Math 10-3
January, 2011
Ms. M. Fournie Ms. L. Rous
The Final Exam consists of:
Part A ~ Multiple Choice (50)
· Total of 8 pages.
· Please write your answers on the scantron card in pencil.
· Please write your name on the scantron card.
Part B ~ Written Response (11)
· Total of 4 pages.
· Please show all of your work for full marks.
· Please write legibly and in pencil.
Two hours are allotted for exam completion.
PART A ~ MULTIPLE CHOICE
Please select the best response and place your answer on the scantron card provided.
UNIT PRICING AND CURRENCY EXCHANGE
1. Jean and her best friend, Verna, want to buy 3 DVDs that are regularly priced at $20.00 each. Today, three stores, A, B, and C, have the DVDs on sale. At which store will the friends spend the least amount of money if they buy 3 DVDs?
a) Store A
b) Store B
c) Store C
d) Stores A and C
2. Lisa is managing a popular new band. Each of the songs the band plays is 3 to 5 minutes long. Lisa needs to let the venue where the band will be performing know approximately how many songs they will play in two hours. Which is the best estimate?
a) 8 songs
b) 12 songs
c) 20 songs
d) 30 songs
3. Whose hourly rate of pay is the highest?
a) Antoine earns $66.00 in 8 hours.
b) Laurie earns $72.00 in 5 hours.
c) Ken earns $51.00 in 5 hours.
d) Sara earns $89.00 in 6 hours.
4. Janine just came home from a vacation in Cancun, Mexico and has 300.00 pesos left over. If the bank buys pesos at $0.083 443 CAD, how much will Janine get back in Canadian dollars?
a) $25.03
b) $3595.27
c) $359.53
d) $250.30
5. Adelina will be going to a construction trade show in Paris this year. Her budget is $1200.00 CAD. If the bank sell rate is one euro for $1.644 814 CAD, how many euros will she have to spend in Paris?
a) €1973.78
b) €729.57
c) €731.71
d) €1968.00
EARNING AN INCOME
6. Marietta is a tree planter who works on northern BC reforestation projects. She is paid 17 cents for each tree sapling she plants. One week she planted 2473 saplings. How much did she earn that week?
a) $145.47
b) $4204.10
c) $420.41
d) $14 547.06
7. On a pay statement, which will be the highest?
a) net pay
b) tax deductions
c) taxable income
d) gross earnings
8. Leila is paid a 10% commission on sales she makes. One week she sells $11 120.00 worth of goods.
What is her commission for that week?
a) $1121.00
b) $1112.00
c) $112.00
d) $11 120.00
9. Marco earns $17.26 an hour. He receives a 3% raise. How much will he earn in an 8-hour day?
a) $179.50
b) $124.22
c) $142.24
d) $138.49
10. Harpinder earns $8.50 an hour as a waiter. If he works 22 hours in a week and earns $285.50 in tips, what are his total earnings for the week?
a) $187.00
b) $1307.50
c) $472.50
d) $463.60
LENGTH, AREA, AND VOLUME
11. A roll of vinyl flooring costs $30.00 a square metre. How much would you need to spend to cover a floor that is 5 m by 8 m? Recall: Area = Length x Width
a) $40.00
b) $1200.00
c) $780.00
d) $390.00
12. A landscaper is laying weed barrier cloth on a section of a garden that is 15 ft x 21 ft. The weed barrier cloth is sold by the square yard. How many square yards of weed barrier cloth will she need?
Recall: 1 yard = 3 feet
Recall: Area = Length x Width
a) 35 yd2
b) 315 yd2
c) 675 yd2
d) 2835 yd2
13. Your dining room measures 7.5 m by 9 m. You have found the perfect carpet for the room, but it is sold in square yards. How many square yards of carpet do you need?
Recall: 1 yard = 0.9144 metres
Recall: Area = Length x Width
a) 67.5 yd2
b) 61.72 yd2
c) 80.688 yd2
d) 90.25 yd2
14. You have purchased a 5-gallon fish tank from an American online store, but all of your measuring utensils are in SI (metric). How many litres of water will you need to fill the tank?
Recall: 1 US gallon = 3.7854 litres
a) 18.9270 L
b) 1.0998 L
c) 0.4539 L
d) 9.5461 L
15. A potato chip manufacturer packages chips in a cylindrical cardboard container with a diameter of 3 1/8″ and a height of 9 1/8″. How much cardboard is needed to make one container, without the top and bottom?
Recall: Circumference = π x Diameter
Recall: Area = Length x Width
a) 28.58 in2
b) 109.53 in2
c) 18.37 in2
d) 89.58 in2
MASS, TEMPERATURE, AND VOLUME
16. Given that the temperature in Fahrenheit is 77o, the same temperature in Celsius is approximately
Recall: Celsius = 5/9 (Fahrenheit - 32)
a) 25 oC
b) 81 oC
c) 137 oC
d) 85 oC
17. Given the temperature in Celsius is 30o, the temperature in Fahrenheit is approximately
Recall: Fahrenheit = 9/5 x Celsius + 32
a) −4 oF
b) 22 oF
c) 113.5 oF
d) 86 oF
18. 45 degrees Fahrenheit are approximately how many degrees Celsius?
Recall: Celsius = 5/9 (Fahrenheit - 32)
a) 81 oC
b) 25 oC
c) 6 oC
d) 121 oC
19. A mass of 2.2 tonnes, when stated in pounds, is approximately
Recall: 1 tonne = 2204.6226 pounds
a) 1000 lb
b) 4840 lb
c) 2000 lb
d) 35.2 lb
20. A 10 lb bag of flour weighs approximately how many kilograms?
Recall: 1 kilogram = 2.2046 pounds
a) 4.5 kg
b) 0.22 kg
c) 22 kg
d) 16 kg
21. You are planning on carrying a load of bales weighing 7824 lb. How much is this in tons?
Recall: 1 ton = 2000 lb
a) 489 tons
b) 3.912 tons
c) 7.824 tons
d) 3.556 tons
22. For flax, there is 39.4 bushels per tonne. How many bushels of flax are there in 4.8 tonnes?
a) 8.21 bushels
b) 0.12 bushels
c) 189.12 bushels
d) 10 560 bushels
23. For oats, there is 0.0154 tonnes per bushel. How many tonnes of oats are there in 350 bushels?
a) 22 727.27 tonnes
b) 5.39 tonnes
c) 11 858 tonnes
d) 0.35 tonnes
24. The moon has a gravitational force that is approximately 0.165 that of earth’s. If an object weighs 200 pounds on earth, what will it weigh on the moon?
a) 15 lb
b) 200 lb
c) 90.91 lb
d) 33 lb
25. Jupiter has a gravitational force that is 2.34 times greater than earth’s. If an object weighs 100 pounds on earth, what will it weigh on Jupiter?
a) 234 lb
b) 42.74 lb
c) 100 lb
d) 45.46 lb
ANGLES AND PARALLEL LINES
26. What true bearing is WSW equivalent to?
a) 22.5o
b) 157.5o
c) 200.5o
d) 247.5o
27. A tugboat operator is travelling SSE. He spots a stationary boat at 10 o’clock. What should the true bearing from the tugboat to the stationary boat be?
a) 97.5o
b) 300o
c) 157.5o
d) 217.5o
28. A stud is nailed at an 86o angle to a wall plate. How must the angle between the stud and the wall plate be adjusted so that the stud is perpendicular to the wall plate?
a) The measure of the angle must be decreased by 6o.
b) The measure of the angle must be increased by 4o.
c) The measure of the angle must be increased by 94o.
d) No adjustment is necessary. The stud is already
perpendicular to the wall plate.
29. Suppose that a pizzeria normally cuts a circular pizza into 10 equal slices, each angle having an equal angle measure. If someone asks that some of them be sliced in half, what will the angle measure of the half slices be?
a) 15o
b) 18o
c) 22.5o
d) 30o
30. Consider this section of a lattice tower. If the two highlighted cross braces are the main line segments, and the right side of the tower is the transversal, which pair of numbered angles are corresponding angles?
a) Angles 5 and 7
b) Angles 3 and 9
c) Angles 7 and 8
d) Angles 9 and 10
31. Look at this lattice created by a graphic artist. Line segment DF is the transversal. Which one of the following pairs of angles are (in this order) interior angles on the same side of the transversal and corresponding angles to ∠BED?
a) ∠ADE and ∠FEI
b) ∠EDH and ∠CFG
c) ∠DEI and ∠BEF
d) ∠ADE and ∠CFE
32. Which one of the following statements regarding angles around two lines and a transversal are not true?
a) If the measures of two alternate interior angles are equal then the two lines must be parallel.
b) When two lines are not parallel then the measures of two corresponding angles will not be equal.
c) Two interior angles on the same side of a transversal will be supplementary, whether the lines are parallel or not.
d) If two lines are parallel then the measures of any two alternate interior angles will be equal.
33. A square-cut end of a 1-by-8 piece of wood must be re-cut at a slant. To make the angle of the slant 107o, what angle must be cut off 90o?
a) 8.5o
b) 17o
c) 36.5o
d) 73o
34. The slanted outer beams of an A-frame building form a 72o angle with the ground floor. What must the angle between these beams and the joists supporting the second floor be if the second floor is to be horizontal like the ground floor?
a) 18o
b) 72o
c) 108o
d) 162o
35. A furniture-maker wants the seat and footrest of a wooden high chair (seen here from the side) to be parallel to the bottom of the chair. What must the measures of angles x and y equal (in that order)?
a) 70o and 70o
b) 110o and 70o
c) 70o and 110o
d) 110o and 110o
SIMILARITY OF FIGURES
36. The shape ABCD is an artistic bookend with a similar partner bookend, shape RSTU, which is slightly larger. Which side in RSTU corresponds to side BC?
a) RS
b) ST
c) TU
d) RU
37. Veronica was asked to scale a square of quilt fabric with a side length of 30 cm using a scale factor of 25%. What is the new side length of the square?
a) 5 cm
b) 7.5 cm
c) 22.5 cm
d) 37.5 cm
38. Julio looked at the profiles of the two dessert dishes and stated that they are not similar figures. Which of the following reasons could he use alone to argue that they are not similar figures?
a) Side EF is twice the size of side AB.
b) Side AD is the same length as side EH.
c) Angle D is not the same measure as angle H.
d) Angle E is the same measure as angle F.
39. Two of the angles in a triangle have measures of 79o and 81o. Which of the angle measures below could belong to a triangle that is similar to this triangle?
a) 81o and 80o
b) 81o and 20o
c) 79o and 90o
d) 79o and 21o
40. Kimiko drew the two similar right triangles below when she was trying to figure out the materials she would need to repair a corner of a wooden frame. What scale factor did she use on ∆ABC to create the second right triangle, ∆DEF?
a) 1/10
b) 1/3
c) 3
d) 10
TRIGONOMETRY OF RIGHT TRIANGLES
Using the diagram provided, state whether the following are true (a) or false (b).
41. Side QR is opposite ∠P.
42. Side PQ is the longest side.
43. r2 = q2 + p2
44. If ∠P = 53o then ∠Q = 43o
45. cos ∠Q = q/r
46. cos ∠P = sin ∠Q
47. ∠P + ∠Q = 180o
48. tan ∠Q = q/p
49. tan ∠P = p/q
50. Side PR is adjacent ∠Q
PART B ~ WRITTEN RESPONSE
Please show all calculations to demonstrate how you obtained the answer.
UNIT PRICING AND CURRENCY EXCHANGE
1. The Winnipeg Harvest food bank has started its semi-annual food drive. To support the drive, local grocery stores have advertised a sale on canned soup. Two different brands of soup are available in large quantities. Tastes Like Homemade is being sold at $18.89 for 12 cans of 284 mL. Savory Soup is being sold at $30.69 for 24 cans of 284 mL.
a) Which is the better deal between these two brands? Justify your answer.
b) If a school raises $500.00 to buy soup for the food bank, how many cans of the lowest-priced soup can the school buy?
EARNING AN INCOME
2. Tom works as a home support worker and earns $17.50 an hour. If he works more than 8 hours on any day, he gets paid double the hourly rate. His shifts for one week are shown on the time card.
a) How many overtime hours did Tom work during the week?
b) What were his gross earnings for the week?
LENGTH, AREA, AND VOLUME
3. The diagram below represents a scale drawing of Diana’s business property. She needs to purchase rock salt to melt the ice on the parking lot (shaded area) around her building. One bag of rock salt will cover 1500 square feet.
Recall: Area = Length x Width
a) Calculate the area of the actual parking lot.
b) How many bags of rock salt does Diana need to purchase to salt the entire parking lot?
MASS, TEMPERATURE, AND VOLUME