Free Printable Unit 1B

Worksheets

Unit 1B - Test Review

Total questions: 46

Worksheet time: 12hrs 30mins

Name

Class

Date

Underline the hypothesis and italicize the conclusion in each statement.

If your dog eats Purina, then he’ll stay happy and healthy.

If your dog eats Purina, then he’ll stay happy and healthy.

If your dog eats Purina, then he’ll stay happy and healthy.

If your dog eats Purina, then he’ll stay happy and healthy.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

If a polygon is not a quadrilateral, then it is not a trapezoid.

If a polygon is not a trapezoid, then it is not a quadrilateral.

If a polygon is a trapezoid, then it is a quadrilateral.

A rectangle is also a quadrilateral.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

If the polygon is not a quadrilateral, then it is not a trapezoid.

If the polygon is not a trapezoid, then it is not a quadrilateral.

If the polygon is a trapezoid, then it is a quadrilateral.

A rectangle is also a quadrilateral.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

If a polygon is a trapezoid, then it is a quadrilateral.

If a polygon is not a quadrilateral, then it is not a trapezoid.

If a polygon is not a trapezoid, then it is not a quadrilateral.

A rectangle is also a quadrilateral.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

Conditional

Conjecture

Biconditional

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

Inductive

Deductive

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

18,23

18, 24

17, 25

17, 24

Where would the next red square be?

bottom left

top right

top left

bottom right

10.

Used to prove that a conjecture is false.

Counterexample

Inductive Reasoning

Concluding statement

Conjecture

11.

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

goldfish

frog

elephant

cat

12.

The product of two negative numbers is greater than the sum of the two numbers. What is an appropriate counterexample?

-3 and -3

True. There is no counterexample

-1 and -1

4 and 6

13.

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

2/3

4/5

1/2

3/2

14.

If it is an angle, then it is acute. What is an appropriate counterexample?

70⁰

45⁰

120⁰

True. There is no counterexample.

15.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

-2

True. There is no counterexample.

16.

True or False: a counterexample is an example that makes a definition or conjecture incorrect

True

False

17.

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars

Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend

Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life

Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends

18.

What is the hypothesis of the given Conditional Statement?

Jimmy will go to Orlando

Jimmy goes on vacation

Jimmy will not go to Orlando

Who is Jimmy?

19.

What is the conclusion to the statement?

You like fried chicken

You only like fried chicken from KFC

You like KFC

You hate KFC

20.

What is the converse to this statement?

If it isn't dark outside, then it is not night.

If it is night, then it is dark outside

If it is not night, then it is not dark outside.

It is night.

21.

What is the hypothesis of this conditional?

Sally goes to the park.

Sally will fall off the swing.

Parks don't have swings that Sally goes to.

If Sally falls off the swing, she goes to the park.

22.

What is the conclusion to this?

Clarkson will be the coolest

Clarkson will not be the coolest

Clarkson gives us Mountain Dew

Clarkson will not give us Mountain Dew

23.

What is the next number in this pattern?

24.

Find the next item in the pattern:
-3, 6, -12, 24, ...

-36

-48

25.

When taking the converse we ___________ the hypothesis and conculsion

negate

switch

highlight

switch and negate

26.

For the inverse we _________ the hypothesis and conclusion

switch

negate

switch and negate

27.

For the contrapositive we _________ the hypothesis and conclusion

switch

negate

switch and negate

28.

This symbol, ∧, means?

and

not

implies

29.

This symbol, ∨, means?

and

not

implies

30.

What type of logic is this table showing:

AND

NOR

XOR

31.

Use the logic condition to find the value of X:

A and not B

True

False

32.

Use the logic condition to find the value of X:

Not A or B

True

False

33.

What is the truth value for #1?

True

False

34.

What is the truth value for # 2?

True

False

35.

What is the truth value for # 3?

True

False

36.

What is the truth value for # 4?

True

False

37.

What is the truth value for # 5?

True

False

38.

What is the truth value for # 6?

True

False

39.

Identify the shaded area...

$A\wedge B$

$A\vee B$

40.

Identify the shaded area...

$A\wedge B$

$A\vee B$

41.

Identify the shaded area...

$\sim A\wedge B$

$A\wedge\sim B$

$A\vee\sim B$

$\sim A\vee B$

42.