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SUMMATIVE QUIZ IN SETS: Math Mjr 215

Total questions: 35

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

Who is the father of Set Theory?

(a)  

2.

Which of the following is an example of a set?

a)

Computer set

b)

Set of kitchen wares

c)

Set of even numbers

d)

All of the above

e)

None of the above

3.

In describing sets, which of the following is a roster form or roster notation?

a)

A = {1, 2, 3, 4, 5, 6}

b)

Set A consists of numbers from 1 to 6

c)

A = {x|x is a number from 1 to 7}

d)

None of the above

4.

In describing sets, which of the following is a set builder notation?

a)

Set A consists of vowel letters.

b)

A = {a, e, i, o, u}

c)

A = {x|x is a vowel letter}

d)

None of the above

5.

If the cardinality of sets means the number of elements in a set, which of the following sets has the cardinality of 6?

a)

R = {Porche, Lamborghini, BMW, Ferrari, Ford, Audi}

b)

S = {volleyball, basketball, tennis, badminton, bowling}

c)

T = {pencil, paper, notebook, eraser}

d)

V = {Acer, Asus, HP, Dell, Samsung, Huawei, Lenovo}

6.

Set U is a universal set with numbers from 1 to 20.

Which of the following subset is a "null set"?

a)

Set A is a set of even numbers.

b)

Set B is a set of numbers divisible by 10.

c)

Set C is a set of numbers between 11 and 12

d)

Set D is a set of numbers with two digits

7.

How do we write the listed set X = {2, 4, 6, 8, 10} into a set builder notation?

a)

X = {x|x is a number from 2 to 10}

b)

X = {x|x is a number divisible by 2}

c)

X = {x|x is an even number}

d)

X = {x|x is an even number from 1 to 10}

8.

Set M = {t, r, a, i, n}, 

and Set N = {n, a, t, i, o, n}. 


 What is MN?What\ is\ M\cup N?  

a)

 MN = {t, r, a, i, n, o}M\cup N\ =\ \left\{t,\ r,\ a,\ i,\ n,\ o\right\}  

b)

 MN = {t, a, i, n}M\cup N\ =\ \left\{t,\ a,\ i,\ n\right\}  

c)

 MN = {}M\cup N\ =\ \left\{\right\}  

d)

 MN = {r, o}M\cup N\ =\ \left\{r,\ o\right\}  

9.

Set H = {2, 4, 6, 8, 10, 11, 13, 15, 17, 19}
Set J = {2, 3, 7, 10, 13, 14, 18, 19, 21}


 What is  H  J ?What\ is\ \ H\ \cap\ J\ ?  

a)

 H  J = {2, 3, 4, 6, 7, 8, 10, 11, 13, 14, 15, 17, 18, 19, 21}H\ \cap\ J\ =\ \left\{2,\ 3,\ 4,\ 6,\ 7,\ 8,\ 10,\ 11,\ 13,\ 14,\ 15,\ 17,\ 18,\ 19,\ 21\right\}  

b)

 H  J = {2, 10, 13,19}H\ \cap\ J\ =\ \left\{2,\ 10,\ 13,19\right\}  

c)

 H  J = {}H\ \cap\ J\ =\ \left\{\right\}  

d)

 H  J = {1, 5, 9, 12, 16, 20}H\ \cap\ J\ =\ \left\{1,\ 5,\ 9,\ 12,\ 16,\ 20\right\}  

10.

Which of the following figures or Venn diagrams represent a union of sets?

a)
b)
c)
d)
11.

Y = {a, b, c, d, e}
Z = {e, d, c, b, a}

 Z is a subset of Y.Z\ is\ a\ subset\ of\ Y.  

(yes or no)

a)

Yes, because the elements of set Z are also found in set Y.

b)

No, because a subset should not have the same elements.

12.

List all the elements in A= {letters in the word "BOOK"}.

a)

A= {B,O,K}

b)

A= {B,O,O,K}

c)

A= {B,K}

d)
13.

Which symbol completes the statement correctly? {6}____{1,3,6}

a)

ϵ\epsilon

b)

\subset

c)

==

d)

⊄\not\subset

14.

Which of these sets is equivalent but not equal to {Ram, Jay, Mick}

a)

{Mick, Jay, Olga}

b)

{Jay, Mick, Ram}

c)

{Mick, Jay, Ram}

d)

{Andy, Ram, Ed, Jay}

15.

Describe this set in words: {2,3,5,7,11,13,17,19}

a)

Set of prime numbers from 2 to 19

b)

Set of prime numbers less than 19

c)

Set of odd numbers less than 20

d)

Set of whole numbers less than 20

16.

Write {even whole numbers between 3 to 15} using the roster method.

a)

{3,5,7,9,11,13,15}

b)

{5,7,9,11,13}

c)

{4,6,8,10,12,14}

d)

{2,4,6,8,10,12,14,16}

17.

What is the punctuation mark used to enclose elements of sets?

a)

Bracket

b)

Braces

c)

Parenthesis

d)

Quotationn

18.

How many students taking up Mathematics or Science?

a)

15

b)

20

c)

25

d)

30

19.

How many students taking up Science but not Mathematics?

a)

5

b)

10

c)

15

d)

20

20.

How many students like basketball but not Volleyball and softball?

a)

6

b)

62

c)

42

d)

44

21.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

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

22.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

23.

Which of the following means proper subset?

a)

 \subset  

b)

 \subseteq  

c)

 \in  

d)

=

24.

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U?

a)

B = {2, 4}

b)

C = {1, 9, 5, 13}

c)

F = {2, 3, 4, 5}

d)

D = {5, 11, 1, 2}

25.

Let A = {2, 3, 4, 5, 6, 7}

B = {2, 4, 7, 8)

C = {2, 4}.

Which of the following mathematical statements is true?

a)

B ⊂ C

b)

A ⊂ C

c)

C ⊂ A

d)

A ⊂ B

26.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
27.
If
P = {0, 1, 2, 3, 4}, 
Q = {4, 6, 8}
R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

a)
{4}
b)
{4, 6}
c)
{4, 6, 8}
d)
{1, 2, 3, 4, 6, 8}
28.

Find |A| for the set:

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

a)

6

b)

12

c)

4

d)

8

29.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

B __ A

a)

b)

30.

Check ALL the subsets of set F.


F = {10, 25}

a)

{ }

b)

{8}

c)

{25}

d)

{10, 25}

e)

{10}

31.

Which is true about the given Venn Diagram?

a)

All sweets are chocolates

b)

All chocolates are sweet

32.

Which of these is an empty set?

a)

The set of green apples.

b)

The set of two-legged elephants

c)

The set of white shirts

d)

The set of green bananas

33.

If two sets have exactly the same elements, then they are (a)   .

34.

What way of expressing sets lists down all the elements contained in the set?

a)

set-builder

b)

roster

c)

graphical

d)

semantic

35.

An instructive way of describing the relationships between sets and elements and are made up of circles which represent the sets.

a)

Venn Diaphragm

b)

Venn Diagram

c)

Venn Euler

d)

Venn Operations