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MidTerm Exam in GE4

Total questions: 95

Worksheet time: 2hrs 32mins

Name
Class
Date
1.

Which one is NOT a pattern?

a)

twig, leaf, twig, leaf

b)

4, 3, 1; 4, 3, 1; 4, 3, 1

c)

pink, blue, pink, orange, yellow, brown

d)

the color of the rainbow in the sky

2.

What is the rule for this pattern? 32,36,40,44

a)

add 4

b)

multiply by 2

c)

subtract 4

d)

divide by 2

3.

The picture shows the example of....

a)

radial

b)

pattern

c)

symmetry

d)

sequence

4.

Which one is NOT a pattern?

a)

twig, leaf, twig, leaf

b)

4, 3, 1; 4, 3, 1; 4, 3, 1

c)

pink, blue, pink, orange, yellow, brown

d)

the color of the rainbow in the sky

5.

What is Patterns in Nature?

a)

Patterns may be based on color, size, number, and shape.

b)

Patterns are only found in nature.

c)

Patterns can only be something that is repeated.

d)

Patterns can be found in material pieces of fabric.

6.

What are the next 2 numbers of this pattern? 23, 27, 31, 35, ___, ___

a)

37, 39

b)

39, 43

c)

40, 45

d)

38, 41

7.

What natural pattern is this?

a)

bilateral symmetry

b)

radial symmetry

c)

spiral

d)

tessalations

8.

What is a spiral?

a)

curve that starts at a center point and moves away from the center

b)

start from a single point and grow outward in many directions

c)

repetition of straight-line shapes

d)

occurs when an organism has no right or left side

9.

What natural pattern is this?

a)

symmetry

b)

spiral

c)

waves

d)

cracks

e)

Dunes

10.

What are the missing numbers in this pattern? 23, 33, ___, 53, ___, 73

a)

32, 62

b)

43, 63

c)

42, 63

d)

42, 62

11.

Which of the following is an example of symmetry?

a)

a snowflake

b)

a rainbow

c)

a tree

12.
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
13.
Fibonacci was from _________.
a)
Italy
b)
Greece
c)
Russia
d)
Egypt
14.
What was Fibonacci's real name?
a)
Leonardo Pisano
b)
Leo Pisa
c)
The Big Fibber
d)
Leonardo Fibo
15.
What is the Fibonacci number pattern?
a)
Counting up starting from 1 by 1.
b)
Adding the two numbers before it to get the next number.
c)
Multiplying the two numbers before it to get the next number.
d)
Subtracting the two numbers before it to get the next number.
16.

What were some of Fibonacci's mathematical contributions?

a)

The Fibonacci Sequence

b)

Arabic Numerals

c)

The Golden Ratio

d)

All of the above

17.
What Greek Symbol represents The Golden Ratio?
a)
Phi
b)
Psi
c)
Pi
d)
Theta
18.

The difference of 2 and r equals -3.

a)

2−r = -3

b)

r÷2 = -3

c)

r+2 = -3

d)

2r = -3

19.

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

20.

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

a)

>

b)

±

c)

⊗

d)

≠

21.

The difference of 2 and r equals -3.

a)

2−r = -3

b)

r÷2 = -3

c)

r+2 = -3

d)

2r = -3

22.

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

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

23.

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

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

24.

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)  

25.

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.

26.

What pattern can be found in the image?

a)

symmetry

b)

meanders

c)

fractals

d)

dunes

27.

What pattern can be found in the image?

a)

symmetry

b)

meanders

c)

fractals

d)

dunes

28.

What pattern can be found in the image?

a)

symmetry

b)

meanders

c)

tesselations

d)

chaos

29.

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

30.

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

a)

golden ratio

b)

fractals

c)

patterns

d)

Fibonacci sequence

31.

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

32.

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  

33.

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.

34.

All relations are functions.

a)

True

b)

False

35.

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

36.

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

a)

x and y

b)

5,6,8

c)

+ and -

37.

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

38.

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

39.


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

40.

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

41.

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

42.

a)

FUNCTION

b)

NOT FUNCTION

43.

a)

FUNCTION

b)

NOT FUNCTION

44.

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

45.

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.

46.

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


What is the next Fibonacci number?

a)

14

b)

21

c)

22

d)

24

47.
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
48.

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.

49.

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}

50.

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}

51.

Identify what type of set is the given set below?

{consonants of the English alphabet}

a)

Finite set

b)

Empty Set

c)

Infinite Set

52.

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}

53.

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}

54.

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}

55.

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}

56.
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}
57.
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)}
58.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
59.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
60.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
61.

It is an ordered collection of objects.

a)

relation

b)

function

c)

set

d)

proposition

62.

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}

63.

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}

64.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

65.

 

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

66.

 

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

67.

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

68.

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.

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.

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

73.

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

a)

True

b)

False

74.

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

75.

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

76.

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

77.

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

a)

Elements

b)

Objects

c)

Set

d)

Group

78.

A set whose element is empty or countable.

a)

Equal set

b)

Subset

c)

Infinite set

d)

Finite set

79.

A set whose elements cannot be counted.

a)

Infinite set

b)

Subset

c)

Finite set

d)

Null set

80.

It is a set of ordered pair.

a)

Set

b)

Relation

c)

Domain

d)

Range

81.

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

82.

Translate the following phrase to mathematical expression:

Twice a number

a)

2 + x

b)

x + 2

c)

2x

d)

a and b

83.

Translate the following phrase to mathematical expression:

Six subtracted from a number.

a)

6 – x

b)

x ÷6

c)

x + 6

d)

x – 6

84.

Translate the following phrase to mathematical expression:

Ten more than a number.

a)

10x

b)

x – 10

c)

x + 10

d)

10 – x

85.

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

86.

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)

87.

the quotient of 36 and x

a)

36+x

b)

x-36

c)

36x

d)

36/x

88.

a number decreased by 9

a)

n + 9

b)

n - 9

c)

9n

d)

n/9

89.
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
90.
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
91.

Solve the following using PEMDAS


(67 - 18) ÷ 7 x 3

(a)  

92.

Solve the following using PEMDAS


(7 x 8 - 4) ÷ (6 - 2)

(a)  

93.

Simplify: 50 - (35 - 10 ⋅ 2)

(a)  

94.

Simplify:

(21 - 1) ⋅ 2 ÷ 4

(a)  

95.

Simplify:

24 ÷ 4 ⋅ 2 + (32 - 1 + 6)

(a)  

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