Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which of these numbers is irrational?  ,  ,  ,
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2.
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Determine which of these numbers is the least.  ,  ,  ,
 , 
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3.
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Write  as an entire radical.
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4.
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Evaluate  without using a calculator. a. | –3 | b. | 3 | c. |  | d. | does not
exist |
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5.
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Write  as a radical.
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6.
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Write  as a power.
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7.
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A cube has volume 1200 cubic inches. Write the edge length of the cube as a
power.
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8.
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Evaluate  a. | 18 | c. | 1.741 101... | b. | 32 | d. | 40 |
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9.
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Evaluate 
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10.
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Arrange these numbers in order from greatest to least.  ,  ,
 ,  ,  a. |  , ,  ,  ,  | c. |  ,  ,  , ,  | b. |  ,  ,  ,  ,  | d. |  ,
 ,  , ,  |
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11.
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Evaluate 
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12.
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Evaluate  without using a calculator.
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13.
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Evaluate  without using a calculator.
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14.
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Evaluate  without using a calculator.
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15.
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Evaluate  without using a calculator.
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16.
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How many times as great as  is  ?
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17.
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Simplify  .
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18.
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Simplify  .
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19.
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Simplify 
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20.
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Short Answer
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21.
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Between which 2 consecutive integers on a number line would you locate  ?
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22.
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Evaluate  without using a calculator.
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23.
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Evaluate  without using a calculator.
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24.
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Evaluate 
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25.
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A sphere has volume 2245 cm  . What is the surface area of the sphere
to the nearest tenth of a square centimetre?
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Problem
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26.
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This diagram shows a cube with volume V cubic units and edge length s
units.  Provide a value of V for which s is
rational.
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27.
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In isosceles DABC, what is the length of BC? Write
your answer as a mixed radical. 
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28.
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The height, h metres, of a Douglas fir tree can be estimated from the
formula  , where d metres is the diameter at the base. Use this formula to determine the
approximate height of a Douglas fir tree with base diameter 4.1 m. Write the answer to the nearest
metre.
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29.
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30.
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A tree farmer used the formula  to estimate the volume, V cubic
metres, of a tree with height h metres and mean trunk diameter d metres. The height of
a tree is 20 times its mean trunk diameter, and its volume is 230 m  . What is the mean trunk
diameter of this tree to the nearest metre?
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