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Math 12F LG 7-8 Practice Quiz #1


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

 1. 
What is the meaning of disjoint in set theory?
A.
two or more sets having no elements in common
B.
two or more sets that do not match
C.
sets that are in different universal sets
D.
sets that contain no elements
 

 2. 
Which statement is true?
A.
The English language and the French language are disjoint sets.
B.
Hockey equipment and lacrosse equipment are disjoint sets.
C.
Band instruments and orchestral instruments are disjoint sets.
D.
Linear equations and quadratic equations are disjoint sets.
 

 3. 
Rahim described the set as follows:
• M = {all of the foods he eats}
• D = {his favourite desserts}
• V = {his favourite vegetables}
• F = {his favourite fruits}

Which are the disjoint sets?
A.
M and D
B.
M and V
C.
M and F
D.
V and F
 

 4. 
Rahim described the set as follows:
• M = {all of the foods he eats}
• D = {his favourite desserts}
• V = {his favourite vegetables}
• F = {his favourite fruits}

Assume Rahim likes some fruit for dessert. Which statement is true?
A.
The universal set is D, Rahim’s favourite desserts.
B.
Set F is a subset of D.
C.
Set D is a subset of V.
D.
Set M and set V are mutually exclusive.
 

 5. 
Consider the following two sets:
• C = {–10, –8, –6, –4, –2, 0, 2, 4, 6, 8, 10}
• B = {–9, –6, –3, 0, 3, 6, 9, 12}
Determine C È B.
A.
{–10, –9, –8, –7, –6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
B.
{–10, –9, –8, –6, –4, –3, –2, 0, 2, 3, 4, 6, 7, 9, 10}
C.
{–10, –9, –8, –6, –4, –3, –2, 0, 2, 3, 4, 6, 7, 9, 10, 12}
D.
{–10, –9, –7, –6, –4, –3, –2, 0, 2, 3, 4, 6, 7, 9, 10, 12}
 

 6. 
Some table games use a board, dice, or cards, or a combination these. The following Venn diagram shows the number of games that use these tools.
mc006-1.jpg

Use the diagram to determine n(C) – n(C Ç B).
A.
39
B.
51
C.
25
D.
28
 

 7. 
Some table games use a board, dice, or cards, or a combination these. The following Venn diagram shows the number of games that use these tools.
mc007-1.jpg

Use the diagram to determine the number of games that use exactly two of these tools.
A.
13
B.
51
C.
25
D.
74
 

 8. 
Which statement is the inverse of the conditional statement below?
“If tomorrow is Monday, then today is Sunday.”
 
A.
If tomorrow is Sunday, then today is not Monday.
B.
If today is Sunday, then tomorrow is Monday.
C.
If tomorrow is not Monday, then today is not Sunday.
D.
If today is not Sunday, then tomorrow is not Monday.
 

 9. 
Which statement is the contrapositive of the conditional statement below?
“If a balloon is filled with helium, then the balloon will float upwards.”
A.
If a balloon floats upwards, then the balloon is filled with helium.
B.
If a balloon is not filled with helium, then the balloon will not float upwards.
C.
If a balloon is not filled with helium, then the balloon will float downwards.
D.
If a balloon does not float upwards, then the balloon is not filled with helium.
 

 10. 
What is true about the conditional statement below?
“If a balloon is filled with helium, then the balloon will float upwards.”
A.
The statement, converse, inverse and contrapositive are all true.
B.
The statement and inverse are true but the converse and contrapositive are false.
C.
The statement and contrapositive are true but the inverse and converse are false.
D.
The inverse and contrapositive are true but the statement and converse are false.
 

Short Answer
 

 1. 
Tania recorded the 16 possible sums that can occur when you roll two four-sided dice.
• S = {all possible sums}
• L = {all sums less than 4}
• G = {all sums greater than 4}
• F = {all sums equal to 4}
Describes the relationship between the sets L and G.
 

 2. 
Consider the following information.
• the universal set U = {all grade 12 courses}
• S = {all social studies courses}
• H = {all history courses}
• G = {all geography courses}
• M = {all mathematics courses}
What is the complement to set S?
 

 3. 
Write the converse of the conditional statement below.
“If you work in a hospital, then you are a doctor.”
 

Problem
 

 1. 
Liam asked 90 people if they preferred tea or coffee.
• 8 people liked both.
• 55 people liked coffee.
• 32 people liked tea.
Determine how many people did not like coffee or tea. Draw a Venn diagram to show your solution.
 

 2. 
If the converse of a conditional statement is true, what do you know about the inverse? Explain.
 



 
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