ASVAB Arithmetic Reasoning Practice Test

 ASVAB Arithmetic Reasoning Practice Test

The Arithmetic Reasoning section of the ASVAB tests your ability to solve word problems involving basic mathematical operations and reasoning. Here’s a guide to help you prepare effectively for this section, 

Common Topics Covered

Familiarize yourself with these topics ,

Basic Arithmetic: Addition, subtraction, multiplication, and division. Fractions, decimals, and percentages. 

Word Problems: Time-distance problems, Work-rate problems, Money and budget calculations, Ratios and proportions.

Basic Algebra: Solving for a variable in simple equations, Setting up equations based on word problems.

Geometry Concepts: Perimeter, area, and volume, Basic properties of shapes.

Logic and Reasoning: Understanding sequences and patterns, Interpreting data from charts or tables.

Key Strategies

Read Carefully: dentify what the problem is asking. Highlight key numbers and terms like "total," "difference," or "per. Pay attention to units.

Translate Words into Equations: "Sum" or "total" → Addition, "Difference" → Subtraction, "Product" → Multiplication, "Quotient" → Division.

Sample Questions

Question 1: Percentage : A store is selling a jacket for $80 after a 20% discount. What was the original price of the jacket?

Solution:

• Let the original price be $x$.

$$x - 0.20x = 80$$ $$0.80x = 80$$ $$x = \frac{80}{0.80} = 100$$

Answer: $100.

Question 2: Distance Problem: A car travels at 60 miles per hour. How far will it travel in 3.5 hours?

• Solution:
  Distance = Speed × Time.

$$\text{Distance} = 60 \times 3.5 = 210 \, \text{miles}.$$

Answer: 210 miles.

Question 3: Work Rate: If it takes one person 4 hours to mow a lawn, and another person 3 hours, how long will it take them to mow it together?

Solution:
The rate of the first person is $\frac{1}{4}$ lawns/hour, and the second is $\frac{1}{3}$ lawns/hour.
Combined rate = $\frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12}$.
Time taken = $\frac{1}{\text{combined rate}} = \frac{1}{\frac{7}{12}} = \frac{12}{7} \approx 1.71 \, \text{hours}.$
Answer: Approximately 1 hour and 43 minutes.

Resources for Practice

Official apps like ASVAB Tutoring and AFOQT Tutoring offers you to free practice resources and also have one to one tutoring facility.

Tips for Success

Practice consistently: Solve a few word problems daily. Review weak areas: Focus on topics where you struggle. Simulate test conditions: Take timed practice tests to build confidence.

PRACTICE MORE WITH ONE ONLINE TEST AND IMPROVE KNOWLEDGE