MATH Flashcards
1
Q
What is the cost of candy in the game?
A
40
2
Q
What is the chance of not winning in the carnival game?
A
15/16
3
Q
What is the chance of winning in the carnival game?
A
1/16
4
Q
What is the velocity of wind when Kevin travels from LA to San Francisco?
A
20 mph
5
Q
What is the airspeed of the plane in the same journey?
A
170 mph
6
Q
What is the standard deviation of the recognized voices?
A
1.34
7
Q
What is the mean of the recognized voices?
A
2
8
Q
The probability of a student studying less than 6 hours is ______.
A
0.09
9
Q
What is the probability of choosing a positive senior high student?
A
1/8
10
Q
If the height is 50 feet, what is the distance traveled before coming to rest?
A
250 ft
11
Q
What is the maximum value of 3sin(x)?
A
3
12
Q
What is the maximum area of a rectangle with sides parallel to axes?
A
1250
13
Q
What is the average cancellation rate for hotel reservations?
A
0.4096
14
Q
What is the total number of cases for XYZ Corporation?
A
2,334 cases
15
Q
What is the harmonic mean of the given values?
A
6.4
16
Q
The probability of having fewer than 2 cancellations is ______.
A
0.8192
17
Q
What is the age of Kim?
A
5 yrs
18
Q
At what distance is the Manila to Baguio journey?
A
114.58 km
19
Q
What is the sum of the ages of Ben’s parents if it is twice the sum of the children’s ages?
A
Twice the sum of ages
20
Q
What is the cancellation probability for more than 8 but less than 12?
A
0.000784
21
Q
What is the area of a tetrahedron with base b?
A
√3 b²
22
Q
What is the radius of curvature at point P(4,4)?
A
22.36
23
Q
The maximum volume for post office mailing is ______.
A
959.26 cu. in
24
Q
What is the volume of a tetrahedron?
A
√2/12 b³
25
What is the probability of having at least 4 students who do not recognize?
0.957
26
The equation of a hyperbola in the given context is ______.
Gx² – 4y² + 54x + 8y – 247 = 0
27
Fill in the blank: The maximum fencing area for 20ft is ______.
100
28
What is the probability of a student studying between 6.5 and 8.5 hours?
47.91%
29
What is the maximum volume of a cylindrical can with 1000 cm³?
5.42 cm
30
What is the time it takes for Jun to row his banca across a width of 0.25 km?
3.75 min
31
What is the angle of elevation for the pilot flying at a bearing of 63.3°?
101 mph
32
The time for a pebble dropped to reach the ground is approximately ______.
125.88 in²/sec
33
The area bounded by the parabola x²=8y and its latus rectum is ______.
16/3 s.u.
34
What is the average heart rate of a person mentioned?
171
35
What is the probability of randomly choosing a negative senior high student?
1/7
36
The distance traveled in a carnival game is ______.
90
37
What is the total number of layers in the pile of logs?
14
38
The area bounded by r² = 16 cos(θ) is ______.
32 sq units
39
What is the formula for the area of a circle with radius a?
A = πa²
40
What is the speed of a point on a circle with a radius of 10 ft and a radius of 8 ft?
5/3 ft/s
41
What is the percentage of the volume of a cone that is also inside a cylinder?
44%
42
What is Newton’s Law of Cooling?
T(t) = T_ambient + (T_initial - T_ambient)e^(-kt)
43
What is the formula for the area of a hypocycloid?
Area = 3πa²
44
What is the length of the arch of a parabola described by the equation x² = 4y?
4.6
45
What is the largest rectangle inscribed in an ellipse with area 4?
4
46
What is the formula for the length of the shortest line segment connecting two points a and b?
a + b
47
What is the breadth of a rectangle if its area is given by 2a?
2a/π
48
What is the longest path in a circle of radius R?
2πR
49
What is the cross-section of a shape with area 12√2?
12√2
50
What is the ratio of the surface area of a sphere to its volume?
3/R
51
What is the definition of concentric circles?
Circles with the same center but unequal radii
52
What is a cylinder with an elliptical cross-section called?
Cylindroid
53
What is the term for a line segment joining two points?
Chord
54
What is the formula for the probability of the union of two mutually exclusive events?
P(A ∪ B) = P(A) + P(B)
55
What is the special rule of multiplication for independent events?
P(A ∩ B) = P(A) ∙ P(B)
56
What is the empirical rule for a normal distribution?
68% of data within 1 standard deviation
57
What is the significance of the values P(1), P(2), and P(3) in a normal distribution?
P(1) - P(-1) = 68%, P(2) - P(-2) = 95%, P(3) - P(-3) = 99.7%
58
What is the term for the distance of a point from the y-axis?
Abscissa
59
What is the term for the distance of a point from the x-axis?
Ordinate
60
What is the dot product of two vectors?
Magnitude of one vector times magnitude of the other times cos(θ)
61
What is the cross product of two vectors?
Magnitude of one vector times magnitude of the other times sin(θ)
62
What is the maximum shearing stress formula for a beam with breadth b, height h, and volume V?
3V/bh
63
What is the density of an iceberg in fresh water?
G17 kg/m³
64
What percentage of the human body will float in fresh water?
2%
65
What is the relationship between the lengths of the sides of a triangle in the context of a ladder?
3.67m for a 6m ladder at 50°
66
What is the formula for calculating the pressure at a certain height in a fluid?
P = pgh
67
What is the definition of laminar flow?
Fluid flow in parallel layers with minimal disruption
68
What is the definition of turbulent flow?
Fluid flow characterized by chaotic changes in pressure and flow velocity
69
What is the purpose of a Pitot tube?
Fluid velocity measurement
70
What is the purpose of a manometer?
Measure pressure
71
What does a barometer measure?
Air pressure
72
What is the purpose of a hygrometer?
Measure relative humidity
73
What is the formula for the effective value (RMS) of an AC voltage?
RMS = V_peak/√2
74
What is the significance of a power factor of unity?
Reactive power is zero
75
What happens to speed when the frequency of an induction motor increases?
Speed increases
76
What is the formula for the moment diagram under a uniform distributed load?
Parabolic
77
What is the formula for the moment at the midpoint under a concentrated load?
WL/4
78
What is the purpose of a reverse power relay?
Prevent motorizing of generator
79
What is the term for a transformer that converts two-phase to three-phase?
Scott-T transformer
80
What is the term for the driving source of voltage for fault analysis?
I pu
81
Which law states the conservation of charge?
KCL
82
What law describes the conservation of energy?
KVL
83
What is the minimum size of conductor for lighting?
2.0 mm²
84
Fill in the blank: The maximum ampacity for motor load is _____
1.25
85
What is the PEC 2009 based on?
NEC 2005
86
What does the term 'auto transformer' refer to?
One winding transformer
87
True or False: An ideal transformer includes zero reactance of the winding.
True
88
What is the typical load rating?
1
89
What is the minimum size connected to a 40A circuit?
5.5 mm²
90
What are the two types of capital costs associated with load?
* High Capital Cost, Low Operating Cost (HCC, LOC)
* Low Capital Cost, High Operating Cost (LCC, HOC)
91
What type of communication allows only one party to interrupt?
Half Duplex
92
What is the maximum time for current in a circuit?
T/4
93
What is the eccentricity of a circle?
0
94
Define the term 'parabola'.
Locus of a point which moves such that the distance from a fixed point called focus and a fixed line called directrix are equal.
95
What is the definition of an ellipse?
Locus of a point which moves so that the sum of the distances from two fixed points called foci is constant.
96
What is the relationship of constants in an ellipse?
a² = b² + c²
97
What defines a hyperbola?
Locus of point which moves such that the difference of its distances from two fixed points is constant.
98
What is the definition of a conic section?
A curve obtained as the intersection of a cone with a plane.
99
What is the critical point in thermodynamics?
Liquid and gas phases become indistinguishable.
100
What is the boiling point?
Temperature at which liquid turns into vapor.
101
What are the three legs of the fire triangle?
* Energy
* Oxygen
* Fuel
102
What is the voltage level for Extra Low Voltage (ELV)?
Below 50 VAC or 120 VDC
103
What is the maximum ampacity for a branch circuit?
3%
104
What is the formula for the compound amount factor?
(1+i)^n
105
What is the unit of measurement for energy?
Joule
106
What is the conversion factor for 1 angstrom?
10^-10 m
107
What is the definition of isobars?
Constant pressure
108
What is the major axis of an ellipse?
Longest diameter of the ellipse, usually denoted by 'a'.
109
What is the definition of valence electrons in a conductor?
Less than 4
110
What is the definition of a monopsony?
Many buyers and one seller
111
Fill in the blank: The ideal gas constant, R, is _____ kJ/kg-K.
0.287
112
What is the standard ampere rating for a load of 150?
150, 175, 200, 225, 250
## Footnote
Standard ampere ratings are provided in increments for various load capacities.
113
What is the minimum age requirement for a Registered Electrical Engineer (REE)?
21
## Footnote
This age requirement is part of the professional qualifications for electrical engineers.
114
What is the derating factor for 7-9 conductors?
70%
## Footnote
Derating factors are used to adjust the ampacity of conductors based on the number of conductors present.
115
Fill in the blank: The code for Ground Fault Circuit Interrupter is ______.
GFCI
116
What does the acronym AFCI stand for?
Arc Fault Circuit Interrupter
117
What color represents 'Security' in alert colors?
Red
## Footnote
Different alert colors are used to signify various states of security and emergency.
118
True or False: A Professional Electrical Engineer (PEE) must be at least 25 years old.
True
119
What does the acronym IEEE stand for?
Institute Of Electrical And Electronics Engineers
120
What is the adjustment factor for 41 and above conductors?
35%
## Footnote
This adjustment factor helps ensure safe operation under specific conditions.
121
List the ampere ratings that fall under the +100 category.
* 600
* 700
* 800
## Footnote
These ratings are used for specific load capacities.
122
What is the purpose of the Energy Regulatory Commission (ERC)?
Regulate and oversee the energy sector
123
Fill in the blank: The law that governs the Electric Power Industry Reform is commonly known as ______.
EPIRA
124
What is the age requirement for a Registered Master Electrician (RME)?
18
## Footnote
This is a prerequisite for obtaining the RME certification.
125
What is the standard ampere rating for a load of 400?
400, 450, 500
## Footnote
This rating is applicable for various electrical installations.
126
What is the definition of 'Utilization equipment'?
Motors, heaters, furnaces, etc.
127
What is the adjustment factor for 10-20 conductors?
50%
## Footnote
This factor reduces the allowable current for safety.
128
What does the acronym GFCI stand for?
Ground Fault Circuit Interrupter
129
What is the purpose of the Continuing Professional Development Act (CPD)?
To promote lifelong learning among professionals
130
What age must a candidate be to apply for the Professional Electrical Engineer (PEE) examination?
25
131
What is the adjustment factor for 4-6 conductors?
80%
132
What voltage should not be exceeded for foreign electrical engineers to be exempt from examination?
250KV, 50KVA
133
What is the definition of 'Electrical system design'?
Planning and detailing of electrical systems
134
What is the term for the highest effective potential difference in electrical engineering?
Voltage
135
What does the acronym LAN stand for?
Local Area Network
136
What must the passing percentage be for the written exam for Registered Master Electrician (RME)?
70% with no grade below 50%
137
What is the role of the Board of Electrical Engineering?
To regulate the practice of electrical engineering
138
What is the requirement for a Professional Electrical Engineer regarding moral character?
Good reputation with high moral values
139
What is the age limit for a Registered Master Electrician (RME)?
18
140
What does the acronym RAM stand for?
Random Access Memory
141
Fill in the blank: The law that regulates energy efficiency in the Philippines is known as the ______.
Energy Efficiency and Conservation Act
142
What is the term for the establishment for production and modification of energy?
Electric plant
143
What does IRR stand for?
Implementing Rules and Regulation
144
What is the Lifeline Rate abbreviated as?
LR
145
What does MAP represent in the context of electricity pricing?
Maximum Average Price
146
What does MAR refer to?
Maximum Annual Revenue
147
What is NEA an abbreviation for?
National Electrification Administration
148
What organization is represented by the acronym NGCP?
National Grid Corporation of the Philippines
149
What does NPC stand for?
National Power Corporation
150
What does NPC-SPUG mean?
National Power Corporation-Small Power Utilities Group
151
What does NREB stand for?
National Renewable Energy Board
152
What does O&M represent?
Operation and Maintenance
153
What is PBR an abbreviation of?
Performance Based Regulation
154
What does PDC stand for?
Philippine Distribution Code
155
What is the Philippine Electrical Code abbreviated as?
PEC
156
What does PEMC represent?
Philippine Electricity Market Corporation
157
What is PPD in the context of electricity billing?
Prompt Payment Discount
158
What does PSA stand for?
Power Supply Agreement
159
What is PSALM an abbreviation for?
Power Sector Assets and Liabilities Management
160
What does RCOA mean?
Retail Competition and Open Access
161
What does RDWR stand for?
Rules for Setting Distribution Wheeling Rates
162
What is the term for Renewable Energy abbreviated as?
RE
163
What does REPA stand for?
Renewable Energy Payment Agreement
164
What does RES represent?
Retail Electricity Supplier
165
What does RESA stand for?
Renewal Energy Supply Agreement
166
What does RORB mean?
Return on Rate Base
167
What is the abbreviation for Regulatory Period?
RP
168
What does RSC stand for?
Retail Supply Contract
169
What does RSEC-WR represent?
Rules for Setting the Electric Cooperatives' Wheeling Rates
170
What does RTWR mean?
Rules for Setting Transmission Wheeling Rates
171
What organization is represented by the acronym SGC?
Successor Generating Company
172
What does SLR stand for?
System Loss Rate
173
What does SOLR mean?
Supplier of Last Resort
174
What does SPUG stand for?
Small Power Utilities Group
175
What does TCGR represent?
True Cost Generation Rate
176
What is the abbreviation for Transmission Rate?
TR
177
What organization is indicated by the acronym TRANSCO?
National Transmission Corporation
178
What does TSC stand for?
Transition Supply Contract
179
What does TWRG represent?
Transmission Wheeling Rates Guidelines
180
What is the Universal Charge abbreviated as?
UC
181
What does UCME mean?
Universal Charge - Missionary Electrification
182
What is WACC an abbreviation for?
Weighted Average Cost of Capital
183
What does WESM stand for?
Wholesale Electricity Spot Market
