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Worksheets

ROLD 2

Total questions: 129

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

How do call an energy required to move 1 Coulomb of charge through an element.

a)

Current

b)

Voltage

c)

Power

d)

Resonance

2.

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?

a)

Euler’s number

b)

Fermat number

c)

Fibonacci number

d)

Fourier series

3.

Determine the sum of the coefficient of the variables in the expression (2x + 3y–z)8.

a)

65 536

b)

56 563

c)

63 655

d)

66 535

4.

If the roots of an equation are zero, then, how do you classify the solutions?

a)

Extranous solutions

b)

Trivial solutions

c)

Conditional solutions

d)

Ambiguous solutions

5.

Find the voltage drop to move 2 C of charge from point a to point b that requires–30 Joules of energy.

a)

–15 V

b)

+ 15 V

c)

–5 V

d)

+ 5 V

6.

This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?

a)

Decomposition

b)

Rationalization

c)

Factoring

d)

Polynomial damping

7.

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?

a)

Maximum point

b)

Minimum point

c)

Point of tangency

d)

Point of inflection

8.

How do you call the axis of the hyperbola that passes through the center, the foci and vertices?

a)

Transverse axis

b)

Conjugate Axis

c)

Asymptotic axis

d)

Major Axis

9.

How many permutations can be made out of the letters in the word DIEGO taken 3 at a time?

a)

50 ways

b)

60 ways

c)

120 ways

d)

80 ways

10.

What is the temperature in degrees Celsius of a molecule at absolute zero?

a)

0 oC

b)

–273 oC

c)

–32 oC

d)

273 oC

11.

If at an angle measures x degrees, what is the measure in radians?

a)

(π/180)x

b)

(180/π)x

c)

180/π

d)

(180π)/x

12.

In electricity, how do you call the rate of charge flow?

a)

Potential difference

b)

Current

c)

Voltage

d)

Power

13.

What is a number, which could not be expressed as a quotient of two integers?

a)

Natural

b)

Rational

c)

Irrational

d)

Surd

14.

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?

a)

Kirchhoff’s Law

b)

Ohm’s Law

c)

Ampere’s Law

d)

Gauss’ Law

15.

How do you call an angle that is greater than 180 degree but less than 360 degrees?

a)

Complex

b)

Reflex

c)

Obtuse

d)

Exterior

16.

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?

a)

Kirrchoff’s current law

b)

Ohm’s current law

c)

Kirchhoff’s voltage law

d)

Ohm’s voltage law

17.

How do you call the opposite of the prefix nano?

a)

Peta

b)

Tera

c)

Giga

d)

Hexa

18.

What do you call a triangle having three unequal sides?

a)

Obtuse

b)

Oblique

c)

Scalene

d)

Isosceles

19.

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?

a)

50

b)

100

c)

500

d)

900

20.

what is the value of z?

a)

0.453

b)

0.618

c)

0.816

d)

0.681

21.

Solve for the value of x from the following equation:

a)

1.258925

b)

1.892525

c)

1.85925

d)

1.528925

22.

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?

a)

Kirrchoff’s current law

b)

Ohm’s current law

c)

Kirchhoff’s voltage law

d)

Ohm’s voltage law

23.

How do you call the distance of a point from the y-axis?

a)

Polar distance

b)

Coordinate

c)

Abscissa

d)

Ordinate

24.

In electricity, it is an ability of an element to resist the flow of current. What is this?

a)

Resonance

b)

Conductance

c)

Inductance

d)

Resistance

25.

In electrical circuits, how do you call the reciprocal of resistance?

a)

Resonance

b)

Conductance

c)

Inductance

d)

Resistance

26.

In electrical, what is the SI unit of conductance?

a)

Ohm

b)

Mho

c)

Siemens

d)

Ampere

27.

If 4y = 3x, then, what is the value of (3x^2)/(4y^2)?

a)

3/4

b)

4/3

c)

3/2

d)

2/3

28.

Which of the following is the equivalent of 1Ampere?

a)

1 Coulomb per second

b)

1 Joule per Coulomb

c)

1 Volt per Ampere

d)

1 Ampere per Coulomb

29.

This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency?

a)

Median

b)

Mode

c)

Mean

d)

Deviation

30.
a)

6

b)

9

c)

5

d)

7

31.

What is the logarithm of a negative number?

a)

Complex number

b)

Real number

c)

Irrational number

d)

Imaginary number

32.

Which of the following is the equivalent of 1 mil?

a)

One-tenth of an inch

b)

One-thousandth of an inch

c)

One millionth of an inch

d)

One-half of an inch

33.

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?

a)

Ambiguous case

b)

Quadratic case

c)

Extraneous case

d)

Conditional case

34.

What is the value of k to make the expression Ax^2 – Bkx + 9 a perfect square?

a)

2

b)

4

c)

3

d)

5

35.

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?

a)

Concave Polygon

b)

Convex polygon

c)

Regular polygon

d)

Irregular polygon

36.

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?

a)

15 yrs old

b)

18 yrs old

c)

12 yrs old

d)

16 yrs old

37.

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.

a)

Radius

b)

Apothem

c)

Circumradius

d)

Inradius

38.

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.

a)

4:3

b)

5:3

c)

3:2

d)

8:3

39.

Which of the following is the equivalent of one circular mil?

a)

b)

(2) 0.01/4π

c)

(2) 0.0001/4π

d)

(2) 0.00001/4π

40.

How do you call a method of describing a set where the elements are separated by commas and enclosed by braces?

a)

Tabular or roster form

b)

Equal form

c)

Rule form

d)

Equivalent form

41.

Which of the following is the equivalent of the expression 2Log_b(6)–Log_b(4)?

a)

2Log_b(3)

b)

3Log_b(2)

c)

2Log_b(2)

d)

3Log_b(3)

42.

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?

a)

Deferred annuity

b)

Delayed annuity

c)

Progressive annuity

d)

Simple annuity

43.

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?

a)

20

b)

25

c)

15

d)

22.5

44.

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?

a)

11

b)

8

c)

9

d)

10

45.

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?

a)

3:06.36

b)

3:03.66

c)

3:36.06

d)

3:30.66

46.

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?

a)

Fair value

b)

Goodwill value

c)

Book value

d)

Market value

47.

Determine the diameter of a circle, 0 = 12y^2 - 4x^2 + 6y - x.

a)

9 units

b)

11 units

c)

12 units

d)

10 units

48.

What is the minimum point of x1xy+ = ?

a)

(1, 2)

b)

(1.5, 2)

c)

(1, 1.5)

d)

(2, 1)

49.

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.

a)

½

b)

1.75

c)

1.5

d)

2

50.

What is the simple interest rate if an investment of P37,500.00 accumulates to P45,937.5 in 18 months?

a)

0.15

b)

0.2

c)

0.21

d)

0.3

51.

What do you think is the negotiation of wage rates, conditions of employment, etc. by representatives of the labor force and management?

a)

Union trade

b)

Union rally

c)

Collective bargaining

d)

Cooperative

52.

What is the value of

a)

0

b)

0.25

c)

1.25

d)

indeterminate

53.

What is the present value of P5,000.00 due in 8 years if money is worth 12% compounded semi-annually?

a)

P1,896.23

b)

P1,869.23

c)

P1,698.23

d)

P1,968.23

54.

This is a type of bond whose guaranty is in lieu on railroad equipment. What is this type of bond?

a)

Equipment

b)

Debenture bond

c)

Registered bond

d)

Infrastructure bond

55.

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?

a)

Registered bond

b)

Preferred bond

c)

Incorporator’s bond

d)

Bail bond

56.

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.

a)

852

b)

285

c)

825

d)

582

57.

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?

a)

225 km

b)

522 km

c)

252 km

d)

215 km

58.

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.

a)

12

b)

18

c)

14

d)

16

59.

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?

a)

15 %

b)

20 %

c)

16 %

d)

12 %

60.

How many terms of the sequence–9,-6,-3, ... must be taken so that the sum is 66?

a)

11

b)

6

c)

4

d)

9

61.

There are 6 geometric means between 4 and 8748. Find the sum of all terms.

a)

12 310

b)

12 130

c)

13 210

d)

13 120

62.

How many permutation can be made out of the letters of the word ENGINEERING?

a)

277 200

b)

272 700

c)

200 277

d)

227 700

63.

A bag contains 3 white and 5 red balls. If two balls are drawn at random, find the probability that both are white.

a)

0.375

b)

0.10714

c)

0.46667

d)

0.28571

64.

Determine the absolute value of the complex number 3 + 4i.

a)

4

b)

5

c)

8

d)

6

65.

Simplify i1997 + i1999, where I is an imaginary number.

a)

0

b)

i

c)

1 + i

d)

1 - i

66.

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.

a)

60°

b)

30°

c)

90°

d)

40°

67.

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.

a)

50

b)

30

c)

45

d)

40

68.

How do you call the integral of any quotient whose numerator is the differential of the denominator?

a)

Co-logarithm

b)

Logarithm

c)

Product

d)

Derivative

69.

If a = b, then b = a. This illustrates of which of the following axioms in algebra?

a)

Transitive axiom

b)

Reflexive axiom

c)

Replacement axiom

d)

Symmetric axiom

70.

What is a regular polygon that has 27 diagonals?

a)

Nonagon

b)

Hexagon

c)

Pentagon

d)

Heptagon

71.

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?

a)

Matheson formula

b)

Diophantine formula

c)

Richardson-Duchman formula

d)

Stirling’s Approximation

72.

What is the reason why an ivory soap floats in water?

a)

All matter has mass

b)

The specific gravity of ivory soap is greater than that of water

c)

The density of ivory soap is unity

d)

The specific gravity of ivory soap is less than that of water

73.

If the product of the slopes of any two straight lines is negative 1, one of these lines is said to be:

a)

Parallel

b)

Perpendicular

c)

Skew

d)

Non-intersecting

74.

When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:

a)

Reflex angle

b)

Dihedral angle

c)

Polyhedral angle

d)

Plane angle

75.

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.

a)

Utilities

b)

Necessities

c)

Luxuries

d)

Producer goods and services

76.

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:

a)

Angle of elevation

b)

Acute angle

c)

Angle of depression

d)

Bearing

77.

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?

a)

Euler’s number

b)

Fermat number

c)

Fibonacci number

d)

Fourier series

78.

If the roots of an equation are zero, then, how do you classify the solutions?

a)

Extraneous solutions

b)

Trivial solutions

c)

Conditional solutions

d)

Ambiguous solutions

79.

This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?

a)

Decomposition

b)

Rationalization

c)

Factoring

d)

Polynomial damping

80.

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?

a)

Maximum point

b)

Minimum point

c)

Point of tangency

d)

Point of inflection

81.

How do you call the axis of the hyperbola that passes through the center, the foci and vertices?

a)

Transverse axis

b)

Conjugate Axis

c)

Asymptotic axis

d)

Major Axis

82.

What is a number, which could not be expressed as a quotient of two integers?

a)

Natural

b)

Rational

c)

Irrational

d)

Surd

83.

How do you call an angle that is greater than 180 degree but less than 360 degrees?

a)

Complex

b)

Reflex

c)

Obtuse

d)

Exterior

84.

What do you call a triangle having three unequal sides?

a)

Obtuse

b)

Oblique

c)

Scalene

d)

Isosceles

85.

How do you call the distance of a point from the y-axis?

a)

Polar distance

b)

Coordinate

c)

Abscissa

d)

Ordinate

86.

This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency?

a)

Median

b)

Mode

c)

Mean

d)

Deviation

87.

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?

a)

Ambiguous case

b)

Quadratic case

c)

Extraneous case

d)

Conditional case

88.

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?

a)

Triangular numbers

b)

Tetrahedral numbers

c)

Cubic numbers

d)

Pyramidal numbers

89.

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?

a)

Mathematical induction

b)

Mathematical deduction

c)

Mathematical conversion

d)

Mathematical inversion

90.

What is a solid bounded by the spherical zone and the planes of the zone’s base?

a)

Spherical wedge

b)

Spherical solid

c)

Spherical triangle

d)

Spherical segment

91.

How do you call the line passing through the focus and perpendicular to the directrix of a parabola?

a)

Latus rectum

b)

Axis of the parabola

c)

Transverse axis

d)

Major axis

92.

What is the ratio of the distance between the foci to the distance between the vertices in either hyperbola or ellipse?

a)

Eccentricity

b)

Latus rectum

c)

Variance

d)

Deviation

93.

It is a statement that one mathematical expression is greater than or less than another. How do you call this?

a)

Conditional expression

b)

Inequality

c)

Interval

d)

Domain

94.

What is the point of concurrency of the altitude of a triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

95.

What is the logarithm of a number to have a base e=2.718...?

a)

Briggsian logarithm

b)

Naperian logarithm

c)

Cologarithm

d)

Mantissa

96.

What is a process of finding maximum or minimum values of a linear function under limiting conditions or constraints?

a)

Iteration

b)

Linear programming

c)

Differentiation

d)

Integration

97.

Which of the following items classified a polygon?

a)

Angles

b)

Diagonals

c)

Sides

d)

Number of nodes

98.

When a line y = mx + b slopes downwards from left to right, the slope m is:

a)

Less than zero

b)

Greater than zero

c)

Equal to zero

d)

Equal to 1

99.

The ratio between the quick assets to the current liabilities

a)

Acid test ratio

b)

Current ratio

c)

Working amount

d)

Marginal ratio

100.

It is the additional cost of producing one more unit of a product.

a)

Sunk cost

b)

Marginal ratio

c)

Variable cost

d)

Fixed cost

101.

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?

a)

Safety stock

b)

Safety allowance

c)

Tolerance stock

d)

None of these

102.

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?

a)

Consequent

b)

Minuend

c)

Augend

d)

Dividend

103.

What is a pair of angles when added together will be equal to 360°?

a)

Supplementary angle

b)

Conjugate angle

c)

Complimentary angle

d)

Explimentary angle

104.

What is a line segment joining a vertex of a triangle to a point on the opposite side?

a)

Cevian

b)

Secant

c)

Euclidian line

d)

Newton’s line

105.

How do you call a cylinder with elliptical cross section?

a)

Ellipsoid

b)

Cylindroid

c)

Hyperboloid

d)

Paraboloid

106.

For a given function, it is found that f(t) = f(-t). What type of symmetry does f(t) have?

a)

Odd Symmetry

b)

Even Symmetry

c)

Rotational Symmetry

d)

Quarter-wave Symmetry

107.

Which is true regarding the signs of the natural functions for angles between 90° and 180°?

a)

The tangent is positive

b)

The cotangent is positive

c)

The cosine is negative

d)

The sine is negative

108.

What is the inverse natural function of the cosecant?

a)

Secant

b)

Sine

c)

Cosine

d)

Tangent

109.

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)

A cycloid

b)

An epicycloid

c)

A hypocycloid

d)

A helix

110.

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?

a)

6 liters

b)

8 liters

c)

10 liters

d)

12 liters

111.

How do you call the area bounded by two concentric circles?

a)

Disk

b)

Annulus

c)

Ring

d)

Sector

112.

Determine, which of the following is incorrect between lease and outright purchase of equipment?

a)

Leasing fees needed working capital

b)

Leasing reduces maintenance and administrative expenses

c)

Leasing offers certain tax advantages

d)

Leasing offers less flexibility with respect to technical obsolescence.

113.

What do you call the replacement of the original cost of an investment?

a)

Pay off

b)

Return on investment

c)

Break even

d)

Capital recovery

114.

What do you think is the output or sales at which income is insufficient to equal operating cost?

a)

Break even point

b)

Depreciation

c)

Investment

d)

Cash flow

115.

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?

a)

Depletion

b)

Amortization

c)

Depreciation

d)

Investment

116.

How do you call the integral of any quotient whose numerator is the differential of the denominator?

a)

Co-logarithm

b)

Logarithm

c)

Product

d)

Derivative

117.

If a = b, then b = a. This illustrates of which of the following axioms in algebra?

a)

Transitive axiom

b)

Reflexive axiom

c)

Replacement axiom

d)

Symmetric axiom

118.

What is a regular polygon that has 27 diagonals?

a)

Nonagon

b)

Hexagon

c)

Pentagon

d)

Heptagon

119.

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?

a)

Matheson formula

b)

Diophantine formula

c)

Richardson-Duchman formula

d)

Stirling’s Approximation

120.

What is the reason why an ivory soap floats in water?

a)

All matter has mass

b)

The specific gravity of ivory soap is greater than that of water

c)

The density of ivory soap is unity

d)

The specific gravity of ivory soap is less than that of water

121.

If the product of the slopes of any two straight lines is negative 1, one of these lines is said to be:

a)

Parallel

b)

Perpendicular

c)

Skew

d)

Non-intersecting

122.

When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:

a)

Reflex angle

b)

Dihedral angle

c)

Polyhedral angle

d)

Plane angle

123.

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.

a)

Utilities

b)

Necessities

c)

Luxuries

d)

Producer goods and services

124.

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:

a)

Angle of elevation

b)

Acute angle

c)

Angle of depression

d)

Bearing

125.

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?

a)

Euler’s number

b)

Fermat number

c)

Fibonacci number

d)

Fourier series

126.

If the roots of an equation are zero, then, how do you classify the solutions?

a)

Extraneous solutions

b)

Trivial solutions

c)

Conditional solutions

d)

Ambiguous solutions

127.

This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?

a)

Decomposition

b)

Rationalization

c)

Factoring

d)

Polynomial damping

128.

Which of the following is true regarding the minimum attractive rate of return used in judging proposed investments?

a)

It is much smaller than the interest rate used to discount expected cash flows from investments

b)

It is frequently a policy decision made by an organization’s management

c)

It is larger than the interest rate used to discount expected cash flow from investments

d)

It is larger than the interest rate used to discount expected cash flow from investments

129.

Which of the following situations has a conventional cash flow so that an internal rate of return can be safely calculated and used?

a)

Your company undertakes a mining project in which the land must be reclaimed at the end of the project.

b)

You invest in a safe dividendstock and receive dividends each year

c)

You lease a car and pay by the month

d)

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