Released Assessment Questions, 20 16

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1 Released Assessment Questions, Grade 9 Assessment of Mathematics, Academic For Use with Assistive Technology: Listen as your teacher reads the instructions. Some key points are listed below. Make sure you have the Formula Sheet for reference. The diagrams in this booklet are not all drawn to scale. Answering Multiple-Choice Questions: Answer all multiple-choice questions. If you fill in more than one answer to a question, or leave a question blank, the question will be scored zero. Incorrect answers will also be scored zero. Answering Open-Response Questions: Do all of your work for each question in the space provided for the question only. Write your solutions, including all calculations, clearly and completely. Attention: The format of this document differs from that of the actual assessment booklets, as the questions are sorted by strand. There are more multiple-choice and open-response questions in this document than in a regular booklet. You are now ready to start. Education Quality and Accountability Office, 2 Carlton Street, Suite 1200, Toronto ON M5B 2M9 Telephone: Web site: Queen s Printer for Ontario.

2 Multiple-Choice,questions1to8: 25over8, 25over4, 25over2, metres: metres: metres: metres: Question 1: A ball is dropped from a height of 25 metres. The ball s height, capital H, in metres, after n bounces is represented by the equation below. CapitalH=25([bracket]1over2[bracket])tothepowerofn: What is the height of the ball after 4 bounces? A: over16, 1111 B: C: D: Question 2: A cube with a given side length is pictured below. Thelengthofonesideofthisfaceislabeledx. Which algebraic expression represents the area of one face of the cube? A: 2x: B: 4x: C: x 2 tothepowerof : D: x 3 tothepowerof :

3 Question 3: A school is planning a car wash to raise 600 dollars. There will be 8 teams. Each team will wash 2 cars per hour. The car wash will last hours. 5andahalf Each team will take two 15-minute breaks. How much should the school charge per car to raise exactly 600 dollars? A: 15 dollars: B: 7 dollars and 50 cents: C: 6 dollars and 82 cents: D: 6 dollars and 25 cents: Question 4: Which of the following is equivalent to: 3,([bracket]5x minus 1),[bracket] minus 2,([bracket]3x plus 5) [bracket]? A: 9x minus 13: B: 9x plus 4: C: 21x minus 13: D: 21x plus 4:

4 Thehorizontalaxis,labeledNumberofweks,n,startsat0andeveryothergridlineislabeledinincrementsof1,upto6.Theverticalaxis,labeledHeightincentimetres,capitalH,startsat0andeveryothergridlineislabeledinincrementsof1,upto7.Fivepointsareshownonthegrid.Herearethecordinatesforeachpoint: 1,0decimal5:2,1: 3,2:4,3decimal5: 5,6: Numberofweks,1:Height,2centimetres: Numberofweks,2:Height,3centimetres: Numberofweks,6:Height,5centimetres: Numberofweks,2:Height,1centimetre: Numberofweks,3:Height,2centimetres: Numberofweks,5:Height,6centimetres: Question 5: Information about the relationship between the height of a plant and time is shown on the grid below. Which table of values shows only information about this relationship? A: B:

5 Numberofweks,1:Height,1centimetre: Numberofweks,2:Height,2centimetres: Numberofweks,4:Height,7centimetres: Numberofweks,2:Height,1centimetre: Numberofweks,3:Height,2centimetres: Numberofweks,4:Height,4centimetres: C: D:

6 Thehorizontalaxis,labeledNumberofgames,n,startsat0andeveryothergridlineislabeledinincrementsof1,upto4.Theverticalaxis,labeledTotalcostindolars,capitalC,startsat0andeveryothergridlineislabeledinincrementsof10,upto50.Alineisdrawnonthegrid.Theco-ordinatesof3pointsalongthislineare: 0,10:1,20:2,30: Numberofgames,n,andTotalcost,capitalC,indolars. Numberofgames,3:Totalcost,51dolars: Numberofgames,5:Totalcost,85dolars: Numberofgames,9:Totalcost,1hundred53dolars: Numberofgames,12:Totalcost,204dolars: Question 6: Two golf courses offer student memberships. Information about the linear relationships between the total cost, capitalc, in dollars, and the number of games played, n, at these two golf courses is given below. Which of the following statements correctly describes the two relationships? A: They are both direct variations. B: The first is a direct variation, and the second is a partial variation with an initial value of 17 dollars. C: The first is a partial variation with an initial value of 10 dollars, and the second is a direct variation. D: The first is a partial variation with an initial value of 10 dollars, and the second is a partial variation with an initial value of 17 dollars.

7 Thehorizontalaxis,labeledTimeinseconds,t,startsat0andeveryothergridlineislabeledinincrementsof2,upto8.Theverticalaxis,labeledDistancefromwalinmeters,capitalD,startsat0andeveryothergridlineislabeledinincrementsof2upto6.Threlinesegmentsthatarejoinedareplotedonthegraph.Thendpointsofeachlinesegmentare: 0,2,and,3,5: 3,5,and,6,5: 6,5,and,9,2decimal8: Question 7: The graph below represents Joe s distance from a wall as he walks. Which statement could describe Joe s walk? A: Joe walks toward the wall, stands still and then walks away from the wall. B: Joe walks away from the wall, stands still and then walks toward the wall. C: Joe walks toward the wall, stands still and then continues to walk toward the wall. D: Joe walks away from the wall, stands still and then continues to walk away from the wall.

8 Thehorizontalaxis,labeledn,startsat0andeveryothergridlineislabeledinincrementsof1,upto3.Theverticalaxis,labeledcapitalP,startsat0andeveryothergridlineislabeledinincrementsof1,upto6.Alineisdrawnonthegraph. Herearethecordinatesoftwopointsontheline:0,6,and,3,0: Question 8: Consider the graph below. Which of the following is an equation representing this graph? A: capital B: capital C: capital D: capital P = 2n plus 6: 11 P = n plus 1over2, 22 6: P = negative 2n plus 6: 11 P = negative n plus 1over2, 22 6:

9 Open-Response,questions9to14: Capital A: =. Question 9: Floored Areas: The diagram of the floor shown below has algebraic expressions for the lengths of its sides, in metres. Itismadeofalargerectanglewhereasmalrectangularcornerisremovedfromitsbotomrightcorner.Theleftsideoftheflorplan,isthewidthofthelargerectangleanditislabeled7x.Thetopsideoftheflorplanisthelengthofthelargerectangleanditislabeled4xminus3.Continuingclockwisearoundtheflorplan,fromthetoprightcornerofthelargerectangle,thenextsideislabeled5x.Thenextsideisthetopsideofthesmalrectanglewhichisremoved,itislabeledx.Continuingon,thenextsideistheleftsideofthesmalrectanglethatisremoved,itislabeled2x.Thefinalbotomsideoftheflorplanislabeled3xmi nus3. Determine an unsimplified expression for the total area of the floor, capit al A, in metres squared. [blankspace] Simplify your expression fully. Show your work.

10 NumberofoldsandNumberoflayers: Numberofolds,0:Numberoflayers,1: Numberofolds,1:Numberoflayers,2: Numberofolds,2:Numberoflayers,4: Numberofolds,3:Numberoflayers,blankspace: Numberofolds,4:Numberoflayers,blankspace: Question 10: Folding Time: A piece of paper is folded in half, which results in two layers of paper. Then the paper is folded in half again to make four layers, and so on. Inthefirststagethepaperhasnotbenfolded.Ithas0foldsand1layer.Inthesecondstagethepaperhasbenfoldedinhalfonce.Ithas1foldand2layersareshown.Inthethirdstagethepaperhasbenfoldedinhalfagain.Ithas2foldsand4layersareshown: The number of layers and the number of folds are recorded in the chart. Determine whether this relationship is linear or non-linear. Circle one: Linear: Non-linear: Justify your answer. You have the option of using the grid if you wish.

11 Thehorizontalaxis,labeledNumberofolds,f,startsat0andeveryothergridlineislabeledinincrementsof1,upto5.Theverticalaxis,labeledNumberofLayers,capitalL,startsat0andeveryothergridlineislabeledinincrementsof4,upto32:

12 Numberofprograms,n,andTotalcost,capitalC,indolars. Numberofprograms,3hundred50:Totalcost,2hundred20dolars: Numberofprograms,50:Totalcost,2hundred50dolars: Numberofprograms,7hundred50:Totalcost,30dolars: [Blankspace]. Question 11: Theatre Programs: A company charges schools to print programs for school plays. Information about the linear relationship between the total cost and number of programs printed is shown below. Determine an equation to represent this relationship. Show your work. You have the option of using the grid if you wish.

13 Line Both: Question 12: Standard Lines: Two lines are represented by the equations below. Line 1: x minus 2y plus 6 = 0: Line 2: 3x plus 6y minus 18 = 0: Determine which line could be represented by y = negative 1over2, x plus 3. Circle one: Line 1: 2: Justify your answer. Include information for both Line 1 and Line 2.

14 .. Question 13: Terrific Tes: A school orders T-shirts from Terrific Tes. The total cost is made up of a set-up fee of 1 hundred15 dollars and a cost of 3 dollars per T-shirt. Terrific T es requires a minimum order of 25 T-shirts. The school can spend a maximum of 800 dollars. Determine all the possible values of the total cost, capital C, and the number of T-shirts, n, for this situation. Show your work. The possible values of n in this situation are [blankspace] The possible values of capital C in this situation are [blankspace]

15 Value,andJustificationusingeometricproperties: Value,x=blankspace: Justificationusingeometricproperties,blankspace: Value,y=blankspace: Justificationusingeometricproperties,blankspace: Question 14: Six and Five Sides: A regular hexagon and a regular pentagon are joined as shown below. Theyareconectedbyasharedside.Aninteriorangleoftheregularhexagoneislabeledx.Atonendofthesharedside,wherethesideofthehexagoneandpentagonemet,thexteriorangleislabeledy.Thisangleisnotineithershape: Complete the table below with the values of x and y. Justify your answer using geometric properties.

16 Multiple-Choice,questions15to2: Informationabout2oftherelationshipsishownintablesandtherearegraphsoftheother2relationships. Relationship1:Thereisatablewithtwocolumns;nandCapitalC: n,0:capitalc,50: n,8:capitalc,90: n,16:capitalc,1hundred30: Relationship2:Thereisatablewithtwocolumns;nandcapitalC: n,10:capitalc,30: n,12:capitalc:35: n,14:capitalc,40: Relationship3:Anuntitledgraphishown.Thehorizontalaxis,labeledn,startsat0andeveryothergridlineislabeledinincrementsof2,upto6.Theverticalaxis,labeledcapitalC,startsat0andeveryothergridlineislabeledinincrementsof10,upto30.Alineisdrawnonthegraph.Thecordinatesoftwopointsonthelineare:0,5,and,2,10: Relationship4:Anuntitledgraphishown.Thehorizontalaxis,labeledn,startsat0andeveryothergridlineislabeledinincrementsof2,upto6.Theverticalaxis,labeledcapitalC,startsat0andeveryothergridlineislabeledinincrementsof2,upto6.Alineisdrawnonthegraph:Thecordinatesoftwopointsonthelineare:0,5,and,2,5: Question 15: Information about four different linear relationships between capital C and n is shown below. How many of the linear relationships have a rate of change of 5? AnswerChoices: A: 4: B: 3: C: 2: D: 1:

17 Thehorizontalaxis,labeledxstartsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Theverticalaxis,labeledy,startsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Alineisgraphedonthegrid.Thecordinatesoftwopointsonthelineare: 0,negative4,and,3,0: Thehorizontalaxis,labeledxstartsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Theverticalaxis,labeledy,startsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Alineisgraphedonthegrid.Thecordinatesoftwopointsonthelineare: Negative4,0,and,0,negative3: Question 16: Which graph shows a line that is perpendicular to the line y = 44 x minus 4? 334over3, A: B:

18 Thehorizontalaxis,labeledxstartsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Theverticalaxis,labeledy,startsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Alineisgraphedonthegrid.Thecordinatesoftwopointsonthelineare: 0,4,and,3,0: Thehorizontalaxis,labeledxstartsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Theverticalaxis,labeledy,startsatnegative4andeveryothergridlineislabeledinincrementsof2,upto4.Alineisgraphedonthegrid.Thecordinatesoftwopointsonthelineare: Negative3,0,and,0,4: C: D: Question 17: What is an equation of the line: perpendicular to the line represented by y = negative x plus 3over2, 22 1, 33 and, with the same y-intercept as the line represented by y = 7 plus 5x? A: y = 2over3, B: y = 2over3, x plus 7: x plus 5: C: y = negative 2over3, D: y = negative 2over3, x plus 7: x plus 5:

19 Question 18: The total cost to repair a fridge, capitalc, in dollars, can be represented by the equation capitalc = 60t plus 30, where t is the repair time in hours. Which of the following statements is true about this relationship? A: The hourly rate is 90 dollars. B: The fixed fee is 90 dollars. C: The hourly rate is 60 dollars, and the fixed fee is 30 dollars. D: The hourly rate is 30 dollars, and the fixed fee is 60 dollars. Question 19: What is the area of the shape represented below? Alargetrianglewithitsbaseathetopandvertexathebotom,hasasmalertrianglewithitsbaseathetopandvertexathebotom,removedfromit.Thesmalandlargetrianglesharethesamebase.Thelengthofthebaseislabeled14centimetres.Theheightofthesmaltrianglethatisremovedislabeled8centimetres.Theremainingheightofthelargetriangle,withoutheheightofthesmaltriangleislabeled12centimetres. A: 28 centimetres squared: B: 56 centimetres squared: C: 84 centimetres squared: D: 1 hundred68 centimetres squared:

20 Question 20: This diagram shows a greenhouse that is built in the shape of a half-cylinder. Thecurvedsideofthehalf-cylinderformstherofofthegrenhouse.Therectangularfaceofthehalf-cylinderisflatontheground.Thelengthofthisrectangularfaceis80metres.Thewidthofthisrectangularfaceis20metres.Thewidthisalsothediameterofthehalf-cylinder.Thetwosemi-circularfacesthatarethendsofthegrenhouseareshaded: Material to cover the roof costs 3 dollars per metre squared. The shaded ends will not be covered. Which is closest to the cost of covering the roof? A: 7 thousand5 hundred40 dollars: B: 12 thousand5 hundred70 dollars: C: dollars: D: 37 thousand700 dollars:

21 Theheightoftheconeis12centimetresandthediameterofthecircularbaseis10centimetres.Thereisarightanglebetwentheheightandiameter. Question 21: A cone is pictured below. Hint: Use Pythagorean theorem as part of your process. Which of the following is closest to the surface area of the cone? A: 2 hundred67 centimetres B: 2 hundred83 centimetres C: 6 hundred91 centimetres D: 7 hundred23 centimetres squared: squared: squared: squared:

22 Onesideofthesquareisthesameasonesideofthepolygon.A6sidedfigureishown.Itisformedbycombiningthesquarewitha4sidedshape. Onesideofthesquareisthesameasonesideofthepolygon.A7sidedfigureishown.Itisformedbycombiningthesquarewitha5sidedshape: Onesideofthesquareisthesameasonesideofthepolygone.A9sidedfigureishown.Itisformedbycombiningthesquarewitha7sidedshape: Onesideofthesquareisthesameasonesideofthepolygone.A10sidedfigureishown.Itisformedbycombiningthesquarewithan8sidedshape: Question 22: Which of the following composite shapes has 900 as the sum of its interior angles? A: B: C: D: