Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A dozen eggs cost $2.63. What is the unit rate?
a. | $0.45/egg | b. | $0.2$0.22/egg | c. | $0.26/egg | d. | $2.63/dozen |
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2.
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The graph shows how a cyclist travels over time. When does the cyclist start
to return to the starting position?
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3.
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The original pushpin for these scale diagrams was 24 mm long.
Which diagram
was drawn using a scale factor of 3.5?
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4.
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The original stapler for these scale diagrams was 18 cm long.
Which diagram
was drawn using a scale factor of 30%?
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5.
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A billboard is 5.0 m by 2.5 m. A scale diagram of
the billboard must fit in a space that is 18 cm by 15 cm. Which scale would be the most reasonable
one to use for the scale diagram??
a. | 1 m:3 cm | b. | 30 cm:1 cm | c. | 1 cm:3
m | d. | 300% |
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6.
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A photograph is 12 cm by 25 cm. A copy is made
using a scale factor of 75%. What are the dimensions of the copy?
a. | 9 cm by 19 cm | b. | 90 cm by 19 cm | c. | 9 mm by 19
cm | d. | 9 m by 19 m |
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7.
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A room in a floor plan is 8.4 cm by 9.12 cm. The
floor plan was made using a scale factor of 0.024. What are the dimensions of the actual
room?
a. | 2 m by 2.19 m | b. | 20.16 m by 21.9 m | c. | 3.5 m by 3.8
m | d. | 202 cm by 219 cm |
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8.
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Data for triangle ABC is shown on the first line of the table.
Triangle ABC is reduced so the height is 1.5 cm. Which triangle is the reduction of
triangle ABC? Triangle Name | Length of Base (cm) | Height of Triangle (cm) | Scale Factor | Area (cm2) | | ABC | 5.0 | 3.0 | 1.0 | 7.5 | 1.00 | DEF | 10.0 | 1.5 | 2.0 | 2.5 | 4.00 | GHI | 1.5 | 1.5 | 0.5 | 3.0 | 0.25 | JKL | 2.5 | 1.5 | 0.5 | 1.875 | 0.25 | MNO | 2.5 | 1.5 | 0.25 | 1.75 | 0.50 | | | | | | |
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9.
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Data for triangle ABC is shown on the first line of the table.
Triangle ABC is enlarged by a scale factor of 3.5. Which triangle is the enlargement
of triangle ABC? Triangle Name | Length of Base (cm) | Height of Triangle (cm) | Scale Factor | Area (cm2) | | ABC | 5.00 | 3.00 | 1.0 | 7.5 | 1 | DEF | 17.50 | 10.50 | 3.5 | 91.875 | 12.25 | GHI | 17.50 | 12.25 | 3.5 | 80.75 | 10.5 | JKL | 12.25 | 10.50 | 3.5 | 91.875 | 17.5 | MNO | 13.50 |
9.875 | 3.5 | 80.75 | 12.25 | | | | | | |
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10.
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Data for rectangle ABCD is shown on the first line of the table.
Rectangle ABCD is reduced to an area of 13 cm 2. Which rectangle is the
reduction of rectangle ABCD?
Rectangle Name | Length (cm) | Width (cm) | Scale Factor | Area (cm2) | | ABCD | 9 | 13 | 1 | 117 | 1 | EFGH | 3 | 4 | | 13 | | JKLM | 4 | | | 13 | | NOPQ | 1 | | | 13 | | RSTU | 3 | | | 13 | | | | | | | |
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11.
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Which of the following boxes are similar to a gift box that is 10 cm by 8 cm by
16 cm?
a. | a box 20 cm by 19 cm by 30 cm | b. | a box 6 cm by 4 cm by 8 cm | c. | a box 15 cm by 13 cm
by 21 cm | d. | none of the above |
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12.
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A 1:7 scale model of a shopping cart is 15 cm
tall, 8.4 cm wide, and 13.4 cm long. What are the dimensions of the actual shopping
cart?
a. | 95 cm by 40 cm by 45 cm | b. | 105 cm by 58.8 cm by 93.8
cm | c. | 150 cm by 160 cm by 195 cm | d. | 1 m by 0.6 m by 1
m |
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13.
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A 1:6 scale model of canoe is 30 in. long, with a
beam (width) of 5.3 in. and a depth of 2.2 in. What are the dimensions of the actual
canoe?
a. | 15 ft long, 31.8 in. beam, 13.2 in. deep | b. | 18 ft long, 38 in.
beam, 12 in. deep | c. | 13 ft long, 32 in. beam, 15 in.
deep | d. | 12 ft long, 18.5 in. beam, 3.2 in. deep |
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14.
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A stage director needs a large chess pawn for a
scene. The pawn in her chess set is 35 mm tall and she estimates that the height of the enlarged
pawn must be 700 mm.
What scale factor must she apply to create the enlarged pawn?
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15.
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A stage director needs a large chess pawn for a
scene. The pawn in her chess set is 35 mm tall and she estimates that the height of the enlarged
pawn must be 700 mm.
How many times greater will the volume of the larger pawn
be?
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Short Answer
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16.
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A 25 m long fence has 32 fence posts.
How long is a similar fence that has
105 posts?
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17.
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The giant statue of a white fox in White Fox, SK,
is 2.7 m long and 1.4 m tall.
It was built using a scale factor of 2.8.
Calculate the actual
length and height of a white fox to the nearest centimetre.
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18.
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The giant statue of a white fox in White Fox, SK, is 2.7 m long and 1.4 m tall.
Suppose the town council wants to create scale models of the
statue that are 9 cm tall to sell to tourists.
What scale factor should they use?
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Problem
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19.
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The following table shows the attendance for the Calgary Stampede over several
years. a) If you were to graph this data, would you use exact or rounded figures?
Explain. b) What scale would you use? c) Draw a graph of the data. Year | Attendance | 2004 | 1 221
182 | 2005 | 1 242 928 | 2006 | 1 262 518 | 2007 | 1 251
105 | 2008 | 1 236 351 | 2009 | 1 186 636 | 2010 | 1 145
394 | | |
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20.
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Robert works 25 h every two weeks. At this rate, how many hours will he work in
one year? Explain how you could solve this problem using two different strategies.
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21.
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A male moose is 2.6 m tall and 3.2 m long, with antlers that are 1.2 m across.
An artist wants to carve scale models of the moose. She uses a scale factor of  . a)
What are the dimensions of the carvings to the nearest centimetre? b) How many carvings
can she make using part of a railway tie that is 22 cm by 18 cm by 32 cm? Explain.
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