Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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An 8 kg bag of potatoes costs $9.15. What is the unit rate?
a. | $9.15/8 kg | b. | $0$0.87/kg | c. | $1.14/kg | d. | $0.99/kg |
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2.
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Olga drove 346 km and used up 28.7 L of gas. What is her car's fuel
efficiency?
a. | 8.29 L/100 km | b. | 12 m12 mL/km | c. | 12
km/L | d. | 0.083 L/km |
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3.
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The graph shows how a cyclist travels over time. Over which interval is the
cyclist travelling the fastest?
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4.
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The graph shows how a cyclist travels over time.
What does a zero
slope mean in the context of this graph?
 a. | The cyclist is travelling very fast. | b. | The cyclist is travelling parallel to the
starting point. | c. | The cyclist is travelling on a flat surface. | d. | The cyclist is not
moving. |
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5.
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Cashews cost $8.72 for 350 g. Peanuts cost $19.80 for 2 kg.
Jack buys $17.45
worth of cashews. Which equation determines the number of
kilograms of peanuts, A, Jack
could buy for the same amount of money?
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6.
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It costs $2.25/lb, plus a loading fee of $30, to
send freight by airplane around the Yukon and the Northwest Territories. Which equation determines
the amount of fresh fruit, A, you can ship from Vancouver to Whitehorse for $81, in
pounds?
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7.
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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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8.
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A computer chip is 12 mm by 26 mm. A scale
diagram of the computer chip must fit in a space that is 40 cm by 70 cm. Which scale would be the
most reasonable one to use for the scale diagram?
a. | 1 mm:33.3 cm | b. | 1 mm:26 cm | c. | 1 mm:3.3
cm | d. | 1 mm:2.6 cm |
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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 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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10.
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Data for rectangle ABCD is shown on the first line of the table.
Rectangle ABCD is reduced so the length is 1.5 cm. Which rectangle is the reduction of
rectangle ABCD? Rectangle Name | Length (cm) | Width (cm) | Scale Factor | Area (cm2) | | ABCD | 9.0 | 13
| 1 | 117
| 1 | EFGH | 1.5 | | |
3.25 | | JKLM | 1.5 | | | | | NOPQ | 1.5 | 2.25 | |
3.75 | | RSTU | 1.5 | | | | | | | | | | |
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11.
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Data for trapezoid ABCD is shown on the first line of the table.
Trapezoid ABCD is enlarged so the length of base a is 16 cm. Which rectangle is
the enlargement of trapezoid ABCD? Trape-
zoid
Name | Length of Base a (cm) | Length of Base b
(cm) | Height of
Trape-
zoid (cm) | Scale Factor | Area (cm2) | | ABCD | 8 | 6 | 16 | 1 | 112 | 1 | EFGH | 16 | 6 | 16 | 0.5 | 176 |
0.25 | JKLM | 16 | 12 | 32 | 2 | 448 | 4 | NOPQ | 16 | 16 | 28 | 2 | 448 | 4 | RSTU | 16 | 3 | 8 | 0.5 | 76 |
0.25 | | | | | | | |
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12.
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A 1:7 scale model of snowmobile is 46.3 cm long,
17.0 cm wide,
and 19.0 cm tall. What are the dimensions of the actual
snowmobile?
a. | 330.2 cm long, 129.0 cm wide, 143.0 cm tall | b. | 316.1 cm long, 121.0
cm wide, 128.0 cm tall | c. | 324.1 cm long, 119.0 cm wide, 133.0 cm
tall | d. | 328.0 cm long, 135.0 cm wide, 143.0 cm tall |
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13.
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A wardrobe is 202.8 cm tall, 96.0 cm wide, and
73.2 cm deep. What are the dimensions of a scale model built using a scale of 1:6?
a. | 101.4 cm tall, 48.0 cm wide, 36.6 cm deep | b. | 50.7 cm tall, 24.0
cm wide, 18.3 cm deep | c. | 33.8 cm tall, 12.2 cm wide, 16.0 cm
deep | d. | 33.8 cm tall, 16.0 cm wide, 12.2 cm deep |
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14.
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Rectangle A is 6 cm high, 9 cm long, and 15 cm wide.
Rectangle B is 14 cm
high, 21 cm long, and 35 cm wide.
By what factor is the volume of rectangle B greater than the
volume of rectangle A?
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15.
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A cylindrical oil tank has a surface area of 1800 m 2. A similar
oil tank has dimensions that are reduced by a scale factor of  . What is the surface
area of the smaller tank? a. | 800 m2 | b. | 630 m2 | c. | 1200
m2 | d. | 533 m2 |
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Short Answer
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16.
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The base and height of a triangle with an area of 80 cm 2 will be
reduced by a scale factor of  . Determine the area of the reduced triangle to two
decimal places.
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17.
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A two-person canoe is 17 ft long, with a beam (width) of 34 in. and a depth of
14 in. Determine these dimensions on a scale model built using a scale of 1:8.
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18.
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An orange has a diameter of 8 cm. A honeydew melon has a diameter of 18 cm.
Estimate how many times greater the volume of a melon is, compared with the volume of an
orange.
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Problem
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19.
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Suppose that tap water, flowing from a faucet at a constant rate, is used to
fill a container. Draw the container represented by the graph. Justify your answer. 
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20.
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Suppose that tap water, flowing from a faucet at a constant rate, is used to
fill a container. Draw the container represented by the graph. Justify your answer. 
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21.
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The floor plan for a greenhouse is shown below. The area of the actual floor
is 300 m 2.
a) Determine the actual area that each square on the floor plan
represents. b) Determine the actual distance that 5 mm on the floor plan
represents. c) Determine the scale of the plan. d) Determine the scale factor
that was used to draw the floor plan.
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