PART A: MULTIPLE-CHOICE QUESTIONS (calculator not permitted)

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1 Value: 12 marks PART A: MULTPLE-CHOCE QUESTONS (calculator not permitted) Suggested Time: 30 minutes Allowable Time: 40 minutes NSTRUCTONS: No calculator may be used for this part of the examination. For each question. select the best answer and record your choice on the blue Answer Sheet provided. Using an HB pencil, completely fill in the bubble that has the letter corresponding to your answer. You have a maximum of 40 minutes to work on this section ~-- ---~---' ' You have Examination Booklet Form A. n the box above # 1 on your Answer Sheet, fill in the bubble as follows. Exam Booklet Form/ A 8 c D ~ F -~- H Cahier d'examen 0 C1 0 CJ () t~) 0. Which of the following table of values represents a linear relation with a slope of -2? A. x y B. x y c. x y D. x y Foundations of Mathematics and Pre-Calculus Form A Page 1

2 2. Which graph represents y = -! x + 6? A. y B. y ,, ---, , ,,_ -10 C. y D. y : " --'- --.; Page2 Foundations of Mathematics and Pre-Calculus Form A

3 3. Detennine the intercepts of the linear relation 2x - 3 y- 18 = 0. x-intercept A. 9 B. ' y-intercept ~ c D i 4. Which graph represents the relation x - y + 3 = 0?_ A. y B. y + -5 c. y D. 5 Foundations of Mathematics and Pre-Calculus Fonn A Page 3

4 5. The prime factorization of three numbers, P, Q and R, is shown below: p = Q = R = Determine the greatest common factor of these three numbers. A. 2 5 B c D Which of the following statements are true?. 64 is a perfect square.,. r-~. l A. and only B. and only C. and only D., and 64 is a perfect cube. For any two different positive integers, the LCM is always greater than the GCF. 7. Write JO.J's as an entire radical. A.../50 B..J250 c. Jsoo D..J2500 Page4 Foundations of Mathematics and Pre-Calculus 1 O Form A

5 8. Which of the following numbers are irrational?. w. ffi. ~-125 A. only B. only C. and only D., and ri 9. Evalu~te: ( 4 A B c D Which of the following calculations will convert 5 feet into millimetres? 12 in 2.54 cm O mm A. 5 ft x-ti-x x 1 t l in 1 cm 1 in 2.54 cm 10 mm B 5 ft x--x x ft in 1 cm 12 in 1 cm 10 mm C. 5 ft xlftx 2.54 in x cm 1 ft 2.54 cm 1 cm D 5 ft x-12 m x 1 m x 10 mm Foundations of Mathematics and Pre-Calculus Fonn A Pages

6 11. Roman is planting a garden. His father told him to space the rows l stride apart. Which of the following lengths is closest to an adult's stride? A. 1 centimetre B. 1 inch c. 1 foot D. metre 12. Which of the following calculations will determine the surface area of a cone with a height of 4 m and a diameter of 6 m? A. SA = 1t ( 3 )2 + 1t ( 3 )( 4) B. SA= 1t(3) 2 + 1t(3)(5) C. SA= 1t{6)2 +1t(6)(4) D. SA= 1t( 6)2 + 1t( 6)(5) f there is some time left, you have two options: This is the end of Part A (calculator not permitted). i) Make sure you have answered all the questions. You will not be able to go back to this section at the end of 40 minutes. ii) You may proceed to the rest of the examination without the use of a calculator; there are many questions that do not require a calculator. Make sure you flag any questions you skip to remember to go back to them later. Do not access your calculator until directed by the supervisor. At the end of the 40 minutes, the supervisor wih give you permission to access your calculator. L _ Page6 Foundations of Mathematics and Pre-Calculus Form A

7 PART B: MULTPLE-CHOCE QUESTONS (calculator permitted) Value: 42 marks Suggested Time: 75 minutes NSTRUCTONS: For each question, select the best answer and record your choice on the white Answer Sheet provided. Using an HB pencil, completely fill in the bubble that has the letter corresponding to your answer. 13. Which of the following graphs depicts the volume of coffee in a coffee pot over time, given: a new pot is brewed the first customer is served a small cup of coffee the second customer is served a large cup of coffee the third customer is served the remaining large cup of coffee A. B. C. D. Foundations of Mathematics and Pre-Calculus Form A Page 7

8 14. What is the domain of the graph below? )' O -- -, : :--: , [. All y values between -5 and 1. (-5. 1). [1. 11 V. l lsx:57 A. only B. V only C. and only D. and V only Pages Foundations of Mathematics and Pre-Calculus Form A

9 15. Which of the following situations does not represent a function? A. B. C. {(O, 5), (-3, 4), (7, ), (2, 8), (7, 3)} D. 2 4 y=--x Which of the following graphs has a slope of O L/km? A. 50 B J..., Cl) E = ~ 0 Distance (km).5 0 D. 50 1stance (km) c. - E ~..., Cl) u s:: c:u -rj') 0 50 D. - E ~ '-' Cl) u s:: c:u -rj') Volume (L) 5 0 Volume (L) 50 Foundations of Mathematics and Pre-Calculus Form A Page 9

10 ....v1... uc~1..11rn::s me slope and y-intercept for the linear relation ~raphed below? y Slope y-intercept A. Positive Positive B. Positive Negative c. Negative Positive D. Negative Negative 18. Which of the following statements describes the graph of a linear relation with a slope of zero? A. As the run increases, the rise increases. B. As the run increases, the rise is zero. C. As the rise decreases, the run decreases. D. As the rise decreases, the run is zero. Page 10 Foundations of Mathematics and Pre-Calculus Form A

11 19. A wire connects a pole to the ground. The angle of elevation of the wire has a sine ratio of ~. Detennine the slope of the wire. A. B c. 4-3 ~~~ D The perimeter of a rectangle is 12 cm. Which graph below shows the length as a function.of the width of the rectangle? A. 12 ;.:..,. E u -..c -00 c: 11.)...J B. -E u -..c Qi) 6 c: 11.)...J 0 12 Width (cm) 0 6 Width (cm) c. 12 D. - E... u..c... "'O ~ - E... u..c... 6 "O :i 0 12 Length (cm) 0 6 Length (cm) Foundations of Mathematics and Pre-Calculus Form A Page 11

12 The sewing club designed T-shirts to sell as a fundraiser. The fonnula below represents the funds they could raise. F. in dollars. as a function of the number of T-shirts sold. t. F(t) = 9.50t-51 Which statement describes the horizontal intercept for the graph of this relation? A. The horizontal intercept is $6. the initia1 cost. B. The horizontal intercept is -$57, the initia1 cost. C. The horizontal intercept is 6 T-shirts. the number they must sell to cover the initia1 cost. D. The horizontal intercept is 57 T-shirts, the number they must sell to cover the initia1 cost. 22. Rewrite the linear relation y =! x + 2 in genera] form. A. x- y+s = 0 B. x+4y+8=0 C. x-4y+2=0 D. x-4y+8=0 Page 12 Foundations of Mathematics and Pre-Calculus Fonn A

13 23. Which of the following relations are equivalent? y x-3y-3 = 0 A. and only B. and only C. and only D., and 24. When graphed, what is the slope of 4x + 7 y - 10 = 0? A B. 4 7 c. 4 7 D. 7 4 Foundations of Mathematics and Pre-Calculus Form A Page 13

14 25. The U-Renta car company charges an initial amount plus a per kilometre rate. A rental car would cost $58 if driven 30 km or would cost $64 if driven 40 km. Which equation represents the cost, C, as a function of the number of kilometres travelled, n? A. C = 6n+40 B. 5 C=-n+40 3 c. C = 0.6n+46 D. C = 0.6n Determine the slope-intercept form of the line that passes through A ( 8, 10) and is parallel to the line segment joining B ( 9, - 2) and C ( l, 0). A. y=-4x+l2 B. 1 y=--x+s 4 c. 1 y=--x+l2 4 D. 1 y = -x+s 4 Page 14 Foundations of Mathematics and Pre-Calculus Form A

15 The grid below may be used for rough work to answer question y Detennine they-intercept of line B, given: line B is parallel to line A the equation of line A is 3x - y + 1 = 0 line A passes through point (2, q) line B passes through point ( 2, q-5) A. They-intercept is -4. B. They-intercept is 2. C. They-intercept is 6. D. They-intercept is For the function g ( x) = j x - 5, determine the value of x when g ( x) = 3. A. -3 B. 3 c D. 12 Foundations of Mathematics and Pre-Calculus Form A Page 15

16 29. n which quadrant will the following system have a solution? y=-2-x+l 2 2x-3y-12 = 0... JO y ~ ~ Quadrant 5 - Quadrant Quadrant Quadrant V ' '. A. Quadrant B. Quadrant C. Quadrant D. Quadrant V 30. Solve for x : 3x-2y = -17 5x+4y = 1 A. -35 B. -4 c. -3 D. 4 Page 16 Foundations of Mathematics and Pre-Calculus Form A

17 31. Which two of the following linear equations form a system that has no solution?. 2 5 y=-x V y=--x A. and only B. and only C. and only D. and V only 32. Cashews sell for $16.50/kg and almonds sell for $9. 75/kg. A mixture of cashews and almonds has a mass of 20 kg. The cost of this mixture is $293. Which system of equations could represent this situation? A ~x+ y = x+9.75y = c. x+ y = x+9.75y = 20 --! x+ y = x-9.75y = 293 D. x + 16.SOy = 20 x+9.75y= ~ Foundations of Mathematics and Pre-Calculus Fonn A Page 17

18 33. Which of the following number lines best.represents the placement of E, F and G? E=J2 F=H G=4tf2 A E FG 5 B. -5 F 0 E G 5 c F GE 5 D. -5 F 0 E G Which of the following expressions is equivalent to ab- 3? A. B. a b3 a - b3 c. 1 ab 3 D. - ab3 Page 18 Foundations of Mathematics and Pre-Calculus Fann A

19 35. Ryo simplified the expression y5 + y- 5 x y2 using the following steps: Steps Ryo's Work. y5 + y-5 X )'2 y5 + y-5+2. y5 + y-3 ll.. V. 5-(-3) y dentify the step where Ryo made his first mistake, if any. A. Step B. Step C. Step V D. Ryo did not make a mistake. 36. Simplify: (sh )o 52b54 A. B. 1 52b b-4 c. 5-b-4 D. 5-b+4 Foundations of Mathematics and Pre-Calculus Fonn A Page 19

20 37. Simplify: A. 15x 12 y3 B. 25x 3 7 c. 125 x3y3 D. 125x 12 y3 38. Expand and simplify: ( x - 4 )2., A. x- -16 ') B. x , C. x- -Sx+ 16., D. x-+sx Wendan's pictorial solution for expanding (3x- 2){2x + 1) is shown below. Which part of her solution should be changed to make it correct?..--: ~. ;--:--:--. ':';'' A. The 2 small squares should be white. B. The 6 large squares should be shaded. C. The 4 vertical rectangles should be white. D. The 3 horizontal rectangles should be white. Page 20 Foundations of Mathematics and Pre-Calculus Form A

21 40. Lee used the following steps to calculate the area of the shape below. 2x+ 3 L x+2 n LJ 2 x+3 Steps.. ll. V. A= (2x+3)(x+2)-2(x+3) A= 2x 2 +4x+3x+6-2(x+3) ') A= 2.r +7x+6-2x+6 ') A= 2.r +5x+ 12 dentify the step where Lee made his first mistake, if any. A. Step B. Step C. Step D. There is no mistake. ') 41. Factor: x- -13x-14 A. (x + )(x-13) B. (x+l)(x-14) c. ( x - 1 )( x - 13) D. (x-l)(x+l4) Foundations of Mathematics and Pre-Calculus Form A Page 21

22 42. 1 ") ") Factor: 8.x y- -12x-y-4x A. 4xy(2x 2 y-3x-1) B. 4x( 4x 2 /-8xy) C. 4x( 2x 2 y2-3xy) D. 4x(2x 2 i-3xy-1) 43. Which diagram best represents the factoring of 9x 2-16? A. B !.. ':'"":'7::.:-. <::_.-.,_ :.,.;_ -~, :,.-'-.);.,, ru:.:.:r :._,.j._-: "!"::_ ;.._;, - c. D.?[1};: ;-~. :i!( [;,; > - f :: :":'.f :?' ::;:_:u1:: ;;~~[ '. ~~ :,:.-:-:~... :;;_ ~- J,<: -~.::...-=:--~:-D:. /:-~;--:_~, r-.::--r: f\'t-.7l~..':? :-~ -~J t. L... ~ _._..,,., -t~:xj r~~ :-:y... ~ :;.~)-'i! t c~,:/.-._:, _-~.=:= t 7 t 1 ff r.; :: Page22 Foundations of Mathematics and Pre-Calculus Fonn A

23 44. The rectangle below has an area of 6x 2 - l lx - 7. Determine its length. 3x-7... : A. 2x+l B. 2x-l c. 3x+ l D. 3x-l 45. Determine the area of the triangle below. A. 12 m 2 B. ') 15 m- c. 21 m 2 D.., 29 m- 7m Note: this diagram is drawn to scale. Foundations of Mathematics and Pre-Calculus Form A Page23

24 46. Karin asked Ravi to look over her work for the conversion of 233 inches into yards, feet and inches. Steps.. 1 yard 233 mches x 36. h = 6.4 yards me es. 3 feet? 0.4 yards x 1 yard = 1.- feet 12 inches? feet x fi = _.4 mches 1 oot ~~--~~~~~~~~i V. 233 inches = 6 yards, foot, 2 inches Ravi examined Karin's work. Which of the following statements is correct? A. Karin's mistake was the yards-to-feet conversion factor. B. Karin's mistake was the feet-to-inches conversion factor. C. Karin's mistake was using only one decimal place of accuracy. D. Karin did not make a mistake. Page 24 Foundations of Mathematics and Pre-Calculus Form A

25 47. The volume of the right cylinder below is 300 cm 3 h ,,',. What is the volume of the right cone below that has the same radius (r) and height (/z) as the cylinder above? A. 100 cm 3 B. 150 cm 3 C. 900 cm 3 D. There is not enough information to detennine the volume of the cone. 48. Determine the surface area of a sphere with a diameter of 50 centimetres.., A cm- B. c cm cm 2 D cm 2 Foundations of Mathematics and Pre-Calculus Form A Page 25

26 49. Two balls are packed tightly in a cylindrical container. Detennine the amount of empty space inside the cylinder. A. 134 cm 3 B. 268 cm 3 c. 536 cm 3 D. 804 cm A cube has a surface area of 480 cm 2. Express the side length of the cube as a radical. A..J480 cm B. 2./30 cm c. 4-./5 cm D. 2.Jfocm Page 26 Foundations of Mathematics and Pre-Calculus Fonn A

27 51. Which of the following trigonometric ratios would be used to. determine the measure of LA? B 12cm A. 4 cos A=- 15 B. 9 cos A=- 13 c. sin A=.Q. 15 D. tan A= n t1abc, LC= 90, BC= 8 cm and LBAC = 24. Determine the length of AB. A. 3.3 cm B. 8.8 cm C cm D cm Foundations of Mathematics and Pre-Calculus Fonn A Page 27

28 ,. 53. The average distance from the Earth to the Moon is km. Moon ~ Earth Which calculation would detennine the average distance from the Earth to the Sun? A tan B cos c. D tan cos Page28 Foundations of Mathematics and Pre-Calculus Form A

29 54. A square-based pyramid is constructed from the following net diagram. Note: this diagram is drawn to scale. What would be the angle of elevation of the slant height of the pyramid? A. -36 B. 44 c. 54 D. 60 Foundations of Mathematics and Pre-Calculus Form A Page 29

30 PART C: NUMERCAL-RESPONSE QUESTONS (calculator permitted) Value: 6 marks Suggested Time: 15 minutes NSTRUCTONS: When answering numerical-response questions on your Answer Sheet: print digits as illustrated: shade the bubble with the negative symbol if the answer is negative; shade or leave blank the bubble with the positive symbol if the answer is positive. write your answer in the spaces provided using one digit per box. noting proper place value. leave unused boxes blank. For example, will be written as: o [ill For example, 4 will be written as: For example, t, answered to two decimal places, will be written as: 0 0 O j.[!li] or 0 O 1.[!li] Page 30 Foundations of Mathematics and Pre-Calculus Form A

31 55. A line through A ( 12, 14) and B ( 27, k) is perpendicular to the line in the graph below. y Determine the value of k. Answer to the nearest integer. Record your answer neatly on the Answer Sheet. Foundations of Mathematics and Pre-Calculus Fonn A Page 31

32 56. The cost in dollars, C, for a banquet is detennined by C { n) = 12n + 900, where n is the number of guests attending the banquet. Determine C(80). Answer to the nearest whole number. Record your answer neatly on the Answer Sheet. 57. Six circus tickets and four concert tickets cost $ Three circus tickets and seven concert tickets cost $ Detennine the price of a single circus ticket. Answer in dollars and cents. Record your answer neatly on the Answer Sheet. Page 32 Foundations of Mathematics and Pre-Calculus 10 - \4<.l'\ ~offl\ r..

33 58. What is the value of n? 2~ =~2x2x2x2x2x7 Record your answer neatly on the Answer Sheet. 59. Convert 6 feet 5 inches to centimetres. Answer to the nearest centimetre. Record your answer neatly on the Answer Sheet. Foundations of Mathematics and Pre-Calculus Fonn A Page33

34 60. Detennine LF, given that 8CDE is an equilateral triangle. Answer to the nearest degree. F Record your answer neatly on the Answer Sheet. You have Examination Booklet Form A. n the box above #1 on your Answer Sheet, ensure you filled in the bubble as follows. Exam Bookiet Form/ A B C D E F G H Cahier d'examen e O O O O O O O Page 34 Foundations of Mathematics and Pre-Calculus Fonn A

35 Examination Rules 1. The time allotted for this examination is two hours. You may, however, take up to 60 minutes of additional time to finish. 2. Answers entered in the Examination Booklet will not be marked. 3. Cheating on an examination will result in a mark of zero. The Ministry of Education considers cheating to have occurred if students break any of the following rules: Students must not be in possession of or have used any secure examination materials prior to the examination session. Students must not communicate with other students during the examination. Students must not give or receive assistance of any kind in answering an examination question during an examination, including allowing their papers to be viewed by others or copying answers from another student's paper. Students must not possess any book, paper or item that might assist in writing an examination, including a dictionary or piece of electronic equipment, that is not specifically authorized for the examination by ministry policy. Students must not copy, plagiarize or present as their own, work done by any other person. Students must immediately follow the invigilator's order to stop writing at the end of the examination time and must not alter an Examination Booklet, Response. Booklet or Answer Sheet after the invigilator has asked students to hand in examination papers. Students must not remove any piece of the examination materials from the examination room, including work pages. 4. The use of inappropriate language or content may result in a mark of zero being awarded. 5. Upon completion of the examination, return all examination materials to the supervising invigilator. Queen's Primer for British Columbia Victoria. 2014

Foundations of Mathematics and Pre-Calculus 10 Examination Booklet Sample A

Foundations of Mathematics and Pre-Calculus Examination Booklet 20 2011 Sample A DO NOT OPEN ANY EXAMINATION MATERIALS UNTIL INSTRUCTED TO DO SO. Examination Instructions 1. On your Answer Sheet, fill