August 2024 SAT Prep: The 10 Hardest SAT Math Questions of 2023

Want to get a perfect score on the SAT? Expert tutor and perfect scorer Michael Stroup will teach you some of the most important tips, tricks, and strategies to get a perfect 800 on the SAT Math section. Michael makes the 10 toughest SAT Math questions from 2023 look easy and this video will give you some great practice with the most challenging types of questions that can appear on both the paper based SAT and the Digital SAT. If you are preparing for the SAT in December of 2023, this video is a must watch. You will get practice with the hardest SAT Math questions testing your skills on quadratics, absolute value, percentages, trigonometry, exponents, percentages, geometry, and graphing. Michael will also cover some resources that you can use to further improve your SAT math score and talk about some of the strategies that he uses with his students to help them score perfectly on the SAT.
You can pick up a copy of my new Digital SAT Math book here: www.amazon.com/dp/173718382X
You can check out the free trial to my Ultimate Digital SAT Course, which has helped students improve by over 300 points here: www.preppros.io/sat-course

[@preppros]

Want To Score An 800 on SAT Math? Our new Advanced Digital SAT Math Course has 150 Expert Level Questions for students aiming for 700+ on Digital SAT Math. These questions feel just like the hardest ones on Module 2 of the Digital SAT and have already helped more than 20 of our students score a perfect 800 on the Digital SAT in 2024! Try the first 8 questions for free: preppros.teachable.com/p/150-hard-math-questions Improve your Digital SAT score by 100 points, GUARANTEED! Our brand new Ultimate Digital SAT Course has 70+ hours of videos where I teach you everything you need to know to crush the Digital SAT. It's like having me as your private tutor for only $99/month! Check out the Free Trial for my Ultimate Digital SAT Course: www.preppros.io/sat-course. Get a Copy of my NEW Digital SAT Math Book, which has 1,500 practice questions! Order you printed copy here on Amazon (www.amazon.com/dp/173718382X) or here for a PDF copy (preppros.teachable.com/p/my-downloadable-110389).

[@nicholasahn288]

Thank you so much for your wonderful SAT course Mike! I was able to achieve my dream score of 1580 on the June 2023 SAT due to your guidance 😊.

[@preppros]

Hi, Thanks for sharing the good news!! That's an amazing score! I am so glad I was able to help you get there. If you would feel comfortable doing so, I would really appreciate a brief video review of 30-40 seconds on the course and how it helped you get your score. If that works for you, you can send me an email at [e-mail] I can give a little bit of more detailed instructions. Thanks!

[@trashplayz6622]

oh my fcuking god thats high what did u do im still getting in the 1350s to 1450s in my practice

[@JxwnZ]

Bro is the next elon musk

[@rustamrasulov820]

How much is the price for the course?Are online lessons available?

[@arloreddy]

Heyy that’s amazing could you pls help me with few tips ’m not dng too well on the SAT practice tests. Maybe like how many tests you have done and any more resources thank you

[@klaeparchment2938]

For question 38, there is a separate method as well. You can solve for the Radiuses instead. For the small circle, the radius is 1/2(4x) = 2x Thus, pi(2x)^2 = 72. Solving for x gives you 2.3936. The radius for the larger circle would then be 1/2(5x) = 2.5x. Inputting the x value into the circle formula gives us the same answer of 112.5. You can then subtract the areas to find the area of the shaded region. 112.5-72 = 40.5

[@phoenixmorphix]

THANK YOU 😭

[@FevenDereje-sy5uz]

Please 🙏🙏🙏How can I get that book

[@emmanuellaeledu]

You are extremely phenomenal, Sire!

[@JEEaspirooffl]

Hello Mike, Thank you so much for your assistance. Your course was incredibly helpful, and I was able to achieve a score of 1590 on the October attempt. I've been watching your videos and diligently practicing from your book, which I consider the most important factor in my achievement. I'd like to extend all the credit to you. Thank you!

[@preppros]

Hi, I am so glad to hear that! Congratulations!! If you would feel comfortable leaving a video review, I would really appreciate it! If you do, please send me an email at [e-mail] Thanks!

[@certz5501]

notes forself: 2:36 : value of first 3 months then plugin 4:50 13:14 : After equal in brackets in squared 14:43 : Precent is X

[@ofkhod3638]

Honestly this video is much better in comparison to the other SAT math videos I've watched

[@Ali-fi8wv]

Thank you so much for the video!

[@jay3396]

Great video, I learned some new stuff. Thank you

[@PEYVANDDOLATIARJAGH]

thank you so much this was realllllyyy helpful ! waiting for more videos hopefully

[@preppros]

Glad to hear it! A new video focusing on 10 of the hardest Digital SAT questions released so far will be posted later this week.

[@shivaprasadmallikarjunaiah3751]

Those are some very good mind-twisting questions. Thanks for sharing them.

[@PythagorasFormula]

Bro I’m 15 and I got all of them right 😭 what is this exam bro, how is it so easy bruh, like I get tests on the regular that are harder than these

[@UtkarshSingh-hd5yn]

Tru its easy af Btw u need this to go onto harvard and all​@@PythagorasFormula

[@TheStoicBrowser]

​@PythagorasFormula American education system. Their SATs is like age 16 exams, if anything its easier. So basic.

[@josephjeong4338]

Good luck to everyone taking the exam today!!!

[@IzzoThaTruth]

Just took mines today and I know I did poorly

[@bigblackaf]

thanks for the tips bro

[@user-rg5ot3qf4e]

God bless you a lot man

[@sesishekoniseyon8496]

Thank you

[@rafa_337]

Thank you a lot!

[@user-fj2yr2ry2t]

ohhh man, proud to be Asian😄

[@StrategicTestPrep]

Hey congrats on this video! You got tons of views! 🎉

[@Africa-culture21]

Thank you so much

[@Itsjosephowusu]

Thank you very much. This was really helpful

[@Jewelia-RoseMans]

Thank you🙂

[@PatrickWaddick]

thank you!!!!

[@user-gs3nq6fe3o]

thank you!

[@aymanchaaban5696]

Thank you soo much

[@BeastMode-it9vq]

Thank You

[@kebronzewdu1163]

Thanks!!

[@epicplay3998]

The mod one was good. Thanks mate

[@maheenumar2940]

thanks a lot

[@abhishekshrestha5866]

Thankyou!

[@saelgwilwileth1634]

Thank you so much!!!

[@preppros]

Glad it helped!

[@DaChelimo]

The last one was a pretty good one... I hadn't seen the catch. Big up thanks from Kenya 💓

[@user-nq9lf2cu5v]

Thanks man, that went a long way Buh I still have little problems with absolute value stuff😢

[@firasosman4460]

Thank you that was really helpful 🙏🙏🙏

[@karamatto4023]

thank you

[@evolution_time]

great 🙌🙌🙌🙌🙌🙌

[@MathwithWaqasShah]

nice work

[@leirecuberes7579]

Thanks! This was really helpful. Hope to do well in the SAT lol. My last score was a 940, but I have been feeling really really good about this next one coming up....Maybe it will be the one thanks to this video.

[@thebeginning5497]

same here

[@ZakTheMak]

Thanks

[@LatifHabib-bv4qt]

super thanks

[@njtgamerzone5693]

Thanks sensei😊

[@preppros]

You're welcome 😊

[@sodacan3832]

Omg I think I’m dumb 💀

[@NagiSeishiro9]

You're not the only one bro😔😔

[@ilovehotcheesecakess]

same🥲

[@kel6714]

Start studying now bruh

[@daisysanmartin6901]

@@ilovehotcheesecakesswtf is this math I never learned this

[@SnigdhoMondal]

Bro.... These are 8th standard maths for us indians... Lol.... My young 8th standard brother solved this even before he could solve it in the video.... I just passed 12.... I solved these even before he could start writing anything..... Lol... Indians kid do these.... Try JEE Advanced maths problems.... To experience hell 😂

[@willieow3298]

Thank You!

[@adityajha1189]

Thank you sir i scored 1405 in SAT

[@elijah612]

thanks

[@sds1483]

5:32 I would like to point out that the percentage increase or decrease method shouldn’t be 1 plus or minus the percentage as a decimal, where it should be % (as a decimal) plus or minus 1, to get a failsafe method.

[@majesticaaa4131]

Thx u

[@robertc9524]

Hi Michael I am tutoring a 7th grader who scored 99.9% on the PSAT. I just watched your video and I think it will help me to meet the challenge. Thank you.

[@BurrritoYT]

99.9% implies that there are 1000 questions 💀

[@michaelman6700]

@@BurrritoYT no

[@emmanuelolowe5496]

cheers boss

[@user-ui2zm8ts6h]

Thx

[@karttoffryan1157]

thank

[@Hi-tz7nr]

for #19 in my mind if the right angle is split in half then that means its asking for the cos 45 - sin 45 with both equaling sqrt2/2 making the answer zero. I was unaware of that specific rule, but luckily that unit circle is helpful

[@osighri]

it doesn't specify in the question that it is split in half, so it could also be 60 and 30 or 50 and 40. keeping the rule of two sinx=cosy of two angles adding up to 90 is, therefore, a much better approach!

[@dupdome3131]

@@osighri yes but since G is any point on that line, that means it could be the one that makes it two 45 degree angles and if it could be, then the answer has to be 0

[@kau7920]

@@dupdome3131I just saw that angle DEF was 53 and then drew an altitude from F to G so that it was perpendicular. Then x is equal to 53 and y is equal to 37 and the questions over

[@madamada219]

I also did that. Also u can check when the dot is on the corner so that cos 90 - sin 0 =0-0=0 , or cos 0 - sin 90 =1-1=0. U dont have to know some theory of angles (Other than basic unit circle) . Just know how to do math and u can answer every one of these easy SAT questions.

[@echodr4gn870]

Currently doing algebra 1 in 8th grade and I plan to accept nothing less than 1600 on the sat's so watching these vids will be very helpfull XD

[@ceren4563]

great video, thanks!

[@preppros]

You're welcome!

[@American_2]

if these are the hardest, I think I'm gonna do fine...

[@MohamedSadiiq-hy7xu]

I am in the uk and these questions are soo easy

[@jeffciaccio2463]

Thanks! How do you get the recent tests, both digital and paper?

[@preppros]

www.preppros.io/blog/free-practice-sat-tests-how-to-get-40-official-sat-practice-tests-free-links here you can find paper based tests. Digital tests will no longer be released so they are only available on the collegeboard website or on the bluebook app

[@supercube5504]

Hey Mike! Thanks for making these videos, they're such a great resource and I've greatly increased my score just from watching your videos.(I think I watched just about all of them ;) I wanted to ask if you could maybe make a video going over all the grammar rules and things for the reading/writing section. My math is 700+, and I'm planning on taking the SAT in August. Thanks for the great videos! -Vincent

[@preppros]

Hey Vincent! I am really glad to hear that the videos have really helped you out. I will not be able to make that. It would turn into a multi hour video to be able to get close to actually explaining the topics well enough that they can be understood. Summer is my crazy busy tutoring season and I am updating materials for the Digital SAT so I won't have time. I would at the least recommend checking out the free trial to my Ultimate SAT Course as I go over the sentence structure rules and a decent number of the comma rules and you don't need a credit card to sign up. I would also recommend to check out the part of the advanced math course in the free trial as you're at the spot where it can help fine tune those skills even further. If you are really looking to cover everything before August, I would recommend to sign up as you'll get super in depth lessons and hundreds of practice questions for both sections and you should be able to increase your math further! Let me know if you have any other questions. Thanks!

[@supercube5504]

@@preppros Hey Mike, Thanks for the response! I understand completely and no worries. I have almost completed your free trial and I have to say it was the best SAT prep I could find. Unfortunately, I can't subscribe right now. Thanks anyway for the great videos and resources. -Vincent

[@preppros]

Hey Vincent, Glad it's been so helpful! If price is an issue for you, shoot me an email at [e-mail] with what you can afford and I'll set up a special discount for you. You're clearly putting in a lot of effort so I'd love to help out.

[@Mrmightymight]

​@@prepproshey man. I have my digital sat in october. Could you hook me up? It would be great. I won't disappoint.

[@anayjoglekar5920]

I gave the DSAT once before and I could solve all these question with ease I am certain there are much harder questions on the DSAT especially the last few questions in module 2

[@preppros]

Hi, 100% these are the hardest problems from the paper based test, which now are far easier than the Digital Test. This Video here is the updated version for the digital SAT: kzbin.info/www/bejne/e3bJaGOKfspgfKM

[@abigailtrachtenberg9662]

Quick q- why is the a value 1? I understand the rest of the math but i would have never assumed to do that in the first place. Thanks for all the vids!

[@preppros]

Hi, are you referring to question 1? The a value there is one because there is no coefficient before the x^2 term. Hope this makes sense!

[@abigailtrachtenberg9662]

@@preppros ah yes totally makes sense haha thank you so much!

[@emmanuellaeledu]

Thank you so very much, Sir!

[@preppros]

You are very welcome

[@aimlessexplorer6430]

For question 30 on the gym membership, don't you pay before you can actually use the membership? This would mean that before any months of membership or t=0 that you pay the $25 for the first month which would result in answer choice B.

[@preppros]

No, if the question stated that you have to pay an initial fee of $25 and then $45 each month B would be correct, but the question makes it clear you will pay $25 the first month. If you plugged in 1 for t in B, it would make it seem as if the first month cost $70. This is the trick to this question and why it is #30 as one of the most challenging questions.

[@hariprasath5583]

I find these questions much easier (can be solved in a minute or less) these were comparatively of much lower standard compared to competitive exams in india (im just a school student)

[@racquelsabesaje4562]

(/32)(5/64)

[@racquelsabesaje4562]

180 180 45 40.5

[@sarinashrivsatava7510]

i dont understand why you subtracted in the first problem instead of adding the 1+0.26. could you explain? thanks!

[@tikka5872]

Hello! Thanks for the informative video. For number 27, I am still confused how when you plug it back in, X is supposed to equal 26 but when you plug P you get 2.6.

[@preppros]

So hopefully it made sense that I chose p=50 and therefore x=26. For answer D, ((100)(13))/50 does equal 26. I think you may have made a calculation mistake to get 2.6.

[@shivaprasadmallikarjunaiah3751]

Well, he was just giving that example as additional info, though for the purpose of answering the given question that can entirely be ignored since they only asked for the expression not any particular value. But, yes you will get x = 26 if there is no calculation mistake.

[@racquelsabesaje4562]

40.5

[@noobynoob6856]

Sheesh man I’m a seventh grader and I never imagined the sat would be so easy

[@preppros]

The new digital format unfortunately has upped the math difficulty quite a bit. Here's an updated video featuring some of the new hardest questions kzbin.info/www/bejne/e3bJaGOKfspgfKM

[@rukhsanaarif2600]

In question 38 where you were required to find area of the shaded region, you only calculated the area of the bigger circle. Will you please explain as I am really confused.

[@preppros]

Hi, I’d recommend rewatching that question explanation. I did not calculate the smaller circle’s area as it was given but I did subtract it from the larger circle to find the shaded region.

[@greengamers2578]

Im from iran and this math question are really easy for me (i can solve most them them in like 5 or 10s)

[@shreycool677]

I have a question, for number 13 isn't it asking for possible answers? So it would still be 5/3 and -5

[@STAR_BOY_OP]

Hello guys who are out there to me these questions are like dust ( i am in high school to be 16 exactly) to what I faced challenges with. I was able to get it by just solving super super hard Indian or Asian books of math, physics and chem(all three) I hope you would work on my advice and get a perfect SAT score. HOPE THIS HELPS

[@pbthroggy]

How would any level of Chemistry help you with this?

[@racquelsabesaje4562]

-b-/b2-4c=10

[@racquelsabesaje4562]

y=-4x+16/x+2

[@Antonio-mt2bo]

I eyeballed the first problem you performed (20) and figured b = -14 therefore c would equal 45 then using factoring I could determine the x values very quickly, is this efficient?

[@preppros]

You can definitely plug in values like that! However, it's not the most efficient and consistent way to solve the problem as you have to make sure that the values you plug in work based off the constraints in the question.

[@racquelsabesaje4562]

-2lx-5l=-4x

[@aiilaaa]

Hello, for the circle question, if they had given us the circumference instead of the area, then we would not square the 4/5 right?

[@preppros]

No, you still would. The ratio of the radius, diameter and circumference are all directly proportional since c=2(pie)(r). Whereas, the areas you need to square the proportions of the radius, diameter, or circumference since A=(pie)r^2 so the ratio of the radius, diameter or circumference needs to be squared. Hope this makes sense! A bit tricky to explain in a KZbin comment but if you plug in some values and work through the scenario it should make sense.

[@aiilaaa]

sorry for the late reply but thank u so much, I'll just remember this fact@@preppros

[@racquelsabesaje4562]

c(t)=25+45(t-1)

[@tuttutt772]

Hello, is there any way to just get the Advanced SAT Math course without paying for the other parts? The link below does not work anymore

[@preppros]

Yes, here is the link to the advanced math course preppros.teachable.com/p/150-hard-math-questions

[@racquelsabesaje4562]

1.6

[@racquelsabesaje4562]

cos x-sin y

[@racquelsabesaje4562]

(100)(13)/p

[@racquelsabesaje4562]

160%

[@gbolahandawodu8137]

Please does sat usually change unit in questions that the main focus is not about unit change or rate or scale model .If they do does it means I will have to be confirming that unit is not changing in all the maths questions.

[@preppros]

No, the SAT usually makes it incredibly obvious that you will be changing units by including a conversion in the question.

[@gbolahandawodu8137]

@@prepprosThank you sir when you meant conversion do you mean like the way they usually somethig like ,12inches=1 feet ,behind the question

[@toxicdubz3841]

yes that's what he means@@gbolahandawodu8137

[@racquelsabesaje4562]

4 1 72

[@racquelsabesaje4562]

13

[@dray839]

Hey could you give me any tips on how i can raise my score to 750+ if I'm currently in the 650 range any help would be much appreciated

[@preppros]

My Advanced math course is what I use with all of my private tutoring students to help them improve from where you are at to the low to mid 700s but is also what I use with really advanced students starting around 730 to help them improve as close to perfectly as possible. You most likely have a really good grasp on many of the fundamentals and the concepts tested but are getting stuck for how to start the more difficult questions and have a handful of concepts that you don't know quite as well. It will help you learn how to start all of those exceptionally difficult questions, get used to the strategies you should apply for the most difficult questions, and also will give you a really comprehensive review of all of the concepts tested on the SAT, which will let you know if there's certain concepts that you should focus more on outside of the problem set in the Advanced course. The advanced course can be found here: preppros.teachable.com/p/150-hard-math-questions

[@racquelsabesaje4562]

-b+/b2-4c=18

[@racquelsabesaje4562]

5/3

[@ishadas5005]

3:40

[@racquelsabesaje4562]

5 9

[@ed_2639]

Can you provide the course file provider al the rules of math 😢

[@savidhba9167]

Can someone explain why at 1:42 the a value is equal to one?

[@preppros]

The a value is the coefficient of the x^2 term. Since it's just x^2, the a value is 1

[@yousifalyaqoub4345]

so for the first question we could put the answer as either 5 or 9

[@preppros]

Yup!

[@Tarun1540]

Hello. Where can I get the papers of March , May , June and August Sat attempts?

[@preppros]

Hi, you cam find links to march and may here www.preppros.io/blog/free-practice-sat-tests-how-to-get-40-official-sat-practice-tests-free-links June and August are not released tests

[@Dawodu_Gbolahan_David]

Please I want to ask one question, in the Khan academy lesson they said to determine the type of punctuation to use I need to to know if the sentence after the blank and the sentence before the blank is independent or dependent. Now my question is if I want to read the sentence after the blank to determine if it's is dependent or independent will I start from Geological or I will start from Structures anytime i see answer choices such as the period that have a word after it Like geological because sometimes they don't put any word after the punctuation and the continents is it joined with the sentence before the blank A study published by university of rice university offers new explanation for origin of earth __________structures called arcs,towering ridges that form when a dense oceanic plate subduct under a Les dense continental plate,melts in the mantle below ,and then rises and burst through the continental crust above . 1 continent geological 2continents:geological 3continets; geological 4continents.geological

[@preppros]

That's not the greatest advice there. Instead you need to identify what is coming before and after the punctuation itself. In the case you posted, that means you need to be paying attention to the structure of that goes from the beginning of the passage all the way up to continents and from geological through the end

[@Dawodu_Gbolahan_David]

Thank you

[@Byuvugug]

🙏🏻🙏🏻🙏🏻🙏🏻

[@fungyinandjoseph]

For April 2023 Q.38. Why did you do 2.6 minus 1? Thanks.

[@preppros]

Percentage increases are always expressed as 1+ %. So a 70% increase is expressed as 1+0.7=1.7 so if you want to figure out the amount of increase you need to subtract 1. Hope this clears it up!

[@webworldtube]

11:11 if we let one angle be x and other 90-x then it will be cos x- sin(90-x) = cos x - cos y and u said they are equal (x and y) so cos x=cos y and then our equation will be cos x- cos x = 0.

[@user-xp8qc8pv1i]

For the last question, how does -5 suddenly not be the answer as we got this by solving the equation. I know that substituting -5 in the value contradicts the equation but why since we got this by solving it

[@preppros]

It's an extraneous solution. We have to check for these that's why we plugged it back in.