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WorksheetsROLD 2
Total questions: 129
Worksheet time: 1hrs 5mins
How do call an energy required to move 1 Coulomb of charge through an element.
Current
Voltage
Power
Resonance
This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as the sequence (1, 1, 2, ,3 5, 8 ...). How do you call this number sequence?
Euler’s number
Fermat number
Fibonacci number
Fourier series
Determine the sum of the coefficient of the variables in the expression (2x + 3y–z)8.
65 536
56 563
63 655
66 535
If the roots of an equation are zero, then, how do you classify the solutions?
Extranous solutions
Trivial solutions
Conditional solutions
Ambiguous solutions
Find the voltage drop to move 2 C of charge from point a to point b that requires–30 Joules of energy.
–15 V
+ 15 V
–5 V
+ 5 V
This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?
Decomposition
Rationalization
Factoring
Polynomial damping
This is a point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing. What is this point commonly called?
Maximum point
Minimum point
Point of tangency
Point of inflection
How do you call the axis of the hyperbola that passes through the center, the foci and vertices?
Transverse axis
Conjugate Axis
Asymptotic axis
Major Axis
How many permutations can be made out of the letters in the word DIEGO taken 3 at a time?
50 ways
60 ways
120 ways
80 ways
What is the temperature in degrees Celsius of a molecule at absolute zero?
0 oC
–273 oC
–32 oC
273 oC
If at an angle measures x degrees, what is the measure in radians?
(π/180)x
(180/π)x
180/π
(180π)/x
In electricity, how do you call the rate of charge flow?
Potential difference
Current
Voltage
Power
What is a number, which could not be expressed as a quotient of two integers?
Natural
Rational
Irrational
Surd
This law states, “The voltage, v, across a resistor is directly proportional to the current,i, flowing through the resistor”. How do you call this law?
Kirchhoff’s Law
Ohm’s Law
Ampere’s Law
Gauss’ Law
How do you call an angle that is greater than 180 degree but less than 360 degrees?
Complex
Reflex
Obtuse
Exterior
This law in electrical circuits states, “The algebraic sum of currents entering a node (or a closed boundary) is zero”. How do you call this law?
Kirrchoff’s current law
Ohm’s current law
Kirchhoff’s voltage law
Ohm’s voltage law
How do you call the opposite of the prefix nano?
Peta
Tera
Giga
Hexa
What do you call a triangle having three unequal sides?
Obtuse
Oblique
Scalene
Isosceles
An area of 25.6 cm2 on the map represents a lot having an area of 640 m2. If the scale on the map is 1:x, what is the value of x?
50
100
500
900
what is the value of z?
0.453
0.618
0.816
0.681
Solve for the value of x from the following equation:
1.258925
1.892525
1.85925
1.528925
This law in electrical circuits state, “The algebraic sum of all voltages around a closed path (or loop) is zero”. How do you call this law?
Kirrchoff’s current law
Ohm’s current law
Kirchhoff’s voltage law
Ohm’s voltage law
How do you call the distance of a point from the y-axis?
Polar distance
Coordinate
Abscissa
Ordinate
In electricity, it is an ability of an element to resist the flow of current. What is this?
Resonance
Conductance
Inductance
Resistance
In electrical circuits, how do you call the reciprocal of resistance?
Resonance
Conductance
Inductance
Resistance
In electrical, what is the SI unit of conductance?
Ohm
Mho
Siemens
Ampere
If 4y = 3x, then, what is the value of (3x^2)/(4y^2)?
3/4
4/3
3/2
2/3
Which of the following is the equivalent of 1Ampere?
1 Coulomb per second
1 Joule per Coulomb
1 Volt per Ampere
1 Ampere per Coulomb
This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency?
Median
Mode
Mean
Deviation
6
9
5
7
What is the logarithm of a negative number?
Complex number
Real number
Irrational number
Imaginary number
Which of the following is the equivalent of 1 mil?
One-tenth of an inch
One-thousandth of an inch
One millionth of an inch
One-half of an inch
This is the case of a solution of a plane triangle where the given data leads to two solutions. How do you call this case?
Ambiguous case
Quadratic case
Extraneous case
Conditional case
What is the value of k to make the expression Ax^2 – Bkx + 9 a perfect square?
2
4
3
5
It is a type of polygon in which each interior angle must be less than or equal to 180°, and all vertices 'point outwards' away from the interior. How do you call this polygon?
Concave Polygon
Convex polygon
Regular polygon
Irregular polygon
Two times the mother’s age is 8 more than six times her daughter’s age. Ten years ago, the sum of their ages was 44. What is the daughter’s age?
15 yrs old
18 yrs old
12 yrs old
16 yrs old
How do you call a line segment from the center of a regular polygon to the midpoint of a side? It is also called as inradius, the radius of an incircle.
Radius
Apothem
Circumradius
Inradius
If the daily wage of CPM and a Plumber are in the ratio 2:1. In a day, a CPM has to work 8 hrs but the Plumber only 6 hrs. Determine the ratio of their hour wages.
4:3
5:3
3:2
8:3
Which of the following is the equivalent of one circular mil?
(2) 0.01/4π
(2) 0.0001/4π
(2) 0.00001/4π
How do you call a method of describing a set where the elements are separated by commas and enclosed by braces?
Tabular or roster form
Equal form
Rule form
Equivalent form
Which of the following is the equivalent of the expression 2Log_b(6)–Log_b(4)?
2Log_b(3)
3Log_b(2)
2Log_b(2)
3Log_b(3)
It is a series of equal payments occurring at equal intervals of time where the first payment is made after several periods, after the beginning of the payment. How do you call this payment?
Deferred annuity
Delayed annuity
Progressive annuity
Simple annuity
A 100-kg salt solution originally 4 % by weight salt in water is boiled to reduce water content until the concentration is 5 % by weight salt. How much water is evaporated?
20
25
15
22.5
Tukmol can paint a fence of 50 % faster than Kikoy and 20 % faster than Tiburcio and together they can paint a given fence in 4 hours. How long will it take Tukmol to paint the same fence if he had to work alone?
11
8
9
10
It is now between 3 and 4 o’clock and twenty minutes the minute hand will be as much as the hour-hand as it is now behind it. What is the time now?
3:06.36
3:03.66
3:36.06
3:30.66
This is the amount of a property in which a willing buyer will pay to a willing seller for the property when neither one is under the compulsion to buy or sell. What do you call this value?
Fair value
Goodwill value
Book value
Market value
Determine the diameter of a circle, 0 = 12y^2 - 4x^2 + 6y - x.
9 units
11 units
12 units
10 units
What is the minimum point of x1xy+ = ?
(1, 2)
(1.5, 2)
(1, 1.5)
(2, 1)
The volume of the cube is increasing at a rate of 5 cu. m per minute. Determine the rate at which the surface area is increasing, in m2/min, when its side is 10 m.
½
1.75
1.5
2
What is the simple interest rate if an investment of P37,500.00 accumulates to P45,937.5 in 18 months?
0.15
0.2
0.21
0.3
What do you think is the negotiation of wage rates, conditions of employment, etc. by representatives of the labor force and management?
Union trade
Union rally
Collective bargaining
Cooperative
What is the value of
0
0.25
1.25
indeterminate
What is the present value of P5,000.00 due in 8 years if money is worth 12% compounded semi-annually?
P1,896.23
P1,869.23
P1,698.23
P1,968.23
This is a type of bond whose guaranty is in lieu on railroad equipment. What is this type of bond?
Equipment
Debenture bond
Registered bond
Infrastructure bond
How do you call a type of bond where the corporation’s owner name is recorded and the interest is paid periodically to the owners with their asking for it?
Registered bond
Preferred bond
Incorporator’s bond
Bail bond
Twice the middle digit of a three-digit number is the sum of the other two. If the number is divided by the sum of its digit, the answer is 56 and the remainder is 12. If the digits are reversed, the number becomes smaller by 594. Find the number.
852
285
825
582
A man left Sta. Rosa City to drive to Lopez, Quezon at 6:15 pm and arrived at 11:45 pm. If he averaged 50 kph and stopped 1 hour for dinner, how far is Lopez, Quezon from Sta. Rosa City?
225 km
522 km
252 km
215 km
If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find the value of x when z = 4 and y = 16.
12
18
14
16
Lucy sold 100-pirated DVD. Eighty of them were sold at a profit of 30 % while the rest were sold at a loss of 40 %. What is the percentage gain or loss on the whole stock?
15 %
20 %
16 %
12 %
How many terms of the sequence–9,-6,-3, ... must be taken so that the sum is 66?
11
6
4
9
There are 6 geometric means between 4 and 8748. Find the sum of all terms.
12 310
12 130
13 210
13 120
How many permutation can be made out of the letters of the word ENGINEERING?
277 200
272 700
200 277
227 700
A bag contains 3 white and 5 red balls. If two balls are drawn at random, find the probability that both are white.
0.375
0.10714
0.46667
0.28571
Determine the absolute value of the complex number 3 + 4i.
4
5
8
6
Simplify i1997 + i1999, where I is an imaginary number.
0
i
1 + i
1 - i
The sum of the two interior angles of the triangle is equal to the third angle and the difference of the two angles is equal to 2/3 of the 3rd angle. Find the 3rd angle.
60°
30°
90°
40°
Evaluate the integral of (3x^2 + 9y^2)dxdy if the interior limit has an upper limit of y and a lower limit of 0, and whose outer limit has an upper limit of 2 and lower limit of 0.
50
30
45
40
How do you call the integral of any quotient whose numerator is the differential of the denominator?
Co-logarithm
Logarithm
Product
Derivative
If a = b, then b = a. This illustrates of which of the following axioms in algebra?
Transitive axiom
Reflexive axiom
Replacement axiom
Symmetric axiom
What is a regular polygon that has 27 diagonals?
Nonagon
Hexagon
Pentagon
Heptagon
How do you call the formula used to compute the value of n factorial, which is in symbolic form (n!), where n is large number?
Matheson formula
Diophantine formula
Richardson-Duchman formula
Stirling’s Approximation
What is the reason why an ivory soap floats in water?
All matter has mass
The specific gravity of ivory soap is greater than that of water
The density of ivory soap is unity
The specific gravity of ivory soap is less than that of water
If the product of the slopes of any two straight lines is negative 1, one of these lines is said to be:
Parallel
Perpendicular
Skew
Non-intersecting
When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:
Reflex angle
Dihedral angle
Polyhedral angle
Plane angle
These are product or services that are required to support human life and activities, that will be purchased in somewhat the same quantity even though the price varies considerably.
Utilities
Necessities
Luxuries
Producer goods and services
The angle which the line of sight to the object makes with the horizontal which is above the eye of the observer is called as:
Angle of elevation
Acute angle
Angle of depression
Bearing
This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as the sequence (1, 1, 2, 3, 5, 8 ...). How do you call this number sequence?
Euler’s number
Fermat number
Fibonacci number
Fourier series
If the roots of an equation are zero, then, how do you classify the solutions?
Extraneous solutions
Trivial solutions
Conditional solutions
Ambiguous solutions
This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?
Decomposition
Rationalization
Factoring
Polynomial damping
This is a point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing. What is this point commonly called?
Maximum point
Minimum point
Point of tangency
Point of inflection
How do you call the axis of the hyperbola that passes through the center, the foci and vertices?
Transverse axis
Conjugate Axis
Asymptotic axis
Major Axis
What is a number, which could not be expressed as a quotient of two integers?
Natural
Rational
Irrational
Surd
How do you call an angle that is greater than 180 degree but less than 360 degrees?
Complex
Reflex
Obtuse
Exterior
What do you call a triangle having three unequal sides?
Obtuse
Oblique
Scalene
Isosceles
How do you call the distance of a point from the y-axis?
Polar distance
Coordinate
Abscissa
Ordinate
This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency?
Median
Mode
Mean
Deviation
This is the case of a solution of a plane triangle where the given data leads to two solutions. How do you call this case?
Ambiguous case
Quadratic case
Extraneous case
Conditional case
This is a sequence of numbers where every term is obtained by adding the squares of all preceding terms such as (1, 5, 14, 30, 55...). How do you call this numbers?
Triangular numbers
Tetrahedral numbers
Cubic numbers
Pyramidal numbers
It is a process of reasoning wherein other conclusions or formulas are obtained or derived by mathematical manipulations of previously proven theorems or formulas. How do you call this process?
Mathematical induction
Mathematical deduction
Mathematical conversion
Mathematical inversion
What is a solid bounded by the spherical zone and the planes of the zone’s base?
Spherical wedge
Spherical solid
Spherical triangle
Spherical segment
How do you call the line passing through the focus and perpendicular to the directrix of a parabola?
Latus rectum
Axis of the parabola
Transverse axis
Major axis
What is the ratio of the distance between the foci to the distance between the vertices in either hyperbola or ellipse?
Eccentricity
Latus rectum
Variance
Deviation
It is a statement that one mathematical expression is greater than or less than another. How do you call this?
Conditional expression
Inequality
Interval
Domain
What is the point of concurrency of the altitude of a triangle?
Centroid
Incenter
Orthocenter
Circumcenter
What is the logarithm of a number to have a base e=2.718...?
Briggsian logarithm
Naperian logarithm
Cologarithm
Mantissa
What is a process of finding maximum or minimum values of a linear function under limiting conditions or constraints?
Iteration
Linear programming
Differentiation
Integration
Which of the following items classified a polygon?
Angles
Diagonals
Sides
Number of nodes
When a line y = mx + b slopes downwards from left to right, the slope m is:
Less than zero
Greater than zero
Equal to zero
Equal to 1
The ratio between the quick assets to the current liabilities
Acid test ratio
Current ratio
Working amount
Marginal ratio
It is the additional cost of producing one more unit of a product.
Sunk cost
Marginal ratio
Variable cost
Fixed cost
What is the quantity in addition to the economic order quantity used to anticipate sudden change of demand and the delay of the ordered quantity?
Safety stock
Safety allowance
Tolerance stock
None of these
The ratio of a number is 4:7 where number 4 is referred to as the antecedent. How do you call number 7 in this ratio?
Consequent
Minuend
Augend
Dividend
What is a pair of angles when added together will be equal to 360°?
Supplementary angle
Conjugate angle
Complimentary angle
Explimentary angle
What is a line segment joining a vertex of a triangle to a point on the opposite side?
Cevian
Secant
Euclidian line
Newton’s line
How do you call a cylinder with elliptical cross section?
Ellipsoid
Cylindroid
Hyperboloid
Paraboloid
For a given function, it is found that f(t) = f(-t). What type of symmetry does f(t) have?
Odd Symmetry
Even Symmetry
Rotational Symmetry
Quarter-wave Symmetry
Which is true regarding the signs of the natural functions for angles between 90° and 180°?
The tangent is positive
The cotangent is positive
The cosine is negative
The sine is negative
What is the inverse natural function of the cosecant?
Secant
Sine
Cosine
Tangent
What type of curve is generated by a point, which moves in uniform circular motion about an axis, while traveling with a constant speed, V, parallel to the axis?
A cycloid
An epicycloid
A hypocycloid
A helix
Forty liters of a 60% salt solution are produced to a 45% solution. How much solution must be drained off and replaced with distilled water so that the resulting solution contains only 45% solution?
6 liters
8 liters
10 liters
12 liters
How do you call the area bounded by two concentric circles?
Disk
Annulus
Ring
Sector
Determine, which of the following is incorrect between lease and outright purchase of equipment?
Leasing fees needed working capital
Leasing reduces maintenance and administrative expenses
Leasing offers certain tax advantages
Leasing offers less flexibility with respect to technical obsolescence.
What do you call the replacement of the original cost of an investment?
Pay off
Return on investment
Break even
Capital recovery
What do you think is the output or sales at which income is insufficient to equal operating cost?
Break even point
Depreciation
Investment
Cash flow
What do you think is the lessening of the value of an asset due to a decrease in the quantity available as a coal, oil and timber in forests?
Depletion
Amortization
Depreciation
Investment
How do you call the integral of any quotient whose numerator is the differential of the denominator?
Co-logarithm
Logarithm
Product
Derivative
If a = b, then b = a. This illustrates of which of the following axioms in algebra?
Transitive axiom
Reflexive axiom
Replacement axiom
Symmetric axiom
What is a regular polygon that has 27 diagonals?
Nonagon
Hexagon
Pentagon
Heptagon
How do you call the formula used to compute the value of n factorial, which is in symbolic form (n!), where n is large number?
Matheson formula
Diophantine formula
Richardson-Duchman formula
Stirling’s Approximation
What is the reason why an ivory soap floats in water?
All matter has mass
The specific gravity of ivory soap is greater than that of water
The density of ivory soap is unity
The specific gravity of ivory soap is less than that of water
If the product of the slopes of any two straight lines is negative 1, one of these lines is said to be:
Parallel
Perpendicular
Skew
Non-intersecting
When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:
Reflex angle
Dihedral angle
Polyhedral angle
Plane angle
These are product or services that are required to support human life and activities, that will be purchased in somewhat the same quantity even though the price varies considerably.
Utilities
Necessities
Luxuries
Producer goods and services
The angle which the line of sight to the object makes with the horizontal which is above the eye of the observer is called as:
Angle of elevation
Acute angle
Angle of depression
Bearing
This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as the sequence (1, 1, 2, 3, 5, 8 ...). How do you call this number sequence?
Euler’s number
Fermat number
Fibonacci number
Fourier series
If the roots of an equation are zero, then, how do you classify the solutions?
Extraneous solutions
Trivial solutions
Conditional solutions
Ambiguous solutions
This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?
Decomposition
Rationalization
Factoring
Polynomial damping
Which of the following is true regarding the minimum attractive rate of return used in judging proposed investments?
It is much smaller than the interest rate used to discount expected cash flows from investments
It is frequently a policy decision made by an organization’s management
It is larger than the interest rate used to discount expected cash flow from investments
It is larger than the interest rate used to discount expected cash flow from investments
Which of the following situations has a conventional cash flow so that an internal rate of return can be safely calculated and used?
Your company undertakes a mining project in which the land must be reclaimed at the end of the project.
You invest in a safe dividendstock and receive dividends each year
You lease a car and pay by the month
Your company invests heavily in a new product that will generate profits for two years. To keep profits high for 10 years, the company plans to reinvest heavily after two years
