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

[@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 50 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).

[@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 😭

[@Schoriphio]

Please 🙏🙏🙏How can I get that book

[@ofkhod3638]

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

[@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!

[@josephjeong4338]

Good luck to everyone taking the exam today!!!

[@IsraelTheChosen]

Just took mines today and I know I did poorly

[@certzs]

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

[@emmanuellaeledu]

You are extremely phenomenal, Sire!

[@adityajha1189]

Thank you sir i scored 1405 in SAT

[@Botirjon752]

😮 30th question is so tricky, I thought it is C) but then I understood it

[@cubeow1]

Thanks for compiling these questions for dude, it saved me huge amounts of time sifting through hubspot practice sats

[@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.

[@DaChelimo]

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

[@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

[@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

[@moixemi]

@@BurrritoYTi believe they are talking about the percentile that the 7th grader placed in.

[@sakchhamthapa8461]

thank u

[@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.

[@AzamatjonBurxoniddinov]

very useful thank you so much

[@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 😂

[@charlizeyliveane]

thank you! taking the SAT in August and I'm so nervous!!

[@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.

[@jay3396]

Great video, I learned some new stuff. Thank you

[@sds14825]

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.

[@barakahhh]

thank you so much! this was very helpful!

[@OrifjonNarimanov-n4v]

ohhh man, proud to be Asian😄

[@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

[@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)

[@epicplay3998]

The mod one was good. Thanks mate

[@Deraspeaks2006]

Thanks a bunch...learnt alot

[@preppros]

Glad to hear it!

[@KwameIsaac-r1b]

God bless you a lot man

[@soop2073]

16:54 why is there also the equation with -2x as well?

[@StrategicTestPrep]

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

[@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!

[@ellaillustrates9350]

Thank you so much, Sir!

[@Itsjosephowusu]

Thank you very much. This was really helpful

[@ZakTheMak]

Thanks

[@Africa-culture21]

Thank you so much

[@Pulsarminecraftt]

Simple Thank You!

[@aymanchaaban5696]

Thank you soo much

[@willieow3298]

Thank You!

[@saelgwilwileth1634]

Thank you so much!!!

[@preppros]

Glad it helped!

[@ytabdulahad3054]

Thanks

[@kevinpari9500]

thank you!

[@racquelsabesaje4562]

-b-/b2-4c=10

[@usmanahmadt599]

6:11 i didn’t knew before that percentages can be greater then 100☠️💀

[@maheenumar2940]

thanks a lot

[@sarinashrivsatava7510]

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

[@DestinyUkwuoma]

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

[@abdallahhaddad7089]

Thanks

[@karamatto4023]

thank you

[@njtgamerzone5693]

Thanks sensei😊

[@preppros]

You're welcome 😊

[@EsosaAsaolu]

thank you!

[@kebronzewdu1163]

Thanks!!

[@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.

[@Jewelia-RoseMans]

Thank you🙂

[@Ali-fi8wv]

Thank you so much for the video!

[@shravanbhat7389]

Buddy focus on memorizing ur book mathematics is har*m

[@MohamedSadiiq-hy7xu]

I am in the uk and these questions are soo easy

[@racquelsabesaje4562]

180 180 45 40.5

[@ElinaKhachatryan-r8d]

Thank youuu🤍

[@rafa_337]

Thank you a lot!

[@MathwithWaqasShah]

nice work

[@Geryboy666]

I'm a little rusty, would have made some mistakes, I wouldn't have squared the feet to meter conversion. there's some catchy things in there.

[@racquelsabesaje4562]

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

[@racquelsabesaje4562]

(100)(13)/p

[@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

[@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.

[@shreycool677]

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

[@firasosman4460]

Thank you that was really helpful 🙏🙏🙏

[@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.

[@racquelsabesaje4562]

-b+/b2-4c=18

[@evolution_time]

great 🙌🙌🙌🙌🙌🙌

[@Yosef-101]

thankyou❤

[@LatifHabib-bv4qt]

super thanks

[@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

[@PatrickWaddick]

thank you!!!!

[@abhishekk.shrestha]

Thankyou!

[@哥就是神-x8b]

13 you can just plug in MC choices, much faster

[@yousifalyaqoub4345]

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

[@preppros]

Yup!

[@racquelsabesaje4562]

cos x-sin y

[@faze-_-aland348]

Do we check for extraneous solution when there is radical and absolute value???? Cuz the book said it only when there is radical

[@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

[@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

[@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

[@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]

-2lx-5l=-4x

[@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.

[@QTpie-l8b]

Thx

[@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]

(/32)(5/64)

[@karttoffryan1157]

thank

[@GamingGod-oo3tl]

For question no.14, why didn't you just put the equation in desmos and just see where the x-intercept is. The x-intercept is (0,8) and option D has the same intercept. Kindly explain

[@majesticaaa4131]

Thx u

[@Misty0069]

These questions are really easy when compared to what they teach in India. Should I write the SAT?

[@racquelsabesaje4562]

/-4 -2x2=-4 2 18/2= 9 10/2=5

[@千果-s8u]

Meanwhile： A well-educated Asian student is confused why you need a pen to solve them.

[@playboi-karti]

As I korean student, all this problem is so easy

[@AdeptusTwo]

I thought bro was trolling when I saw the first question aint no way thats actual SAT tests

[@greengamers2578]

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

[@NatashaFernando-un2uw]

for question 14 couldnt we just pug it into desmos

[@emmanuelolowe5496]

cheers boss

[@ishadas5005]

3:40

[@TenzinKarma-f3t]

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.