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Midterm Exam in GEC-MMW

Total questions: 100

Worksheet time: 32mins

Name
Class
Date
1.

what does the symbol

≤\le mean ?

a)

is less than

b)

is less than or equal to

c)

is greater than

d)

is greater than or equal to

2.

Which one of the following symbols tells us two things are not identical?

a)

>

b)

±

c)

⊗

d)

≠

3.

The difference of 2 and r equals -3.

a)

2−r = -3

b)

r÷2 = -3

c)

r+2 = -3

d)

2r = -3

4.
4 + 8 = 10 + 5
a)
True
b)
False
5.

In the phrase “the number is increased by nine”, what operation is implied?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

6.

 In the phrase “thirteen less than a number g”, what operation is suggested?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

7.

This symbol, ∧, means...

a)
and
b)
or 
c)
not 
d)
implies
8.

This symbol, ∨, means...

a)
and
b)
or
c)
not
d)
implies
9.

This symbol, ↔, means...

a)
and
b)
or 
c)
if and only if
d)
implies
10.
T Λ F = 
a)
T
b)
F
c)
Uncertain 
11.
T V F = 
a)
T
b)
F
c)
Uncertain
12.
T ↔ F = 
a)
T
b)
F
c)
Uncertain
13.

What type of logic is this table showing?

a)

conjunction

b)

disjunction

c)

negation

d)

conditional

14.

Give the correct variable phrase: "The product of 12 and the sum of -2 and a number"

a)

(12)(−2)+x\left(12\right)\left(-2\right)+x  

b)

(12)(−2+x)\left(12\right)\left(-2+x\right)  

c)

(12−2)(x)\left(12-2\right)\left(x\right)  

d)

(12+x)(−2)\left(12+x\right)\left(-2\right)  

15.

Translate into an English phrase: 2m−3=42m-3=4  

a)

Twice a number decreased by 3 is 4.

b)

A number decreased by 3 and multiplied by two is 4.

c)

Twice the difference of 3 and a number is 4.

d)

The difference of 3 and twice a number is 4.

16.

Which of the following is a statement?

a)

I live in Daanbantayan.

b)

Open the gates.

c)

How old are you?

d)

4x−74x-7

17.

What pattern can be found in the image?

a)

symmetry

b)

meanders

c)

fractals

d)

dunes

18.

What pattern can be found in the image?

a)

symmetry

b)

meanders

c)

fractals

d)

dunes

19.

What pattern can be found in the image?

a)

symmetry

b)

meanders

c)

tesselations

d)

chaos

20.

These are patterns that the scale or smaller unit is repeated continuously until it is difficult to repeat or see.

a)

golden ratio

b)

fractals

c)

patterns

d)

Fibonacci sequence

21.

This number approaches a value of ɸ (Phi) approximately equal to 1.618.

a)

golden ratio

b)

fractals

c)

patterns

d)

Fibonacci sequence

22.

A sequence of number where each number is the sum of the two numbers that precede it.

a)

golden ratio

b)

fractals

c)

patterns

d)

Fibonacci sequence

23.

Which of the following is an expression?

a)

α2b>−2\alpha^2b>-2  

b)

α2b−2\alpha^2b-2  

c)

a2b<−2a^2b<-2  

d)

a2b≈−2a^2b\approx-2  

24.

Which is the negation of the statement, "Abby is at least 160 cm high."

a)

Abby is more than 160 cm high.

b)

Abby is 160 cm high.

c)

Abby is less than 160 cm high

d)

Abby is taller than me.

25.

Given the propositions:

p = Jea takes education course.

q = Jea studies at CTU.

r = CTU offers education courses.

What does  (p ∧ q)→r\left(p\ \wedge\ q\right)\rightarrow r  mean?

a)

Jea takes education course and studies at CTU.

b)

Jea studies at CTU and takes education course.

c)

CTU offers education courses that's why Jea studies there.

d)

If Jea takes education course and studies at CTU then CTU offers education courses.

26.

"The person in front of you is happy." is an example of ______.

a)

A Mathematical Sentence.

b)

An Engish sentence that is always true.

c)

An Engish sentence that is always false.

d)

An Engish sentence that is sometimes true or false.

27.

All relations are functions.

a)

True

b)

False

28.

Language is a systematic way of ________________ with other people by the use of sounds or conventional symbols

a)

SYNCHRONIZING

b)

ORGANIZING

c)

COMMUNICATING

d)

COLLABORATING

29.

In this expression, 5x+6y-8. What are the variables?

a)

x and y

b)

5,6,8

c)

+ and -

30.

In the given set, A={(3,4),(2,1),(1,-1)}, what do you call to the numbers inside the braces?

a)

SET

b)

COLLECTION

c)

ELEMENTS

d)

NUMBERS

31.

A = {1, 2, 3, 4, 5, ...}, what method was used in representing the set A in which set A are natural numbers?

a)

ROSTER METHOD

b)

SET BUILDER NOTATION

c)

VERBAL DESCRIPTION

d)

ALL OF THE ABOVE

32.


A= x∥x ϵ N and x>6  A=\ x\parallel x\ \epsilon\ N\ and\ x>6\ \  where N is the set of counting numbers. What method was used in representing the Set A?

a)

ROSTER METHOD

b)

SET BUILDER NOTATION

c)

GENERAL METHOD

d)

SPECIFIC METHOD

33.

Is x2 = 36 an example of infinite set?

a)

YES,BECAUSE THE NUMBER IS CONTINUOUS

b)

NO, BECAUSE IT CONTAINS A DEFINITE NUMBER OF ELEMENTS (6 AND -6)

34.

Which set does not contain any element and can be denoted by {} or ∅?

a)

SINGLETON SET

b)

EMPTY SET

c)

EQUIVALENT SET

d)

FINITE SET

35.

The sets {0}, {5}, {− 7} can be classified as what kind of set?

a)

SINGLETON SET

b)

EMPTY SET

c)

FINITE SET

d)

DEFINITE SET

36.

Let A = { d, e, f, g } and B = { 4, 5, 6, 7 }, then A and B are:

a)

FINITE SET

b)

INFINITE SET

c)

EQUAL SET

d)

EQUIVALENT SET

37.

a)

FUNCTION

b)

NOT FUNCTION

38.

a)

FUNCTION

b)

NOT FUNCTION

39.

What type of pattern in nature is made by series of circular shapes revolving around a central point?

a)

Symmetry

b)

Fractals

c)

Spirals

d)

Chaos

40.

Which of the following is not true about the sunflower seeds?

a)

It has a definite pattern of clockwise and counterclockwise spirals.

b)

Arrangement of sunflower seeds maximizes the space of the sunflower head.

c)

Sunflower seeds maximizes their access to light and nutrients.

d)

Sunflower seeds were individually arranged by the caretaker to look lovely.

41.

0,1,1,2,3,5,8,13,__


What is the next Fibonacci number?

a)

14

b)

21

c)

22

d)

24

42.

Mathematics is a language.

a)

TRUE

b)

FALSE

43.
Which of the following would be a Fibonacci sequence?
a)
1, 2, 3, 4, 5, 6
b)
2, 4, 6, 10, 16, 26
c)
3, 6, 9, 12, 15, 18
d)
4, 2, 1, 1/2, 1/4, 1/8
44.

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.

45.

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}

46.

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}

47.

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

a)

elements

b)

ellipsis

c)

etchetera

d)

dot-dot-dot

48.

Identify what type of set is the given set below?

{consonants of the English alphabet}

a)

Finite set

b)

Empty Set

c)

Infinite Set

49.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is A ∩ BA\ \cap\ B  ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

50.

Given the sets
A = {2, 3, 4, 5} and B = {2, 4, 5, 6}

What is A∪BA\cup B  ?

a)

{2, 4, 5}

b)

{2, 3, 4, 5, 6}

c)

{3}

d)

{6}

51.

Given the sets
U = {a, b, c, d, e, f, g, h, i, j}
A = {a, c, e, g, i} and B = {b, c, d, e, f}

What is  B′B'  ?

a)

{a, b, c, d, e, f, g, i}

b)

{b, d, f, h}

c)

{a, g, h, i, j}

d)

{c, e}

52.

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}

53.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
54.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}
55.
Which relation is NOT a function?
a)
{(1,-5), (3,1), (-5,4), (4,-2)}
b)
{(2,7), (3,7), (4,7), (5,8)}
c)
{(1,-5), (-1,6), (1,5), (6,-3)}
d)
{(3,-2), (5,-6), (7,7), (8,8)}
56.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
57.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
58.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
59.

It is an ordered collection of objects.

a)

relation

b)

function

c)

set

d)

proposition

60.

Which of the following two sets are equal?

a)

A = {1, 2} and B = {1}

b)

A = {1, 2} and B = {1, 2, 3}

c)

A = {1, 2, 3} and B = {2, 1, 3}

d)

A = {1, 2, 4} and B = {1, 2, 3}

61.

If U = {1,2,3,4,5} and A = {2,4} then A' should be

a)

{2,4,5}

b)

{2,4}

c)

{1,2,3,4,5}

d)

{1,3,5}

62.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

63.

 

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

64.

 

Write an algebraic expression for:

three times a number plus 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

d)

none of the choices

65.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

66.

A conditional is symbolized like this…

a)

p v q

b)

p → q

c)

p * q

d)

p ^ q

67.

Which of the following statement is a proposition?

a)

Get me a glass of milkshake

b)

God bless you!

c)

What is the time now?

d)

My favorite color is gold.

68.

Let P: This is a great website,

Q: You should not come back here.

Then ‘This is a great website and you should come back here.’ is best represented by?

a)

~P V ~Q

b)

P ∧ ~Q

c)

P V Q

d)

P ∧ Q

69.

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

70.
Fibonacci was from _________.
a)
Italy
b)
Greece
c)
Russia
d)
Egypt
71.
Is this an example of Fibonacci's number sequence in nature?
a)
Yes
b)
No
72.

It is a declarative statement that is true or false but not both.

a)

Negation

b)

Proposition

c)

Preposition

d)

Disjunction

73.

It uses the connector "if and only if"

a)

Biconditional

b)

Corollary

c)

Conditional

d)

Lemma

74.

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

75.

In union of sets, elements are not repeated in a set.

a)

True

b)

False

76.

Between two sets, it is the collection of ordered pairs containing one object from each set.

a)

Subset

b)

Ordered Pair

c)

Relation

d)

Function

77.

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

78.

Let p be true and q be false. Which of the following is true?

a)

p or q

b)

p and q

c)

if p then q

d)

p if and only if q

79.

It is the system used by mathematicians to communicate mathematical ideas among themselves.

a)

Mathematical Sentence

b)

Mathematical Sequence

c)

Mathematical Language

d)

Mathematical Problem

80.

It is a well-defined collection of distinct objects called elements.

a)

Elements

b)

Objects

c)

Set

d)

Group

81.

A set whose element is empty or countable.

a)

Equal set

b)

Subset

c)

Infinite set

d)

Finite set

82.

A set whose elements cannot be counted.

a)

Infinite set

b)

Subset

c)

Finite set

d)

Null set

83.

It is a set of ordered pair.

a)

Set

b)

Relation

c)

Domain

d)

Range

84.

It is a relation such that each element of the domain is paired with exactly one element of the range.

a)

Function

b)

Set

c)

Relation

d)

Pair

85.

Translate the following phrase to mathematical expression:

Twice a number

a)

2 + x

b)

x + 2

c)

2x

d)

a and b

86.

Translate the following phrase to mathematical expression:

Six subtracted from a number.

a)

6 – x

b)

x ÷6

c)

x + 6

d)

x – 6

87.

Translate the following phrase to mathematical expression:

The quotient of a number and seven.

a)

7x

b)

7 / x

c)

1 / 7

d)

7 – x

88.

Translate the following phrase to mathematical expression:

Ten more than a number.

a)

10x

b)

x – 10

c)

x + 10

d)

10 – x

89.

Translate the following phrase to mathematical expression:

Four more than five times a number.

a)

5x + 4

b)

5 + 4x

c)

x(4 + 5)

d)

4x + 5x

90.

Translate the following phrase to mathematical expression:

The square of the sum of five and a number.

a)

5 + x2

b)

5 + 2x

c)

(x + 5)2

d)

2(x + 5)

91.

the quotient of 36 and x

a)

36+x

b)

x-36

c)

36x

d)

36/x

92.

a number decreased by 9

a)

n + 9

b)

n - 9

c)

9n

d)

n/9

93.
Which of the following best describes the expression 4 times a number increased by 7?
a)
(x/4) + 7
b)
4x - 7
c)
4(x + 7)
d)
4x + 7
94.
Which of the following best describes the expression 8 less than the quotient of a number and 2?
a)
(x/2) - 8
b)
8 - (x/2)
c)
(x - 8)/2
d)
2x - 8
95.

Solve the following using PEMDAS


(67 - 18) ÷ 7 x 3

(a)  

96.

Solve the following using PEMDAS


(7 x 8 - 4) ÷ (6 - 2)

(a)  

97.

Simplify: 50 - (35 - 10 ⋅ 2)

(a)  

98.

Simplify:

(21 - 1) ⋅ 2 ÷ 4

(a)  

99.

Simplify:

24 ÷ 4 ⋅ 2 + (32 - 1 + 6)

(a)  

100.
What are some of the application of The Golden Ratio?
a)
Dance, Music and Writing
b)
Art, Reading and Counting
c)
Architecture, Music and Design
d)
English, Political Justice and Sports Management

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