Free Printable Sets (Form 4 Mathematics)

1.

Which of the following is the set of all oceans on earth?

a)

G = {Atlantic, Pacific, Arctic, Indian, Antarctic}

b)

E = {Amazon, Nile, Mississippi, Rio Grande, Niagara}

c)

F = {Asia, Africa, North America, South America, Antarctica, Europe, Australia}

d)

All of the above.

2.

Which of the following is the set of all types of matter?

a)

X = {iron, aluminum, nickel, copper, gold, silver}

b)

Y = {hydrogen, oxygen, nitrogen, carbon dioxide}

c)

Z = {liquids, solids, gases, plasmas}

d)

None of the above.

3.

Which of the following is the set of odd whole numbers less than 10?

a)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

b)

D = {0, 2, 4, 6, 8}

c)

E = {1, 3, 5, 7, 9}

d)

None of the above.

4.

Which of the following is true for set G?

G = {1, 3, 5, 7, 9}

a)

$5\notin G$

b)

$7\in G$

c)

$3\notin G$

d)

$10\in G$

5.

Which of the following is a true statement for set R?

R = {liquid, gas, solid, plasma}

a)

$gas\notin R$

b)

$solid\notin R$

c)

$liquid\in R$

d)

None of the above.

6.

Which of the following statements is true about set B?
B = {US flag colors}

a)

$red\ \in B$

b)

$white\in B$

c)

$blue\in B$

d)

All of the above.

7.

Which of the following is true about set D listed below?

D = {-3, -2, -1, 0, 1, 2, 3}

a)

-7\in D

b)

$-2\in D$

c)

D is an infinite set.

d)

All of the above.

8.

Which of the following is sets is shown with roster notation?

a)

{ q | -4 ≤ q < 3 }

b)

X = {red, blue, yellow}

c)

G = {letters in the English alphabet}

d)

None of the above.

9.

Which of the following is an infinite set?

a)

{ x : x ≥ 2 and x ≤ 6 }

b)

A = {letters in the English alphabet}

c)

B = {Asia, Africa, North America, South America, Antarctica, Europe, Australia}

d)

C = {integers}

10.

Which of the following is not a subset of P?

P = {c, l, e, a, r}

a)

Q = {e, a, r}

b)

R = {r, e, a, l}

c)

S = {l, e, a, r, n}

d)

T = {c, a, r, e}

11.

If A = {types of triangles} and B = {types of trapezoids}, then which of the following is the universal set?

a)

U = {polygons}

b)

U = {quadrilaterals}

c)

U = {hexagons}

d)

All of the above.

12.

Which of the following is the correct set-builder notation for the set listed below?
{-5, -4, -3, -2, -1, 0, 1, 2, 3, ...}

a)

$\lceil k\ \in\ N\ |\ k>-5\rceil$

b)

$\lceil q\in\ Z\ |\ q\ge-5\rceil$

c)

$\lceil x\in R\ |\ x<3\rceil$

d)

All of the above.

13.

In the Venn diagram above,

If = {students who attend The Smart School}, then which of the following is the complement of set A?

a)

A' = {students who do not attend The Smart School}

b)

A' = {students who attend the Not So Smart School}

c)

A' = {students who do not take the bus to school}

d)

None of the above.

14.

Which of the following is represented by the shaded region in the Venn diagram above?

a)

$X\cap Y$

b)

$X\cup Y'$

c)

$X'\cup Y$

d)

$X\cup Y$

15.

Which of the following is represented by the shaded region in the Venn diagram above?

a)

$X\cup Y$

b)

$X\cap Y$

c)

$X'\cup Y$

d)

$X\cup Y'$

16.

Which of the following sets is equal to the set listed below?

X = {2, 3, 5, 7, 11, 13, 17, 19}

a)

\lceil x\in R\ |\ x≥2\rceil

b)

Y = {prime numbers less than 20}

c)

Z = {odd numbers less than 20}

d)

All of the above.

17.

What type of set is H?

H = {..., -3, -2, -1, 0, +1, +2, +3, ...}

a)

finite

b)

infinite

c)

empty

d)

None of the above.

18.

Which of the following is an empty (null) set?

a)

{tiger, lion, puma, cheetah, leopard, cougar, ocelot}

b)

{cars with more than 20 doors}

c)

{prime numbers between 1 and 100}

d)

All of the above.

19.

Let M = {0, 2, 4, 6, 8, 10}, and let N = {even numbers < 10}. Which of the following statements is true?

a)

M is an infinite set.

b)

$M=N$

c)

$M\ne N$

d)

M is an infinite set.

20.

Let A = {}, and let B = Ø. Which of the following statements is true?

a)

A is an infinite set and B is a finite set.

b)

A is a finite set and B is an infinite set.

c)

A is null and B has one element.

d)

A = B.

21.

Which of the following is represented by the Venn diagram below?

a)

P = {2, 4, 6, 8, 10}

b)

Q = {6, 9}

c)

$P\cap Q$

d)

$P\cup Q$

22.

Which of the following statements is true?

a)

{vowels} $\subset$ {consonants}

b)

{consonants} $\subset$ {vowels}

c)

{vowels} $\subset$ {alphabet}

d)

None of the above.

23.

If U = {whole numbers less than 40} and P = {1, 4, 9, 16, 25, 36}, then which of the following sets overlaps with P, and is also a part of U?

a)

Q = {factors of 36}

b)

R = {multiples of 4}

c)

S = {even primes}

d)

None of the above.

24.

If UU = {whole numbers} and A' = {odd whole numbers}, then which of the following is set A?

a)

A = Ø

b)

A = {composite numbers}

c)

A = {prime numbers}

d)

A = {even whole numbers}

25.

Which of the following statements is true about the set listed below?

C = {prime numbers less than 20}

a)

9 $\notin$ C

b)

-2 $\notin$ C

c)

C is an infinite set.

d)

All of the above.

26.

Which of the following statements is true?

a)

A $\cup$ A' =U

b)

A $\cap$ A' = Ø

c)

A' = {Students not in Mrs. Smith's class}

d)

All of the above.

27.

If $A\subset B$ , then which of the following statement is true?

a)

$A\subset U$

b)

$B\subset U$

c)

$Ø\subset A$

d)

All of the above.

28.

If $A\subset B$ , then which of the following statement is true?

a)

A $\cap$ B = B

b)

A $\cup$ B = B

c)

A $\cap$ B = C

d)

All of the above.

29.

What is wrong with the set listed below?

D = {m, a, t, h, e, m, a, t, i, c, s}

a)

It is not written with roster notation.

b)

A capital letter is used to represent this set.

c)

The objects in this set are not unique.

d)

None of the above.

30.

How many subsets of M are there?

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

a)

5

b)

10

c)

16

d)

32

Sets (Form 4 Mathematics)

Total questions: 30

Worksheet time: 15mins

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