SAT and PSAT Math

Looking for free SAT Math help and PSAT? We have a collection of free videos, games, activities and worksheets that would help you in your PSAT and in your SAT Math preparation and practice.

These lessons cover

Tips and strategies for the PSAT and SAT.
Worked solutions and video walkthroughs for some SAT practice tests.
Concepts that you will need to know for the SAT Math sections.

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More SAT Tips and Prep

We have added lots of free resources and videos to help you prepare for the New SAT starting in March 2016. These materials are for the redesigned SAT and PSAT, which is for you, if you are taking the SAT in March 2016 and beyond or PSAT on/after October 2015.

Official Redesigned PSAT Math Practice Test

PSAT/NMSQT Math Practice Test 1, Sections 3 & 4

PSAT Practice Test 1 (pdf)

The following are tips, videos, walkthroughs, and solutions for the Official Redesigned PSAT/NMSQT Math Practice Test 1 from CollegeBoard.

PSAT Practice Test 1 Math Solutions

PSAT/NMSQT Math Practice Test 1, Section 3, Calculator Not Permitted
Solutions 1 - 4
Solutions 5 - 8
Solutions 9 - 12
Solutions 13 - 17

PSAT/NMSQT Math Practice Test 1, Section 4, Calculator Permitted
Solutions 1 - 4
Solutions 5 - 8
Solutions 9 - 12
Solutions 13 - 16
Solutions 17 - 20
Solutions 21 - 24
Solutions 25 - 29
Solutions 30 - 31
PSAT/NMSQT Math Practice Test 2, Sections 3 & 4

PSAT Practice Test 2 (pdf)

PSAT Practice Test 2 Math Solutions
PSAT/NMSQT Official Test

PSAT Official Test 2019 (pdf)

PSAT Official Test 2019 Math Solutions

Official SAT Tests Questions & Solutions

SAT Math Practice Tests for March 2016 and beyond

The following are videos, walkthroughs, and solutions for the math sections of the SAT Practice Tests from the Official SAT Study Guide.

Format Changes and Tips for the New SAT starting March 2016

SAT Math for March 2016 and beyond

Practice the new, redesigned SAT Solutions according to topics. About the SAT Math Test
Heart of Algebra
Problem Solving and Data Analysis
Passport to Advanced Math
Additional Topics in Math

Sample Questions & Step by Step Solutions illustrating the distinctive features of the redesigned SAT’s Math Test from the College Board

SAT Sample Tests & Solutions
New SAT Practice Test 1 & Solutions
More SAT Practice Questions & Solutions Solutions 1 - 4
Solutions 5 - 8
Solutions 9 - 12
Solutions 13 - 17

The information and resources given below are for the old SAT (before March 2016).

Logical Reasoning

Algebra and Functions Review

Concepts that you need to know for the SAT

Operations on Algebraic Expressions
Adding and Subtracting Algebraic Expressions
Multiplying Algebraic Expressions

Factoring
Difference of Two Squares
Finding common Factors
Factoring Quadratics

Exponents
Rules of Exponents
Evaluating Expressions with Exponents and Roots I
Evaluating Expressions with Exponents and Roots II

Solving Equations
Solving Linear Equations I
Solving Linear Equations II
Working with ?unsolvable? equations
Solving for one Variable in terms of another
Solving Equations involving Radical Expressions

Absolute Value
Solving Absolute Value Equations
SAT Solutions - Absolute Value I
SAT Solutions - Absolute Value II

Inequalities
Direct Translation into Mathematical Expressions Solving Linear Inequalities
Solving Compound Inequalities
SAT Solutions - Inequalities

Systems of Linear Equations and Inequalities
Solving Systems of Equations by Substitution
Solving Systems of Equations by Addition or Elimination
Solving Systems of Equations Graphically
SAT Solutions - Systems of Linear Equations

Quadratic Equations
Solving Quadratic Equations by Factoring

Rational Equations and Inequalities
Solving Rational Equations I
Solving Rational Equations II
SAT Solutions - Solving Rational Equations

Direct and Inverse Variation
Direct Variation
Inverse Variation
SAT Solutions -Direct and Inverse Variation

Word Problems
SAT Solutions - Algebra Word Problems I
SAT Solutions - Algebra Word Problems II
SAT Solutions - Rate Problems

Functions
SAT Functions
Function Notation
Domain and Range of a Function
SAT Solutions - Function Notation, Domain and Range
SAT Solutions - Using New Definitions
SAT Solutions - Functions as Models
Linear Functions: Their Equations and Graphs
Quadratic Functions: Their Equations and Graphs
SAT Solutions - Functions and Graphs Qualitative Behavior of Graphs and Functions
Translations and their Effects on Graphs and Functions
SAT Solutions - Translation of Graphs

Geometry and Measurement Review

Concepts that you need to know for the SAT

Geometric Notation
SAT Solutions - Points and Lines

Angles in the Plane
Types of Angles
Vertical Angles
Supplementary Angles
Complementary Angles
Corresponding Angles
Co-Interior Angles
Alternate Interior Angles
SAT Solutions - Angles in the Plane

Triangles (including special triangles)
Equilateral Triangles and Isosceles Triangles
Right Triangles and the Pythagorean Theorem
30-60-90 Triangles
45-45-90 Triangles
3-4-5 Triangles
Congruent Triangles - SSS and SAS
Congruent Triangles - AAS and ASA
Similar Triangles
The Triangle Inequality
SAT Solutions - Triangles I
SAT Solutions - Triangles II
SAT Solutions - Triangles III

Quadrilaterals
Parallelograms
Rectangles and Squares
Classify Quadrilaterals
Angles in Quadrilaterals

Areas and Perimeters
Areas of Squares and Rectangles
Perimeters of Squares and Rectangles
Area of Triangles
Area of Parallelograms
SAT Solutions - Areas

Other Polygons
Angles in a Polygon
SAT Solutions - Polygons

Circles
Diameter, Radius, Arc
Tangent to a Circle
Circumference
Area
SAT Solutions - Circles I
SAT Solutions - Circles II

Solid Geometry
Solid Figures and Volumes
Prisms
Cylinders
Spheres
Cones
Pyramids
SAT Solutions - Volumes

Surface Area
Nets of 3-Dimensional Shapes
Surface Area of Cube
SAT Solutions - Surface Area
Geometric Perception

Coordinate Geometry
Slopes
Parallel Lines
Perpendicular Lines
The Midpoint Formula
The Distance Formula
SAT Solutions - Coordinate Geometry I
SAT Solutions - Coordinate Geometry II
SAT Solutions - Coordinate Geometry III

Transformations
Translations
Rotations
Reflections
Line of Symmetry
Point of Symmetry

Data Analysis, Statistics and Probability Review

Concepts that you need to know for the SAT

Data Interpretation
Circle Graphs (Pie Charts)
Line Graphs
Bar Graphs
Pictographs
Scatter Plots
SAT Solutions - Data Analysis

Statistics
Arithmetic Mean
Median
Mode and Multiple Modes
Weighted Average Average of Algebraic Expressions
Using Averages to find Missing Numbers
SAT Solutions - Mean, Median, Mode

Elementary Probability
Independent Events
Dependent Events
Independent and Dependent Events

Geometric Probability
Geometric Probability
SAT Solutions - Probability I
SAT Solutions - Probability II

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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SAT and PSAT Math

SAT Math Practice Tests for March 2016 and beyond

SAT Practice Test (CollegeBoard Preparation Booklet 2008-2014)

SAT Practice Tests from The Official SAT Study Guide (2nd Edition)

SAT Practice Tests from The Official SAT Study Guide (1st Edition)

Number and Operations Review

Logical Reasoning

Algebra and Functions Review

Geometry and Measurement Review

Data Analysis, Statistics and Probability Review