Intermediate Mathematics Provincial Assessment 2008

Transcription

1 Intermediate Mathematics Provincial Assessment 008 Last Name: First Name: MI: Teacher: School Name: School District: You will have to complete your name and school information in three places: (1) On this sheet (above) () On the bubble sheet (3) On the cover of your Student Booklet IMPORTANT Please ensure the information in each of these places is completed correctly and clearly. Your bubble sheet will be placed inside this Section 1 Insert for mailing so 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 but you are not permitted the use of a calculator. Questions, 1-7 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 0 minutes. Your teacher will collect Section 1 when everyone is finished and will then give you Section. You will need your bubble sheet for Section 3 only. Section 1 Insert

2 Page of 4 1. Factor completely: 3 6xy - 4x y out of 1 mark Calculate (7 10 ) (8 10 ) expressing your answer in scientific notation. out of 1 mark 3. Solve: (4x - 7x + 5) + (-3x + x + 5) out of 1 mark Section 1 Insert: Intermediate Mathematics Provincial Assessment 008

3 Page 3 of 4 4. Using the axes provided, graph the line having slope of 4 and a y -intercept of. y x out of 1 mark 5. Solve: -x +1< 9 out of 1 mark Provincial Assessment 008 Section 1 Insert: Intermediate Mathematics

4 Page 4 of 4 6. Solve: -x + 8 = 3(4 - x) out of 1 mark 7. Calculate: out of 1 mark Section 1 Insert: Intermediate Mathematics Provincial Assessment 008

5 Intermediate Mathematics Provincial Assessment 008 Last Name: First Name: MI: Teacher: School Name: School District: You will have to complete your name and school information in four places: (1) On Section 1 and () On the bubble sheet (3) On the cover of your Student Booklet IMPORTANT Please ensure the information in each of these places is completed correctly and clearly. Section : Written Response Questions 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 should take about 0 minutes. Your teacher will collect Section 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. Section Insert

6 Page 3 of 6 8. John drew similar triangles to find the distance across a river, AB. a) Write a similarity relation b) Create and solve an equation to determine the distance across the river. out of 3 marks Provincial Assessment 008 Section Insert: Intermediate Mathematics

7 Page 4 of 6 9. Water was heated for 4 minutes with the temperature being recorded every 1 minute. Time (minutes) Temp. ( C) a) Plot the data from the table and draw a graph. b) Calculate the slope of the graph above. c) What is the y-intercept and what does it represent? out of 3 marks Section Insert: Intermediate Mathematics Provincial Assessment 008

8 Page 5 of Determine the area of the shaded region for the figure shown in simplest form. out of 3 marks Provincial Assessment 008 Section Insert: Intermediate Mathematics

9 Page 6 of Your class is filling a time capsule. Its ends are semi-spherically shaped. How much can the time capsule hold (to the nearest cm 3 )? out of 3 marks Section Insert: Intermediate Mathematics Provincial Assessment 008

10 Page of Which set notation represents this graph? { 3, x x x R } { x < x < 3, x R } { x x 3, x I } x < x < x I } { 3, 13. Which statement is true? If a number is an integer then it is also rational. All integers are whole numbers. The number 3π is rational. There is a number that is both rational and irrational. 14. Which number is between 4 and 4.5?

11 Page 3 of Which radical could be represented by point X on the number line? Which matrix represents the amount of stock on hand after a new order was received on July 31 st? Stock on Hand July Sales Stock received July 1 Large Small Large Small Large Small Ice cream Frozen yogurt

12 Page 4 of There are 3 4 cups of flour in a recipe for one dozen oatmeal cookies. How many cups of flour are needed for 6 1 dozen cookies? Calculate: ( 7 ) Simplify: a ( a ) a a 6 a 10 a 14 a

13 0. Which diagram represents the product of ( x 3)( x )? (Note that shaded tiles are designated as positive and clear tiles as negative.) Page 5 of Find the quotient when 6x 5 9x 4 + 1x is divided by 3x. 4 3 x + 3x 4 4 x 9x 4x + 1x 4 3 x 3x + 4x 5 6x x +1x. Expand: ( ) 5x ( x 4x 3) 3 5x 0x 15x 5x 4x 3 5x + 0x x + 0x + 15x

14 Page 6 of The graph shown represents the cost of renting a boat over time. What is the hourly charge to rent the boat? $ 1.00 $ 4.00 $ 0.00 $ Simplify. 3 4x + 8 x x x + 4 x + 4 x + 4x x + 8x

15 Page 7 of If the pattern continues, how many line segments would be used if there are 15 dots in the diagram? What type of relation is represented by the data table? X Y 1 8 linear parabolic exponential none of these

16 Page 8 of What is the slope of the line passing through the points (-4, 3) and (5, -3)? y x The perimeter of a rectangle is 7 m. The length is 4 m more than three times the width. What is the length of the rectangle? A square prism has a volume of 660 cm 3. What would be the volume of a square pyramid that has the same base area and height as a square prism? 165 cm 3 0 cm cm cm 3

17 Page 9 of The plastic mold shown is used to make frozen juice treats. How many millilitres of juice is used to make each treat? Calculate:

18 Page 10 of For which transformation is orientation not maintained? dilatation reflection rotation translation 33. Which condition could be used to show that the triangles shown are congruent? AAA ASA SAS SSS

19 Page 11 of Given the diagram, which statement must be correct? PR PT = KH KT RT PT = HT KH PT RT = HT KT PR TH = KH TR 35. What is the value of X in the diagram below?

20 Page 1 of Two triangles are similar and congruent. What are the ratios of their corresponding sides? 1 : 1 1 : : 1 1 : A point (-1, 4) is reflected in the y-axis and then rotated 90 clockwise about the origin. What will be the final coordinates of the point? 8 y (-4, 1) (-1, -4) (1, 4) (4, -1) x x y 1 1 x, y is applied to a figure and is followed by the translation( x, y) ( x + 4, Y 3). P( 10, 4) is a vertex on the original figure. What are the coordinates of P of the image under these transformations? 38. The dilatation ( ), ( 9, 5 ) ( 9, 1) ( 7, 3.5 ) ( 14, 7 )

21 Page 13 of What is a good estimate of the slope of the line of best fit for the following data? Which scatterplot has the weakest negative relationship? A B C D

22 Page 14 of A family is expecting triplets. Which of the following can be used to determine the probability of having three girls? flip 3 coins roll 3 dice spin a 3 coloured spinner toss 3 paper cups 4. A student was asked to spin the spinner two times to win a prize on each spin. What is the probability of winning two milk? End of the Assessment