Math Test Flashcards

1
Q

area= 1/2 (bxh)
a) This is a formula for finding the Area of a Triangle.
b) This is a formula for finding the Area of a Circle.
c) This is a formula for finding the Area of a Square.
d) This is a formula for finding the Area of a Rectangle.

A

a) This is a formula for finding the Area of a Triangle.

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2
Q

What is the volume of a cylinder if the diameter equals 2 feet and the length equals 4 feet?
a) 8.00 cubic feet b) 12.56 cubic feet
c) 25.12 cubic feet d) 50.24 cubic feet

A

b) 12.56 cubic feet

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2
Q

2pier=

a) Length of a wall
c) Circumference of a circle
b) Length of a triangle
d) Area of a circle

A

c) Circumference of a circle

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3
Q

A contractor is excavating a pad that is 1500 square feet to a depth of 30 inches. The cost of excavation is $10.00 per cubic yard. What is the total estimated cost of the excavation?

a) $1250.00
b) $1388.89
c) $1666.67
d) $5000.00

A

b) $1388.89

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3
Q

A contractor plans to install 2’x4’ tiles in an acoustical suspended ceiling in a 100’ x 55’ room. The installer
averages 50 tiles/hour and is paid $22.50/hour. How much should be estimated for labor cost?
a) $3,930.75 b) $2,475.00
c) $309.38 d) $247.50

A

c) $309.38

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4
Q

If the required boiler capacity to meet the demand for heat is 100,000 BTUs at a 20 degree Delta T, what would be the trunk main required gallons per minute?

a) 2 gpm b) 4 gpm c) 8 gpm d) 10 gpm

A

10 gpm

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4
Q

A job requires 1408 square feet of roof sheeting at $13 per sheet. What is the total sheeting cost, making no allowance for waste?
a) $182 b) $364 c) $489 d) $572

A

d) $572

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5
Q

Three primary factors determine the size and the type of rafter to use in construction. Two of these are the distance spanned and the weight supported. What is the third factor?
a) The spacing of the rafters
b) The spacing of joists
c) The type of sheeting to be used
d) The height of the wall

A

a) The spacing of the rafters

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5
Q

What is the total board footage for a 4 by 4 board 4.25” wide and 11’ long, adding 10% waste?
a) 47.75 bd. ft.
b) 46.75 bd. ft.
c) 4.29 bd. ft.
d) 3.90 bd. ft.

A

c) 4.29 bd. ft.

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5
Q

If an architectural drawing gives a scale of 1/8” = 1’, what does a line 2-1/4” equal?
a) 10’6”
b) 17’6”
c) 18’0”
d) 24’8”

A

c) 18’0”

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5
Q

How many square feet of wallboard is needed to cover both sides of a wall that is 26 feet long and 14 feet high?
a) 364 square feet
b) 546 square feet
c) 728 square feet
d) 736 square feet

A

c) 728 square feet

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5
Q

A lite of glass which is 42” x 62”, has approximately how many square feet of glass?
a) 2604
b) 208
c) 104
d) 18

A
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6
Q

What is the volume of a hole 120 feet long, 30 feet wide, and 6 feet deep?
a) 500 cubic yards
b) 800 cubic yards
c) 1,200 cubic yards
d) 1,300 cubic yards

A

b) 800 cubic yards

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6
Q

How many cubic yards of concrete should a contractor order for a foundation that is to be 20 feet wide, 40 feet long, and 2 feet deep?

a) 40 b) 60 c) 80 d) 100

A

b) 60

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7
Q

How many 8” deep x 6” high x 16” wide blocks are there in 20 lineal feet?
a) 12.5
b) 15
c) 30
d) 40

A

b) 15

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8
Q

If the maximum flow for a 3⁄4” valve is 10 gpm on a level area, what is the MAXIMUM flow if there is a 25’ elevation drop in the same system?
a) 16 gpm b) 14 gpm c) 12 gpm d) 10 gpm

A

d) 10 gpm

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8
Q

205 traffic cones are required for a lane closure. The cost of renting cones is $.52 each day. What would be the rental cost for 8 days?
.
a) $106.60 b) $800.00
c) $852.80 d) $10,660.00

A

c) $852.80

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9
Q

If a gallon of striping paint covers 120 square feet, how many lineal feet of 4” wide striping will it cover?

a) 30 LF b) 120 LF c) 360 LF d) 480 LF

A

c) 360

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9
Q

A pipe 3-1/2” in diameter has 9 times the capacity of a pipe 1-1/2” in diameter. A given installation uses 360 feet of 3-1/2” pipe. How many feet of 1-1/2” pipe would be needed in an equivalent installation?
a) 40 feet
b) 1440 feet
c) 2740 feet
d) 3240 feet

A

d) 3240 feet

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10
Q

What is the square footage of a gable 12 ft. wide by 6 ft. high?
a) 24 sq. ft.
b) 36 sq. ft.
c) 42 sq. ft.
d) 72 sq. ft.

A

b) 36 sq. ft.

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10
Q

Using a load factor of 50%, how many 10-yard dump truck loads are required to export 6” of paving removed from a 120’ x 4’ trench?

a) 1 b) 2 c) 4 d) 6

11
Q

What is raised by one degree Fahrenheit with one BTU?
a) One pound of dry air
b) One pound of water
c) One pound of steam
d) One pound of ice

A

b) One pound of water

12
Q

If a flat rectangular roof measures 16’ x 31’, how many squares of roof covering are required?
Remember 1 roofing square = 100 square feet.

a) 5 b) 15 c) 25 d) 50

13
Q

A commercial septic pump job has the following material requirements: 2 valves at $145 each, 300’ of pipe at $25/foot, and 2 pumps at $1,500 each. What would be the budgeted cost for materials for the job?
.
a) $10,790 b) $ 9,145 c) $ 7,500 d) $ 5,290

A

a) $10,790

14
The rise of a slope is 6", and the horizontal is 8". What is the pitch? a) 15" b) 14" c) 12" d) 10"
d) 10"
14
The volume of 1 gallon of water is 231 cubic inches. What is the volume of a gallon of liquid nitrogen? a) Exactly 225 cubic inches c) 225 cubic inches b) 231 cubic inches d) unable to determine because of the extreme heat.
b) 231 cubic inches
15
If a hot tub is 5' in diameter and filled to a point 3" below the top of its 4' side, what is the approximate volume of water to be solar heated? a) 551 gallons b) 589 gallons c) 2,208 gallons d) 2,355 gallons
a) 551 gallons
16
How many square feet of tile is needed for an area that measures 2-1/2" by 4" on a plan this is drawn to an 1/8" scale? a) 10 sq. ft. c) 576 sq. ft. b) 160 sq. ft. d) 640 sq. ft.
d) 640 sq. ft.
16
Divided 5544 by 11 a) 500 b) 400 c) 504 d) 405
c) 504
16
What is 15% of 200? a) 185 c) 30 b) 13.3333 d) 215
c) 30
17
If 1 gallon of water equals 8.33 lbs., How much does 5 galons weigh? a) 1.666 lbs b) 9.33 lbs c) 41.65 lbs d) 5
c) 41.65
18
How many board feet of lumber is in one "2 x 10" x 6 feet long? . a) 120 bf (2 x 10 x 6) c) 10 bf [(2 x 10 x 6 x 12)/144] b) 72 bf [(2 + 10) x 6] d) 18 bf (2 + 10 + 6)
c) 10 bf [(2 x 10 x 6 x 12)/144]
19
What is the area of a deck that is 19'-6" x 12'-6"? a) 24,500 sqr ft b) 243.75 sqr ft c) 32 sqr ft d) 186 sqr ft
b) 243.75 sqr ft
20
How many square inches is in a square foot? a) 24 sqr inches b) 1 sqr inch c) 144 sqr inches d) 144 sqr ft
c) 144 sqr inches
21
How many square feet are in one square yard? a) 1 sqr yd b) 9 sqr yds c) 9 sqr ft d) 144
c) 9 sqr ft
22
You are going to paint a 10' x 13' room, ceiling and all four 8' walls, what is the square footage? a) 1,040 sqr ft b) 130 sqr ft c) 498 sqr ft d) 16,900 sqr ft
c) 498 sqr ft
23
What is the area of a triangle that has a base of 12' and a height of 12'? a) 144 sqr ft c) 72 sqr ft b) 24 sqr ft d) 12 sqr ft
c) 72 sqr ft
24
What is the area of a circle with a diameter of 10'? a) 10 sqr ft b) 31.41 sqr ft c) 314.1 sqr ft d) 78.54 sqr ft
d) 78.54 sqr ft
25
What is the hypotenuse of a triangle with sides of 6' and 8'? a) 6' b) 8' c) 10' d) 14'
c) 10'
26
What is the volume of air in a room that is 10' x 12' with walls 10' high? . a) 1200 sqr ft c) 600 sqr ft b) 1200 cu ft d) 600 cu ft
b) 1200 cu ft
27
a) 650 cu yds c) 24 cu yds d) 12 b) 132.25 cu yds d) 72 cu yds
c) 24 cu yds
28
How many cubic feet are there in a cubic yard?
c) 27 cu ft
29
In the United States, the typical bricks are 8" x 4" x 2.25", with a 1/2" mortar how many bricks would it take to build a 50' x 8' wall? a) 12,485 b) 3,000 c) 2,485 d) 1,500
c) 2,485
30
What is the volume of a house that has a width of 80', a height of 20' from the finish floor to the plate line and roof rise of 8', with the length of the house of 100'? a) 32,000 b) 160,000 c) 192,000 d) 224,000
c) 192,000
31
What is the pitch of roof with a rise of 6 and a run of 12? a) 6/12 b) 1/1 c) 1/2 d) 0
a) 6/12
32
What is the rise of a roof that has a pitch 1/2 and a span of 40? a) 10 b) 20 c) 30 d) 40
b) 20
33
How many joists would it take if a ceiling were 21' long and you wanted the joists 18" O.C.? a) 12 c) 15 b) 14 d) 16
c) 15
34
Which of the formula, V=h x PI x Radius2 used to determine? a) The area of a cylinder. b) The volume of a cylinder. c) The area of cone. d) The volume of a cone.
a) The area of a cylinder.
35
Which of the formula, V=[(h/3 x PI x Radius2] used to determine? a) The area of a cylinder. b) The volume of a cylinder. c) The area of cone. d) The volume of a cone
d) The volume of a cone.
36
Is there any difference, mathimatically, between the following formulas? formula #1. A = [(B/3) x C ] or formula #2. A = [B x (C/3)] a) No b) Yes
a) No