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2019 Plumbing Arithmetic

Total questions: 60

Worksheet time: 30mins

Name
Class
Date
1.

Gross profit, sale less cost of good sold, as a percentage of a sales is ___.

a)

rate of return

b)

gross margin

c)

net income

d)

profit margin

2.

If the hypotenuse of the triangle is 100 cm, and the one side is 10cm longer than the other, what is the length of the shorter leg?

a)

65.35 cm

b)

56.53 cm

c)

63.55 cm

d)

65.53 cm

3.

What is the worth of the property as shown in the accounting records of an enterprise.

a)

use value

b)

book value

c)

market value

d)

fair value

4.

If the acceleration due to earth gravity were suddenly doubled which of the following would not happened?

a)

Some objects that float on water would sink

b)

a 150-N object w2ould weigh 300 N

c)

a car going up a slope would slow down.

d)

a high jumper would be able to jump once half of the present record.

5.

A father is aged 15 x 3 more than his son's age. After 8 years, he would be 2 1/2 times of his son's age. Again after 8 years, how many times would he be his son's age?

a)

3.5 times his son's age

b)

2 times his son's age

c)

2.5 his son's age

d)

3 times his son's age

6.

Points which line on the same plan are called:

a)

Coplanar

b)

Congruent

c)

concurrent

d)

collinear

7.

What is the solution of 6a=42?

a)

4

b)

7

c)

6

d)

5

8.

The symbol n√b, "b" is called the :

a)

Radicand

b)

Index

c)

Radical

d)

Radix

9.

What refers to the highest ordinate on the stress-strain diagram?

a)

Ultimate strength

b)

Rapture strength

c)

allowable strength

d)

Yield Strength

10.

174 degrees is equivalent to ___ mils.

a)

3094

b)

3049

c)

3904

d)

3409

e)

174⁰ (6400 mils/360°) = 3093.3 mills

11.

A man finds the angle of elevation of the top of a tower to be 30⁰. He walks 85 meter nearer the tower and finds its angle of elevation to be 60⁰. What is the height of the tower

a)

76.3 cm

b)

73.6 cm

c)

73.6 m

d)

76.3 m

e)

Tan 30 = h/85 + x, tan 60 = h/x

12.

The area of the rhombus is 132 square meters. If its shorter diagonal is 12 m, find the longer diagonal.

a)

28 m

b)

22 m

c)

26 m

d)

24 m

e)

A=132 = 1/2 d1d2

13.

How do you call two events, if the outcome of one event does not affect the probability of another event?

a)

Dependent

b)

Independent

c)

Factorial

d)

Probability

14.

Force that opposes motion?

a)

drag force

b)

inertia

c)

latent force

d)

reverse effective force

15.

The significant digits of a given number ends with:

a)

The last zero digit.

b)

The last non-zero digit

c)

The final digit whether zero or not zero

d)

The last decimal digit

16.

The width of the rectangle is 4/5 of its length. If its perimeter is 72, what is the dimension

a)

20

b)

18

c)

22

d)

16

17.

How many horsepower is equivalent to 10 kilowatts?

a)

13.4 hp

b)

31.1 hp

c)

3.41 hp

d)

14.3 hp

18.

If a train passes as many telegraph poles in one minute as it goes mile per hour how far apart are the poles

a)

76 ft

b)

60 ft

c)

88 ft

d)

66 ft

19.

At 3:40 , the hour hand and the minute hand of a clock form an angle of:

a)

120 deg

b)

135 deg

c)

130 deg

d)

125 deg

20.

Kinematic viscosity is an SI derivative unit described as _____.

a)

Newton per meter

b)

pascal second

c)

sq. meters per second

d)

watt per meter kelvin

21.

Find the mean of 14, 73, 25, 25, and 53

a)

39

b)

28

c)

38

d)

40

e)

sol = 14+73+25+2553/5

22.

The most common unit of measure for angles is the _______.

a)

Diameter

b)

Perimeter

c)

Area

d)

Degree

23.

The sum of the first 10 terms of a geometric progression 2, 4, 8, 16, .......

a)

2052

b)

2046

c)

2058

d)

2064

e)

sol;' 2, 4, 8, 16, .32, 64, 128, 256 , 512, 1024, 2048

24.

isotopes differ in the _______.

a)

the chemical activity

b)

the number of protons

c)

the valence number

d)

the number of neutrons

25.

A price of wire is shaped to enclose a square whose are is 169 sq. cm. It is the reshaped to enclose a rectangle who length is 15 cm. What is the area of the rectangle?

a)

167 sq. cm

b)

160 sq. m

c)

165 sq. cm

d)

163 sq. m

26.

1 watt is ___?

a)

1 Nm/hr

b)

1 kNm/hr

c)

1 Nm/mt

d)

1 Nm/s

27.

Heavy objects fall faster that light objects

a)

Plank's Theory

b)

Aristotle's theory

c)

Galileo's theory

d)

Newton's law

28.

What is referred to the length of time which the property may be operated at a profit?

a)

Physical life

b)

Operating life

c)

Economic life

d)

Material life

29.

What is the value that determine or establishes a price acceptable to both a buyer and a seller?

a)

Franchise Value

b)

Fair Value

c)

Goodwill value

d)

Market value

30.

A pump is purchased from P9,000. Its estimated economic life is 10 years after which it will be sold at P1000. Find the depreciation in the first 3 years using the straight line method.

a)

P800

b)

P1600

c)

P2000

d)

P2400

31.

Simplify the equation:

3X + 37 =6X - 8

a)

11

b)

15

c)

12

d)

9

32.

in geometry, it is a construction of drawing of lines and the figures the possibility of which is admitted without proof.

a)

Theorem

b)

Axiom

c)

Hypothesis

d)

Postulate

33.

5 + 5 x 2 is equal to _____.

a)

5

b)

12

c)

25

d)

20

34.

A line that meets a plane but is not perpendicular to it, in relation to the place is ________.

a)

Asymptote

b)

oblique

c)

colinear

d)

hypotenuse

35.

An example of neutral equilibrium would be?

a)

a ball on the table

b)

a trained dog standing on its hind legs

c)

book standing on its end

d)

a tight tope walker

36.

one where the payments are made at the end of each period

a)

Ordinary Annuity

b)

Perpetuity

c)

Annuity Due

d)

Deferred Annuity

37.

Cost of things that are neither labor or materials

a)

Expenses

b)

investments

c)

labor cost

d)

construction cost

38.

When an imaginary number is raised to an even exponent it becomes what?

a)

Infinite

b)

Relatively small number

c)

Negative imaginary number

d)

Real Number

39.

At what temperature are the degrees Fahrenheit and dress Celsius equal

a)

-60

b)

-40

c)

40

d)

60

40.

The sun of two consecutive even integers in n. What is the sum of the next two consecutive integers greater that n?

a)

2n + 4

b)

2n + 3

c)

2n + 2

d)

n + 5

41.

It is a series of equal payments occurring at equal interval where the first payment is made after several periods.

a)

Annuity due

b)

Perpetuity

c)

Ordinary annuity

d)

Deferred annuity

42.

Two men can paint 6 uniform types of houses in 3 days. How many men, working at the same rate are needed to paint 1- similar houses in 2 days?

a)

10 men

b)

5 men

c)

6 men

d)

8 men

43.

Find the geometric means of 2 and 8

a)

10

b)

5

c)

8

d)

4

e)

GM=√2(8)

= 4

44.

The point directly directly opposite the zenith is

a)

equinox

b)

pole

c)

nadir

d)

meridian

45.

Coterminal angle of 120 degree is

a)

480

b)

210

c)

470

d)

220

e)

sol: 120 deg +360 deg =480

46.

Time rate of doing work

a)

power

b)

heat

c)

energy

d)

work rate

47.

If the total fall of house sewer is 24 inches per 120 ft. What is the slope per foot?

a)

0.02

b)

0.04

c)

0.03

d)

0.01

e)

sol: convert 24 inches to ft

48.

What is the radius of a circle the area of which is equal to that of a rectangle whose sides are 26.9 and 12.5 inches respectively

a)

10.14 in

b)

10.04 in

c)

10.54 in

d)

10.34 in

e)

49.

The PRC commissioner will hire 7 men and 4 women. In how many ways can he choose from 9 men and 6 women who qualifies for the job?

a)

540

b)

340

c)

440

d)

240

e)

(9C7)(6C4)=

calculator

Shift ÷nCr

50.

Convergent series is a sequence of decreasing numbers or when the succeeding term is ___ than the preceding term

a)

more

b)

equal

c)

lesser

d)

greater

51.

A drainage pipeline 1000ft is laid at a slope of 2%. What is the total drop of the lower end?

a)

15 ft

b)

25ft

c)

20 ft

d)

10 ft

e)

sol:

0.02 = X/1000

52.

how many feet can a house power raise a weight pf 33 lbs within one hour?

a)

60,000ft

b)

6ft

c)

6000ft

d)

600ft

53.

10^-12

a)

1 trillionth

b)

1 billionth

c)

1 quadrillionth

d)

1 quintillionth

54.

The first angle of a triangle is 4 times the result of decreasing the second angle by 15°. The third angle is 3 times the second angle. How many degrees is each angle?

a)

25°, 75°, 80°

b)

50°, 45°, 120°

c)

30°, 60°, 90°

d)

20°, 60°, 100°

55.

It is the amount which a willing buyer will pay to the willing seller for a property where each has equal advantage and is under no compulsion to buy or sell.

a)

fair value

b)

salvage value

c)

market value

d)

book value

56.

What referred to the length of time which the property may be operated at a profit?

a)

physical life

b)

economic life

c)

material life

d)

operating life

57.

A ten kg block is raised vertically by 3 meters. what is the change in potential energy?

a)

294 J

b)

942 J

c)

924J

d)

249 J

58.

Entropy is the measure of

a)

the heat capacity of the substance

b)

randomness or disorder

c)

the change in enthalpy in the system

d)

the internal energy of gas

59.

A line that is perpendicular to the x -axis has a slop equal to___.

a)

1

b)

0

c)

-1

d)

infinity

60.

The altitude of the sides of a triangle intersects at the point known as ____

a)

incenter

b)

orthocenter

c)

centroid

d)

circumcenter