Practice 116 problems for test 1. This in addition to the quiz problems and the problems assigned on the syllabus should be
studied for the test
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1) Perform all operations in the correct order.
9÷3·4÷2
1)
2) Perform all operations in the correct order.
8 - 3 9 - 2 ÷ 21
2)
3) Perform all operations in the correct order.
3+4 8×2+5×5
3)
4) Perform all operations in the correct order.
5 3×7 + 8+4 ÷3
4)
5) Perform all operations in the correct order.
2+35-2×2
3×4-3 -4
5)
6) In preparing an estimate to remodel a kitchen, a contractor predicts cabinet costs of $750,
sink and countertop $485, paint and wallpaper $229, floor tile $565, appliances $3859 and
labor $1100. What is the total cost?
6)
7) A painter is painting a room that is 720 square feet. However, he ran out of paint after
painting 594 sq ft. How many sq ft does he have left to paint?
7)
8) Which total volume is greater, four drums containing 48, 35, 29, and 57 liters or five drums
containing 30, 22, 18, 18, and 35 liters? By how much is it greater?
8)
9) A machinist worked 40 regular hours and 10 overtime hours during one week and earned
$660. If his regular pay Is $480, what did he earn during overtime hours?
9)
10) Determine the missing dimension in the drawing:
10)
11) A truck’s gas tank holds 45 gallons of gas. If the truck can travel 15 miles per gallon, how
many miles can the truck travel before refueling?
11)
1
12) If a small car repair shop earns an average of $725 a week, how much would it earn in a
year (52 weeks)?
12)
13) A door contains two hinges. A builder is constructing an office building with two doors in
each office. How many hinges are needed if the building has 49 offices?
13)
14) A mason is building a drystack stone wall that is 3 feet high. If each stone is 4 inches high,
how many rows of stone will the wall contain? (1 foot = 12 inches)
14)
15) A painter can pains a wall at a rate of 160 sq ft. per hour. How many hours will he take to
paint 2240 sq ft. of walls?
15)
16) A plastic extruder can produce 3843 ft of plastic pipe in an 8 hour shift. If the plastic is cut
into 7 ft long pipes, how many pipes are produced each shift?
16)
17)
8×7+5-1
=
28 ÷ 2 - 4
17)
18)
68 - 19 32
+ 14 ÷ 7 =
2+5
8
18)
19) A mirror that is 5 ft wide is to be centered on a wall that is 17 ft long. Write the equation
that shows how far from each end of the wall the mirror’s ends should be placed.
Calculate.
19)
20) Convert the following measurement number to the new unit as shown. Round to the same
number of significant digits as the original measurement.
ft
ft
7200
= ?
min
sec
20)
21) Convert the following measurement number to the new unit as shown. Round each answer
to the nearest one-hundredth of a unit, if necessary.
mi
ft
40
= ?
hr
sec
21)
22) 6 ft - 3 ft 4 in =
22)
23) 2 ft 7 in. - 1 ft 10 in. =
23)
24) 14 lb 7 oz - 8 lb 9 oz =
24)
25) 3
1
mi = ________ yd
2
25)
26) 118 oz = ________ lb ________ oz
26)
27) 46,200 ft = ________ mi
27)
2
28) 98 mph = ________ km/hr
28)
29) A homeowner, needing carpeting, has calculated that she needs 806 square feet. Carpeting
is sold in yards. Make the necessary conversion. (Round to the nearest whole number.)
29)
30) In Canada, a sign states that the speed limit is 120 kph. What speed is this in miles per
hour? (Round to the nearest mph.)
30)
5
in. long. What is the total length
8
31)
1
1
in. by 3 in. What are its measurements in
2
2
32)
31) A machinist must cut 9 strips of metal that are each 2 ft 6
of metal needed in inches?
32) A small picture frame has measurements of 2
centimeters?
33) Write the number as a percent.
0.54
33)
34) Write the number as a decimal number.
232%
34)
35) 3.5 is what percent of 7.15? (Round to the nearest hundredth of a percent.)
35)
36) 390 is what percent of 751? (Round to the nearest percent.)
36)
37) A truck engine is rated at 186 hp and is found to deliver only 101 hp to the transmission.
What is the efficiency of the process to the nearest tenth of a percent?
37)
38) The speeds of pulleys are inversely proportional to the lengths of their diameters. The
diameter of pulley A is 18 cm and the diameter of pulley B is 8 cm. If pulley B turns at 342
rpm's, how fast does pulley A turn?
38)
39) Solve for Z.
6 ft 3 in. 5 ft 3.75 in.
=
Z
7 ft 1 in.
39)
40) If 90 gallons of oil flow through a certain pipe in 18 minutes, how long will it take to fill a
600-gallon tank using this pipe?
40)
41) The pitch of a roof is
5
1
. If the rise is 12 feet, how far apart are the outer faces of the
12
2
41)
supporting walls?
42) 97.5 is ________% of 75.
42)
43) 57.5 is 11.5% of ________.
43)
3
44) If your salary is $258.00 per week and 7.65% is withheld for FICA taxes, what is the
amount withheld?
45) An 8
1
in. by 11 in. sheet of paper is reduced to 75% of its size. What are the new
2
44)
45)
dimensions?
46) Distribution for the community newspaper increased this year 1225 newspapers. This was
a 12.5% increase. What was the number of newspapers distributed last year?
46)
47) Cleary's Carpet Cleaners normally will clean the carpets in 4 rooms plus a hall for $79.95. If
they offer a spring cleaning special of 12% off the regular price, how much will they charge
for this special?
47)
48) A power saw is on sale for 20% off the list price. If the sale price is $985.95, what is the list
price?
48)
49) The Smiths obtained a $2000 home improvement loan through their bank at an annual rate
of 9.5%. It is due in 2 years. How much interest will they pay on this loan?
49)
50) On a technical drawing, a cylinder has a diameter of 2.345 in. with a tolerance of 0.015 in.
What is the percent tolerance? (Round to the nearest hundredth.)
50)
51) A service station normally charges $69.95 for an automobile tune-up. A coupon entitles the
customer to a 15% discount. What is the cost with a coupon?
51)
52) If a car traveling 80 mph travels a certain distance in 4
3
hours, how long will a car
4
52)
traveling 60 mph take to travel the same distance?
53) Write the fraction as a repeating decimal using the “bar” notation.
7
9
53)
54) Write the fraction as a terminating decimal.
7
8
54)
55) A cold piston measures 8.665 cm in diameter. What heated, it expands an additional 0.024
cm. What is the diameter of the heated piston?
55)
56) Round to the nearest hundredth.
56)
0.023 ÷ 0.38 =
57) A plumber has the following lengths of PVC: 4.2 ft, 9.45 ft, 6.18 ft, 3.36 ft, and 5 ft. What is
his average length of PVC?
4
57)
58) A truck that gas a 48.5 gallon gas tank can travel 756.6 miles before refueling. How many
miles per gallon does the truck average?
58)
59) Gold has a density of 19.3 kg/cm3 . If a jeweler has a small block of gold with a volume of
2.35 cm3, how many grams of gold does he have?
59)
60) Write as a decimal number.
45
1000
60)
61) Write as a decimal number.
1
4
4
61)
62) Write as a decimal number. Round to 3 digits.
5
9
62)
63) 14 ft 6 in. = ________ m
63)
64) Convert the following measurement number to the new unit as shown.
140 yds2 = ? ft2
64)
65) Convert the following measurement number to the new unit as shown. Round to the same
number of significant digits as the original measurement.
875 g = ? kg
65)
66) Convert the following measurement number to the new unit as shown. Round to the same
number of significant digits as the original measurement.
3.2 km = ? m
66)
67) Convert the following measurement number to the new unit as shown. Round to the same
number of significant digits as the original measurement.
ft
ft
7200
= ?
min
sec
67)
68) A Porsche 911S has a 2341 cu cm engine. What is its cylinder displacement in cubic inches?
Round to the nearest cu in.
68)
69) Perform all operations in the correct order.
-4 2 + -3 2 + 5
69)
70) Find the numerical value of each expression. (Round to 3 decimal digits.)
65
70)
5
71) On July 1st, Jamie's checking account had a balance of $1250. Throughout the month he
made the following transactions: Withdrew $550, deposited $80, withdrew $120, withdrew
$385, and deposited $425. What was his balance at the end of the month?
71)
72) The highest point in the United States is Mount McKinley at 20,320 feet. The lowest point is
Death Valley, California, at 282 feet below sea level. What is the difference between these
two points?
72)
73) Rewrite in scientific notation.
73)
8,375,000,000
74) Rewrite in scientific notation.
74)
0.0000000000911
75) Rewrite and calculate in scientific notation.
75)
30,000 × 400 =
76) Rewrite and calculate in scientific notation.
76)
10 × 285 =
77) Rewrite and calculate in scientific notation. Round to the nearest hundredth.
77)
9070 × 0.806 =
78) Rewrite and calculate in scientific notation. Round to the nearest hundredth.
78)
0.0516 × 0.00083
=
85,000
79) Rewrite and calculate in scientific notation.
79)
1,098,000
=
30,500 × 90,000
80) Rewrite and calculate in scientific notation. Round to the nearest hundredth.
80)
445,000
=
593,000 × 0.003
81)
4
= ? (percent)
7
82) 2
81)
5
= ? (percent)
6
82)
6
83) What
percent of 893.6 is 23.7? (nearest whole percent) Use the percentage
formula.
83)
84) If
84)
445 is decreased by 55%, what is the new amount?
85) The
voltage of a generator is 220V. If approximately 8V are lost in a
supply line, what is the rate of voltage loss?
85)
86) After
86)
87) Perform
87)
88) Perform
88)
89) Perform
89)
the market value on a home went up 20%, it was listed at $78,000.
What was the original cost?
the multiplication and express in scientific notation:
(8.5 × 107)(4 × 10-3)
the division and express in scientific notation:
7.2 × 106
4.5 × 10-3
the division and express in scientific notation:
4.81 × 107
9.62 × 100
90) Express
in scientific notation: 6,000,000
90)
91) Perform
the indicated operation. Express as a power of 10: 10-2 105
91)
92) A
typical aluminum soda can contains 385 mL of soda. How many liters
is this?
92)
93) 7.9
93)
94) Some
94)
95) 15
95)
meters of drapery fabric is the same as how many centimeters of
fabric?
grocery stores wrap and price fresh meat by the kilogram. How
many grams are in a package that weighs 8.5 kg?
g = ? mg
96) How
many kilograms are in 4,385 decigrams of a substance?
97) Subtract:
39 m - 82 cm
96)
97)
7
98) Find
the sum: 5 kg + 15 g + 563 dg
99) Change
100)
98)
500 inches to meters. (Round to nearest tenth; 1 m = 39.37 in.)
Change 50 miles to kilometers (1 mi = 1.6 km).
8
99)
100)
Answer Key
Testname: PRACTICE TEST 116 FALL
1)
2)
3)
4)
5)
6)
7)
8)
6
7
167
109
1
$6988
126 sq ft
Four drums which contain a total of 46 liters more
than the five drums.
9) $180
10) 11 ft
11) 675 miles
12) $37,700 per year
13) 196 hinges
14) 9 rows
15) 14 hours
16) 549 pieces of pipe
17) 6
18) 5
19) (17 ft - 5 ft) ÷ 2 = 6 ft
ft
20) 120
sec
21) 58.67
45) 6
3
1
in. by 8 in.
8
4
46) 9800 newspapers
47) $70.36
48) $1232.44
49) $380
50) 0.64%
51) $59.46
1
52) 6 hours
3
53) 0.7
54) 0.875
55) 8.689 cm
56) 0.06
57) 5.638 ft
58) 15.6 miles per gallon
59) 45.355 g
60) 0.045
61) 4.25
62) 0.556
63) 4.4196 m
64) 1260 ft2
ft
sec
65) 0.875 kg
66) 3200 m
ft
67) 120
sec
22) 2 ft 8 in.
23) 9 in.
24) 5 lb 14 oz
25) 6160 yd
26) 7 lb 6 oz
27) 8.75 mi
28) 157.7114 km/hr
29) 90 sq yd
30) 75 mph
5
31) 275 in.
8
68) 143 cu in.
69) 30
70) 8.062
71) $700
72) 20,602 feet
73) 8.375 × 109
74) 9.11 × 10-11
75) 1.2 × 107
76) 2.85 × 103
77) 7.31 × 103
32) 6.35 cm by 8.89 cm
33) 54%
34) 2.32
35) 48.95%
36) 52%
37) 54.3%
38) 152 rpm's
39) Z = 6 ft 0.25 in.
40) 120 minutes or 2 hours
41) 30 feet
42) 130
43) 50
44) $19.74
78) 5.04 × 10-10
79) 4 × 10-4
80) 2.50 × 102
81) 57
1
%
7
82) 283
1
%
3
83) 3%
84) 200.25
9
Answer Key
Testname: PRACTICE TEST 116 FALL
85) 3.64%
(rounded)
86) $65,000
87) 3.4 × 105
× 109
89) 5 × 106
88) 1.6
× 106
91) 103
92) 0.385 L
93) 790 cm
94) 8,500 g
95) 15,000
96) 0.4385 kg
97) 3,818 cm
98) 5,071.3 g
99) 12.7
100) 80
90) 6
10