<p>Hi,
I'm a British student hoping to apply to the U.S. for university and I'm concerned about the maths section of the SAT and the Maths ii Subject Test. Don't get me wrong, Maths is one of my best subjects and I'm predicted an A* for it at GCSE, but I receive the SAT practice question daily and there is a lot of content that we don't learn about for GCSE, so I was wondering if someone could make a concise list of the topics on the SAT and the Subject Test, I know there is functions which we only learn at A-Level, but I don't know much else.</p>
<p>The SAT tests 4 general subject areas in mathematics: Number Theory, Algebra and Functions, Geometry, and Probability, Statistics and Data Analysis.</p>
<p>When I am preparing students for the SAT, I don’t generally emphasize the specific topics - you have probably seen all of the topics and they get reviewed naturally as you learn SAT math startegies and practice SAT math problems. </p>
<p>That said, below I will put a somewhat comprehensive list of the topics that can appear on the SAT. Keep in mind that you can get an 800 in SAT math without being an expert in all of these subjects:</p>
<p>Number Theory: integers, consecutive integers, parity, prime factorizations, gcd, lcm, divisibility and remainders, the number line, comparing fractions and decimals, reducing fractions, percents and percent change, ratios, the pigeonhole principle, sets and venn diagrams, sequences, arithmetic sequences and series, distance = rate*time</p>
<p>Thank you:-) I know a lot of those so I don’t know if they go into more detail than GCSE material? But anyway thank you:-)</p>
<p>Algebra and Functions: Solving linear and nonlinear equations, linear inequalities, and systems of linear and nonlinear equations, laws of exponents including negative and fractional exponents, roots, direct and inverse variation, absolute value equations and inequalities, functions and their graphs, intercepts, even and odd functions, quadratic functions, factoring, basic transformations of graphs</p>
<p>Geometry: polygons, circles, cylinders, perimeter, area, circumference, volume, coordinate geometry, slope and equations of lines, angles, similarity, special right triangles, isosceles and equilateral triangles, Pythagorean Theorem and its converse, Generalized Pythagorean Theorem, the triangle rule, exterior angle to a triangle, angles of regular polygons, arc length in a circle, areas of sectors</p>
<p>Probability, Statistics, and Data Anlaysis (and I’ll include “miscellaneous” here): mean, median, mode, counting principle, permutations and combinations, simple probability, analyzing charts, tables and graphs, basic logic, contrapositive, existential and universal quantifiers.</p>