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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.

In this lesson, we will look at

  • 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.

Related Topics: 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.

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

PSAT Math Practice Test for Oct 2015 and beyond

Download PSAT Practice Test 1 (pdf)

The following are tips, video walkthroughs and solutions for the Official Redesigned PSAT/NMSQT Math Practice Test 1, Section 3, Calculator Not Permitted, from CollegeBoard.

The following are tips, video walkthroughs and solutions for the Official Redesigned PSAT/NMSQT Math Practice Test 1, Section 4, Calculator Permitted, from CollegeBoard.





SAT Math Practice Tests for March 2016 and beyond


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

Print out SAT Practice Test 1 (pdf), answer the Questions, score your answers (pdf) and then go through the following video walkthroughs for the answer explanations.

SAT Practice Test 1, Section 3, Math Test - No Calculator

SAT Practice Test 1, Section 4, Math Test - Calculator


Print out SAT Practice Test 2 (pdf), answer the Questions, score your answers (pdf) and then go through the following video walkthroughs for the answer explanations.

SAT Practice Test 2, Section 3, Math Test - No Calculator

SAT Practice Test 2, Section 4, Math Test - Calculator


Print out SAT Practice Test 3 (pdf), answer the Questions, score your answers (pdf) and then go through the following video walkthroughs for the answer explanations.

SAT Practice Test 3, Section 3, Math Test - No Calculator

SAT Practice Test 3, Section 4, Math Test - Calculator


Print out SAT Practice Test 4 (pdf), answer the Questions, score your answers (pdf) and then go through the following video walkthroughs for the answer explanations.

SAT Practice Test 4, Section 3, Math Test - No Calculator

SAT Practice Test 4, Section 4, Math Test - Calculator


Video Walkthroughs for sample Solutions illustrating the distinctive features of the redesigned SAT's Math Test from the College Board

Tips and Video Walkthroughs for Sample Solutions from Collegeboard
Video Walkthroughs for the New SAT Practice Test 1



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

PSAT

What is the PSAT? PSAT - Math Section
PSAT- Critical Reading Section PSAT - Writing Section

PSAT Math

Basics, Picking Numbers, Order of Operations, Odd/Even Prime Numbers, Factors, Multiples, Averages
Ratio, Probability, Variable, Quadratics, Quadratic Equations Pythagorean Theorem, Special Right Triangles
Angles, Circles, Tangents Equations, Functions

PSAT Critical Reading and Writing

PSAT Sentence Completion PSAT Critical Reading I
PSAT Critical Reading II PSAT Writing I
PSAT Writing II  

SAT

What is the SAT? ACT vs SAT
Planning Your Testing Calender College Admission
SAT Tips and Strategies I SAT Tips and Strategies II
Sample SAT math problems from the Princeton Review workbook Sample SAT math problems from the Princeton Review workbook
SAT Math Practice Guide Section 2 SAT Math Practice Guide Section 6
SAT Math Practice Guide Section 8 SAT Math Practice Test




SAT Practice Test (CollegeBoard Preparation Booklet 2013-2014)

Download Free Practice Test Solutions 2013-2014 Solutions for Section 2, Solutions 1 - 20

SAT Practice Test (CollegeBoard Preparation Booklet 2009-2010)

Download Free Practice Test Solutions 2009-2010 Solutions for Section 2, Solutions 1 - 16
Solutions for Section 2, Solutions 17 - 20  

SAT Practice Test (CollegeBoard Preparation Booklet 2008-2009)

Download Free Practice Test Solutions 2008 - 2009 Solutions for Section 2, Solutions 1 - 10
Solutions for Section 2, Solutions 11 - 20 Solutions for Section 6, Solutions 1 - 12
Solutions for Section 8, Solutions 1 - 8 Solutions for Section 8, Solutions 9 - 16

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

Practice Test #1 Section 3 Practice Test #1 Section 7
Practice Test #1 Section 8 Practice Test #2 Section 2
Practice Test #2 Section 5 Practice Test #2 Section 8
Practice Test #3 Section 2 Practice Test #3 Section 5
Practice Test #3 Section 8 Practice Test #4 Section 3
Practice Test #4 Section 6 Practice Test #4 Section 9
Practice Test #5 Section 2 Practice Test #5 Section 4
Practice Test #5 Section 8 Practice Test #6 Section 2
Practice Test #6 Section 4 Practice Test #6 Section 8
Practice Test #7 Section 3 Practice Test #7 Section 7
Practice Test #7 Section 9 Practice Test #8 Section 3
Practice Test #8 Section 7 Practice Test #8 Section 9
Practice Test #9 Section 2 Practice Test #9 Section 5
Practice Test #9 Section 8 Practice Test #10 Section 2
Practice Test #10 Section 5 Practice Test #10 Section 8
Practice Test #11 Section 3 Practice Test #11 Section 4
Practice Test #11 Section 8  

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

Practice Test #1 Practice Test #2
Practice Test #3 Practice Test #4
Practice Test #5 Practice Test #6
Practice Test #7 Practice Test #8

Number and Operations Review

Concepts that you need to know for the SAT

SAT Arithmetic Strategies
Properties of Integers

Even and Odd Numbers Operations on Even and Odd Numbers
Addition and Multiplication of Integers Consecutive Integers
Practice Test Solutions on Integers I Practice Test Solutions on Integers II
Practice Test Solutions on Even and Odd Integers Practice Test Solutions on Consecutive Integers

Arithmetic Word Problems

Arithmetic Word Problems I Arithmetic Word Problems II

Number Lines

Practice Test Solutions on Number Lines I Practice Test Solutions on Number Lines II

Squares and Square Roots

Squares and Square Roots Practice Test Solutions on Squares and Square Roots I
Practice Test Solutions on Squares and Square Roots II  

Fractions and Rational Numbers

Decimal Fractions Equivalents Reciprocals
Place Value (Digit Problems) Scientific Notations



 

Elementary Number Theory

Factors, Multiples, Prime Numbers and Remainders

Ratio Proportions and Percents

Ratios and Proportions I Ratios and Proportions II
Percents I Percents II

Sequences

Sequences I Sequences II

Sets

Sets (Union, Intersection, Elements) Venn Diagrams I
Venn Diagrams II Venn Diagrams Word Problems
SAT Solutions: Sets  

Counting Problems

Fundamental Counting Principle Permutations and Combinations

Logical Reasoning

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  

Direct Translation into Mathematical Expressions

Inequalities

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

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  

The SAT does not include:

Solving Quadratic Equations that require the use of the quadratic formula
Complex Numbers
Logarithms



 

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  

The SAT does not include Formal Geometric Proofs
Trigonometry
Radian Measure



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  

The SAT does not include
Computation of Standard Deviation



 

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

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