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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  


 

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  


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other 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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