Mid Mock Board Exam
For July 2022 Master Plumber Board Exam
MASTER PLUMBER Licensure Exam
Sunday| June 5, 2022
9:00AM – 10:30AM
PLUMBING ARITHMETIC
Instructions: Select the correct answer for each of the following questions. Mark only one answer for each item by
shading the box corresponding to the letter of your choice on the answer sheet provided.
MULTIPLE CHOICE
1.
2.
3.
4.
5.
10 to the 18th power is the value of the prefix?
a. giga
b. pico
c.
exa
Which of the following is correct?
a. 1 hp = 756 kW
b. 1 hp = 746 Watts
c.
d.
1 hp = 7.46 kW
1 hp = 546 Watts
c.
3
c.
d.
0.00677
0.00766
c.
d.
8 + √8
8 - √8
c.
d.
3.12 m
3. 09 m
Solve for x: 3(7x+2) = 19,683.
a. 1
7.
8.
9.
2
e-8 is equal to:
a. 0.00335
b. 0.00533
Simplify the following:
a.
b.
6.
b.
d.
peta
d.
4
√5+√3
√5−√3
4 + √15
4 - √15
Add the following and express in meters: 3m + 2cm + 70mm.
a. 2.90 m
b. 3.14 m
The reciprocal of 25 is:
a. 15
b. 0.15
c. 0.06
4ab – 4a2 – b2 is equal to:
a. (2a – b)2
b. (-2a – b)2
c.
d.
(-2a + b)2
-(2a – b)2
If 7x = 8y, then 7x2 / 8y2 is equal to:
a. 7/8
b. 8/7
c.
2/3
d. 0.04
d.
16
10.
Given that w varies directly as product of x and y and inversely as the square of z, and that w=4 when x=2,
y=6 and z=3. Find the value of w when x=1, y=4 and z=2.
a. 6
b. 3
c. 9
d.1
11.
Find the fourth proportional of 9, 4 and 81.
a. 36
b. 61
c.
108
d.
0.02
12.
Five hundred (500) kg of steel containing 10% nickel is to be made by mixing a steel containing 12% Nickel
with another steel containing 6% nickel. How much of the steel containing 6% nickel is needed?
a. 666.67 kg
c. 500 kg
b. 166.67 kg
d. 333 kg
13.
How many square millimeters are in one square centimeter?
a. 100
b.
10,000
c.
144
d.
100,000
14.
Eight coworkers go out for dinner together and order six home-made yummy pizzas. Each pizza is cut into
twelve slices. If each person gets the same number of slices, how many slices will each person get?
a. 8
c. 9
b. 12
d. 6
15.
Negative four is multiplied by the quantity x + 8. If 6x is then added to this, the result is 2x - 32. What is the
value of x?
a. No solution
c. 64
b. 0
d. 3
16.
The sum of two consecutive integers is 49. What are the integers?
a. 20, 21
c.
b. 23, 24
d.
22, 23
24, 25
17.
The perimeter of a square can be expressed as x + 10. If one side of the square is 24, what is the value of the
perimeter?
a. 86
c. 14
b. 96
d. 24
18.
Two tesla cars leave Iloilo city at the same time, one going north and the other going south. If one tesla car is
traveling at 80 kph and the other at 55 kph, how many hours will it take for them to be 875 km apart?
a. 5.45
c. 6.48
b. 5.69
d. 6.65
19.
Two ducatis leave two different cities 680 miles apart and head directly toward each other on parallel
tracks. If one ducati is traveling at 54 miles per hour and the other at 70 miles per hour, how many hours
will it take before the ducatis pass?
a. 5.5
c. 6.2
b. 7.1
d. 6.5
20.
One integer is seven more than another. The sum of the greater integer and twice the lesser is 22. What is
the greater integer?
a. 12
b. 2
c. 5
d. 7
21.
An angular unit equivalent to 1/400 of the circumference of a circle is called
a. mil
c. radian
b. grad
d. degree
22.
Megan bought X pounds of coffee that cost $3 per pound and 20 pounds of coffee at $2.50 per pound for the
company picnic. Find the total number of pounds of coffee purchased if the average cost per pound of both
types together is $2.85.
a. 42.00
c. 63.22
b. 66.67
d. 46.66
23.
255 degree Celsius is equivalent to :
a. 491 °F
b. 427° F
c.
d.
173.67° F
109.67° F
24.
Ten less than four times a certain number is 8. Determine the number.
a. 6.5
c. 4.5
b. 5.5
d. 3.5
25.
Two angles are supplementary. The larger angle is 15° more than twice the smaller. Find the measure of the
larger angle.
a. 155°
c. 55°
b. 125°
d. 25°
26.
The area of a rectangle is 35 square inches. The length of the rectangle is 2 inches more than the width. How
many inches is the width?
a. 3 in
b. 4 in
c. 5 in
d. 7 in
27.
Factor the expression 𝑥 2 + 6𝑥 + 8
a. (x+8)(x+2)
b. (x+4)(x+2)
c.
d.
(x+4)(x-2)
(x-8)(x-2)
The rhombus has diagonals of 11 and 12. What is its area?
a. 33
b. 88
c.
66
28.
d.
132
29.
A chemist mixed a solution that was 34% acid with another solution that was 18% acid to produce a 30ounce solution that was 28% acid. How much of the 34% acid solution did he use?
a. 27
c. 18.75
b. 11.25
d. 28
30.
One side of a parallelogram is 10m and its diagonals are 16m and 24m, respectively. Its area is:
a. 156.8 sq. m
b. 185.7 sq. m
c. 158.7 sq. m
d. 142. 3 sq. m
31.
A pool is surrounded by a deck that has the same width all the way around. The total area of the deck only is
520 square feet. The dimensions of the pool are 18 feet by 24 feet. How many feet is the width of the deck?
a. 4 ft
c. 6 ft
b. 5 ft
d. 5.2 ft
32.
Bill and Ben can clean the garage together in 3.33 hours. If it takes Bill 10 hours working alone, how long
will it take Ben working alone?
a. 12 hours
c. 6 hours
b. 4 hours
d. 5 hours
33.
A pipe is 1/4 inch thick that has an inside diameter of 4 inches. Find the area of the cross section.
a. 51.05 in2
c. 3.34 in2
b. 13.35 in2
d. 34.36 in2
34.
The diagonal of the floor of a rectangular room is 7.50m. the shorter side of the room is 4.5 m. what is the
area of the room?
a. 36 sq. m
c. 58 sq. m
b. 27 sq. m
d. 24 sq. m
35.
If each interior angle of a regular polygon has a measure of 150 degrees, how many sides does it have?
a. 16
b. 12
c. 10
d. 1
36.
It is part of a line that lies between two points.
a. Ray
b. Line
c.
d.
Line Segment
Angle
37.
If the total fall of house sewer is 24 inches per 50 feet. What is the slope per foot in sewer?
a.
0.01
c.
0.03
b. 0.02
d. 0.04
38.
What is the radius of a circle the area of which is equal to that of a rectangle whose sides are 60 and 70
inches respectively?
a.
30.5 in
c.
36.5 in
b. 33.5 in
d. 39.5 in
39.
There are seven arithmetic means between 3 and 35. Find the sum of all terms.
a. 169
b. 171
c.
40.
167
What is a line that intersects a circle in exactly two points?
a. Chord
b. Tangent
d.
173
c.
d.
Secant
Diameter
41.
Find the diameter of a circle whose area is equal to the difference between the area of a 12.5-inch circle and
the area of a 7.5-inch circle?
a.
5 in
c.
10 in
b. 7 in
d. 14 in
42.
The age of the father is 3 times that of his son. The sum of their age is 60. How old is the son?
a. 20
c. 15
b. 12
d. 45
43.
If the lengths of the sides of the triangle sail are 3m, 6m and 7m. Find the area of the sail.
a.
10.2
c.
7.9
b. 12.2
d. 8.9
44.
A messenger traveling 65 miles per hour pursues truck which has a start of 2 hours and overtacks it in 3
hours. Find the trucks’ speed?
a. 37 miles/hr
b. 38 miles/hr
c. 39 miles/hr
d. 40 miles/hr
45.
The product of three consecutive integers is 9240. Find the third integer.
a. 20
c. 22
b. 21
d. 24
46.
The arithmetic mean of 80 numbers is 55. If two numbers namely 250 and 850 are removed what is the
arithmetic mean of the remaining number?
a. 42.31
c. 50
b. 57.12
d. 38.62
47.
Two angle whose two sum is 90 degrees.
a. complementary angle
b. supplementary angle
c. adjacent angle
d. reflex angle
48.
A polygon with ten sides is?
a. dodecagon
b. undecagon
c. decagon
d. tendicagon
49.
Find two consecutive even integers such that the square of the larger is 44 greater that the square of the
smaller integers.
a. 8 and 10
b. 10 and 12
c. 12 and 14
d. 10 and 11
50.
Two trains start from the same station and runs in opposite directions. One runs at a uniform rate of 20 kph
while the other at 29 kph. In how many hours will they be 220 km apart?
a.
4.12 hrs.
b. 4.49 hrs.
c.
5.22 hrs.
d.
4.67 hr
51.
It is the amount of money paid for the use of borrowed capital.
a. Discount
b. Tax
c. Interest
d. Deprciation
52.
It is the decrease in the value of physical property with the passage of time.
a. Sale
b. Appreciation
c. Discount
d. Deprciation
53.
It is the decrease in value of property due to the gradual extraction of its contents such as mining properties,
oil well, timber lands, and other consumable resources.
a. Depletion
b. Salvage Value
c. Book Value
d. Deprciation
54.
It is characterized by a single seller, selling a unique product in the market.
a. Monopoly
b. Monopsony
c. Oligopoly
d. Duopoly
55.
A market wherein there is only one buyer of item for which there are no goods substitute.
a. Monopoly
b. Monopsony
c. Oligopoly
d. Duopoly
56.
Simplest form of business organization, owned and run by one person and in which there is no legal
distinction between the owner and the business entity.
a. Corporation
b. Company
c. Partnership
d. Sole Proprietorship
57.
It is the place where buyers and sellers come together.
a. Stock Market
b. Mall
c. Market
d. Grocery
58.
The quantity of a certain commodity that is bought at a certain price at a given place and time.
a. Market
b. Demand
c. Supply
d. Monopoly
59.
the quantity of a certain commodity that is offered for sale at a certain price at a given place and time.
a. Market
b. Demand
c. Supply
d. Monopoly
60.
A situation in which two sellers dominate the market for a commodity or service.
a. Duopoly
b. Duopsony
c. Monopsony
d. Monopoly
61.
Accumulate P5,000.00 for 10 years at 9% compounded annually.
a.
b.
62.
13 years
14 years
12.91%
13.88%
c.
d.
13.42%
13.75%
IVVIIII
CDLXXII
c.
d.
DCLXXII
CCCCLXXII
6.31 years
4.77 years
c. 5.88 years
d. 7.33 years
P16,614.59
P16,785.34
c. P16,834.48
d. P16,847.33
1
2
c. 3
d. 4
What is the value of an asset after 8 years of use if it depreciates from its original value of P120,000.00 to its
salvage value of 3% in 12 years?
a.
b.
70.
c.
d.
How many significant figures are there in the number 0.055
a.
b.
69.
10 years
12 years
The amount of P13,800 in 4 years at 5% compounded quarterly is:
a.
b.
68.
5 years
6 years
A man has a will of P650,000.00 from his father. If his father deposited an amount of P400,000.00 in a trust
fund earning 8% compounded annually, after how many years will the man receive his will?
a.
b.
67.
c.
d.
How would the number '472' be written using Roman Numerals?
a.
b.
66.
3 years
4 years
What is the effective rate for an interest rate of 13% compounded continuously?
a.
b.
65.
P11,836.82
P12,324.11
How long will it take for an investment to double its amount if invested at an interest rate of 7%
compounded bi monthly?
a.
b.
64.
c.
d.
How long will it take P1,000 to amount to P1,429.80 if invested at 6% compounded quarterly?
a.
b.
63.
P10,794.62
P8,567.98
P44,200.00
P44,020.00
c. P44,002.00
d. P42,400.00
A machine costs P8,000.00 and an estimated life of 10 years with a salvage value of P500.00.What is its book
value after 8 years using straight-line method?
a. P2,500.00
b. P4,000.00
c. P3,000.00
d. P2,000.00
71.
A water system has installed 1,500 feet of 12 inch diameter pipe. How many gallons of water will it take to
fill the pipe?
a.
b.
72.
c.
d.
9,540 gallons
10,430 gallons
c.
d.
486 kPa
554 kPa
c.
d.
1.213
1.421
A pressure gauge reads 70.4 psi. What is the pressure in kPa?
a.
b.
73.
5.3 kPa
89 kPa
If cos 65˚ + cos 55˚ = cos Ɵ, find Ɵ in radians
a. 0.765
b. 0.087
74.
Find the area of a regular hexagonal with perimeter 12
a.
b.
14.70
10.39
c.
d.
5.6
9.25
a.
b.
Solve x4 – 9x2 + 8 = 0 for x
- 8.334, + 1
+ 2.828, + 1
c.
d.
+ 6.334, + 1
- 4.453, + 1
75.
76.
8,500 gallons
8,820 gallons
What is the distance from point A (3,4) to point B (- 3,-4)
a. 0
b. 5
c.
d.
10
1
Situation 1. From the top of the tower A, the angle of elevation of the top of the tower B is 46 degrees. From the foot of
tower B the angle of elevation of the top of tower A is 28 degree. Both towers are on a level ground. If the height of
tower B is 120m.
77.
78.
79.
80.
How high is tower A?
a. 38.6 m
b. 42.3 m
c.
d.
44.1 m
40.7m
What is the distance between tower A and B?
a. 756.45
b. 76.57
c.
d.
76,564
76,465
How many meters higher is tower B?
a. 79.30 m
b. 77.70 m
c.
d.
81.40 m
75.90 m
Susan is 4 times as old as Paul and 1.5 times as old as Mary. What fraction of paul’s age is Mary?
a. 3/8
b. 2 2/3
c. 33⁄4
d. 6
“Just keep on making progress, our future
RMP.”
-Beverly Trix S. Mana-ay, RMP