THE HARDEST
SAT® MATH QUESTIONS,
FULLY EXPLAINED

Concepts Separating You from an 800

Comfortable with most SAT Math questions, but still getting stuck on the hardest ones? In The Hardest 1%, we walk you through five challenging question types, step by step, with five variations of each to help you use what you learn when the next question looks different.

Got a question? See our FAQs or contact us.

Where some of our SAT students study now

WHAT YOU’LL LEARN

Know where to start when a difficult SAT Math question leaves you stuck.

RECOGNISE THE CONCEPT

A question can look unfamiliar even when you know the maths behind it. Learn to spot what it’s testing and connect it to something you already understand.

UNDERSTAND THE METHOD

See how to turn the information in a question into a solution. Follow the reasoning behind each step, so you understand when and why to use it.

APPLY WHAT YOU LEARN

Put your understanding to work as the questions change. Practise deciding what stays the same, what needs a different approach, and how to move forward on your own.

Watch a walkthrough

Watch Will walk through one question type

In this walkthrough Will takes one of the 100 questions and shows the full thought process: what the question is really testing, the trap most students fall for, and the cleanest route to the answer.

Thirteen years spent getting students the last, hardest points.

Will has tutored the SAT full-time since 2013, coaching students into Harvard, MIT, Oxford and beyond. The 100 questions in this guide are the exact problems he pulls out when a student is stuck between a strong score and a perfect one.

10K+

hours spent analizing the SAT content

1-on-1

Weekly sessions behind the method

1000+

Students coached

13 years

Of tutoring the SAT​

Every hard corner of SAT Math, mapped.

Not a random pile of problems — a deliberate spread across the topics that actually cost top scorers points.

Heart of Algebra

18Q

Linear systems, absolute value, and the traps in "solve for" phrasing.

Passport to Advanced Math

18Q

Quadratics, exponentials, and manipulating nasty algebraic expressions.

Problem Solving & Data

Ratios, percentages, and the statistics questions that hide the trick.

18Q

Geometry & Trigonometry

Circles, angles, and the trig identities that show up in the last five questions.

18Q

Nonlinear Systems

Where lines meet curves — discriminants, intersections, and edge cases.

18Q

100 questions

Each with a complete worked solution — nothing left as "left to the reader."

A sample from the guide

WHAT OUR STUDENTS SAY

Hear from students who worked with Will on their SAT preparation, from the scores they achieved to what helped them along the way.

READY TO WORK ON THE HARD ONES?

Get The Hardest 1% and take your time with the SAT Math questions that still trip you up.

Five question types, five variations of each, and explanations you can come back to whenever you need them.

$15

Instant PDF Download

One-time payment

Questions, answered

Everything students and parents ask before buying

If you’re scoring around 700 or above in SAT Math and the hardest questions still trip you up, this book is for you. You should feel comfortable with the basics and be ready to work on the problems that take a little more thought. If you’re still building that foundation, you’ll get more out of the book a bit later in your prep.

We mean the questions that make even strong Math students stop and think, “Where do I start?” They use concepts you already know, but put them together in unfamiliar ways. The title reflects that focus on difficult questions. It isn’t an official College Board ranking.

You’ll get a PDF covering five challenging SAT Math question types, with five variations of each. We walk you through the solutions, explain why the methods work, and point out places where it’s easy to go wrong. The variations help you see how the same idea works when the question looks different.

Sometimes you read a solution, understand it, and still get stuck when a similar question comes up. That’s what we focus on here. We spend time on each question type and explore it through different variations, so you can learn how to approach it yourself. The book fits alongside your regular SAT practice whenever you want to take a closer look at these harder problems.

Yes. This book covers the hardest math questions on the SAT. If you’re looking for Reading and Writing, check our free guides askerra.com/sat-guides/

It’s a PDF you can download straight after buying. You’ll create a free Askerra account to access it, and you can use the same account for our free SAT guides too. We don’t send a printed copy.

Yes. Will walks you through each solution just as he would in a lesson: what the question is asking, where to start, and why each step makes sense. He also points out the mistakes that are easy to make along the way, so you can understand how to reach the answer yourself.

Of course. Scroll up to see a sample question with its full solution. It follows the same format as the rest of the book, so you can get a feel for the explanations before you buy.