Math Department 1. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2009 | Question 40 10.G.5 Triangle PQR in the diagram below represents Pam’s trip across a river. In the diagram, PQ represents her planned trip across the river, and PR represents her actual trip across the river. Based on the dimensions in the diagram, which of the following is closest to the length of PR ? A. 104 feet B. 117 feet C. 120 feet D. 160 feet 2. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 39 10.D.2 Beth drew a scatterplot and then correctly drew the line of best fit for her scatterplot. The line of best fit had a slope of 2. Which of the following is most likely Beth’s scatterplot? A. C. B. D. Math Department MCAS Practice 9-12 MC Geo/Stat MC 3. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 38 10.G.9 The coordinates of the endpoints of ST and its image S'T' are given below. S (2, –4) T (–1, 1) S' (–2, –4) T' (1, 1) Which of the following single transformations maps ST to S'T' ? A. translation 4 units to the left B. rotation 180° clockwise about the origin C. reflection over the x-axis D. reflection over the y-axis 4. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 33 10.D.1 The circle graph below shows the distribution of the ages of 24 team members. A. 15 B. 16 C. 17 D. 18 What is the median age, in years, of the team members? 5. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 30 10.G.4 In the diagram below, MNP ~ RST. Based on the dimensions in the diagram, what is the length of MN? A. 15 in. B. 24 in. C. 30 in. D. 40 in. Math Department 6. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2009 | Question 26 8.D.4 The diagram below shows a small, shaded square inside a larger square. A. 50 B. 25 C. 10 D. 40 A point is located at random inside the larger square. Based on the dimensions in the diagram, what is the probability that the point will be inside the small, shaded square? 7. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 27 10.D.1 The graph below shows Danielle’s speed, in miles per hour, during the 24 minutes she spent riding her bicycle one day. A. 3 B. 9 C. 18 D. 21 Which of the following is closest to the number of minutes that Danielle’s speed was greater than 14 miles per hour? 8. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 23 10.G.3 In the diagram below, lines k, m, and n are parallel lines intersected by line p. Which of the following angles has a measure that is not equal to the measure of <1 ? Line p is not perpendicular to lines k, m, and n. A. 2 B. 3 C. 4 D. 5 Math Department MCAS Practice 9-12 MC Geo/Stat MC 9. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 14 10.D.2 Cynthia and her father planted a tree in their front yard 8 years ago. The tree was 2 meters in height when it was planted. The scatterplot below shows how the height of the tree increased each year. A. y = –2x + 2 B. y = 2x + 2 C. y = –1/2x + 2 D. y = 1/2x + 2 Which of the following closely approximates the equation of the line of best fit for the data points in the scatterplot? 10. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 8 10.G.1 Exactly three diagonals can be drawn from each vertex of a given polygon. What is the total number of sides of the polygon? A. 3 B. 4 C. 5 D. 6 11. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 9 10.D.1 The numbers of pages that Millie read on each of the first seven days after she got a new book are shown in the box below. 15, 20, 15, 45, 30, 35, 15 What is the median number of pages Millie read per day for the seven days? A. 15 B. 20 C. 25 D. 45 Math Department MCAS Practice 9-12 MC Geo/Stat MC 12. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 1 10.D.1 A class of students took a mathematics test. The table below shows their scores and the number of students who received each score. Number of Students Who Received Each Score Score What is the median of the scores for the entire class of students? Number of Students A. 26 23 3 26 5 27 5 28 2 30 7 33 2 34 1 B. 27 C. 29 D. 30 13. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 1 10.D.1 What is the median of the data set below? 30, 37, 19, 42, 33, 37 A. 31 B. 33 C. 35 D. 37 14. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 4 10.D.1 Allen surveyed the 18 students in his class about the number of DVDs each of them rented last week. The table below shows how many students rented each number of DVDs. For example, 10 students rented 1 DVD each. Number of Students Renting Each Number of DVDs Number of DVDs Rented Number of Students 1 10 3 6 4 What is the mean number of DVDs rented per student? A. 1 B. 2 C. 3 D. 6 2 Math Department MCAS Practice 9-12 MC Geo/Stat MC 15. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 8 10.G.3 Parallel lines r and s are cut by transversal t, as shown in the diagram below. Which of the following must be true? A. B. C. D. 16. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 11 10.D.2 Which of the following scatterplots is most likely to have a line of best fit represented by the equation ? A. C. B. D. 17. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 13 10.G.9 Point P(6, 7) and point Q(6, 4) are plotted on the coordinate grid below. A. (3, 4) B. (6, 1) C. (6, 10) D. (9, 4) Point P is rotated 180° clockwise about point Q. What are the coordinates of the image of point P after this rotation? Math Department MCAS Practice 9-12 MC Geo/Stat MC 18. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 22 10.G.5 The diagram below shows a triangle and some of its dimensions. What is the value of t? A. 25 B. 30 C. 35 D. 40 19. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 23 10.D.1 Jane played in 12 basketball games. • • For her first 8 games, the mean number of points she scored per game was 11. For her last 4 games, the mean number of points she scored per game was 15. What was the total number of points Jane scored in all 12 games? A. 148 B. 156 C. 228 D. 312 20. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 26 8.D.4 Spinners P and Q shown below are divided into congruent sections. The arrow on each spinner will be spun once. The number in the section where the arrow stops on Spinner P will be added to the number in the section where the arrow stops on Spinner Q. What is the probability that the sum of the two numbers will be 5? A. B. C. D. Math Department 21. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2010 | Question 30 10.D.1 The bar graph below shows the number of pizzas a restaurant delivered each day during one week. What is the range of the numbers of pizzas delivered during the week? A. 18 B. 20 C. 24 D. 26 22. Grade 10 | Mathematics | Multiple Choice | 2010 Question 32 10.D.1 The table below shows the number of points Dmitri earned playing a game on each of the first 5 days of the week. Game Points Earned Day Number of Points Earned Monday 800 Tuesday 1200 Wednesday 1500 Thursday 1000 Friday 1600 Saturday ? What is the number of points Dmitri must earn on Saturday so that his mean number of points over the 6 days is exactly 1250? A. 1020 B. 1220 C. 1300 D. 1400 23. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 35 10.G.6 Gail drew square PQRS shown below. What is the length, in inches, of A. B. 9 C. 6 3 D. 12 ? Math Department MCAS Practice 9-12 MC Geo/Stat MC 24. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 37 A community center offers classes for students. • • The range of the number of students in each class is 13. The median number of students in each class is 9. Which of the following box-and-whisker plots could represent the numbers of students in the classes? 25. A. C. B. D. Grade 10 | Mathematics | Multiple Choice | 2010 | Question 38 The diagrams above show the top view and the front view of a solid object. Which of the following could be a diagram of the solid object? A. B. 26. C. D. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 40 10.D.1 The stem-and-leaf plot below shows the costs, in dollars, of all the textbooks at a school bookstore. Based on the stem-and-leaf plot, what percent of the textbooks cost more than $80? A. 40% B. 45% C. 50% D. 55% Math Department 27. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2011 | Question 39 10.G.5 The diagram below shows . Point H lies on Based on the angle measures in the diagram, what is . ? A. 21° B. 42° C. 55° D. 76° 28. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 38 10.D.1 The price per pound of each kind of vegetable sold at a farmers' market is shown in the table below. What is the mode of the prices per pound for the vegetables? A. $0.95 B. $1.25 C. $1.49 D. $1.99 29. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 36 10.D.1 Deborah earned a total of $2000 from 5 different summer jobs. Which of the following types of graphs is the most appropriate for showing the percent of money earned from each job? A. histogram B. line graph C. scatterplot D. circle graph 30. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 35 10.G.1 Which of the following is true for all parallelograms? A. Diagonals are congruent. B. Adjacent sides are congruent. C. Opposite angles are congruent. D. Adjacent angles are congruent. Math Department 31. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2011 | Question 34 10.D.1 The table below shows the ticket costs for seats in different sections of a stadium. What is the greatest number of bleacher seat tickets that can be bought for the cost of 12 lower deck seat tickets? A. 22 B. 32 C. 42 D. 52 32. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 33 10.G.5 Pat is making a shelf for a corner in her house. The diagram below shows her plan for one piece she will cut from a board. A. 22 B. 26 C. 30 D. 34 Based on the dimensions in the diagram, what is the value of k? 33. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 33 10.G.5 Two angles of a triangle each measure 64°. What is the measure of the third angle of the triangle? A. 32° B. 52° C. 58° D. 64° 34. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 32 10.D.1 The graph below shows the relationship between distance walked and number of calories burned. A. 80 B. 120 C. 160 D. 240 Based on the graph, which of the following is closest to the number of calories that are burned by walking 1.5 miles? Math Department 35. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2011 | Question 30 10.D.1 The line plot below shows the cost, in dollars, of each item sold at a bake sale. A. B. C. D. What fraction of the items sold cost $5 or less? 36. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 28 10.G.11 The diagram below represents different connecting routes an airplane pilot can take to travel from one city to another. An airplane will fly from Middletown to Wilton. The pilot of the airplane wants to stop in no more than 2 cities between Middletown and Wilton. How many different ways can the pilot fly from Middletown to Wilton? A. 1 B. 2 C. 3 D. 4 Grade 10 | Mathematics | Multiple Choice | 2011 | Question 28 10.G.3 37. In the diagram below, lines q and r are parallel lines intersected by line t. Based on the diagram, which of the following equations must be true? A. B. C. D. Math Department 38. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2011 | Question 27 10.D.1 The histogram below shows the relationship between the price of a used car and the number of used cars sold. A. No used car sold for $7,000. B. Exactly 5 of the used cars sold for $4,000. C. The most expensive used car sold for $11,999. D. Most of the used cars sold for less than $6,000. Based on the histogram, which statement must be true? 39. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 24 10.D.1 The circle graph below represents the number of students enrolled in elective classes at Morris High School. A. 200 B. 220 C. 340 D. 980 Each student is enrolled in only one elective class. Of the total number of students enrolled in elective classes, are enrolled in art class. What is the total number of students enrolled in accounting class? 40. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 23 10.D.1 The circle graph below shows information about the budget for a school party. The total budget for the party is $1500. What is the total dollar amount in the budget for entertainment? A. $300 B. $450 C. $500 D. $1050 Math Department 41. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2011 | Question 22 10.G.4 In the diagram below, . A. 3 in. B. 4 in. C. 5 in. D. 6 in. Based on the dimensions in the diagram, what is the length of 42. ? Grade 10 | Mathematics | Multiple Choice | 2011 | Question 22 10.G.3 In the diagram below, lines h and j are parallel. Line k and line m intersect lines h and j. A. 50° B. 60° C. 120° D. 130° Based on the angle measures in the diagram, what is 43. ? Grade 10 | Mathematics | Multiple Choice | 2011 | Question 13 10.D.1 The list in the box below shows the ticket prices for ten concerts scheduled at a stadium. $32, $36, $65, $30, $46, $19, $46, $40, $70, $16 A ticket price of $70 is added to the list. Which of the following measures of the data will change? A. range B. median C. maximum D. minimum 44. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 12 10.D.1 The scatterplot below shows the relationship between the length of a long-distance phone call and the cost of the phone call. A. $10 B. $12 C. $15 D. $20 Based on the line of best fit for the scatterplot, which of the following amounts is closest to the cost of a 120-minute phone call? Math Department 45. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2011 | Question 9 10.D.1 The costs for different books at a yard sale are listed in the box below. $0.75, $1.25, $3.00, $1.80, $2.00, $2.00 What is the mean cost of the books? A. $1.80 B. $1.90 C. $2.00 D. $2.40 46. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 8 10.D.1 The table below shows the monthly rents charged for different apartments. A. $900 B. $925 C. $938 D. $975 What is the median monthly rent charged for the apartments? 47. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 4 10.D.1 The bar graph below shows the one-year rate quotes Sanjay received from different car insurance companies. A. $875 B. $900 C. $950 D. $1025 What is the mean one-year rate for the quotes Sanjay received? Math Department 48. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2011 | Question 3 10.D.2 Which of the following equations best represents the line of best fit for the scatterplot below? A. B. C. D. 49. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 1 10.G.7 In the diagram below, point M is the midpoint of . What are the coordinates of point J? A. (--4, 1) B. (--8, 2) C. (--10, --4) D. (--10, --8) 50. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 2 10.D.1 The stem-and-leaf plot below shows the number of miles a person rode a bicycle each weekday last month. What is the range of the numbers of miles ridden? A. 4.0 B. 3.6 C. 3.4 D. 1.5 51. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 2 10.D.1 Dev made a list of numbers, as shown in the box below. 4, 7, 9, 11, 13, 28 Pierre made a different list of numbers by multiplying each number from Dev's list by 2. What is the median of Pierre's list? A. 18 B. 20 C. 22 D. 24 Math Department 52. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2012 | Question 7 10.D.2 The scatterplot below shows the relationship between the number of minutes available for a cell phone plan and the monthly cost, in dollars, of different cell phone plans. A. 150 B. 250 C. 350 D. 450 Based on the line of best fit for the scatterplot, what is the expected number of minutes available for a cell phone plan that has a monthly cost of $40? 53. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 7 10.D.2 Which of the following is closest to the slope of the line of best fit for the scatterplot below? A. B. C. D. 54. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 23 10.G.7 Points M and H are shown on the coordinate grid below. A. (0, 1) B. (2, 1) C. (4, 2) D. (12, 7) Point M is the midpoint of . What are the coordinates of point G? 55. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 24 10.G.1 Two properties of a quadrilateral are listed below. • • The quadrilateral always has 4 congruent angles. The quadrilateral does not always have 4 congruent sides. A. square B. rhombus C. rectangle D. trapezoid Which of the following quadrilaterals has both properties? Math Department MCAS Practice 9-12 MC Geo/Stat MC 56. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 25 10.D.1 Gina surveyed a group of people about what search method each used most often to find a job. The circle graph below represents their answers to her survey. A. 40 B. 80 C. 92 D. 128 There were 32 people who answered that they used the Internet most often. What was the total number of people that Gina surveyed? 57. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 26 10.D.1 The bar graph below shows the number of items returned to a clothing store each day for 5 days. Based on the graph, what is the mean number of items returned to the store for the 5 days? A. 7 B. 11 C. 13 D. 14 58. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 26 10.G.5 The diagram below represents a ramp and some of its dimensions. A. 1 ft. B. 5 ft. C. 8 ft. D. 25 ft. What is the height, h, of the ramp? 59. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 27 10.G.6 In shown below, and °. A. 25° B. 50° C. 65° D. 80° What is ? Math Department MCAS Practice 9-12 MC Geo/Stat MC 60. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 28 10.G.4 In the diagram below, . A. B. C. Based on the relationship between the triangles, which of the following proportions is true? 61. D. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 30 10.G.3 In the diagram below, . Line w intersects lines m and q. A. B. C. D. Which of the following are corresponding angles? 62. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 30 10.G.9 Quadrilateral EFGH is shown on the coordinate grid below. A. I and II B. II and III C. II and IV D. III and IV The quadrilateral will be reflected over the y-axis. The reflected image will then be translated 2 units left and 7 units up. In which of the following quadrants will the final reflected and translated image lie? Math Department 63. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2012 | Question 32 10.D.1 A data set has 6 different numbers. A student calculated the mean, median, and mode of the data set. The student then removed the lowest number from the data set and calculated the mean, median, and mode again. What measures of central tendency must change when the lowest number is removed from the data set? A. mean only B. median only C. median and mode D. median and mean 64. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 32 10.G.3 An angle is inscribed in a circle, as shown below. A. 55 B. 70 C. 75 D. 110 The degree measures of three arcs are shown in the diagram. What is the value of x? 65. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 33 10.D.1 The box-and-whisker plot below shows the numbers of pictures that can be stored on different digital cameras. A. 250 B. 300 C. 350 D. 400 What is the median number of pictures that can be stored? 66. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 34 10.D.1 The bar graph below shows the daily high temperatures, in degrees Fahrenheit, in Windham for 14 days. A. 49°F B. 52°F C. 55°F D. 59°F Based on the bar graph, what was the mode of the daily high temperatures for the 14 days? Math Department 67. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2012 | Question 35 10.G.5 The diagram below shows a triangle. A. 8 ft. B. 11 ft. C. 12 ft. D. 18 ft. Based on the measurements in the diagram, what is k? 68. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 37 10.D.1 The stem-and-leaf plot below shows the age, in years, of each runner in a road race. A. 12 B. 17 C. 19 D. 20 What is the total number of runners between the ages of 35 and 55 years? 69. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 37 10.G.1 Which of the following could not be the exact number of right angles in a quadrilateral? A. 1 B. 2 C. 3 D. 4 70. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 38): 10.G.5 Point P and point Q are shown on the coordinate grid below. A. 5 units B. 6 units C. 10 units D. 14 units Which of the following best represents the length of ? Math Department 71. MCAS Practice 9-12 MC Geo/Stat MC Grade 10 | Mathematics | Multiple Choice | 2012 | Question 39 10.G.4 Rectangle , as shown in the diagram below. A. 9 cm B. 10 cm C. 15 cm D. 24 cm The area of rectangle KLMN is 12 square centimeters. Based on the dimensions in the diagram, what is the length of 72. ? Grade 10 | Mathematics | Multiple Choice | 2012 | Question 39 10.G.3 In the diagram below, and . A. B. C. D. Based on the angle measure in the diagram, which of the following angles does not have a measure of 62°? 73. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 40 10.D.1 A. 24 A farmer has three cats named Elmer, Max, and Whiskers. • • • B. 22 C. 20 Elmer weighs 18 pounds. Max's weight is the same as Whiskers's weight. The mean weight of the three cats is 14 pounds. D. 12 What is the weight, in pounds, of Whiskers? 74. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 40 10.G.6 In the diagram below, . A. inches B. inches C. inches D. Based on the dimensions shown, what is the length of ? inches
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