Free Printable MATHEMATICS IN THE MODERN WORLD

1.

It is a kind of sequence that is in order and can be repeated.

a)

Sequential Pattern

b)

Pattern

c)

Numeric Pattern

d)

Geometric Pattern

2.

20,31,42,53,64, what is the next number after 64?

(a)

3.

Who discovered Fibonacci Numbers?

a)

Leonardo Pisano

b)

Leonardo Da Vinci

c)

Leonardo Pisano Bigollo

d)

Leonard Pisano

4.

Mathematics is always around us.

a)

True

b)

False

5.

Select all possible answers.

Mathematics can be use in the following.

a)

Organizing

b)

Predicting

c)

Controlling

d)

Judgement

e)

Hypnotizing

6.

A kind of statement which says that a certain property is true for all elements in a set. What is this?

(a)

7.

A kind of statement which says that if one thing is true then some other thing also has to be true. What is it?

(a)

8.

A type of statement which says that there is at least one thing for which the property is true.

a)

Universal Statement

b)

Conditional Statement

c)

Existential Statement

9.

"If b is a butterfly, then b is an insect".

Which statement best suits on the sentence above?

a)

Universal Conditional Statements

b)

Universal Existential Statements

c)

Existential Universal Statements

10.

"If x is a real number, then 5 is also a real number"

The sentence above is an example of Universal Conditional Statement.

a)

True

b)

False

11.

A (a) is a statement that is universal because its first part says that a certain property is true for all objects of a given type.

12.

An existential universal statement is a statement that is existential because its first part asserts that a certain object exists and is universal because its second part says that the object satisfies a certain property for all things of a certain kind.

a)

True

b)

False

13.

It uses the connector "if and only if"

a)

Biconditional

b)

Corollary

c)

Conditional

d)

Lemma

14.

Two sets, say A and B, are said to be joint sets if they are mutually exclusive.

a)

True

b)

False

15.

Two sets, say A and B, are said to be equivalent if and only if they have the exact number of elements.

a)

True, at all situations

b)

True, but there are exemptions

c)

False, at all situations

d)

False, but there are exemptions

16.

All of the following statements are correct about Fibonacci except:

a)

The logarithmic spiral growth of the Nautilus shell is an example of Fibonacci.

b)

The total number of family members correspond to a Fibonacci number

c)

Fibonacci numbers are the root of the discovery of the secret behind sunflower seeds

d)

The numbers of petals of almost all flowers in the world correspond to the Fibonacci numbers.

17.

What is the sum of Fib (10) + Fib (5)

a)

58

b)

59

c)

60

d)

61

18.

Which of the following is NOT a statement?

a)

$\sqrt{3}<\sqrt{2}$

b)

A force is a push or pull.

c)

Is a cation positively charged?

d)

Many cells comprise a tissue.

19.

Let x be a whole number and P(x):x is prime. Which of the following is true?

a)

For all x, P (x)

b)

For all x, not P(x)

c)

For some x, P(x)

d)

None of these

20.

The negation of 'some planets are terrestrial' is

a)

some planets are terrestrial

b)

all planets are terrestrial

c)

some planets are not terrestrial

d)

all planets are not terrestrial

21.

The argument 'A force is a push or pull. A force is a pull. Therefore, a force is not a push' is

a)

true

b)

false

c)

valid

d)

invalid

22.

Which of the following statements is/are TRUE?
I. If $\lceil x\rceil^2-1=0$ , then x=1 or x=-1

II. If $\lceil x\rceil^2-1=0$ , then x=1 and x=-1

a)

I

b)

II

c)

I & II

d)

None of the above

23.

If a boy saved P25 on the first day, P27 the second day, P29 the third day, and so on, how many days will it take him to save P880?

a)

20

b)

21

c)

22

d)

23

24.

The population of a certain town is 5000. If it increases 5% each years, what will be the approximate population at the end of 10 years?

a)

8144

b)

8532

c)

8926

d)

8756

25.

What is the sum of the first 20 Fibonacci numbers?

a)

10945

b)

10924

c)

6743

d)

6742

26.

What is the next letter in the series; A, D, I, L?

a)

N

b)

O

c)

Q

d)

P

27.

If a viral cell penetrated a healthy rabbit and the cell will divide into two in about one day. After a day, these two cells will divide again, with the doubling process continues until there are 2 billion cells, at which time the rabbit dies. On which day after the experiment is started does this happen?

a)

31 days

b)

41 days

c)

51 days

d)

61 days

28.

What is the next pattern?

a)

b)

c)

d)

29.

BONUS: Pick Hello.

a)

Good morning

b)

Hi

c)

Hello

d)

Goodbye

30.

BONUS: What is the subject code for our class?

a)

GE 6

b)

GEd 5

c)

GEd 7

d)

GEd 9

31.

It is the value of the golden ratio.

a)

1.861

b)

1.168

c)

1.186

d)

1.618

32.

The following words are associated to the operation of subtraction EXCEPT

a)

decrease

b)

difference

c)

deduct

d)

distribute

33.

Is this an example of Fibonacci's number sequence in nature?

a)

Yes

b)

No

34.

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}

35.

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

36.

Which of the following sets has 4 elements?

a)

A = { x/x is an odd number }

b)

B = { x/x is a vowel }

c)

C = {x/x is an even number between 1 to 9}

d)

D = {x/x is an even number from 2 to 10}

37.

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.

38.

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

C = {x/x is a prime number less than 20}

a)

9 is not an element of C

b)

2 is an element of C

c)

Set C is an infinite set.

d)

All of the above.

39.

If A = { x/x is a counting number from 1 to 10}
B = { 2, 4, 6, 8, 10}, what is $A\cap B?$

a)

$A\cap B$ = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

b)

$A\cap B$ = { 2, 4, 6, 8, 10}

c)

$A\cap B\ =\ \left\{1,\ 3,\ 5,\ 7,\ 9\right\}$

d)

$A\cap B\ =\ \left\{\right\}$

40.

If A = { x/x is a counting number from 1 to 10}
B = { 2, 4, 6, 8, 10}, what is $A\cup B?$

a)

$A\cup B\ =\ \left\{2,\ 4,\ 6,\ 8,\ 10\right\}$

b)

$A\cup B\ =\ \left\{1,\ 3,\ 5,\ 7,\ 9,\right\}$

c)

$A\cup B\ =\ \left\{1,\ 2,\ 3,\ 4,\ 5\right\}$

d)

$A\cup B$ = { x/x is a counting number from 1 to 10}

41.

If U = { x/x is a counting number from 1 to 10}

A = { 2, 4, 6, 8, 10}, what is A'?

a)

A' = {x/x is a counting number from 1 to 10}

b)

A' = {2, 4, 6, 8,10}

c)

A' = {1, 3, 5, 7, 9}

d)

A' = {6, 7, 8, 9, 10}

42.

If A = { x/x is a vowel } and B = { 1, 2, 3, 4, 5}, which of the following statements is true?

a)

A = B

b)

n(A) = B

c)

A = n(B)

d)

n(A) = n(B)

43.

Which of the following statements is correct?

a)

All equal sets are equivalent sets.

b)

All equivalent sets are equal sets.

c)

All sets are equal.

d)

All sets are equivalent.

44.

Given that $B\ =\ \left\{green,\ blue,\ indigo,\ violet\right\}$

A\ =\ \left\{red,\ orange,\ yellow\right\}

, what is

A\cap B

?

a)

$A\cap B\ =\ \left\{\ \ \ \right\}$

b)

$A\cap B\ =\ \left\{red,\ orange,\ yellow,\ green\right\}$

c)

$A\cap B\ =\ \left\{blue,\ indigo,\ violet\right\}$

d)

$A\cap B=\left\{red,\ orange,\ yellow,\ green,\ blue,\ indigo,\ violet\right\}$

45.

If set C = {fries, fried chicken, spaghetti, coke float} and set D = {kalabasa, papaya, malunggay, pipino}, what is $C\cup D$ ?

a)

$C\cup D\ =$ { }

b)

$C\cup D\ =\left\{talong,\ sitaw,\ ampalaya,\ kamote\right\}$

c)

$C\cup D\ =\$ {fries, fried chicken, spaghetti, papaya, malunggay, pipino}

d)

$C\cup D\ =\$ {kalabasa, papaya, malunggay, pipino, fries, fried chicken, spaghetti, coke float}

46.

Determine the number of elements in a given set

X = {x/x is a counting number between 0 to 20}

a)

21

b)

20

c)

19

d)

18

47.

Determine the number of elements in a given set

X = {x/x is a counting number between 0 to 20}

a)

21

b)

20

c)

19

d)

18

48.

Determine the number of elements in a given set

X = {x/x is a counting number between 0 to 20}

a)

21

b)

20

c)

19

d)

18

49.

What is correct symbol for empty set?

a)

{0}

b)

$\left\{\phi\right\}$

c)

$\infty$

d)

$\phi$

50.

Which of the following means proper subset?

a)

$\subset$

b)

$\subseteq$

c)

$\in$

d)

=

51.

Which of the following is the symbol for element of?

a)

∅

b)

$\subset$

c)

$\in$

d)

$\not\subset$

52.

Which of the following statements is correct?

a)

All equal sets are equivalent sets.

b)

All equivalent sets are equal sets.

c)

All sets are equal.

d)

All sets are equivalent.

53.

How many subsets does set A have?

A = { red, blue}

a)

1

b)

2

c)

3

d)

4

54.

True or False:

If

P = {3, 5, 7, 9, 11}

Q = {9, 11, 13}

R = {3, 5, 9} S = {13, 11}

then Q ⊂ P.

a)

True

b)

False

55.

True or False:

If

P = {3, 5, 7, 9, 11}

Q = {9, 11, 13}

R = {3, 5, 9} S = {13, 11}

then S ⊂ P.

a)

True

b)

False

56.

If every element in set A is also in set B, then...

a)

A is a subset of B

b)

B is a subset of A

c)

A = B

d)

A and B are disjoint

57.

Give me an example of the subset of

A = { car, airplane. train}

a)

{boat}

b)

{motorbike, car}

c)

{car, train}

d)

{bicycle, train

58.

True or False? {A,B} is subset from {A,B,C,D}

a)

True

b)

False

59.

True or false? {1,2,3,4} is subset from {1,2,3,4,5,6,7,8,9}

a)

True

b)

False

60.

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

a)

A = {2, 4}

b)

B = {13, 7, 9, 11, 5, 3, 1}

c)

C = {2, 3, 4, 5}

d)

D = {0}

61.

What are the subsets of {0, 1, 2, 3, 4, 5}? (SELECT ALL THAT APPLY)

a)

{0, 1,3, 4, 5}

b)

{0, }

c)

{0, 6, 2, 3, 4, 5}

d)

{0, 1, 4,5}

e)

{0, 1, 2, 3, 4, 5,8}

62.

True or false? {R,G,B} is a proper subset from {R,G,B}.

a)

True

b)

False

63.

{3}x{3}=......

a)

{3}

b)

(3,3)

c)

{3,3}

d)

{(3,3)}

64.

If : X={1,2} and Y={3,4} , then: (3,4)∈......

a)

XY

b)

X²

c)

Y²

d)

X×Y

65.

If :n(X)=4 , Y={3,4} , then n(X×Y)=......

a)

6

b)

10

c)

9

d)

8

66.

X×Y=Y×X , when: n(X)=......

a)

∅

b)

0

c)

1

d)

2

67.

If : n(X²)=9 , then n(X)=......

a)

3

b)

81

c)

2

d)

9

68.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

69.

a)

a=3 , b=4

b)

a=2 , b=4

c)

a=3 , b=6

d)

a=2 , b=5

70.

What is the number of elements of AxB?

a)

6

b)

8

c)

10

d)

12

71.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

72.

𝒙×∅=......

a)

∅

b)

0

c)

1

d)

2

73.

All counting numbers are also whole numbers.

a)

TRUE

b)

FALSE

74.

The cartesian product of any given sets is represented by elements in

a)

roster form

b)

Ordered Pair form

c)

Set builder form

d)

verbal form

75.

True or false:
Addition ALWAYS comes before division.

a)

True

b)

False

76.

Which of the following is a well-defined set?

a)

Set of beautiful actresses.

b)

Set of soccer teams in the Premier League.

c)

Set of honest politicians.

d)

Set of happy soccer players in Europe.

77.

Which of the following is not a well-defined set?

a)

Set of soccer shoes brands.

b)

Set of players of FC Barcelona.

c)

Set of handsome soccer players.

d)

Set of the top scorers in the La Liga.

78.

What set describes the following elements?

{4, 6, 8. 10, 12}

a)

Set of even numbers.

b)

Set of even numbers between 4 and 12.

c)

Set of even numbers from 4 up to 12.

d)

Set of even numbers less than 14.

79.

Which of the following set of elements does not belong to "set of the factors of 18"?

a)

{2, 6, 9, 18}

b)

{1, 3, 6, 18}

c)

{2, 4, 6, 8}

d)

{3, 6, 9, 18}

80.

Which of the following is the correct set-builder notation of the set below?

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

a)

A = {x | x is a whole number below 8}

b)

A = { x | x are numbers from 2 up to 7}

c)

A = {x | x is a whole number between 2 and 7}

d)

A = {x | x is a counting number between 1 and 8}

81.

Which of the following does not describe the set below?

B = {3, 5, 7, 9, 11}

a)

B = {x | x is an odd number from 3 up to 11}

b)

B = {odd numbers between 1 and 13}

c)

B = {x | x is an odd number less than 12}

d)

B = {odd numbers greater than 2 but less than 12}

82.

Which of the following is the roster method of the set below?

C = {distinct letters of the word "COOL"}

a)

C = {C, O, O, L}

b)

C = {C, O, L}

83.

What do you write at the end of the list of elements in a "roster method" if the set is infinite?

a)

etc

b)

and so on

c)

dash

d)

three dots

84.

How do you call the three dots in a roster method of an infinite set?

a)

and so on

b)

ellipsis

c)

etchetera

d)

dot-dot-dot

85.

Identify what type of set is the given set below?

{consonants of the English alphabet}

a)

Finite set

b)

Empty Set

c)

Infinite Set

86.

Identify what type of set is the given set below?

{odd numbers}

a)

Finite set

b)

Empty Set

c)

Infinite Set

87.

Identify what type of set is the given set below?

{odd numbers between 7 and 15}

a)

Finite set

b)

Empty Set

c)

Infinite Set

88.

Identify what type of set is the given set below?

{day of the week that has 5 letters}

a)

Finite set

b)

Empty Set

c)

Infinite Set

89.

If A = {months of the year with 31 days}, what is n(A)?

a)

7

b)

6

c)

5

d)

4

90.

Given:

A = {k, a, t, e}

B = {f, a, k, e}

C = {t, a, k, e}

Which sets are equivalent but not equal?

a)

A and C

b)

B and C

c)

None of the given sets.

91.

Given:

A = {k, a, t, e}

B = {f, a, k, e}

C = {t, a, k, e}

Which sets are equal?

a)

A and C

b)

B and C

c)

A and B

d)

None of the given sets.

92.

Which of the following is NOT a subset of the given set below?

U = {factors of 12}

a)

A = {1, 2, 3, 4}

b)

B = {1, 3, 6, 12}

c)

C = {4, 6, 8, 12}

d)

D = {2, 3, 4, 6}

93.

Which of the following is an improper subset of the given set below?

U = {first 5 prime numbers}

a)

A = {3, 5, 7, 11, 13}

b)

B = {1, 2, 3, 7, 11}

c)

C = {2, 3, 5, 7, 11}

d)

D = {1, 3, 5, 7, 11}

94.

How many subsets does a set with 4 elements have?

a)

4 subsets

b)

8 subsets

c)

16 subsets

d)

32 subsets

95.

Given:

U = {first 5 even numbers}

A = {4, 6, 8. 10}

B = {2, 4, 6, 8}

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

Which of the following statement is FALSE?

a)

A ⊂ U

b)

C ⊆ U

c)

U ⊂ B

d)

B ⊂ C

96.

He developed the Theory of Sets.

a)

Albert Einstein

b)

Leonhard Euler

c)

Georg Cantor

d)

Carl Gauss

97.

A group or collection of objects is called (a)

98.

Each object in a set is called an (a)

99.

If D={x | x is an even number from 12 to 20}, what is n(D)?

a)

3

b)

4

c)

5

d)

6

100.

If P = { x | x is a vowel in the RHYTHM}, which of the following is true?

a)

P has 6 elements

b)

P is an empty set

c)

P is an infinite set

MATHEMATICS IN THE MODERN WORLD

Total questions: 100

Worksheet time: 14hrs 2mins

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