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Name: ________________________ Class: ___________________ Date: __________ ID: A HSPE Proficiency Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the solution to the following inequality: 3x − 8 ≥ 13 5 a. x ≥ 18 b. x ≥ 15 c. x ≥ 7 d. x ≥ 3 5. Factor. x 2 − 64 a. (x − 1 ) (x + 64 ) b. (x − 4 ) (x + 16 ) c. (x − 8 ) (x + 8 ) d. (x − 8 ) 2. Brock borrows $ 2,000 from his father and repays the money after 2 years, plus 5% simple interest. How much interest does Brock pay on the loan? a. $100 b. $200 c. $1,000 d. $2,000 2 6. Use the functions below. f(x) = −2x g(x) = x 2 Which elements are in the range of f and also in the range of g? a. All real numbers b. All positive real numbers c. All negative real numbers d. No real numbers 3. Two linear equations are given below. Equation 1: 2x − y = 3 Equation 2: 4x + 3y = 21 For which equation is the point (3, 3) a solution? a. Equation 1 only b. Equation 2 only c. Both equations d. Neither equations 7. The figures shown below are constructed from toothpicks. 4. You buy a lawn mower for $280. You charge $20 to mow a lawn. How many lawns will you have to mow to pay for the lawn mower plus show a profit of $60? a. 3 lawns b. 11 lawns c. 14 lawns d. 17 lawns Which expression represents the number of toothpicks in Figure n? a. 3n b. n+6 c. 2n-1 d. 4n-1 8. The table below shows Jeremy’s monthly expenses. Monthly Expense Food and Clothing Housing and Utilities Percent of Monthly Income 22% 33% Transportation Health & Personal Care 13% 6% Savings Miscellaneous 9% 17% Jeremy earned $4,500 last month. How much did he pay for transportation? a. $163 b. $180 c. $346 d. $585 1 Name: ________________________ ID: A 12. Two jobs offer different pay packages. hJob A pays an annual salary of $38,000 plus a comission of 3% of sales. hJob B pays an annual salary of $43,000 plus a comission of 1% of sales. What system of equations would be used to find the amount of sales that makes the pay (P) for job A equal to job B? a. P = 38000 + 0.01s P = 43000 + 0.03s b. P = 38000 + 0.03s P = 43000 +0.01s c. s = 38000+ 43000 s = 43000+ 0.03P d. P = 38000 + 43000 s = 0.03 + 0.01 9. A polynomial is shown below. y = |x − 1 | − 2 What is the range of the function? a. y ≥ 0 b. y ≥ 2 c. y ≥ −1 d. y ≥ −2 10. A student scored 98, 84, and 90 on three exams this semester. What score does the student need to achieve on the last exam to have an overall mean of 88 on his exams? a. 80 b. 89 c. 90 d. 91 11. What property is demonstrated by (3 + 10x) + 4x = 3 + (10x + 4x) ? a. associative b. commutative c. distributive d. identity 13. Use the graph below. Which table represents the information shown in the graph? a. b. c. d. 2 Name: ________________________ ID: A 19. Daves windshield has a crack.He must decide who will fix it. Relevant information is listed below. hReplacing the windshield costs $200. hRepairing the crack costs $70. hIf he has the windshield repaired, the insurance company will pay half of the costs. hIf he has the windshield replaced by Glass Plus, he pays $25 plus 20% of the cost. His insurance pays the rest. hIf he has the windshield replaced by Mobile Glass, he must pay the full cost; insurance pays nothing. What is the least amount of money Dave must pay to get the windshield repaired or replaced? a. $35 b. $65 c. $100 d. $200 14. The graph of a function is shown below. What is the domain of the function? a. x = 1 or x = 4 b. x can be any real number c. y ≥ -1 d. y = 2 20. An equation is shown below. x 2 + 2x − 24 = 0 What is the solution set of the equation? a. {−4,6} b. {−6,4} c. {−12,2} d. {−2,12} 15. Use the table. The pattern in the table continues. What is the next column in the table? a. b. c. 21. Fred and Ethel are solving the system of linear equations shown below: ÔÏÔÔ 2x − 3y = 12 Ô ÌÔÔ ÔÓ −4x + 6y = −24 d. 16. An equation is shown below. pL R= A W hich is an equivalent equation solved for L? p pR A AR b. L = c. L = d. L = a. L = pR AR A p Fred found the solution to be the point (6,0). Ethel found the solution to be the point (0,-4). Which person has the correct solution to the system and why? a. Fred, because the point (6,0) lies on both lines. b. Ethel, because the point(0,-4) lies on both lines. c. Neither, because any two lines may only have one point in common. d. Neither, because they have found only two of the infinitely many points that lie on both lines. 17. Which equation has roots of -3 and 5? a. x 2 − 2x − 15 = 0 b. x 2 − 2x + 15 = 0 c. x 2 + 2x − 15 = 0 d. x 2 + 2x + 15 = 0 18. A system of linear equations is shown. ÏÔÔ ÔÔ y = 2x + 1 ÌÔÔ ÔÓ 2x − 3y = 5 22. A secretary types 56 words in a minute. Which proportion shows the approximate number of words 1 that she can type in hour? 2 56 x 56 x 56 x a. = b. = c. = 1 30 30 1 60 30 56 x d. = 60 1 What is the y-coordinate of the point of intersection? a. -5 b. -3 c. -2 d. 9 23. Which inequality is equivalent to || p + 5| ≤ 8? a. −13 ≤ p ≤ 3 b. −3 ≤ p ≤ 13 c. p ≤ −13 or p ≥ 3 d. p ≤ −3 or p ≥ 13 3 Name: ________________________ ID: A 31. A sequence is defined as follows: The nth term is three more than twice the square of n. What is the 7th term of the sequence? a. 5 b. 7 c. 101 d. 199 24. Use the sequence below. 1 1 1 5 1 5 25 125 What is the nth term in the sequence? n −2 n ÁÊ 1 ˜ˆ ÁÊ 1 ˜ˆ a. 5n b. 5 2n − 1 c. ÁÁÁÁ ˜˜˜˜ d. ÁÁÁÁ ˜˜˜˜ Ë5¯ Ë 5¯ 32. Which pair of equations represents perpendicular lines? ÏÔ ÔÔÔ 1 ÔÏÔÔ y = 5x + 7 ÔÔ ÔÔÔ y = 2 x + 2 Ô a. ÔÌ b. ÔÌ ÔÔ y = − 1 x + 3 ÔÔÔ 1 ÔÔÔ ÔÔÔ y = − x + 4 5 Ó 2 Ó ÔÏÔ ÔÔ y = 1 x + 2 ÏÔÔ ÔÔÔ ÔÔ y = 3x + 4 5 c. ÌÔ d. ÌÔ ÔÔ y = 6x + 8 ÔÔÔ 1 Ó ÔÔÔ y = x + 1 5 Ó 25. The table below shows points on a line. What is the slope of the line? 1 1 a. − b. c. -3 d. 3 3 3 26. Simplify. 2x 2 when x≠0 4x a. 1 b. x c. 2x d. 33. Which graph represents y = 2x + 3 ? x 2 27. Use the systems of equations below. ÏÔÔ ÔÔ y = 3x + 1 ÌÔÔ ÔÓ 2y = px + q For what values of p and q does the system have an infinite number of solutions? a. p =3, q =1 b. p =3,q= 2 c. p=6, q=1 d. p=6,q=2 a. b. 28. Factor. 3x 2 − 6x + 3 a. (3x − 1)(x + 3) b. (3x + 1)(x + 3) c. 3(x − 1)(x + 1) d. 3(x − 1) 2 2 c. 3 3 ⋅2 22 ⋅ 2 1 9 9 27 a. 9 b. c. d. 2 4 2 d. 34. Scientists say that temperature in degrees Fahrenheit can be determined by adding 41 to the number of chirps a cricket makes in 13 seconds ( if the temperature is above 55°F). If n is the number of chirps counted in 13 seconds, which formula represents the temperature T in degrees Celsius? 5n + 45 9n + 73 5n + 493 a. T = b. T = c. T = 9 5 9 9n + 529 d. T = 5 29. What is the value of 30. The first five terms of a sequence are given below. 1 3 9 27 81 The sequence continues. Which expression represents the nth term of the sequence? a. 3 n − 1 b. 3n − 2 c. 3n d. 3 n 4 Name: ________________________ ID: A 35. Which graph shows a function with range y ≤ 3? 39. The weight (w) of a package is measured in ounces.Each package must be in the range given by: 14.20 < w < 14.30. What is the tolerance for the weight of the package? a. 14.20±0.05oz b. 14.20 ± 0.10oz c. 14.25 ± 0.05oz d. 14.25 ± 0.10oz 40. Look at the diagram below. a. b. What is sin(x°)? 12 12 35 37 a. b. c. d. 35 37 37 12 c. d. 41. In the diagram below PR is parallel to SU , and QT 36. Use the inequality below where all variables are positive numbers. MP Q≥− R Which shows the inequality solved for M ? QP QP RQ b. M ≤ − c. M ≥ − a. M ≥ − R R P RQ d. M ≤ − P is congruent to QU What is the measure of <STQ? a. 30° b. 120° c. 150° d. 165° 37. Use the systems of equations below. ÔÏÔÔ x = 4 Ô ÌÔÔ ÔÓ y = 2 42. Which is the most precise measurements? a. 1.54 kilometers b. 1.54 meters c. 1.54 centimeters d. 1.54 millimeters Which statement best describes the solution set of the system? a. The solution set is only the ordered pair (4, 2). b. The solution set is all orderd pairs where x=4; y can be any real number. c. The solution set is all ordered pairs where y=2; x can be any real numbers. d. There is no solution to the system. 38. In the diagram below, line m is parallel to line n. What is the value of x? a. 30 b. 60 c. 120 d. 150 5 Name: ________________________ ID: A 46. The entertainment center shown below has a 25-inch by 40-inch opening for a television. 43. Look at the graph below. A television is measured by the length of its diagonal.Which is the largest television set that would fit in the opening? a. 36 inches b. 42 inches c. 50 inches d. 65 inches What is the slope of the line? 1 1 a. -2 b. − c. d. 2 2 2 47. Swimmming pools X and Y are similar rectangular prisms. The ratio of the surface area of Pool X to Pool Y is 4 : 9. What is the capacity of Pool X in terms of the capacity of Pool Y? 8 27 4 a. X = Y b. X = Y c. X = Y 27 8 9 9 d. X = Y 4 44. Look at the figure below. 48. Use the diagram below. What is the measurement of ADC ? a. 45° b. 90° c. 180° d. 360° 45. What is the measure of an exterior angle of a regular octagon? a. 22.5° b. 45° c. 90° d. 135° What is the measure of <BCE? a. 20° b. 25° c. 40° d. 50° 49. A carpenter measures a board to be 37.9 inches in length. The board is actually 38 inches in length. Which expression shows the percent error of the carpenters measurements? (38 − 37.9) a. b. (38 − 37.9) × 100 100 ÁÊ 38 − 37.9 ˜ˆ˜ ÁÊ ˜ˆ ˜˜ × 100 d. ÁÁÁ 38 − 37.9 ˜˜˜ × 100 c. ÁÁÁÁ ˜ Á ˜ Ë 37.9 ¯ Ë 38 ¯ 6 Name: ________________________ ID: A 55. Look at the quadrilateral below. 50. A triangle has sides with lengths of 11 meters, 9 meters, and 7 meters. What type of triangle is it? a. acute b. equiangular c. obtuse d. right 51. The figure below shows a smaller rectangle inside a larger rectangle. What is the value of x? a. 32 b. 34 c. 68 d. 70 56. Use the figure below. What is the area of the shaded region? a. 2x 2 + 2x + 2 b. 2x 2 + 3x + 2 c. 2x 2 + 5x + 2 d. 2x 2 + 8x + 2 52. The formula for the surface area S of a sphere is shown below, where r is the length of the radius. S = 4π r 2 When the surface area of a sphere is 64π cm2 , what is the length of the radius? a. 4 cm b. 8 cm c. 16 cm d. 64 cm What word best describes DB ? a. chord b. diameter c. secant d. tangent 57. The diagram below shows six parking spaces. The marked angles are congruent. 53. Which set of numbers could be the lengths of the sides of a right triangle? a. 2,3,4 b. 3,4,7 c. 5,10,15 d. 9,12,15 54. The cylinder and the cone shown in the diagram below have equal volumes and equal heights. Is the width of parking space #2 the same as the width of parking space #5? a. Yes. Alternate exterior angles are marked congruent, so the lines are parallel and equidistant. b. Yes. Corresponding angles are marked congruent, so the lines are parallel and equidistant. c. No. Alternate interior angles are not marked congruent, so the lines may not be parallel and equidistant. d. No. Vertical angles are not marked congruent, so the lines may not be parallel and equidistant. What is the ratio of the radius of the cylinder to the radius of the cone? a. 1:3 b. 3:1 c. 1:23 d. 23:1 58. Which tool would be most appropriate to use to measure the perimeter of a school building? a. protractor b. ruler c. meterstick d. tape measure 7 Name: ________________________ ID: A 63. The formula for the volume V of a rectangular pyramid is shown below, where h is the height and B is the area of the rectangular base. 1 V = Bh 3 When the volume of a rectangualr pyramid is 18 cubic inches, its height is 9 inches, and the length of the base is 3 inches, what is the width of the base? a. 1 inch b. 2 inches c. 3 inches d. 6 inches 59. Use the figure below. What is the value of X? a. 223 b. 231 c. 241 d. 249 60. The diagram below shows a dart board of three rings. The goal is to hit the center ring.A dart player threw five darts and the Xs represent the points where the darts hit the board. 64. Use the figure below. Which equation shows the value of y? 9.1 2 − 4.2 2 b. y = 4.2 2 + 9.1 2 c. y = 9.1 2 − 4.2 2 d. y = 4.2 2 + 9.1 2 a. y = Which statement best describes the dart players accuracy and precision? a. accurate-no; precise-yes b. accurate-no; precise-no c. accurate-yes; precise-no d. accurate-yes; precise-no 65. In the figure below. < DAB ≅< BCD. 61. Read the statement below. Ravens are black. Which conditional statement is equivalent to the given statement? a. If a bird is a raven, then it is black. b. If a bird is black, then it is a raven. c. If a bird is not a raven, then it is not black. d. If a raven is not black, then it is not a bird. What is the value of y? a. y= 30 b. y= 45 c. y= 60 d. y= 75 66. Use the figure below. 62. In the figure below, triangles ABG,BCH , and HGB are congruent. What is the cosine of angle A? 8 8 15 17 a. b. c. d. 15 17 17 8 What is the measure of angle GBH ? a. 54º b. 58º c. 62º d. 64º 8 Name: ________________________ ID: A 72. The ratio of the length (L) to width (w) of a certian building is equal to the ratio of the height (h) to girth(g) of a man.Which equation represents the mans height? ÁÊ L ˜ˆ ÁÊ w ˜ˆ 1 ÁÊ L ˜ˆ a. h = g ÁÁÁÁ ˜˜˜˜ b. h = g ÁÁÁÁ ˜˜˜˜ c. h = ÁÁÁÁ ˜˜˜˜ g Ëw¯ Ëw¯ ËL ¯ 1 ÁÊ w ˜ˆ d. h = ÁÁÁÁ ˜˜˜˜ g ËL ¯ 67. In the figure below, lines m and n intersected by transversal t. Whch statement must be true? a. x=45 b. x=90 c. lines m and n intersect d. lines m and n are parallel 73. What is the best approximation of a. 4.0 b. 4.5 c. 8.0 d. 8.5 69. The table below shows the number of snacks sold at a concession stand during two different games. Which matrix represents the total number of students who favor burritos, hamburgers, and pizza? È ˘ È ˘ a. ÍÍÍÍ 25 29 30 ˙˙˙˙ b. ÍÍÍÍ 32 28 24 ˙˙˙˙ Î ˚ Î ˚ ÈÍ ˘˙ ÈÍ ˘˙ c. ÍÍÍ 10 13 9 ˙˙˙ d. ÍÍÍ 24 28 32 ˙˙˙ Î ˚ Î ˚ How many small sodas were sold all together? a. 23 b. 31 c. 54 d. 85 ˘˙ ÈÍ ˙ ÍÍ ÍÍ 15 −2 ˙˙˙˙ ˙˙ c. ÍÍÍ ˙ ÍÍ 0 ˙˙˚ ÍÎ −1 75. What propery is demonstrated by (3 + 10x) + 4x = 3 + (10x + 4x)? a. associative b. commutative c. distributive d. identity 76. Use the matrices below. ÈÍ ˘˙ ÈÍ ˘˙ ÈÍ ÍÍ ˙ ÍÍ ˙ ÍÍ ÍÍ 4 0 ˙˙˙ ÍÍ 3 −1 ˙˙˙ ÍÍ −3 Í ˙ Í ˙ K = ÍÍ ˙˙ L = ÍÍ ˙˙ M = ÍÍÍ ÍÍ ˙ ÍÍ ˙ ÍÍ ÍÎ −1 3 ˙˙˚ ÍÎ 0 4 ˙˙˚ ÍÎ 0 ÈÍ ˘˙ ÍÍ ˙ ÍÍ 6 −2 ˙˙˙ Í ˙˙ ? Which sum is equal to ÍÍ ˙˙ ÍÍ ÍÎ 0 8 ˙˙˚ a. K+M b. L+L c. L+M d. M+M ˘˙ ˙ −6 ˙˙˙˙ ˙˙ ˙ 0 ˙˙˚ 71. Five numbers are shown below. 30 50 30 50 7 2 Which is the true statement about the numbers? a. 50 − 30 < 7 2 b. 50 + 30 < 7 2 c. 50 − 30 > 7 2 d. 65 ? 74. The table below shows favorite foods of students in three different classes. 68. The first five terms of a sequence are shown below. 1 3 5 7 9 What is the 11th term of the sequence? a. 10 b. 11 c. 20 d. 21 70. Multiply. ÈÍ ˘˙ ÍÍ ˙ ÍÍ 5 −2 ˙˙˙ Í ˙˙ 3 ÍÍ ˙˙ ÍÍ ÍÎ −1 0 ˙˙˚ ÈÍ ˘˙ ÈÍ ÍÍ ˙ ÍÍ ÍÍ 15 −6 ˙˙˙ Í ˙˙ b. ÍÍÍ 15 a. ÍÍÍ ˙ ÍÍ ÍÍ ˙ ÍÍ −3 ÍÎ −3 0 ˙˙˚ Î ÈÍ ˘˙ ÍÍÍ 15 6 ˙˙˙ ˙˙ d. ÍÍÍÍ ˙˙ ÍÍ ˙ ÍÎ 3 0 ˙˙˚ 3 ˘˙ ˙ 1 ˙˙˙˙ ˙˙ ˙ −4 ˙˙˚ 77. Use the statement below. If a number is divisible by 2, then it is also divisible by 4. Which is a counter example to the statement? a. 6 b. 16 c. 36 d. 56 50 + 30 > 7 2 9 Name: ________________________ ID: A 85. Sally says she never has to use subtraction when solving linear equations. Which property of real numbers is Sally using in place of subtraction? a. commutative property of addition b. associative property of addition c. additive identity property d. additive inverse property 78. Which one of the following statements is NOT always true for positive numbers a, b, and c? a. a (b ⋅ c) = (a ⋅ b )c b. a (b + c) = a ⋅ b + a ⋅ c c. a ÷ (b ⋅ c) = (b ⋅ c) ÷ a d. a + (b + c) = a + (c + b ) 79. Use the information below. = = = Which figure is equivalent to ? a. b. c. d. 86. The square of k is between 7 and 8. Which statement about k is true? a. 0 < k < 5 b. 10 < k < 20 c. 25 < k < 35 d. 45 < k < 65 87. A bank offers saving certificates as investments. Interest is earned for the actual amount of time the money is in the bank. There are penalties if a certificate is cashed in before the end of its term. The table below shows the interest rates and penalties for certificates of different lengths. 80. Which statement is true if x = 10 0 + 3 30 ? a. 0 < x ≤ 4 b. 4 < x ≤ 6 c. 6 < x ≤ 12 d. 12 < x ≤ 20 81. Given x = 2 3 , y = 3 27 and z = 4 3 , which number line shows the correct placement of x, y, and z? a. b. Lucy invested $1000 in a 36 month certificate, but cashed in after 30 months. How much interest did Lucy earn? a. $90 b. $75 c. $60 d. $45 c. 88. A four character password consists of one letter from the word MATH, followed by three digits which may be 1, 2 or 3. If the digits may be used more than once, how many more passwords can be made than if the numbers are used only once? a. 12 b. 24 c. 84 d. 108 d. 82. Which expression is closest to 18? a. 3 2 + 2 3 b. 80 + 80 c. 2 3 1000 d. 9 2 83. The equation below illustrates a property of real numbers. 17(1)= 1(17)= 17 What is the property? a. associative property of multiplication b. distributive property c. multiplicative identity property d. multiplicative inverse property 84. Which point best represents the value of 14 ? a. Point A b. Point B c. Point C d. Point D 10 Name: ________________________ ID: A 91. The Venn diagram below represents pants with different characteristics. 89. A large company charted employee absences for the past month (20 workdays). The company represented the data in a scatterplot and a histogram. The charts are shown below. What is represented by the shaded region? a. Pants with pockets, buttons, and pleats. b. Pants with buttons and pockets, but without pleats. c. Pants with buttons and pleats; some pants may have pockets. d. Pants with pockets and buttons; pants may have pleats. 92. Which spinner, when spun once, has the highest probability of landing on the number 1? What fact is obvious from the scatterplot that is not obvious from the histogram? a. A typical employee was absent an average of 3 days this month. b. More workers were absent early in this month than late in the month. c. On most days this month, there were 2 to 4 workers absent. d. Next month, fewer than 2 workers will probably be absent on any given day. 90. A donut display case has 6 glazed, 3 chocolate, and 3 sugar donuts. A customer randomly selects 3 donuts, without replacement. What is the probability of choosing two glazed donuts and 1 sugar donut? 6 6 3 6 6 6 6 5 3 ⋅ ⋅ b. ⋅ ⋅ c. ⋅ ⋅ a. 12 12 12 12 11 10 12 12 12 6 5 3 d. ⋅ ⋅ 12 11 10 a. b. c. d. 93. The pictograph below shows the number of hot beverages consumed at a restraurant. How many more cups of coffee than cups of hot cider were consumed? a. 15 b. 40 c. 45 d. 60 11 Name: ________________________ ID: A 98. A game uses the two spinners shown below. 94. The heights of women aged 18-24 years can be desciribed with normal distribution. A graph of the distribution is shown below. Each spinner is spun once and the two results are added to determine a players move. Which circle graph shows the distribution of possible moves? Based on the graph, which statement is correct? a. There are more women in this age group taller than 69.5 inches than there are shorter than 59.5 inches. b. Most women who are older than 24 years are taller than 72 inches. c. Less than one-third of the women in this age group are taller than 64.5 inches. d. There are about as many women in this age group shorter than 62 inches as there are taller than 67 inches. a. c. b. d. 99. A definiton of biased sampling is a. a method of selection that includes the whole population. b. a method of selection that excludes certain parts of the population. c. a method of selection that ensures the sample represents the population. d. a method of selection that results in a sample smaller than the population. 95. A class has 25 students. The teacher randomly chooses 3 students to form a line.If the order of the selection is important, how many different lines could be created? 25! 25! c. d. 25! a. 25(3!) b. (25 − 3)! 3! (25 − 3)! 96. There are 10 cats in a pet show. A group of 3 cats will be selected as finalists. How many different groups of cats could be finalists? a. 13 b. 30 c. 120 d. 720 100. Two dice are rolled.The number of dice showing “6” is counted. Which is the correct sample space? a. {6} b. {0,1,2} c. {0,6,12} d. {2,3,4,5,6,7,8,9,10,11,12} 97. A group of 30 people was asked,”What is your favorite type of pet?”. The results of the survey are shown below. 101. The key is missing from the graph below. Which of these is a true statement about he data? a. The mean is 6. b. The mode is 2. c. The mode is dog. d. The median is fish. Morris and Williams harvested 560 bushels of apples.How many bushels does each apple in the graph represent? a. 7 b. 14 c. 40 d. 80 102. A survey about space program funding asked the question, “Should the space program recieve increased funding?”. 12 Name: ________________________ ID: A A graph of the results is shown below. 104. Use the set of numbers below. 5 5 7 8 9 11 12 17 30 40 Whic of the following numbers, when included in the set, would change the mean but not the median or mode? a. 0 b. 5 c. 10 d. 15 105. A set of data is written in numerical order. Which term describes the spread of the middle half of the data? a. mean b. median c. interquartile range d. range If the survey had instead asked “ Given the great benefits provided by the space program, should the space program recieve increased funding?” Which of the graphs shows likely results of that question? 106. The seniors in East High School voted for their favorite catagory for the year book.The reults of the vote are represented in hte bar graph. a. Which catagory recieved more than 20% of the vote but less than 30% of the vote? a. Best Smile b. Best Grades c. Best Couple d. Best Humor 107. A game uses the two fair spinners shown below. b. Both spinners are spun and the two numbers are added. If the player has the sum,it is crossed off the game card.Only one total may be crossed off per turn.The first player to cross off all numbers wins. c. Which game card should be chosen so a player has the best chance of winning? a. d. 103. What is the number of combinations of 7 things taken 3 at a time? a. 21 b. 35 c. 210 d. 343 d. 13 b. c. Name: ________________________ ID: A 111. The histograms below show the number of points scored by two basketball players: Susan and Maria. Each played in 25 games. 108. A group of three different desserts is chosen from a menu of ten desserts. Which expression represents all possible combinations of 3 desserts? 10! 10! 10! c. d. a. 10! b. 3! (10 − 3)! (10 − 3)!3! 109. A student tosses a fair coin 3 times and all 3 results are heads.What is the probability that the next toss willl be heads? a. 0% b. 25% c. 50% d. 100% 110. The table below shows the high temperature for Paris, France and New York City, USA over the same four day period. Which city has the higher mean temperature? Which statement is true when comparing Susan’s and Maria’s scores? a. Susan’s mean score is higher and Maria’s scores are more variable. b. Susan’s mean score is higher and her scores are more variable. c. Maria’s mean score is higher and her scores are more variable. d. Maria’s mean score is higher and Susan’s scores are more variable. a. Paris has the higher mean temperature b. New York City had the higher mean temperature. c. Their mean temperature is the same d. One cannot compare mean temperatures when measured in different systems 112. Which could be the range of Maria’s scores? a. 58 points b. 48 points c. 28 points d. 8 points 113. A drama teacher is randomly choosing students for r different roles in a play. There are 8 students from which to choose and the number of possible outcomes is 56. How many roles are in the play? a. r = 2 b. r = 3 c. r = 5 d. r = 7 14 ID: A HSPE Proficiency Packet Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. C B C D C B D D D A A B C B B D A B A B D A A C D D D D A A C B B A B C A B C 1 ID: A 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. B C D A C B B B A D A A A D D D A A D C A A D B A A C D D D A A A A D A B A C D B D B C B 2 ID: A 85. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106. 107. 108. 109. 110. 111. 112. 113. D D B C B D C A C D B C C C B B C C B C C B C D C A C B A 3