Spring 011 1. Use te grap below. Weigt (lb) 00 190 180 170 160 150 140 10 10 110 100 90 58 59 60 61 6 6 64 65 66 67 68 69 70 71 Heigt (in.) Wic table represents te information sown in te grap? Heigt (in.) 59 60 6 65 66 70 Weigt (lb) 115 110 10 10 160 170 Heigt (in.) 59 60 6 65 66 70 Weigt (lb) 100 110 10 10 160 190 Heigt (in.) 59 61 6 65 66 70 Weigt (lb) 100 110 10 10 160 190 Heigt (in.) 59 61 6 65 66 70 Weigt (lb) 115 110 10 10 160 170. Te grap of a function is sown below.. Use te diagram below. D C B O Wat is te domain of tis function? x = 1 or x = 4 x can be any real number y 1 y = 40 E Wat is te measure of BCE? 0 5 40 50 CCSD Practice Proficiency Exam Spring 011 Page 1 of 8
Spring 011 4. A group of 0 people was asked, Wat is your favorite type of pet? Te results of te survey are sown below. Favorite Type of Pet Number of People Dog 1 Cat 9 Fis 5 Bird Iguana 7. A game uses te two spinners sown below. 1 Eac spinner is spun once and te two results are added to determine a player s move. Wic circle grap sows te distribution of possible moves? 1 Wic of tese is a true statement about te data? Te mean is 6. Te mode is 1 Te mode is dog. Te median is fis. 5. Use te table. 1 4 5 7 9 11 4 Te pattern in te table continues. Wat is te next column in te table? 5 10 4 5 1 10 5 4 1 5 6. Use te matrices below. K 4 0 1 1 L 0 4 6 Wic sum is equal to 0 8? K + M L + L L + M M + M 1 M 0 4 8. A carpenter measures a board to be 7.9 inces in lengt. Te board is actually 8 inces in lengt. Wic expression sows te percent error of te carpenter s measurement? 8 7.9 100 8 7.9 100 8 7.9 100 7.9 8 7.9 100 8 CCSD Practice Proficiency Exam Spring 011 Page of 8
Spring 011 9. A triangle as sides wit lengts of 11 meters, 9 meters, and 7 meters. Wat type of triangle is it? acute equiangular obtuse rigt 10. Te figure below sows a smaller rectangle inside a larger rectangle. (x + 1) Wat is te area of te saded region? x x x x x 5x x 8x 11. A definition of biased sampling is a metod of selection tat includes te wole population. a metod of selection tat excludes certain parts of te population. a metod of selection tat ensures te sample represents te population. a metod of selection tat results in a sample smaller tan te population. 1. Use te statement below. x (x + ) If a number is divisible by, ten it is also divisible by 4. Wic is a counterexample to te statement? 6 16 6 56 1. Wic one of te following statements is NOT always true for positive numbers a, b, and c? abc a b c ab c ab ac a bc bc a a bc ac b 14. Two dice are rolled. Te number of dice sowing 6 is counted. Wic is te correct sample space? {6} {0, 1, } {0, 6, 1} {,, 4, 5, 6, 7, 8, 9, 10, 11, 1} 15. An equation is sown below. pl R A Wic is an equivalent equation solved for L? L A pr L p AR pr L A L AR p 16. Use te information below. = = = Wic figure is equivalent to? CCSD Practice Proficiency Exam Spring 011 Page of 8
Spring 011 17. Wic equation as roots of and 5? x x 15 = 0 x x + 15 = 0 x + x 15 = 0 x + x + 15 = 0 18. Te key is missing from te grap below. Apple Harvest in Area Towns Alvin Morris Steeple Williams = busels Morris and Williams arvested 560 busels of apples. How many busels does eac apple in te grap represent? 7 14 40 80 19. Te formula for te surface area S of a spere is sown below, were r is te lengt of te radius. S 4 r Wen te surface area of a spere is 64cm, wat is te lengt of te radius? 4 cm 8 cm 16 cm 64 cm 0. Wic statement is true if x = 0 x 4 4 x 6 6 x 1 1 x 0 0 10 0? 1. A system of linear equations is sown below. y x1 xy 5 Wat is te y-coordinate of te point of intersection? 5 9. Dave s windsield as a crack. He must decide wo will fix it. Relevant information is listed below. Replacing te windsield costs $00. Repairing te crack costs $70. If e as te windsield repaired, te insurance company will pay alf of te cost. If e as te windsield replaced by Glass Plus, e pays $5 plus 0% of te cost. His insurance pays te rest. If e as te windsield replaced by Mobile Glass, e must pay te full cost; insurance pays noting. Wat is te least amount of money Dave must pay to get te windsield repaired or replaced? $5 $65 $100 $00. An equation is sown below. x x4 0 Wat is te solution set of te equation? 4, 6 6, 4 1,, 1 CCSD Practice Proficiency Exam Spring 011 Page 4 of 8
Spring 011 4. A survey about space program funding asked te question, Sould te space program receive increased funding? A grap of te results is sown below. Yes No If te survey ad instead asked, Don t Know Given te great benefits provided by te space program, sould te space program receive increased funding? wic of tese graps sows likely results of tat question? Yes No Yes No Don t Know Don t Know No Yes No Yes Don t Know Don t Know 5. Wic set of numbers could be te lengts of te sides of a rigt triangle?,, 4, 4, 7 5, 10, 15 9, 1, 15 6. Wat is te number of combinations of 7 tings taken at a time? 1 5 10 4 CCSD Practice Proficiency Exam Spring 011 Page 5 of 8
Spring 011 7. Fred and Etel are solving te system of linear equations sown below: xy 1 4x 6y 4 Fred found te solution to be te point (6, 0). Etel found te solution to be te point (0, 4). Wic person as te correct solution to te system and wy? Fred, because te point (6, 0) lies on bot lines. Etel, because te point (0, 4) lies on bot lines. Neiter, because any two lines may only ave one point in common. Neiter, because tey ave found only two of te infinitely many points tat lie on bot lines. 8. A secretary types 56 words in a minute. Wic proportion sows te approximate number of words tat se can type in 1 our? 0. Te tables below sow favorite foods of tree classes from two teacers. Favorite Foods Teacer A Burritos Hamburgers Pizza Period 1 10 11 1 Period 9 1 10 Period 7 8 9 Favorite Foods Teacer B Burritos Hamburgers Pizza Period 1 10 15 8 Period 7 14 9 Period 8 1 7 Wic matrix sows tat Period likes amburgers te most? 7 14 9 9 1 10 16 7 19 5 41 4 56 x 1 0 56 x 0 1 56 x 60 0 56 x 60 1 1. Given x, y 7, and z 4, wic number line sows te correct placement of x, y and z? z x z x y y 9. Te cylinder and cone sown in te diagram below ave equal volumes and equal eigts. x y z y z x Wat is te ratio of te radius of te cylinder to te radius of te cone? 1: :1 1: :1. An ice cream sop advertises tat tey can make sundaes 6 different ways. A sundae consists of one sauce (cocolate, caramel, butterscotc), one nut (peanuts, walnuts, pecans), and one fruit. Wat is te fewest number of fruits te sop can offer to make 6 different sundaes? 4 9 1 0 CCSD Practice Proficiency Exam Spring 011 Page 6 of 8
Spring 011. Look at te quadrilateral below. (x + 5) (x + 10) x (x 5) Wat is te value of x? 4 68 70 4. Use te figure below. 6. Brand X locks use a -caracter code made up of te digits 0 troug 9 wic MAY NOT repeat. Brand Y locks use a -caracter code also made up from te digits 0 troug 9 wic MAY repeat. How many more different codes can Brand Y locks use tan Brand X locks? 60 60 900 910 7. Use te sequence below. 1 1 1 5 1 5 5 15 Wat is te n t term in te sequence? 5 n B E 1 5 n 1 5 n A C D n 1 5 Wat word best describes DB? cord diameter secant tangent 5. Wic inequality is equivalent to p 5 8? 1 p p 1 p 1 or p 8. Te table below sows points on a line. x 1 0 1 y 1 4 7 10 Wat is te slope of te line? 1 1 p or p 1 CCSD Practice Proficiency Exam Spring 011 Page 7 of 8
9. Te Venn Diagram below sows te numbers of students wo are in Science Club, Mat Club, and Honor Society. CCSD Practice Proficiency Exam Spring 011 Science Club Mat Club 15 5 15 10 5 5 If a student is cosen at random, wat is te probability tat te student is in mat club and in science club? 5% 0% 15% 10% 40. Te diagram below sows six parking spaces. Te marked angles are congruent. 45 Honor Society 1 4 5 6 Is te widt of parking space # te same as te widt of parking space #5? Yes. Alternate exterior angles are marked congruent, so te lines are parallel and equidistant. Yes. Corresponding angles are marked congruent, so te lines are parallel and equidistant. No. Alternate interior angles are not marked congruent, so te lines may not be parallel and equidistant. No. Vertical angles are not marked congruent, so te lines may not be parallel and equidistant. CCSD Practice Proficiency Exam Spring 011 Page 8 of 8
Formula Seet Note to Student: You may use tese formulas trougout tis entire test. Feel free to use tis Formula Seet as needed during your testing time. Parallelogram b Area A= b Trapezoid 1 Area A= ( b + b ) 1 b 1 b Circle r d Rectangular Solid l w Circumference C C = πr =πd Volume Surface Area V = lw SA = lw + l + w Area A =πr Cylinder r Cone Pytagorean Teorem a + b = c a b c Volume V =πr Volume V = 1 πr r Trigonometric Ratios a sin x = c cos x = tan x = Special Rigt Triangles b c a b c x b a Permutations Combinations n n n! P k = ( n k)! n! C k = k!( n k)! x 45 x 0 x x x 45 60 x Temperature Formulas 9 F = C+ 5 5 C = (F ) 9
Spring 011 Standards and Key by Question Standards and Key by Content/DOK Question Key 006 Standard DOK 1 C 5.1.1 B.1.4 1 A 4.1.1 4 C 5.1. 5 B.1.1 6 B 1.1.7 1 7 C 5.1.5 8 D.1. 1 9 A 4.1.7 10 A 5.1. 1 11 B.1. 1 A 4.1.9 1 C 1.1.8 1 14 B 5.1.1 1 15 D.1.1 1 16 D 4.1.9 17 A.1.6 1 18 D 5.1.1 1 19 A.1.5 1 0 B 1.1.6 1 1 B.1.5 A.1.4 B.1.6 4 C 5.1. 5 D 4.1.5 1 6 B 5.1.4 1 7 D.1.5 8 A.1. 9 C.1.5 0 C 1.1.7 1 D 1.1.6 A 5.1.4 D 4.1.1 1 4 C 4.1.1 1 5 A.1.4 6 D 5.1.4 7 C.1.1 8 D 4.1.5 9 C 5.1.5 40 A 4.1.6 Question Key 006 Standard DOK 0 B 1.1.6 1 6 B 1.1.7 1 1 C 1.1.8 1 1 D 1.1.6 0 C 1.1.7 15 D.1.1 1 B.1.4 1 17 A.1.6 1 5 B.1.1 8 A.1. 11 B.1. 5 A.1.4 1 B.1.5 B.1.6 7 C.1.1 7 D.1.5 8 D.1. 1 19 A.1.5 1 A.1.4 9 C.1.5 D 4.1.1 1 4 C 4.1.1 1 5 D 4.1.5 1 A 4.1.1 8 D 4.1.5 40 A 4.1.6 9 A 4.1.7 1 A 4.1.9 16 D 4.1.9 14 B 5.1.1 1 18 D 5.1.1 1 10 A 5.1. 1 6 B 5.1.4 1 1 C 5.1.1 4 C 5.1. 4 C 5.1. A 5.1.4 6 D 5.1.4 9 C 5.1.5 7 C 5.1.5 Dept of Knowledge (DOK) levels are estimated.