CCSD Practice Proficiency Exam Fall B. c = E

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1 . Which epression represents the n th term of the sequence, 9, 7, 8,,? n n n 6. The chart below shows the number of passenger cars sold b two companies in June 008. Passenger Car Sales in June 008 Compan G n Compan F. On a map, the distance between two cities is measured to be inches. The map scale is inch : 00 miles. What is the distance between the two cities? 0 miles 0 miles 70 miles 900 miles. What is the solution set for the equation + =? {6} {} { 6, } {, 6}. A right triangle has a hpotenuse of length 0 units. Which of these could be the lengths of the triangle s two legs? units and units units and units units and 6 units 0 units and 0 units. A student s scores on eams are 78, 79, 80, and 8. After a fifth eam, the student s mean score is 80. What was the student s score on the fifth eam? = 0,000 passenger cars Approimatel how man more passenger cars did Compan G sell in June 008 than Compan F? 0,000 60,000 0,000, A pair of shoes has a retail price of $89.0. The shoes are on sale for 0% off the retail price. What is the sale price of the shoes? $6.8 $9.0 $6.6 $ Which equation is equivalent to E = mc, where m, c, and E are onl positive values? c = E m c = E m E c = m c = E m Page of 8

2 9. The graph below uses bo-and-whisker plots to show four sets of data. Set A Set B Set C Set D Values Which set of data has the largest interquartile range? Set A Set B Set C Set D 0. The matri below represents the number of T-shirts sold at a high school during one week. Red White Blue Small 8 6 Medium 0 8 Large 6 0 How man large blue T-shirts did the sell during the week? An internet securit sstem uses numerical values that are products of two prime numbers. Which value could be used b this sstem? 8 7. A fair die is rolled one time. What are the odds in favor of rolling an even number? to to to to 6. A pizza restaurant offers a variet of crusts and toppings. Crusts Meat Toppings Vegetable Toppings Thin Sausage Mushrooms Thick Pepperoni Olives Stuffed Ham Peppers Bacon Onions Ground Beef Tomatoes Based on the table, how man different kinds of pizza can be made using one crust, one meat topping, and one vegetable topping? 0 7. When an 8-foot long ladder is placed against a building at the optimum angle, the base of the ladder is feet from the building. A 0-foot long ladder is placed against the building at the same angle. How far from the building is the base of the ladder? feet 6 feet 0 feet feet. The cost (C) of a newspaper advertisement is $.00 plus $.00 per line. What equation describes the cost of an advertisement with n lines? C = 7n C = 0n C = n + C = n + 6. Sarah traveled miles (d = ) at a speed (s) miles per hour. On the return trip, she increased her speed b 6 miles per hour and traveled the miles in one hour less. This situation can be modeled b the equation s + 6s = 6d. What was Sarah s speed (s) on the first part of her trip? 6 miles per hour 9 miles per hour miles per hour 8 miles per hour Page of 8

3 7. The diagram below shows a birdhouse in the shape of a regular pentagon, with a perch that etends from the floor. a Perch 0. Which graph represents the linear equation = +? What is the measure of the eterior angle (a) between the perch and the wall of the birdhouse? A small business has ten emploees: nine craftsmen who each earn $,000 per ear and one manager who earns $7,000 per ear. The compan wishes to place an advertisement to hire more craftsmen and wants to include salar information in the ad. Wh would it be inappropriate for the business to list the mean salar of all ten emploees the nine craftsmen and the one manager in the advertisement? The mean salar will change when new workers are hired. The mean salar is not equal to the median salar. The mode is alwas a better measure of center when listing salaries than the mean salar. The advertisement is seeking craftsmen and should not include the manager s salar. 9. What must be added to to get a sum of 7 8? Page of 8

4 . The table below shows the diameter of the Earth as listed on four websites. Website Diameter of Earth Website A.7 0 km Website B.8 0 km Website C 76 km Website D 760 km Which website gives the largest diameter for Earth? Website A Website B Website C Website D. Triangle PQR is shown on the coordinate plane below. P Q R Which line has a slope of? What is the equation of the line, through R, parallel to PQ? = = + = = +. Use the data set below: 9,,,, 6, 8, 8, 0, 7 Which measure best describes the value 8? mean median mode range. What is the n th term of the sequence 6, 8, 0,,,? + n ( + n ) + n 6 + n Page of 8

5 6. The value of represents the coordinate of a point on the number line below. Some of the points are labeled. G H J K L M N Which is the set of all labeled points on the number line that satisfies <? {J, K, L} {J, K, L, M} {H, J, K, L} {H, J, K, L, M} 7. The diagram below shows a window in the shape of a rectangle with an adjoining semicircle. The overall height of the window is feet; the overall width is feet. ft 9. The application rate of a liquid lawn fertilizer is ounces of fertilizer per 00 square feet of lawn area. The fertilizer is onl sold in whole quarts [ quart = ounces]. What is the smallest number of quarts of fertilizer that can be purchased to cover a lawn with an area of 960 square feet? quart quarts quarts 6 quarts 0. Use circle P below: E P F A C H ft What is the area of the window? [Use π..] 7. ft 7.7 ft 9. ft 9.7 ft 8. A team scored the following points in each of its first five games: 6, 80, 6, 90, 8 What is the difference between the team s mean and median scores? 7 7 R Which angle represents a central angle? FAP ERC PAC EPA. On Frida of each week, Brian earns $0 for mowing lawns. Each Wednesda, he spends $ to purchase gas for the mower. The table below shows how much mone Brian had each Wednesda and Frida for the past several weeks. Week Da Mone Week Wednesda $8 Frida $8 Week Wednesda $6 Frida $6 Week Wednesda $ Frida $ The pattern of the amount of mone Brian has on Wednesdas and Fridas continues. How much mone will Brian have on Wednesda of Week? $ $ $0 $0 Page of 8

6 . The table below shows a famil s household budget. Epense Percentage Housing % Food % Utilities % Auto 0% Other % Which graph best represents the table?. Use the graph below: Other Housing Auto Food Utilities Other Housing Auto Utilities Food Housing Food Utilities Auto Other Auto Other Which is an equation of the line? + = 6 = 6 + = 6 = 6. A school district has buses. Each bus can carr a maimum of 7 students. All of the buses are being used for a trip. What is the largest total number of students that could ride the buses on this trip? Between 80 and 00 Between 0 and 00 Between 00 and 600 Between 800 and 000. Four students measured a steel rod that has an actual length of 0.86 meters. Their measurements, reported to the nearest millimeter, are listed in the table below: Student Adam Baile Colin Diane Measurement 86 mm 870 mm 89 mm 80 mm Utilities Housing Which student s measurement was the most accurate? Adam Food Baile Colin Diane Page 6 of 8

7 6. The graph represents the quadratic equation =. 8. The table below shows the number of movies that each of 0 bos and 0 girls watched last summer. Number of Movies Number of Bos Number of Girls Which graph is most appropriate to compare the number of movies watched b bos and the number of movies watched b girls last summer? What are the solutions to = and = 0 = and = = and = = and = = 0? 7. Which right triangle has angle measures of 0, 60, and 90? Number of Girls Number of Movies Seen Number of Bos cm cm Number of Movies Seen cm cm cm 0 cm cm cm cm cm cm Number of Bos/Girls Number of Movies Seen Bos Girls cm Page 7 of 8

8 9. What is the missing term the in sequence,,,,, 8,,? The chart below shows quarterl sales for a certain compan. Quarterl Sales Sales ($millions) Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Qtr Year Year Year Year Year / Quarter The sales value for Year, Quarter is missing. Based on the pattern of sales, what would be a reasonable estimate of the sales for Year, Quarter? about $ million about $8. million about $7 million about $ million Page 8 of 8

9 Standards and Ke b Question Question Ke 999 Standard 006 Standard Content / Application A.8... C / A C.... C / A D C / A A C / A B.... C / A 6 C C / A 7 C C / A 8 B.... C / A 9 B C / A 0 A.... C / A B....8 C / A A C / A D C / A A C / A C...8. C / A 6 A.... C / A 7 B.... C / A 8 D.... C / A 9 C.... C / A 0 C...8. C / A B....8 C / A A...8. C / A D...8. C / A B...8. C / A A.8... C / A 6 C C / A 7 B.... C / A 8 D...8. C / A 9 C C / A 0 D.... C / A C C / A D...8. C / A A...8. C / A D C / A C.... C / A 6 C.... C / A 7 B C / A 8 D C / A 9 A C / A 0 A C / A *NHSPE for Classes of 0 and earlier is based upon the 999 Nevada State Standards. Correlation to 006 Standards is provided for IDMS analsis.

10 Standards and Ke b Content/Application Question Ke 999 Standard* 006 Standard* Content / Application D C / A 7 C C / A B....8 C / A B....8 C / A 0 A.... C / A C...8. C / A 0 C...8. C / A 9 A C / A D C / A 8 B.... C / A 9 C.... C / A 6 C C / A C C / A 6 C.... C / A A.8... C / A 6 A.... C / A A.8... C / A D...8. C / A B...8. C / A 0 D.... C / A 7 B C / A C.... C / A A C / A 7 B.... C / A A...8. C / A A C / A A...8. C / A 7 B.... C / A 9 C C / A C.... C / A D...8. C / A A C / A D C / A 8 D...8. C / A 8 D C / A B.... C / A 6 C C / A 9 B C / A 8 D.... C / A 0 A C / A *NHSPE for Classes of 0 and earlier is based upon the 999 Nevada State Standards. Correlation to 006 Standards is provided for IDMS analsis.

Direction: Please write your answer in the answer blanks and show all work to get full credits. Each question is worth 4 points each.

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