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Math Tests with Answer Keys – Grade 1 to AP

Free 45-minute math tests out of 20 points with answer keys and scoring guides for every grade and course, aligned with the Common Core.

Elementary School

Grade 1

  1. Counting and Numbers to 20 · Answer key
  2. Counting to 120 · Answer key
  3. Tens and Ones · Answer key
  4. Comparing Two-Digit Numbers · Answer key
  5. Addition Within 20 · Answer key
  6. Subtraction Within 20 · Answer key
  7. The Equal Sign and Word Problems · Answer key
  8. Adding and Subtracting Tens Within 100 · Answer key
  9. Measuring Length · Answer key
  10. Telling Time to the Hour and Half Hour · Answer key
  11. Organizing and Reading Data · Answer key
  12. 2D and 3D Shapes · Answer key
  13. Halves and Fourths · Answer key

Grade 2

  1. Place Value to 1,000 · Answer key
  2. Skip Counting and Comparing Numbers · Answer key
  3. Fluency Within 20, Even and Odd Numbers · Answer key
  4. Adding Within 100 · Answer key
  5. Subtracting Within 100 · Answer key
  6. Adding and Subtracting Within 1,000 · Answer key
  7. One- and Two-Step Word Problems · Answer key
  8. Arrays and Equal Groups · Answer key
  9. Measuring Length · Answer key
  10. Telling Time to Five Minutes · Answer key
  11. Money: Dollars and Coins · Answer key
  12. Picture Graphs, Bar Graphs and Line Plots · Answer key
  13. Shapes and Equal Shares · Answer key

Grade 3

  1. Understanding Multiplication · Answer key
  2. Understanding Division · Answer key
  3. Properties of Multiplication · Answer key
  4. Multiplication and Division Facts Within 100 · Answer key
  5. Two-Step Word Problems and Patterns · Answer key
  6. Rounding to the Nearest 10 and 100 · Answer key
  7. Adding and Subtracting Within 1,000 · Answer key
  8. Multiplying by Multiples of 10 · Answer key
  9. Understanding Fractions · Answer key
  10. Equivalent and Comparing Fractions · Answer key
  11. Time, Liquid Volume and Mass · Answer key
  12. Scaled Graphs and Line Plots · Answer key
  13. Area · Answer key
  14. Perimeter · Answer key
  15. Quadrilaterals and Partitioning Shapes · Answer key

Grade 4

  1. Place Value to One Million · Answer key
  2. Rounding Multi-Digit Numbers · Answer key
  3. Adding and Subtracting Multi-Digit Numbers · Answer key
  4. Multi-Digit Multiplication · Answer key
  5. Division with Remainders · Answer key
  6. Multiplicative Comparison and Multi-Step Problems · Answer key
  7. Factors, Multiples, Primes and Composites · Answer key
  8. Number and Shape Patterns · Answer key
  9. Equivalent Fractions and Comparing Fractions · Answer key
  10. Adding and Subtracting Fractions and Mixed Numbers · Answer key
  11. Multiplying a Fraction by a Whole Number · Answer key
  12. Decimal Fractions and Decimal Notation · Answer key
  13. Measurement Conversions and Word Problems · Answer key
  14. Area and Perimeter of Rectangles · Answer key
  15. Line Plots with Fractions · Answer key
  16. Measuring and Adding Angles · Answer key
  17. Lines, Angles, Shapes and Symmetry · Answer key

Grade 5

  1. Numerical Expressions · Answer key
  2. Patterns and Relationships · Answer key
  3. Place Value and Powers of 10 · Answer key
  4. Reading, Comparing and Rounding Decimals · Answer key
  5. Multiplying Multi-Digit Whole Numbers · Answer key
  6. Dividing Whole Numbers · Answer key
  7. Operations with Decimals · Answer key
  8. Adding and Subtracting Fractions with Unlike Denominators · Answer key
  9. Multiplying Fractions · Answer key
  10. Dividing Unit Fractions and Whole Numbers · Answer key
  11. Converting Units and Line Plots · Answer key
  12. Volume of Rectangular Prisms · Answer key
  13. The Coordinate Plane · Answer key
  14. Classifying Two-Dimensional Figures · Answer key

Middle School

Grade 6

  1. Ratios and Ratio Language · Answer key
  2. Unit Rates · Answer key
  3. Percents · Answer key
  4. Converting Measurement Units · Answer key
  5. Dividing Fractions · Answer key
  6. Multi-Digit Division · Answer key
  7. Adding, Subtracting, Multiplying and Dividing Decimals · Answer key
  8. Greatest Common Factor and Least Common Multiple · Answer key
  9. Integers, Opposites and Absolute Value · Answer key
  10. The Coordinate Plane · Answer key
  11. Exponents and Order of Operations · Answer key
  12. Writing and Evaluating Algebraic Expressions · Answer key
  13. One-Step Equations · Answer key
  14. Writing and Graphing Inequalities · Answer key
  15. Dependent and Independent Variables · Answer key
  16. Area of Triangles, Quadrilaterals and Polygons · Answer key
  17. Volume of Rectangular Prisms · Answer key
  18. Surface Area and Nets · Answer key
  19. Statistical Questions and Data Displays · Answer key
  20. Mean, Median, Range, IQR and Mean Absolute Deviation · Answer key

Grade 7

  1. Unit Rates with Fractions · Answer key
  2. Proportional Relationships · Answer key
  3. Adding and Subtracting Integers and Rational Numbers · Answer key
  4. Multiplying and Dividing Integers and Rational Numbers · Answer key
  5. Two-Step Inequalities · Answer key
  6. Scale Drawings · Answer key
  7. Angle Relationships · Answer key
  8. Area, Surface Area and Volume of Prisms · Answer key
  9. Equations of Proportional Relationships · Answer key
  10. Percent Problems: Tax, Tips, Markups and Discounts · Answer key
  11. Percent Increase, Percent Decrease and Percent Error · Answer key
  12. Rational Numbers: Decimals, Fractions and Word Problems · Answer key
  13. Equivalent Expressions · Answer key
  14. Two-Step Equations · Answer key
  15. Drawing Geometric Figures and Constructing Triangles · Answer key
  16. Circumference and Area of Circles · Answer key
  17. Random Sampling and Making Inferences · Answer key
  18. Comparing Two Populations · Answer key
  19. Probability of Compound Events · Answer key
  20. Cross Sections of 3D Figures · Answer key
  21. Probability and Probability Models · Answer key

Grade 8

  1. Rational and Irrational Numbers · Answer key
  2. Properties of Integer Exponents · Answer key
  3. Square Roots and Cube Roots · Answer key
  4. Scientific Notation · Answer key
  5. Proportional Relationships and Slope · Answer key
  6. Solving Linear Equations · Answer key
  7. Systems of Linear Equations · Answer key
  8. Introduction to Functions · Answer key
  9. Linear Functions and Modeling · Answer key
  10. Translations, Reflections and Rotations · Answer key
  11. Congruence, Dilations and Similarity · Answer key
  12. Angles, Parallel Lines and Triangles · Answer key
  13. The Pythagorean Theorem · Answer key
  14. Distance in the Coordinate Plane · Answer key
  15. Volume of Cylinders, Cones and Spheres · Answer key
  16. Scatter Plots and Association · Answer key
  17. Lines of Best Fit and Linear Models · Answer key
  18. Two-Way Tables · Answer key

High School

Algebra 1

  1. Units, Quantities and Modeling · Answer key
  2. Interpreting Expressions and Real Numbers · Answer key
  3. Linear Equations and Literal Equations · Answer key
  4. Linear and Compound Inequalities · Answer key
  5. Functions, Domain, Range and Function Notation · Answer key
  6. Key Features of Graphs and Rate of Change · Answer key
  7. Linear Functions: Slope-Intercept, Point-Slope and Standard Form · Answer key
  8. Arithmetic and Geometric Sequences · Answer key
  9. Systems of Linear Equations · Answer key
  10. Graphing Linear Inequalities and Systems of Inequalities · Answer key
  11. Exponent Rules, Radicals and Rational Exponents · Answer key
  12. Exponential Growth and Decay · Answer key
  13. Adding, Subtracting and Multiplying Polynomials · Answer key
  14. Factoring Polynomials · Answer key
  15. Graphing Quadratic Functions · Answer key
  16. Solving Quadratic Equations · Answer key
  17. Transformations, Absolute Value and Piecewise Functions · Answer key
  18. Statistics: Center, Spread and Data Displays · Answer key
  19. Two-Way Tables, Scatter Plots and Correlation · Answer key
  20. Building Functions and Inverses · Answer key
  21. Graphs as Solution Sets, Linear-Quadratic Systems and Exponential Expressions · Answer key

Geometry

  1. Points, Lines, Planes, Segments and Angles · Answer key
  2. Logic and Two-Column Proofs · Answer key
  3. Parallel Lines, Transversals and Proofs · Answer key
  4. Rigid Transformations · Answer key
  5. Congruent Triangles: SSS, SAS, ASA, AAS and HL · Answer key
  6. Triangle Theorems and Points of Concurrency · Answer key
  7. Parallelograms and Special Quadrilaterals · Answer key
  8. Geometric Constructions · Answer key
  9. Dilations and Similarity Transformations · Answer key
  10. Similar Triangles and Proportions · Answer key
  11. Right Triangle Trigonometry · Answer key
  12. Law of Sines, Law of Cosines and Triangle Area · Answer key
  13. Coordinate Geometry Proofs · Answer key
  14. Circles: Chords, Arcs and Inscribed Angles · Answer key
  15. Arc Length, Sector Area and Radians · Answer key
  16. Equation of a Circle · Answer key
  17. Area and Volume Formulas · Answer key
  18. Cross Sections, Solids of Rotation and Geometric Modeling · Answer key
  19. Probability: Independence, Conditional Probability and Fair Decisions · Answer key
  20. Parabolas from Focus and Directrix, and Tangent Lines to a Circle · Answer key

Algebra 2

  1. Real and Complex Numbers · Answer key
  2. Quadratic Equations with Complex Solutions · Answer key
  3. Radicals and Rational Exponents · Answer key
  4. Polynomial Functions and Their Graphs · Answer key
  5. Polynomial Division and the Remainder Theorem · Answer key
  6. Rational Expressions and Equations · Answer key
  7. Rational Functions and Their Graphs · Answer key
  8. Transformations of Functions · Answer key
  9. Function Operations, Composition and Inverses · Answer key
  10. Exponential Functions and the Number e · Answer key
  11. Logarithms and Logarithmic Functions · Answer key
  12. Solving Exponential and Logarithmic Equations · Answer key
  13. Sequences and Series · Answer key
  14. Radians and the Unit Circle · Answer key
  15. Graphs of Trigonometric Functions · Answer key
  16. Probability: Sample Spaces, Independence and Conditional Probability · Answer key
  17. Data, Normal Distributions and Statistical Inference · Answer key
  18. Structure of Expressions and Modeling with Equations · Answer key
  19. Interpreting and Comparing Functions · Answer key
  20. Statistical Experiments, Simulation and Decisions · Answer key

Precalculus

  1. Functions: Domain, Range, Composition and Inverses · Answer key
  2. Polynomial and Rational Functions in Depth · Answer key
  3. Exponential and Logarithmic Functions and Models · Answer key
  4. Angles, Radians and the Unit Circle · Answer key
  5. Graphs of Trigonometric Functions · Answer key
  6. Inverse Trigonometric Functions and Trigonometric Equations · Answer key
  7. Trigonometric Identities · Answer key
  8. Laws of Sines and Cosines and Triangle Area · Answer key
  9. Vectors in the Plane · Answer key
  10. Complex Numbers in Polar Form · Answer key
  11. Polar Coordinates and Parametric Equations · Answer key
  12. Matrices and Matrix Operations · Answer key
  13. Solving Systems with Matrices · Answer key
  14. Conic Sections: Parabolas, Ellipses and Hyperbolas · Answer key
  15. Series, Binomial Theorem and an Introduction to Limits · Answer key
  16. Counting, Permutations, Combinations and Probability · Answer key
  17. Expected Value and Decisions · Answer key
  18. Complex Factorization and Volume of a Sphere · Answer key

AP Courses

AP Calculus AB

  1. Limits and Continuity · Answer key
  2. Definition of the Derivative and Basic Rules · Answer key
  3. Chain Rule, Implicit Differentiation and Inverse Functions · Answer key
  4. Derivatives in Context: Motion and Related Rates · Answer key
  5. Analyzing Functions with Derivatives · Answer key
  6. Integration and Accumulation of Change · Answer key
  7. Differential Equations · Answer key
  8. Applications of Integration · Answer key

AP Statistics

  1. Exploring One-Variable Data · Answer key
  2. Collecting Data: Sampling and Experiments · Answer key
  3. Probability and Random Variables · Answer key
  4. Binomial and Normal Distributions · Answer key
  5. Sampling Distributions · Answer key
  6. Inference for Proportions · Answer key
  7. Chi-Square Tests for Homogeneity and Independence · Answer key
  8. Inference for Means · Answer key
  9. Regression Analysis · Answer key
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