Mathematics 2201 Common Mathematics Assessment June 12, 2013

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1 Common Mathematics Assessment June 1, 013 Name: Mathematics Teacher: 8 Selected Response 8 marks 13 Constructed Response marks FINAL 70 Marks TIME: HOURS NOTE Diagrams are not necessaril drawn to scale. FORMULAE = = = + = + = = = ±

2 Selected Response: Choose the appropriate response on the answer sheet or SCANTRON. 1. What is a statement that is believed to be true but not et proven? Conjecture Countereample Deductive Reasoning Inductive Reasoning. Which is a countereample to the statement The sum of two consecutive integers is alwas greater than each of the two integers? + 5= 9 + 5= 1 +5=1 +5=9 3. How man circles are in the 5 th diagram in the sequence below: 1st Diagram nd Diagram 3rd Diagram If two non-parallel lines are cut b a transversal, which pair of angles is alwas equal? Alternate Interior Corresponding Supplementar Verticall Opposite 5. A student was asked to find the measure of 1. In which step did he make the first error? Solution Step 1: 3= Step : 3=65 Step 3: 1= 3 Step : 1= Page of 13

3 6. How man sides does a conve polgon have if the sum of its interior angles is 10? What is the measure of? C 6.8 cm A cm B 8. Which equals the measure of? 5 A 7 C B 9 cos cos cos cos 9. Simplif completel: Simplif completel: 8 Page 3 of 13

4 11. Write 3 5 as an entire radical A student was asked to simplif Which step contains her first error? but did not complete a correct solution. Solution: Step 1: Step : Step 3: Step : Simplif completel: What are the restrictions on the variable for +? > > Page of 13

5 15. Which represents data with the largest standard deviation? The histogram shown represents the heights of hocke plaers on a professional hocke team. How man plaers have a height between 1.8 m and.0 m? Heights of Hocke Plaers Frequenc Heights (m) Page 5 of 13

6 17. A set of data is normall distributed. What percent of the data is within two standard deviations of the mean? The function = has ais of smmetr =. Which represents the function? (-, -1) (-, -1) (-, 3) (-, 3) 19. What is the domain and range for = +1 3? R and 3 R and 3 1 and R 1 and R Page 6 of 13

7 0. A parabola has -intercepts of,0 and 8,0. What is the ais of smmetr? = 5 = 3 = 5 = 3 1. What is the verte of = +8 5?, 9, 13,15,19. The graph of a quadratic function has verte 1, and opens upward. How man -intercepts does it have? What is the equation of the function graphed below? -1 3 = 1 3 = 1+3 =+1 3 =+1+3. Which is a root of 5 3= Page 7 of 13

8 5. Which represents a quadratic function with zeros of and and a maimum value? What is the scale factor in the figure below? original image Page 8 of 13

9 7. During which time period was the growth rate of CD sales the greatest in the graph shown? CD Sales 10 Sales in Millions 8 6 A B C D Year The surface area of a cone is 3. If the cone is enlarged b a scale factor of 3, what is the surface area, in, of the image? Constructed Response: Answers to be written on this paper in the space provided. Show all workings. 9. Use both inductive and deductive reasoning to show that the result for the given number trick will alwas be the original number. [ marks] NUMBER TRICK Inductive Reasoning Deductive Reasoning Choose a number. Double it. Add 6. Double it. Subtract. Divide b. Subtract. Page 9 of 13

10 30. Find the measure of each indicated angle. Justif our answer. [3 marks] z 70 Angle Measure Justification = = = 31. Use either a paragraph or two-column format to complete the given proof: [3marks] Given: AB II DE AC = EC A D Prove: ABC EDC B C E 3. A boat travels from Bell Island to Kell s Island to Little Bell Island, and returns directl back to Bell Island. What is the total distance travelled? [ marks] Bell Island 3.5 km Kell's Island 3 km 75 Little Bell Island Page 10 of 13

11 33. Simplif completel: [3 marks] 3. State the restrictions on, solve the equation, and then check for etraneous roots. [ marks] 3+1 3= 35. A factor produces automotive brake pads with a mean mass of 17 g and a standard deviation of 0.7 g. Qualit control epects that the mass of the pads will lie within the acceptable range of g and 17.1 g. What is the confidence interval and margin of error this factor uses for its qualit control tests? [ marks] Page 11 of 13

12 36. Jason scored 8% on a test where the class average was 7% and the standard deviation was 10.6%. If the class was normall distributed, what percentage of the class scored better than Jason? [3 marks] 37. A farmer has 300 of chain link fencing to create a rectangular pen, using the side of a barn as one side of the pen. Algebraicall determine the maimum area that can be enclosed b the pen. [ marks] Barn Pen 38. Algebraicall determine the verte and -intercepts for the function = 8. Sketch the graph, labelling all ke points. [3 marks] Page 1 of 13

13 39. Solve the given equation. State the solution(s) in eact form. [3 marks] 6 = On another planet, the path of a rock that is thrown is given b h= ++6, where h is height in metres and t is time in seconds. At what time(s) would the height of the ball be 9? [3 marks] 1. Avalon Supermarket sells a bo of 8 granola bars for $7.99 and a bo of 8 bars for $1.99. What is the least epensive wa to bu 70 granola bars? Justif our reasoning. [3 marks] Page 13 of 13

14 Common Assessment June 013 Answer Sheet Name: Mathematics Teacher: 1. A B C D. A B C D 3. A B C D. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D 9. A B C D 10. A B C D 11. A B C D 1. A B C D 13. A B C D 1. A B C D 15. A B C D 16. A B C D 17. A B C D 18. A B C D 19. A B C D 0. A B C D 1. A B C D. A B C D 3. A B C D. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D

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