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

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1 Sampler-A Seondary Mathematis Assessment Sampler 521-A

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3 Instrutions for Students Desription This sample test inludes 14 Seleted Response and 4 Construted Response questions. Eah Seleted Response has a value of 1. The value for eah Construted Response is given at the bottom of the page in the right-hand orner. The questions are from the following strands: Geometry Logi and Reasoning Measurement Relations and Funtions Statistis The atual assessment was developed to be ompleted in two and half hours; however, you may take an additional thirty minutes to omplete the test. Instrutions During the test session, do not proeed until instruted to do so. If you reeive a damaged or misprinted booklet, raise your hand and the exam supervisor will give you a new one. You are expeted to remain in the room for the first hour and a half of the test session. You may only leave before that time for exeptional irumstanes, suh as illness. Should you need to temporarily leave the room, you will be aompanied by a teaher. To write the test you should only have the test materials, a penil, an eraser, a foreign language ditionary (if required), a ruler, and an approved alulator. All work must be ompleted in the Examination Booklet. Tear-out Formula Sheets are provided in your Examination Booklet. You may not disard 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 student. If you require something during the test, raise your hand and the exam supervisor will ome to you. During the test, the exam supervisor an only help you with the diretions, not the test questions. Eletroni ommuniation through phones, , or file sharing during the test is stritly prohibited. Turn off your ell-phones and other prohibited eletroni devies at this point.

4 Seleted Response You must use a penil to fill in the bubbles on the Bubble Sheet. Make sure that the question number from the Examination Booklet orresponds with the same number on the Bubble Sheet. Shade only one irle for eah question. If you want to hange an answer, ompletely erase the shaded irle and fill in your new hoie. Although you are enouraged to show your work for the Seleted Response questions in your Examination Booklet, only the answers on the Bubble Sheet will be reorded and marked. Remember to attempt all Seleted Response questions. Marks will not be deduted for inorret responses. Construted Response For the Construted Response questions, all work must be done in the Examination Booklet and points are earned for orret work so ensure that you show all your work. The value for eah Construted Response is given at the bottom of the page in the righthand orner. The Answer Box is reserved for your final answer and/or summary statement. Use the blank spae to show your alulations and proess. When units are used in a question, it is expeted that you inlude units in your answer. The word solve implies solving algebraially; prove means proving dedutively. When instruted to so do, round off appropriately. Test-Taking Strategies Remember that diagrams are not neessarily drawn to sale. Always read eah question arefully. Study the diagrams and graphs, paying partiular attention to measures, markings, and relationships before attempting to answer. Draw a piture or diagram to help you solve some problems. If you get stuk on a question, go on to the next question. Come bak to any skipped questions at the end. Re-read 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 degrees.

5 Seleted Response

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7 Page 1 1) John determined the measure of x in the diagram shown below. 72 (3x) 46 x 110 John s solution: 1. Eah angle in the diagram is an exterior angle at one vertex of a pentagon, and their sum is given by the expression x + 3x , or 4x Sine there are 540 in the sum of the measures of the angles in a pentagon, then 4x = Solve for x: 4x = x = x = Therefore the value of x is 77. However, John made an error in his reasoning. Identify the step in his solution where John made his first error. a b d Step 1 Step 2 Step 3 Step 4

8 Page 2 2) What is the measure of a in the diagram below? 1 a a b d

9 Page 3 3) Determine the number of solutions for 3ABC where + A = 30, a = 14, and b = 41. a b d no solution one solution two solutions three solutions

10 Page 4 4) A soer ball is 4.1 m from one goal post and 3.9 m from the other goal post. The goal posts are 3.07 m apart, as shown in the diagram below. Within what angle, to the nearest degree, must the ball travel in order to sore a goal? 3.07 m 3.9 m 4.1 m θ a b d

11 Page 5 5) Determine whih of the following demonstrates this statement dedutively. Let m and n represent any integer. The sum of an even number and a number that is divisible by 4 is an even number. a b d 2n + 4n = 6n = 2(3n) n + 4m 2n + 4m 2n + 4m = 2(n + 2m)

12 Page 6 6) In the ard game In Between, we take a standard dek of ards and remove the aes, jaks, queens, and kings. This leaves 4 ards of eah fae value from 2 to 10, inlusive. (So, for example, there are 4 ards of fae value 2, that is, 2 of diamonds, 2 of hearts, 2 of lubs, 2 of spades). Two ards are dealt, and you win if the third ard dealt is in between the first two in fae value. If you are dealt the 3 of lubs and the 6 of spades, how many possible ards will win the game for the third deal? a b d

13 Page 7 7) In a kennel, the dogs have a mean mass of 11 kg with a standard deviation of 2.5 kg. If there are 50 dogs in the kennel, how many of them would you expet to have a mass greater than 13.5 kg? a b d 8 dogs 16 dogs 34 dogs 42 dogs

14 Page 8 8) The results of a survey have a onfidene interval of 24% to 36%, 19 times out of 20. Determine the margin of error for this survey. a b d ± 5% ± 6% ± 30% ± 95%

15 Page 9 9) What is the boundary line for the linear inequality 4x- 2y 1 16? a b y y = 16-4x = 16-2x y = 8-2x d y =- 8+ 2x

16 Page 10 10) Whih quadrati funtion is represented by the parabola shown below? 4 y x a fx () = ^2- xh^1+ xh b fx () = ^x- 1h^x+ 2h fx () = ^x+ 1h^x- 2h d fx () = ^1- xh^2+ xh

17 Page 11 11) Determine the x- and y-interepts of the funtion: 2 fx () = x + 7x+ 10 a b d x-interepts: none y-interept: 10 x-interepts: 5 and 2 y-interept: 10 x-interepts: -5 and -2 y-interept: 10 x-interepts: -5 and -2 y-interept: none

18 Page 12 12) Whih of the following graphs represents the greatest rate of a ar s speed? a Distane Travelled (km) b Distane Travelled (km) Time (h) 1 2 Time (h) Distane Travelled (km) d Distane Travelled (km) Time (h) Time (h)

19 Page 13 13) The diameter of a wheel is 0.8 m. What sale fator was used to draw the sale diagram of the wheel shown below? 2 m a 40 1 b 5 2 d

20 Page 14 14) Two boxes are shown. The one on the left is a sale diagram of the atual box shown on the right. w 2.5w The surfae area of the atual box is: a b d 2.5 times larger than the surfae area of the sale diagram 2.5 times smaller than the surfae area of the sale diagram 6.25 times larger than the surfae area of the sale diagram 6.25 times smaller than the surfae area of the sale diagram

21 Construted Response

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23 Page 15 15) Find the aute value of θ. Round the answer to the nearest degree θ Answer: 15. For Department Use Only Value of 1

24 Page 16 16) Find the measure of eah indiated angle. Justify your answer. 37 z x y 132 Angle Measure Justifiation x = y = z = 16. For Department Use Only x y z Value of 3

25 Page 17 17) A manufaturer produes tires that have an average thikness of 179 mm, with a standard deviation of 0.9 mm. To be lassified as supreme quality, tires must have a thikness between mm and mm. What perent, to the nearest whole number, of the total prodution an be rated as supreme quality tires? Answer: 17. For Department Use Only Value of 3

26 Page 18 18) Use a quadrati funtion to model and solve the given problem: A landsaper is designing a 6 m by 8 m retangualar garden that will then be surrounded by a uniform border of rushed stone. She has enough rushed stone to over 72 m². What is the width of the border if she uses all of the rushed stone? Answer: 18. For Department Use Only Value of 3

27 2 y = a^x- hh + k 2 y = ax + bx+ y = a^x-rh^x- sh Foundations 11 Formula Sheet Tear-out Page = ars x r = + s 2 2 b! b 4a x = - - 2a Fold and tear along perforation. sin sin sin a A = b B = C = a + b - 2abos C The sum of the interior angles of a onvex polygon: 180 ^n - 2h The measure of an interior angle of a regular polygon: 180 ^n - 2h n n = / N x 34% 13.5% 2.35% v = /^x - nh N 2 μ - 3σ μ - 2σ μ - 1σ μ μ +1σ μ +2σ μ +3σ z x - n = v

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29 Fold and tear along perforation. Tear-out Page

30 The grid (below) an be used to help you with any questions. It is suggested that you plae the grid paper under the question sheet and trae over it so you an reuse the grid throughout the assessment.