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WorksheetsGE.MATH.MIDTERM.EXAM.FS.2122
Total questions: 80
Worksheet time: 2hrs 54mins
What is said to be the most basic pattern in nature?
Pattern of Flow
Pattern of Rhythm
Pattern of Movement
Pattern of Visuals
This kind of pattern is unpredictable and it often contains fractals.
Geometric Patterns
Pattern of Movement
Pattern of Forms
Pattern of Visuals
What kind of pattern is a series of shapes that are repeating?
Geometric Pattern
Pattern of Texture
Pattern of Flows
Pattern of Visuals
Among the following, what is not a type of symmetry?
Reflection
Transformation
Rotation
Translation
All of the following statements are correct about Fibonacci except one:
The logarithmic spiral growth of the Nautilus shell
The total number of family members correspond to a Fibonacci number.
Fibonacci numbers are the root of the discovery of the secret behind sunflower seeds.
Fibonacci numbers are the root of the discovery of the secret behind sunflower seeds.
What type of sequence deals with common ratio?
Arithmetic Sequence
Geometric Sequence
Fibonacci Sequence
Harmonic Sequence
What is the sum of Fib (10) + Fib(5)?
58
60
59
61
What is Fib (12)?
144
377
233
89
What are the next two terms of the sequence, 8, 17, 26, 35?
49, 58
44, 53
39, 48
54, 63
What type of sequence is 5, 8, 13, 21, 34, 55, …?
Fibbonacci Sequence
Fibonacci Sequence
Fibonaacii Sequence
Fibonacii Sequence
Which of the following is the correct mathematical translation for an expression; “the square of the sum of the square of two numbers”?
(a + b)2
a2 + b2
(a2 + b2)2
2(a + b)2
The correct mathematical symbol translation for “The product of the sum and difference of two numbers is the difference of the square of two numbers” is:
(a + b) (a – b) = (a – b)2
(a2 + b2)(a2-b2) = a2 – b2
(a + b)(a – b) = a2 – b2
(a + b)2(a-b)2 = a2 – b2
The correct mathematical translation for “A number raised by the third power increased by one” is:
3x + 1
x3 + 1
(x + 1)3
3(x + 1)
Which of the following is the correct translation to an English expression for a mathematical expression; x3 + y3?
The sum of two numbers
The cube of the sum of two numbers
The sum of the cube of two numbers
Two numbers raised to the third power
The perimeter (P) of a rectangle is twice of its length (L) and twice of its width (W). If you are going to translate this into mathematical sentence, which of the following translation is correct?
P = 2L + 2W
P = LW
P = L2 + W2
P = 2LW
Which of the following is false?
A ∩ B = B ∩ A
(A ∪ B) ∩ C = (A∩C)∪(B∩C)
A ∪ B = B ∪ A
A – B = B – A
Which of the following is NOT an empty set?
{ }
A set of yellow carabao
∅
{ 0 }
Which of the following is false?
(0, 0) = (a, a) if a = 0
(ab, cd) = (ba, dc)
(a – b, 2x) = ( b-a, 6x/3)
(x + a, y + b) = (a+x, b + y)
Which of the following is false?
((6x2), (4x2)) = (12, 8)
(1/4, 1/5) = (4/16, 5/25)
(sqrt(9), 6/2) = (±𝟑, 𝟑)
(2/3, 3/2) = (3/2, 2/3)
If A is not equal to B, then which of the following is correct?
A x B = B x A
A x B < B x A
A x B > B x A
A x B ≠ B x A
In a mathematical sentence; 2ax + by = 6, what particular symbol is pertaining to a verb?
a and b
x and y
2 and 6
=
In a given set A = { a, b, c, d}, B = { a, c, e} and C = { b, c, f}, what is A - (B∩C)?
{ a, b, c }
{ a, b, d }
{ a, b, f }
{ a, b, e }
How many subsets are there in a given set A = { j, h, u, n }?
16
8
4
1
What is the intersection of a two sets A = {a, b, c} and B = {1, 2, 3}?
{∅}
{ }
1
0
Which of the following diagram represent of the set notation A ∪ (B ∩ C)?
If (x2 – 1, 4) = (0, y – 1), what is the value of x and y?
x = 0 and y = 5
x = 1 and y = 3
x = 1; -1 and y = 5
x = -1, 0 and y = 5
What is the value of x and y in a given two equal ordered pair below:
(2x + 1, 3y + 4) = (-4x - 2, 5 - 2y)?
x = -2; y = -5
x = 2; y = 5
x = 1/5; y = ½
x= -1/2; y = 1/5
A group of students were asked whether they are like Mathematics, English, or both. If 256 like Mathematics, 184 like English, and 120 like both subjects, how many students were there?
560
320
420
520
Given a function C(t) = 2t3 – 3t whose domain is {0, 2, 4,}, what is its range?
{0, 10, 116}
{0, 12, 24}
{0, -10, -116}
{0, -12, -24}
If f(x) = 2x2 – 3 and g(x) = 3x + 2, what is f(x) + g(x)?
2x2 + 3x – 5
2x2 + 3x + 1
2x2 + 3x – 1
2x2 + 3x + 1
It is a form of deductive reasoning where you arrive at a specific conclusion by examining two other premises or ideas.
Deductive reasoning
Inductive reasoning
Conjecture
Syllogism
Given a syllogism “All men are rational being. Anton is a man. Therefore, Anton is a rational being”. Which of the following is the minor premise?
All men are rational being.
Anton is a rational being.
Anton is a man.
Cannot be determined
How many rectangles can you find in a 2 x 2 grid of squares?
4
5
9
8
How many squares can you find in a 5 x 5 grid of squares?
55
25
52
100
Examine the given question. How many lines can you find in five points in a plane where no three points are collinear?
5
16
8
10
Inspect the given sequence of number. What will be the next number on the sequence 2, 5, 10, 17, 26, …?
37
39
38
40
Through inspection, what would be the next number on the sequence 1, 14, 51, 124, 245, 426, …?
576
679
769
976
Assume that the pattern shown by the square tiles in the figure continue. How many tiles are in the tenth figure of the sequence?
100
109
120
130
What number would come next based on the given sequence 2, 4, 8, 10, 20, 22, …?
24
44
46
54
Given a number sequence 1, 7, 17, 31, 49, 71, …, what would be the next number after 71?
97
126
62
75
What comes next based on the given name sequence?
ErnestO, OtsenrE, IsraeL, LearsI, LennarD
DarnneL
DranenL
DranneL
DarennL
What word comes next; are, era, was, saw, war, ___?
awr
ras
wra
raw
Using the nth-term formula: an = n/(n+1. What would be the first five terms of the sequence?
1, 2, 3, 4, 5
-2, -1, 0, 1, 2
1/2, 2/3, 3/4, 4/5, 5/6
2, 3, 3, 4, 4
One cut of a stick of licorice produces two pieces. Two cuts produce three pieces. Three cuts produce four pieces. How many pieces produced by six cuts?
6
8
7
9
Consider this figure. How many triangles are there on the 7th layer?
11
12
14
13
Two different lines can intersect in at most one point, three different lines intersect at most three points, and four different lines can intersect in at most six points. How many points of intersection that six different lines can produced?
21
15
28
10
What would be the next number on the given sequence of numbers 0, 2, 6, 12, 20, 30, …?
40
35
42
60
On the given sequence of numbers 1, 4, 27, 256, 3125, …, the next number after 3125 would be:
46,656
66,656
56,656
76,656
A diagonal of a polygon is a line segment that connects nonadjacent vertices (corners) of the polygon. In the following polygons, the diagonals are shown by the blue line segments. What is the diagonal of a decagon?
27
35
20
37
Shelly has saved some money for a vacation. Shelly spends half of her vacation money on an airline ticket; she then spends $50 for sunglasses, $22 for a taxi, and one-third of her remaining money for a room with a view. After her sister repays her a loan of $150, Shelly finds that she has $326. How much vacation money did Shelly have at the start of her vacation?
672
724
800
650
It is a branch of statistics that deals with data analysis and one of its techniques is to “describe” data in symbolic form and abbreviated fashion.
Inferential Statistics
Descriptive Statistics
Statistics and Probability
Probability
It is a branch of statistics that has the ability to “infer” and to generalize. It is also the right tool to predict values that are not really known.
Inferential Statistics
Descriptive Statistics
Statistics and Probability
Probability
It is an essential quantifying an observation according to a certain rule. It is also assigning numbers in a prescribed way.
Variable
Data
Measurement
Constant
If the data are labelled 1st, 2nd, 3rd, and so on, in what kind of scale does it falls?
Nominal Scale
Categorical Data
Interval Scale
Ordinal Scale
Mean is the arithmetic average of all scores. In the data: 34, 56, 75, 43, and 67, what is the mean?
53
55
54
56
It is the middle point or midpoint of any distributions. It separates the upper half from the lower half of distribution.
Mean
Mode
Median
Range
The following is a list of retirement ages for the workers in production plant: 65, 64, 65, 61, 62, 64, 65, 63, 63, 65, 64. What is the median?
64
63
65
62
It is the most frequently occurring score in the distribution.
Mean
Mode
Median
Range
These three measures can provide the information about spread of the scores in the distribution.
Mean, median and mode
Range, standard deviation and variance
Mean, range, and variance
Range, median and mode
It can be used as tools that provide information regarding average, ranking, and category of scores of a large number of scores.
Measures of Central Tendency
Measures of Dispersion
Measures of Variability
Measures of Position
Given the grade point average for the selected university students were computed. The GPA are as follows: 3.75, 3.00, 3.00, 1.75, 2.00, 2.25, and 3.25. What is the mean (in nearest hundredths)?
2.70
2.72
2.71
2.74
Given the grade point average for the selected university students were computed. The GPA are as follows: 3.75, 3.00, 3.00, 1.75, 2.00, 2.25, and 3.25. What is the median?
3.00
1.75
2.25
2.00
If the standard deviation in a distribution is 4, what is the variance?
8
32
16
64
In comparing different groups, there must be a standard scale that can reconcile both means and standard deviation in single standard form. It is only then that direct comparison is possible because transformed scores from different distributions will share common scores and these common scores are called ______.
Percentile
T-score
Quartile
Z-score
Jerry took College Admission Test which reflected at 89th percentile, what does it indicate?
89% of those who took the exam did not get it right than Jerry.
Out of 100 items of questions, Jerry had 11 mistakes.
Jerry answered 89 questions correctly.
89% of those who took the exam get it right than Jerry.
It divides the distribution into quarters.
Percentile
T-score
Quartile
Z-score
The third quartile Q3 is on what percentile rank?
25th percentile
100th percentile
50th percentile
75th percentile
In this box-whisker plot, what does the middle dot or point denote?
Q1
Q3
Median
Maximum score
It is a unimodal frequency distribution where the scores are scattered on the X-axis while the frequency of occurrence is defined by the Y-axis.
Z-distribution curve
Normal curve
Distribution curve
X-axis and Y-axis curve
This table only gives the percentage for the half curve but both the right and the left of the mean yields the same percentage since the said curve is symmetrical.
Z-table
T-table
Percentage Table
Normal table
Scores on English Test have an average of 80 with a standard deviation of 6. What is the z-score of the student who earned a 75 on test?
-0.97
-0.88
-0.76
-0.83
Group of children compared what they received while trick or treating. The average number of pieces of candy received is 43 with a standard deviation of 2. What is the z-score corresponding to 20 pieces of candy?
-11.5
-9.5
-10.5
-12.5
There is no linear correlation found if the value of r is ___.
-1
2
+1
0
The linear correlation is said to be substantial relationship if the value of r is ____.
Less than 0.20
Between 0.70 and 0.90
Between 0.40 and 0.70
More than 1
It is used in making predictions between two variables.
Linear correlation
Linear regression
Linear relationship
Regression correlation
It uses dots to represent values for two different numeric values. It is also important in determining the regression line.
Scatter plot
Box-whisker plot
Scatter line
Regression line
The data below pertains to the experience of some workers in a company (number of years) and their performance rating. Estimate the performance rating for a worker with 20 years of experience. What is the value for slope of the line?
1.13
1.15
1.14
1.16
The data below pertains to the experience of some workers in a company (number of years) and their performance rating. Estimate the performance rating for a worker with 20 years of experience. What is the value for y-intercept?
69.6
69.8
69.7
69.9
Given the data chart of selected persons with their ages and daily incomes, calculate the correlation coefficient. What is the value of r?
1
0.99
0.89
0
Given the data chart of selected persons with their ages and daily incomes, calculate the correlation coefficient. What is the interpretation for the r value?
Very dependable relationship
Almost negligible relationship
Substantial relationship
Marked relationship
