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

[@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 80+ 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! Plus, we have our own extra Digital SATs for that critical extra practice. Check out the Free Trial for my Ultimate Digital SAT Course: www.preppros.io/sat-course. Our new Digital SAT Math Book is available now! Get your printed copy on Amazon (www.amazon.com/dp/173718382X) or a PDF copy on our website (preppros.teachable.com/p/my-downloadable-110389)

[@khadeejahali9105]

Thank you very much, sir!

[@Aman-o8s5o]

I thought I was ready for maths until I watched this video

[@haiyen-laura365]

are you readddy??

[@alian1250]

@@haiyen-laura365Korn

[@rotimifr]

9:20 in desmos, you could also put the table values into a table in desmos. Then on another line type in y_1~(ax_1)^2+bx_1+c. It should give you the constants of those letters. Then bring your equation out ((-4x)^2+184x-2108). Put it in a g(x), but also add the -4 to it so it should look like this g(x)= ((-4x)^2+184x-2108)-4. Then type g(0)=-2112. It saves time if you learn how to use desmos correctly and precisely.

[@nourrahhal3408]

using the constants desmos gave you, u can just plug those into the same vertex form equation, plug 0 into x for the y intercept and they'll give you your y value (-2108), then mentally subtract 4

[@cubeow1]

yeah yeah yeah brother, that's exactly what I did. Best strat tbh

[@TatyanaBychkova-oh9cr]

I rarely write any comments, but this video and the author is so incredible. No where I have seen such a useful way to use desmos. It opened my eyes! Thank you so much! you're the best!

[@LexiFonseca]

Taking my first SAT Tmr morning!!! Claiming allll the good vibes

[@ProjectHaven]

how did it go?

[@adnansrour8790]

How much did you get

[@oogie493]

score?

[@veerchaudhary9655]

after taking the october adminstration and watching this video, my mind was blown. thank u. bless u

[@LenaLoli-t5g]

Did these questions come ?

[@azasediek8576]

yeah did any of these comes

[@mika6575]

i literally never leave comments on videos but i just wanna say this was sooo helpful thank you so much 😭😭 i'll be taking the dsat in may (my first time ever taking the sat) and i'm very nervous.... but this helped a lot!!! thank u again :)

[@zerintasnim115]

how was your xm ?

[@brreezee3]

Thank you so much for this, I have my SAT this march! I also appreciate how you would go over things in case you lost anybody (because I was one of those ppl who got lost 😅)

[@preppros]

Glad it was helpful!

[@holycow6482]

what happened what was your score

[@notmarcus17]

I'm taking my test on Saturday, 1540 is my highest score on practice, I'm crossing my fingers that I can get at least a 1520

[@hi-mv7eg]

same

[@ashwakkalil3931]

same but im taking my test on Wednesday. my highest was a 1550... hopefully I get that score on test day! good luck to u

[@averagejoe357]

@@ashwakkalil3931You’ve got this!

[@hi-mv7eg]

@@ashwakkalil3931 i thought the dates are standard? March 9 for everyone

[@ashwakkalil3931]

@@hi-mv7eg I wish but in my state, every junior is required to take the SAT and so they gave us dates to take it in school from March 2nd to March 9th and my school chose March 6th

[@Toptier-qn5yk]

hello... i am here after taking the digital sat today, and I would like to say that the math test is very difficult especially in the second module as compared to princeton or bluebook

[@skerete7968]

Can you be more specific please?😅

[@dhanger3450]

It took me the next day to understand the concept of the last question, but my jaw actually dropped once I understood the relationship between the leading coefficient (a), the vertex, the parabola's shape, and the correlation with the x-axis, as you said; thus, why -12 was the potential answer for a + b + c.

[@hajimeville]

Your contents (on KZbin & Teachable site) must be saving a great number of students. Keep us going through. Thanks for your effort.

[@preppros]

I'm glad you find our channel and our Ultimate SAT Course so helpful!

[@zipin-yt]

taking the sat in 7 hours. tysm, this is one of the best videos for the math sat

[@arila2234]

Bro me too 😭

[@ibkfn9442]

broooooo, we're in the same boat

[@Abdul-AzizEsenkanov]

I have never seen so much intelligence and knowledge in one video, and even with a lucid explanation. I appreciate your work, I got so many new tips just by watching this video.

[@sdgsat182]

Yeah he knows his stuff. I'm a 6-year SAT tutor, and I learned a few things here on how to use some of the more arcane desmos features. -Mr. Andrew, SDGSAT tutor

[@IveyDawan]

Thank you so much, you're genuinely one of the best teachers and you explained everything so well!

[@Anish_B]

Using this for my August Prep. Will update when I get my score!!!

[@nandinchimeg9a691]

good luck

[@Dkqnekqltksmsgksrnrdls]

good luck bro

[@Didi_uuu]

Me tooo, good luck

[@yeabbiruk2454]

what did you get?

[@Didi_uuu]

@@yeabbiruk2454 scores are coming out on Saturday

[@YoussefMohammed4711E]

9:22 you can write the table in desmos and write either y1~ax1^2+bx1+c or y1~a(x1-h)^2+k and it will show you the valuse for all the variables

[@wistfulgraph]

yes

[@muhabali-i1t]

there is another way to solve the quadratic function on desmos . press insert table and write everything there, then write y1~ax1^2+bx1+c. easier and better

[@preppros]

That's a great desmos hack!

[@queenswand]

Wait why the '~' sign not the =? Also with = no graph is made.. what's the reason?

[@VishByte]

@@queenswand the ~ sign means estimate. It tells desmos to estimate for the letters

[@Kawaii-27]

you tube plz recommend me this channel more

[@hey...4702]

You can actually do the third question way easier in desmos than what you showed. Make a table and plug in all the values for the given points. In a seperate line, write the vertex form y1~a(x1-h)²+k and it'll give you the values of a, h and k so if the question was about one of those that'll work too. But since the question asks about the y intercept, you have to scroll all the way down to find it, and then (as you said) subtract 4.

[@sdgsat182]

Good for you if you can do it faster in desmos, but you're clearly a "master desmos user." Most students are nowhere nearly that desmos-fluent. Honestly, this question is best done directly without desmos, IMO- the key is that you recognize and use vertex form for a quadratic. For a less-than-700 scoring Math student, I endorse his demonstrated method as a good "fallback option." -Mr. Andrew , SDGSAT tutor

[@hey...4702]

@sdgsat182 True, I guess. I haven't taken the SAT yet (taking this August), but my last math practice test score was 780. Got 3 questions wrong.

[@mariamel5401]

i also got 3 wrong but i got 760 instead. ig thats what we get for the test being adaptive

[@fazebugatti988]

@@sdgsat182 it saves crazy time tho, and there was a whole guide one yt about how to use it for each type of problem. I often end up done with first module with 15 mins left. 2nd module i always fall a lil short because im not very good at the circles and those tricky percentage problems. I take too much time,

[@varunponnala873]

I didnt know the desmos tricks , tysmm

[@krish.6168]

12:59 you can actually plug both equations into desmos and create a slider for p. Then change p in desmos so that the lines are parallel. If the lines are parallel that means they never intersect = no solution

[@YvetteAkosuahNNimo]

Can you do NOVEMBER PREDICTION

[@avyaymanoj1246]

Thank you so much for going through these problems! They really helped me approach these types of SAT math questions in different and more efficient ways!

[@Ataraxiabby]

I did it all right!!😆😆Hope to get a 800 in math

[@aimaghumman4302]

thank you so much for this, this was very helpful for me

[@haziquniverse]

At 20:35 you could just plug r for each x and y. Since, we are looking for all r with respect to each x and y

[@pigbig5839]

No joke this saved me on so many questions! It’s like you predicted the future 😂

[@GG-yc8zy]

These were great questions. Thanks for the video!

[@stephanes.3921]

Minute 23: you could also point out that both equations are the same. So looking at one suffises.

[@jihyo-fc9vp]

I’m just a 14 year old student in Korea but these questions are soooooooooo easy that I got every questions right WHAT IS HAPPENING IN AMERICA IT IS MUCH EASIER THAN MY MIDDLE SCHOOL’S FINAL EXAM

[@bilalardakeskin3018]

Same here in turkey what the hell is this questions right? İ didnt even use pen to solve that questions. We learned all of this “hard questions(!)” when we are 10th grade

[@Weatherr]

2:38 on the digital sat you can just let x = a and plug (320/7)=x(16/7) and desmos will graphically give you of x which is a

[@trotfoxpvp2061]

12:40 easy workaround, since you know n> 25, the cost for the first 25 people would be a constant. Multiply the cost by 25 and see which one matches, in this case b

[@select7264]

But the right answer was A

[@preppros]

You don't want to do that. That's how they have intentionally created the trap wrong answer, which in this case is B.

[@pandathegaminglegend5700]

not how it works here tho bc that equation wouldn't work as the cost changed. say u had 26 ppl and u plugged in 26 for n then you would get $889 which is completely off (its meant to be 539). the only trick here would be to go and plug in 26 for n (or anything higher if u rly want) and see which one works (assuming u didn't know how to actually write the equation).

[@nahtan6968]

Thank you kind sir for this frivolous opportunity to exercise my mathematical adeptness

[@NgocTran-xt4oh]

I really appreciate your works. Many thanks ❤

[@Code2991]

I’m seeing people hoping they get a 1550, man the max I’ve gotten was 1100

[@laurenpinheiro298]

This awesome thank you so much! These are the exact questions I needed to be explained, plus the desmos hacks were soooo helpful.

[@ohtoricp3272]

I can't lie for the a + cd question I just made up values for a c d and x and substituted them all into the given answers one after the other, before arriving at C

[@nathandeolloz]

i teach sat math and this is a pretty common strategy that we use

[@Schoriphio]

Thanks so much 🙏🙏🙏🙏I really appreciate you, I have an exam soon and I will follow your programs. Keep it up.I have not been able to find many articles due to lack of resources, but I have seen your video, what do you recommend?🥺🥺🙏🙏🙏🙏🙏

[@preppros]

Hi, I am not completely sure of your question, but I would strongly recommend my Ultimate SAT Course, which will provide lessons teaching all of the concepts on the test and over 2,000 practice questions to get you ready for your Digital SAT. www.preppros.io/sat-course

[@Schoriphio]

@@preppros How can I get your SAT Mass book I can't buy it like other students, I have sat exam in June because I can't afford it, so how can I get your book, is there any way you can help me?🙏🙏🙏🙏

[@aruzhanbulatbekova144]

ideal video for challenging myself before the actual dsat)

[@AbileWiratmaka]

last question can be done pretty easily on desmos

[@Paradoxiann]

for 8:14 isn't -2108 the value for y=f(x) making it the actual answer since plugging y1~ax1+bx1+c+4 into desmos gives you -2112

[@Paradoxiann]

y=F(x)+4 is equal to -2112 not -2108 like you said

[@HenryAnigbogu]

for 9:02 you could have just made a table and put the vertex formula

[@TheMagikKarp]

damn i thought I wasn't gonna do great for math till I saw this if these are the hardest ones im bouta drop an easy 800

[@ermuunbilegamarzaya3457]

does digital sat math book include the 150 hardest problems?

[@myfreshtimberlands]

These are nice questions for practicing.

[@tom_thefirst2063]

I'm very confused @ 23:09, what exactly does it mean when it says: "as a constant or coefficient, the maximum value of the function it defines, where x >= 0." Any help would be amazing!

[@teddycitrus]

When they say "as a constant or coefficient", we simply need to take a step back and review those terms if needed. A coefficient is (typically considered to be) the multiplier of a variable, e.g. x. In the given functions, a clear coefficient is 33. Even though it isn't directly multiplied by x, it multiplies the exponent 0.4^(x + 3) or 0.4^(x - 2), and in the cases of these exponential functions, this means 33 is a coefficient. In equation II, one could also consider 0.16 a coefficient. A constant is simply an explicitly stated value that doesn't change with x/the variable. In the given equations I am not sure you could consider anything a constant. Now let's connect this to the rest. "the maximum value of the function" simply means the greatest value of the function, essentially, the highest y-value. "where x >= 0" is just a statement of the domain, limiting the function to only consider x-values that aren't negative. When we put this all together, the sentence "as a constant or coefficient, the maximum value of the function it defines, where x >= 0.", basically means: "A literal number value displayed in the function equation that is the highest value of that function, taking into account only positive x-values/x = 0." The question is asking you to find which functions have a number in their equation/formula that is equal to their highest y-value. (Answer: It's only equation II). sorry if the words are kinda goofy i couldn't think of any better way to explain it

[@SimiloluwaKeripe-or4xb]

really helpful....thanks a lot.

[@aahanaj07]

24:53 in g(x) isnt the y intercept 33*0.16?

[@riship7404]

the quadratic equation from 7:00: since it's f(x)+4 wouldnt u input the coordinate 23,4 into vertex form?

[@gamerboyblade6881]

are these questions in any of the official practice tests?

[@bereketgidey7167]

Does the question number two about the parabola's answer correct, I think it opens down cuz our coefficient is -4

[@Astro2035DD]

what a cool .big thanks

[@wmougon8425]

On the 3rd question why do you subtract the 4 from the y-intercept instead of adding it?

[@MathwithWaqasShah]

bcz in the question it was asked to find the y intercept of y=f(x) not of y=f(x) +4. thats why 4 is shifted on the other side of the equation means f(x)=y-4. i hope it would have helped

[@katie3913]

For question #5, wouldn't it be easier/more efficient to plug in both equations into Desmos, put "p" as a slider, and then adjust "p" until the two lines are parallel?

[@preppros]

Hi, you could use the slider but if the answer choice is a fraction such as 5/13 (0.385) the likelihood of you being able to find the correct answer with the slider is pretty low. According to the international students I worked with, who have been taking the Digital SAT for over a year, answer choices like those have been quite common for more difficult questions. So I would use it as a last line of defense if you were stuck on how to solve the question without the slider.

[@serena0702]

Thank you so much for this helpful video! I noticed that the questions in your are similar to the ones I encountered in the may trial and wanted to buy the book so bad, but unfortunately it won't arrive on time before the June trial, any advice?

[@preppros]

You can buy a PDF copy directly from us and get your copy right away at this link: preppros.teachable.com/p/my-downloadable-110389.

[@pengwin6929]

that was helpful but the last bit was hard to understand

[@AaryanPandeya]

Thanks Diva Vvvvhelpful

[@wistfulgraph]

Why do we know to try to find y-intercept of 33 for the exponential functions. How is that “defined.” I get the math to solve it. I just don’t know why we need to take the steps we take in the first place. What does it mean for a coefficient to “define” a maximum

[@VishByte]

I think it’s basically just asking if one of the parts in the equation(coefficients) is equal to the max

[@PhươngLyNguyễn-z2t]

why did you circle B in 27:16 (I believe the correct one is A)?

[@preppros]

Did you watch the explanation before as well as the desmos explanation after? I explained in depth why A is a trap answer and B is correct. I'd recommend rewatching the explanation and if the first part doesn't click, then hopefully the desmos approach will make sense.

[@PhươngLyNguyễn-z2t]

@@preppros thank u, I think I was tired and mistaken between the 2 graphs.

[@addicron7812]

in the first question why we shifted the graph for -12 like i don't understand what the second function has to do with the first

[@TutorDaveC8338]

where can we find a pdf of the exam paper? Thanks

[@sarahemadz]

can u pls explain the trick for finding the slope in a system of equation using -a/b? i keep getting 1/12 and I don't know how to get to 6 from that

[@preppros]

In the form ax+by=c you can find the slope using -a/b. For most students, I teach this trick in part by having them take that equation and put it into y= form which will show you why it works. Hope this clears it up!

[@PEYVANDDOLATIARJAGH]

very helpful thanks

[@adamgulcan1331]

in the first question, shudn't we put the -12 beside the f(x) in the left hand ?

[@giialiinh]

Im living outside the US, how can i purchase your book? :( i want to buy the pdf version of your book

[@preppros]

Hi, you can get a PDF copy here: preppros.teachable.com/p/my-downloadable-110389

[@karaladybug2266]

thank you sir 😄😊

[@JM_TU]

How did you get 91/7 when 13 +75=88?

[@epicblopblopblopit9191]

Just took it, lets just say the second math module was… dumb

[@showtime.jacobb3259]

Can you explain that last portion of your answer for the final question? I dont understand why you set your answer to the answer choice?

[@preppros]

I was setting the value equal to the answer choices because we know since it's an upwards facing parabola the value of a must be positive. The answers are giving the values of a+b+c and we solved in terms of a so using those answer choices we need a positive value. Hope this clarifies it! It's a super tricky question and may take watching the explanation back through with this in mind to click. Hope this clears it up though!

[@adnansrour8790]

​@@preppros how does the parabola having a vertex 9,-14 verify that the parabola is upwards

[@OverclockingCowboy]

@@preppros You already have the expression 64a - 14 = a+b+c 64a = (a+b+c) + 14 Thus “a” is positive if (a+b+c) + 14 is greater than zero. Answer D is an upward parabola. Answer C is a straight line, a=0, no parabola Answers B and A are both downward parabolas

[@pandathegaminglegend5700]

@@adnansrour8790 it says that it crosses through the x-axis twice. and since the y value of the vertex is negative that means the parabola needs to face upward. otherwise it would never cross the x-axis (draw out or use desmos and you'll see what i mean). this means a needs to be a positive value (anything greater than 0 works). so by setting up the equation in terms of a you just need to find the only one where a is positive and that's your answer

[@flagman45]

ah yes ill just use desmos on my SAT! Thanks!!

[@onlyphysical8139]

The digital SAT gives you desmos to your advantage

[@notsew7742]

Mannnn they didn't teach me any of this.

[@XHakronyx]

Bro, same here... I live in Panama, where we have one of the worst education systems in the world. I'm in my eleventh year, and I haven't been taught many of these things.

[@Sho-ux2lo]

bro there isn't any technique you are using at 20:45

[@ashleighmettee8497]

yea chat i’m cooked

[@encryptedhuli9482]

I have the big mistake of mis reading the numbers and then getting the wrong answer 💀

[@sp9430]

🎉

[@adamthesimpletonman583]

who else here 10 hours before the SAT

[@Angel-ry7ww]

🙋🏾‍♀️

[@Angel-ry7ww]

I’m actually taking it in 2hours 😃

[@hqs9585]

20:19 Hoe do you know that ab/57 is the product of the solutions prior to solving the problem i.e. factoring the expression you will get (57x+a)(x+b) =0, then X1 = a/57, and X2 =-b, now you have (-a/57)(-b) =ab/57 = k ab, then k = 1/57.

[@preppros]

Hi, I think you missed the important tip. When a quadratic is expressed in ax^2+bx+c form the product of the solutions is c/a which lets me jump all of the steps that otherwise need to be taken. Lots of little formulas and tricks like this that you can learn to make SAT math far easier. Hope this clears it up!

[@ArohaDahal]

If these are the hardest questions then I am ready for 800 in maths section

[@fishydangerous1367]

15:00

[@lorenblake]

13:48 why were u trying to find the slope in the first place? im confused

[@rihanbabu786]

me studing the day before

[@fabtube7177]

Im cooked

[@trentbateman]

Me tooooooo….im well done

[@LanaPerez-uo7tb]

Sameee, mine is in june 1st😭😭 Im cooked idek how to use desmos Ill just guess and get a tutor

[@jalter325]

me too bruh

[@rodrigoflores7020]

Same

[@lailasood5870]

yeah im cooked

[@Alexandra11127]

felt

[@colescott3969]

this was impossible i got 780 on my math and idk how to do over half of these wtf

[@gokittygorkr]

do u have tips for ppl to get 780 like u ?

[@ArshitSharma-po7qz]

LOW VOLUME!!

[@ІгорКурбатов]

womp womp

[@nhatnguyen6505]

cái lolllll má khó quá..

[@kathrinewells9072]

Thank you so much! It helps a lot!!! 🤍