Asvab Arithmetic reasoning Pratctice questions
The day the Johnson family arrived to their vacation destination the temperature reached to 100 degrees in the day and 20 degrees at night. What was the average temperature for the day? A)60 B)70 C)80 C)90
A)60 To work this out we use the following equation: (highest temperature + lowest temperature)/2 = (100+20)/2 = 60 degrees
If a rectangle has a perimeter of 36 feet and its feet wide what its area? A)56 SF B)128 SF C)112 SF D)116 SF
Answer: A)56 SF
If a rectangular swimming pool has a perimeter of 132 feet and is 21 feet wide what is its area? A)945 SF B)2772SF C)111 SF D)1890 SF
Answer: A)945 SF Area=L X W Perimeter= 2(L) +2(W) L=132 W=21 132=2(L)+2 *21 132=2(L)+42 132-42=2L 90=2L L=45 Area=4521=945 SF
Tom has been saving for a new car and finally has the money to make the deal. He put down $3,800 and will be paying $325 a month for 5.5 years. What is the total cost of his purchase? A)$23,300 B)$25,250 C)$21,450 D)$19,500
B) $25,250 **The total cost of the car= down payment + total installments $3,800 + ($325 x 5.5 years x 12 months in a year) 3,800 + (325 x 5.5 x 12) = 3,800 + 21,450 The total cost of the car = $25,250
A machine prints 30 newspaper in 20 minutes. At this rate how many hours newspaper will it take to print out 900 newspaper? A)7 B)8 C)9 D)10
C)10 *900 newspapers/ 3/2 per minute= 1800/3 *1800/3= 600 minutes 600/60= 10 minutes per hour If the machine prints 30 newspapers in 20 minutes, it prints: (30 newspapers)/(20 minutes) = 3/2 newspapers per minute. To calculate the time to print 900 newspapers: (900 newspapers)/(3/2 newspapers per minute) = 1800/3 = 600 minutes ÷ 60 minutes per hour = 10 hours
A pizza with a 18 inch diameter is cut into 12 equal slices. What is the area of each slice ? How many linear inches of crust does each one have? What is the total perimeter of each slice?
C=3.14*2 C=3.14'(18 inch) C=18(3.14) 18(3.14 inches)/12=6/4(3.14inches)=1 1 1/2 (3.14) inch P=1.5(3.14)+9 inch+9inch P=18+1.5(3.14) inch total perimeter of each slice
If a circle has a radius of 18 feet, whats the closet approximation for circumference? A) 108 B)113 C)54 D)36
Circumference= 3.14 * 2 But since diameter= 2 * radius Circumference=2(3.14) * radius 2*3.14*18=113.04 feet=113 feet
Harry takes four math exams. His scores are 87,94,89, and 86. What is his average over his four exams? A)87 B)88 C)89 D)90
D)90 To calculate the average we must: (Score A + Score B + Score C + Score D)/(number of exams) = (87 + 94 + 89 + 86)/4 =356/4 = 89
6(x+5)+8=2 A)−2 B)6 C)36 D)−6
Explanation: 6x+30+8=2 6x+38=2 6x=−36 x=−6
If y inches of rain falls in one minute, how many inches will fall in p hours? A)60yp B)60y C) 60py D)60p
Explanation: This is a question that involves quantity, rate and time, which is also given as: Quantity=rate x time To find the amount of rain (quantity) that falls in p hours (time) at y inches per minute (rate), first convert p hours to minutes: phours⋅60minutes1hour=60pminutes The amount of rain that falls in p hours is: Amountofrain=yinchesminute⋅60pminutes Amountofrain=60py
The average of 80, 46, 32, and 22 is ___. A)48 B)45 C)36 D)42
Explanation: To obtain an average, add the numbers given and then divide by the amount of terms in the problem. This produces the mean (average). In this problem: 80+46+32+22=180÷4(number of terms)=45
(x+6)(4x+8)=(x+6)(4x+8)= ____ A)4x2+32x+32 B)4x2+32x+48 C)4x2+14x+48 D)4x2+32x+14
Explanation: Use the distributive property of multiplication when multiplying two binomials, such as in this case. It means that each term in the first binomial (x+6)(x+6) must be multiplied by each term in the other binomial (4x+8)(4x+8), that is: (x+6)(4x+8) x(4x+8)+6(4x+8 4x2+8x+24x+48 Combining like terms, we have: 4x2+32x+48
You just bought 4 take-out Mexican dinners. They were priced $14.96, $14.96, $15.75, and $17.85. You had a coupon to "buy one, get a second one for half-price on all items that are the same price." (Only 1 coupon per purchase allowed). What is the total amount you paid? A)$63.52 B)$56.04 C)$55.25 D)$58.04
From the dinners bought, two items have the same price ($14.96) and qualify for the coupon that gives half-price on the same second dinner. The total amount paid then is: Total amount paid: $14.96+($14.96÷2)+$15.75+$17.85=$56.04
Tara earns twice as much as per hour as Kayte. Kayte per more hours than Austin. As a group they earn $41 hours per hour. what is Austin hourly wage? A)$8.00 B)$8.50 C)$8.75 D)$9.50
If Austin's hourly wage is x, then Kayte's wage is (x+3), so Tara's wage is 2(x+3). Together they earn $41 per hour, so we can write the equation: x+(x+3)+2(x+3)=41 x+x+3+2x+6=41 4x+9=41 4x=32 x=8 Austin's hourly wage is $8 per hour
If n = 6 what's the value of 9n2+3n+29n2+3n+2 ? A)342 B)306 C)344 D)340
SOLUTION 9n2=9×62=9×36=3249n2=9×62=9×36=324 3n=3×6=183n=3×6=18 324+18+2=344
If a square box has a volume of 27 in3in3 what's the perimeter of each side of the box? A)6 inches B)12 inches C)9 inches D)15 inches
SOLUTION A square box is a cube which means that length = width = height. Volume for a cubic box is the length of one side of the box cubed or V = s3s3 where s is the length of one side of the box. The cube root of 27 is 3 so the size of each side of the box is 3. The perimeter of a box is 2w + 2h which, in our case, is: (2 inches x 3) + (2 inches x 3) = 6 inches + 6 inches = 12 inches
If a square box has a volume of 8 in3in3 what's the perimeter of each side of the box? A)4 inches B)10 inches C)8 inches D)6 inches
SOLUTION A square box is a cube which means that length = width = height. Volume for a cubic box is the length of one side of the box cubed or V = s3s3 where s is the length of one side of the box. The cube root of 8 is 2 so the size of each side of the box is 2. The perimeter of a box is 2w + 2h which, in our case, is: (2 inches x 2) + (2 inches x 2) = 4 inches + 4 inches = 8 inches
Connie scored 55% on her final exam. If each question was worth 7 points and there were 140 possible points on the exam, how many questions did Connie get right? A)63 B)9 C)77 D)11
SOLUTION Connie scored 55% on the test meaning she earned 55% of the possible points on the test. There were 140 possible points on the test so she earned 140 x 0.55 = 77 points. Each question is worth 7 points so she got 77 ÷÷ 7 = 11 questions right
20 is 14% of what number? A)142.86 B)280 C)14.29 D)2.80
SOLUTION First, create an equation using the variable nn to represent the number that we're looking for: 20 is 14% of nn which translates to 20=14%×n20=14%×n. Converting 14% to a decimal by dividing it by 100 gives us the equation 20=0.14n20=0.14n and solving for n by dividing both sides by 0.14 gives us the answer 142.86. NOTE You know that 20 is 10% of 200. Because 14% is larger than 10% you know that the answer to this question has to be smaller than 200 but approximately the same magnitude. Knowing this you may be able to cross off a couple of possible answers (or even identify the correct answer) right from the start
What's the circumference of a circle that has a radius of 6? A)9.42 B)177.65 C)75.40 D)37.70
SOLUTION The circumference (C) of a circle in terms of the radius of the circle is defined as: C=2πrC=2πr For this problem, that's: C=2×3.1416×6=37.70
Which of the following is the correct calculation for 7! : A)0×1×2×3×4×5×6×70×1×2×3×4×5×6×7 B)1×2×3×4×5×6×7×81×2×3×4×5×6×7×8 C)1×2×3×4×5×61×2×3×4×5×6 D)1×2×3×4×5×6×7
SOLUTION The factorial of a number is the product of all positive integers less than or equal to the number. So, the factorial of 7 is 1×2×3×4×5×6×71×2×3×4×5×6×7 which is 5,040
Connie loaned Sam $1,000 at a yearly interest rate of 5%. After one year what is the interest owed on this loan? A)$50 B)$1,050 C)$60 D)$5
SOLUTION The yearly interest charged on this loan is the annual interest rate (5%) multiplied by the amount borrowed ($1,000). To get the interest charged first convert the interest rate from a percentage to a decimal by dividing by 100 (5 / 100) to get 0.05 then multiply 0.05 by $1,000 to get $50 NOTE When you're dealing with percentages you'll always need to convert the percent to a decimal by dividing by 100 before doing any calculations with it.
13 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation? A)2 B)1 C)0 D)3
SOLUTION There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 13 members of the bridal party who need transporting so 13 - 12 = 1 person who will have to find other transportation.
A bread recipe calls for 3 14/14 cups of flour. If you only have 2 38/38 cups, how much more flour is needed? A)9898 B)7878 C)198198 D)178178
SOLUTION To solve this problem first rewrite each fraction with a common denominator: 3 1414 = 124+14=134=268124+14=134=268 2 3838 = 168+38=198168+38=198 Then subtract: 268−198268−198 = 7878 more cups of flour.
What is the quotient of 6.69 and 0.83? A)7.52 B)8.06 C)5.86 B)5.55
SOLUTION You find the quotient of two numbers by dividing them. 6.69 / 0.83 = 8.06
Eight girls in a club are comparing their weekly allowance. Jan and Sue each receive $10 a week. Lori and Tina each receive $5 a week. Julie, Christie and Faith each receive $12 a week. Cheryl does not get an allowance but her parents often buy her things as she needs them. What is the average amount of allowance given among these 8 girls? A)$8.25 B)$7.00 C)$9.42 C)$6.75
The average is solved by adding all of the values given and dividing the total by the number of values: Average =(10+10+5+5+12+12+12+0)8=668=8.25(10+10+5+5+12+12+12+0)8=668=8.25 Average allowance = $8.25
Your new remodel is almost done. The contractor needs to put the final framing on and needs 8 sections, measuring 4 feet, 2 inches each. The framing is available from the supplier by 10-foot lengths only. What is the total length of the lumber that needs to be purchased? A)48 feet B)34 feet C)30 feet D)40 feet
The contractor needs 8 pieces of 4-foot, 2 inch framing. A 10-foot lumber can be made into two pieces of framing. In order to complete the 8 pieces needed, the contractor needs to order 4 pieces of 10-foot long lumber. So, 4 pieces x 10 feet = 40 feet of framing The contractor actually only needs a total of 34 feet of framing, but lumber is usually cut and sold in even lengths by feet (such as 10, 12, 14 and 16 feet). And as stated in this question, the lumber availability was in 10-foot length
You work in a hospital and make $15.28 per hour for a 40 hour a week. If you work the night shift you get a slight differential added at $2.32 per hour worked during this shift. You just completed your first week and worked 34 hours on a regular shift and 6 hours on the night shift. What is the total amount you earned this week? A)$519.52 B)$615.20 C)$625.12 D)$611.20
The correct answer is: $625.12 Explanation: The total amount earned is computed by adding the amount earned for the day shift and the amount earned for the night shift. Amount earned for the day shift = 34 x 15.28 = $519.52 Amount earned for the night shift = 6 x (15.28 + 2.32) = 6 x 17.6 = $105.60 The total amount earned for the week = $519.52 + $105.60 = $625.12
Find the average of the following numbers: 12, 14, 29, 38, 22 A)23.0 B)22.9 C)28.8 D)23.1
To find the average of these 5 numbers add them together then divide by 5: 115 / 5 = 23.0
The distance between cities A and B is approximately 1,800 miles. If you drive an average of 55 miles per hour, how many hours will it take you to drive from city A to city B? A)approximately 22 hours B)approximately 36 hours C)approximately 24 hours D)approximately 33 hours
Use the formula for distance, speed and time: *Distance = speed x time 1800 mile = 55 miles per hour x time Time = 1800/55 = 32.73 hours or approximately 33 hours