CCSD Practice Proficiency Exam Fall 2009

Transcription

1 Fall 009. Add An expression is given below. ( 8+ y) Which expression is equivalent to the one given? 0 + y 0 + y 4 + y 4+ y. A set of data is arranged in numerical order. What value represents the spread of the middle half of the data? interquartile range mean median range 4. In the diagram below, AB = 4, AC = 6, XY =, and ΔABC ΔXYZ. What is XZ? A B The first six terms of a sequence are shown below The sequence continues. Which expression represents the n th term of the sequence? n + 9n n + 5 n + n 6. A box is in the shape of a rectangular prism. The height of the box is 4 inches. The length of the box is twice the width of the box. The volume of the box is 400 cubic inches. What is the width of the box in inches? 5 in. 0 in. 0 in. 00 in. C Z Y X 7. Which expression shows how the distributive property can be used to calculate the cost of 6 jars of peanut butter costing $.98 per jar? (.00) + (0.98) (4.00) (0.0) 6(.00) 6(0.98) 6(4.00) 6(0.0) CCSD Practice Proficiency Exam Fall 009 Page of 7

2 Fall A radio station is considering changing its format from country-western music to hip-hop. It asks its current listeners to call in and give their opinion about the change. Which BEST describes why this survey is biased? Current listeners will not want a change in format. Some listeners may call in more than once. Some listeners may not learn about the survey and couldn t give their opinion. The station may not have enough phone lines to handle all the listeners calls. 9. Use the federal tax tables and information given below. 007 Tax Table Continued 008 Tax Table Continued In 007, Jason s taxable income was $50,000 and he filed his taxes as a single taxpayer. In 008, Jason s taxable income was $40 more than in 007, and he filed as Married filing jointly with his new spouse who had no taxable income. How did Jason s federal taxes in 008 compare to his federal taxes in 007? His tax was $0 more in 008. His tax was $40 more in 008. His tax was $,69 less in 008. His tax was $,9 less in 008. CCSD Practice Proficiency Exam Fall 009 Page of 7

3 Fall A function and its range are shown below. f ( x) = x 5 Range: f ( x) { 7,,, } What is the domain of the function? x {,,, 4} x { 7,,, } x { 9, 7,,} x { 4,, 8, 4}. Two fair, six-sided dice are rolled. What is the probability that the sum of the two dice is or 7? John, Robert, and Tom have the same type of cellular phone. Each man measured his phone s length; the results are shown in the table below. Name Measured Length John 9 cm Robert 0. cm Tom 9.85 cm The actual length of the phone is 9.5 cm. Who had the most accurate measurement? John Robert Tom All three measurements were equally accurate.. The equation of a line is given below. x+ y = What is the slope of the line? 4 4. An equation is shown below. g h = h 6 h Which is an equivalent equation solved for g? h g = h g = g = g = ( h+ 4)( h ) 4 ( h 4)( h+ ) 4 5. Two students did surveys for a class project. Descriptions of their surveys are listed below. Raphael wanted to know where his classmates were born. Each student in the class was asked to give his birthplace. Anne wanted to know about the recycling program at school. Twenty freshmen, twenty sophomores, twenty juniors, and twenty seniors were randomly selected and asked their opinions about recycling. Which statement is correct? Raphael took a sample and Anne did a census. Raphael did a census and Anne took a sample. Both students took a sample. Both students did a census. CCSD Practice Proficiency Exam Fall 009 Page of 7

4 Fall In the diagram below, a 5-foot pole BP is erected at the corner of an 8-foot by 6-foot rectangular concrete pad ABCD. The pole is perpendicular to the pad and anchored with a guy wire PD. P 9. The table below shows the profit (in thousands of dollars) earned by a company in each of five recent years. Year Profit (x000) $06 $4 $498 $57 $6 5 ft B C 6 ft Between which two consecutive years did the company show the greatest increase in profits? 004 to to to to 008 A 8 ft Note: Diagram not drawn to scale D 0. In the diagram below, points A, C, and D, are on circle O. A C What is the length of the guy wire, PD, in feet? 5 5 feet 00º O 5 feet feet feet 7. Which value is between 6 and 7? The first four terms of a sequence are shown below The sequence continues. What is the tenth term of the sequence? D What is the measure of 5º 50º 00º 00º ADC?. A sandwich shop advertises it can make 0 different sandwiches consisting of one type of bread, one type of meat, and one type of cheese. The shop offers two types of bread and five types of meat. How many different types of cheese does the shop offer? 0 55 CCSD Practice Proficiency Exam Fall 009 Page 4 of 7

5 Fall 009. An equation is shown below. x + 6x 7= 0 What is the solution set of the equation? {, 6} { 9, 8} { 8, 9} { 6, }. The stem-and-leaf plot below shows the speeds of eight cars on a highway represents 49 miles per hour What is the median speed? 5 mph 5 mph 54 mph 55 mph 4. Look at the equation below. x 4 = 5 Which graph represents the solution set of the equation? 5. The equation below illustrates a property of real numbers. ( 0 + 0) + 0 = ( 0 + 0) + 0 Which property is illustrated by the equation? associative property commutative property distributive property identity property 6. The box-and-whisker plots below show the distributions of the points scored by two basketball teams in their last twenty games. Points Scored in the Last Twenty Games Bulldogs Wildcats Points Scored Which is a correct conclusion about the scores of the two teams last twenty games? The interquartile ranges are the same for both teams. The range for the Wildcats is greater than the range for the Bulldogs. The Bulldogs scored greater than 80 points in more games than the Wildcats. The Wildcats scored fewer than 60 points in more games than the Bulldogs. 7. A student is measuring the length of a textbook with a ruler. Which shows the ruler with the greatest precision? inch inch inch inch CCSD Practice Proficiency Exam Fall 009 Page 5 of 7

6 Fall In the figure, quadrilateral ABCD is a trapezoid, AD EF, and m BEF = 5.. The graph of a linear equation is shown below. A E B D F C What is m ADF? 5º 55º 70º 5º 9. A bag contains 6 chocolate, caramel, and 8 almond candies. One candy is chosen randomly. What is the probability that the chosen candy is a caramel? A system of equations is shown below. 5x+ y = 7 x y = 6 What is the x-value in the solution of the system of equations? 40 x = 6 x = x = 5 x = Which equation represents a line parallel to the given line? y = x y = x y = x y = x. What is the value of ? The matrix below represents the inventory at a clothing store. Small Medium Large Shirts Sweaters Pants How many medium sweaters does the store have in stock? CCSD Practice Proficiency Exam Fall 009 Page 6 of 7

7 Fall What must be added to n + n 0 n + n 7n + n 7n + n 0 5. Use the facts below. n + 4 to get 5n n 6 +? Allie, Betty, Carlos, and Dan each have a different favorite color: blue, green, red, or yellow. Allie and Dan do not have blue as their favorite. Betty s favorite color is yellow. Dan s favorite color is not red. What is Carlos favorite color? blue green red yellow 6. Two companies build birdhouses. Company A pays their employees $00 per day plus $5 per birdhouse built. Company B pays their employees $0 per day plus $5 per birdhouse. How many birdhouses would have to be built in one day for an employee of either company to be paid the same amount? birdhouses 4 birdhouses 5 birdhouses 6 birdhouses 7. To make fudge, the candy mix must be heated to a temperature of 5º Celsius. What is the approximate equivalent temperature in Fahrenheit? 96º F 75º F 9º F 65º F 8. Use the numbers below Which list is ordered from least to greatest? An equation is shown below. PV = nrt Which shows the equation correctly solved for R? PVT R = n PVn R = T PV R = nt PT R = Vn 40. Use the diagrams of cylinders below. The larger cylinder has a radius of 0.8 inches and a height of 0.6 inches. The smaller cylinder has a radius of 0.4 inches and a height of 0. inches. What is the ratio of the volume of the larger cylinder to that of the smaller cylinder? to to 4 to 8 to CCSD Practice Proficiency Exam Fall 009 Page 7 of 7

8 Fall 009 Standards and Key by Question Standards and Key by Content/DOK Question Key 999 Standard* 006 Standard* Content / DOK ** C..7 / D..4.. / A / 4 B / 5 C.8... / 6 A / 7 D....8 / 8 A / 9 C..4 / 0 A..4 / B / C.... / B / 4 D.... / 5 B / 6 A / 7 C....6 / 8 C.8... / 9 A / 0 B / B / A / C / 4 B / 5 B....8 / 6 D / 7 D.... / 8 B / 9 B / 0 D..5 / D / A....7 / B / 4 A..4.. / 5 A / 6 B..5 / 7 C.... / 8 D....6 / 9 C.... / 40 D / Question Key 999 Standard* 006 Standard* Content / DOK ** 7 C....6 / 5 B....8 / A....7 / 8 D....6 / C..7 / 7 D....8 / D..4.. / 0 A..4 / A / 4 A..4.. / 9 C.... / 6 A / 4 D.... / 8 C.8... / 4 B / 0 D..5 / 6 B..5 / 5 C.8... / 7 D.... / 7 C.... / 9 C..4 / C.... / 40 D / 4 B / B / 0 B / 8 B / D / 6 A / 5 A / A / 5 B / C / 9 B / B / 8 A / B / 9 A / B / 6 D / *NHSPE for the Classes of 0 and beyond is based upon the 006 Nevada State Standards. Correlation to the 999 Standards is provided for students in the Classes of 0 and earlier. Depth of Knowledge (DOK) levels are estimated. ** For the Classes of 0 and beyond, content strands for assessment are C Number and Operations, C Algebra, C Measurement, C4 Geometry, and C5 Data Analysis. For the Classes of 0 and earlier, content strands for assessment are C Number and Operations, C Algebra, C Measurement and Geometry, and C4 Data Analysis.