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.
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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 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
Official SAT Tests Questions & Solutions
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
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 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 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
SAT Math for March 2016 and beyond
Sample Questions & Step by Step Solutions illustrating the distinctive features of
the redesigned SAT’s Math Test from the College Board
The information and resources given below are for the old SAT (before March 2016).
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 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
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
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
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
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 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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