Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A cube has volume 15 625 cm3. What is the surface area of the
cube?
a. | 132 893.3 cm2 | b. | 3750 cm2 | c. | 25
cm2 | d. | 10 416.7 cm2 |
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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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How many perfect cube whole numbers are between 6000 and 8500?
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5.
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An aquarium approximates a cube with surface area 1014 square feet. Water was
poured into the empty aquarium at a rate of 6 cubic feet per minute. To the nearest minute, how long
did it take to fill the aquarium?
a. | 2 h 48 min | b. | 6 h 6 min | c. | 6 h 5 min | d. | 2 h 49
min |
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6.
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What is  ?
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7.
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Calculate  .
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8.
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Which point is not located above the x-axis on a coordinate grid?
a. | (0, 20) | c. | (3,
23) | b. | (–3, 2–3) | d. | [1,
(–2)3] |
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9.
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Determine the value of (–1)0 – 70.
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10.
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Initially, 3 people have a bacterial infection. The next day, every infected
person infects one more person. If this pattern continues, how many days will it take for 24 people
to be infected?
a. | 3 days | c. | 2 days | b. | 8 days | d. | 4 days |
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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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A cube has volume 9261 cubic inches. Determine the area of one face of the
cube.
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13.
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Express 333 as a sum of powers of 3.
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14.
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Simplify  .
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Problem
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15.
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Use factoring to determine whether 4913 is a perfect square, a perfect cube, or
neither.
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16.
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Germaine wants to paint a cube with volume 2744 m3. Each tub of paint
covers 79 m2. How many tubs of paint does Germaine need to paint the cube?
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17.
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The first three terms of a pattern are 0, 2, and 15. These terms were determined
using the following expressions:
11 – 00(1) = 0
22
– 11(2) = 2
33 – 22(3) = 15
a) Continue
the pattern and determine the next three terms.
b) Write an expression for the nth
term in the pattern.
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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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