Multiple Choice Identify the
choice that best completes the statement or answers the question.
|
|
1.
|
Determine the square root of 250 000.
|
|
2.
|
Determine the side length of this square. 
a. | 63 cm | b. | 15.83 cm | c. | 992.25 cm | d. | 441
cm |
|
|
3.
|
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. |
|
|
4.
|
A cube with volume 729 m3 is to be painted. Each can of paint
covers 32 m2. How many cans of paint are needed to paint the cube?
|
|
5.
|
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 |
|
|
6.
|
What is  ?
|
|
7.
|
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] |
|
|
8.
|
Evaluate 24 + 2–4.
a. |  | c. | 0 | b. |  | d. | 16 |
|
|
9.
|
Which value of x satisfies the equation x–2 =
 ?
|
|
10.
|
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 |
|
Short Answer
|
|
11.
|
Determine the cube root of 551 368.
|
|
12.
|
Determine the square root of 308 025.
|
|
13.
|
Simplify each expression. Write the answer using positive exponents. Do not
evaluate. a) b)
(3 3)(3 –6) c) 
|
|
14.
|
Simplify, then evaluate. Express the answer to four decimal places, where
necessary. a)  b) 
|
Problem
|
|
15.
|
A cube has surface area 2646 m2. What is its volume?
|
|
16.
|
A square has area 40.0 cm2. Determine the perimeter of the square to
the nearest tenth of a centimetre.
|
|
17.
|
Jason used the number 3 as the base of powers to make the following expression
equal to 0. 33 – (31)(32) = 0 a) Use a
combination of four 3s as bases to make an expression equal to 0. b) Use a combination of
five 3s as bases to make an expression equal to 0. c) Use a combination of six 3s as bases
to make an expression equal to 0.
|
|
18.
|
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?
|