Standardized tests can be very intimidating, especially when they hold so much weight in college admissions. But understanding the structure of the test and the key topics it covers can make all the difference. The Digital SAT and ACT are both challenging, but with proper preparation, you can face them with confidence. Let’s break down what you need to know about each exam, highlight the key math concepts that appear frequently, and offer tips on how to best prepare for both.

The Digital SAT: What to Expect on the Math Section

The SAT recently transitioned to a digital format, and this shift comes with some significant changes. If you’re unfamiliar with the new setup, here’s what you need to know:

Two Modules: The math section is split into two separate modules, each containing 22 questions. You’ll have 35 minutes to complete each one, meaning time management is key.

Adaptive Test: The digital SAT adjusts the difficulty of questions between the two modules based on your performance in the first module. Do well in Module 1, and you’ll get harder questions in Module 2. If you struggle with the first module, Module 2 will present easier questions. This adaptive format directly impacts your score range. A strong performance in the first module will give you a higher score threshold, while weaker performance lowers that ceiling.

This adaptive nature of the test makes it essential to start the test strong. A good strategy is to brush up on the fundamental topics that appear most frequently and practice those thoroughly so you can tackle them with confidence during the test.

Math Breakdown

Here’s the distribution of topics you’ll find in the math section:

• 35% Algebra: Expect a solid portion of questions to focus on linear equations, inequalities, and systems of equations. Mastering algebraic manipulation is crucial since it forms the foundation of many other math topics.

• 35% Advanced Math: These questions will test your ability to interpret and manipulate more complex expressions. You’ll see questions on functions, polynomial expressions, rational expressions, and exponential growth models.

• 15% Problem Solving & Data Analysis: You’ll need to be comfortable interpreting data, whether it’s from graphs, tables, or word problems. Ratios, percentages, and proportional relationships often appear here.

• 15% Geometry & Trigonometry: While less frequent than algebra and advanced math, you can still expect a few geometry and trigonometry questions. Make sure you’re familiar with angles, circles, triangles, and basic trigonometric functions like sine, cosine, and tangent.

The ACT: What You Need to Know

While the SAT has gone digital, the ACT remains paper-based—for now. However, there’s been talk about the ACT moving toward a digital format in the near future. For now, you can rest easy knowing that the ACT is still a traditional test, but it’s just as important to familiarize yourself with its format and structure.

The math section of the ACT is the third part of the test, and it’s a bit longer than the SAT’s math section:

60 Questions in 60 Minutes: You’ll need to work fast and stay accurate, as you’ll have only one minute per question. Time management is crucial on the ACT.

Wide Range of Topics: The ACT covers a broad spectrum of math topics, similar to the SAT. You’ll encounter questions on algebra, geometry, trigonometry, and functions.

While the ACT isn’t adaptive, it covers a lot of ground in just 60 questions, so you’ll need to be familiar with a variety of topics to do well. And as with the SAT, algebra and advanced math concepts are heavily tested.

ACT Math Breakdown

The ACT Mathematics Test covers a wide range of topics, with a focus on both foundational and advanced concepts. Here's a breakdown of the main content areas:

Preparing for Higher Math (57–60%)

This category covers the more advanced topics that students typically encounter later in high school. It is divided into five areas:

1. Number & Quantity (7–10%): This section focuses on real and complex numbers. You’ll be working with exponents, vectors, and matrices—so brush up on those.

2. Algebra (12–15%): Algebra is a big deal here. You’ll be solving, graphing, and modeling all kinds of expressions, from linear to polynomial to exponential. Expect to solve systems of equations, too.

3. Functions (12–15%): You’ll need to understand different types of functions—linear, polynomial, radical, and logarithmic. Be ready to apply them in different ways.

4. Geometry (12–15%): Get ready for questions about shapes, solids, congruence, similarity, surface area, and volume. Trigonometric ratios and conic sections will also pop up.

5. Statistics & Probability (8–12%): You’ll need to interpret data and calculate probabilities. Expect to work with bivariate data and describe distributions.

Integrating Essential Skills (40–43%)

This part of the test looks at how well you can pull different math concepts together to solve more complex problems. You’ll be asked about rates, proportions, areas, averages, and more.

Modeling

Modeling questions are sprinkled throughout the test and focus on your ability to create, interpret, and improve mathematical models. It’s not its own section, but it’s an overarching concept throughout the test.

The Three Key Math Concepts for Both Tests

Although the SAT and ACT have their differences, they share some common ground when it comes to math. Mastering the following three concepts is essential for both tests:

1. Solving Equations: This is a fundamental skill across both the SAT and ACT. You’ll need to solve equations in various forms, from simple linear equations to more complex quadratic or polynomial ones. On the surface, solving equations might sound straightforward, but both tests love to throw curveballs that require deeper thinking.

   For example, you might face problems that ask you to isolate a variable or plug in specific values, but there’s more to it than just rearranging terms. Sometimes you’ll need to factor quadratic equations, apply the quadratic formula, or deal with exponential and logarithmic relationships. The tests are designed to see how well you can move between different forms of an equation or recognize when to apply a particular method.

   To tackle these questions efficiently, it's important to get comfortable with manipulating equations quickly and confidently. Practice different types of problems so that when test day arrives, you’ll be able to spot patterns, determine the best approach, and avoid common pitfalls. The more versatile you are in your problem-solving methods, the better equipped you'll be to handle whatever equation the test throws your way.

2. Finding Intercepts: Graph-related questions pop up frequently on both the SAT and ACT, and one thing you’ll often need to do is find the intercepts of a graph. The x- and y-intercepts are crucial for understanding the behavior of functions and graphing lines or curves accurately.

   On both tests, you’ll likely encounter questions that require you to determine where a graph crosses the x- or y-axis, often as part of a broader problem about a function’s properties or how two functions relate. Finding intercepts might seem like a basic task, but it often plays into larger questions where you’ll also be asked to analyze slope, symmetry, or even compare two functions to find points of intersection.

   It’s important to develop a solid strategy for handling these questions quickly and correctly. Start by reviewing the basics: when the graph crosses the y-axis, x is zero, and when it crosses the x-axis, y is zero. From there, practice finding intercepts both algebraically and visually, whether you're working with a line, parabola, or more complex curve. Being able to handle intercepts with ease will save you time, boost your confidence, and help you tackle the broader questions attached to them.

3. Manipulating Expressions: This is one of the most versatile skills you’ll need to master for both the SAT and ACT. Expression manipulation shows up in a variety of question types, whether you're asked to simplify an equation, factor it, or rewrite it in a different form. Understanding how to work with expressions efficiently can make all the difference.

   For example, you might encounter questions that ask you to rewrite an equation to isolate a specific term, or you’ll need to find an equivalent form of an expression to simplify the problem. Factoring plays a big role here, too, whether you're working with quadratics or more complicated polynomials. You may also see problems that require you to substitute values into an expression or rewrite exponential equations in logarithmic form. The ability to manipulate expressions cleanly is essential, especially when you're under pressure and trying to avoid careless mistakes.

   The best way to get better at this is through practice. Work on recognizing when and how to apply different techniques, like factoring, expanding, or simplifying complex expressions. You’ll see this skill pop up in various forms across both tests, so the more practice you have, the more second-nature these manipulations will become. Once you're comfortable, you'll be able to work through these problems more confidently, saving precious time and mental energy for other tough questions.

Key Differences in Math Concepts Between the SAT and ACT

While the SAT and ACT share similarities in the math concepts they cover, the way these concepts are tested differs significantly between the two exams. Here’s a breakdown of how the questions, problem sets, and what each test evaluates can vary:

1. Calculator Use

• SAT: The digital SAT math section allows calculators throughout the entire math section (this is a significant change from the paper ACT)! The SAT places a stronger emphasis on data analysis, complex problem-solving, and algebra compared to the ACT. The math questions also tend to be more “puzzle-like,” requiring critical thinking, though they are less time-pressured than the ACT’s math questions.  

• ACT: In contrast, the ACT also allows calculators throughout the entire math section. The ACT has a reputation for having straightforward questions but demands speed, as the time limit is strict, with only about 1 minute per question.

2. Emphasis on Word Problems

• SAT: The SAT places a strong emphasis on word problems and real-world applications. Many questions are framed within practical scenarios, requiring students to interpret a situation, extract the relevant mathematical information, and solve the problem. The SAT often tests your ability to model problems and interpret results from real-life situations.

• ACT: While the ACT includes word problems, they tend to be more straightforward. The ACT focuses more on the direct application of math skills, without as much emphasis on real-world contexts or complex setups. This makes the ACT math section feel more formulaic, moving at a quicker pace.

3. Time Pressure

• SAT: The SAT gives students more time per question in the math sections. With 80 minutes to complete 58 questions, students have approximately 1 minute and 23 seconds per question, allowing for a deeper understanding and analysis of each problem.

• ACT: On the other hand, the ACT allows 60 minutes for 60 questions, giving students exactly 1 minute per question. This faster pace adds pressure to solve problems more quickly, making efficient time management a crucial skill for ACT test-takers.

4. Level of Difficulty and Question Type

• SAT: The SAT emphasizes algebra and data analysis, with fewer questions on geometry and trigonometry. It also tends to include multi-step problems that require more analysis and deeper thinking. The SAT features grid-in questions where students provide their own answers without multiple-choice options, adding another layer of challenge.

• ACT: The ACT covers a broader range of math topics, including more geometry and trigonometry than the SAT. The questions are generally more direct and focus on quick calculations rather than complex reasoning. All ACT questions are multiple-choice, which allows for educated guessing, but the range of topics means students need to be comfortable with a wider variety of math concepts.

5. Focus on Geometry and Trigonometry

• SAT: Geometry plays a smaller role in the SAT’s math section, and while trigonometry appears, it’s not heavily tested. The SAT is more focused on algebra, functions, and linear equations, so students don’t need an in-depth understanding of geometry or trigonometry to do well.

• ACT: In contrast, the ACT includes a greater emphasis on geometry and trigonometry. Students can expect to see more questions involving shapes, angles, volumes, and trigonometric ratios like sine, cosine, and tangent. This makes the ACT more suited for students who are comfortable with these topics.

How BetterGradez Can Help You Master the SAT and ACT

At BetterGradez, we understand how challenging it can be to prepare for standardized tests like the SAT and ACT but with our 1:1 tutoring services, you do not have to face it alone. That’s why we offer 1:1 online  tutoring services for SAT prep and ACT prep designed to help you master the key concepts we’ve discussed. Our experienced math tutors will work with you to create a personalized study plan that focuses on your unique strengths and weaknesses - ensuring that you ace SAT / ACT.

With one-on-one guidance from a dedicated SAT prep tutor or ACT prep tutor, we’ll help you sharpen your problem-solving skills, build confidence in your ability to handle toughest math concepts, and practice under test-like conditions so that you feel fully prepared on test day. Whether it’s solving equations, finding intercepts, or manipulating expressions, we’ll guide you through the process step by step.

If time is tight, our online SAT tutoring and ACT tutoring will help you prioritize high-impact topics and streamline your study sessions for maximum results. At BetterGradez, our goal is simple: to help you achieve the score you deserve. Schedule your free consultation today and take the first step toward conquering the SAT or ACT with personalized online SAT or ACT prep from a tutor fully invested in your success