Free Printable Unit P Review

1.

If A={3,4,7,9}, B={1,3,5,8,9,11} and C={2,3,5,6,9,12}. What is A∩C?

a)

{3}

b)

{2,3,4,5,6,7,9,12}

c)

{3,9}

d)

{3,5,9}

2.

If A={3,4,7,9}, B={1,3,5,8,9,11}, and C={2,3,5,6,9,12}

what is B∪C?

a)

{1,3,4,5,7,8,9,11}

b)

{1,2,3,5,6,8,9,11,12}

c)

{3,5,9}

d)

{3}

3.

What is the shaded region?

a)

A

b)

A Ո B¹

c)

B Ո A¹

d)

A ∪ B

4.

What is the notation of the shaded region?

a)

A ∪ B

b)

A¹ ∪ B¹

c)

A Ո B

d)

A¹ Ո B¹

5.

The number of students who like both Coke and Pepsi is:

a)

20

b)

10

c)

5

d)

45

6.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

7.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

8.

The shaded part of this image shows the ______

a)

Intersection of set A and set B

b)

Union of set A and set B

c)

Universal set

d)

Neither set A nor set B

9.

The members of Set A ⋂ B are

a)

{9, 15}

b)

{2, 5, 9, 15, 19}

c)

{8, 9, 10, 13, 15, 17}

d)

{2, 5, 8, 9, 10, 13, 15, 17, 19}

10.

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A U B

a)

{1, 3, 4}

b)

{1, 2, 3, 4, 6,8}

c)

{1, 2, 3, 4, 5, 6, 7, 8}

11.

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A ∩ B

a)

{1, 3, 4}

b)

{1, 2, 3, 4, 6,8}

c)

{4}

12.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

13.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

14.

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?

a)

{1, 2, 3, 4, 5, 6, 7, 9}

b)

{1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

{1, 2, 3, 5, 6, 7, 9}

d)

{ }

15.

The following is a subset of A = { 2, 4, 6, 8, 10 }, except

a)

X= {2 , 4}

b)

Y= {6,8,10}

c)

Z= {2,4,6,8}

d)

W={9}

16.

Which of the following is true ?

a)

16 ∈{ 2,4,6,8 }

b)

{g} ∈{ d,e,f }

c)

{ -16} ∈{ x| x is an integer }

d)

6 ∈{x| x is a prime number}

17.

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

a)

6

b)

4

c)

12

d)

even numbers

18.

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

a)

Invalid

b)

Valid

c)

Sammy is a Great Dane

d)

Sammy is really a cat.

19.

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

a)

You live in Disney Land

b)

You are an old person.

c)

You live in Florida

d)

You live in Orlando

20.

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

a)

Then it's not odd.

b)

Then it's a whole number.

c)

Then its square is divisible by 4

d)

Then it's even.

21.

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam

a)

I study for 1 hour each day.

b)

I do not study for 1 hour each day

c)

If I do well on the exam, I studied for 1 hour each day.

d)

not possible

22.

Determine whether the stated conclusion is valid.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS

a)

Valid

b)

R is the midpoint

c)

Invalid

d)

A point is the midpoint of a segment.

23.

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

a)

You will need to bring your fishing rod.

b)

Invalid

c)

You are a boring person.

d)

You are going to catch a fish.

24.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

a)

If the sun is not shining, we will not go hiking.

b)

If the sun is shining then we will go hiking.

c)

No conclusion can be made.

d)

If we go hiking, then it is a beautiful day.

25.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

26.

This symbol, ∧, means?

a)

and

b)

or

c)

not

d)

if, then

27.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

if, then

28.

What type of logic is this table showing:

a)

AND

b)

OR

c)

IF, THEN

29.

Let p represent: Brent works this summer.

Let q represent: Brent takes a vacation.

What is the symbolic representation of this statement?

Therefore, Brent does not work this summer.

a)

∴~p

b)

∴~q

c)

~p

d)

~q

30.

Which of the following set of values would correctly complete this table?

a)

T F F F

b)

T T F F

c)

T T T F

d)

F T F T

31.

Which of the following combinations of truth values would be correct for this truth table?

a)

T F T F

b)

T T T F

c)

F T F T

d)

T F F T

32.

Which set of truth values would correctly complete this table?

a)

T F T F

b)

F T T T

c)

F F T T

d)

F F F T

33.

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

a)

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

b)

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

c)

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

d)

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

34.

What is the hypothesis of the given Conditional Statement?

a)

Jimmy will go to Orlando

b)

Jimmy goes on vacation

c)

Jimmy will go to Orlando

d)

Who is Jimmy?

35.

Write the negation of the following: x $\ne$ 3

a)

x $\ge$ 3

b)

x < 3

c)

x $\le$ 3

d)

x = 3

36.

Write the negation of the following: Today is Saturday.

a)

Today is not Saturday.

b)

Today is Sunday.

c)

Who cares what day is? I'm sleepy and annoyed. (FYI: even if you feel this way, this may not work for Geometry!!!)

37.

RM=

a)

RM=6

b)

RM=3

c)

RM=12

d)

RM=9

38.

Find AB.

a)

69

b)

20

c)

19

d)

11

39.

Solve for x. Only give the NUMERICAL value.

(a)

40.

Solve for X. Only give the NUMERICAL value.

(a)

41.

Identify a pair of parallel segments.

a)

b)

c)

d)

42.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

43.

Name 4 collinear points

a)

HMNO

b)

IKNO

c)

MJOL

d)

HNKI

44.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

d)

5

45.

Find x.

a)

x = 3

b)

x = 5

c)

x = 10

d)

None of the above

46.

$\overrightarrow{BD}$ bisects $\angle ABC$ , $m\angle ABD=3x+5$ and $m\angle ABC=2x+30$ . Find $m\angle DBC$ .

a)

$15\degree$

b)

$35\degree$

c)

$5\degree$

d)

$20\degree$

47.

Line e is a segment bisector of AB at point M. If AM = 4n-40 & MB = 7(-2n+2), find the value of n.

a)

7

b)

3

c)

5

48.

How many endpoint(s) does a ray have?

a)

1

b)

2

c)

0

d)

infinitely many

49.

How many endpoint(s) does a segment have?

a)

1

b)

2

c)

0

d)

infinitely many

50.

How many endpoint(s) does a line have?

a)

1

b)

2

c)

0

d)

infinitely many

51.

Name this figure.

a)

\overrightarrow{JK}

b)

$\overrightarrow{KJ}$

c)

$\overrightarrow{K}$

d)

$\overline{JK}$

e)

$\overleftarrow{K}\overrightarrow{J}$

52.

$\overrightarrow{OA}$ is the perpendicular bisector of $\overline{TS}$ . Which of the following 2 statements must be true? (select 2)

a)

\overline{TC}\ \cong\ \overline{CS}

b)

$m\ \angle\ ACS\ =\ 90\degree$

c)

$\overline{AC}\ \cong\ \overline{CO}$

d)

$\overline{OA}\ \cong\ \overline{TC}$

Unit P Review

Total questions: 52

Worksheet time: 2hrs 44mins

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