Applied. Grade 9 Assessment of Mathematics. Winter 2007 SAMPLE ASSESSMENT QUESTIONS

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1 Applied Grade 9 Assessment of Mathematics Winter 7 SAMPLE ASSESSMENT QUESTIONS Please note: The format of these booklets is slightl different from that used for the assessment. The items themselves remain the same.

2 Multiple-Choice Grade 9 Assessment of Mathematics, Winter 7 The ratio of girls to bos in Mr. Dilworth s music class is 18:1. What percent of the students are bos? A 1% B % C 6% D 67% Ivan shows his steps in solving the following equation for : = 7 Step 1: = 7 Step : = Step : = Step : = 8 Which of the following epressions is equal to 9? F ( + ) G + H ( + ) J + In which step has Ivan made an error? F Step 1 G Step H Step J Step Herman uses his scientific calculator to determine the value of the epression π(.5). What is the approimate value of this epression? A 175. B C 179. D 179.6

3 Grade 9 Assessment of Mathematics, Winter 7 Open-Response Fabulous Fencing Pauline builds a fence around her garden, which is shaped like a parallelogram, as shown below. 1 Pauline uses 1 metres of fencing along the perimeter of the garden. Find the dimensions of her garden. Show our work.

4 Multiple-Choice Grade 9 Assessment of Mathematics, Winter 7 Sunil surves students to find out how much sleep the need. He finds that students need less sleep as the get older. The scatter plot below shows the number of goals scored versus shots on goal b different members of a soccer team during the course of a season. Which scatter plot most likel represents the surve results? Goals Scored vs. Shots on Goal 1 F Hours of sleep needed Age Goals scored Shots on goal G H Hours of sleep needed Hours of sleep needed Age Age What relationship is shown in the scatter plot? A B C D There is no relationship between shots on goal and the number of goals scored. The number of goals scored decreases as the number of shots on goal increases. The number of goals scored increases as the number of shots on goal increases. The number of goals scored stas the same no matter how man shots on goal are taken. J Hours of sleep needed Age

5 Grade 9 Assessment of Mathematics, Winter 7 Multiple-Choice Which graph does Julie draw? Which table shows a linear relationship between and? I drew the graph of a relation and found that it was non-linear. A F Julie B C 1 1 G D H J 5

6 Multiple-Choice Grade 9 Assessment of Mathematics, Winter 7 One spring afternoon, Michael records the outside temperature ever hour in the table below. A banquet hall charges a fied rate, plus a cost of $15 per person. For a part of 5 people, the total cost is $1. Time (h) Temperature ( C) Which equation models this relation, where C is the total cost, in dollars, and n is the number of people attending? 1 9. A C = n B C = n C C = 15n 5 D C = 15n The graph below represents the relationship between Jackie s salar, s, and the length of time she works, t. What is the rate of change of the temperature in relation to time? F G H. C/h C/h.9 C/h Salar ($) s Salar vs. Time J. C/h 1 1 t What is Jackie s salar when she works 8 h? F $ G $8 H $1 J $15 Time (h) 6

7 Grade 9 Assessment of Mathematics, Winter 7 Multiple-Choice The formula B = 1 h 156 gives water s boiling point, B, in degrees Celsius at an altitude of h metres. ºC Bizni is 1 m from a motion detector when he starts walking. The graph produced b the graphing calculator is shown below. Bizni s Walk What is the approimate boiling point of water at an altitude of 5951 m? D(M) A B C D 8 C 6 C 96 C 156 C T(s) How could Bizni change his walk to produce a graph with a negative rate of change? Internet Plus charges a base fee of $1 each month, and $.8 per minute. A B C D b walking farther awa from the motion detector at a constant speed b increasing his speed and walking awa from the motion detector b walking toward the motion detector at a constant speed b jumping up and down in front of the motion detector For how man minutes did Harpreet use the Internet if he is charged $ for a month? F G H J 5 min 511 min 55 min 7 min 7

8 Open-Response Grade 9 Assessment of Mathematics, Winter 7 Marathon Running Lisa and her mom decide to participate in a long-distance race called a marathon. Lisa s mom walks the marathon at an average of 1 kilometre ever 1 minutes, as shown b the graph. D Distance vs. Time 5 8 Lisa s mom s graph 6 Distance (km) t Time (min) Lisa starts the marathon hours after her mom started and averages 1 kilometre ever 5 minutes. When will Lisa pass her mom? Use a graphical model. 8

9 Grade 9 Assessment of Mathematics, Winter 7 Multiple-Choice A lawn care compan charges its customers based on the size of the lawn. The compan uses the following schedule. Vanessa draws a model of a map of Saskatchewan in the shape of a trapezoid. The dimensions represented on the map are shown below. Area of lawn Cost per month Less than m $5 Between m and 5 m $6 Between 5 m and m $7 Prince Albert 1 km Over m $8 Saskatchewan Saskatoon The compan is caring for Denton s lawn, which has the dimensions shown. Regina 15 km km 15 km 1 m m Which is closest to the area of Saskatchewan as represented b Vanessa s model? F 5 km G 58 km H 78 km 15 m J 888 km How much should Denton be paing per month? A $5 B $6 C $7 D $8 9

10 Multiple-Choice Grade 9 Assessment of Mathematics, Winter 7 A CD case has the dimensions shown in the drawing below..5 cm 1 cm 1.5 cm What is the volume of the CD case? A 6.5 cm B 7 cm C 87.5 cm D 175 cm Determine the value of. 8 F = 18 G = H = 8 J = 78 1

11 Grade 9 Assessment of Mathematics, Winter 7 Open-Response Big Bridge The dimensions of a side of a bridge are shown in the diagram below. The arches are semicircles with the same radius. m 8 m m m m Determine the area of the side of the bridge shown. Show our work. 11

12 The information in this booklet is being collected under authorit of clause (1) (b) and subsection 9 (6) of the Education Qualit and Accountabilit Office Act, 1996, for the purposes of administering and marking tests of pupils in secondar schools and evaluating the qualit and effectiveness of secondar education, in accordance with section of the Act. Inquiries regarding this collection should be directed to the Senior Polic Analst, EQAO, Carlton Street, Suite 1, Toronto, ON M5B M