Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The graph shows how a cyclist travels over time.
Over which interval
is the cyclist travelling at 12 km/h?
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2.
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Which situations could be described using the rates $15.56/lb, 80 km/h, and
$1.58/L?
a. | price of nails, average human running speed, price of sunflower
oil | b. | price of coffee, cruising speed of an airplane, price of milk | c. | price of lobster,
highway speed limit, price of apple juice | d. | price of crude oil, average speed of a truck,
price of cola |
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3.
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Lamar jogs, at 11 km/h, burning 276 Cal in 15 min.
Angela jogs at 9 km/h,
burning 320 Cal in 30 min.
Lamar jogs for 1 h. Which equation determines the length of time,
t, in minutes, that Angela needs to jog to burn the same number of calories as Lamar?
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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 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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6.
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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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7.
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Data for circle O is shown on the first line of the table. Circle
O is enlarged so the radius is 30 cm. Which circle is the enlargement of circle
O? Circle Name | Radius (cm) | Scale Factor | Area (cm2) | | O | 24 | 1.00 | 1809.56 | 1
| P | 30 | 1.50 | 2728.43 | 1.675 | Q | 30 | 1.25 | 2728.43 |
1.5675 | R | 30 | 1.50 | 2827.43 | 2.25 | S | 30 | 1.25 | 2827.43 |
1.5625 | | | | | |
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8.
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Data for circle O is shown on the first line of the table. Circle
O is reduced by a scale factor of 0.2. Which circle is the reduction of circle
O? Circle Name | Radius (cm) | Scale Factor | Area (cm2) | | O | 24.0 | 1 | 1809.56 | 1 | P | 3.6 | 0.2 | 82.73 | 0.03 | Q | 2.3 | 0.2 | 62.38 | 0.04 | R | 4.8 | 0.2 | 72.38 | 0.04 | S | 2.3 | 0.2 | 82.73 | 0.03 | | | | | |
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9.
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Which one of the following cylinders is similar
to a cylinder that is 8 cm long and 2.5 cm in diameter? Choose the best answer.
a. | a cylinder 4 cm long and 1.5 cm in diameter | b. | a cylinder 12 cm
long and 3.5 cm in diameter | c. | a cylinder 16 cm long and 5 cm in
diameter | d. | all of the above |
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10.
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A Ferris wheel is 57.85 m tall and has a diameter
of 54.4 m.
What are the dimensions of a scale model built using a scale of
1 : 95?
a. | height 64.22 cm, diameter 60.44 cm | b. | height 57.26 cm, diameter 53.42
cm | c. | height 60.89 cm, diameter 64.22 cm | d. | height 60.89 cm, diameter 57.26
cm |
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11.
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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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12.
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Cylinder A has a radius of 5 mm and a height of 30 mm.
Cylinder B has a
radius of 20 mm and a height of 120 mm.
These two cylinders are similar.
By what factor is the
surface area of cylinder B greater than the surface area of cylinder A?
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13.
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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.
These two rectangles are similar.
By what factor is the
surface area of rectangle B greater than the surface area of rectangle A?
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14.
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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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15.
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A lacrosse ball has a diameter of 6.4 cm.
A basketball has a diameter
of about 23 cm.
By what percent is the surface area of a basketball
greater than the surface
area of a lacrosse ball?
a. | 359% | b. | 1291% | c. | 1661% | d. | 4641% |
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Short Answer
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16.
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Over one day, the outdoor temperature starts at 3 °C,
increases at a
rate of 1 °C/h for 6 h,
remains constant for 3 h,
and then decreases by 1.5 °C/h
for 4 h.
Draw a graph of the temperature over this period.
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17.
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Determine the scale factor that was used to
transform diagram X into diagram Y. Express your scale factor as a fraction and as a percent to one
decimal place.
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18.
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Sooki enlarges this figure by a scale factor of 2. Determine the area of the
enlarged figure, to the nearest square unit. 
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Problem
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19.
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The following table shows the attendance figures for the Calgary Stampede over
several years. During which period did the rate of attendance change the least? Justify your
answer. Year | Attendance | 1990 | 1 208
371 | 1995 | 1 101 551 | 1999 | 1 113 017 | 2004 | 1 221
182 | 2008 | 1 236 351 | 2010 | 1 145 394 | | |
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20.
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Choose a piece of furniture at home and measure its dimensions. Draw a scale
diagram of the object that shows the top, side, and front views.
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21.
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A cook has a set of four mixing bowls with lids.
The bowls stack inside each
other and are similar to each other.
The surface areas of the two largest bowls are 2300
cm2 and 1100 cm2.
The scale factor is the same from each bowl to the next
smaller bowl.
How would you find the scale factor for the capacities of the bowls?
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