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WorksheetsMATHEMATICS MAJORSHIP
Total questions: 90
Worksheet time: 45mins
In the arithmetic sequence -2, 1, 4, 7, ..., which term is 100?
34th
35th
36th
40th
The first term of an arithmetic sequence is 3 and the 20th term is 98. What is the 25th term?
The 19th term of an arithmetic sequence is 85 and the 12th term is 43. Find the common difference.
Insert one term between 18 and 32 to make a geometric sequence.
Insert one term between 81 and 169 to make a geometric sequence.
Find the general term An of the sequence 7, 16, 25, 34, 43, 52, 61, ...
An = 7n + 5
An = 10n - 3
An = 8n + 1
An = 9n - 2
In n arithmetic sequence, the 23rd term is 157 and the common difference is -4. What is he 34th term?
If the number x-1, x+2 and 2x+4 are consecutive terms of a geometric sequence, what is x?
4
8
12
16
If a and b are integers and the sum of ab and b is odd, which of the following could be true?
I. a and b are both odd
II. a is even and b is odd
III. a is odd and b is even
II only
What day follows the day before yesterday if 2 days from now will be Sunday?
A shareholder sells his shares for more than he paid for them. This is known as:
What is the ratio of 51 to 155 ?
Thalia laid tiles on the floor. She began with 1 square tile at the corner of the room. She added three tiles to form 2x2 tile square and then 5 tiles to form 3x3 tiles square. She continues in this way until the whole floor is covered. Last, she adds 25 tiles. What is the size of the floor?
166 square tiles
169 square tiles
266 square tiles
269square tiles
The surface on the earth between the tropic of cancer and the Arctic Circle is called ______.
Cone
Zone
Plane
Circle
An 18th century Swiss Mathematician, he introduced the "Law of Large Number" in his (The Art of Conjecture). In statistics, this implies that the larger the sample, the more likely will the sample become representative of he population. Who was he?
He invented a method of determining the optical values of linear function subject to a certain constraints. This method is known as linear programming. Who is he?
Who published a treatise on treatise on trigonometry which contains the earliest use of our abbreviations: sin, cos, sec, tan, for sine, tangent and secant?
Gregorio de Saint
Albert Gerald
John Napier
Johann Herdde
He has been described as the greatest "might-have-been" in the history of mathematics.
Gregorio De Saint
Gaspard Monge
Bonaventura Cavalier
Blaise Pascal
There are types of correlation between paired data perfect positive correlation, perfect negative correlation, same positive correlation, same negative correlation and no correlation.
He was a 16th century mathematician, who was the first to define that the probability of an event to happen is the quotient of the number of the favorable outcomes and the number of all outcomes. Who is he?
A subset of the sample space is ____.
The figure shows ______.
No corralation
Perfect positive correlation
Same negative correlation
Same positive correlation
The figure shows_____.
No correlation
Perfect positive correlation
Same negative
Same positive correlation
He invented a method of determining the optimal values of a linear function subject to certain constrains. This method is known as linear programming. Who is he?
If the opposite sides of a quadrilateral are equal, the figure is a _______.
The ULTRA football field is 100 meters from the goal line to goal line. If it is 360 meters around a football field, How wide is the field?
The sum of he sides of a polygon is _____ of the polygon.
Perform the operation given that A= {-4, -2, 0, 2, 4}, B= {-4, -2, 0, 3, 4}
A U B =
Simplify the expression:
2x2−503x−15×6x+92x2+16x+30
2x−3x+3
2x+3x−3
2x−3x−3
2x+3x+3
Ruka average 91 on 5 her exams. if she wants to have an average of 92, what score must she get on her 6th exam?
Romar's first score in his Math exams were 90, 92, 93, and 95. What must his score be in his fifth exam in order for him to have an average score 92?
Sphere of equal size are piled in he form of a complete pyramid with a rectangular base, find the total number of spheres in the pile if the number of spheres in the long side is 5 and that of the short side is 4 until the top layer consists of a single row of 2 spheres.
all 500 boys in a school play basketball or volleyball or both. If 30% of the boys play volleyball and 90% play basketball, how many play both basketball and volleyball?
Insert one term between 18 and 32 to make a geometric sequence.
Perform the indicated operation and reduce result to simplest form.
xzy
y2z2z2
xy2x2
yz2x2
Simplify this complex fraction: 1+a11−a21
a+1a
−aa+1
a−1a
aa−1
The length of line AB is 15 units. Suppose the coordinates of A are (9, -7) and the coordinates of B are (x,2). What is/are the value/s of x?
I. 21
II. 17
III. 14
IV. -3
I only
I and II
I and IV
I, II, and III
They used vigesimal number system of based twenty system using only three symbol namely shell-like, dot and line.
Egyptian
Babylonian
Mesoamerican
Native American
He developed the Method of Indivisibles and published Geometria Indisibilis.
What is/are the goal/s o mathematics education in the Philippines?
I. Problem solving
II. Critical thinking
III. Creativity
IV. Reasoning
I only
II only
I and II
I, II, III, IV
One learns Math by building on Math lessons previous learned. This is ________.
Humanist
Psychological
Learning by doing
Constructivist
Evaluate ∫25(x2+x21)dx
23103
3331
39103
40103
x→2limx2−3x+2x2−x−2
The surface of two spheres are 12π cm2 and 108π cm2. What is the ratio of their volumes?
1:27
2:3
The sum of two numbers is 45 and their product is 499. Find the sum of their squares.
It is a correspondence between two sets x and y such that to each element x of the set y, there correspondence exactly one element y of the set Y, is called a.
One factor of a3−2a2−a+2 is a−1 find the other factors.
What is e complete simplified equivalent of 5+i2
5 - i / 13
2 + 5i / 29
5 + i/12
3 - 2i/10
Evaluate the limit as r approaches -1 of r+1r3+3r2+3r+1
What is the sum of the first 20 counting number, the first 20 even counting number and the first 20 odd counting numbers?
1020
1030
1015
1025
Evaluate the determinant of Matrix A.
2 3 4
A=-1 -1 -2
5 4 3
The trace of the square matrix A, to (A) is the sum of its diagonal elements of
3 5 2
A= 2 4 5
6 7 2
2 6 3
B= 2 3 8
7 1 9
Find the tr (A) + tr (B)
19
20
21
23
simplify x - 3y(x - 8y) - (-6x + 7y)
7x - 3xy + 24y2 - 7y
7x - 3xy - 24y2 + 7y
-7x - 3xy - 24y2 - 7y
-7x - 3xy - 24y2 + 7y
What conic section represent 4x2 - y2 +8x +4y = 15
How many different arrangements of the word PARRAMATTA are possible?
37800
A lot of technology application is utilized in which branch of algebra?
Quantity is to Number theory, as space is to ______
What is the primary Mathematical tool used in Artificial Intelligence?
Linear Algebra
Trigonometry
Business Math
Abstract Geometry
two adjacent angles whose distinct sides lie on the same line are called what?
There are 24 mangoes in a basket, of which 7 are rotten. What is the probability that when randomly getting two mangoes at the same time both are rotten?
Mr. Park is 20 years older than his son now. Five years from now, the Mr. Park age will be 5 less than twice his son's age. Find the son's present age.
If the sum of the supplement and the complement of an angle is 100 degrees, what is the angle?
Find the equation of variation if m varies directly as the square of n, and m is 150 when n=5.
A math teacher asks students to create their own word problems from a given equation. This promotes:
Which is a characteristic of a learner centered math classroom?
Teacher dictates solutions step by step
Students are passive listeners
Students ask questions and explore solutions
Emphasis is on written exams only
Spiral progression in the K-12 curriculum means
In planning for spiral progression, which of the following best reflects how a teacher should handle quadratic equations?
Teach only one method
Introduce multiple solution strategies in one grade
Introduce simple factoring in grade 8, completing the squares in grade 9, and the quadratic formula in grade 10
Focus on procedural fluency grade 7 to
Which statement best reflects constructivist theory in teaching mathematical concepts?
Knowledge is passed from teacher to student through examples
Students learn best by listening and copying the process
Students actively build understanding through guided inquiry and problem-solving
learning occurs when errors are immediately corrected by the teacher
A teacher gives praise every time a student simplifies a rational expression correctly. Over time the student become confident in doing math. This reflect which concept?
Cognitive dissonance
Operant conditioning
Self-determination theory
Insight learning
Which technology best suited for teaching mathematical proofs interactively?
Programming Software
Dynamic Geometry Software
Word Processing Software
Database Software
What is a key features of software like Desmos in mathematics education?
It allows for word processing
It focuses on database management
It provides real-time graphing of equations
It is primarily for creating presentation
Which online platform is specially designed for collaborative mathematics problem-solving?
In what way can 3D printing be utilized in mathematics education?
To create traditional textbooks
To produce physical models of geometric shapes
To print worksheets
To make visual presentations
Which of the following technologies is most effective for engaging students in learning calculus?
Graphing Calculators
Word Processing Software
Video Games
Simple Calculator
What advantage does using online math tutorials provide for students?
They replace classroom instruction entirely
They allow students to learn at their own pace
They limit student interaction with peers
They complicate the learning process
Which of the following software tools allows for the simulation of statistical experiments?
SPSS
Excel
Adobe Illustrator
Notepad
What is the main benefit of using formative assessment tools un mathematics classroom?
They solely focus on final exams
They provide insights into student understanding throughout the learning process
They reduce the need for classroom participation
They complicate assessment methos
How can teachers effectively use online simulations in teaching probability?
By showing students on theoretical concepts
By allowing students to conduct virtual experiments and analyze results
By limiting access to simulations
by avoiding technology altogether
What technology can enhance students' understanding of complex algebraic functions?
Which ancients civilization in known for using a base-10 number system in their calculation?
Indian
Egyptians
Greeks
Indians
What is he number 2/3 of whose square root is 10
67
100
105
205
Given that 3x+4=49
What is the total length of fabric materials if there are 72/10 meters and 15 4/5 meters available?
Use absoltute value notation to describe the given situation: The distance between x and 3.
Use absolute value notation to describe the given situation: The distance between x and -2 is 4
|x + 2| = -4
|x - 2| = -4
The given multiplication table represents a cyclic group. Find d2.
a
b
c
d
Solve the area bounded by the curve x= y>> + 2y and the line x= 3
10 sq. u
10.67 sq. u
45.12 sq. u
55sq. u
Find the radius of x2 + y2 +12x - 14y = 36
5
9
11
13
If the sum and product of the roots of the roots of a quadratic equation are 1/2 and -3 respectively, then the equation is.
Determine the area of a triangle with vertices. A(2,5), B(-3, 1), C(5, -2)
