Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the square root of 250 000.
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2.
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Determine the perfect cube whole number closest to 19 479.
a. | 19 600 | b. | 19 683 | c. | 19 476 | d. | 17
576 |
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3.
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Determine the side length of this square.  a. | 63 cm | b. | 15.83 cm | c. | 992.25 cm | d. | 441
cm |
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4.
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Determine the edge length of this cube.  a. | 301.87 cm | b. | 45 cm | c. | 6.71 cm | d. | 3375
cm |
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5.
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A rectangular prism with a square base has height 12 ft. The volume of the prism
is 3468 cubic feet. Determine the side length of the base of the prism to the nearest foot.
a. | 289 ft. | b. | 72 ft. | c. | 24 ft. | d. | 17
ft. |
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6.
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Simplify  . a. |  | c. | 16 | b. |  | d. | 144 |
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7.
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Express [(–8)8]5 as a power with a single
exponent.
a. | (–8)40 | c. | (–8)3 | b. | (–8)13 | d. | (–64)5 |
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8.
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What is the next number in the sequence 33, 32,
31, 30, …?
a. | –1 | c. |  | b. | 3–2 | d. | 1 |
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9.
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Which value of x satisfies the equation x–2 =
 ?
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10.
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Eric deposits $0.01 into a bank account that doubles the amount of money in the
account every year. After 1 year the value of the account is $0.02, and after 2 years it is $0.04.
What will the value of the account be after 12 years?
a. | $0.24 | c. | $81.92 | b. | $40.96 | d. | $167 772.16 |
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Short Answer
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11.
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Determine the cube root of 551 368.
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12.
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Determine the perfect square whole number closest to 54 362.
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13.
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Simplify  .
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14.
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Simplify each expression. Write the answer using positive exponents. Do not
evaluate. a)  b)
(3 3)(3 –6)
c) 
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Problem
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15.
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A cube has surface area 2646 m2. What is its volume?
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16.
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A square has area 40.0 cm2. Determine the perimeter of the square to
the nearest tenth of a centimetre.
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17.
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Develop three questions that have a solution of p6. For each
question, choose a different exponent law and apply it.
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18.
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In dice-rolling game, there are 8 contestants. If the number rolled is odd, the
contestant must leave the game. The last one remaining wins the prize. How many rolls are expected
before a winner is declared?
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