EAO. S Student. Sample Assessment Questions: Applied. Student Answer Sheet. Grade 9 Assessment of Mathematics Winter 2008.

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1 Education Quality and Accountaility Office EAO Grade 9 Assessment of Mathematics Winter 28 Sample Assessment Questions: Applied Student Answer Sheet Enter your multiple-choice answers on this sheet.. To indicate your answer, use an HB pencil to fill in the circle completely, as shown elow: Like this: Not like this:. If you fill in more than one answer to a question, the question will e scored incorrect.. leanly erase any answer you wish to change and fill in the circle for your new answer Respond in ooklet Respond in ooklet. 16. Respond in ooklet Respond in ooklet. End of Assessment Print Student Name: Student Signature: S Student Answer Sheet Sample Assessment Questions

2 Triangle P=a++c A_h 2. MFM 1PI Meaurement Formula Sheet Geometric Figure Perimeter Area Rectangle P=1+l+w+w A=lw 1 I jw or I ri P=2a w) Parallelogram p A = h / /I I or : /c or A=+h Trapezoid P=a++c+d A=(a+)h a 2 or A=+(a+)h ircle =itd A=itr or =2icr 2

3 Geometric Figure Volume ylinder = (area of ase)(height) h V = itr 2h Sphere V = itr or = itr one V = (area of ase)(height) V=+7tr 2h 2h or V= icr Squareased pyramid V = (area of ase)(height) V=+ 2h or V= 2h Rectangular prism V = (area of ase)(height) h V=lwh Triangular prism V = (area of ase)(height) h V=lh or V lh

4 . height Multiple-hoice Grade 9 Assessment of Mathematics, Winter 28 A carton that holds 5 ml of chocolate What is the value of the expression milk costs $ I -1+? Which of the following containers has a 1 lower cost per ml? a 25OmLat$l.29 a 7mLat$.9 75OmLat$.59 d 1 ml at $.69 2 equivalent to -LQ 1 FJ Which of the following fractions is not d a. 5 1 U 78 1 The volume of a cylinder is 25 is 8.5 cm. -o Hint:Vicrh cm. Which is closest to the measure of the radius? The El Aidan is uying a new D player. The.9 cm D player was selling for $8.79 and 6.9 cm now is on sale for 25% off. Which of the following is closest to the total cost of the cm D player, including 15% sales tax? d 8.2 cm a $5.5 $6.59 $7.1 d $7.9 U a What is the solution to the equation x + 8 = 12x 1? a 27 9 c9 d 27 2

5 Grade 9 Assessment of Mathematics, Winter 28 Open-Response 5 Field Maintenance A field in the shape of a trapezoid has a perimeter of 6 m. A fence is eing uilt along the field s perimeter. 8(x + 2) (x 2) 7x 8 Determine the length of fencing needed for each side of the field. Show your work.

6 .,.. Multiple-hoice Grade 9 Assessment of Mathematics, Winter 28 I Mia delivers the local newspaper. Her ase pay is $5 per week, and she gets $.25 per paper. P Pay vs. Numer of Papers Delivered U Which of the following graphs represents a linear relation? a fu U. 9c. I >1. ID , 1..u - h Numer of papers delivered Which of the points on the graph represents Mia s pay for delivering 25 newspapers in a week? a Point R PointS PointT d Point U dh

7 Grade 9 Assessment of Mathematics, Winter 28 Multiple-hoice EE Simon records the height of a plant each day for five days. Plant Growth Over Five Days Day Height 1 2 His chart shows that the relation etween height and day (cm) a is a linear relation. is a non-linear relation has a constant rate of change. d has a decreasing rate of change. II Victoria is selling chocolate ars to raise money for her hockey team. She egins with 6 ars to sell and sells four ars per day. Which of the following represents the relation etween N, the numer of chocolate ars remaining, and d, the numer of days she has een selling? a N=6+d N=6d Numer Day, d of ars remaining, N First.. differences d Numer Day, d of ars remaining, N First.. differences : 5

8 Multiple-hoice Grade 9 Assessment of Mathematics, Winter 28 IF Tyler elongs to fitness clu at the community centre. The graph elow a represents the relationship etween the numer of times he visits the clu and his total monthly cost. Total Monthly ost vs. Numer of Visits 7 6., > H- *1- * E A tap is leaking into a pail. The height of the water in the pail is represented y the equation h =.5t + 2, where h represents the height of water in the pail, in cm, and t represents the amount of time the tap has een leaking, in minutes. the height of water in the pail if the tap has een leaking for 56 minutes? What is a 28cm d cm 18cm 11cm E 2 In Numer of visits What type of variation is this relationship, and what is the initial value? a Direct variation, and initial value d is Partial variation, and initial value is Direct variation, and initial value is 2 Partial variation, and initial value is 2 6

9 Grade 9 Assessment of Mathematics, Winter 28 Multiple-hoice ri The relationship etween t, the numer of minutes Shufrah travels, and D, the distance she is from home, is shown on the grid elow. E..G D Shufrah s Travels ) O.%J : :: E E E : : : : E E : I E Time (mm) t Which of the following statements est descries the way Shufrah travels? a d While travelling toward her home, Shufrah rides her ike, stops and then walks. While travelling toward her home, Shufrah rides her ike, walks and then rides her ike. While travelling away from home, Shufrah rides her ike, stops and then walks. While travelling away from home, Shufrah walks, rides her ike and then walks. 7

10 Open-Response Grade 9 Assessment of Mathematics, Winter 28 Makin a Profit! Student council is planning a dance.. The cost to hire a DJ is $.. Tickets are sold at $6 each.. The profit is ased on the amount received from the tickets sold minus the cost of the DJ. omplete the tale of values to show the profit ased on the numer of tickets sold. Profit from Ticket Sales Numerof tickets sold Profit ($) Graph these data on the grid elow. P Profit vs. Numer of Tickets Sold a EQ 11) ; - n Numer of tickets sold 8

11 Grade 9 Assessment of Mathematics, Winter 28 Open-Response IE Rockin Radicals The Radicals, a small high school and, recently signed a contract with a record lael. Their earnings include a signing onus plus an amount per D sold, as shown in the tale elow. Numer of Ds Band earnings ($) Determine the amount of the signing onus and the amount they receive per D. Show your work. 9

12 Multiple-hoice Grade 9 Assessment of Mathematics, Winter 28 iti Germaine wants to calculate the area of the shape shown elow. It is composed of a rectangle and two semicircies. ie A soccer all is packaged in a cue-shaped ox. 2 cm Which of the following pairs of expressions should Germaine use to determine the area of the shape? a 2(l+w), n-r 2(1 + w), 2 rrr lw,2itr d lw,irr ie Silvia is making lemonade. She is using a cylindrical container with a radius of 1 cm and a height of cm, as shown elow. 2Ocm 1 2 cm Which is closest to the volume of the space in the package that is not occupied y the all? a 811cm cm 187 cm d 8 cm The measure of ZAB is 9. I I cm Which of the following is closest to the volume of the container? a 7 7cm 925 cm 1885 cm A F What are the values ofx andy? a x = 9 andy = 11 x=9 andy9 x= 11 andy= 11 d x = 11 andy = 9 x G d 6 cm 1

13 Grade 9 Assessment of Mathematics, Winter 28 Open-Response II Paint Jackson is uying paint for his wall m 12 m One litre of paint will cover 9 m2. How many litres of paint does he need to cover the wall? Justify your answer. 11

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