WorksheetsMath and Science Review #2
Total questions: 100
Worksheet time: 50mins
A cylinder has a diameter of 20 feet and a height of 10 feet, what is the volume?
100 cubic feet
3,140 cubic feet
785 cubic feet
2.18 cubic feet
Which of the following represents the lowest weight?
1 pound
12 ounces
0.81 pounds
16.25 ounces
A circle has a diameter of 18 inches, what is the radius?
3.16 inches
5 inches
9 inches
20 inches
Convert 144 ounces to pounds.
5.25
8.5
7.25
9
A cylinder has a diameter of 15 feet and a height of 10 feet, what is the total weight on the bottom of the tank when full of water?
5,871.8 pounds
48,946.32 pounds
110,052.21 pounds
6,539.05 pounds
How many BTU needed to heat 20 pounds water at 100° C to steam at 212° F at atmospheric pressure?
9704
19,408
1800
20,824
Which of these fractions has the highest value?
3/8
7/16
17/32
35/64
An improper fraction has a numerator ______ the denominator.
equal to
larger than
smaller than
None of the above.
A room measures 20 feet by 40 feet and has a ceiling height of 20 feet. How many gallons of water would it take to fill the room?
119,680
186,925
134,640
10,500
You are given 20 feet of copper pipe and told to cut 12 pieces 1'-6", how much copper pipe will be remaining.
2 feet
18 inches
9 inches
1 foot
Convert 72 cubic feet to cubic inches.
864
10,368
102,525
124,416
Convert 3 inches to decimal feet.
.5
.75
.25
.4
A cylinder having a volume of 10 cubic feet is filled with air with a pressure of 14.7 psia. Find the volume of air if it is compressed to a final pressure of 15 psig.
2.4 cu. ft
2.92 cu. ft
4.6 cu. ft
4.95 cu. ft
A vertical pipe 10 inches in diameter and 52.5 feet tall is filled with water, what is the pressure at the bottom?
22.73 psig
2961.3 psig
57.2 psig
13 psig
If the formula for volume is used (specific volume = 1/specific density) and the density of the air is 0.075 pounds per cubic foot, what is the volume? Answers are rounded to the nearest hundredth.
13.33 cubic feet per pound
13.33 pounds per cubic foot
12.20 cubic feet per pound
12.20 pounds per cubic foot
The Pythagorean Theorem is written as _______.
a + b = c
a2 + b2 = c
a2 + b2 = c2
a + b = c2
42 is what percent of 84?
25
50
75
85
There is a 45° offset having an offset of 9', calculate the travel.
5'
14.14'
12.73'
7.07'
Solve for X: 3/8 = 5.625/X
21
15
48
35
What vertical height in feet could water be raised on the discharge side of a pump if the pressure is 52.5 psig?
13 feet
121.28 feet
19.36 feet
115.5 feet
A circle has a diameter of 4 feet what is the circumference?
12.56 feet
6.28 feet
.79 square feet
3.14 square feet
Solve for X: 4/5 = 32/X
40
56
80
96
A cooling tower water treatment service program specifies the use of an algaecide. The label directions say to use 1.5 gallons of chemical for every 1,000 gallons of water. If the capacity is 5,025 gallons, how much algaecide will be needed when filled with 5,000 gallons of water?
6
4.5
7.5
12
Calculate the grade if the total fall is 1.5' and the total length is 96'.
3/16 inch per foot
5/16 inch per foot
7/16 inch per foot
9/16 inch per foot
A boiler is located in the penthouse of a building 800 feet above the basement. The water supply pressure in the basement is 55 psig. How much additional pump pressure must be added to fill the boiler to a pressure at 15 psig?
102.5
306.4
176.5
520.5
If a triangle has a base that measures 30 inches and a height that measures 15 inches, the area of the triangle would be ____.
15 in2
225 in2
30 in2
300 in2
Which of the following numbers has the least value?
0.00356
0.03561
0.00036
0.03563
208 is what percent of 650?
2.58
32
25.8
3.25
Calculate the total fall if the grade is 1/8 inch per foot and the total length is 150'.
6.5625"
3.125"
18.75"
12.5"
A cylinder measures 6 feet in diameter and is 20 feet high, the volume of the cylinder is ______ cubic feet.
360
1130.4
565.2
282.6
There is a 45° offset having an offset of 5.25', calculate the travel.
5.14'
14.14'
11.41'
7.42'
Simplify: 118% + 0.85 + 40%
1.32
2.13
13.2%
243 %
How many BTU will it take to heat 10 pound of ice at 0° F to steam at 100° C at standard atmospheric pressure
970.4
144
180
13,104
If you are doing a 45 degree offset with 8 inch duct and the offset measures 8 feet, what will the length of the travel be center to center?
5 feet 0.625 inches
5 feet 7.875 inches
8 feet 6 inches
11 feet 3.75 inches
Calculate: 5.5 ÷ 16.5= written in fractional form.
1/3
4/5
9/1
3/1
A circle has a diameter of 5 inches, what is the area?
19.63 square inches
49.3 square inches
31.4 inches
78.5 square inches
If you are doing a 45 degree offset with 10 inch weld pipe and the offset measures 5 feet, what will the length of the travel be center to center?
8 feet 6 inches
7 feet 9 inches
6 feet 8 inches
7 feet 7/8 inch
Simplify: 31/16
1 15/16
2 31/32
2 15/16
None of the answers are correct
Use figure 3, if N = 25 feet and M = 10 feet, and the offset equals 5 feet, the spread is 1' calculate I.
10 feet 5"
10 feet 7"
9 feet 7"
9 feet 5"
What is the median of the values 36, 7, 16, 12, 8, 11, 29?
12
16
8
11
How many BTU will it take to heat 5 pounds of ice at 0° F to ice at 32° F at standard atmospheric pressure?
16
224
8
80
Calculate 1/2 x 3/4 x 2 = written in fractional form.
1/2
3/8
3/16
3/4
Calculate 2½ x 1⅘ x 2⅓ x ⅔ = ?
1
9
3
7
You are given 20 feet of copper pipe and told to cut 8 pieces 1'-9", how much copper pipe will be remaining.
3 feet
18 inches
6 feet
15 inches
If a right triangle has a base that measures 15 inches and a height that measures 30 inches, the length of the third side will be ____. (to the nearest 1/16 of an inch)
24.0625 inches
8 feet 4 inches
33.5 inches
8 feet
What is the total force (TF) on a test plug at the bottom of a 4" diameter schedule 40 steel pipe stack 100' high to the nearest pound?
514 pounds
550 pounds
525 pounds
544 pounds
What is the definition of BTU?
British Thermal Unit
British Thermal Unified
The amount heat required to raise 1 gram of water 1 degree Celsius
The amount of heat required to raise 1 pound of water 1 degree Fahrenheit
A duct measures 9 inches by 11 inches what is the perimeter?
20 inches
40 inches
113.04 square inches
96 square inches
A temperature reading of –36°F equals ____ °C.
-2.2
-7.2
-37.78
-122.4
If the formula for volume is used (specific volume = 1/specific density) and the density of the air is 0.062 pounds per cubic foot, what is the volume? Answers are rounded to the nearest hundredth.
15.34 cubic feet per pound
16.13 cubic feet per pound
16.13 pounds per cubic foot
15.34 pounds per cubic foot
There is a triangle having a travel of 10' and an offset of 6', calculate the advance.
5'
6'
7'
8'
If a circle has a diameter of 8 feet, what is the area of the circle? (leave answer in decimal feet)
5.024 ft3
50.24 ft2
20.96 ft3
38.5 ft2
If you are told to cut 10 line sets 3'-9" long, how much material would you need?
36.75'
37.5'
38.25'
38.75'
When written in decimal form, the fraction 7/16 is ____.
0.4375
0.0875
0.3125
5.25
Convert 25 square feet to square inches.
3,600
43,200
36,000
5,250
If a triangle has a base that measures 30 inches and a height that measures 10 inches, the area of the triangle would be ____.
15 in2
150 in2
30 in2
300 in2
Convert 12 pounds 8 ounces to ounces.
200
96
152
176
42 is what % of 70?
50%
60%
65%
55%
How high would a column of Hg to be to produced the same pressure as a column of water of 38 feet?
2.5 ft
2.8 ft
2.2 ft
3.2 ft
Using the formula length x width = area, if length is 19 feet and area is 240 square feet, what is the width?
8 feet
12.63 feet
16 feet
20.52 feet
In US Customary measurement, one inch is ____ of a foot.
1/5
1/6
1/12
1/16
Calculate: 105
30
100
500
100,000
If a rectangular room measures 15 feet wide, 19 feet long, and has a ceiling 8 feet high, what is the area of the room?
285 ft2
2,280 ft2
190 ft3
1,904 ft3
A 10" weld pipe has an offset of 2'-6" c-c, a long radius 45° is welded on each end, what is the e-e measurement for the pipe?
1'-5½"
1'-6½"
1'-5¼"
1'-6¼"
Calculate: 2/3 x 1/2 x 3/5 x 5/8 x 16 =
1
2
3
4
Calculate: 58
40
15,625
390,625
1,953,125
A cylinder has a volume of 6 cubic feet at 0 psig, how much pressure will need to be added to compress the gas to 3 cubic feet?
29.4 psig
14.7 psig
6 psig
9 psig
How many BTU are needed when 20 gpm are heated 25° in 1 hour at atmospheric pressure?
189,760
199,920
947,700
249,900
Simplify 7/5 and write as a decimal.
1.2
1.4
.71
.74
If a right triangle has a base that measures 30 inches and a height that measures 40 inches, the length of the third side will be ____. (answer in feet and inches)
90 inches
8 feet 4 inches
100 feet
4 feet 2 inches
What is the mean of the values 37, 9, 16, 15, 3, 14, 18?
14
15
16
18
Simplify:( (378 – 281) + 12 )– 90
9
19
29
39
Convert 108,864 cubic inches to cubic feet.
756
5.25
9,072
63
What does the acronym PEMDAS stand for in mathematical order of operations?
Plus, Exponent, Multiply, Divide, And, Square
Parenthesis, Enunciate, Multiplication, Derivative, Alternative, Square
Plus, Exponent, Multiply, Divide, Algorithm, Square
Parenthesis, Exponent, Multiply, Divide, Add, Subtract
A room measures 15 feet by 20 feet and has a ceiling height of 10 feet, the ventilation for the room is flowing at 1500 cfm, calculate the air changes per hour.
30
10.5
300
105
Solve: 17 +(( 3 ÷12) x 4) = X.
6.67
1.67
17.25
18
Which of the following numbers has the least value?
1.7%
17%
0.017
0.0017
Convert 98.7° F.
35° C
37° C
39° C
33° C
Convert 28° C.
81.2° F
82.4° F
85.2° F
86.1° F
You are running a 20 inch waste line and told to grade it at 1/4 inch per foot. What is the total fall if the total length is 575 feet?
10 feet
10.94 feet
14 feet
11.98 feet
A cylinder measures 4 feet in diameter and is 20 feet high, the total weight is 500 pounds. Calculate the amount of support needed if it is filled with water.
1,253.76 pounds
16,151.87 pounds
64,107.48 pounds
1,282.6 pounds
There is a 45° offset having an travel of 20', calculate the advance.
3.5'
14.14'
5.66'
7.07'
What is the take off for a 3 inch long radius weld 90°?
3.5"
4.5"
1.875"
2.5"
If a right triangle has a base that measures 16 inches and a height that measures 12 inches, the length of the third side will be ____. (to the nearest 1/16 of an inch)
20 inches
8 feet 4 inches
100 feet
8 feet
What is the lowest common denominator of these fractions: 1/2, 7/16, 17/32, 3/8?
2
16
32
64
A vertical pipe 4 inches in diameter and 55 feet tall is filled with water, what is the pressure at 20 feet from the bottom?
15.2 psig
19.5 psig
8.7 psig
4.3 psig
A temperature reading of -30°F equals ____ °C.
-29.0
-34.4
-40.0
104.0
Convert 52.5 cubic feet to cubic inches.
90,720
630
4.35
77,560
Simplify 11/8 and write as a decima1.
1.525
1.375
.73
.87
If you are given a print and you measure 5¼" and the scale is 1/8" equals a foot, how much material will you need?
1 foot 4 inches
21 feet
1 foot 9 inches
42 feet
If a3 rectangular room measures 16 feet wide, 18 feet long, and has a ceiling 10 feet high, what is the volume of the room?
238 ft3
2880 ft2
190 ft3
2880 ft3
A room measures 25 feet by 20 feet and has a ceiling height of 10 feet, the ventilation for the room is flowing at 1800 cfm, calculate the air changes per hour.
30
21.6
300
10.5
A circle has a diameter of 20 inches what is the area?
3.14 feet
1.57 feet
2.18 square feet
3.14 square feet
The fraction 27/8 is ____.
a proper fraction
an improper fraction
a mixed number
a whole number
What is the take off for a 12 inch long radius weld 45°?
3"
7.5"
9"
10.25"
Use figure 3, if side H equals 5 feet 2 inches, N equals 20 feet, the offset equals 5 feet and the spread equals 9 inches, calculate E center to center.
1 foot 5 inches
1 foot 3 inches
3¾ inches
5 inches
Convert 49/16" to decimal inch.
3.250"
3.450"
3.0625"
3.125"
Convert .83 decimal feet to decimal inch.
10"
9.75"
10.625"
9.5"
Reduce to lowest terms: 14/32
28/64
7/32
7/16
3/8
Convert .53 decimal feet to decimal inch.
5"
6.375"
6.875"
5.5"
