + 14 = 100 2x - 14 = 100 End of Part Two Back to the beginning of Part One Back to the beginning of Part Two Click here for answers Part One Click here for answers Part Two GENERAL INFORMATION ABOUT NIU THE NIU Department of Mathematical Sciences