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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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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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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A cube has surface area 3750 square feet. What is its volume?
a. | 5625 cubic feet | c. | 1448 cubic feet | b. | 25 cubic feet | d. | 15 625 cubic
feet |
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5.
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How many perfect cube whole numbers are between 6000 and 8500?
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6.
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What is  ?
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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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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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Carbon-14 is a radioactive element with a half-life of 5700 years. If a sample
contains ?? g of carbon-14 today, what mass of carbon-14 will it contain in 22 800 years?
a. | 28 g | c. | 3.5 g | b. | 0.875 g | d. | 2–22 800
g |
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10.
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Jean invests $800 in a fund. The investment doubles in value each year. The
formula A = 800(2)n models the total value of the investment, A, in
dollars, after n years. What is the value of her investment after 4 years?
a. | $12 800 | c. | $3200 | b. | $6400 | d. | $800 |
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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 surface area 6900.0 cm2. What is the volume of the cube to
the nearest tenth of a cubic centimetre?
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13.
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Write and evaluate an expression using exponents for the total volume of each
pair of cubes.
a) Cube A has edges 2.1 km long and cube B has edges 9.2 km
long.
b) Cube C has edges 6.1 cm long and cube D has edges 5.3 cm long.
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14.
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Express 333 as a sum of powers of 3.
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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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Calculate the volume of the largest possible sphere that can fit in a cube with
volume 2197.0 cm3. Give the volume to the nearest tenth of a cubic centimetre. Explain
your steps.
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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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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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