click para buscar
Math Topics SAT / ACT/ CPT

Mathematics Topics on the SAT / ACT / CPT/ PERT/ TABE / GRE / GMAT Test

 MATH SAT (Scholastic Aptitude Test )

The Mathematics section of the SAT contains two types of questions:
Standard multiple-choice (44 questions)
Student-produced response questions that provide no answer choices (10 questions)

Number and Operations (20-25%)

Rules of Signs, Factors, Multiples, LCD, GCF
Arithmetic word problems (percent, ratio, proportion, and so on)
Properties of Integers (even, odd, prime numbers, divisibility, etc.)
Rational Numbers
Sets (Union, Intersection, Elements)
Counting Techniques
Sequences and series (including exponential growth)

Algebra and Functions (35-40%)

Substitution and simplifying algebraic expressions
Properties of exponents
Algebraic word problems
Solution of Linear Equations and Inequalities
Systems of Equations and Inequalities
Quadratic Equations
Rational and Radical Equations
Specials Factoring
Equations of Lines
Absolute Value
Direct and Inverse Variation
Concepts of Algebraic Functions
Newly defined based on commonly used operations

Geometric and Measurement (25-30%)

Area and Perimeter of a Polygon
Area and Circumference of a Circle
Volume of a box, cube and cylinder
Pythagorean Theorem and special properties of isosceles, equilateral and right triangles
Properties of Parallel and Perpendicular lines
Coordinate Geometry
Geometry visualization

Data Analysis, Statistics,and Probability (10-15%)

Data Interpretation (tables and graphs)
Describe statistics (mean, median and mode)

Take from: CollegeBoard  Getting Ready for the SAT

 MATH TOPICS ACT ( American College Testing )

The ACT Mathematics Test is a 60 question, 60 minute test designed to assess the mathematical skills students have typically acquired in courses taken up to the beginning of  grade 12. The test presents multiple choice questions that require you to use reasoning skills to solve practical problems in Mathematics.

Basic operations using whole numbers,   Rules of Signs, Decimals, Fractions, and integers place value, square roots and approximations, the concept of exponents, scientific notation; factors; ratio, proportion, percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simply probability; data collection, representation and interpretation, and understanding simple descriptive statistics.

Properties of Exponents and Square Roots, evaluation of algebraic expressions through substitution, understanding algebraic operations, solution of quadratic equations by factoring, special factoring.

Understanding quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, system of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials and complex numbers.

Graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves; graphing inequalities; slope; parallel and perpendicular lines; distance; midpoints; and conics.

Properties  and relations of plane figures, angles, perpendicular and parallel lines; properties of circles, triangles, rectangles, parallelograms, trapezoids; transformations; volume figures; geometry three dimensions

Trigonometric relations in right triangles, values and properties of trigonometric functions; graphing trigonometric functions; modeling using trigonometric functions; use of trigonometric identities; and solving trigonometric equations.


 Postsecondary Education Readiness Test  (P.E.R.T.)

I recommend to refresh and learn the topics as:  Pre-Algebra, Elementary Algebra, Basic Plane Geometry and measurement, Data Analysis and Statistics Basic like for the SAT.
Also, General Arithmetic as Operations with decimals without calculator.
The oficial guide mention  the following lessons:

  Equations– solving linear equations, linear inequalities, quadratic equations and
literal equations
 Evaluating algebraic expressions
 Polynomials - factoring, simplifying, adding, subtracting, multiplying, and dividing
 Dividing by monomials and binomials
 Applying standard algorithms or concepts
 Coordinate planes- translate between lines and inspect equations
 Focusing on pairs of simultaneous linear equations in two variables
    Lines in the coordinate plane and their equations. Include predicting visual features
of lines by inspection of their equations, determining the equation of the line through two given points, and determining the equation of the line with a given slope passing through a given point.

Esto es simplemente una referencia ud debe asesorarse con su College o la empresa que patrocina estos examenes.

Strategies for taking the ACT/ SAT/ GRE/ GMAT/ ASVAP/ FCAT tests

Refresh your knowledge and skills in the content areas.
Review those content areas you have studied but are not fresh in your mind. Spend your time refreshing your knowledge and skills in the content areas that make up large portion of the test

Familiarize yourself with the content of the Math Topics Test
Note which content areas make up a large proportion of the test and which do not.

Use of Calculators on the ACT / SAT and any Math Test
On test day Be sure your calculator is working and has a reliable batteries. You may bring a backup calculator and extra batteries.
Using a more powerful , but unfamiliar , calculator  is not likely to give you an advantage over using the kind you normally use.
You may use any four –function , scientific, or graphing calculator, unless it has features described in the current list of prohibited devices at


Mathematics Review:

Add/ Subt./ Mult and Dividing Fractions
Equilateral Triangle
Real Numbers (Properties) and Number Line
Order of Operations
Corresponding Angles
Adding/ Subt. / Mult/ and Division with  Decimals
Exponent Powers
Basics of Factors, GCF, LCD
Obtuse triangle
Irrational Numbers
Area Calculations
The Quadratic Formula
Slope Formula
General Polynomial
Perimeter Calculations
Multiplying Fractions
Complex Numbers

CPT Mathematics Review

The College Entry-Level Placement Test (CPT) for mathematics will be used to
determine your placement into a mathematic class. The test begins at the elementary
algebra level. If your algebra skills are strong enough, you will be branched into the
college-level mathematics test for course placement. If your algebra skills are weak, you
will be branched down into the arithmetic section of the test. The arithmetic portion of
the test will measure your ability to work with whole numbers, fractions, decimals,
percents, and word problems that can be solved without using algebra. If your arithmetic
skills are strong enough you will be placed into Elementary Algebra; if not you will be
placed into Pre-Algebra.

Algebra Test
Arithmetic Test
College-level Mathematics
Test and Placement
Elementary Algebra

Math Topics GRE ( Graduate Record Examinations )


Material learned in the usual sequence of elementary calculus courses — differential and integral calculus of one and of several variables — includes calculus-based applications and connections with coordinate geometry, trigonometry, differential equations and other branches of mathematics.


Elementary algebra: basic algebraic techniques and manipulations acquired in high school and used throughout mathematics
Linear algebra: matrix algebra, systems of linear equations, vector spaces, linear transformations, characteristic polynomials and eigenvalues and eigenvectors
Abstract algebra and number theory: elementary topics from group theory, theory of rings and modules, field theory and number theory.


Introductory real analysis: sequences and series of numbers and functions, continuity, differentiability and integrability, and elementary topology of R and Rn
Discrete mathematics: logic, set theory, combinatorics, graph theory and algorithms
Other topics: general topology, geometry, complex variables, probability and statistics, and numerical analysis

Math Topics GMAT ( Graduate Management Admission Test )

The areas in math tested in the GMAT exam are not different from what one has learned in high school. In fact, the syllabus of GMAT Math is shorter than what one may have studied many years ago in the school. The problem is that one may not easily remember or recall what one has seen several years ago. A good GMAT course, either self-made or through review classroom, should therefore, first emphasize and help recall what one already knows. Therefore, to get started, GMAT aspirants should simply pull out old high school books and familiarize themselves with formulas and concepts described there.

Computer-adaptive Test

The GMAT Math is not only different in the way questions are asked, but the order and difficulty of GMAT math is also very unique. Experts contend that a high GMAT score is dependent on the ability to tackle the adaptive style of the GMAT exam. Since the level of difficulty of a regular question is dependent on correctness of the previous response, all test-takers feel challenged when taking the GMAT exam in the computer adaptive environment. Thus, learning how to face difficult testing conditions may have many advantages. In short, students may want to build stamina to deal with hard GMAT Math questions without feeling stressed out.

Word Problems

Studies have shown that students, who get high GMAT score, are extremely good at solving the word problems. There are two reasons for that: (1) about one-third of all GMAT math questions are word-problems and (2) cracking word-problems does not require learning a new math topic. Experts conclude that high scorers have one thing in common – they have mastered the art of translating the given GMAT Math problem from English statements (word and sentences) to arithmetic / algebra forms thus making it mathematically solvable. The rule of thumb is simple: translate word problems verbatim in the same order. Upon correct translation, one could see how difficult looking problems become simple and solvable. All good GMAT course train GMAT exam takers in the word problem transformation process.

Math’s Tutor: O. Alfredo M.
Miami, Fl 33193  USA
Cell (786)226-2014
Cost: See Rates in the section Test Preparation of my web