Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Evaluate  , to four decimal places. a. | 0.6293 | b. | 0.7771 | c. | 0.7273 | d. | 1.2349 |
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2.
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If  , determine the measure of  Z, to the nearest
degree.
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3.
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In  , MC = 5 cm and CX = 12 cm. Determine the
tangent ratio of  X, to the nearest thousandth.
 a. | 2.400 | b. | 0.923 | c. | 0.417 | d. | 2.600 |
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4.
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In the triangle, NL = 11 cm and tan  = 1.833. What is the length of HN, to the
nearest tenth of a centimetre?  a. | 6.0 cm | b. | 12.5 cm | c. | 11.0
cm | d. | 20.2 cm |
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5.
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Determine the measure of  , to the nearest degree. 
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6.
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A ladder leans against a vertical wall and makes an angle of 80.7° with the
ground. The foot of the ladder is 1.5 m from the base of the wall. Determine the length of the
ladder, to the nearest tenth of a metre.
a. | 9.1 m | b. | 9.3 m | c. | 9.2
m | d. | 1.5 m |
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7.
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Evaluate cos 26°, to four decimal places.
a. | 0.1012 | b. | 0.4384 | c. | 0.8988 | d. | 0.4877 |
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8.
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In  , GS = 63 cm and sin D = 0.88. Determine the length of DG,
to the nearest centimetre.
 a. | 34 cm | b. | 72 cm | c. | 55
cm | d. | 81 cm |
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9.
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In  , LX = 5 cm,  , and  . Determine the length of
WX to the nearest centimetre. a. | 12 cm | b. | 13 cm | c. | 8
cm | d. | 17 cm |
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10.
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Determine the length of x and the length of y, to the nearest
tenth of a metre.  a. | x = 8.9 m and y = 10.2 m | b. | x = 8.9 m and y = 13.4
m | c. | x = 10.2 m and y = 5.0 m | d. | x = 13.4 m and y = 10.0
m |
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11.
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Determine the time-and-a-half rate for an hourly wage of $13.20.
a. | $14.70 | b. | $19.80 | c. | $47.96 | d. | $8.80 |
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12.
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A truck driver earns $21.75/h and works 7.75 hours. How much money did the truck
driver earn?
a. | $168.56 | b. | $152.25 | c. | $29.50 | d. | $146.81 |
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13.
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A maid works the late shift and earns $128.13 at a rate of $22.50/h. If the pay
includes a shift premium of $128.13 for working late, how many hours did the maid work?
a. | 3.00 h | b. | 3.25 h | c. | 5.69
h | d. | 4.25 h |
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14.
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Kai works at a candy store on Wednesday night where she earns $313.45 per month.
Kai uses this money to pay for her cell phone plan that is $42/month, a transit pass for $51/month,
and a yoga class for $46/month. How much money will she have left after expenses?
a. | $266.45 | b. | $276.45 | c. | $178.45 | d. | $174.45 |
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15.
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Chloe works 39 h at $14.00/h. She has deductions of $81.90, $27.03, and $9.06
for income tax, Canada Pension Plan, and employment insurance, respectively. What is Chloe’s
net pay?
a. | $428.01 | b. | $455.04 | c. | $464.10 | d. | $546.00 |
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16.
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Erek worked 40 h at $17.00/h. He has deductions totalling $146.95. What was
Erek’s net pay?
a. | $386.10 | b. | $680.00 | c. | $203.95 | d. | $533.05 |
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17.
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Quon works as a hotel greeter in the summer earning $11.75/h. During the week he
works the following hours earns the following in tips:
Monday: 10 h plus $22 in
tips
Tuesday: 0 h plus $0 in tips
Wednesday: 9 h plus $46 in tips
Thursday: 7 h plus $44 in
tips
Friday: 11 h plus $8 in tips
Saturday: 0 h plus $0 in tips
Sunday: 0 h plus $0 in
tips
What is his gross pay for the week?
a. | $434.75 | b. | $554.75 | c. | $591.75 | d. | $314.75 |
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18.
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Erek works at a local restaurant earning $12.10/h. He is paid time-and-a-half
for any hours above a 40-h work week. Erek works the following hours earns the following in tips.
| Day | Hours Worked | Tips | | Monday | 0 | $0 | | Tuesday | 6 | $25 | | Wednesday | 0 | $0 | | Thursday | 10.5 | $84 | | Friday | 0 | $0 | | Saturday | 0 | $0 | | Sunday | 0 | $0 | | | |
What is his gross pay for
the week if he is required to give 2% of his tips to the kitchen staff? a. | $408.48 | b. | $306.47 | c. | $308.65 | d. | $199.65 |
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19.
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Dariol works as a desk clerk earning $19.70/h. She is paid regular time for the
first 40 hours, time-and--half for the 10 h and double time for any additional hours. What is
Dariol’s gross pay if she works 71 h?
a. | $1910.90 | b. | $1398.70 | c. | $1704.05 | d. | $2009.40 |
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20.
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Lucas receives a pay stub from his job as an executive assistant. He is paid
bi-weekly. Earnings Statement Employee Name: Wong, Lucas Occupation: Athletic
Trainer Period End Date: June 18 Cheque Number: 1317 | Earnings | | | | | Deductions | | | Description | Hours | Rate | Amount | | Description | Amount | | Regular
Hours | 80 | 20.50 | 1640.00 | | Income Tax | 748.02 | | Overtime | 18 | 30.75 | 553.50 | | EI | 21.46 | | Overtime | 0 | 41.00 | 0.00 | | CPP | 64.85 | | Vacation
Pay | | | 87.74 | | | | | Gross Pay | | | 2281.24 | | Total Deductions | 834.33 | | | | | | | Net
Pay | 1446.91 | | | | | | | |
What
is Lucas’s gross pay for the year? a. | $118 624.48 | b. | $54 749.76 | c. | $59
312.24 | d. | $27 374.88 |
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Short Answer
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1.
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Mia is helping build a wheelchair ramp at her community centre. The ramp must
reach a vertical distance of 1.1 m. If the ramp must make an angle of 5° with the ground, how
long will the ramp be? Express your answer to the nearest tenth of a metre.
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2.
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In  XYZ, XY and XZ have equal lengths of 7 cm. YZ is 11 cm.
Using trigonometry, determine the height of the triangle, XW, to the nearest tenth of a
centimetre. 
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3.
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Determine the length of x, to the nearest tenth of a metre. 
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4.
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Brian works as a realtor and earns 3.50% commission on a home sale of $767 473.
How much money did he make on the sale?
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5.
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Erek works as a data entry clerk earning $17.90/h. He is paid regular time for
the first 40 hours, time-and-a-half for 10 hours and double time for any additional hours. What is
Erek’s gross pay if his works 61 h?
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6.
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Determine the difference in Provincial Income Tax between British Columbia and
Alberta for a salary of $93 000 using the information below. 2018 British Columbia: Provincial
Income Tax Amounts | Income | Tax Rate | | $0 – $38 898 | 5.06% | | $38 898.01 – $77 797 | 7.7% | | $77 797.01 – $89 320 | 10.5% | | $89 320.01 – $108 460 | 12.29% | | over $108 460 | 14.7% | | |
2018 Alberta:
Provincial Income Tax Amounts | Income | Tax Rate | | $0 – $126 625 | 10% | | $126 625.01 – $151 950 | 12% | | $151 950.01 – $202 600 | 13% | | $202 600.01 – $303 900 | 14% | | over $303 900 | 15% | | |
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Problem
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Use the following information to answer the next two
questions.
The percent grade of a road is the ratio of the vertical rise of the road to
the horizontal distance, expressed as a percent. A road in the mountains has a vertical rise of 100 m
over 3 km of horizontal distance.
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1.
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Determine the percent grade of the road, to the nearest percent.
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2.
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A cell phone tower is supported by two guy wires, attached on opposite sides of
the tower. One guy wire is attached to the top of the base of the tower at point A. The other is
attached to the base at point E, at a height of 69 m above the ground. 
a)
Show that  ABC and  EBD are similar triangles. b)
Determine the height of the base of the tower, to the nearest metre. c) Determine the
length of each guy-wire, to the nearest metre.
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Use the following information to answer the next two
questions.
The string on Liam’s kite is 42 m long and makes an angle of 70°
with the ground. Liam’s friend, Lucas, is standing directly below the kite.
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3.
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How far apart are Liam and Lucas now, to the nearest tenth of a metre?
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4.
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Rhada works as a hotel greeter in the summer earning $11.35/h. During the week,
she works the following hours earns the following in tips:
Monday: 0 h plus $0 in
tips
Tuesday: 4 h plus $26 in tips
Wednesday: 0 h plus $0 in tips
Thursday: 0 h plus $0 in
tips
Friday: 6 h plus $36 in tips
Saturday: 0 h plus $0 in tips
Sunday: 0 h plus $0 in
tips
What is her gross pay for the week?
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5.
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In the restaurant industry servers are often required to pay into a tip pool. A
tip pool is an amount or percentage of a server's tips that the server shares with other
restaurant staff. Lei has just been hired by a local restaurant. She is paid minimum wage of
$11.35/h plus tips. In addition, she pays 3.75% into the tipping pool. Assuming Lei makes the same
amount each night and works 200 days a year, determine her net pay for the year. 2018 British
Columbia: Provincial Income Tax Amounts | Income | Tax Rate | | $0 – $38 898 | 5.06% | | $38 898 – $77 797 | 7.7% | | $77 797 – $89 320 | 10.5% | | $89 320 – $108 460 | 12.29% | | over $108 460 | 14.7% | | |
2018 Canada: Federal
Income Tax Amounts | Income | Tax Rate | | $0 – $45 916 | 15% | | $45 916 - $91 831 | 20.5% | | $91 831 - $142 353 | 26% | | $142 353 - $202 800 | 29% | | over $202 800 | 33% | | |
Employment Insurance
(EI) Premium Rate: 1.66% to a maximum of $858.22 Canada Pension Plan (CPP) Contribution Rate:
4.95% to a maximum of $2593.80
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6.
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Carlo is a sales consultant for a mail-order jewelry company and earns 12% of
his sales. If he sells more than $2200 in a week, he earns a $120 bonus. Last week, Carlo sold the
following amounts each day. | Monday | $529.00 | | Tuesday | $112.00 | | Wednesday | $209.00 | | Thursday | $680.00 | | Friday | $172.00 | | |
Carlo has the
following deductions taken from his pay: BC Tax: $10.33 Federal Tax: $30.64 Employment
Insurance: $3.39 Canada Pension Plan: $6.78 a) What was Carlo’s gross pay for last
week? b) What is Carlo’s net pay? Is it reasonable? Why?
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