Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the measure of  , to the nearest degree. 
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2.
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A surveyor, S, is measuring the width of a street, using a marker, M. The
surveyor cannot measure the width directly, because there is too much traffic. She stands on the east
side of the intersection. The marker is on the west side of the intersection, and is 18 m north of
the intersection. Determine the width of the street, to the nearest tenth of a
metre.  a. | 33.0 m | b. | 21.5 m | c. | 11.7
m | d. | 27.7 m |
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3.
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The ratio of vertical distance to horizontal distance for a flight of steps is
2.7 m to 4.1 m. Determine the angle that the steps make with the ground, to the nearest
degree.
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4.
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A wheelchair ramp is being built for the entrance to a school. If the ramp makes
an angle of 3.9° with the ground and has a vertical height of 0.58 m, determine the horizontal
length of the ramp, to the nearest tenth of a metre.
a. | 8.5 m | b. | 5.8 m | c. | 1.2
m | d. | 0.9 m |
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5.
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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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6.
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What is the value of cos 90°?
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7.
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Determine the measure of  M, to the nearest degree. 
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8.
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In  , HC = 7 m,  , and  . Determine the measure of
 , to the nearest degree
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9.
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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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10.
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Which statement is incorrect?
a. | You can solve for the unknown side in any triangle, if you know the lengths of
the other two sides, by using the Pythagorean theorem. | b. | The hypotenuse is the longest side in a right
triangle. | c. | The Pythagorean theorem applies to all right triangles. | d. | The hypotenuse is
always opposite the 90° angle in a right triangle. |
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11.
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Catherine works as a realtor and earns 3.00% commission on a home sale of $788
983. How much money did she make on the sale?
a. | $2366.95 | b. | $23 669.49 | c. | $47
338.98 | d. | $236.69 |
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12.
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A tutor works 3.5 hours a day, 5 days a week and earns $354.38 for the week.
What is the hourly wage for the tutor?
a. | $20.25/h | b. | $5.06/h | c. | $17.50/h | d. | $41.69/h |
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13.
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On a recent 4.75-h shift a DJ earns $11.45/h plus $39.75 in tips. If 30% is
deducted and transferred to a savings account to be saved towards a school trip how much money will
she save from the shift?
a. | $24.81 | b. | $28.24 | c. | $16.79 | d. | $25.67 |
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14.
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Cheng does odd jobs for his family and the neighbours. He keeps track of the
jobs he does on his block for the week and records them in the chart below: | Job | Hourly Pay | | Babysitting | $11.50 | | Dog Walking | $6.00 | | Car Wash | $7.50 | | Gardening | $12.00 | | Mowing Lawns | $10.50 | | |
If Cheng babysits for 4 h, walks dogs for 2 h, washes cars for 1 h,
gardens for 4 h and mows lawns for 5 h what is his income for the week. a. | $166.00 | b. | $140.50 | c. | $161.00 | d. | $142.00 |
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15.
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The Canada Pension Plan (CPP) employee contribution rate is 4.95% of a
person’s gross pay up to a maximum of $2593.80 per year. The employer’s contribution rate
is 4.95% of a person’s gross pay up to a maximum of $2593.80 per year. How much did the
government collect in CPP payments for the year if the employee made $74 000.00 for the year?
a. | $2593.80 | b. | $3890.70 | c. | $5187.60 | d. | $3663.00 |
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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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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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18.
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Lucas receives a pay stub from his job as a writer/editor. He is paid monthly.
Earnings Statement Employee Name: Garcia, Lucas Occupation: Database
Administrator Period End Date: June 18 Cheque Number: 1331 | Earnings | | | | | Deductions | | | Description | Hours | Rate | Amount | | Description | Amount | | Regular
Hours | 160 | 22.25 | 3560.00 | | Income Tax | 3973.60 | | Overtime | 40 | 33.38 | 1335.00 | | EI | 19.07 | | Overtime | 70 | 44.50 | 3115.00 | | CPP | 57.64 | | Vacation
Pay | | | 320.40 | | | | | Gross Pay | | | 8330.40 | | Total Deductions | 4050.31 | | | | | | | Net
Pay | 4280.09 | | | | | | | |
What
is Lucas’s net pay for the year? a. | $48 603.73 | b. | $99 964.80 | c. | $51
361.07 | d. | $102 722.14 |
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Use the pay stub to answer the following questions.
Hunter
receives a pay stub from his job as an executive assistant. He is paid weekly. Due to a computer
glitch some of the calculations were replaced by “ *****”. Earnings
Statement Employee Name: Smith, Hunter Occupation: Writer/Editor Period End Date: March
20 Cheque Number: 1285 | Earnings | | | | | Deductions | | | Description | Hours | Rate | Amount | | Description | Amount | | Regular
Hours | 40 | 19.75 | ***** | | Income Tax | 203.99 | | Overtime | 2.5 | 29.63 | ***** | | EI | 14.92 | | Overtime | 0 | 39.50 | ***** | | CPP | 44.48 | | Vacation
Pay | | | 34.56 | | | | | Gross Pay | | | ***** | | Total Deductions | ***** | | | | | | | Net
Pay | ***** | | | | | | | |
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19.
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What is Hunter’s take home pay for the period?
a. | $898.64 | b. | $635.24 | c. | $600.68 | d. | $650.16 |
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20.
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What percentage of Hunter’s gross pay was deducted from his take home
during the pay period?
a. | 29.3% | b. | 25.4% | c. | 74.6% | d. | 70.7% |
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Short Answer
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1.
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A roof is shaped like an isosceles triangle. The slope of the roof makes an
angle of 26.1  with the horizontal, and has an altitude of 4.1 m.
Determine the width of the roof, to the nearest tenth of a metre. 
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2.
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A flight of stairs has a ratio of vertical distance to horizontal distance of 3
to 5. What angle does the flight of stairs make with the ground, to the nearest degree?
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3.
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A telephone pole is secured with a guy wire as shown in the diagram. The guy
wire makes an angle of 72° with the ground and is secured to the ground 9 m from the bottom of
the pole. Determine the height of the telephone pole, to the nearest tenth of a metre. 
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4.
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Quon is a chef. His regular pay is $21.35/h. If he works on a holiday, he
receives a shift premium of double time for those hours. Calculate his gross pay for the following
week. | Sunday | Monday - Holiday | Tuesday | Wednesday | Thursday | Friday | Saturday | | 8 h | 6 h | Day
Off | Day Off | 9 h | 5 h | 10 h | | | | | | | |
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5.
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Brian is a lab technician. His regular pay is $25.70/h. If he works on a
holiday, he receives a shift premium of double-time for those hours. Determine how many hours he
worked on the holiday if his gross pay for the following week is $1207.90. | Sunday | Monday - Holiday | Tuesday | Wednesday | Thursday | Friday | Saturday | | 10 h | ____ h | Day Off | Day Off | 8 h | 9 h | 8
h | | | | | | | |
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6.
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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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Problem
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1.
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A submarine is travelling parallel to the surface of the ocean at a depth of 507
m. It begins a constant ascent in order to reach the surface after travelling a distance of 4070 m.
The ascent takes 43 min.
a) What angle of ascent, or angle of elevation, would the
submarine need to make to reach the surface in 4070 m? Answer to the nearest degree.
b) How
far did the submarine travel horizontally during its ascent to the surface? Answer to the nearest
metre.
c) Determine the horizontal speed of the submarine during its ascent. Give your
answer to the nearest metre per second.
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2.
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Oliver’s dog is lying on the ground 1.2 m away from him. The angle of
elevation from the dog to the top of Oliver’s head is 53°. How tall is Oliver, to the
nearest tenth of a metre? 
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3.
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A telephone pole is secured with two cables. The first cable is attached to the
top of the pole and makes an angle of 80° with the ground. The cable is secured to the ground 9
m from the bottom of the pole. The second cable is attached to the top of the pole and secured to the
ground 2.5 times as far from the pole as the first cable is, on the same side of the pole. Determine
the length of the second cable, to the nearest tenth of a metre. 
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4.
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Naomi has been hired to trim 300 overgrown hedges in her city.
She can be
paid in two ways:
Option 1: $6.00 per hedge trimmed
Option 2: $1300 to complete the job in 5
days
Which method would you recommend Naomi choose? Explain your reasoning.
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5.
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In the restaurant industry servers are often required to pay a tip. A tip out is
an amount or percentage of a server's tips that the server shares, either voluntarily or as
mandated, in a tip sharing or tip pooling agreement. Tips are shared with other employees such as
bussers, bartenders, back waiters and host/hostesses whose job duties indirectly assist the
server.
Mirka has just been hired by a local restaurant. She is paid minimum wage of $11.35
plus tips. In addition, she pays a tip out of 5.5% based on her gross sales for the day. If
Mirka works a 4 hour shift and earns 7% on $1155.00 in gross sales, how much does she make for the
night?
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6.
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Ivanna completed job interviews with two companies. Company A offered a yearly
salary of $91500 with a $5000 bonus for the first year. Company B offered a salary of $92 500. Using
the information below determine which position Ivanna should accept. 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 Canada: Federal
Income Tax Amounts | Income | Tax Rate | | $0 – $45 916 | 15% | | $45 916.01 – $91 831 | 20.5% | | $91 831.01 – $142 353 | 26% | | $142 353.01 – $202 800 | 29% | | over $202 800 | 33% | | |
Employment Insurance
(EI) Premium Rate: 1.66% to a maximum of $857.22 Canada Pension Plan (CPP) Contribution Rate:
4.95% to a maximum of $2593.80
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