Mock 2009 Exam. 1. Simplify: A. B. C. D. 2. Simplify: A. B. C. D. 3. Simplify: A. B. C. D. Collingwood School Grade 10 MOCK Exam (2009) 1
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1 Mock 2009 Exam 1. Simplify: 2. Simplify: 3. Simplify: Collingwood School Grade 10 MOCK Exam (2009) 1
2 4. Calculate. Answer to two decimal places. Record your answer neatly on the Answer Sheet 5. Find the equivalent form of the following expression: 6. Which of the following is an irrational number? Collingwood School Grade 10 MOCK Exam (2009) 2
3 7. Find the area of the circle below. 8cm 6cm 8. Simplify: Collingwood School Grade 10 MOCK Exam (2009) 3
4 9. Which of the following statements is true? The square root of any integer is always an integer. The sum of two integers is always a whole number. The product of two whole numbers is always an integer. A rational number is not a real number. 10. Simplify: ( ) 11. Simplify: Collingwood School Grade 10 MOCK Exam (2009) 4
5 12. Simplify: ; 13. Simplify: ; 14. Find the perimeter of an equilateral triangle that has an altitude of 12cm. Answer to the nearest cm. Collingwood School Grade 10 MOCK Exam (2009) 5
6 15. Find the number of terms in the following arithmetic sequence: 16. Determine the value of S 19 for the following arithmetic series. Record your answer neatly on the Answer Sheet Collingwood School Grade 10 MOCK Exam (2009) 6
7 17. Determine the common difference for the following arithmetic sequence. 7,,,, Which of the following statements is correct? Sequence I: 2, 9, 16, 23, Sequence II: 4, 10, 16, 22, t 20 is greater in Sequence I. t 20 is greater in Sequence II. t 20 is the same in both sequences. There is not enough information given to determine t 20. Collingwood School Grade 10 MOCK Exam (2009) 7
8 19. Find in an arithmetic sequence with a first term of 2, which satisfies: 20. What is the range of the function: Collingwood School Grade 10 MOCK Exam (2009) 8
9 21. Determine the domain of the function below: y x If and, which of the following statements is true Collingwood School Grade 10 MOCK Exam (2009) 9
10 23. The function is shown below. Find the value of, such that. Record your answer neatly on the Answer Sheet y -6 6 x Given, what is the value Collingwood School Grade 10 MOCK Exam (2009) 10
11 25. A banquet room has been rented for a retirement dinner for math teachers. It costs $300 to rent the room and $17 for every person who attends. Which of the following statements are true? I. The function representing total cost is a direct variation. II. The function for total cost can be represented by a geometric sequence. III. The function representing total cost is a partial variation. IV. The equation representing total cost is the linear function, where C is the total cost and n is the number of people. 26. Which equation represents a line with a y-intercept of and a slope of. Collingwood School Grade 10 MOCK Exam (2009) 11
12 27. Determine the equation of a line with a y-intercept of and an x-intercept of. 28. Consider the following statements about the graph I. The slope is positive. II. The x-intercept is 2. III. The point lies on the line. IV. The y-intercept is an integer. Which of the following are true? Collingwood School Grade 10 MOCK Exam (2009) 12
13 29. A line passes through the points and. The slope of the line is. Determine the value of a. 30. Which equation represents a line with the same slope as line A and the same y-intercept as line B? y 6 A -6 6 x B -6 Collingwood School Grade 10 MOCK Exam (2009) 13
14 31. Expand and simplify: 32. Determine the leading coefficient when the following expression is expanded and simplified: Record your answer neatly on the Answer Sheet Collingwood School Grade 10 MOCK Exam (2009) 14
15 33. What is the remainder when is divided by? Determine the quotient: Collingwood School Grade 10 MOCK Exam (2009) 15
16 35. Which of the following is a factor of none of the above 36. The area of a triangle is and the height is. Find an expression for the length of the base Collingwood School Grade 10 MOCK Exam (2009) 16
17 37. Determine the product of the non-permissible values 38. Simplify for all permissible values Collingwood School Grade 10 MOCK Exam (2009) 17
18 39. Given that both rational expressions are defined, what is the value of k. Record your answer neatly on the Answer Sheet 40. Determine the lowest common denominator of and. 41. Simplify for all permissible values Collingwood School Grade 10 MOCK Exam (2009) 18
19 42. Simplify for all permissible values: 43. Solve for x: Collingwood School Grade 10 MOCK Exam (2009) 19
20 44. Brenda and Anita are in a 48km bike race. Brenda s cycling speed is slower than Anita s and she takes longer to complete the race. How long does Brenda take to complete the race? 45. Determine the value(s) of if 46. Which of the following expressions has the same value as, Collingwood School Grade 10 MOCK Exam (2009) 20
21 47. Find the value of x. Answer to the nearest two decimal places. Record your answer neatly on the Answer Sheet > x 12cm > 48. Determine the approximate perimeter of the given triangle 12 cm 40 o Collingwood School Grade 10 MOCK Exam (2009) 21
22 49. Which of the following formulas would be used to find the smallest angle in the triangle below? 15cm 7cm 19cm Collingwood School Grade 10 MOCK Exam (2009) 22
23 50. At 0900hrs, a freight ship in the Indian Ocean travelling due East at a speed of 15km/h observes a light house at a bearing of 20 o. At 1500hrs, the light house is at a bearing of 330 o from the freight ship. How far is the freight ship from the light house at 1500hrs to the nearest km? Collingwood School Grade 10 MOCK Exam (2009) 23
24 51. Solve for x. Answer nearest to 2 decimal places. Record your answer neatly on the Answer Sheet 15cm 10cm 6cm 40 o x 16cm Collingwood School Grade 10 MOCK Exam (2009) 24
25 52. Determine the shortest distance between the x-intercept and the y-intercept for the graph of. 53. A line segment has a midpoint with coordinates. The endpoints of the line segment are and. Find the value of x. Collingwood School Grade 10 MOCK Exam (2009) 25
26 54. The end points of a diameter of a circle are located at and. What is the length of the radius? 55. Find the slope of the perpendicular bisector of the line between the points and. Collingwood School Grade 10 MOCK Exam (2009) 26
27 56. A straight road up a hill has a slope of. From the bottom of the hill to the top of the hill, the vertical change is. What is the actual distance of the road from the bottom of the hill to the top of the hill? 57. Determine the slope of the line Collingwood School Grade 10 MOCK Exam (2009) 27
28 58. The equation of the line that passes through the point and is parallel to the line 59. A line segment has endpoints and. Determine the slope of A Record your answer neatly on the Answer Sheet 60. A line with one endpoint on the and the other endpoint on the has a negative slope. Collingwood School Grade 10 MOCK Exam (2009) 28
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