ASVAB – Arithmetic Reasoning – AR

The Arithmetic Reasoning (AR) sub-test is common to both the CAT ASVAB and the pencil and paper version of the examination. It is designed to evaluate your high school knowledge of Mathematics. The Arithmetic Reasoning (AR)questions need to be answered carefully because the score of this subtest will form a part of the AFQT or Armed Forces Qualification Test score.


  • An essential point to remember here is that students taking the CAT ASVAB will have to solve 16 ASVAB Arithmetic Reasoning questions in 39 minutes,
  • Students taking the pencil and paper version have to solve 30 questions in 36 minutes.

ExamFocus’ Practice Support

The information mentioned above provides an insight into the nature of the sub-test. However, if you want to ace the examination, you must know the topics covered under the Arithmetic Reasoning (AR) sub-test. Ensure that you have practiced this section well before you decide to take the test. A perfect score can be achieved only if you practice and prepare well. Use ExamFocus’ sample practice questions to get your skills sharpened.

Testing & Scoring Scheme

  • The Arithmetic Reasoning (AR) sub-test of the ASVAB covers the Mathematical topics -basic concepts of arithmetic, concepts of percentages, ratio and proportion, questions on interest and numbers.
  • The score you receive for the Arithmetic Reasoning (AR) sub-test is reported separately as an ASVAB Standard Score.
  • Moreover, this score is also taken into account while calculating your percentile rank.

Students taking the CAT ASVAB will have to solve 16 Arithmetic Reasoning questions in 39 minutes, while those appearing for the pencil and paper version have to solve 30 such questions in 36 minutes.

Question Modeling & Syllabi Brief

The following are the concepts from which you shall have to face questions in this sub-test:

  • Basic concepts of Arithmetic: These problems will require you to use preliminary concepts of Arithmetic like addition, subtraction, division and multiplication.
  • Concepts of percentages: These problems will require you to use your knowledge of percentages, cost price, sale price, discount etc.
  • Ratio and proportion: The ratio and proportion questions under Arithmetic Reasoning can be solved by using simple formulas.
  • Questions on interest: The questions on simple and compound interest will require you to apply various formulas that you have studied as a part of your high school curriculum.
  • Numbers: These particular questions will examine your knowledge of whole numbers, real numbers, fractions, decimals and imaginary numbers. These questions will also evaluate your knowledge of certain basic Arithmetic formulas.

How to Improve Your Skills

No branch of Mathematics can be mastered without proper practice and the Arithmetic Reasoning sub-test, of the ASVAB examination, is no exception to this rule. This article provides the topics and some sample questions, but preparing for the examination depends entirely on you. So, work hard and solve as many Arithmetic problems as you can in order to ensure good results.ExamFocus brings to you hundreds of Arithmetic Reasoning (AR) practice questions that are designed to cover all the topics concerning the test to help you improve upon your skills. On clicking the following five links, you shall go to the page that offers hundreds of sample questions for your practice.