Intermediate Mathematics Provincial Assessment 2009
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1 Intermediate Mathematics Last Name: First Name: MI: Teacher: School: School District: You will have to complete your name and school information in three places: (1) On this sheet (above) (2) On the bubble sheet (3) On the cover of your Student Booklet IMPORTANT Please ensure the information in each of these places in completed correctly and clearly. Your bubble sheet will be placed inside this Section 1 Insert for mailing. Pay particular attention that the bubble sheet and insert information are correct. Section 1: Non-Calculator Section You will need a pencil, paper, and ruler for this section. You are not permitted the use of a calculator. Questions 1 to 7 require you to write, draw, or graph your responses in the space provided in this booklet. Do not use your bubble sheet for these questions. Section 1 should take about 20 minutes. Your teacher will collect Section 1 when everyone is finished and will then give you Section 2. You will need your bubble sheet for Section 3 only. Section 1 Insert
2 Page 2 of 4 1. Factor completely: 16 8 out of 1 mark 2. Calculate expressing your answer in scientific notation. out of 1 mark 3. Simplify: out of 1 mark Section 1 Insert: Intermediate Mathematics
3 Page 3 of 4 4. Using the axes provided, graph the line having a slope of and a y-intercept of 4. y x out of 1 mark 5. Solve: out of 1 mark Section 1 Insert: Intermediate Mathematics
4 Page 4 of 4 6. Solve: out of 1 mark 7. Calculate: 2 12 out of 1 mark Section 1 Insert: Intermediate Mathematics
5 Intermediate Mathematics Last Name: First Name: MI: Teacher: School: School District: You will have to complete your name and school information in four places: (1) On Section 1 and 2 (2) On the bubble sheet (3) On the cover of your Student Booklet IMPORTANT Section 2: Written Response Questions Please ensure the information in each of these places is completed correctly and clearly. You will need a pencil, paper, and ruler for this section. You are permitted the use of a calculator. Questions, 8-11 require you to write, draw, or graph your responses in the space provided in this booklet. Do not use your bubble sheet for these questions. Section 2 should take about 20 minutes. Your teacher will collect Section 2 when everyone is finished and will then give you Section 3 (a larger work booklet containing the rest of the questions). You will need your bubble sheet for Section 3. Formulae Volume of a Cone: Volume of a Sphere: Volume of a Cylinder: Surface Area of a Sphere: Surface Area of a Cone: Slant Height of a Cone: 4 Please note that all formulae may not be needed on any given assessment. Section 2 Insert
6 Page 2 of 5 8. Alice marked out the following triangles to determine the length of the pond,. POND A B 15 m C 3 m E 4 m D Write a similarity relation. Create and solve an equation to determine the length of the pond,. out of 3 marks Section 2 Insert: Intermediate Mathematics
7 Page 3 of 5 9. Sam walks toward a motion sensor. The distance from the sensor is determined by the equation 28 where d represents distance in metres and t represents time in seconds. Complete the table of values. Time (s) Distance (m) Graph the information from the above table. d t What is the d-intercept and what does it represent? out of 3 marks Section 2 Insert: Intermediate Mathematics
8 Page 4 of Determine the area of the shaded region for the figure shown in simplest form. x+2 x x 2 x+1 out of 3 marks Section 2 Insert: Intermediate Mathematics
9 Page 5 of Wax is melted to form a cone-shaped candle with a radius of 8 cm and a height of 15 cm. Calculate the slant height. slant height =? h = 15 cm r = 8 cm Determine how much wrapping material is needed to completely cover the candle if there is no overlap (to the nearest cm 2 ). Use π = out of 3 marks Section 2 Insert: Intermediate Mathematics
10 Page 2 of Which graph represents the inequality 3,? is a member of which two number sets? Irrational, Integer Rational, Integer Real, Irrational Real, Rational 14. Which shows the set arranged from smallest to largest? 11 4, 2 2, 5, , 10,, 2 5, 10, 2, 10, 5, 2,, 2, 10, 5 Section 3: Intermediate Mathematics
11 Page 3 of A square has an area of 200cm 2. What are the lengths of each side, in centimetres, in simplest radical form? Movie rentals are $1 for old releases and $2 for new releases. Which represents the total income for each type of movie during Friday and Saturday? Number of Rentals Old Releases New Releases Comedy Horror Comedy Horror Friday Friday Saturday Saturday Section 3: Intermediate Mathematics
12 Page 4 of Write 5 5 as a single power Simplify: 19. If the perimeter of the triangle is 9 6, what is the length of the third side? x 4 2x+3? What is the opposite of 3 2 5? Section 3: Intermediate Mathematics
13 Page 5 of The area of a rectangle is What are the dimensions? 4 by 6 4 by 6 4 by 6 4 by Expand and simplify: David walked to the store. The graph represents his distance from home over time. During what time interval is David walking the fastest? A to B B to C C to D D to E Distance from home (metres) A B C D E Time (minutes) Section 3: Intermediate Mathematics
14 Page 6 of Simplify: How many shaded circles would exist in Diagram 7? Diagram 1 Diagram 2 Diagram 3 Diagram Section 3: Intermediate Mathematics
15 Page 7 of The table represents the height, in centimetres, of a plant each week. Which formula represents the plant growth? Time (t) 3 Height (h) Which table represents a parabolic relation? x y x y x y x y Section 3: Intermediate Mathematics
16 Page 8 of Which line is described by the equation 3 2? y x A B C D 29. The volume of a rectangular pyramid is 120 cm 3. What is the volume of a rectangular prism having the same base area and height, in cm 3? A water balloon of spherical shape has a diameter of 25 cm when filled. How much water can the balloon hold when filled completely, to the nearest cm 3? Section 3: Intermediate Mathematics
17 Page 9 of Evaluate 2 for 2, Which triangle is unique? B A B 6 m 60 A 10 m B C C 6 m 60 A B 95 A 9 m 9 m C C 33. Given XYZ RNM, which statement must be true? X = N Y = N XY RM YZ RN Section 3: Intermediate Mathematics
18 Page 10 of A surveyor made the measurements as shown in the diagram below. How wide is the river ( ), in metres? A River B 18 m C 20 m E 8 m 4.5 D Given the diagram as shown, what is the length of, in centimetres? 1.6 P 2 cm 5 cm T Q R 4 cm S 6 cm 36. Which statement is true? If ABC ~ XYZ, then the two triangles are always congruent. If ABC ~ XYZ, then the two triangles are never congruent. If ABC ~ XYZ, then the two triangles are always similar. If ABC ~ XYZ, then the two triangles are never similar. Section 3: Intermediate Mathematics
19 Page 11 of A point P (3, 5) is rotated 90 clockwise about the origin. What are the coordinates of the image point, P? ( 3, 5) ( 3, 5) (5, 3) ( 5, 3) y x 38. ABC has coordinates A( 5, 1), B( 1, 2), and C( 3, 2). ABC undergoes the translation 2, 3 followed by the translation 1, 2, to give the image A B C. What single translation maps ABC onto A B C? y, 3, 1, 3, 5, 1, 1, 1, 5 x Section 3: Intermediate Mathematics
20 Page 12 of Which scatter plot has an approximate line of best fit of 2? Which line or curve drawn best fits the data in the scatter plot? Section 3: Intermediate Mathematics
21 Page 13 of What is the probability of spinning a vowel on the spinner and rolling a number greater than 2 on a standard 6-sided die? s t a t i s c i t s 10% 13% 15% 20% 42. A bag contains 2 pink and 3 green marbles. What is the probability of picking two green marbles in a row if the first is not replaced before the second is picked? End of the Assessment Section 3: Intermediate Mathematics
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