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Math 10 Foundations LG 1 Practice Quiz #5



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Determine the square root of 250 000.
a.
100
b.
63
c.
500
d.
200
 

 2. 

Determine the side length of this square.
mc002-1.jpg
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 mis to be painted. Each can of paint covers 32 m2. How many cans of paint are needed to paint the cube?
a.
16
b.
23
c.
13
d.
15
 

 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 mc006-1.jpg?
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 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.
mc008-1.jpg
c.
0
b.
mc008-2.jpg
d.
16
 

 9. 

Which value of x satisfies the equation x–2 = mc009-1.jpg?
a.
18
c.
4.5
b.
9
d.
3
 

 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) sa013-1.jpg
b) (33)(3–6)
c) sa013-2.jpg
 

 14. 

Simplify, then evaluate. Express the answer to four decimal places, where necessary.
a) sa014-1.jpg
b) sa014-2.jpg
 

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?
 



 
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