ASVAB Arithmetic Reasoning &
Mathematics Knowledge Questions And
Answers.
(5+3) times (2+1) times (10÷20) +5Even though math problems and equations are read
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from left to right, there is an order in which arithmetic operations must be performed.
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1. First, do all work within parentheses
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2. Second, perform all multiplication and division and left to right order
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3. Last, do additions and subtractions
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Work this example:
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(5+3) x (2+1) x (10÷20) +5 - (correct answer) -(5+3)x(2+1)x(10÷20) +5
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first do all the work within the parentheses.
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8 x (2+1) x (10÷20) +5
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8 x3 x ( 10÷20) +5
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8x3x.05 +5 j.
now perform all multiplications and divisions in left to right order
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8×3×0.5+5
24×0.5+5
12+5
last do additions and subtractions....
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17
A postal carrier can deliver mail to about 900 addresses in one day. In the city of Huitt,
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there are 26,942 residence. Workforce policy is required hiring 5% more carriers that are
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estimated to be needed in order to compensation for vacation, sick days and so on. About
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how many mail carriers must be hired to deliver mail to all of the Hewitt citizens each day?
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A. 29 j.
B. 30 j.
C. 31 j. j.
D. 32 - (correct answer) -C. To find the number of mail carriers required, divide 26,942 by
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900, which equals 29.94. Multiply this by 1.05 to get the extra 5% carriers, which results in
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31.4 postal carriers. Rounding this down (since the number to the right of the decimal is
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less than five) gives you a final number of 31 total mail carriers for the city.
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Of $128 at a dog show, 50% or female. Among the females, three out of the four over the
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age of four. How many of the dogs were females four years old or older?
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, A. 64 j.
B. 48 j.
C. 16 j.
D. 32 - (correct answer) -B. If 50% of 128 dogs or female, then there were 64 female dogs
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to start with (128×0.5 equals 64). Among those females, we were told that three out of four
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were over the age of four. To convert it to a percentage to work with more easily, the
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denominator must be 100. Multiplying anything by one or any of its forms is still the
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number that we started with, so 3/4×20/20 = 75/100. (20/20 is a restated form of one, so
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the amount we are talking about is the same, just stated in a different form) simplifying
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75/100 gives us 0.75. Multiplying 64×0.75 equals 48, so we now know that they were 48
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female dogs over the age of four at the dog show.
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If 1 pound of Mesquite-smoked, deli - sliced turkey breast cost $7.98 at the second-largest
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grocery store in town, and each slice is about 1 ounce, what is the cost of five slices?
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A. $1.34 j.
B. $2.37 j.
C. $2.49 j.
D. $3.99 - (correct answer) -C. There are 16 ounces in a pound. Therefore, if a pound of
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smoked deli turkey breast cost $7.98, and each slice is about 1 ounce, then one slice cost
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about $.50 (0.49875). Multiply this by five to get the cost of five slices.
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$0.49875 for one slice times 5 ounces equals $2.49375 equals $2.49 j. j. j. j. j. j. j. j. j. j.
What is the volume of a camping trailer that is 23 feet long, 15 feet wide, and 11 feet high?
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A. 2530 square feet
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B. 2950 cubic feet
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C. 3295 square feet
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D. 3795 cubic feet - (correct answer) -D. The formula for the volume of an object with
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parallel sides and right angle corners is length L times width W times height H, or L x W x H
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So
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23 feet x 15 feet x 11 feet = 3795 ft.³
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Jonathan spent four hours studying, one hour raking leaves, 30 minutes doing laundry,
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and two hours watching TV. What percent of his time was spent studying?
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A. 46.6% j.
B. 50% j.
C. 53.3% j.
D. 57.1% - (correct answer) -C. First, add all the blocks of time together 4 hours +1 hour
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+.5 hour +2 hours equals 7.5 hours total
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now multiply the time spent studying (four hours) by 100 and divided by the total time
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4×100 = 400 j. j.
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