Line D Flashcards
Round 5237.02056 to the nearest thousandth.
a. 5000
b. 5237.02
c. 5237.021
d. 5237.0206
5237.021
Round 12 465.078 to the nearest thousand.
a. 12 465
b. 12 000
c. 10 000
d. 12 465.078
12 000
- 963 + 335.021 + 2267.123 =
a. 2616.17
b. 2616.107
c. 2616.296
d. 2616.182
2616.107
Add 2.72, 0.6, 110, and 17.225.
a. 130.545
b. 135.945
c. 136.545
d. 131.545
130.545
- 25 − 3.875 =
a. 7.15
b. 7.875
c. 7.375
d. 15.125
7.375
Multiply 19.5 by 7.65.
a. 14917.5
b. 14.9175
c. 1491.75
d. 149.175
149.175
- 753 ÷ .87 =
a. 210.55
b. 21.555
c. 2.1555
d. 0.21555
21.555
Divide 0.0028 by 0.95. Express your answer to the nearest thousandth.
a. 0.003
b. 0.002
c. 0.0029
d. 0.00295
0.003
178 + 18 × 6 =
a. 286
b. 295
c. 1176
d. 19 224
286
- 33 – 543.48 + 101 =
a. 1447.52
b. 2534.81
c. 2534.85
d. 1447.85
1447.85
58 − 33 × 4 =
a. 74
b. −74
c. 100
d. −100
–74
Reduce 24/64 to lowest terms.
a. 12/32
b. 6/16
c. 3/8
d. 1.5/4
3/8
Reduce 150/275 to lowest terms.
a. 6/11
b. 3/5.5
c. 3/11
d. 12/22
6/11
Change 34/8 into a mixed number.
a. 3 4/8
b. 4 1/4
c. 4 1/8
d. 4 1/16
4 1/4
Express 5 7/16 as an improper fraction.
a. 103/16
b. 57/16
c. 87/16
d. 35/16
87/16
1/4 + 5/16 + 7/32 =
a. 7/16
b. 13/32
c. 25/32
d. 13/16
25/32
5/8 + 9/32 − 1/16 =
a. 7/8
b. 7/16
c. 27/32
d. 13/16
7/8
7/8 × 5 =
a. 35/40
b. 4 3/8
c. 6 3/8
d. 4 3/4
4 3/8
3/16 × 5/8 =
a. 9/32
b. 9/16
c. 80/24
d. 15/128
15/128
4 1/2 x 4 =
a. 18
b. 8 1/2
c. 16 1/2
d. 16 1/8
18
3/8 ÷ 1/16 =
a. 6
b. 12
c. 3/16
d. 3/128
6
5/16 ÷ 4 =
a. 20/16
b. 11/4
c. 5/16
d. 5/64
5/64
17/32 + 1/2 × 1/4 =
a. 8/32
b. 21/32
c. 23/32
d. 1 9/32
21/32
The risers for a set of stairs are each 19.4cm. Each step is 2.5cm thick. There are 10 risers and
9 steps. What is the height of the stairway?
a. 216.5cm
b. 219cm
c. 194 m
d. 222cm
216.5cm
A can contains 4.225L of lacquer. The lacquer is to be divided equally into five containers.
How much lacquer will be in each container?
a. 0.888L
b. 0.879L
c. 0.845L
d. 0.854L
0.845L
A shop used a total of 57 400 screws to assemble an order. If each unit assembled required
41 screws, how many units were completed for the order?
a. 410
b. 140
c. 4100
d. 1400
1400
A coil of wire has 45 layers of wire wound around the core. Each layer has 68 turns of wire.
How many turns of wire are there in the coil?
a. 3060
b. 3600
c. 3006
d. 6030
3060
If a contractor had 600 m2 of oak flooring and had two jobs requiring 245 m2 each, there
would be 355 m2 remaining.
False
An electrician wires five buildings. The buildings require 42, 65, 73, 69, and 58 outlets
respectively. There have been 307 outlets installed.
True
What is the width of the hallway in the following floor plan?
a. 2m
b. 4m
c. 1m
d. 3m
1m
On the sheet metal layout below, the distance between the centres of hole A and hole D,
measuring lengthwise, is 16 cm. All dimensions are in centimetres.
True
A cabinetmaker had a bin of 1000 hinges. Six projects required 38, 56, 42, 24, 46, and 34
hinges respectively. How many hinges were left?
a. 240
b. 760
c. 794
d. 476
760
A total of 256 bronze castings were machined. Each casting had a mass of 793g, and 158g were removed from each by machining. The total mass of bronze removed by machining
was 162 560g.
False
An automotive shop had the following amounts of wire: 84m black wire; 183m orange wire;
352m green wire; 146m brown wire; 47m red wire; 316m blue wire; 329 m white wire. The
total length of wire on inventory was 1457m.
True
An apartment building requires 2475 m of electrical cable. How many 75 m rolls will be
needed?
a. 30
b. 31
c. 32
d. 33
33
A countertop is made of 3/4” particleboard and is covered with 1/32” plastic laminate. The width
of metal edging required to finish off the edge is 27/32”.
False
In one minute, a large reduction gear turns 61/3 revolutions. How many revolutions will it turn
in 27 1/2 minutes?
a. 174 1/6
b. 162 1/6
c. 168 1/3
d. 170 1/3
174 1/6
2 billets of cold drawn steel 1 1/2” long can be cut from a bar 20” long, if 1/8” is allowed for
each saw cut.
True
Calculate the dimension A in the diagram below
a. 6in.
b. 5in.
c. 2 1/2in.
d. 6 1/2in.
5in.
A 3/16” sheet of metal is thicker than a 13/64” fastener.
False
Eight pins, each 4 3/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for
each cut. What is the minimum length of rod you will need?
a. 35”
b. 35 3/4”
c. 35 21/32”
d. 35 43/64”
35 21/32”
The diameter of a steel shaft is reduced 7/1000”. The original diameter was 7/8”. The new
diameter of the shaft is 0.868”.
True
A good estimation of 1010 × 21 is:
a. 21 210
b. 21 000
c. 20 000
d. 21 200
20 000
Perform the following metric conversions.
a. 2.36 m = ______________mm f. 25 mg = _______________g
b. 15 000 m = ____________km g. 3 kg = _________________t
c. 704 mm = _____________m h. 0.01 L =________________mL
d. 1.2 m = _______________mm i. 175 mL = _______________cL
e. 0.53 kg = _____________g j. 23.1 L =________________mL
a. 2360 mm f. 0.025 g
b. 15 km g. 0.003 t
c. 0.704 m h. 10 mL
d. 1200 mm i. 17.5 cL
e. 0.025 g j. 23 100 mL
Using the chart below, perform the following metric/imperial conversions. Round your
answers to the nearest thousandth if necessary.
a. 24 mm = ______________in f. 10 qt. = ________________L
b. 18 in. = _______________cm g. 40 km = _______________mi
c. 30 kg = _______________lb h. 59.7 L = _______________qt.
d. 10 oz. = _______________g i. 3 gal. = _________________L
e. 100 lb. = ______________kg j. 5 t = ___________________lb
a. 0.936 in f. 9.46 L
b. 45.72 cm g. 24.84 mi
c. 66.15 lb h. 63.103 qt
d. 283.5 g i. 11.37 L
e. 45.4 kg j. 11 023 lb
Perform the following metric conversions.
a. 26.8 m = _____________mm f. 35.6 km = ____________cm
b. 6 mg = _______________g g. 0.015 Mg = ___________kg
c. 5 mL = _______________cm3 h. 7 L = ________________dL
d. 0.68 kg = _____________g i. 1.3 cg = _______________kg
e. 153 μm = _____________mm j. 3.29 × 102 m = _________m
a. 26 800 mm f. 3 560 000 cm
b. 0.006 g g. 15 kg
c. 5 cm3 h. 70 dL
d. 680 g i. 0.000 013 kg
e. 0.153 mm j. 329 m
Using the chart below, perform the following metric/imperial conversions. Round your
answers to the nearest thousandth, if necessary.
a. 12 in. = ________________cm f. 100 m = ________________ft
b. 20 gal. = _______________L g. 8 mm = ________________in
c. 420 g = _______________oz h. 82 mi. = _______________km
d. 3 ft. = _________________cm i. 1000 lb. = _______________t
e. 100 kg = _______________lb. j. 0.8 L = __________________qt
a. 30.48 cm f. 328 ft
b. 75.8 L g. 0.312 in.
c. 14.7 oz h. 131.938 km
d. 91.5 or 91.44 cm i. 0.454 t
e. 220.5 lb j. 0.846 qt.
Express the following ratios in lowest terms:
a. 15 to 20 = ________________
b. 9 to 3 = __________________
c. 9:63 = ____________________
d. 6:1 = _____________________
e. 2.4:0.8 = __________________
a. 3:4
b. 3:1
c. 1:7
d. 6:1
e. 3:1
Write the inverse of the following ratios:
a. 5 to 7 = __________________
b. 4/5 = ____________________
a. 7:5
b. 5:4
Find the missing term in these proportions:
a. 35:5 = _______ :2
b. ____________ :3 = 28:12
a. 14
b. 7
Of two gears that mesh, the smaller revolves at 84 rpm and the larger at 36 rpm. In lowest
terms, what is the ratio of the speed of the smaller to the larger?
a. 3:7
b. 7:3
c. 5:2
d. 2:5
7:3
Two oil tanks have capacities of 1989 L and 1105 L. In lowest terms, what is the ratio of the
volume of the larger tank to the smaller?
a. 3:1
b. 1:2
c. 9:5
d. 6:11
9:5
The primary winding of an electric transformer has 240 turns, and the secondary winding
has 15 turns. The ratio of the primary winding to the secondary is 1:16.
False
A cylindrical barrel contains 9 kL of gasoline when filled to a depth of 3 m. How many kL
does the barrel contain when the level is 2 m?
a. 6 kL
b. 5 kL
c. 4 kL
d. 3 kL
6 kL
In the rear axle of a vehicle, the ratio of teeth on the ring gear to teeth on the pinion gear is
4 to 1. If there are 64 teeth on the ring gear, how many teeth are there on the pinion gear?
a. 8
b. 32
c. 16
d. 256
16
The ratio of input power to output power of an amplifier is 1:3000. If the input power is
0.00806 W, the amplifier output power will be 24.18 W.
True
George earns $18.50 an hour; his brother Mike earns $9.25 an hour. What is the ratio in
lowest terms of George’s hourly wage to Mike’s?
a. 1:2
b. 2:1
c. 5:10
d. 10:5
2:1
Basement windows in a house are 3000 mm wide by 900 mm high. What is the ratio in
lowest terms of width to height?
a. 3000:900
b. 900:3000
c. 3:10
d. 10:3
10:3
A starter gear has 12 teeth and a ring gear has 102 teeth. The ratio in lowest terms of the
starter gear teeth to the ring gear teeth is 6:52.
False
The ratio of the crankshaft pulley speed to the alternator pulley speed is 8:19. When the
engine crankshaft speed is 736 rpm the speed of the alternator is 1748 rpm.
True
A steel pipe has a uniform cross-section. The mass of 0.33 m of the pipe is 0.425 kg. What is
the mass of a 3.6 m length of the pipe?
a. 2.795 kg
b. 4.636 kg
c. 3.867 kg
d. 5.385 kg
4.636 kg
You are told to construct a workbench for which the length is 4 1/2 times the width. If your
bench is to be 1800 mm long, it must be made 450 mm wide.
False
In a transformer, the turns ratio varies directly with the voltage ratio. In a power transformer
in which the ratio of primary turns to secondary turns is 10:3, what is the secondary voltage
when the primary voltage is 123 V?
a. 41 V
b. 36.9 V
c. 410 V
d. 1230 V
36.9 V
In the following chart, A varies directly in proportion to B. Complete the chart.
The slope of a roof is the ratio of unit rise to the unit of run. If the slope is 4:12 and the total
run is 4.9 m, the total rise must be 1.633 m.
True
In mixing concrete for a foundation slab, the ratio of gravel to cement is 7:2. If you estimate
you need 12 m3 of gravel, how much cement powder will you need?
a. 42 m3
b. 3.8 m3
c. 3.4 m3
d. 4.2 m3
3.4 m3
A water pump discharges 50 L of water in 3.5 minutes. How long does it take to discharge
11 000 litres?
a. 770 min.
b. 63 min.
c. 77 min.
d. 550 min.
770 min.
If 600 kg of carbon steel alloy contains 4.80 kg of manganese, there would be 6.92 kg of
manganese in 865 kg of the same steel alloy.
True
The capacity of an oil reservoir is directly proportional to the depth of oil. If the reservoir
holds 280 000 L of oil when filled to its maximum depth of 3.8 m, how much oil is there
when the depth is 1.2 m?
a. 23 333 L
b. 37 255 L
c. 66 398 L
d. 88 421 L
88 421 L
A 406 mm shaft has a uniform taper of 0.05 mm in 101.5 mm. What is the taper in the entire
length of the shaft?
a. 0.2 mm
b. 12 mm
c. 33 864 mm
d. 824 810 mm
0.2 mm
The power of a gas engine increases with the area of the piston head. If an engine with a
piston area of 8.3 in2 develops 25.75 horsepower, to the nearest horsepower, how much
horsepower will an engine have with a piston area of 25 in2?
a. 8 hp
b. 77 hp
c. 78 hp
d. 92 hp
78 hp
If 3 L of paint covers a surface containing 82.5 m2, how much paint will be needed to cover
192.5 m2 of surface?
a. 7 L
b. 12 L
c. 27.5 L
d. 5293.75 L
7 L
Fill in the chart below with the required numbers. Provide all fractions in lowest terms.
________ is 6% of 63.
3.78
9 is ________% of 27.
33.33%
84 is 375% of ________
22.4
48 is 20% less than ________
60
40% of 24 is what?
a. 14.4
b. 9.6
c. 8.4
d. 10.2
9.6
What percent of 1.32 is 0.6?
a. 46%
b. 55%
c. 45%
d. 10%
45%
3 is 15% of 22.
False
30 is 20% more than what?
a. 25
b. 24
c. 22
d. 20
25
102 is 15% less than what?
a. 115
b. 120
c. 124
d. 122.4
120
63 is what percent of 40, to the nearest percent?
a. 63%
b. 157%
c. 158%
d. 145%
158%
12% of 30 is 3.6.
True
4.06 is 9% of 48.
False
One part acid and four parts water are mixed as an electrolyte for a storage battery. What
percent of the electrolyte is acid?
a. 25%
b. 20%
c. 75%
d. 80%
20%
The efficiency of a motor is 90%. If the motor delivers 13.5 horsepower, what is the input?
a. 15 hp
b. 14.85 hp
c. 12.15 hp
d. 15.28 hp
15 hp
A set of combination wrenches priced at $179.99 went on sale for 15% off. What is the sale
price?
a. $26.99
b. $99.99
c. $152.99
d. $159.99
$152.99
A company has recently increased its workforce by 12½%. There are now 18 employees in
the company. How many workers were there before the increase?
a. 12
b. 14
c. 16
d. 18
16
The operating spindle speed of a lathe spindle that rotates freely is 354 rpm. When 16% is
lost through slippage and cutting pressure, the new speed is 297 rpm.
True
A floor joist is allowed to vary 5% of its stated width of 184 mm. The maximum width would
be what?
a. 200 mm
b. 188.4 mm
c. 193.2 mm
d. 197.9 mm
193.2 mm
What percent is wasted when 3.6 of every 120 sheets of metal are spoiled?
a. 3%
b. 0.3%
c. 30%
d. 300%
3%
The minimum idle speed for a particular engine is 630 rpm. This is 94% of the maximum idle
speed of 668 rpm.
False
A contractor wants to make a profit of 12% on a job. If the break-even cost is $2345, what
should the total job price be, including the profit?
a. $2626.00
b. $2600.40
c. $2600.00
d. $2626.40
$2626.40
In the power 52, 5 is the base and 2 is the exponent.
True
(2/5)2 =
a. 4/5
b. 4/25
c. 2/25
d. 2/5
4/25
43 =
a. 12
b. 16
c. 64
d. 24
64
220 = 0
False
51 = 5
True
42 + 23 =
a. 16
b. 24
c. 32
d. 28
24
(3/8)2 =
a. 0.140
b. 0.141
c. 0.142
d. 0.014
0.141
83 = 512
True
123 =
a. 36
b. 144
c. 288
d. 1728
1728
√3 = 1.37
False
3√8 =
a. 2
b. 2.33
c. 2.25
d. 2.67
2
√324 =
a. 12
b. 24
c. 18
d. 18.49
18
3√343 = 6
False
√49/81 =
a. 0.086
b. 0.778
c. 0.777
d. 0.078
0.778
√1.21 = 1.1
True
11 = n – 3
a. n = 7
b. n = 14
c. n = 21
d. n = 10
n = 14
27 = 8(n + 3)
a. n = 2
b. n = 3/4
c. n = 3/8
d. n = 3/16
n = 3/8
x2 + 4 = 20
a. 4
b. 8
c. 16
d. 24
4
C = π42
a. C = 133.648
b. C = 131.946
c. C = 131.947
d. C = 131.946
C = 131.947
2[13 + (8 – 5)] = x
a. x = 52
b. x = 32
c. x = 23
d. x = 43
x = 32
N + 2(3 – 1) = 8
a. N = 2
b. N = 0
c. N = 4
d. N = 6
N = 4
3N = 123
a. N = 14
b. N = 41
c. N = 36
d. N = 63
N = 41
15 = 29 – (2x)
a. x = 7
b. x = 5
c. x = 14
d. x = –7
x = 7
Use the formula A = LW, where
A = area
L = length
W = width
Solve for the missing dimensions.
Use the formula P = EI, where
P = power in watts (w) E = force in volts (v) I = current in amperes (A)
Calculate the power in watts for an electric clothes dryer circuit that has 24 A and 220 V.
a. P = 9.16 W
b. P = 1200 W
c. P = 2640 W
d. P = 5280 W
P = 5280 W
Use the formula for calculating the taper of a shaft t = D – d / L, where
t = taper in centimetres per metre (cm/m) D = diameter of the larger end d = diameter of the smaller end L = length in metres
Determine the taper of a shaft that has end diameters of 5.3 cm and 3.1 cm and a length of
1.3 metres.
a. t = 1.7 cm/m
b. t = 1.4 cm/m
c. t = 1.2 cm/m
d. t = 1.1 cm/m
t = 1.7 cm/m
Use the formula F = PA, where
F = force in newtons (N) P = pressure in pascals (Pa) A = area in square metres (m2)
Calculate the pressure in the hydraulic system illustrated below:
a. P = 80 Pa
b. P = 8000 Pa
c. P = 20 000 Pa
d. P = 200 000 Pa
P = 200 000 Pa
Use the conversion formula F = 9 / 5 (C + 32), where
F = degrees Farhenheit C = degrees Celsius
Convert 175°C to degrees Farhenheit.
a. F = 337°F
b. F = 372.6°F
c. F = 378.8°F
d. F = 388.8°F
F = 372.6°F
Use the formula A = πr2, where
A = area of a circle r = radius of the circle
Determine the radius in centimetres of a circle with an area of 255 cm2.
a. 9 cm
b. 18 cm
c. 44 cm
d. 81.169 cm
9 cm
A construction site 27 m by 76 m must be fenced in before excavation starts. How many
metres of fencing are required to enclose it?
a. 2052 m
b. 103 m
c. 206 m
d. 309 m
206 m
A contractor is deciding which floor covering to use in the room shown below. Cork floor
tiles 0.25 m by 0.25 m cost $1.10 each, and carpeting costs $16.95 a square metre. Floor tiles
would be cheaper than carpet.
False
A rectangular panel measuring 36” x 18” has two holes 6” in diameter to receive stereo
speakers and a rectangular opening 8” x 10” for a rear window defroster. What is the surface
area of the panel after the holes have been cut to the nearest square inch?
a. 511 sq. in.
b. 540 sq. in.
c. 560 sq. in.
d. 584 sq. in.
511 sq. in.
The cylindrical water tank servicing a construction site must be erected on a wooden cradle
and fastened by three metal straps around the outside. If the tank is 44” in diameter, what is
the total length of metal required for the straps, to the nearest 1/16”?
a. 138 1/4”
b. 276 1/2”
c. 452 9/16”
d. 414 11/16”
414 11/16”
A pipe 35 cm in diameter must be inserted into a storage tank. What is the area of the hole
that must be cut in the side of the tank if you leave 0.3 cm clearance on the outside of the
pipe?
a. 111.84 cm2
b. 995.38 cm2
c. 223.68 cm2
d. 1029.22 cm2
995.38 cm2
A four cylinder engine has a bore (diameter) of 7.5 cm and a stroke (height) of 1.1 cm. What
is the maximum displacement (volume) of each cylinder to the nearest cubic centimetre?
a. 49 cm3
b. 26 cm3
c. 52 cm3
d. 50 cm3
49 cm3
A solvent tank measures 135 cm x 50 cm x 45 cm. To the nearest litre, how many litres of
solvent will it take to fill it three-quarters full? 1 cm3 equals 1 mL.
a. 228 L
b. 304 L
c. 508 L
d. 104 L
228 L
Find the area of the washer in the figure below with an inside diameter of 12 mm and an
outside diameter of 22 mm.
a. 85.6 mm2
b. 31.4 mm2
c. 212.08 mm2
d. 267.04 mm2
267.04 mm2
There are two rectangular containers. The dimensions of container A are 10 m × 6 m × 5 m.
The dimensions of container B are 7 m × 4 m × 8 m. Container A holds more.
True
A circle and a triangle with a base of 9 in. both have an area of 28.2744 in.2. The diameter of
the circle is greater than the altitude of the triangle.
False
Find the area of the metal plate shown shaded below.
a. 26 460 cm2
b. 32 694 cm2
c. 44 725 cm2
d. 15 298 cm2
26 460 cm2
What is the area of a triangle with base of 21.5” and an altitude (or height) of 8”?
a. 172”2
b. 104”2
c. 86”^2
d. 44”2
86”2
A truck has a cylindrical air pressure reservoir for its air brake system with an outside
diameter of 39 cm and an outside length of 84 cm. What is the internal volume of the
reservoir in cubic centimetres if the cylinder walls are 0.5 cm thick?
a. 95 266 cm3
b. 88 463 cm3
c. 100 346 cm3
d. 122 863 cm3
95 266 cm3
A rectangular steel bar has a cross sectional area of 468 mm2. The bar is to be reformed into
a triangular-shaped bar with the same cross-sectional area. If the height of the triangle is
36 mm, what is the length of the base?
a. 22 mm
b. 26 mm
c. 28 mm
d. 32 mm
26mm
Calculate the cost of all moulding needed to go around the window in the figure below, if
the cost per metre is $6.50. Round your answer to the nearest cent.
a. $12.70
b. $25.40
c. $15.55
d. $10.85
$12.70
How much ceiling trim is required for the perimeter of the room shown in the figure below?
a. 12.4 m
b. 18.5 m
c. 24.8 m
d. 32.5 m
24.8 m
A DC generator contains four brush assemblies, with each assembly containing six brushes.
The surface of each brush is 0.065 m by 0.025 m. Calculate in square metres the total surface
area of all the brushes.
a. 0.028 m2
b. 0.039 m2
c. 0.0016 m2
d. 0.0098 m2
0.039 m2
A cleaning tank for small parts measures 15 cm by 35 cm by 12 cm deep. The tank has a fill
line 4 cm from the top. How many litres of cleaning fluid will the tank hold if filled to the fill
line? (1 cm3 = 1 mL)
a. 6.3 L
b. 4.2 L
c. 3.8 L
d. 5.8 L
4.2 L
A sheet metal worker is building a heating duct in which the rectangular vent is 15 cm high.
This vent must have the same area as the rectangular opening, which is 20 cm by 30 cm.
Calculate the length of the vent.
a. 20 cm
b. 28 cm
c. 36 cm
d. 40 cm
40 cm
If two angles of a triangle add to 112°, what angle would the third be?
a. 248°
b. 68°
c. 90°
d. 48°
68°
Two walls, 5’ long and 12’ long, meet at a corner that should be 90°. What should the
distance be between the two ends of the walls?
a. 13’
b. 10’
c. 17’
d. 22’
13’
What is the longest side of a triangle called?
a. Adjacent
b. Opposite
c. Hypotenuse
d. Obtuse
Hypotenuse
What is the complementary angle to an angle of 58°?
a. 122°
b. 32°
c. 62°
d. 118°
32°
If two angles are supplementary, they will equal 180°.
True
Guidelines for installing ceiling tiles are checked for square. A measurement of 6’ is marked
off horizontally on one wall and a measurement of 8’ is marked off horizontally on the
adjacent wall. If the guidelines are square, what should be the measurement of the line that
joins the two marks?
a. 10’
b. 12’
c. 14’
d. 16’
10’
Find the missing values.
What is the name for most basic building block of all matter?
a. The atom
b. The quark
c. The newton
d. The molecule
The atom
What are the three general states of matter?
a. Cold, cool, and hot
b. Solid, liquid, and gas
c. Organic, inorganic, and plasma
d. Molecule, compound, and mixture
Solid, liquid, and gas
What is the term used to describe the force of attraction between dissimilar molecules?
a. Cohesive forces
b. Adhesive forces
c. Attractive forces
d. Gravitational forces
Adhesive forces
What is the unit of force used in the metric system?
a. Pascal
b. Newton
c. Kilogram
d. Pounds per square inch
Newton
What is the unit of mass used in the metric system?
a. Pound
b. Pascal
c. Kilogram
d. Newton
Kilogram
What is the approximate metric value for the acceleration due to gravity?
a. 32 feet per second²
b. 9.8 metres per second
c. 9.8 metres per second²
d. 32 metres per second
9.8 metres per second²
What is the term “volume” used to describe?
a. The density of an object
b. The metric term for force of gravity
c. The weight of an object compared to water
d. The amount of space an object occupies or a container holds
The amount of space an object occupies or a container holds
How is the term “mass density” best described?
a. The ratio of a mass or weight to a volume
b. The portion of an object at its most dense
c. The comparison of an object’s mass to that of water
d. A description of the densest material known to humans
The ratio of a mass or weight to a volume
In metric, what is the most common unit of mass density?
a. kg/L
b. kg/m³
c. lb./m³
d. lb./ft.²
kg/m³
If salt water is denser than fresh water, what would the specific gravity of salt water be?
a. SD=1
b. SD= <1
c. SD= >1
d. Salt water doesn’t have a specific gravity, only fresh water does.
SD = >1
Given that oak has a specific gravity of 0.72, approximately what portion of a block of oak
floating in fresh water would be submerged?
a. 28%
b. 72%
c. 100%
d. More information is needed
72%
What does the term “specific gravity” describe?
a. The buoyancy of salt water
b. The specific acceleration due to gravity
c. A ratio of a substance’s weight compared to air
d. A ratio of a substance’s density compared to fresh water
A ratio of a substance’s density compared to fresh water
Why do objects experience higher buoyancy in salt water than in fresh water?
a. Salt water has a higher specific gravity than fresh water.
b. Objects have less buoyancy in salt water than fresh water.
c. The salinity of salt water creates negative ions to support the object.
d. An object has the same buoyancy in salt water as it does in fresh water.
Salt water has a higher specific gravity than fresh water.
A 100 cm³ block of iron dropped into a tank of water will displace 200 cm³ of water.
False
When determining a solid’s specific gravity, one is comparing the solid’s density to the
density of iron.
False
Which of the following best describes the distance a body moves over time?
a. Inertia
b. Speed
c. Rotation
d. Acceleration
Speed
Inertia is an object’s resistance to change in its movement.
True
Which term best describes an applied force over a distance?
a. Work
b. Force
c. Inertia
d. Velocity
Work
Applying the brakes to reduce the velocity of a vehicle is an example of accelerated motion.
True
The acceleration of gravity is 9.8 ft./s².
False
Force is a product of mass and acceleration.
True
The pound is the imperial unit of force.
True
Air resistance and friction are examples of unbalanced forces.
True
The amount of force required to begin moving an object is the same amount of force
required to keep the object moving at a constant speed.
False
Which of the following terms best describes molecular movement?
a. Thermal energy
b. Electrical energy
c. Chemical energy
d. Mechanical energy
Thermal energy
Which of the following terms best describes an internal energy transferred from one object to another as a result of temperature difference between the objects?
a. Heat
b. Vibration
c. Mechanical
d. Temperature
Heat
Which of the following terms is used to describe the measurement of internal energy of an
object?
a. Heat
b. Chemical
c. Mechanical
d. Temperature
Temperature
Which of the following thermometers uses two strips of unlike metals that expand and
contract at different rates?
a. Bimetallic strip thermometer
b. Glass expansion thermometer
c. Liquid expansion thermometer
d. Bimetal calibrated thermometer
Bimetallic strip thermometer
In the drawing below, indicate whether the dimensions shown by letters D2 and D4 are size
dimensions, no dimensions, location dimensions, or notation dimensions.
a. Size dimensions
b. No dimensions
c. Notation dimensions
d. Location dimensions
Size dimensions
What is the measurement of the line below?
a. 68’
b. 6’3”
c. 80’
d. 12’6”
12’6”
What is the measurement of the line below?
a. 1’3”
b. 1’6”
c. 27’3”
d. 27’6”
1’3”
What is the measurement of the line below?
a. 16’2”
b. 16’4”
c. 16’6”
d. 16’9”
16’2”
What is the measurement of the line below?
a. 3’4”
b. 3’7”
c. 9’4”
d. 13’7”
3’4”
What is the measurement of the line below?
a. 35 mm
b. 3.5 m
c. 35 m
d. 350 m
3.5m
What is the measurement of the line below?
a. 0.19 m
b. 1.9 m
c. 19 m
d. 190 m
1.9m
What is the measurement of the piping run below in 1/2”=1’ scale?
a. 8’6”
b. 10’6”
c. 17’
d. 34’
8’6”
In the diagrams below, match letters A to L with numbers 1 to 12.
A. 10 B. 11
C. 5 D. 6
E. 1 F. 12
G. 7 H. 2
I. 8 J. 4
K. 9 L. 3
According to the graph below, what was the price of gas on July 19?
a. 127.5
b. 128
c. 128.5
d. 129
127.5
