Grammar Hero's ASVAB & AFOQT Practice Test: The Mathematics Knowledge Subtest (Free ASVAB Tutoring)

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In this video, I work out some challenging problems from an ASVAB/AFOQT mathematics knowledge practice test. In order to do well on the Armed Services Vocational Aptitude Battery (ASVAB) as well as the Air Force Officer Qualifying Test (AFOQT), you must be comfortable solving problems that are similar to the ones in this video.
0:00 Intro: No Calculator or Reference Sheet!
1:37 Q1: Exponents
4:05 Q2: Circumference ( • Finding the Area and C... )
7:48 Q3: Fractions ( • Learn Almost Everythin... )
10:00 Q4: Algebraic Fractions ( • Operations with Algebr... )
12:29 Q5: System of Equations ( • Solving Systems of Equ... )
16:53 Q6: Distance Formula ( • A Formula You Must Kno... )
19:06 Q7: Factorials
23:58 Q8: Volume ( • Finding Surface Area a... )
28:14 Q9: Sequences ( • Grammar Hero's ASVAB A... )
30:04 Q10: Laws of Exponents ( • The Laws of Exponents:... )
33:41 Q11: Equation of a Line ( • Writing Equations of L... )
36:56 Q12: Sum of Interior Angles of a Polygon (i.e., S = 180(n - 2) )
38:26 Q13: Pythagorean Theorem ( • The Pythagorean Theore... )
41:13 Q14: Scientific Notation ( • Writing Numbers in Sci... )
42:52 Q15: Radicals ( • Simplifying Radicals a... )
45:09 Q16: Cube Root of a Number
46:37 Q17: Order of Operations ( • Order of Operations (P... )
49:40 Q18: Factoring ( • Factoring Quadratic Tr... )
53:30 Q19: Perimeter ( • Finding the Perimeter ... )
56:37 Q20: Triangle Sum Theorem ( • The Triangle Sum Theor... )
59:57 Q21: Odd and Even Numbers
1:02:02 Q22: Prime Numbers
1:05:14 Q23: Long Division & Decimals ( • Learn Almost Everythin... )
1:08:17 Q24: Algebraic Fractions ( • Operations with Algebr... )
1:09:55 Q25: Sum of an Arithmetic Sequence
1:14:25 Outro
Test Prep Resources
ASVAB AFQT For Dummies: amzn.to/2W0hFsr
2018 / 2019 ASVAB For Dummies: amzn.to/2WBK9Nk
ASVAB Prep Plus 2018-2019: amzn.to/2Ww48gE
ASVAB Study Guide 2019-2020 Secrets: ASVAB Test Prep: amzn.to/2wuruV4
Barron's ASVAB Flash Cards, 2nd Edition: amzn.to/2Wv4Quj
1,001 ASVAB Practice Questions For Dummies (+ Free Online Practice): amzn.to/2Qx2bLm
ASVAB Bilingual, 1E amzn.to/2KiO0Zr
#GrammarHero #ASVAB #PiCAT #AFQT #ASVABTutoring #MathKnowledge #ASVAB2020 #ASVAB2021 #AceTheASVAB #asvabversion #ASVABmath #ASVABpractice #ASVABHowTo

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1 авг 2024

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Комментарии : 154

@beckerjohn33 3 года назад

Went from a 36 to a 63. My score went up so much I had to take a confirmation test after. Thanks for making these videos.

@GrammarHero 3 года назад

Congrats on the improvement, you're welcome, and I wish you the best if you join the military!

@jaquaveonandress649 3 года назад

When you ship?

@diarymendes5502 3 года назад

That happened to me too Make sure you keep practicing because they will gave you a different test

@KreyolGaming 3 года назад

That’s what I don’t like at the MEPS for every studies and hard working then we have to tale a confirmation test just to see if we studied or cheat why all this if we passed our test

@jaquaveonandress649 3 года назад

@@KreyolGaming Exactly lol

@christiansmith6342 3 года назад

Thank you, Grammar hero! Went from 52 to 85 and got 150 jobs on my list for the air force!

@GrammarHero 3 года назад

Congrats on the improvement, you're welcome, and I wish you the best if you the AF!

@tylerjones7536 3 года назад

hey grammar hero I just wanted to say thank you for the videos you post and the time you spend making content, I just finished taking my asvab for the second time and scored a 68. I went from a 19 (not studying the right content) to 68 in 3 months of studying your content and taking the practice tests. I showed my recruiter your page and they will be sending a lot more people your way. My advice for people having a hard time like I did at first is to watch every video and to study in sessions and do active recall until it becomes installed into you before you take the asvab. Thank you again!

@GrammarHero 3 года назад

Congrats on the significant improvement in your score, you're welcome, and I wish you the best if you join the military!

@Rustyshampoo 3 года назад

Same bro

@GrammarHero 3 года назад

@@laptopuse1599 ru-vid.com/group/PLhlU-GzAQeG1G47T95OqJkcjazmgLE6Tg

@jamelmcintosh9959 3 года назад

Keeping updated and Studying for my test in February I’m gonna pass loving how you make math look so easy.

@christianarboleda7872 3 года назад

I just wanted to say thank you for making the AFOQT math knowledge videos. It's been a great help!!

@GrammarHero 3 года назад

The math sections of the AFOQT are similar to the math sections on the ASVAB. If you take practice tests 6 to 11 on my website ( asvabapp.com ), you can get some more practice. The full-length practice tests on my website were designed to be taken on desktops/laptops, not small mobile devices. Good luck!

@zicotanet9688 Год назад

I went from 12 to 20 to 34, just wanna say thank you for helping everyone and I hope the donation help a bit

@GrammarHero Год назад

Congrats on the improvement, and thank you very, very much for the donation! It was way too much! I wish you the best if you join the military!

@KANESAMP 3 года назад

My AFQT Predictor score doubled from 28 after I spent a week watching your videos. Taking the ASVAB now! Thank you for the help!

@RajeshKumar-vm1ds Год назад

Grammer hero , you have done a fab job helping us yesterday i gave my exam i passed and now i m on my way to become a sailor thank from my bottom of my heart ❤

@igormilos3074 3 года назад

Your videos helped me. I went second time on Asvab, i had 55 AR and 50 MK, but WK and PC was below 40. I need study more

@Rc28 2 года назад

This video was extremely helpful! I plan on going over the other ones you've posted as well! Didn't do so well on the quantitative portion of the AFOQT since I've been out of school for 15 years but this was outstanding! Thank you for all your hard work!

@GrammarHero 2 года назад

In that case, you may want to work through my math boot camp playlist: ru-vid.com/group/PLhlU-GzAQeG2ete7N8QjR2dDN_CaIH67z That playlist goes through everything you need to know to do well on the math subtests of the AFOQT. Good luck!

@Rc28 2 года назад

@@GrammarHero Thanks I will!!!

@davidornelas3326 3 года назад

literally just took the practice test and got a 34 smh. Glad i found these vids, now i can study, relearn things from high school and hopefully get a much higher score in the actual test

@GrammarHero 3 года назад

Good luck!

@magman16 Год назад

I just took my ASVAB for the first time today. I scheduled it last week and I've just been watching your videos. I got a 93 today.

@GrammarHero Год назад

Congrats, you're welcome, and I wish you the best if you join the military!

@magman16 Год назад

@@GrammarHero Thank you! I’m trying to decide which branch would be best for Cyber.

@GrammarHero Год назад

@@magman16 I'm pretty sure most branches have a MOS for cyber security, but the AF or Navy probably have the most established programs. Good luck!

@Scioccoun- 2 года назад

People might think these comments are fake but I just passed my asvab 2 days ago thanks to you. Thank you so so much cav scout here I come

@GrammarHero 2 года назад

Congrats, you're welcome, and I wish you the best in the Army! RU-vid does a good job of removing fake comments and views, so most people know that these are the real deal.

@shanikabradley202 3 года назад

Wtf? I seen this on the asvab I just took and I hope I got this right but I failed the asvab that shit was hard asf each time I take the test it gets harder

@nosdefus 2 года назад

for number 11...I got the same answer using the slope formula ..y=mx+b. Although the answer is the same, could i ALWAYS use the slope formula?

@ajhayden7636 2 года назад

Nicely done! This'll really help me out on my asvab test I will be taking next week.

@GrammarHero 2 года назад

Good luck next week!

@ajhayden7636 2 года назад

@@GrammarHero Thank you!

@bradleymejia6665 3 года назад

Thank you, from 56 to 78!

@GrammarHero 3 года назад

Congrats on the improvement, you're welcome, and I wish you the best if you join the military!

@AfricanFolkTalesRevival 3 года назад

Thank you so much 😊

@AprilFaith 11 месяцев назад

thank you as always!

@GrammarHero 11 месяцев назад

You're welcome, and good luck!

@unruly_stud4160 3 года назад

Asvab tomorrow you’re videos helped a lot hope I can apply everything I learned

@GrammarHero 3 года назад

Good luck!

@martinebejarano6975 3 года назад

did you pass ?

@unruly_stud4160 3 года назад

@@martinebejarano6975 yep passed

@martinebejarano6975 3 года назад

@@unruly_stud4160 congratulations! Did you just study off grammar hero ?

@unruly_stud4160 3 года назад

@@martinebejarano6975 yes and no I did a majority of my study on grammar hero and little on my asvab book.

@radijalima9678 3 года назад

Thank you, so helpful 😌

@GrammarHero 3 года назад

You're welcome!

@nataliagalvan3669 3 года назад

hello Grammar Hero, just wondering if the method i used for #2 would work on other problems like this: Since we were given the radius of 35km, i added 35+35 to get the diameter and got 70 for the diameter. I then multiplied 22/7x70/1 to get the circumference and = 1540/7 and divided and got 220.

@GrammarHero 3 года назад

Yes. As I mentioned, there are two formulas to find circumference: pi*d or 2*pi*r. No matter which one you use, you'll get the same answer. If you watch enough of my videos, you'll notice that I sometimes use the first equation, and I sometimes use the second equation. It's also worth noting that although there are two formulas to find circumference, there is only one formula to find the area of a circle: i.e., pi*r^2.

@nataliagalvan3669 3 года назад

@@GrammarHero copy that, thank you so much !!!!

@jmanayam 2 года назад

Thanks for this video helping me out alot

@GrammarHero 2 года назад

You're welcome!

@MegaReaper456 3 года назад

can you make more of those asvab practice tests? i remember you made one and i scored a 70 on and it and my testing is next month and was wondering if you can make another one of those.

@GrammarHero 3 года назад

I'm in the process of making another one. Hopefully, I can release it soon.

@MegaReaper456 3 года назад

@@GrammarHero thank you so much!

@kipsalm Год назад

Hey Grammar Hero, should i be worried about any measurements/conversions on the ASVAB or stick to the study guide that’s on your website ?

@GrammarHero Год назад

Here is my video, where I discuss everything you need to know about conversions: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-QUbEsYMhDn4.html Good luck!

@tylerjones7536 3 года назад

Is the officer afoqt more challenging then the asvab besides the time frame?

@GrammarHero 3 года назад

Arithmetic reasoning is, but Math Knowledge is about the same. Either way, the AFOQT is good practice for the ASVAB, since both sections of the test are so similar.

@Minneybugg04 3 года назад

Hey, first I would like to thank you so much for all these videos!!! You've helped me tremendously when it comes to math and the arithmetic portion. Although, I do have a question. For number 4 can you explain how 6a dividing by 3a equals 2 and not 2a. I didn't understand the explanation.

@bienvenidos9360 Год назад

any # divided by itself = 1 (except 0) 5/5 =1 21/21 = 1 So a/a = 1 as well. 1 = 1/1 , so the number 1 gets distributed to both the numerator and the denominator

@nosdefus 2 года назад

in the sum of interor angles...what does the 2 represent? Sum = 180 (n-2)

@GrammarHero 2 года назад

I would have to make an entire video to show you how the formula is derived. That's beyond the scope of my videos!

@user-sp2we1hc1m 11 месяцев назад

Hi.. on question #7 why did you not cross out any of the duplicate numbers from number "4!"?

@GrammarHero 11 месяцев назад

How? The way I solved it in the video is the correct way.

@Dc-hr4se 3 года назад

can you do a video on The Nth Term of Quadratic Sequences ?

@GrammarHero 3 года назад

Honestly, I wouldn't devote too much time to learning sequences, since there may only be one question about them on the test. Generally, you'll only be asked to find the next term in the sequence, and you don't really need to know much about sequences to do that. That said, I do have two videos on arithmetic and geometric sequences, including how to find the nth term in them: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-gaTwxiC6B3A.html ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-mDYwr1xVGhc.html

@ezekielgalang6791 3 года назад

I Already passed the asvab test and got 35 but my US army recruiter wants me to retake the asvab and get a higher score. Should i retake the test and go to US airforce instead?

@revan2837 3 года назад

yes!

@XceliumYT 2 года назад

52:26 - Where did you get 2x - 1 from ???

@XceliumYT 2 года назад

-3x + 4 is 1 did you just take the 2 from 4x - 2 and make it -2x - 1?

@justinbranden5275 2 года назад

I'm going to need a little more direction on the elimination method. You pulled out a -3 and +2 from where?

@GrammarHero 2 года назад

In the description, you'll find this for #5. 12:29 Q5: System of Equations ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-SWuG75e1WwY.html That link takes you to my video, where I discuss the topic in more detail!

@justinbranden5275 2 года назад

@@GrammarHero right when I asked it rang a bell and I remembered how to do it. Didn't think you'd actually see my question. Thank you.

@GrammarHero 2 года назад

@@justinbranden5275 Good luck whenever you take your test! Happy holidays!

@rachelm4203 Год назад

Excellent Video’s thank you verryyyyy much for your time!!! I recommended them to a few of my co workers wanting to take the AFOQT. Anything specific I need to focus on for the AFOQT? Been out of High School for 15-20 plus years.

@GrammarHero Год назад

If you work through my Math Boot Camp playlist, you should be fine on the test. Good luck, and here it is: ru-vid.com/group/PLhlU-GzAQeG2ete7N8QjR2dDN_CaIH67z

@rachelm4203 Год назад

@@GrammarHero you are a blessing, thank you! I’ll defiantly pass this on to my multiple co-workers! I’ll keep you posted! Thanks for responding!

@GrammarHero Год назад

@@rachelm4203 You're welcome, and good luck!

@rachelm4203 Год назад

@@GrammarHero thanks again! One last question please, do you recommend I use all the videos in the boot camp link or only the AFOQT specific videos only?

@GrammarHero Год назад

@@rachelm4203 All of them would be beneficial, since the math sections on the AFOQT and ASVAB are very similar. I would also order a cheap study guide from Amazon, too!

@maharijohnson5880 3 года назад

I need to put more hours into these I'm still at 18. Any tips would be very helpful. Every time I take the practice asvab it keeps throwing me for a loop hole keep showing me things I haven't seen before I need help

@maharijohnson5880 3 года назад

I have but send me links anyway

@GrammarHero 3 года назад

If you watch enough of them, you'll see a lot of questions are repeated!

@KreyolGaming 3 года назад

Need more help with this #1:01:46

@bright8000 2 года назад

I need help on this math question please...... The price of gasoline is $2.27 per gallon and decreases at the rate of $0.03 every two months. oil costs $0.45 per gallon and increases at a rate of $0.05 every six months. how many years will it take for them to be equal in price? a) 6.5 b)6 c)7 d)5.5

@GrammarHero 2 года назад

x = number of years Let's convert these to be in terms of years. .03 every two months is .18 a year .05 every six months is .10 a year 2.27 - .18x = .45 + .10x

@bright8000 2 года назад

@@GrammarHero Thanks a lot, sir. You are the best 👍ever.

@kedroncampbell3470 3 года назад

Thanks grammar hero gonna work on this at 5:00 am

@jaquaveonandress649 3 года назад

Damn you dedicated lol

@kedroncampbell3470 3 года назад

@@jaquaveonandress649 it’s nth when u have a goal set 🤞🏾💯

@jaquaveonandress649 3 года назад

@@kedroncampbell3470 True, i take my test Friday but i aint feeling so good about it

@kedroncampbell3470 3 года назад

@@jaquaveonandress649 that’s the wrong approach, be optimistic, tell yourself u can do it , if u fail it’s okay to try again ... I’ve been dedicated for more than two months completed all of grammar hero videos regarding the ASVAB , my weakness is Arithmetic n I practice it everyday, likewise identify ur weakness n work on it , u can do a quick recap on Thursday bt focus more on relaxing, u can do it , all the best 🙏🏾

@jaquaveonandress649 3 года назад

@@kedroncampbell3470 Thanks, i really needed that 💯🙏🏾😫

@giovannycolon4539 2 года назад

For Q5. How did you get the constants of -3 and 2 to multiple and eliminate the X?

@GrammarHero 2 года назад

I came up with them on my own?

@giovannycolon4539 2 года назад

@@GrammarHero so any numbers would work as constants? Sorry I haven't done math for 10 years and trying to brushes up on it

@GrammarHero 2 года назад

@@giovannycolon4539 Any numbers that eliminate either the x or y variable will work. The hard part about systems of equations is that you have to pick those numbers yourself ; they are not given to you. I have videos on solving systems of equations on my channel.

@GrammarHero 2 года назад

@@giovannycolon4539 In the description, you'll find this for #5. 12:29 Q5: System of Equations ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-SWuG75e1WwY.html That link takes you to my video, where I discuss the topic in more detail!

@giovannycolon4539 2 года назад

@@GrammarHero thank you very much!

@giovannycolon4539 2 года назад

Do you have a video covering the following: If 2x-y=18, what is the value of 4x/2y?

@GrammarHero 2 года назад

Where is this question from, if you don't mind me asking?

@giovannycolon4539 2 года назад

@@GrammarHero I'm studying for the AFOQT and it came from the arithmetic reasoning portion of a practice test I got from my office. I used to be a recruiter for officers and decided to try and take the test to see how well I do.

@GrammarHero 2 года назад

@@giovannycolon4539 I'll post the solution for you soon. Is that 4^x / 2^y? (4 raised to the x power?)

@GrammarHero 2 года назад

@@giovannycolon4539 Post the answer choices, too.

@giovannycolon4539 2 года назад

@@GrammarHero correct that is 4 raised to the X over 2 raised to the Y. Answer choices are as follows: A. 2^2 B. 2^18 C. 4^2 D. 5^2 E. 18^2 Thanks for all of your help. I've watched your videos almost everyday to prep for the exam this Thursday!

@pradaau2 3 года назад

i feel like i got all the stuff down .. but it’s the being timed part for me 😩

@GrammarHero 3 года назад

For the ASVAB, you get more time than the AFOQT. If you're taking the ASVAB, I wouldn't too much about time as work on these practice questions.

@pradaau2 3 года назад

@@GrammarHero okay tyy bc when i took the asvab the first time it felt like we had 8-10 mins for 50 questions && i was panicking & i didn’t get to finish half the test

@FearmatiicsFEAR 3 года назад

From the looks of 14:40 it seems i have to go back and study System of Equation. Wasn't sure how you got the -3 on the top number.

@GrammarHero 3 года назад

I just picked it because I wanted to get rid of the x variable, which would just leave me with the y variable. How could you eliminate the x variable in the following system? 2x + 3y = 1 4x + 2y = 3 Multiply the top equation by -2 and add it to the second equation. -2(2x + 3y = 1) = -4x -6y = -2 -4x - 6y = -2 + 4x + 2y = 3 ____________________ -4y = 1

@FearmatiicsFEAR 3 года назад

@@GrammarHero gotcha

@JesusRPerez 3 года назад

Do you charge for personal tutoring??

@GrammarHero 3 года назад

Unfortunately, I do not offer any tutoring services.

@user-fn2iy7hv6d 2 года назад

Will I be fine if I skipped 2 days to not to study?

@GrammarHero 2 года назад

Honestly, I cannot answer that. Generally speaking, the test isn't too hard.

@Madisonmarsi Год назад

I’m confused on number 5 where you multiplied the constants of -3 and 2. Where did those come from? How did you know to choose those and also make 3 negative?

@GrammarHero Год назад

I used the elimination method to solve the system of equations. When you solve a system of equations using the elimination method, you have to multiply one or both equations by a constant to eliminate either the x or y variable. In this case, I chose -3 and 2, so I could eliminate the x variable when I added the two equations together. Watch this video for more examples: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-HL2fDIOMLJ0.html