foundations & pre-calculus 10 final exam review...

Foundations & Pre-Calculus 10

Final Exam Review Package

Adapted from Previous Ministry BC Provincial Exams

Preparing peop le to thr ive in meaningful l ive s

Collingwood 2013-14

Black, Carlbeck, Hill, Rickard, Vidic, Wong

Collingwood 2014 * Questions taken from Ministry website at http://www.bced.gov.bc.ca/exams/search/

Unit I – Numbers & Exponents

Sample Exam

1. Which of the following powers is a perfect cube?

A. 23

B. 65

C. 46

D. 29

2. Write as a single power

3

3

4

12

A. 03

B. 33

C. 38

D. 648

3. Given 1x , arrange from the least to the greatest:

3 2

3,

1, x

xx

A. 3 2

3,,

1xx

x

B. xxx

,,1 3 2

3

C. 3

3 2 1,,x

xx

D. xx

x ,1

,3

3 2


4. Two gears are shown below in their starting position. Gear 1 has 6 teeth.

Gear 2 has 8 teeth.

As Gear 1 turns, it causes Gear 2 to turn at a different rate.

Gear 1 is rotated until the two gears are back to this starting position.

What is the minimum number of rotations Gear 1 requires to return to this starting

position?

A. 48 rotations B. 24 rotations C. 4 rotations D. 2 rotations

5. Three students were asked to show steps for simplifying 3 1080 to 3 56 .

Which student made a mistake, if any?

A. Jean B. Sally C. Mark D. All of them show correct work.


Sample A 2010-11

9. Which of the following statements are true?

A. I and III only B. I and IV only C. II and III only D. II and IV only

6.

Simplify: 3

4

43

6

2

54

yx

yx

A. 4436 yx

B. 4

1236

y

x

C. 4481 yx

D. 4

1281

y

x

7. Given

210 xxn , determine the value of n . Answer to the nearest integer.

8. When 5 34 9 77 is simplified to n7 , determine the value of n . Answer to two decimal places.


10. Which of the following statements are true?

A. I and IV only B. II and III only C. II, III, and IV only D. I, II, III, and IV only

11. Simplify: 72

A. 62

B. 26

C. 218

D. 236

12. Which pattern could be used to predict 43 ?


13. Evaluate: 4

3

16

A. 8

B. 8

1

C. 2

1

D. 2

14. Which two number have the following properties? Their GCF is 12.

Their LCM is 72.

A. 2 and 3 B. 24 and 36 C. 48 and 72 D. 72 and 864

15. Which of the followign number lines best represent the placement of X, Y, Z given:

52X

Y cube root of 68 4 2Z


16. Chantal made a mistake in her simplification of

4

253

a

a

.

Which step contains her first mistake?

A. Step I B. Step II C. Step III D. Step IV

17. Simplify

3

3125

25

x

xa

A. 125

93 ax

B. 5

3ax

C. 93125 ax

D. 5

27ax


18. A research assistant calculated the brain mass, b , of an 8 kg cat. She used the formula

3

2

01.0 mb , where m is the total mass of the cat.

In which step did the research assistant make her first mistake?


Sample B 2010-11

19. What is the least common multiple of 18 and 24?

A. 32

B. 32 32

C. 23 32

D. 34 32

20. What is the greatest common factor of 12, 24, 30, 72?

A. 360

B. 12 C. 6

D. 2


21. Express 52 as an entire radical.

A. 10

B. 20

C. 50

D. 100

22. Order the numbers from the smallest value to the largest value.

A. I, IV, II, III B. I, IV, III, II C. IV, I, II, III D. IV, I, III, II

23. Simplify: 433 32 xx

A. 3624x

B. 1324x

C. 3618x

D. 136x

24. Which one of the following sets of numbers contains only rational numbers?

A. }16,1.7,4

3{

B. }2

5,6,

2

1{

C. }121314.4,23.4,3{

D. },93,10{


25. Simplify: 3 1080

A. 3 1352

B. 3 403

C. 3 56

D. 3 306

26. Simplify: 0332 43 aa

A. 69a

B. 627a

C. 836a

D. 9108a

27. Which expression is equivalent to 3

12 c ?

A. 3 2

1

c

B. 3 2

1

c

C. 3

1

c

D. 32c

28. Simplify:

3 43 xx

A. 6 x

B. 89x

C. 9 8x

D. 12 x

29. Determine the greatest common factor of 235 4,12 yxyx and 426 yx .

A. xy2

B. yx22

C. 234 yx

D. 4512 yx


30. A bacteria culture doubles every hour. If there are 10000 bacteria now, how many bacteria were there 4 hours ago? Answer to the nearest bacterium.

Sample Exam 1. B 2. B 3. A 4. C 5. A 6. D

7. 5 8. 2.85

Sample A 9. A 10. C 11. B 12. A 13. B 14. B

15. A 16. C 17. A 18. B

Sample B 19. C 20. C 21. B 22. C 23. B 24. A

25. C 26. B 27. A 28. A 29. B 30. 625

Unit II – Polynomials

Sample Exam

31. Determine a simplified expression for the lateral surface area of the prism below.

A. xx 168 2

B. 8208 2 xx

C. 21616 2 xx

D. 284 23 xxx

32. Determine an expression for the area of the largest square in the diagram below.

A. 254 2 x

B. 25204 2 xx

C. 265 2 x

D. 26185 2 xx


33. Derek expanded and simplified 8523 2 xxx as shown below.

In which step is Derek’s first mistake?


34. When 205 2 x is factored, how many factors are in the result?

A. 2 B. 3 C. 4 D. 5

35. One of the factors of kxx 163 2 is 7x . Determine the value of k .

A. –35 B. –9 C. 5 D. 63


36. When factoring 672 xx to the form bxax , which two of the following characteristics are true?

A. I and III B. I and IV C. II and IV D. II and V

37. Which of the following areas formed by math tiles is factorable?


38. Determine the missing tiles, labelled w , in the tile model below.

Sample A 2010-11

39. Which of the following diagrams best represents the expansion of 13 xxpictorially?


40. Expand and simplify: 34x

A. 644812 23 xxx

B. 644812 23 xxx

C. 64164 23 xxx

D. 643 x

41. Kate simplifed the expression cxbx , where 0b and 0c , to the form kgkx 2 . What must be true about g and k?

A. 0g and 0k

B. 0g and 0k

C. 0g and 0k

D. 0g and 0k

42. Factor: 812 y

A. 29y

B. 29y C. 99 yy D. 933 yyy

43. Which of the following expressions have a factor of 2x ?

A. I only B. III only C. I and III only D. I, II, and III


44. Given that the area of the rectangle below is 592 2 xx , determine the length of the rectangle.

A. 12 x

B. 12 x

C. 92 x

D. 1082 2 xx

45. How many integer values are there for k for which 22 94 ykyx is factorable?

Sample B 2010-11

46. Expand and simplify: 234 x A. 916 2 x

B. 91216 2 xx

C. 92416 2 xx

D. 92416 2 xx


47. Pam expanded and simplified 423 2 xxx , as shown below.

In which step is Pam’s first error?

A. Step I B. Step II C. Step III D. There is no mistake

48. Determine an expression to represent the shaded area below.

A. 432 x

B. 67132 xx

C. 43292 xx

D. 67133 2 xx

49. Which of the following expressions is a factor of 2082 xx ? A. 2x

B. 4x

C. 5x

D. 10x


50. When completely factored, how many factors does 128242 24 xx have?

A. 2 B. 3 C. 4 D. 5

51. Joe was asked to factor 156 2 xx and represent it with math tiles.

What additional tiles would he need to represent the total area of the two factors?

*


Sample Exam 31. A 32. D 33. C 34. B 35. A 36. C

37. D 38. B

Sample A 39. A 40. A 41. A 42. C 43. D 44. A

45. 9

Sample B 46. D 47. B 48. C 49. D 50. C 51. B

Unit III – Functions & Relations

Sample Exam

52. Determine the x-value of the point of intersection for the system represented by 3xf

and 12

5 xxg .

A. 0.8 B. 1.6 C. 5 D. 8


53. Which of the following relations is not a function?

54. The altitude of a plane is a function of the time since takeoff. Identify the dependent variable.

A. time B. speed C. altitude D. acceleration


55. Determine the domain of the following relation.

A. )3,4(

B. )3,4[

C. ]3,4(

D. ]3,4[

56. Determine the range of the following relation.

A. , B. ]2,(

C. ),4[

D. ],2(


57. A bag of caramel candies has a total mass of 180 g, excluding the mass of the bag. Each candy has a mass of 6 g. As a candy is taken out of the bag and eaten, the mass of the

remaining candies is plotted versus how many candies are left in the bag. Determined the

range of this relation.

Which of the following powers is a perfect cube?

A. }30,...,3,2,1,0{

B. }180,...,12,6,0{

C. }6,5,4,3,2,1,0{

D. All real numbers

Sample A 2010-11

58. The cost C , in dollars of renting a hall for the prom is given by the formula

nnC 4500 , where n is the number of students attending the prom. Calculate the cost of renting the hall if 70 students attend.

A. 108$

B. 500$

C. 780$

D. 970$


59. Jim delivers newspapers. He gets paid 10 dollars for every day of work, plus 5 cents for every paper he delivers. Which of the following graphs best represents Jim’s possible

income for one day?

60. Determine the domain of the relation graphed below.

A. ]2,4(

B. )2,4[

C. )5,1[

D. ]5,1[


61. Which of the follwing relations are also functions?

A. III only B. I and III only C. II and IV only D. I, III, and IV only

62. Determine the range of the linear relation graphed below.

A. 4y

B. 2y

C. 4y

D. 2y


63. Given the graph of tgy below, determine the value of t for which 3tg . Answer as an integer.

Sample B 2010-11

64. Marbles are placed in a jar one at a time. Which graph below best represents the total mass of the jar as the marbles are added?


65. What is the range of the graph below?

A. III only B. IV only C. I and II only D. III and IV only


66. Which of the following relations are also relations?

A. I only B. I and IV only C. II and III only D. II, III, and IV only

67. What does the slope represent in the graph below?

A. Price per ticket B. Profit from tickets C. Revenue from tickets D. Number of tickets sold


68. Damien has a list of 37 potential customers for his house-painting business. In order to get a business grant, he must graph his income versus the number of customers. Determine the

domain of the graph.

A. {0, 1, 2, 3, … } B. {0, 1, 2, 3, … 37} C. All real numbers D. All real numbers between 0 and 37

69. Which order pair represents 53 f ?

A. 3,5 B. 5,3 C. 5,3 D. 3,5

70. The cost C , in dollars, to rent a car is determined by the formula 2215.0 kkC , where k is the number of kilometres driven. Calculate the value of k if 166kC . Answer to the nearest kilometre.

Sample Exam 52. A 53. A 54. C 55. B 56. B 57. B

Sample A 58. C 59. A 60. A 61. B 62. B 63. -5

Sample B 64. C 65. D 66. D 67. A 68. B 69. C

70. 960

Unit IV – Linear Relations & Equations

Sample Exam

71. In which quadrant does the following system contain a solution?

22

11

12

xy

xy

A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV

72. Determine the solution to the following linear system:

01524

52

yx

xy

A. )5,5(

B. )5.2,5(

C. There is no solution. D. There are infinite solutions.

73. Determine the equation of the line that passes through 0,6A and is perpendicular to the line formed by 9,4B and 10,7C .

A. 183 xy

B. 183 xy

C. 23

1 xy

D. 23

1 xy

74. A boat took 3 hours to travel 24 km with the current. On the return trip, the boat took 5 hours to travel 24 km against the current. Determine the speed of the current.

A. 1.6 km/h B. 4 km/h C. 6.4 km/h D. 24 km/h


75. Two acid solutions are to be mixed together. Solution A is 30% acid by volume.

Solution B is 70% acid by volume.

How much of solution A is needed to mix the solution B to make an 800 mL mixture that

is 54% acid by volume? Answer to the nearest millilitre.

76. The function 1

5

23 xy will go through which point on the following graph?

A. Point A B. Point B C. Point C D. Point D


77. James correctly graphed 7

3

1 xy .

Which of the following student graphs should match James’ graph?


78. Which of the following coordinate pairs would be a possible point Q so that line CQ is perpendicular to the line AB?

A. 3,3Q B. 0,3Q C. 1,2Q D. 5,4Q


79. What are the coordinates of the x-intercept of the line segment?

A. 0,11 B. 11,0 C. 9,0 D. 0,9

Sample A 2010-11

80. Which graph represents the relation 0105 yx ?


81. Which of the following equations describes the linear relation graphed above?

A. II only B. I and II only C. I and III only D. II and III only

82. Determine the equation of a line, in slope-intercept form, that passes through the points

1,6 and 9,10 .

A. 42

1 xy

B. 22

1 xy

C. 82 xy

D. 132 xy


83. Solve for y in the following system of equations:

2153

1

yx

yx

A. 2 B. 3 C. 9 D. 12

84. Calculate the slope between the points 3,7 and 3,4 .

A. 2

B. 2

1

C. 2

D. 10


85. Use a ruler to determine the slope of the roof shown below.

A. 8

3

B. 4

3

C. 5

4

D. 3

4

86. A line with an undefined slope passes through the points 1,2 and qp, . Which of the following points could be qp, ?

A. 0,1 B. 1,0 C. 2,0 D. 0,2


87. What is the cost of hiring an electrician for 8 hours?

A. $550 B. $475 C. $400 D. $275

88. Two isosceles triangles have the same height. The slopes of the sides of trangle A are double the slopes of the corresponding sides of triangle B. How do the lengths of their

bases compare?

A. The base of A is quadruple that of B. B. The base of A is double that of B. C. The base of A is half that of B. D. The base of A is one quarter that of B.


89. Which of the following relations could be produced by 6

5

2 xy ?

A. I only B. II only C. I and II only D. I, II and III

90. Determine the slope of the linear relation 01553 yx

A. 3

5

B. 5

3

C. 5

3

D. 3

5


91. Which of the following coordinates are intercepts of the linear relation 03032 yx ?

A. I only B. I and IV only C. II and III only D. II and IV only

92. Kelly explained her method for graphing the linear relation 7

3

2 xy as follows:

Where did Kelly make the first mistake in her explanation?

A. Step I B. Step II C. Step III D. There is no mistake

93. Alex bought 144 bagels for $80. His profit was $75 once he had sold 100 bagels. Which equation below represents Alex’s profit, P, as a function of the number sold, n?

A. 8005.0 nP

B. 8005.0 nP

C. nP 75.0

D. 8055.1 nP


94. Determine the slope-intercept equation of the line that is parallel to 3

5

2 xy and passes

through the point 5,0 .

A. 32

5 xy

B. 52

5 xy

C. 35

2 xy

D. 55

2 xy

95. The cost to insure jewellery is a fixed amount plus a percentage of the value of the jewellery. It costs $32 to insure $1000 worth of jewellery or $44.50 to insure $3500 worth

of jewellery. What is the fixed amount to insure jewellry?

A. $27.00 B. $31.25 C. $44.65 D. $58.82

96. Lines A and B are perpendicular and have the same x-intercept. The equation of line A is 042 yx . Determine the y-intercept of line B.

A. – 8 B. – 2 C. 4 D. 8


97. Which of the following systems of linear equations has a solution of 4,3 .

A. 133

632

xy

yx

B. 133

632

xy

yx

C. 133

632

xy

yx

D. 133

632

xy

yx

98. Two planes have a cruising speed of 570 km/h without wind. The first plane flies for 12 hours against a constant headwind. The second plane flies for 10 hours in the opposite

direction with the same wind (a tailwind). The second plane flies 370 km less than the first

plane.

Determine two equations that could be used to solve for the wind speed, w, and the

distance travelled by the first plane, d.

A. 370)10)(570(

)12)(570(

dw

dw

B. 370)10)(570(

)12)(570(

dw

dw

C. 370)10)(570(

)12)(570(

dw

dw

D. 370)10)(570(

)12)(570(

dw

dw

99. Solve for x :

yx

yx

4

1643

100. A package of 12 hex bolts and 10 anchor bolts weighs 7 pounds. A second package of 5 hex bolts and 15 bolts and 15 anchor bolts weighs 4 pounds. How much does a single hex

bolt weigh? Answer in poundsto one decimal place.


Sample B 2010-11

101. The line 5

2

12 xy passes through which point on the graph?

A. A B. B C. C D. D


102. The graph below models a bicycle’s distance from a bike shop over time.

Calculate the change in the speed of the bike from segment P to segment Q.

A. Decreased by 15 km/h B. Decreased by 5 km/h C. Increased by 15 km/h D. Increased by 11 km/h

103. Solve the following system of equations:

13

824

yx

yx

A. 10,3 B. 6,1 C. 2,1 D. 2,3

104. How many solutions does this system of equations have?

43

73

xy

xy

A. No solution B. One solution C. An infinite number of solutions D. Cannot be determined without solving


105. A line has a slope of

3

2and passes through the point 0,6 . Which of the following points

must also be on the line?

A. 6,3 B. 8,3 C. 3,4 D. 3,9

106. A video game programmer needs to simulate a shot on a gaming screen. The shot needs to

have a slope of 5

6to a target at 250,100 . If the shooter has a horizontal position of 65,

what would be the shooter’s position on the screen?

A. 78,65 B. 125,65 C. 208,65 D. 8.220,65


107. Which of the following scenarios is not linear?

A. The height of a football thrown over time B. The total weight of a jar of pennies as more pennies are added C. The distance travelled by a car moving at a constant speed over time D. The pay of a truck driver who earns $2500 a month, plus $0.50 for every kilometre he

drives

108. The graph above shows the relationship between the amount of gasoline remaining in a 50 L tank and the distance driven for a certain car.

What does the x-intercept represent in this situation?

A. Fuel capacity of the gasoline tank B. Total distance travelled during a long trip C. Total distance driven until the car is out of gas D. Number of kilometres driven per litre of gasoline

109. Rewrite 6

5

xy in general form.

A. 065

yx

B. 065 yx

C. 0305 yx

D. 03055 yx


110. Given the equation 0 CByAx , which of the following conditions must be true for

the graph of the line to have a positive slope and a positive y-intercept?

A. A>0, B>0, C>0 B. A>0, B0 C. A>0, B>0, C0, B


113. Which of the following graphs represents a line that passes through 4,6 and is

perpendicular to xy3

2 ?

114. Determine the slope-intercept form of the line that passes through the point 3,4 , and is

parallel to the line segment that joins 5,1A and 1,3B . A. 93 xy

B. 53 xy

C. 153 xy

D. 153 xy

115. A hot-dog stand owner makes a profit of $100 when he sells 90 hot dogs a day. He has a loss of $30 when he sells 25 hot dogs a day. Which linear relation represents his profit?

A. 555.0 xy

B. 08.308.1 xy

C. xy 11.1

D. 802 xy


116. In which quadrant do the graphs of 7x and 12 xy intersect?

A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV

117. Joey bought 8 books. Some books cost $12 each the rest cost $18 each. He spent a total of $108. Which of the following systems of linear equations could represent the given

situation?

A. 1081812

8

yx

yx

B. 81812

8

yx

yx

C. 10818

812

yx

yx

D. 10818

812

yx

yx

118. Kim invested a total of $1500 between two bonds. One bond earned 8% per annum and the other bond earned 10% per annum. In one year, Kim earned $132 on her investments. How

much did she invest in the bond that earned 10%?

A. $600 B. $750 C. $900 D. $1000

119. A waterslide descends 20 m over a horizontal distance of 50 m. What is the slope of the waterslide? Answer, with a positive value, to the nearest tenth.

120. The slope of AB is

3

2 . The slope of CD is

24

w. Given AB II CD, determine the value of

w. Answer as an integer.


Sample Exam 71. C 72. C 73. A 74. A 75. 320 76. A

77. C 78. D 79. A

Sample A 80. A 81. D 82. A 83. B 84. A 85. B

86. D 87. B 88. C 89. C 90. C 91. B

92. D 93. D 94. D 95. A 96. A 97. D

98. A 99. -4 100. 0.5

Sample B 101. C 102. A 103. C 104. A 105. A 106. C

107. A 108. C 109. C 110. B 111. D 112. A

113. A 114. A 115. D 116. C 117. A 118. A

119. 0.4 120. -16

Unit V – Measurement & Trigonometry

Sample Exam

121. Which of the following examples is the best referent for one millimetre?

A. Diameter of a penny B. Thickness of a fingernail C. Length of a five-dollar bill D. Distance from the floor to a door knob


122. Which expression could be used to calculate the surface area of the right square-based pyramid with a base length of 10cm and a height of 12cm?

A. 21312102 SA

B. 21212102 SA

C. 21013102 SA

D. 21313102 SA

123. Which of the following expressions represents the volume of the cylinder below?

A. 4106 2 xxV B. 4123 23 xxxV C. 48113 23 xxxV D. 163212 3 xxV


124. Determine the measure of QPR .

A. 59

B. 71

C. 102

D. 130

125. Which net diagram represents the prism below?


126. Raj was asked to make a cylindrical tank with a lateral surface area of 22622m and a height of 23m. Which net diagram below would be correct for this cylinder?

127. Calculate the volume of the right cone below.

A. 3210cm

B. 31799cm

C. 31914cm

D. 32168cm


128. Determine the surface area of the solid below.

A. 2481cm

B. 2558cm

C. 21414cm

D. 22199cm

129. Which of the following angles is an angle of depression?

A. A

B. B

C. C

D. D


130. A cat on the ground is 50m away from the base of a pole. An osprey’s nest is on the top of the pole, which is 20m tall. What is the measure of the angle of inclination from the cat to

the osprey’s nest?

A. 22 B. 24 C. 66

D. 68

131. Calculate the volume of the shape below.

A. 36513m

B. 39027m

C. 314053m

D. 324106m

132. A wooden block is a square-based prism, as shown below:

Given the base area is 250cm and the height is 12cm, what is its surface area?

A. 2339cm

B. 2439cm

C. 2600cm

D. 21300cm


133. Which of the following net diagrams represents the figure below? Note: all diagrams

drawn to scale.


134. Which prism can be formed by the net below? Note all diagrams drawn to scale.

135. The lateral surface area of a cylinder is 21106cm . Given that the height is 11cm, calculate

the radius. Answer to the nearest cm.

136. How long is the fork below?

A. 8

34 inches

B. 8

64 inches

C. 6.4 inches

D. 1.11 inches


137. A surveyor drew a scale diagram of a building. Unfortunately, his plans got water on them.

Help the surveyor by figuring out the missing angle of elevation.

A. 18

B. 35

C. 40

D. 55


138. Which of the following triangular prisms have the same volume, to the nearest cubic metre?

A. I and II only B. I and III only C. II and III only D. I, II and III

139. A company has created an inflatable building that resembles a cube. On their website, they advertise a 3375 cubic foot building. George wants to know what the dimensions of the

building are. What is its length to the nearest foot?

A. 10 ft B. 15 ft C. 34 ft D. 58 ft


140. Determine the perimeter of the shape below in inches.

A. 8.4 inches

B. 2

15 inches

C. 8

35 inches

D. 8

75 inches

141. Determine the lateral surface area of a right cone with a height of 5.5 cm.

A. 236cm

B. 239cm

C. 273cm

D. 277cm


Sample A 2010-11

142. A baker get his muffin boxes from the United States. The tallest muffins he bakes are 11 cm. Estimate the height of the smallest box in which the muffins will fit.

A. 30 inches tall B. 10 inches tall

C. 5 inches tall

D. 4 inches tall

143. Jasdeep and Kelsey converted 177 ounces into kilograms, as shown below.

Which statement below is true?

A. Only Kelsey is correct because the units cancel. B. Only Jasdeep is correct because the units cancel. C. Only Kelsey is correct because the conversion factors are incorrect. D. They are both incorrect for different reasons.

144. Polar company has designed an ice block in the shape of a cube. The volume of the cube is 315625cm . Which of the following dimensions is the smallest opening of an ice dispenser

that will accommodate length AB?

A. 25 cm wide B. 40 cm wide C. 45 cm wide D. Over 50 cm wide

145. As an estimation strategy, what could be used to best approximate one centimetre?

A. The length of your foot B. The width of your hand C. The width of your finger D. The width of a pencil lead


146. Sarah needs to replace the exhaust pipe on her dirt bike. She uses a Vernier calliper to find the diameter of the pipe.

A. 16.1 mm B. 19.2 mm C. 19.5 mm D. 29.0 mm

147. On a quiz, students were asked to convert 5 lbs 4 oz to a metric weight.

How should the teacher mark these two solutions?

A. Only Erin’s solution is correct. B. Only Stan’s solution is correct. C. Both Stan and Erin gave a correct solution. D. Neither Stan nor Erin gave a correct solution.


148. Which of the following shapes has a volume three times larger than the pyramid below?

149. A cylinder has a surface area of 402 2cm . The height is three times greater than the radius. What is the height of the cylinder?

A. 8.00 cm B. 10.48 cm C. 12.00 cm D. 16.97 cm


150. A bowling ball measures 264 cm in circumference. What is the volume of the smallest cube that will hold this ball?

A. Approximately 75 000 3cm

B. Approximately 311 000 3cm

C. Approximately 594 0003cm

D. Approximately 2 300 000 3cm

151. Which of the following net diagrams best constructs the cone below?


152.

Using a protractor, measure one of the unknown angles and determine the length of side x.

A. 3.5 m B. 4.8 m C. 5.1 m D. 13.2 m

153. In ABC , 90C , cmAB 17 , and cmAC 15 . Calculate the measure of ABC.

A. 28 B. 41 C. 49

D. 62

154. A 10 metre tall farmhouse is located 28.0 m away from a tree with an eagle’s nest. The angle of elevation from the roof of the farmhouse to the eagle’s nest is 30 .

What is the height of the eagle’s nest?

A. 16 m B. 24 m C. 26 m D. 48 m


155. Ann and Byron positioned themselves 35 m apart on one side of a stream. Ann measured the angles, as shown below.

Calculate the height of the cliff on the other side of the stream.

A. 17.5 m B. 62.9 m C. 70.1 m D. 107.1 m

156. Convert 150 pounds into kilograms. Answer to the neareast kilogram.

157. A ramp is set up using a rectangular piece of plywood (shaded region) as shown below.

Calculate the area of the plywood. Answer in square metres to one decimal place.


Sample B 2010-11

158. A road sign says to turn right in 1000 feet. Approximately how far is this distance in kilometres?

A. 0.3 km B. 0.6 km C. 1 km D. 1.5 km

159. Which of the following calculations converts 4 yards into centimetres?

A. in

cmyd

1

54.24

B. ft

cm

yd

ftyd

1

54.2

1

34

C. in

cm

ft

in

yd

ftyd

1

54.2

1

12

1

34

D. in

cm

ft

in

yd

ftyd

54.2

1

12

1

3

14

160. Determine the ratio of Acos

A. 3

2cos A

B. 3

5cos A

C. 3

13cos A

D. 5

3cos A


161. Using the ruler below, determine the length of the pencil.

A. "8

15

B. "2.5

C. "4

15

D. "8

17

162. Jung was told to plant trees two steps apart. Which of the following estimates is closest to “two steps apart”?

A. 6 ft B. 3 m C. 60 cm D. 30 in

163. Which distance below is the longest?

A. 0.6 mi B. 1000 yd C. 1 km D. 900 m


164. A cone-shaped water tank has a volume of 1000 litres. Which diagram best represents the 250 L, 500 L and 750 L marks outside of the water tank?


165. The slant height of the pyramid below is 45 cm. Calculate its volume.

A. 10 062 3cm

B. 12 728 3cm

C. 13 500 3cm

D. 40 500 3cm

166. A cylinder with a diameter of 10 cm and a height of 12 cm is half full of water. A sphere with a diameter of 5 cm is dropped into the cylinder. How far will the water level rise once

the sphere is completely under the water?

A. 0.57 cm B. 0.83 cm C. 5 cm D. 6 cm


167. The volume of the object below is 186 3cm . Calculate the length of x .

A. 3.1 cm B. 2.5 cm C. 1.75 cm D. 1.25 cm

168. The angle of elevation of the sun is 15 . How long is the shadow of a 64 m tall building?

A. 17 m B. 66 m C. 239 m D. 247 m


169. As Tracey is driving, she sees a sign telling her the road has a 7% grade (i.e., a rise of 7 metres for a horizontal change of 100 m). Which of the following expressions will

calculate the angle between the road and the horizontal?

A.

100

7tan

B.

100

7sin

C.

100

7tan 1

D.

100

7sin 1

170. Mission’s outdoor club collected the following data to determine the height of a cliff. Calculate the height of the cliff.

A. 3.7 m B. 8.4 m C. 24.4 m D. 26.1 m


171. Calculate the surface area of the solid hemisphere below. Answer to the nearest square metre.

172. Calculate the length of side x on the diagram below. Answer to the nearest centimetre.


Sample Exam 121. B 122. C 123. C 124. D 125. A 126. D

127. B 128. B 129. C 130. A 131. A 132. B

133. A 134. C 135. 16 136. A 137. B 138. A

139. B 140. B 141. B

Sample A 142. C 143. D 144. C 145. C 146. C 147. C

148. A 149. C 150. C 151. A 152. B 153. D

154. C 155. D 156. 68 157. 10.2

Sample B 158. A 159. C 160. B 161. A 162. A 163. C

164. A 165. B 166. B 167. B 168. C 169. C

170. D 171. 339 172. 45

foundations & pre-calculus 10 final exam review...

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