Ace the ASVAB Math

 Ace the ASVAB Math Section: Real Exam Questions Solved

To excel in the ASVAB Math section, it's important to understand the types of questions that may appear and practice solving them efficiently. Here’s a breakdown of common topics, with examples and solutions for each.

Topics Covered in the ASVAB Math Section

Arithmetic and Number Operations , Fractions , Decimals , Percentages , Ratios and Proportions , Algebra , Word Problems 

Arithmetic and Number Operations

Example: What is $423 \div 12$?

Solution: To solve $423÷\mathrm{12,\; simply\; divide\; the\; two\; numbers.}$

$$423÷12=35.25$$

Answer: 35.25

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Example: Simplify $\frac{3}{4} + \frac{5}{8}$.

Solution: First, find a common denominator. The least common denominator (LCD) of 4 and 8 is 8.

Rewrite $\frac{3}{4}$ as $\frac{6}{8}$, so the problem becomes:

$$\frac{6}{8}+\frac{5}{8}=\frac{11}{\mathrm{8}}$$

Answer: $\frac{11}{8}$ or 1 $\frac{3}{8}$.

Example: If 3 pencils cost $1.50, how much do 12 pencils cost?

Solution: First, set up a proportion:

$$\frac{3}{1.50}=\frac{12}{\mathrm{x}}$$

Cross multiply:

$$3x=12\times 1.50\mathrm{<br>}$$$$3x=18$$

Now, divide both sides by 3:

$$x=\frac{\mathrm{18/}}{3}=6$$

Answer: $6

Example: Solve for $x$ in the equation $2x + 5 = 15$.

Solution: Start by isolating $x$. Subtract 5 from both sides:

$$2x=10$$

Now, divide both sides by 2:

$$x=\frac{\mathrm{10/}}{2}=5$$

Answer: $x=5$

Example: A car travels 180 miles in 3 hours. How far will it travel in 5 hours at the same speed?

Solution: Find the rate of travel by dividing the distance by the time:

$$\text{Rate}=\frac{180\text{ miles}}{3\text{ hours}}=60\text{ miles per hour}$$

Now, multiply the rate by the time:

$$60\times 5=300\text{ miles}$$

Answer: 300 miles

Tips for Success on the ASVAB Math Section,

Master the basics: Knowing how to perform arithmetic operations quickly and accurately is crucial.

Use a calculator when allowed: For more complex calculations, a calculator will save time.

Practice with word problems: Read carefully to identify the right steps and formulas.

Focus on conversions: Know how to convert between fractions, decimals, and percentages.

Work efficiently: Learn shortcuts and methods to solve problems faster.

By regularly practicing and reviewing these concepts, you'll boost your confidence and your score on the ASVAB Math section!