Academic. Grade 9 Assessment of Mathematics. Released assessment Questions

Transcription

1 Academic Grade 9 Assessmet of Mathematics 2014 Released assessmet Questios Record your aswers to the multiple-choice questios o the Studet Aswer Sheet (2014, Academic). Please ote: The format of this booklet is differet from that used for the assessmet. The questios themselves remai the same.

2 Directios Make sure you have the followig materials: Studet Aswer Sheet the Formula Sheet a pecil ad a eraser a ruler a scietific or graphig calculator some paper for rough work for multiple-choice questios oly The diagrams i this booklet are ot all draw to scale. Aswerig Multiple-Choice Questios Whe aswerig the multiple-choice questios, be sure you use the Studet Aswer Sheet. The circles you will be fillig i are lettered a, b, c, d. 1. Try to aswer all of the multiple-choice questios. Be sure to read each questio ad its four aswer choices carefully. Do ot sped too much time o ay oe questio. 2. To idicate your aswer, use a pecil to fill i the circle completely o the Studet Aswer Sheet. Like this: Not like this: 3. If you fill i more tha oe aswer to a questio, the questio will be scored zero. 4. If you leave a questio blak, the questio will be scored zero. 5. Clealy erase ay aswer you wish to chage ad fill i the circle for your ew aswer. Aswerig Ope-Respose Questios 1. Do all of your work for each questio (eve your rough work) i the space provided for the questio. Work o additioal pages will ot be scored. 2. Preset a complete ad well-orgaized solutio to each questio. Give as much iformatio as you ca. 3. Write your solutios so that they ca be uderstood by someoe who does ot kow your work. 4. Make sure you follow the directios o the Key Words page. For example, a questio might ask you to Show your work. Read the Key Words page. It says to record all calculatios ad steps. So, if you sketch a graph i the process of gettig to your aswer, show the sketch ad label it. 5. Whe usig a calculator, write dow the umbers you use ad the operatios you carry out. For example, a questio might ask you to Fid the area of a circle with a radius of 7 cm. You eed to write A = π(7) 2 as well as the aswer you get o your calculator.

3 Key Words Throughout the assessmet, key words are used to idetify the type of respose required from you. The key words are explaied below. Refer to this sheet to make sure you are respodig fully to each questio. Compare: Tell what is the same ad what is differet. Describe: Use words to create a metal picture for the reader. Determie: Use mathematics to fid a solutio to the problem. List: Use poit form. Explai: Use words ad symbols to make your solutio clear. Justify: Give reasos ad evidece to show your aswer is correct. Show your work: Record all calculatios ad all the steps you wet through to get your aswer. You may use words, umbers, graphs, diagrams, symbols ad/or charts.

4 Multiple-Choice Grade 9 Assessmet of Mathematics, The followig is the formula for the area of a circle: A = πr 2 If the radius of a circle is 1.25 cm, which of the followig is closest to its area? a 15.4 cm 2 b 7.9 cm 2 c 4.9 cm 2 d 3.9 cm 2 4 Marc has a garde that is made up of three square sectios. He builds a fece o oe side of the garde as show below. M A T R I X l Area = m 2 Area = 6.76 m 2 2 What goes i the to complete the equatio below? a 3x 9 b 3x 4 c 16x 9 d 16x 4 (8x 3 )( ) 24x 12 3 A cellphoe compay offers four choices for purchasig talk time. Which of the followig has the lowest cost per miute? a 200 miutes for $24.50 b 550 miutes for $68.00 c 700 miutes for $80.25 d 850 miutes for $99.50 Area = m 2 Which of the followig is closest to the legth of the fece, l? a b c d 19.7 m 10.6 m 9.9 m 6.3 m 5 What is the value of x i the equatio a 24 b (2x 2 1) = 36? c d 25 2 Academic

5 Grade 9 Assessmet of Mathematics, 2014 Ope-Respose 6 share the Profits Three parters, Luc, Deborah ad Melaie, share the profits of a busiess i the ratio 2:3:7 respectively. The profit for this year is $ Determie the share of the profit for each parter. Show your work. Academic 3

6 Multiple-Choice Grade 9 Assessmet of Mathematics, Four stores hire people to deliver flyers. Each pays a differet amout per flyer delivered. The poits o the graph below show the total pay for a certai umber of flyers delivered for each of the stores. P Total Pay vs. Number of Flyers Store Z Total pay ($) Store X Store Y 20 Store W Number of flyers Which store will pay $45 for 450 flyers delivered? a b c d Store W Store X Store Y Store Z 4 Academic

7 Grade 9 Assessmet of Mathematics, 2014 Multiple-Choice 8 The total yearly cost of a museum membership is made up of a fee of $25, plus $5 per visit. c C Which graph best represets the relatioship betwee total yearly cost, C, ad umber of visits,? a C 0 d C 0 b C Gertrude sells shoes. Her total pay each week is made up of a base salary ad a commissio of 15% of her sales that week. Oe week, her total pay is $ ad she has $850 i sales. Which equatio below represets the relatioship betwee her total pay, P, each week ad sales, s? a P = 15s b P = s c P = s d P = s Academic 5

8 Multiple-Choice Grade 9 Assessmet of Mathematics, 2014 a0 Which of the followig shows data from a o-liear relatio? a P aa What is the value of P i the equatio below whe r = 27? a 214 b 210 c 14 d 18 P = 4 2 2r b P c P d P Academic

9 Grade 9 Assessmet of Mathematics, 2014 Multiple-Choice as The table below shows iformatio about the liear relatioship betwee Be s total savigs ad the umber of moths he saves moey. Number of moths, Total savigs, S ($) Which of the followig represets this relatioship? a S = b S = c d Total savigs ($) Total savigs ($) S S Total Savigs vs. Number of Moths Number of moths Total Savigs vs. Number of Moths Number of moths Academic 7

10 Ope-Respose Grade 9 Assessmet of Mathematics, 2014 ad more Moey, Please! The graph below shows iformatio about the amout of moey, A, i Shreya s bak accout ad the umber of moths,, she has had the accout. A Amout of Moey i Accout vs. Number of Moths Amout of moey i accout ($) Number of moths Draw the lie of best fit for the data. Determie the equatio of your lie of best fit. Show your work. 8 Academic

11 Grade 9 Assessmet of Mathematics, 2014 Ope-Respose af roll with It! The total cost at a amusemet park is made up of a admissio fee ad a cost per ride. Iformatio about the total cost for rides last year is show below C Total Cost vs. Number of Rides Last year Total cost ($) Number of rides This year, the cost per ride is reduced from last year, but the total cost for 10 rides is the same. Determie a possible equatio for the total cost, C, for this year. Iclude a admissio fee ad a cost per ride. Justify your aswer. Academic 9

12 Multiple-Choice Grade 9 Assessmet of Mathematics, 2014 ag The equatio of a lie is 5x 2 2y 1 10 = 0. Which of the followig expresses this equatio i the form y = mx + b? a y = 5 2 x 1 5 b y = 5 2 x 1 10 c y = x 1 5 d y = x 1 10 ah A formula for determiig the slope of a lie M is give below. A m y 2 T y 1 R x 2 x 1 I X What is the slope of the lie that passes through the poits (2, 3) ad (5, 26)? a 211 b 23 c d Academic

13 Grade 9 Assessmet of Mathematics, 2014 Multiple-Choice aj Cosider the lie represeted by the equatio y = 3x 1 2. A ew lie is formed by decreasig the slope ad icreasig the y-itercept. c y 6 4 Which of the followig could be the graph of the ew lie? x a y x d y x b y x Academic 11

14 Multiple-Choice Grade 9 Assessmet of Mathematics, 2014 ak Lee thiks of a lie represeted by the equatio y = 24x + 6. Which lie o the graph below is steeper tha Lee s lie ad has a y-itercept that has half the value of Lee s lie? 3 a b c d p q r u q 2 p y al A lie has a y-itercept of 4 ad a slope of 23. Which equatio represets this lie? a y = 4x 1 3 b y = 4x 2 3 c d y = 4 1 3x y = 4 2 3x u r x s0 The table below shows iformatio about the total cost to ret a car ad the distace drive. Distace drive, d (km) Total cost, C ($) What iformatio would the C-itercept ad slope of the graph of this liear relatioship give? a b c d There is o fixed fee, ad the cost per kilometre is $0.15. There is o fixed fee, ad the cost per kilometre is $0.65. There is a $50 fixed fee, ad the cost per kilometre is $0.15. There is a $50 fixed fee, ad the cost per kilometre is $0.65. sa Jared uses the equatio C = 30 to determie the cost, C, i dollars, for retig a car for days, where is a whole umber. If Jared ca sped a maximum of $200 o the retal, which of the followig describes the possible values of? a 7, 8, 9,... b 6, 7, 8, 9,... c 0, 1, 2, 3, 4, 5, 6 d 0, 1, 2, 3, 4, 5, 6, 7 12 Academic

15 Grade 9 Assessmet of Mathematics, 2014 Ope-Respose ss is It a Lie? Determie whether each of the relatios i the chart below is liear or o-liear. Justify your aswers. You may use the grid if you wish. 2x + 6y = 18 y = 4x Circle oe: Liear No-liear Circle oe: Liear No-liear Justificatio Justificatio y x Academic 13

16 Ope-Respose Grade 9 Assessmet of Mathematics, 2014 sd Movie Night There are two paymet optios for dowloadig movies from a Web site. Optio A: Pay $30 for a membership ad $2 per movie dowloaded. Optio B: Show o the grid below. 64 C Total Cost vs. Number of Movies Optio B Total cost ($) Number of movies Determie uder which coditios a perso should select Optio A ad uder which coditios a perso should select Optio B. Justify your aswer. 14 Academic

17 Grade 9 Assessmet of Mathematics, 2014 sf The diagram below is made of a right triagle ad three squares. Multiple-Choice sg The 5 km of highway betwee City X ad City Y is closed. There are two possible detour routes: oe through Tow A ad oe through Tow B, as show i the diagram below. Tow A m r p 12 km Which of the followig is represeted by this diagram? a p 2 = r 2 2 m 2 b p 2 = m 2 2 r 2 c r 2 = p 2 2 m 2 d r 2 = m 2 2 p 2 City X 5 km Tow B 3 km City Y How much shorter is the detour through Tow B tha the detour through Tow A? a b c d 7 km 9 km 16 km 18 km Academic 15

18 Multiple-Choice Grade 9 Assessmet of Mathematics, 2014 sh The sig below is made up of a rectagle ad a semicircle. sj The cotaier pictured below is made up of a coe ad a cylider. The coe ad the cylider have the same height. 15 cm 10 cm 40 cm 30 cm Which of the followig is closest to the area of the sig? a 347 cm 2 b 653 cm 2 c 1007 cm 2 d 1410 cm 2 12 cm Which of the followig is closest to the volume of the cotaier? a 2261 cm 3 b 3016 cm 3 c 3393 cm 3 d 4524 cm 3 sk What is the value of x i the diagram below? 38 x a 388 b 718 c 1048 d Academic

19 Grade 9 Assessmet of Mathematics, 2014 Multiple-Choice sl The sum of the iterior agles of a polygo is How may sides does the polygo have? a 19 b 17 c 15 d 13 Academic 17

20 Ope-Respose Grade 9 Assessmet of Mathematics, 2014 d0 coated Coes A ice cream store offers chocolate-coated coes as show i the diagram below. 6 cm 10 cm The coe is ope topped, ad the etire outside is coated i chocolate. Determie the area of the surface that is coated i chocolate. Show your work. 18 Academic

21 Grade 9 Assessmet of Mathematics, 2014 Ope-Respose da darig Diagram A diagram is show below. x x x 100 y Complete the table below with the values of x ad y. Justify your aswers usig geometric properties. Value Justificatio usig geometric properties x y Academic 19

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