Sampler-B. Secondary Mathematics Assessment. Sampler 521-B

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1 Sampler-B Seonary Mathematis Assessment Sampler 51-B

3 Instrutions for Stuents Desription This sample test inlues 15 Selete Response an 5 Construte Response questions. Eah Selete Response has a value of 1. The value for eah Construte Response is given at the ottom of the page in the right-han orner. The questions are from the following strans: Algera an Numer Relations an Funtions Trigonometry The atual assessment was evelope to e omplete in two an half hours; however, you may take an aitional thirty minutes to omplete the test. Instrutions During the test session, o not proee until instrute to o so. If you reeive a amage or misprinte ooklet, raise your han an the exam supervisor will give you a new one. You are expete to remain in the room for the first hour an a half of the test session. You may only leave efore that time for exeptional irumstanes, suh as illness. Shoul you nee to temporarily leave the room, you will e aompanie y a teaher. To write the test you shoul only have the test materials, penils, an eraser, a foreign language itionary (if require), a ruler, an an approve alulator. All work must e omplete in the Examination Booklet. Tear-out Formula Sheets are provie in your Examination Booklet. You may not isar any materials. The Examination Booklets with the exeption of the Formula Sheets, must remain intat. You may not leave the room with any test materials. You will not reeive assistane from, nor give assistane to, another stuent. If you require something uring the test, raise your han an the exam supervisor will ome to you. During the test, the exam supervisor an only help you with the iretions, not the test questions. Eletroni ommuniation through phones, , or file sharing uring the test is stritly prohiite. Turn off your ell-phones an all other prohiite eletroni evies at this point.

4 Selete Response You must use a penil to fill in the ules on the Bule Sheet. Make sure that the question numer from the Examination Booklet orrespons with the same numer on the Bule Sheet. Shae only one irle for eah question. If you want to hange an answer, ompletely erase the shae irle an fill in your new hoie. Although you are enourage to show your work for the Selete Response questions in your Examination Booklet, only the answers on the Bule Sheet will e reore an marke. Rememer to attempt all Selete Response questions. Marks will not e eute for inorret responses. Construte Response For the Construte Response questions, all work must e one in the Examination Booklet an points are earne for orret work so ensure that you show all your work. The value for eah Construte Response is given at the ottom of the page in the righthan orner. The Answer Box is reserve for your final answer an/or summary statement. Use the lank spae to show your alulations an proess. When units are use in a question, it is expete that you inlue units in your answer. The wor solve implies solving the prolem algeraially. When instrute to so o, roun off appropriately. Test-Taking Strategies Rememer that iagrams are not neessarily rawn to sale. Always rea eah question arefully. Stuy the iagrams an graphs, paying partiular attention to measures, markings, an relationships efore attempting an answer. Draw a piture or iagram to help you solve some prolems. If you get stuk on a question, go on to the next question. Come ak to any skippe questions at the en. Re-rea the question if neessary. Answer every question, even if you are unsure that you are orret. Use any extra time to hek your answers. Ensure that your alulator is in egrees.

5 Page 1 1) Determine the measure of angles in stanar position ( 0 < i < 360 ), that have a referene angle i R = 15. a

6 Page ) The point ^6, - 8hlies on the terminal arm of an angle, i, in stanar position. Determine the exat trigonometry ratio for sin i.. a

7 Page 3 3) A 14 m flagpole is starting to lean as its ase eroes. To prevent the flagpole from falling, a ale is attahe 4 m from the top of the flagpole an is seure in the groun 10 m from the ase of the flagpole. If the flagpole is leaning 5 from the vertial, how long is the ale, roune to the nearest tenth of a metre? a 0.9 m 14.1 m 14.7 m 17.9 m

8 Page 4 4) Compare the quarati funtion y =-3^x-4h - 7 to the quarati funtion y = x. a The paraola opens own, is narrower an has een translate horizontally 4 units to the right an vertially 7 units ownwar. The paraola opens own, is wier an has een translate horizontally 4 units to the left an vertially 7 units ownwar. The paraola opens up, is narrower an has een translate horizontally 4 units to the left an vertially 7 units ownwar. The paraola opens up, is wier an has een translate horizontally 4 units to the right an vertially 7 units ownwar.

9 Page 5 5) A movie store sells movies for $4 eah. At this prie, their weekly sales are approximately 100 movies. Researh says that for every $ inrease in prie, the store will sell 5 fewer movies. Determine the prie that will give the maximum revenue. a $9 $18 $ $110

10 Page 6 6) A golf all follows the path of the equation h ( ) = where h() is the height of the all in metres an is the horizontal istane in metres. If the golfer is 14 m from a irular islan that has a iameter of 9.5 m, oes the all lan on the islan? 14 m 9.5 m a Yes. The all lans on the islan. No. The all lans in the water efore the islan. There is not enough information provie to raw a onlusion. No. The all passes over the islan an lans in the water on the farsie.

11 Page 7 7) Express in simplest form: a

12 Page 8 8) Solve: x = 5 a x = 1 x = 3 x = 5 No Solution

13 Page 9 9) A grey piee of tile with imensions ^ 3 + 1hy 3 has a white piee of tile with imensions ^ + 1h y ^ - 1hplae on top of it as shown in the iagram elow. What is the area of the grey tile whih remains expose? ^ + 1h 3 ^ - 1h ^ 3 + 1h a

14 Page 10 10) Solve: x -6 x - = 3 x - 8x+ 15 a x = x = 3 x = x = 3 x = 6 x = -1

15 Page 11 11) A grae 11 math lass was hallenge with this question: A funtion y = f(x) is graphe, as shown elow; how many vertial asymptote(s) oes the reiproal funtion have? y x a 1 3 4

16 Page 1 1) Solve the system of equations: 5x- y+ 14 = 0 y =- 3x + x - 6 a no solution (0, -6) (-, -0) an (3, -30) (0, 6) an (-, )

17 Page 13 13) What is the solution to the inequality 6x -x- > 0? a 1 x 1, x x 1-, x x x 1 3

18 Page 14 14) On the first ay of eah month, Mihael plaes money in his piggy ank. The first month he plaes $5 in the piggy ank. The seon month he plaes $7 in the piggy ank, an the next month he plaes $9 in the piggy ank. If this pattern ontinues, how muh money will Mihael have plae in the piggy ank uring a two year perio? a $51 $636 $67 $696

19 Page 15 15) The population of a ommunity was at the eginning of 010. Assuming that the population inreases at a rate of 1.6% per year sine 010, what will the population e at the eginning of 035? a

20 Construte Response

22 Page 16 16) Fin θ. Roun the answer to the nearest egree θ Answer: 16. For Department Use Only Value of 1

23 Page 17 17) Use a quarati funtion to moel an solve the given prolem: A lansaper is esigning a 6 m y 8 m retangular garen that will then e surroune y a uniform orer of rushe stone. She has enough rushe stone to over 7 m². What is the with of the orer if she uses all of the rushe stone? Answer: 17. For Department Use Only Value of 3

24 Page 18 18) Solve an ientify all non-permissile values. 9x x x 6 x 3 = Answer: 18. For Department Use Only Value of 3

25 Page 19 19) Solve : x + 5x = x Answer: 19. For Department Use Only Value of 3

26 Page 0 0) The monthly proution of rue oil, in arrels, for the first four months for a test well at Heron is given elow. In theory, what is the expete lifetime proution of the well, to the nearest arrel? Month # of Barrels Answer: 0. For Department Use Only Value of

27 Pre-Calulus 11 Formula Sheet Tear-out Page tn = t1 + ^n- 1h S S n n = ^ t 1 + t nh n = 6 t + ^ n - 1 n 1 sin sin sin a A = B = C t n S S S = t1 r n n 3 n-1 rt - t = r - 1 n 1 n t ^r - 1h t = r - 1 = 1 1 -t t = 1 r - 1 = r n ^1 - r h 1 - r y = a^x- ph + q y = ax + x+! 4a x = - - a q = -ap p = - a = a + - aos C Fol an tear along perforation The gri (elow) an e use to help you with any questions. It is suggeste that you plae the gri paper uner the question sheet an trae over it so you an reuse the gri throughout the assessment. 30 3

Sampler-A. Secondary Mathematics Assessment. Sampler 521-A

Sampler-A. Secondary Mathematics Assessment. Sampler 521-A Sampler-A Seondary Mathematis Assessment Sampler 521-A Instrutions for Students Desription This sample test inludes 14 Seleted Response and 4 Construted Response questions. Eah Seleted Response has a