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WorksheetsAdvM Benchmark 1 Review
Total questions: 60
Worksheet time: 1hrs 26mins
Which of the following is the INVERSE of the statement below?
If an animal is black and white,
then it is a penguin.
If an animal is not black and white, then it is not a penguin
If an animal is a penguin, then it is black and white.
If an animal is not a penguin, then it is not black and white.
There is no inverse of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species walks on two feet, then
it is human.
If a species is not human, then it does not walk on two feet.
If a species is human, then it walks on two feet.
If a species does not walk on two feet, then it is not human.
There is no contrapositive of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a gem is a ruby, then it is red.
If a gem is not red, then it is not a ruby.
If a gem is not a ruby, then it is not red.
If a gem is red, then it is a ruby.
There is no contrapositive statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species is a fish, then it lives in
water.
If a species does not live in water, then it is not a fish.
If a species is not a fish, then it does not live in water.
If a species lives in water, then it is a fish.
There is not contrapositive of the statement.
Which of the following is the BICONDITIONAL of the statement below?
If there is lightning, then there is thunder.
If there is not lightning, then there is not thunder.
If there is thunder, then there is lightning.
There is lightning if and only if (iff) there is thunder.
There is no biconditional statement.
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle does not have a measure less than 90°, then it is not acute.
Contrapositive
Converse
Biconditional
Inverse
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle has a measure less than 90°, then it is acute.
Converse
Contrapositive
Biconditional
Inverse
This symbol, /\, means?
AND
NOT
OR
IF/ THEN
This symbol, V, means?
AND
NOT
OR
IF AND ONLY IF
What type of logic is this table showing:
AND
OR
IF/ THEN
Which of the following set of values would correctly complete this table?
T F F F
T T F F
T T T F
F T F T
Which of the following combinations of truth values would be correct for this truth table?
T F T F
T T T F
F T F T
T F F T
Which of the following sets of truth values would correctly complete this truth table?
F F F T
F T T F
T F T T
F T F T
Which set of truth values would correctly complete this table?
T F T F
F T T T
F F T T
F F F T
Use the logic condition to find the value of Y:
A or B or C
True
False
Use the logic condition to find the value of X:
A or (B and C)
True
False
Use the logic condition to find the value of W:
not A or B or C
True
False
Which symbol represents negation?
=
∞
∼
∧
Match the following symbols to their meaning.
negation
if, then
You should never gamble. Once you start gambling you find it hard to stop. Soon you are spending all your money on gambling, and eventually you will turn to crime to support your earnings.
Non Sequitur
Slippery Slope
Red herring
Faulty analogy
A personal attack meant to discredit one’s opponent
Ad Hominem
Appeal to Nature
Bandwagon
Circular Reasoning
Guilt by Association
A very broad claim based on very little evidence
False Causation
False Dichotomy
Hasty Generalization
Straw Man
You never even finished law school, so why should I trust you to watch my children?
Ad Hominem
Appeal to Nature
Bandwagon
Circular Reasoning
Guilt by Association
No one in your family surfs? But I thought you said you lived in California before this.
False Causation
False Dichotomy
Hasty Generalization
Straw Man
Attacks the arguer instead of the argument
Slippery slope
False dilemma
Ad hominem/personal attack/attack the man
straw man
Assumes that a proposed step will set off a chain of uncontrollable events.
slippery slope
begging the question/circular reasoning
either or fallacy otherwise called false dilemma
red herring
Teenagers are bad drivers.
Hasty generalization
Bandwagon
Ad Hominem
Stacking the deck/Bias
Assumes that a proposed step will set off a chain of uncontrollable events.
slippery slope
begging the question/circular reasoning
either or fallacy otherwise called false dilemma
red herring
There's no way you know this - you're clearly too young to understand!
Bandwagoning
Circular Argument
False Dilemma
Ad Hominem
Yesterday you were 5 minutes late, today 10, and tomorrow you won't even show up!
Ad Hominem
Slippery Slope
Circular Argument
Strawman
Which is it?
Ad Hominem
Slippery Slope
Appeal to Tradition
Either/Or
Stating that something should be done a certain way simply because it has been done that way in the past.
Appeal to Tradition
Ad Hominem
Bandwagon
False Analogy
Stating that only two alternatives exist when there are actually more than two.
False Dilemma
Hasty Generalization
Oversimplification
Slippery Slope
Assumption that if one thing is allowed, then it will be the first step in a downward spiral.
Slippery Slope
Oversimplification
Hasty Generalization
False Dilemma
Which graph could be used to indicate a greater increase in the number of books checked out? Why?
Bar graph, because it looks like a 100% increase, while the picture graph looks like a smaller increase
Picture graph, because the bars in the bar graph are appropriate, while the picture graph shows difference in the size of the books
Both the graphs show greater increase
They should use a more relevant graph to answer the question
Which graph can Paul use to show his aunt that he spends more time on homework than play? Explain.
The bar graph, because the bar corresponding to homework is double the size for play
The circle graph, because each sector in the circle graph is drawn appropriately
Both of the graphs show 100% more time no homework than play
We cannot make a determination
Ken feels that the bar graph is more appropriate than the picture graph to show the increase in his salary from the 2000 to 2001. Choose a valid reason as to why he is right.
The salary in the year 2001 is double that of 2000, which matches the size of the bars in the bar graph.
Ken is wrong, the picture graph is more appropriate.
The bars in the graph does not make the difference in the annual income look as large as the picture graph
The salary in the year 2000 is double that of 2001, which matches the size of the bars in the bar graph
The graphs show the number of motorbikes sold each year by a particular automobile dealer. Which one of these graphs is misleading and why?
Graph 1 is misleading, because it appears to show a more rapid decrease in sales than graph2 since they did not start the vertical axis (y-axis) at 0
Graph 2 is misleading, because the vertical scale use there contains multiples of 40.
Both graphs are correct and not misleading
We cannot make a determination from these graphs
The two graphs show the annual snowfall in a city in the years 2001 and 2002. Which graph gives the impression that the snowfall in the year 2002 is more than twice as much as 2001? Explain why it is misleading .
Graph 2 is misleading, because the differences between 2001 and 2002 are exaggerated
Graph 1 is misleading, because the vertical scale (y-axis) is truncated
Graph 2 is misleading, because the two bars are not the same size
Both graphs are correct and aren't misleading
The graph represents the scores of four students in an examination. Tell whether the graph is misleading or not and why.
No, it represents the data clearly
Yes, because the vertical (y-axis) increases by 5% instead of by 1%
Yes, because the vertical (y-axis) does not start at 0
Do the two graphs plot the same data?
Yes
No
Why is the graph misleading?
Vertical axis (y-axis) does not start at 0
Uneven values on the vertical axis (y-axis)
Unequal spacing of lines
Horizontal axis (x-axis) does not start at 0
The graph shows the rainfall in October and November at some location. Is the graph misleading?
Yes, because the vertical (y-axis) doesn't start at 0
Yes, because it makes it look like November's rainfall is twice as much as October, but it isn't
Yes, because none of the other months are shown
No, it's not misleading since the vertical (y-axis) zero-break
A student wants to know which type of pizza the students at his high school prefer. Which option would give a unbiased, representative sample:
Average
Asking all the students in the hot lunch line.
Asking 10 random students from each homeroom.
Asking every other student who gets off a school bus.
Asking all the 10th graders.
The choir director in a high school wants to know how the students in the school feel about singing. If the director selects 100 girls and 100 boys to complete a survey, which method will result in a biased sample?
The students will be selected randomly throughout the school
The choir director will randomly select five students from each of the forty homerooms in the school
Every 4th student entering the school that day was selected to survey.
The students will be selected from the choir
A points system is used to determine the winner of this voting method. Voters must also rank the candidates from favorite to least favorite.
Plurality
Plurality with Elimination
Borda Count
Pairwise Comparison
Determine the BORDA COUNT winner
A
B
C
D
No Borda Count Winner
*Hint: Borda Method: Award points to candidates based on preference schedule, then declare the winner to be the candidate with the most points.
What is gerrymandering?
a federally governed process designed to ensure equal representation.
a system of checks and balances used to ensure fairness in the House of Representatives.
a legal process that helps parties keep power.
the use of redistricting to unfairly disenfranchise specific groups of people.
Gerrymandering is:
When district boundaries are drawn in order to benefit the party in power and help it stay in power
When seats in the House of Representatives are redistributed among states because of changes in population
When district boundaries are redrawn to reflect changes in population.
A measurement of the US population that occurs every ten years
What is the goal of gerrymandering?
Which of the following best describes gerrymandering?
Reducing the voting age
Increasing voter turnout
Manipulating electoral boundaries
Ensuring equal representation
Using only the information that can be ascertained from maps above, how have legislative districts changed from the map on the left to the map on the right
There is more evidence of gerrymandering in the map on the right
The districts are equal in geographic size.
There is less evidence of gerrymandering in the map on the right
The legislative districts have stayed the same over the past 20 years
