Math 2201 Review (2013 Sample/2013 Exam)

Transcription

1 Math 01 Review (013 Sample/013 Eam) 013 Sample Eam Selected Response: Choose the appropriate response on the answer sheet or SCANTRON. 1. Lisa draws four parallelograms measures all sides. She writes the statement The opposite sides of a parallelogram are equal in her notebook. Which term best describes her statement? conjecture countereample deductive reasoning inductive reasoning. What is the missing seventh term in the given sequence? Which figure is a countereample to the statement below? The perimeter of a rectangle is never an odd number. cm 3 cm 5.5 cm 3.5 cm 7 cm 3 cm 6.5 cm.5 cm. If, which propert proves that?

2 commutative supplementar angles transitive verticall opposite angles 5. What is the sum of the interior angles of a conve polgon with 1 sides? 30 o 50 o 880 o 6. An incorrect solution is provided to the question below. In which step did the first error occur? Question: Given C 1 3 H E G Solution: What is the length of side b? A 97 b B 15 C 8. Which epression is equal to? P r q Q p R

3 9. Simplif completel: 10. Simplif completel: 11. Simplif completel: 1. Write as an entire radical. 13. Brad was asked to simplif but did not complete a correct solution. Which step contains his first error? Solution: What are the restrictions on the variable for? 15. Which set of data has the lowest stard deviation?

4 The ages of participants in a curling bonspiel are normall distributed with a mean of 5 ears a stard deviation of 9 ears. What percent of the curlers are between 36 5 ears of age? 3% 95 % 68% 99% The heights of all students in a class were measured. It was later discovered that the tape measure used was inaccurate 5 mm had to be added to each person s height. Which calculation would sta the same based on the new height measures? central tendenc mean median stard deviation 18. What are the domain range for? 19. A quadratic function has an intercept at an ais of smmetr at. What is the other intercept? 0. If is the verte of, what is the value of b? 1 1. The function has an ais of smmetr at. Which graph best models this function? ( 3, 8) ( 3, 6) ( 3, 8)

5 ( 3, 6). Which represents a quadratic function with no intercepts? 3. A gardener has 10 m of fencing to mark off a rectangular vegetable garden. Which function could be used to determine the dimensions that will result in the maimum area?. Which function has zeros of? 5. What are the roots of the quadratic equation? 6. Which has a unit rate of $0.16/apple? 0 apples for $ apples for $.5 30 apples for $ apples for $ The pentagon shown is transformed b a scale factor of. What is the length of the image of side AB? Original A 1 cm B 3 cm 9 cm 15cm 8 cm 8. A partiall inflated heart shaped balloon is 15 cm wide has a volume of 1600 cm 3. If air is added until the balloon is 30 cm wide, what is the new volume?

6 300 cm cm cm cm 3 Constructed Response: Answers to be written on this paper in the space provided. Show all workings. 9. Use both inductive deductive reasoning to show that the sum of two odd integers is an even number. marks Inductive Reasoning Deductive Reasoning 30. Find the measure of each indicated angle. Justif our answer. 3 marks 37 z Use either a paragraph or two column format to complete the given proof: 3 marks Given: bisects L Prove: P T N 3. Peter uses eactl 100 m of string to stake out the triangular plot shown in his back garden. Find the measures of all three angles, to the nearest degree. marks A 5 m B 0 m C 33. Simplif: 3. State the restrictions on, solve the equation, check for etraneous roots. 3 marks marks 35. In a pre election surve in St. John s, 3% of those surveed were undecided about their choice for maor. The surve is considered accurate within 8 percentage points, 99 times out of 100. If there are eligible voters in St. John s, state the range of the number of people who are undecided the confidence level. 36. A manufacturer produces tires that have an average thickness of 179 mm, with a stard deviation of 0.9 mm. To be classified as supreme qualit, tires must have a thickness between mm mm. What percent, to the nearest whole number, of the total production can be rated as supreme qualit tires? 37. A model rocket is launched from its launch pad which is 15 m above the ground. It takes seconds for the rocket to reach a maimum height of 35 m. marks 3 marks 3 marks

7 Algebraicall determine the quadratic function in the form, that models the path followed b the rocket, use it to determine the height of the rocket at 3.5 s. 38. Algebraicall determine the verte intercepts for the function. Sketch the graph, labelling all ke points. 3 marks 39. Solve the given equation. State the solution(s) in eact form. 3 marks 0. Use a quadratic function to model solve the given problem: marks A lscaper is designing a b rectangular garden that will then be surrounded b a uniform border of crushed stone. She has enough crushed stone to cover. What is the width of the border if she uses all of the crushed stone? Garden 013 Eam 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? 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?

8 Alternate Interior Corresponding Supplementar Verticall Opposite 5. A student was asked to find the measure of error?. In which step did he make the first Solution Step 1: Step : Step 3: Step : How man sides does a conve polgon have if the sum of its interior angles is? What is the measure of? C 6.8 cm A cm B 8. Which equals the measure of? 5 A 7 C B 9

9 9. Simplif completel: 10. Simplif completel: 11. Write as an entire radical. 1. A student was asked to simplif but did not complete a correct solution. Which step contains her first error? Solution: Step 1: Step : 1 3 Step 3: Step : 13. Simplif completel: 1. What are the restrictions on the variable for? 15. Which represents data with the largest stard deviation?

10 The histogram shown represents the heights of hocke plaers on a professional hocke team. How man plaers have a height between 1.8 m.0 m? Heights of Hocke Plaers Frequenc Heights (m) A set of data is normall distributed. What percent of the data is within two stard deviations of the mean? The function has ais of smmetr. Which represents

11 the function? (, 1) (, 1) (, 3) (, 3) 19. What is the domain range for? 0. A parabola has intercepts of. What is the ais of smmetr? 1. What is the verte of?. The graph of a quadratic function has verte opens upward. How man intercepts does it have? 0 1

12 3 3. What is the equation of the function graphed below? 1 3. Which is a root of 5. Which represents a quadratic function with zeros of a maimum value? 6. What is the scale factor in the figure below?

13 original image 3 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. 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 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..

14 30. Find the measure of each indicated angle. Justif our answer. [3 marks] z 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 Isl to Kell s Isl to Little Bell Isl, returns directl back to Bell Isl. What is the total distance travelled? [ marks] Bell Isl 3.5 km 33. Kell's Isl 3 km Simplif completel: 75 Little Bell Isl [3 marks] 3. State the restrictions on, solve the equation, then check for etraneous roots. 35. A factor produces automotive brake pads with a mean mass of 17 g a stard deviation of 0.7 g. Qualit control epects that the mass of the pads will lie within the acceptable range of g 17.1 g. What is the confidence interval margin of error this factor uses for its qualit control tests? 36. Jason scored 8% on a test where the class average was 7% the stard deviation was 10.6%. If the class was normall distributed, what percentage of the class scored better than Jason? 37. A farmer has 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] [ marks] [3 marks] [ marks] Barn Pen 38. Algebraicall determine the verte intercepts for the function. Sketch the graph, labelling all ke points. [3 marks] 39. Solve the given equation. State the solution(s) in eact form. [3 marks] 0. On another planet, the path of a rock that is thrown is given b, where h is height in metres t is time in seconds. At what time(s) would the height of the rock be? [3 marks]

15