AFQT Arithmetic Reasoning Exam 1

Question 1

Richard drives from his home to work at an average speed of 50 miles per hour. Later he drives from his work to home at a speed of 60 miles per hour. What is his average speed over the two trips?

Accepted Answer

54.5 miles per hour

Answer

To calculate the average speed for a round trip, you must use the formula Total Distance / Total Time. Let 'd' be the distance one way. The time for the first trip is d/50 hours, and for the return trip is d/60 hours. The total distance is 2d, and the total time is (d/50 + d/60) = (6d/300 + 5d/300) = 11d/300 hours. Dividing total distance by total time (2d / (11d/300)) gives 600/11, which is approximately 54.54 miles per hour, rounded to 54.5 mph.

Question 2

On a map of the Pacific Northwest, the scale is such that 1 inch equals 6 miles. Using the map, the distance from Seattle to San Francisco is 113 1\/3 inches. How far is the round trip from Seattle to San Francisco in miles, rounded to the nearest mile?

Accepted Answer

1,360 mi.

Answer

First, calculate the one-way distance from Seattle to San Francisco using the map scale. Given 1 inch equals 6 miles, a map distance of 113 1/3 inches translates to (113 + 1/3) * 6 miles, which is (340/3) * 6 = 680 miles. For a round trip, this distance must be doubled: 680 miles * 2 = 1,360 miles.

Question 3

What is the fifth number in the series 3, 6, 12, 24?

Accepted Answer

48

Answer

Observe the pattern in the given series: each number is obtained by multiplying the previous number by 2. Following this rule, 3 * 2 = 6, 6 * 2 = 12, and 12 * 2 = 24. To find the fifth number, multiply the fourth number (24) by 2, which gives 48.

Question 4

How many hours are there in one week?

Accepted Answer

168

Answer

To find the total number of hours in one week, you need to know that there are 7 days in a week and 24 hours in a day. Multiply these two values together: 7 days * 24 hours/day = 168 hours.

Question 5

Amanda's bank account has a balance of $928.16. She deposits a check for $412.83 and then uses her bank card to pay fro a $17.22 lunch, get $36.59 worth of gas and buy a new pair of shoes for $67.90. How much money does she have in the bank account at the end of the day?

Accepted Answer

$1,219.28

Answer

Start with Amanda's initial bank balance of $928.16. Add the deposited check of $412.83 to get $1,340.99. Then, subtract each of her expenses: $17.22 for lunch, $36.59 for gas, and $67.90 for shoes. Performing these subtractions sequentially ($1340.99 - $17.22 - $36.59 - $67.90) results in a final balance of $1,219.28.

(AFQT) Armed Forces Qualification Test Practice Test

(AFQT) Armed Forces Qualification Test Practice Test

AFQT Arithmetic Reasoning Exam 1