Arithmetic Reasoning ASVAB Terms

1. The words combine, together, and sum suggest what mathematical operation?

Addition

2. What is the smallest number that has 3 and 8 as factors?

24

3. A pair of shoes that originally sold at $30 is now being offered at a 25% discount. What is its present price?

$22.50

4. In this series of mathematical operations 3 - 24 / 8 + 2 (3^3), what operation is the first to be performed?

The exponent operation (or raising to the exponent/power)

5. The numbers 25% and ¼ are the same as the decimal number ____?

 0.25

6. An arithmetic question that asks about the quotient or ratio of two numbers tells you to perform what mathematical operation?

Division

7. Identify the irrelevant information in this mathematical question: “Find the ratio of cats to dogs in a pet shop if there are 24 cats, 36 dogs, and a total of 100 animals.”

A total of 100 animals.

8. The fractions 8/24, 9/27, and 12/36 are equivalent fractions. What is their simplest form?

1/3

9. When asked for “0.50 of 12,” what operation is performed?

Multiplication

10. If Emma bakes 120 cupcakes in one hour, how many cupcakes can she bake in 2 days if she works 4 hours a day?

960 cupcakes

11. What operations will be used to solve this question? “In a class, 2 out of 3 students are girls. How many girls are there if there are 60 students in all?”

Division, then multiplication OR multiplication, then division. Explanation: 60/3(2)=40

12. In the following question, what number is unnecessary to find the correct answer? “A bus seats 50 people and it is filled to half its capacity. How many people are there if 3 rows of seats are empty?”

3.

Explanation: 50/2 =25 Remember, you are not asked to find the answer here, but the question asks which number in the problem is unnecessary. That number is 3. You do not need it to find the answer.

13. What information is irrelevant in this question? A third of a 2-dollar candy bag was already consumed and 3 boys divided the remaining contents equally among themselves. What is the cost of the portion that each boy got if each got 6 pieces?

6 pieces of candy

14. How many minutes will it take Tony to travel by car from his house to his workplace if the distance is 6 miles and he drives at 50 mph?

7.2 minutes.

Explanation: Time = Distance/Speed

15. Can this question be solved with only the given information? “A basket contains 48 pieces of strawberries and grapes. If the ratio of strawberries to the total is 1:4, how many grapes are there?”

Yes