Name: 
 

Math 10 Foundations Unit 1 Practice Test #4


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

 1. 
What is the area of a square with sides of length 9.4 cm?
a.
9.4 cm2
c.
37.6 cm2
b.
18.8 cm2
d.
88.36 cm2
 

 2. 
What is the volume of a cube with edges of length 3 m?
a.
81 m3
c.
9 m3
b.
54 m3
d.
27 m3
 

 3. 
Which description about the number 3375 is correct?
a.
a perfect cube
b.
a perfect square
c.
both a perfect cube and a perfect square
d.
neither a perfect cube nor a perfect square
 

 4. 
Simplify mc004-1.jpg.
a.
mc004-2.jpg
c.
16
b.
mc004-3.jpg
d.
144
 

 5. 
One side of a square is 14c in length. What is the area of the square?
a.
c2
c.
196c2
b.
14c2
d.
56c2
 

 6. 
What is the next number in the sequence 63, 62, 61, 60, …?
a.
–1
c.
mc006-1.jpg
b.
6–2
d.
1
 

 7. 
Which expression represents a negative number?
a.
2–3
c.
–30
b.
(–3)2
d.
(–3)–1
 

 8. 
Which statement is correct about the expression mc008-1.jpg when it is evaluated?
a.
The sign is positive.
c.
The expression is equal to 0.
b.
The sign is negative.
d.
The expression is undefined.
 

 9. 
What is mc009-1.jpg?
a.
mc009-2.jpg
c.
10
b.
11
d.
9
 

 10. 
Which expression cannot be evaluated?
a.
mc010-1.jpg
c.
mc010-3.jpg
b.
mc010-2.jpg
d.
mc010-4.jpg
 

 11. 
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
 

 12. 
Household smoke detectors contain 200 mg of a radioactive element that has a half-life of 432 years. To the nearest 10 mg, how much of this element will remain in a smoke detector after 20 years?
a.
100 mg
c.
190 mg
b.
180 mg
d.
200 mg
 

 13. 
Determine the value of y in the equation y = mc013-1.jpg when x = 7. Leave your answer in simplest radical form if necessary.
a.
–mc013-2.jpg
c.
mc013-3.jpg
b.
9
d.
mc013-4.jpg
 

 14. 
What is the value of x in the equation mc014-1.jpg?
a.
2
c.
mc014-2.jpg
b.
1
d.
mc014-3.jpg
 

 15. 
Which of the following is equivalent to mc015-1.jpg?
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
d.
mc015-5.jpg
 

 16. 
What is mc016-1.jpg as an equivalent radical?
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 

 17. 
Order these irrational numbers from least to greatest: mc017-1.jpg, mc017-2.jpg, mc017-3.jpg, mc017-4.jpg.
a.
mc017-5.jpg, mc017-6.jpg, mc017-7.jpg, mc017-8.jpg
c.
mc017-13.jpg, mc017-14.jpg, mc017-15.jpg, mc017-16.jpg
b.
mc017-9.jpg, mc017-10.jpg, mc017-11.jpg, mc017-12.jpg
d.
mc017-17.jpg, mc017-18.jpg, mc017-19.jpg, mc017-20.jpg
 

 18. 
Write mc018-1.jpgas a power with a single positive exponent.
a.
mc018-2.jpg
c.
mc018-4.jpg
b.
mc018-3.jpg
d.
mc018-5.jpg
 

 19. 
Express mc019-1.jpg as an equivalent radical.
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 

 20. 
Which expression has the smallest value?
a.
mc020-1.jpg
c.
mc020-3.jpg
b.
mc020-2.jpg
d.
mc020-4.jpg
 

Short Answer
 

 1. 
Determine the volume of a cube with each edge length.
a) 17 yd
b) 11 ft
 

 2. 
Simplify, then evaluate. Express the answer to four decimal places, where necessary.
a) sa002-1.jpg
b) sa002-2.jpg
 

 3. 
Evaluate using a calculator. Express the answer to four decimal places, where necessary.
a) (62)(62.3)
b) sa003-1.jpg
c) sa003-2.jpg
 

 4. 
Express each entire radical as a mixed radical in simplest form.
a) sa004-1.jpg
b) sa004-2.jpg
c) sa004-3.jpg
 

 5. 
What is sa005-1.jpg expressed as a radical with positive exponents?
 

Problem
 

 1. 
What is the area of the rectangle shown, if x = 4? Express the answer as a mixed radical and then to two decimal places.

pr001-1.jpg
 

 2. 
The swing of a pendulum is affected by acceleration due to gravity. The equation
T = pr002-1.jpg represents the relationship between the time it takes a pendulum that is 1.0 m long to swing back and forth once and gravitational acceleration. In this formula, T is time, in seconds, and g is the gravitational acceleration, in metres per second per second, or metres per second squared.
a) The gravitational acceleration at Earth’s surface is about 9.8 m/s2. How long would it take the pendulum to swing back and forth once at Earth’s surface? Express the answer to the nearest tenth of a second.
b) The gravitational acceleration on the moon is about pr002-2.jpg of the gravitational acceleration at Earth’s surface. Determine how long it would take the pendulum to swing back and forth if it were on the moon. Express the answer to the nearest tenth of a second.
 

 3. 
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?
 

 4. 
The amount of time that a particular drug remains in the human bloodstream is given by the equation pr004-1.jpg, where
• M is the mass of drug remaining in the bloodstream, in milligrams,
• M0 is the mass of the dose administered, in milligrams, and
• h is the time, in hours, since the dose was given.
If 240 mg is administered, how much of the drug will remain in the bloodstream after 3 h? Express the answer to one decimal place.
 

 5. 
The height and the base of a triangle each measure pr005-1.jpg units. What is the area of the triangle?
 



 
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