Math 10. Questions. Edited by: Black, Adapted from. Prepa

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1 Adapted from Previous Ministry BC Provincial Eams Prepa ring people to t hrive in meaningful lives Foundations & Pre-Calculus 10 Final Eam Review Package Principles of Math 10 Questions Collingwood Edited by: Black, Carlbeck, Hill,, Rickard, Vidic, Wong

2 Unit I Numbers & Eponents Sample Eam 1. To which set(s) of numbers does 5 belong? III only IV only II and II II only I, II and III only. The number is rational. True False Collingwood 014

3 . 4. Consider the following num If the numbers are ranked from smallest to largest, what is the third largest value of the numbers? A square is inscribed in a circle. mbers: 9, 5, 4 5, 19, 6 The area of the circle is 6cm. What is the eact perimeter of the square? cm cm cm cm 5. Place the following eponential epressions in order from the smallest value to the largest value once the epressions have been simplified. I, II, III, IV I, III, IV, II III, I, IV, II III, II, I, IV Collingwood 014

4 6. Which of the following is equivalent to a? 7. a 1 a 1 a 9 a What is the value of k if 1 k? Collingwood 014

5 Which of the following are rational numbers? I and II only II and II II only III and IV only I, II, III and IV 9. Find the length of side..45 cm.00 cm 4.4 cm 8.49 cm Collingwood 014

6 10. Simplify: Simplify: 1 * Questions taken from Ministry website at Collingwood 014

7 What type of number is 5 4? I only II only I and IIII only II and II II only 1. Find the length of side..67 cm.59 cm.1 cm 1.50 cm Which of the following is equivalent to? Collingwood 014

8 15. Which of the following is equivalent to ? Which of the following numbers are irrational? I and II only II and II II only I, II and III only I, II, III and IV 17. Determine the length of side cm 16.1 cm 0. cm.8 cm Collingwood 014

9 18. Which of the following is equivalent to (? (4 ) Simplify:? Collingwood 014

10 Sample Eam 1. C. B. D 4. B 5. B 6. D B 9. C 10. C 11. A 1. B 1. A 14. B 15. D A 17. B 18. D 19. C Unit II Polynomials Sample Eam 0. Which of the following has as a fa actor? 1. I and II only III and IV only I, II and IV only I, II, III and IV For which integral values of k can 6 k 1 be fa actored? 5, 7 only 5, 7 only 5, 7 only all integers between 7 and 5, inclusive. What value of k will make the following trinomial a perfect square? k 4y 9y

11 Match each Epression on the left with the correct Epanded Form on the right. Each Epanded Form may be used once, more than oncee or not at all.. Epression ( a )( a ) Epanded Form a 4. ( a ) a 5. ( a )( a ) a a a E. a a F. a a G. a Simplify: ( 5)( 4 1) Simplify: ( 1)( 4) ( 5) What value of k will make the following trinomial a perfect square? k 40y 5y Collingwood 014

12 Match each Epression on the left with one of its Factorss on the right. Each Factor may be used once, more than once or not at all. 9. Epression 8 Factor E. 4 F Simplify: (a )( a a 1) 6a a 4a 6a 5a 4a 6a 5a 8a 6a 5a 4a. Simplify: (5 1) )( 1) ( 4) What value of k would make y ky a p perfect square trinomial? Collingwood 014

13 Match each Epression on the left with one of its Factorss on the right. Each Factor may be used once, more than once or not at all. 5. Epression 7 10 Factor E. 5 F Simplify: ( ) Simplify: (4 1)( ) ( ) What value of k would make k 4y 16y a p perfect square trinomial? Collingwood 014

14 Match each Epression on the left with one of its Factorss on the right. Each Factor may be used once, more than once or not at all. 41. Epression 7 10 Factor E. 5 F. 5 Sample Eam 0. C 1. B. 8. D 4. F 5. A B 7. A A 0. C 1. E D. B A 6. C 7. E 8. D 9. B C 4. A 4. F Collingwood 014

15 Unit IIII Functions & Relations Sample Eam 44. A cup of hot water is left to cool on the table. The temperature is recorded, to the nearest degree, at regular time intervals as shown by the following data. The data was then graphed. Which graph best represents the cooling of the hot water over time? * Collingwood 014

16 45. Given f() = m + b, wheree m and b are positive real numbers, which of the following graphs best represents f( ()? 46. If f ( ), find f 1 () f ( ) ) Collingwood 014

17 47. At the Euclid Laser Arcade the following rates are posted: Which of the following graphs best represents the rates s posted? Collingwood 014

18 48. Consider the following statements concerning the graphh of + y 6 = 0. The domain and range are all real numbers. Which of the following iss true? I, II, III and IV II and II II only I and IV only IV only Collingwood 014

19 Use the following equation to answer questions 49 to 51. y = + 8 Match each Graph Characteristic on the left with the correct Values(s) on the right. Each Value( s) may be used once, more than once or not at all. 49. Graph Characteristic slope Value(s) 50. -intercept Domain 8 8 E. all real numbers Use the following information to answer question 5. There is a fied cost of $50 to design a full colour glossy flyer for a jewelry store. It costs 80 each to print the first 00 flyers, 75 each to print the net 500 flyers and 65 for each flyer after that. 5. How many flyers can be designed and printed for a total cost of $500?? Collingwood 014

20 The distance travelled by two cars is shown in the graphh below. How much farther did Car A go than Car B in 1 h 0 min? 10 km 0 km 5 Km 0 km 54. What is the domain of the function graphed below? all real numbers Collingwood 014

21 Use the following graph to answer question For what value of does f f ( ) 6? If f ( ) 4, which of the following is thee value of f (6 6)? Which of the following has a slope of 1? y = + 1 y = + 1 y = 1 = 1 Collingwood 014

22 58. Consider the following graph. Which of the following can be used to represent the function shown by the graph? I only II only I and II only I, II and III Collingwood 014

23 Match each Description on the left with thee best Graph on the right. Each Graph may be used once, more than once or not at all Description Distance as a function of time, where speed is constant and non-zero. Temperaturee of a cup of hot water left on a table as a functionn of time. Height above the water of a rock droppedd from a bridge as a function of time. Graph Collingwood 014

24 The distance travelled by two cars is shown in the graphh below. How much farther did Car A go than Car B in the first h 15 min? 0 km 45 km 60 km 90 km Collingwood 014

25 6. The temperature of a cup of ice water is recorded at regular time intervals as shown by the following data: Which of the following is the best graph of the data? Collingwood 014

26 Use the following graph to answer question What is the v value of f ( 6)? If f ( ) 4 5, which of the following epressions is equ ual to f ( 1 )? Consider the following graph. Determine the domain. all real numbers Collingwood 014

27 67. Which of the following represent(s) the function y 4? I only II only I and II only I, II and III Use the following equation to answer questions 68 to 70. y 6 Match each Graph Characteristic on the left with the correct Value(s) on the right. Each Value( s) may be used once, more than once or not at all. 68. Graph Characteristic -intercept(s) Value(s) y domain all real numbers 70. range 9 9 E. 6 F. 6 Collingwood 014

28 71. The following graph represents the cost for a mechanic to fi a car. How much does the mechanic charge per hour? Answer to the nearestt dollar The distance travelled by two cars is shown in the graphh below. How much longer does it take Car B to go 80 km than it takes Car A to go 80 km? 1 h h h 4 h Collingwood 014

29 7. Which of the following functions represents the data in n the table of values shown below? f ( ) 5 f ( ) 4 f ( ) 5 0 f ( ) 0 5 Use the following graph to answer question Determine the value of f ( 1) If f ( ) 6, which of the following epressions is equal to f ( )? Collingwood 014

30 76. Determine the domain of the following graph. all 0 all integers all real numbers all positive integers 77. Which of the following is not a function? Multiply the number by and subtract 5. 1 y 5 4 {(,4),( 1,),( 1,1),(0,),(,6)} Collingwood 014

31 Match each Description on the left with thee best Graph on the right. Each Graph may be used once, more than once or not at all Description Volume of a sphere as a function of its diameter. The cost of filling a gas tank as a functionn of the number of litres bought. The height of a bicycle pedal as a function of time. Graph 81. The following graph represents the cost of hiring a plumber to fi your leaky sink. What hourly rate does the plumber charge? Answer to the nearest dollar. Collingwood 014

32 Sample Eam 44. B 45. D 46. D 47. C 48. D 49. A 50. B 51. E A 54. A 55. B 56. D 57. A 58. B 59. A 60. D 61. F A 6. C 64. C 65. B 66. D 67. A 68. D 69. B 70. B A 7. D 74. D 75. C 76. B 77. C 78. B 79. A 80. E Sample Eam Unit IV Linear Relations & Equations 8. Determine the value of if the slope of a line is 1 and (, 10) and the line passes through the points ( 6, )

33 Match each Description on the left with its Equation on the right. Each Equation may be used once, more than once or not at all. 8. Description line through (, 1) and (, ) Equation y + 4 = line with slope m through (6, ) y + = 0 y + 6 = 0 + y 6 = line with y-intercept of 1 passing throughh (, ) E. + y + = 0 F. + y = 0 G. y + = 0 H. + y = Line l contains points P(, 9) and Q (, 5). Choose the equations of the lines thatt are parallel and perpendicular to line l. Collingwood 014

34 A 4 m ladder is placed against the side wall of a house. It reaches a window that is m high. What is the slope of the ladder? Match each Characteristic on the left with its Equation on the right. Each Equation may be used once, more than once or not at all Characteristic Parallel to the line 5 y 4 = 0 Has the same -intercept as the line y 1 Equation y y Perpendicular to line 4 y + 11 = 0 y 4 7 y 5 E. y 4 8 Collingwood 014

35 A skateboarding ramp rises 6 m in a horizontal distancee of 8 m. Whatt is the slope of the ramp? Match each Line on the left with the correct Equation on the right. Each Equation may be used once, more than once or not at all Line Consider the following coordinates: A(, 6) B(4, ) line containing points A and B line perpendicular to AB Equation E. F. y y 94. line with -intercept = G. y H. y 1 I. y A straight road up a hill has a slope of 1. From the bottom of the hill to the top of the hill, the 4 horizontal change is 80 m. Determine the height of the hill. 10 m 0 m 5 m 40 m Collingwood 014

36 Match each Line on the left with the correct Equation on the right. Each Equation may be used once, moree than once orr not at all Line Consider the following coordinates: A(, 6) B(4, ) line parallel to AB line with -intercept = Equation E. F. y y G. H. I. y y y Sample Eam 8. C 8. H 84. D 85. B 86. A C 88. D 89. E 90. C B 9. G 9. H 94. F B 96. H 97. G Collingwood 014

37 Unit V Measurement & Trigonometry Which of the following epressions represents the surface area of the sphere below? 4 (15) 4 (0) 4 (15) 4 (15) 99. The side length of a cube is tripled. By what factor has the volume increased? * Questionss taken from Ministry website at Collingwood 014

38 100. Determine the length of DC in centimetres. Answer to two decimal places C 99. D * Questionss taken from Ministry website at Collingwood 014