(ASVAB) Arithmetic Reasoning

A child is selling bars for a school fundraiser. He starts with 65. If he has 13 left, how many did he sell?

A child is selling bars for a school fundraiser. He starts with 65. If he has 13 left, how many did he sell?

52

To calculate how many bars the child sold, subtract the number he has left (13) from the number he had originally (65) : 65 - 13 = 52.

A woman must drive 298 miles to reach her destination. If she travel 42 miles during the first day, how many miles will she have yet to travel?

256

298 miles - 42 miles = 256 miles

Jake's final grade in math class is determined by the average he gets on six tests in the class. So far, Jake has earned a 97, 89, 85, 90, and 99 on the first five tests. What grade must Jake earn on the sixth test to get a 93 average in the class?

98

The average is found by adding the total of all scores and dividing it by the number of scores. Since we know the average jack wants (93), and we have all the scores from Jake's tests except one, we can set up an equation with A representing Jake's score on the 6th test.

(97 + 89 + 85 + 90 + 99 + A) ÷ 6 = 93 97 + 89 + 85 + 90 + 99 + A = 93 x 6 460 + A = 558 A = 558 - 460 = 98

Oscar purchased a new hat that was on sale for $5.06. The original price was $9.20. What percentage discount was the sale price?

45%

The percentage discount is the reduction in price divided by the original price. The difference between original price and sale price is: $9.20 - $5.06 = $4.14 The percentage discount is this difference divided by the original price: $4.14 ÷ $9.20 = 0.45 Convert the decimal to a percentage by multiplying by 100%: 0.45 x 100% = 45%

Rachel is driving to visit her mother, who lives 250 miles away. How long will the drive be, round-trip, if Rachel drives at an average speed of 40 mph?

750 minutes

The distance from Rachel's house to her mother's house is 250 miles, so round-trip, the distance is 500 miles. Plug this into the distance formula: d = rt 500 = 40t 500 ÷ 40 = t 12.5 = t It takes Rachel 12.5 hours to make the round-trip drive. Multiply by 60 to find the answer in minute. 12.5 x 60 = 750 minutes.

A car has a 15-gallon gas tank. If a car gets 32 miles per gallon and travels 384 miles, how many gallons will be left in the tank?

3

The car will have used 12 gallons (384 miles/32 miles). Therefore, there will be 3 gallons left in the tank (15 gallons - 12 gallons).

A mail carrier can deliver mail to 1,400 different homes in one day. In the city of Utopia, there are 52,800 homes. How many mail carriers must be hired to deliver mail to all of the homes of Utopia each day?

38

To find the number of required mail carriers, simply divide 52,800 by 1,400 to get 37.714. Therefore you must round up and you have 38 mail carriers.