# ASVAB Test Blog

# ASVAB Math Questions to Practice!

**Math Questions on the ASVAB Exam**

**You must answer 16 ASVAB math questions in 20 minutes. That’s just 1.25 minutes per question. Not long! The key to success at ASVAB math is long-term preparation. The more practice, the better; and the higher score you will achieve.**

ASVAB math questions are the same standard as high school math.

Whilst candidates are not expected to be a mathematician, they are expected to have a rounded knowledge of how to work through math operations: step-by-step, and in a logically coherent manner.

Candidates who score high on ASVAB math questions demonstrate greater critical thinking skills. Of course, critical thinking skills are transferrable skills – that you can apply to other domains of your work and career.

This is what the ASVAB exam tries to tease out; to identify the best candidates that can work effectively in their chosen target branch and role in the US military.

**ASVAB Math Questions that Get Tested**

You cannot even begin to succeed at the ASVAB math exam without putting together a **detailed, comprehensive plan**. Central to this plan is, of course, the ASVAB syllabus: the topics that are guaranteed to get tested.

With this plan to hand, you can create a study plan that addresses each of these subject areas.

Not just the theory, but plenty of ASVAB test practice too! Ultimately, practicing math questions is the key to your success – because test questions identify where you have gone wrong; where your strengths lie; and where you need to calibrate and adjust your study plan to address weaker topics.

Subjects that get tested on ASVAB Math Knowledge exam include:

**Decimals and percentages****Algebra****Probability****Fractions****Math vocabulary****Geometry**

The second last one of these topics – math vocabulary – is particularly important.

Do you know the meaning of the following terms?

**Prime number****Factorial****Square root****Integers****Exponents****Improper fractions**

And this isn’t even an exhausted list!

Ultimately, if you don’t know the meaning of these words, how can you possibly go about trying to solve a question that involves them?

To succeed at ASVAB math questions, **you must understand the vocabulary**.

**Flashcards **are an effective tool to help you with this. On one side of the card, put the term. On the flipside, note the definition of the word and a sample ASVAB math problem – answered in a step-by-step, logical manner. Put notes beside the answer process if this makes things easier.

Flick through these cards once a day and you’ll be surprised just how fast you commit the above terms to memory!

**Sample ASVAB Math Questions**

We have already done the hard work for you.

Access our **free ASVAB math questions** now and see how you perform. Full answer explanations are provided at the end of each question.

Don’t fret if you get most questions wrong. That’s inevitable – and the start of the process to work through each of the above listed topics. In time, and by taking more ASVAB test practice questions, you will close many of these knowledge gaps.

It’s certainly not easy – but given the high competition for places in the military, it’s essential that you score higher than other candidates to even have a chance of making it through.

Note: you can also access thousands more ASVAB practice questions by becoming a **member of ASVAB Test Practice**.

**Practice Questions!**

Now it’s time to put your knowledge of math into practice.

Here, we have put together three exam-style practice questions for you to try. Take out the pen and paper and work through each of these problems.

Always double check your work!

You can find answer explanations below but try to attempt the questions first.

**Simplify (***x*^{2})(*x*^{3})**Solve for x: 2(x + 7) = 4(x -5)****If 12.5% of a number is 8, what is the number?****What is 5!**-
**Convert to decimal form: 2.1 x 10**^{-4}

**Correct Answers**

Question 1: **Simplify ( x^{2})(x^{3})**

Remember: when multiplying exponents, we must add them together.

Rule: *x*^{a} * *x*^{b} = *x*^{(a + b)}.

In this case, we must add the exponent 2 + 3, so the answer is *x*^{5}.

Question 2:** Solve for x: 2 (x + 7) = 4 (x -5)**

First, we multiply out the brackets.

2x + 14 = 4x – 20

Then, we move x’s to one side, and integers to the opposite side.

2x – 4x = – 20 – 14

-2x = -34

x = 17

Remember: when we move a number or x value to the opposite side of the =, we must change sign: so, a + 14 becomes a – 14.

Question 3: **If 12.5% of a number is 8, what is the number?**

There are multiple ways in which we can solve this, including by turning the question into an equation that involves algebra.

(12.5 / 100) . x = 8

12.5x / 100 = 8

12.5x = 800

x = 64

Alternatively, and perhaps more simply, we can recognize that 12.5% is the same as one-eighth of 100. Then, we can simply multiply 8 x 8 to arrive at 64.

Question 4: **What is 5!**

! is not just an exclamation mark.

It’s also the mathematical term for “**factorial**”.

Factorials are used to determine probability. For example: if you have a row of 5 balls, each of which is labelled 1, 2, 3, 4, 5 – the chances of correctly guessing the order if they were to come out of a lottery machine is 1 in 120.

5! is used to represent that.

To work out 5!, we simply need to **multiply down from 5**.

5 x 4 x 3 x 2 x 1 = 120

Therefore, there is a 1 in 120 chance of guessing the correct order.

Question 5: **Convert to decimal form: 2.1 x 10**^{-4}

When we multiply 50 x 10, it’s 50**0**: *we add an extra 0*. Similarly, if we multiply 50 x 10^{-1}, the decimal point is moved one place to the left: 5.0.

*That’s because the number 50 is the same as ***50.0**

The same principles apply to this question: 2.1 x 10^{-4}

As the exponent of 10 is negative four, we must move the decimal point 4 places to the left.

2.1

0.21

0.021

0.0021

**0.00021**

**Take Home Message**

Success at ASVAB math questions depends on how much time you invest to understand the principles involved in solving math questions, as well as taking that extra time to practice as many ASVAB test practice questions as possible.

That way, you can attack the knowledge domain from all angles, and maximize your performance on the day of your ASVAB test.

**Never skip steps in solving math problems.**

*Even if you are confident about a given question*, it’s very easy to overlook a step or a number – particularly in math. Always take your time; work methodically through the question; and double-check the process at the end.

Build this **defined structure of answering questions** into your study.

That way, you can slowly but surely develop the knowledge and skill needed to succeed at this domain of the ASVAB exam.

**Found this helpful? Become a member of ASVAB Test Practice! Our self-paced online course is tailored to the needs and demands of the 2022 ASVAB exam – covering all 9 knowledge domains with thousands of practice questions, flashcards, study guides, and much more.**

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