SAT and PSAT Math

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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 Official Tests Questions & Answers

  October 2022 US Official SAT
  May 2022 Official SAT
  May 2022 Official International SAT
  April 2022 Official SAT
  March 2022 Official SAT
  
  October 2021 US Official SAT
  May 2021 US Official SAT
  May 2021 Official International SAT
  April 2021 Official SAT
  March 2021 Official SAT
  
  October 2020 Official SAT
  March 2020 Official SAT
  
  October 2019 Official SAT
  April 2019 Official SAT
  
  May 2018 Official SAT
  April 2018 Official SAT
  March 2018 Official SAT
  
  May 2017 Official SAT
  April 2017 Official SAT

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.

• SAT Practice Test 1, Sections 3 & 4

  SAT Practice Test 1 Questions (pdf)
  Answer Keys (pdf)
  
  SAT Practice Test 1, Section 3, Math Test - No Calculator
  Solutions 1 - 4
  Solutions 5 - 8
  Solutions 9 - 12
  Solutions 13 - 16
  Solutions 17 - 20
  
  SAT Practice Test 1, Section 4, Math Test - Calculator
  Solutions 1 - 4
  Solutions 5 - 8
  Solutions 9 - 12
  Solutions 13 - 16
  Solutions 17 - 20
  Solutions 21 - 24
  Solutions 25 - 28
  Solutions 29 - 32
  Solutions 33 - 36
  Solutions 37 - 38

• SAT Practice Test 2, Section 3 & 4

  SAT Practice Test 2 Questions (pdf)
  SAT Practice Test 2 Answer Key (pdf)
  
  SAT Practice Test 2, Section 3, Math Test Solutions
  SAT Practice Test 2, Section 4, Math Test Solutions

• SAT Practice Test 3, Section 3 & 4

  SAT Practice Test 3 (pdf)
  Answer Keys (pdf)
  
  SAT Practice Test 3, Section 3, Math Test Solutions
  SAT Practice Test 3, Section 4, Math Test Solutions

• SAT Practice Test 4, Section 3 & 4

  SAT Practice Test 4 (pdf)
  score your answers (pdf)
  
  SAT Practice Test 4, Section 3, Math Test Solutions
  SAT Practice Test 4, Section 4, Math Test Solutions

• SAT Practice Tests 5 - 10

  SAT Practice Test 5, Section 3, Math Test Solutions
  SAT Practice Test 5, Section 4, Math Test Solutions
  
  SAT Practice Test 6, Section 3, Math Test Solutions
  SAT Practice Test 6, Section 4, Math Test Solutions
  
  SAT Practice Test 7, Section 3, Math Test Solutions
  SAT Practice Test 7, Section 4, Math Test Solutions
  
  SAT Practice Test 8, Section 3, Math Test Solutions
  SAT Practice Test 8, Section 4, Math Test Solutions
  
  SAT Practice Test 9, Section 3, Math Test Solutions
  SAT Practice Test 9, Section 4, Math Test Solutions
  
  SAT Practice Test 10, Section 3, Math Test Solutions
  SAT Practice Test 10, Section 4, Math Test Solutions

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).

• 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 & 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 2008-2014)

• SAT Practice Test Preparation 2008-2014

  SAT Practice Test 2013-2014 Solutions for Section 2, Solutions 1 - 20
  
  Practice Test Solutions 2009-2010
  Solutions for Section 2, Solutions 1 - 16
  Solutions for Section 2, Solutions 17 - 20
  
  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)

• SAT Practice Tests (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)

• SAT Practice Tests (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

• Number & Operations

  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
  
  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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