ASVAB Arithmetic Reasoning Practice Test 2023 Sample Questions Answers (PDF)

This is a simple addition problem. Add the amounts to get the total of $14.74.

This problem has two steps. First, you need to add the amount spent. Then you need to subtract that amount from the $100 bill. The total amount spent is $90.49, so, subtracting that from $100, the change is $9.51. 

. In order to calculate the percent, you need to divide the total number of items into the number answered correctly. In this case, you would divide 45 into 38 and get 0.8444. To change that to a percent, move the decimal point two places to the right and add the percent sign to get 84.44%. Since the question asks for the nearest percent, the answer would be 84%.

To find the average, add up the numbers and divide by the number of numbers. In this problem, the numbers add to 400. Dividing that by 5
gives the correct result of 80 as the average.

This problem needs to be completed in two steps. First, you need to determine what percent of chocolates have nuts, then you subtract that from 100% to determine what percent do not have nuts. So, dividing 9 by 45 results in the percent that have nuts, which is 20%. Subtracting that number from 100% gives the correct answer: 80% of the chocolates do not have nuts. 

To find the ratio of one number to another, create a fraction to show the relationship. In this problem, there are 6 female club members out of a total of 48 members. So the fraction that shows the relationship is 6/48 . This fraction needs to be simplified to 1/8 , the correct answer. You might see a ratio written as 1:8 on the ASVAB test. 1/88and 1:8 mean the same thing. 

If Vanessa has 192 pages of reading and reads 48 pages each day, on Monday she has read 48 pages, on Tuesday she has read 2(48) or 96 pages, on Wednesday she has ready 3(48) or 144 pages, and on Thursday she has read 4(48) or 192 pages. Thursday is the correct answer. Another way to do this is to divide 192 by 48 to get 4. If Monday is 1, Tuesday is 2, Wednesday is 3, and Thursday is 4. Again, Thursday is the correct answer. 

Probability = number of favorable outcomes/number of possible outcomes. In this problem, a favorable outcome would be selecting a dime.
There are 112 dimes or favorable outcomes. The number of possible outcomes is the sum of all the coins, or 94 + 44 + 112 = 250. So
Probability = 112/250 Simplified, this is 56/125

Simple interest problems use the formula I = prt, where I is the amount of interest, p is the principal or the amount saved or invested, r is the rate of interest, and t is the amount of time that the interest is accruing. In this problem, you are asked to find the interest, given that the principal is $4,000, the rate of interest is 4%, and the amount of time is 3 years. Substituting this information into the formula, you get

I = 4,000(0.04)(3) = $480 of interest

The Booster’s Club has 250 members and wants to reach 376 members in 90 days. Subtracting 250 from 376, the club needs to attract 126 new members. To do this in 90 days, the club must attract 126 ÷ 90 = an average of 1.4 members each day

Here you need to calculate the number of square feet in the garden and then determine how many ounces of fertilizer are needed. The area of
a rectangular garden is calculated by multiplying the length × the width. So in this problem, the area is 21 ft². If you need 2 oz of fertilizer for
every square foot, then you need to multiply 2 by the number of square feet. 21 × 2 = 42 oz 

Calculate the cost of the two CDs:
$16.99 × 2 = $33.98
Reduce that amount by 20% by multiplying the
total cost by 0.20:
0.20 × 33.98 = $6.80
Subtract $6.80 from the original cost:
$33.98 – $6.80 =  $27.18 

Use the following formula: Percent of change = (amount of change / starting point) 

Set this up as an equation. A number plus 2
times that number is 300.
x + 2x = 300

Solve for x.
3x = 300
x = 100
So one number is 100 and the other is twice that, or 200. 

To answer this question, you need to know the perimeter of the frame. For a rectangle, the perimeter is 2l + 2w. If w = 8 and l = 10, then
the perimeter = 2(8) 2(10) = 36 inches. At $0.50 per inch, multiply 36 × $0.50 to get the price of the wood. 36 × $0.50 = $18.00  /su_spoiler]

Q17. The distance across the circular mouth of a volcano running through its center is 75 yards. What is the distance around its mouth?

• A. 145.5 yd
• B. 215.5 yd
• C. 235.5 yd
• D. 315.5 yd

. To find the circumference of a circle, use the formula C = 2r. In this problem, you are given the diameter. You need to use the radius, which is ½ d, or 37.5 yards. Substitute the information into the formula.

C= 2Π(37.5)
C= 2(3.14)(37.5) = 235.5 yd
Note that you can skip a step if you remember the formula C = Πd. Substitute the information you have. C = Π(75) = 235.5 yd

In this problem, you need to find 1/3 of 39. Dividing 39 by 3 gives you 13.

Create an equation to solve this problem.
Dave = Brian – 2.
You are told that Brian is 17. Substitute that information into the formula.
Dave = 17 – 2
Dave = 15 

Create equations to solve this problem.
Al = 3(Bill)
Bill = 2(Charlie)
Charlie = $5.89
Solve for Al. Substitute what you know into the formulas.
Bill = 2($5.89)
Bill = $11.78
To find Al, substitute what you know about Bill.
Al = 3($11.78)
Al = $35.34

In this problem, you need to calculate the number of 16-mpg units there are in 1,344. Do this
by dividing 1,344 by 16.
1,344 ÷ 16 = 84 gallons 

To solve this problem, use the formula V = Iwh. You have been given the dimensions of l = 28 ft, w = 12 ft, and h = 6 ft. Substitute that
information into the formula. V = (28)(12)(6), V = 2016 ft³ 

You need to calculate the perimeter of the garden. The perimeter is the sum of all the sides, or use the formula P = 2l + 2w. You are given the
dimensions of 6 feet and 15 feet. Substitute that information into the formula.

P = 2(6) +  2(15)
P = 42 ft

To calculate 14% of 5,000, multiply 5,000 by 0.14.
5,000(0.14) = 700 votes 

To calculate the volume of a cylinder, use the formula V = r²h. In this problem, the radius is 9 m. The height is given as 3.5 m. Substitute that information into the formula.

V = (3.14)(9²)(3.5)
V = (3.14)(81)(3.5)
V = 890.19 or 890.2 m³ 

Use the formula C = 2r or C = d. You are given a diameter of 8,000 miles. Substitute that into the formula.
C = (8,000)
C = 3.14(8,000)
C = 25,120 mi 

To calculate the answer to this question, add up the amount of the checks and subtract that from the current amount in the checking account.
$4,355.19 – ($1,204.90 + $890.99) = $2,259.30

Multiply $585.00 by 0.75 to get $438.75.

Calculate the total cost of the items and then multiply by 20% to determine how much Danny will save.
$750 + $398.75 + $149.98 + $24.99 = $1,323.72
$1,323.72 × 0.20 = $264.74 savings from the sale 

In this problem, you know two of the three angles, one measuring 55° and the other measuring 90°. Together those two angles measure 145°. Since a triangle has a total of 180°, the third angle must measure 180° 145° 35°