SAT Prep: Practice Tests & Video Solutions

What Is the SAT and What Does It Cover?

The SAT is a standardised admissions test developed by the College Board, widely used by US universities and increasingly accepted by institutions worldwide, including a growing number in the UK. It measures the skills students develop in school — particularly in maths and evidence-based reading and writing — and is designed to help colleges assess readiness for undergraduate study. For UK students applying to US universities, or to UK programmes that request standardised test results, a strong SAT score can strengthen an application considerably.

The test is offered in a digital adaptive format at registered test centres. It runs for approximately two hours and fourteen minutes in its current digital form. The Maths section accounts for half the total score and is the area where focused preparation tends to produce the most significant gains.

SAT Format and Sections

The digital SAT is divided into two main sections: Reading and Writing, and Maths. Each section is split into two adaptive modules. Your performance on the first module of each section determines the difficulty level of the second module — meaning the test adjusts in real time based on how you are doing. The total score ranges from 400 to 1600.

The Maths section covers algebra, problem-solving and data analysis, advanced maths concepts, and additional topics including geometry and trigonometry. A built-in graphing calculator is available for the entire Maths section in the digital format, though knowing when and how to use it efficiently still requires solid preparation.

How Is the SAT Scored, and What Is a Good Score?

The SAT produces two section scores of 200–800 each: one for Reading and Writing and one for Maths. These combine to give a composite score of 400–1600. The average score is approximately 1050. For UK students targeting competitive US universities, a composite of 1300–1400 is generally considered strong, with 1500+ placing you among the top applicants. Many UK universities that consider SAT scores for entry to foundation or international programmes look for scores in the 1200–1350 range. There is no wrong-answer penalty on the digital SAT, so you should always attempt every question.

What Content Areas Are Tested in SAT Maths?

SAT Maths tests four content areas. Heart of Algebra covers linear equations, inequalities, and systems of equations — this is the largest single category. Problem-Solving and Data Analysis covers ratios, percentages, proportional reasoning, and interpreting graphs and statistics. Passport to Advanced Math tests quadratic equations, polynomial functions, and complex algebraic manipulation. Additional Topics in Maths covers plane geometry, coordinate geometry, and trigonometry.

The two heaviest-weighted areas are Heart of Algebra and Passport to Advanced Math, so students who strengthen those two areas first tend to see the largest score improvements. A diagnostic practice test is the most efficient way to identify which of these content areas needs the most attention before you begin a full study plan.

What Is the Hardest Part of the SAT, and How Do You Handle It?

Most students find Passport to Advanced Math the most demanding section. Questions here require you to manipulate complex expressions, work with non-linear functions, and reason about algebraic structure — skills that benefit from understanding the method rather than just applying a formula. The adaptive second module can also present more challenging questions if you perform well on the first, so preparation needs to extend into genuinely difficult material rather than stopping at the comfortable middle tier.

The most effective strategy is to study the step-by-step method for each question type, practise under timed conditions with full-length papers, and review every incorrect answer by working through a video solution that explains the reasoning — not just the final answer.

Why StudyPug for SAT Preparation?

StudyPug is built around one principle: understanding the method, not memorising answers. Every SAT video lesson is taught by a certified teacher who walks through the reasoning behind each question type, so when a similar question appears on test day — phrased differently or in a new context — you know how to approach it. Videos are not AI-generated; they are made by qualified educators who know the exam inside out.

The preparation system combines three things that work together. A diagnostic assessment identifies exactly which content areas need the most work so your study time is spent where it counts. Adaptive practice then adjusts the difficulty of questions to your current level, keeping you challenged without overwhelming you. And unlimited full-length SAT practice papers based on real exam patterns let you build timing, format familiarity, and confidence through repeated attempts — retaking any quiz or test as many times as you need.

Progress is tracked automatically, so you can see improvement over time and know when you are ready to move on to the next content area. All of this is available on any device, fully mobile-optimised, so you can prepare at home, at school, or on the go.

StudyPug offers free SAT practice content as a no-risk starting point. Full access to all practice tests, video solutions, and the diagnostic is available on subscription, backed by a 30-day money-back guarantee. There is no free trial of the paid plan — but the money-back guarantee means you can start with confidence.

Ready to begin? Explore SAT prep on StudyPug and take your first diagnostic today.

What You Will Learn: SAT Maths Coverage

StudyPug's SAT maths preparation covers all four tested content areas in full. Topic areas include:

• Heart of Algebra: solving and graphing linear equations, systems of equations, linear inequalities, and interpreting linear models
• Problem-Solving and Data Analysis: ratios and proportional relationships, percentages, unit conversions, scatterplots, two-way tables, and statistical measures
• Passport to Advanced Math: quadratic equations and functions, polynomial operations, rational and radical equations, exponential functions, and interpreting function notation
• Additional Topics: area and volume, circle theorems, right-triangle trigonometry, and working with complex numbers

Each topic is broken into short, focused lessons so you can target exactly the areas the diagnostic flags, rather than working through material you already know. Concept videos teach the method; practice questions test it; and full-length papers bring it all together under realistic timed conditions.

How to Build Your SAT Study Plan

A well-structured SAT study plan moves through four phases. Phase 1 (Week 1): Take a full-length diagnostic practice paper under timed conditions. Review your results to identify your weakest content areas by category. Phase 2 (Weeks 2–6): Work through the topic videos and adaptive quizzes for your weakest two content areas first, then cover the remaining areas systematically. Aim for daily sessions of thirty to forty-five minutes — consistency outperforms occasional long sessions. Phase 3 (Weeks 7–10): Take a full-length timed practice paper every weekend. After each paper, watch video solutions for every question you got wrong. Track your progress and note which content areas still need reinforcement. Phase 4 (Final Fortnight): Focus on timed practice and review only. Complete at least two full-length papers in the two weeks before test day. Avoid introducing new topics — build familiarity and timing confidence instead.

Students who begin preparation eight to twelve weeks before their test date and follow a structured plan tend to see the clearest improvement. If your timeline is shorter, prioritise Heart of Algebra and Passport to Advanced Math, as these carry the greatest weight in the Maths section score.