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WorksheetsSTEM-ABM Entrance Examination
Total questions: 150
Worksheet time: 2hrs 14mins
Please find the value of Y when x equals 3 to complete the table.
(a)
The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?
After 5 week the plant is 4 inches tall
The plant grows at a rate of 5/4 inch per week
After 4 weeks the plant is 5 inches tall
The plant grows at a rate of 1 inch per week
For what value of x does f(x) = -2?
0
-5
3
-3
Which of the following is not a function?
What is f(g(2)) : g(x) = x3+2x2+x−12 and f(x) = 2x2−x−50
(a)
The interest payable on a deposit of Php250 at 5.5% simple interest is:
Php137.50
Php13.75
Php12.50
Php125.00
For Saturday’s debate tournament, Sarah ordered 3 cookies for each student participant and a tray of 30 cookies for the sponsors’ hospitality room. This relationship can be expressed by the function f(s) = 3x + 30, where s is the number of student participants. Which is the dependent quantity in this functional relationship?
The number of cookies ordered
The number of trays ordered
The number of student participants
The number of sponsors
Jeepney driver charges 13 pesos for fix fare for the first 5 kilometers. If succeed, additional 2 pesos per kilometer regardless of a full kilometer or fraction of a kilometer.
What is the jeepney fare if a commuter will travel 8 kilometers?
13
15
16
19
What is the x-intercepts of r(x)=(x+4)(x+3)(x+4)(x+2)(x+1)
(−2,0) and (−1,0)
(2,0) and (1,0)
(2,0) and (−1,0)
(−2,0) and (1,0)
The Cartesian plane was named after the French mathematician ____________________.
Rene Descartes
Luis Cartesan
Henre Poincare
Blaise Pascal
It is a numerical quantity that is assigned to the outcome of an experiment.
Statistics
Probability
Random Variable
Distribution
Two coins are tossed in an experiment. Which of the following list is the sample space?
S= {HH, HT, TH, TT}
S= {HH, TT}
S= { HT, TH, TT}
S= {HH, HT, TT}
TRUE or FALSE: The area that corresponds to z = 2.58 is the same as the area that corresponds to z = -2.58, which is A = 0.4951
TRUE
FALSE
Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?
68%
81.5%
16%
34%
It is an assertion or a claim about a population parameter that suggests neutrality between variables.
alternative hypothesis
directional hypothesis
inductive hypothesis
null hypothesis
Which of the following statements is true?
Type II error is committed if the null hypothesis is true and accepted.
Type I error is committed if the null hypothesis is true and accepted.
Type II error is committed if the null hypothesis is true and rejected.
Type I error is committed if the null hypothesis is true and rejected.
A bakery shop owner claims that the mean sale of his special bread is 1500 pieces per day. Determine the parameter to be tested in the given problem.
The special bread.
The bakery shop owner.
Number of pieces of bread sold in a day
Mean sales of the special bread per day.
A clinical psychologist asserts that the average attention span of a 12-year-old is about 30 minutes. This is against the recorded attention span which is about 40 minutes. What is the appropriate null hypothesis for this claim?
The average attention span can be longer than 30 minutes.
A 12-year-old student has an average attention span of 30 minutes.
A 12-year-old student cannot focus on a task for about 30 minutes.
The average attention span of a 12-year-old student is less than 30 minutes
A researcher believes that the average cost of a Statistics workbook is PHP 180. She samples 30 workbooks and calculates the mean of the sample to be PHP 205. Does this value warrant the conclusion that the average cost of workbooks is greater than PHP 180?
The mean population might be higher than PHP 180.
The true average of the population of all workbooks might indeed be PHP 180.
No, there is insufficient information. The population might be lower than PHP 180.
No, there is insufficient information. The population might be larger than PHP 180.
The school nurse of a public school in Pampanga claims that the mean weight of grade 11 students is 55.6 kg with a standard deviation of 5.4 kg. The HOPE teacher takes a random sample of 35 STEM students and found out to have a mean weight of PHP 52.3 kg. To test the claim of the teacher with a level of significance of 0.05, what test statistic is appropriate to use assuming the data came from a normal distribution?
one-sample t-test
one-sample z-test
Pearson r
Linear Regression
What is the answer in the given expression?
x→2lim−4x-4
2
-8
-6
find the limits
x→2lim(x5−2x3+x2−8)11
15
12
Consider the function whose graph is given. Evaluate the limit of the function as x approaches 0.
2
1
0
-2
Evaluate the limit of the function
-22
0
1
Does not exist
Determine whether f is continuous at a=0. If not, determine the type of discontinuity.
Continuous
Removable Continuous
Essential Continuous
Removable and Essential Continuous
A full revolution of a circle is equivalent to
2π radian
360 mm
90 rev
Which of the following is not an example of coterminal angles?
45° and −315°
30°, 390°, and −330°
3π and −53π
6π and 67π
Solve 2sinx+1=0 on the interval [o, 2π]
67π,611π
6π,65π
3π,32π
34π, 35π
Find the exact value of
−sin75°
−4(6+2)
4(6+2)
4(−6+2)
4(6−2)
What is the standard equation of a parabola that opens down and whose vertex is at
(h.k)?(x−h)2=4c(y−k)
(x−h)2=−4c(y−k)
(y−k)2=4c(x−h)
(y−k)2=−4c(x−h)
Which could be the graph of 4(x−3)2+9y=1?
Which of the following is the type of conic sections as the surface of two cones with plane as figure?
Circle
Ellipse
Parabola
Hyperbola
Identify the image being described or asked, choose 2 best answer.
Plasma Membrane
Ribosomes
Cell membrane
Lysosomes
Identify the image being described or asked.
Cell
Tissue
Organ
Organ System
DNA stands for?
(a)
What does Cell Membrane do? Choose the 2 correct answer.
Container for the cell’s organelles
Barrier for preventing molecules from moving IN and OUT of a cell at random
Support the tissue
Directs the cell’s activities and stores DNA.
“Powerhouse of the cell”, releases energy from food
Ribosome
Golgi Apparatus
Mitochondria
Lysosomes
Includes protists, fungi, plants and animals.
Eukaryotic cells
Prokaryotic cells
“Garbage disposal,” contain chemicals that breakdown wastes, animal cells have a lot.
Vacuoles
Endoplasmic Reticulum (ER)
Lysosomes
Golgi Apparatus
Chloroplast contains the green pigment called ___________ which captures light energy that drives the reactions of food making process.
chlorophyll
carotenoid
sugar
cellulose
Which of the following scientists was the first to observe bacteria under a microscope?
Robert Hooke
Matthais Schleiden
Anton van Leuwenhoek
Theodor Schwann
Ionic Solids Have
a low melting point
a moderate melting point
a high melting point
none of these
When you make a dilution, which of these values remains constant?
The molarity (M)
The total moles of solute
The volume (V)
The concentration
A solution that has water as the solvent is called a(n).....
Aqueous Solution
Water-Based Solution
Organic Solution
Dilute Solution
What is the molarity of a solution containing 400 g of CuSO4 (FM: 159.6 g/mol) in 4.0 L of solution?
100 M
1.6 M
0.626 M
0.01 M
How many different elements are in this chemical formula: C2H2PK3
6
2
8
4
How many ATOMS are in the compound C2H2PK3
8
7
4
3
____ and ____ combine to yield ____ and____.
zinc chloride , Hydrogen ,zinc , hydrochloric acid
zinc , hydrochloric acid , zinc chloride , Hydrogen
hydrochloric acid , zinc chloride, Hydrogen, zinc
zinc chloride , Hydrogen , hydrochloric acid , zinc
Balance the Equation .
___ N2 + ___ F2 --> ___ NF3
1 , 3 , 1
1 , 3 , 3
1 , 3 , 2
2 , 3 , 2
it constitutes units based on power of 10 which makes it preferred system to be used in science
measurement
metric system
basic units
unit prefixes
A boy walked 120 m to the north, then 36 m to the south. What is the magnitude of his displacement?
84 m
156 m
302 m
326 m
A Voyager is launched from the Earth into space and moves further and further away. What happens to the force gravity between the objects as the Voyager continues on its journey?
The Force of Gravity stays the same
The Force of Gravity increases
The Force of Gravity decreases
The Force of Gravity increases and then decreases
Which of the following circuits would have the brightest light bulb?
A circuit with one lightbulb and 3 batteries attached in series to it
A circuit with one lightbulb and 1 battery connected to it
A circuit with one lightbulb and 3 batteries attached in parallel to it
A circuit with one lightbulb and 1 batteries attached in parallel to it
Which direction would the yellow object go if it is being spun in a clockwise fashion and let go at the point in the image?
East
West
North
South
What is the magnitude of the resultant vector of A moving 15 m/s2, east and B moving 25 m/s2, 60° north of east?
35.00 m/s2
40.00 m/s2
27.50 m/s2
21.65 m/s2
What is the direction of the resultant vector of A moving 15 m/s2, east and B moving 25 m/s2, 60° north of east?
60° north of east
27° north of east
38° north of east
43° north of east
What must be the acceleration of a train in order for it to stop from 12 m/s in a distance of 54 m?
What is the formula to be used in this problem?
∆x=vot+2at2
∆x=2vo+vf⋅t
vf2=vo2+2a∆x
a=tvf−vo
What the resulting equation if you substitute the equation of acceleration derived from
vf2=vo2+2a∆x to F=ma ?F=m(2Δxvf−vo)
F=m2Δxv2
F=m(2Δxvf2−vo2)
F=m(2Δxvo)
Which equation is applicable to use when looking for the maximum horizontal distance reached by the projectile?
2gvo2sin2θ
gvosinθ
gvo2sin2θ
2gvosinθ
What kind of circuit is this?
series
parallel
this circuit is .....?
open
close
parallel
series
A thermometer was dipped in hot coffee through a hole in the closed Styrofoam cup that holds it. Which of the following is the most accurate temperature reading (in °C) from the thermometer shown in the figure?
75.0 °C
75.60 °C
75.65 °C
75.70 °C
Which of the following scientist discovered the projectile motion?
Albert Einstein
Charles Darwin
Isaac newton
Galileo Galilei
The largest number that can evenly divide two integers is called the (a) .
The measure of central tendency that represents the sum of a data set divided by the number of data points is called the (a) .
The process of finding the instantaneous rate of change of a function is called (a) .
The basic unit of structure and function in living organisms is the (a) .
A chemical bond formed when two atoms share one or more pairs of electrons is called a (a) .
The rate of change of velocity with respect to time is known as (a) .
Jenny invested money from Lucena Rural Bank at 1.05% simple interest for 3 years. It was charged ₱472.50 for interest.
What formula will be used to determine the amount of borrowed money?
𝐼s = 𝑃𝑟𝑡
P=rtIs
Ic=F(1+j)n
P=(1+r)tF
It is the amount of time in years the money is borrowed or invested.
Principal Amount
Maturity/Future Value
Interest
Rate
Find the Interest (I):
Principal Amount = Php 128,000
Simple Interest = 10%
Time = 6 months
Php 6,100
Php 6,200
Php 6,300
Php 6,400
(x - 4)2 + (y - 3)2 = 25 ?
Radius = 5 units
Radius = 25 units
Radius = 25 units
Radius = 5 units
25x2 + 5y2 + 6x + 4y +2 = 0
A manufacturer claims that his tires last at least 40,000
miles. A test on 25 tires reveals that the mean life of a tire
is 39,750 miles, with a standard deviation of 387 miles.
Test the Manufacturer’s claim at α = .01.
Reject Ho
Reject Ha
Fail to reject Ho
Fail to reject Ha
Find the area under the standard normal curve that is between z=1and z=2
0.8641
0.1359
-0.1359
0.1587
Which of the following graphs shows a normal curve?
z=σx−μ
The random variable X is best described by normal distribution with µ = 30 and σ=6. Find the z-score if X = 50
(a)
It is a propositional statement which is always true.
argument
fallacy
logical equivalence
tautology
Which of the following statements is a fallacy?
Today is Wednesday, and tomorrow is not Wednesday.
If today is raining, then tomorrow is sunny day.
Today is cloudy or today is windy.
Today is windy if and only if it is cloudy.
Which of the following is a tautology?
[(p→q)∧∼q]→∼p
[(p→q)∧q]→∼p
[(p→q)∧∼q]→p
[(p→q)∧q]→p
Which product in the following equation is a conjugate base?
H2O + HCl → H3O+ + Cl-
Water
Hydrogen chloride
Hydronium
Chloride
Kirchoff's First Law states
the sum of the currents entering any junction in an electric circuit must equal the sum of the currents leaving that junction
the sum of the charges entering any junction in an electric circuit must equal the sum of the charges leaving that junction
the sum of the emfs entering any junction in an electric circuit must equal the sum of the pds leaving that junction
none of these
If three 1.5 V cells are connected in parallel
the combined emf is 4.5 V and it will last as long as a single 1.5 V cell
the combined emf is 1.5 V and it will last longer than a single 1.5 V cell
the combined emf is 4.5 V and it will last as long as a single 1.5 V cell
none of these
What current would flow?
0.36 A
1.04 A
0.021 A
0.82 A
Remember: V=IR and P=VI
What effect does a hotter temperature have on resistance?
No effect
Increases resistance
Decreases resistance
Stays the same
p: all dogs bark
q: all flowers are yellow
Translate to symbolic notation:
Not all dogs bark and all flowers are yellow.
~p V q
~p /\ q
~p /\ ~q
~p V ~q
Which resistor is in series with resistor R?
R1
R2
R3
R4
states that, holding nonprice factors constant, the quantity of a good or service that a supplier is willing to offer on the market relates directly to price.
Law of Demand
Law of Supply
Law of Demand and Supply
Law of Curve Shifts
when the quantity demanded is greater than the quantity supplied, or when the product’s price is below the equilibrium price
Equilibrium
Shortage
Surplus
Complement
A government‐set maximum price that can be charged for a good or service
Basic Price
Price Foundation
Price Ceiling
Limit Price
the different amounts of a product that a buyer would purchase at different prices
Demand Schedule
Demand
Supply Schedule
Supply
Which is NOT a major economic problem?
When to produce?
What to produce?
How to produce?
For whom to produce?
Economics is said to deal mostly with the ____________ of resources.
Deprivation
Allocation
Usage
Consumption
If the price is above the equilibrium level, the quantity demanded is greater than the quantity supplied
True
False
I have no idea
Define minimum wage
The minimum price firms are willing to pay for labour
The minimum price unskilled workers are willing to supply their labour for
The minimum price of labour set by governments in the labour market
The minimum price of labour set by governments in the resource market
The tenant can always terminate the rental contract free of charge and move.
True
False
Any person who can create something new or something different has already acquired a competitive advantage.
Business
Businessman
Entrepreneur
Entrepreneurship
What (Negative) Filipino Value system refers to the behavior of preventing someone from achieving something due to jealousy or envy?
Ningas Cogon
Mana Habit
Crab mentality
Grapevine
The founder of Jollibee?
Tony Tan Caktiong
Ramon S. Ang
Gabby Lopez
Zobel de Ayala
Nestle Corporation is from what country?
Japan
Switzerland
Philippines
United States of America
If CEO stands for Chief Executive Officer, COO stands for
Chief Operation Officer
Chief Officer of the Organization
Chief Over Organization
Chief Overtime Officer
This is the cash that is generated by the business when it operates successfully
Retained profits
Share capital
Angel investor
Owner savings
A form of fraud which lures investors and pays profits to earlier investors by using funds obtained from more recent investors.
Pyramid Scheme
Ponzi scheme
DSS Sou Sou
Traditional Sou Sou
It represents what the company owns.
ASSETS
LIABILITIES
CAPITAL
REVENUE
EXPENSES
It is the claims of external parties from the entity.
ASSETS
LIABILITIES
CAPITAL
REVENUE
EXPENSES
It reflects the residual claims or the net assets of the owners of the entity.
ASSETS
LIABILITIES
EQUITY
REVENUE
EXPENSES
Amounts received by a business earned as a result of selling or rendering a service.
ASSETS
LIABILITIES
EQUITY
REVENUE
EXPENSES
TRUE OR FALSE:
The customer paid in advance for rent so the accounting title that I'm going to use in my book of account is PREPAID RENT.
TRUE
FALSE
What is an integrated set of processes that involves coordinating and overseeing the performance of people working together to help achieve their goals?
business
controlling
management
organizing
What is a collection of people working together to achieve a common purpose?
business
environment
organization
resources
What management function involves setting the goals and targets of an organization?
managing
organizing
planning
staffing
What type or level of management do strategic managers who prepare general and long-term goals for the organization fall under?
low-level
middle-level
top-level
unit-level
What modern management theory views management as an integrated process composed of parts or inputs processed efficiently to create quality products or outputs?
Cooperative Systems
Knowledge Management
Systems Management
Quality Management
Which of the following is NOT an activity of the staffing function in management?
communication
evaluation
recruitment
selection
What type or level of management communicates directly with and trains the staff?
low-level
middle-level
top-level
unit-level
Which of the following is NOT included in 5 Marketing Concepts?
Market
Customer needs, wants, & demands
Exchange
Customer Satisfaction
As per Dr. Piano, what is the equation for Customer Satisfaction?
CS=Performance>Expectation
CS=Performance<Expectation
CS=Benefits/Price
CS=Price/Benefits
Human _______ are states of felt deprivation and can include physical, social, and individual needs.
NEEDS
WANTS
PRICE
PLACE
_________ are the form human needs take as they are shaped by culture and individual personality.
Wants
Needs
Demands
Performance
Which of the following is ONE of the 5 alternative concepts that companies use to carry out their marketing strategy?
Societal Marketing Concept
Placement Concept
Marketing Strategy
Customer Satisfaction
______________ is the overall process of building and maintaining profitable customer relationships by delivering superior customer value and satisfaction.
Customer service
Customer Relation
Customer Relationship Management
Customer
TRUE OR FALSE
The crucial part of building customer relation is to create superior customer-perceived-value.
True
False
Maybe
Not sure
Products has 2 under category which is Tangible and ___________
Intangible
Promotion
Place
Price
How long will 1 Million pesos earn a simple interest of 100,000 at 1% per annum?
5 years
10 years
4 years
12 years
Mr. Sarmiento aims to have his investment grow to P500,000 in 4 years. how much should he invest in an account that pays 5% compounded annually?
411,351.24
607,753.13
389,451
745,212.90
Rate when compounded annually will give the same compound each year with the normal rate
Equivalent rates
Nominal rates
Effective rates
Common rates
Express 200% as a decimal.
(a)
30 is 40% of what number?
(a)
A place where stocks can be bought or sold.
Stock Market
Philippine Stock Exchange
Stocks
Bonds
If the tuition fee in a certain school increased by 12% and last year’s tuition fee was P35,000, what is the new tuition fee?
P4,200
P42,000
P38,500
P39,200
What is 2/3 of 12?
4
6
8
7
If the net price of a rubber shoes is P1,200 and the trade discount rate is 40%, the list price is ______________.
P3,000
P2,500
P2,000
P1,500
A refrigerator is for sale at P17,999 in cash or on terms, P1,600 each month for the next 12 months. Money is 9% compounded monthly. Which is lower?
Cash price
The present value of the installment terms
