Math Worksheets
Free Math Worksheets
Math worksheets covering arithmetic, fractions, algebra, geometry, and more for grades K through 12. Each worksheet includes a student version and a full answer key.
2D Shapes: Sides and Corners
Counting sides and corners of flat shapes
15 problems
Adding 10 to Any Number
Practice counting on by ten
15 problems
Adding and Subtracting on a Number Line 0 to 10
Use hops to add and subtract within 10
15 problems
Adding Three Small Numbers
Practice adding 3 numbers with sums up to 20
15 problems
Adding Two Small Groups to 5
Practice adding groups with totals up to 5
15 problems
Addition Sentences with Pictures to 10
Use pictures to add numbers up to 10
15 problems
Addition Within 20
Practice adding numbers up to 20
12 problems
Capacity: Full, Half-Full, and Empty
Identifying how much a container holds
15 problems
Comparing Length: Longer and Shorter
Practice comparing objects by length
15 problems
Comparing Numbers Using Less Than, Greater Than, and Equal
Practice using <, >, and = with small numbers
15 problems
Comparing Two-Digit Numbers
Use tens and ones to decide which number is greater, less, or equal
15 problems
Comparing Weight: Heavier and Lighter
Practice using weight words to compare objects
15 problems
Counting by 10s to 100
Practice skip counting by tens
12 problems
Counting by 2s to 20
Skip count with pairs and even numbers
15 problems
Counting by 5s to 50
Practice skip counting with fives
15 problems
Counting Objects from 11 to 20
Practice counting groups with 11 through 20 objects
15 problems
Counting Objects: How Many Are There? (0-5)
Practice counting groups with 0, 1, 2, 3, 4, and 5 objects
15 problems
Counting Objects: How Many Are There? (6-10)
Practice counting groups of 6 to 10 objects
15 problems
Counting to 20
Practice counting numbers from 1 to 20
15 problems
Days of the Week and Months of the Year
Practice calendar order, before, after, and counting time
15 problems
Doubling Small Numbers: 1+1, 2+2, 3+3
Practice adding the same small number twice
15 problems
Equal Shares: Halves and Fourths
Practice splitting shapes and groups into equal parts
15 problems
Fact Families: Addition and Subtraction Partners
Use the same numbers to make addition and subtraction facts
15 problems
Greater Than, Less Than, Equal To
Comparing numbers and groups
12 problems
Identifying and Extending AB and ABB Patterns
Practice finding what comes next in repeating patterns
15 problems
Identifying Coins: Penny, Nickel, Dime, Quarter
Learn the names and values of common U.S. coins
15 problems
Inside and Outside Geometry Position Words
Practice using inside and outside with simple shapes
15 problems
Making and Reading a Tally Chart
Count tally marks and use them to show data
15 problems
Math: 2D and 3D Shapes
Recognizing flat and solid shapes
12 problems
Math: 3D Shapes Sphere Cube Cone and Cylinder
Identify and describe simple solid shapes
15 problems
Math: Counting and Using Money
Recognizing coins and counting simple amounts
12 problems
Math: Counting Coins to 25 Cents
Practice counting pennies, nickels, dimes, and quarters
15 problems
Math: Creating and Extending Number Patterns
Practice counting forward and finding what comes next
15 problems
Math: Hot and Cold Reading a Thermometer
Practice reading temperatures and comparing hot and cold
15 problems
Math: Measuring Length with Non-Standard Units
Use everyday objects to compare and measure length
15 problems
Math: More Less and Equal
Comparing groups using more, less, and equal
15 problems
Math: Number Patterns
Finding and completing simple patterns
15 problems
Math: Ordinal Numbers
Using words like first, second, and third
12 problems
Math: Reading and Making Pictographs
Read picture symbols and create simple pictographs
15 problems
Math: Shapes and Attributes
Identifying 2D and 3D shapes by their features
15 problems
Math: Sorting by Color Shape and Size
Practice grouping objects by what is the same
15 problems
Math: Subtraction Within 20
Practice subtracting numbers up to 20
12 problems
Math: Which Has More? Comparing Sets
Practice counting and comparing groups
15 problems
Math: Word Problems Adding at the Store
Practice adding small numbers in store stories
15 problems
Math: Word Problems Subtracting at the Farm
Practice taking away with farm story problems
15 problems
Measuring with Cubes and Blocks
Use equal-size cubes to measure length
15 problems
Missing Numbers: Fill in the Blank
Practice counting forward and finding numbers that come next
15 problems
More Than and Less Than: Comparing Groups
Count groups and decide which has more or less
15 problems
My Favorite: Collecting and Showing Data
Practice asking questions, counting answers, and making simple graphs
15 problems
Number Bonds to 10
Practice making pairs that add to 10
15 problems
Number Bonds to 5
Find the two parts that make 5
15 problems
Number Order: What Comes Before and After?
Practice finding numbers before, after, and between
15 problems
Number Patterns: What Number Is Missing?
Practice finding missing numbers in counting patterns
15 problems
Position Words: Above, Below, Left, and Right
Practice finding where things are
15 problems
Putting Numbers in Order from Least to Greatest
Practice ordering numbers from smallest to biggest
15 problems
Reading a Calendar
Practice days, dates, weeks, and months
15 problems
Subtracting from a Small Group within 5
Take away and count what is left
15 problems
Subtraction Sentences with Pictures within 10
Use pictures to write and solve subtraction sentences
15 problems
Tens and Ones: Building Two-Digit Numbers
Build, count, and write two-digit numbers
15 problems
True or False: Is the Number Sentence Correct?
Checking simple addition and subtraction sentences
15 problems
Word Problems Adding and Subtracting to 10
Solve simple story problems with numbers up to 10
15 problems
Writing Numbers 1 to 10
Practice counting, tracing, and writing numbers
15 problems
Writing Numbers 11 to 20
Practice reading, counting, and writing teen numbers
15 problems
Zero: The Empty Number
Counting, writing, and understanding 0
15 problems
Adding 3-Digit Numbers with Regrouping
Practice adding hundreds, tens, and ones
15 problems
Adding 3-Digit Numbers without Regrouping
Add hundreds, tens, and ones without carrying
15 problems
Adding and Subtracting Mentally
Use friendly numbers, doubles, and place value to solve in your head
15 problems
Addition & Subtraction with Regrouping
Practice two- and three-digit addition and subtraction with carrying and borrowing.
8 problems
Addition within 100
Practice adding two-digit and one-digit numbers
15 problems
Area: Counting Square Units
Find area by counting equal square units
15 problems
Arrays: Rows and Columns in Multiplication
Use rows and columns to write multiplication facts
15 problems
Capacity: Cups, Pints, Quarts, and Gallons
Practice measuring liquid volume with common units
15 problems
Collecting and Organizing Data
Using tally charts, tables, pictographs, and bar graphs
15 problems
Comparing and Ordering 2-Digit Numbers
Use place value and number order to compare numbers
12 problems
Comparing and Ordering 3-Digit Numbers
Use place value to compare, order, and explain numbers
15 problems
Comparing Fractions with the Same Denominator
Use numerators to decide which fraction is greater
15 problems
Division as Sharing Equally
Making equal groups and finding how many are in each group
15 problems
Division Using Multiplication Facts
Use related multiplication facts to solve division problems
15 problems
Doubles and Near Doubles in Addition
Use facts you know to add numbers that are close
15 problems
Elapsed Time: Hours and Minutes
Finding how much time has passed
15 problems
Estimating Sums and Differences
Rounding to the nearest ten to make quick estimates
15 problems
Even and Odd Numbers
Sorting numbers by pairs and ones digits
15 problems
FL FAST 2nd Grade Math Practice Test
40-question practice test aligned to Florida BEST standards
40 problems
FL FAST 2nd Grade Math Practice Test 2
Second grade practice with numbers, operations, measurement, data, and geometry
40 problems
FL FAST 2nd Grade Math Practice Test 3
Second grade practice with place value, operations, measurement, data, and geometry
40 problems
FL FAST 3rd Grade Math Practice Test 1
Practice with operations, place value, fractions, measurement, geometry, and data
40 problems
FL FAST 3rd Grade Math Practice Test 1
Practice with operations, place value, fractions, measurement, geometry, and data
40 problems
Fractions in Real Life: Pizza Pie and Sharing
Using pizza and sharing to understand equal parts
15 problems
Geometry: Faces, Edges, and Vertices of 3D Shapes
Counting flat faces, straight edges, and corners
15 problems
Greater Than, Less Than, Equal To: 3-Digit Numbers
Compare 3-digit numbers using place value
15 problems
Introduction to Area: Tiling Shapes
Covering shapes with equal square units
15 problems
Length: Feet, Inches, and Yards
Measuring and comparing customary units of length
15 problems
Math: Creating a Bar Graph from a Data Table
Turn data tables into clear bar graphs
15 problems
Math: FL FAST 2nd Grade Math Practice Test 2
Second grade practice with numbers, operations, measurement, data, and geometry
40 problems
Math: FL FAST 2nd Grade Math Practice Test 3
Second grade practice with place value, operations, measurement, data, and geometry
40 problems
Math: FL FAST 3rd Grade Math Practice Test 2
Mixed practice with multiplication, division, fractions, measurement, geometry, and data
40 problems
Math: FL FAST 3rd Grade Math Practice Test 2
Mixed practice with multiplication, division, fractions, measurement, geometry, and data
40 problems
Math: FL FAST 3rd Grade Math Practice Test 3
Mixed third-grade math practice for numbers, operations, fractions, measurement, geometry, and data
40 problems
Math: FL FAST 3rd Grade Math Practice Test 3
Mixed third-grade math practice for numbers, operations, fractions, measurement, geometry, and data
40 problems
Math: Fractions Numerator and Denominator
Name the top and bottom numbers in simple fractions
15 problems
Math: Function Tables Input and Output
Find the rule and complete the table
15 problems
Math: Line Plots and Dot Plots
Organizing and reading data with Xs and dots
15 problems
Math: Lines of Symmetry
Finding matching halves in shapes and pictures
15 problems
Math: Measuring Length
Using standard units to measure and compare objects
15 problems
Math: Number Lines and Skip Counting
Using number lines to count forward and backward by equal steps
12 problems
Math: Subtraction within 100
Practice subtracting two-digit numbers within 100
15 problems
Math: Telling Time to the Minute
Reading clocks and writing times to the nearest minute
15 problems
Measuring Capacity: Liters and Milliliters
Practice choosing units, reading amounts, and solving capacity problems
15 problems
Measuring Length: Inches and Centimeters
Practice choosing units, reading rulers, and comparing lengths
15 problems
Measuring Mass: Grams and Kilograms
Choosing units, comparing masses, and solving simple mass problems
15 problems
Measuring Perimeter with a Ruler
Use a ruler to measure sides and add them to find perimeter
15 problems
Mixed Operations: Addition, Subtraction, and Multiplication
Practice choosing the right operation and solving carefully
15 problems
Money Counting: Mixed Coins and Bills
Practice adding dollars and cents with coins and bills
15 problems
Money: Making Change from One Dollar
Practice subtracting prices from $1.00
15 problems
Multiplication as Equal Groups
Use groups, arrays, and repeated addition to multiply
15 problems
Multiplication on a Number Line
Use equal jumps to show multiplication facts
15 problems
Multiplication Tables 1-5
Practice facts from the 1, 2, 3, 4, and 5 times tables
15 problems
Multiplication Tables: 3s and 4s
Practice multiplying by 3 and 4
15 problems
Multiplication Tables: 6s, 7s, and 8s
Practice facts, equal groups, and simple word problems
15 problems
Number Bonds to 20
Finding parts that make a whole number up to 20
15 problems
Number Patterns and Rules
Find, describe, and continue number patterns
15 problems
Patterns with Shapes and Colors
Find, describe, and continue repeating patterns
15 problems
Perimeter of Simple Shapes
Adding side lengths to find the distance around
15 problems
Place Value Hundreds Tens Ones
Reading and building 3-digit numbers
15 problems
Place Value Patterns: 10 More, 10 Less
Using place value to add or subtract 10
15 problems
Place Value to Thousands
Read, write, and understand numbers up to 9,999
12 problems
Problem Solving: Draw a Picture Strategy
Use simple drawings to solve word problems
15 problems
Quadrilaterals: Squares, Rectangles, Rhombuses, and Trapezoids
Identify and describe four-sided shapes
15 problems
Reading and Drawing Bar Models for Word Problems
Use part-whole and comparison bars to solve story problems
12 problems
Reading and Interpreting Data Tables
Use tables to find, compare, and explain information
15 problems
Reading Bar Graphs
Use bar graphs to compare, count, and answer questions
15 problems
Roman Numerals I to XII
Reading and writing numbers 1 through 12 with Roman numerals
15 problems
Rounding Numbers to the Nearest Ten
Use ones digits and number lines to round
15 problems
Rounding to the Nearest 10 and 100
Practice rounding 2-digit and 3-digit numbers
15 problems
Skip Counting by 2s 5s and 10s
Practice counting patterns with 2, 5, and 10
15 problems
Subtracting 3-Digit Numbers with Regrouping
Practice borrowing across ones, tens, and hundreds
15 problems
Subtracting 3-Digit Numbers without Regrouping
Practice subtracting hundreds, tens, and ones
15 problems
Telling Time to Five Minutes
Read and write times on analog and digital clocks
15 problems
Telling Time: Hour and Half Hour
Reading clocks to the hour and half hour
12 problems
Types of Angles: Right, Acute, and Obtuse
Identify angles by comparing them to a square corner
15 problems
Types of Lines: Parallel, Perpendicular, and Intersecting
Identify and describe lines by how they meet
15 problems
Unit Fractions: 1/2, 1/3, 1/4, 1/6, and 1/8
Naming one equal part of a whole
15 problems
Word Problems: Multiplication and Division
Solve equal groups and sharing problems
15 problems
Word Problems: Two-Step Addition and Subtraction
Solve story problems with two steps
15 problems
Writing Numbers in Expanded Form
Practice showing the value of each digit
15 problems
Adding and Subtracting Decimals
Practice lining up decimal points and finding sums and differences
15 problems
Adding and Subtracting Fractions
Practice finding sums and differences of fractions
15 problems
Adding and Subtracting Mixed Numbers
Practice combining whole numbers and fractions
15 problems
Angles and Triangles
Classifying angles and identifying triangle types
15 problems
Area and Perimeter of Rectangles
Finding space inside and distance around rectangles
15 problems
Basic Probability: Likely and Unlikely
Compare chances using everyday events and simple models
15 problems
Classifying Triangles and Quadrilaterals
Identify shapes by sides, angles, and parallel lines
15 problems
Comparing Fractions with Unlike Denominators
Use common denominators, benchmarks, and reasoning to compare fractions
12 problems
Coordinate Plane: Plotting Points in Quadrant I
Practice reading and plotting ordered pairs
15 problems
Decimals: Tenths and Hundredths
Reading, writing, and comparing decimals
15 problems
Division with Remainders
Solving division problems when numbers do not divide evenly
15 problems
Equivalent Fractions: Finding Equal Parts
Use equal parts to name fractions with the same value
15 problems
Estimating with Compatible Numbers
Use friendly numbers to estimate sums, differences, products, and quotients
12 problems
FL FAST 4th Grade Math Practice Test 1
Practice with grade 4 operations, fractions, measurement, data, and geometry
40 problems
FL FAST 4th Grade Math Practice Test 1
Practice with grade 4 operations, fractions, measurement, data, and geometry
40 problems
FL FAST 4th Grade Math Practice Test 2
Mixed review of 4th grade math skills
41 problems
FL FAST 4th Grade Math Practice Test 2
Mixed review of 4th grade math skills
41 problems
FL FAST 4th Grade Math Practice Test 3
Mixed practice with operations, fractions, decimals, measurement, geometry, and data
40 problems
FL FAST 4th Grade Math Practice Test 3
Mixed practice with operations, fractions, decimals, measurement, geometry, and data
40 problems
Fractions on a Number Line
Place, name, and compare fractions using equal intervals
12 problems
Fractions: Parts of a Whole
Identify, compare, and simplify fractions using visual models and number lines.
8 problems
Geometry: Classifying Polygons
Identify and sort polygons by sides, angles, and properties
15 problems
Line Graphs: Reading and Interpreting Trends
Practice reading values, changes, and patterns on line graphs
15 problems
Long Division: 3-Digit Dividends
Divide 3-digit numbers by 1-digit divisors
12 problems
Long Division: Single and Double Digit
Practice dividing by one-digit and two-digit numbers
15 problems
Math: Area and Perimeter
Finding the space inside and the distance around shapes
15 problems
Math: Comparing and Ordering Decimals to Hundredths
Use place value to compare decimals and put them in order
15 problems
Math: Dividing Larger Numbers 4-Digit Dividends
Practice long division with 4-digit dividends
15 problems
Math: Equivalent Fractions
Finding and comparing fractions with the same value
15 problems
Math: FL FAST 5th Grade Math Practice Test 1
Practice for key 5th grade math skills
40 problems
Math: FL FAST 5th Grade Math Practice Test 1
Practice for key 5th grade math skills
40 problems
Math: FL FAST 5th Grade Math Practice Test 2
Mixed 5th grade math review for Florida FAST practice
41 problems
Math: FL FAST 5th Grade Math Practice Test 2
Mixed 5th grade math review for Florida FAST practice
41 problems
Math: FL FAST 5th Grade Math Practice Test 3
Mixed practice with decimals, fractions, geometry, data, and word problems
40 problems
Math: FL FAST 5th Grade Math Practice Test 3
Mixed practice with decimals, fractions, geometry, data, and word problems
40 problems
Math: Introduction to Percentages - What Is a Percent?
Understanding percent as parts out of 100
15 problems
Math: Order of Operations
Using the correct steps to solve expressions
15 problems
Math: Prime Factorization Trees
Breaking composite numbers into prime factors
12 problems
Math: Properties of Triangles Angles and Side Lengths
Classify triangles and use angle and side length rules
15 problems
Math: Simplifying Fractions to Lowest Terms
Use common factors to write equivalent fractions
15 problems
Math: Symmetry and Congruence
Identify line symmetry and compare congruent shapes
12 problems
Math: Word Problems Multi-Step with Fractions and Decimals
Solving real-world problems in more than one step
15 problems
Mean, Median, Mode from Tables
Finding averages and common values in data tables
15 problems
Mixed Numbers and Improper Fractions
Converting between whole-number fractions and mixed numbers
15 problems
Multiples, Factors, and Prime Numbers
Finding patterns in numbers
15 problems
Multiplication and Division Fact Families
Using related facts to solve multiplication and division problems
15 problems
Multiplication: 2-Digit by 2-Digit
Practice multiplying two-digit numbers using place value
12 problems
Multiplying Fractions by Whole Numbers
Use repeated addition, models, and simplification
15 problems
Multiplying Large Numbers: 3-Digit by 2-Digit
Practice using partial products and standard multiplication
15 problems
Numerical Patterns and Algebraic Rules
Finding rules, extending patterns, and using variables
15 problems
Powers of 10: Multiplying and Dividing
Move digits by place value to multiply and divide
15 problems
Reading Pie Charts and Circle Graphs
Interpreting parts of a whole using fractions and percents
15 problems
Volume: Counting Cubic Units
Find volume by counting and multiplying cubic units
15 problems
Word Problems: Mixed Operations
Apply addition, subtraction, multiplication, and division to real-world scenarios.
8 problems
Absolute Value and the Number Line
Understanding distance from zero and comparing values
15 problems
Absolute Value Equations and Inequalities
Solving equations and graphing solution sets with absolute value
15 problems
Angle Relationships: Complementary and Supplementary
Finding missing angles that add to 90 degrees or 180 degrees
12 problems
Cryptography: Caesar and Vigenere Ciphers
Encoding and decoding messages with alphabet shifts
12 problems
Decimal Operations: Addition, Subtraction, Multiplication
Practice adding, subtracting, and multiplying decimals
12 problems
Equivalent Fractions (Part 1)
Finding and explaining fractions with the same value
15 problems
Geometric Transformations: Translations, Rotations, and Reflections
Describe and apply basic transformations on the coordinate plane
15 problems
Integer Operations: Adding and Subtracting Negative Numbers
Practice with positive and negative numbers
15 problems
Integers and Absolute Value
Comparing, ordering, and finding distance from zero
15 problems
Introduction to Graph Theory: Nodes and Edges
Modeling connections with points and lines
10 problems
Math: Box Plots and Data Analysis
Reading quartiles, medians, and spread in data
15 problems
Math: Circles: Radius, Diameter, Circumference
Find and use circle measurements with pi
15 problems
Math: Equivalent Fractions (Part 2)
Using multiplication, division, and reasoning to write equivalent fractions
15 problems
Math: Expressions and Equations
Writing, simplifying, and solving algebraic statements
15 problems
Math: Functions
Identifying, evaluating, and representing functions
15 problems
Math: Linear Equations (Middle School)
Solving, graphing, and writing linear equations
15 problems
Math: Number Theory: GCD, LCM, and Modular Arithmetic
Finding common factors, common multiples, and remainders
12 problems
Math: Percent Increase and Decrease
Finding percent change in real-world situations
15 problems
Math: Percent of a Number
Finding a part of a whole using percents
15 problems
Math: Scientific Notation
Writing very large and very small numbers with powers of 10
15 problems
Math: Similar and Congruent Figures
Comparing shape, size, and scale
15 problems
Math: Square Roots and Cube Roots
Finding roots and connecting them to powers
12 problems
Math: The Coordinate Plane and Graphing Points
Reading ordered pairs and locating points on a grid
15 problems
Math: The Pythagorean Theorem
Using a squared plus b squared equals c squared to find side lengths
15 problems
Math: Volume and Surface Area
Finding space inside and outside 3D figures
15 problems
Mean Median Mode and Range
Finding and comparing measures of center and spread
15 problems
Multi-Step Word Problems with Mixed Operations
Solving real-world problems using several operations
12 problems
Multiplying and Dividing Decimals
Practice computing with decimal factors and quotients
15 problems
Multiplying and Dividing Fractions
Practice finding products and quotients of fractions
15 problems
Multiplying and Dividing Integers
Using sign rules to find products and quotients
15 problems
Percent Discount and Tax
Finding sale prices, tax amounts, and total costs
15 problems
Properties of Exponents
Using exponent rules to simplify expressions
15 problems
Rates and Unit Rates
Comparing quantities and finding cost, speed, and other rates per 1 unit
12 problems
Rational Numbers: Fractions, Decimals, and Percents
Convert, compare, and solve real-world problems with rational numbers
15 problems
Ratios & Proportions
Set up and solve proportions, unit rates, and percent problems.
8 problems
Ratios and Proportional Relationships
Using ratios, unit rates, tables, graphs, and proportions
15 problems
Scale Drawings and Map Distance
Use scales to find real distances and drawing lengths
12 problems
Simple and Compound Interest
Calculating interest, balances, rates, and time
15 problems
Slope and Rate of Change
Finding and interpreting how quantities change
15 problems
Solving and Graphing Inequalities
Use inverse operations and number lines to represent solution sets
15 problems
Solving One-Step Equations
Use inverse operations to find the unknown
15 problems
Solving Two-Step Equations
Use inverse operations to find the unknown value
15 problems
Statistics and Descriptive Data
Analyzing data with mean, median, mode, range, and displays
15 problems
Stem-and-Leaf Plots and Box Plots
Displaying and comparing data distributions
15 problems
Surface Area of 3D Figures
Finding the total area of the outside of solid shapes
15 problems
Surface Area of Rectangular Prisms
Finding the total area of all faces of a box-shaped solid
15 problems
Theoretical vs Experimental Probability
Compare expected chances with real results
15 problems
Transformations: Translations, Rotations, Reflections
Describe and apply movements on the coordinate plane
15 problems
Two-Variable Data: Tables, Graphs, and Patterns
Represent and interpret relationships between two quantities
15 problems
Word Problems: Rates, Time, and Distance
Use rate, time, and distance to solve real-world problems
15 problems
Calculus: Applications of Derivatives: Optimization
Using derivatives to maximize and minimize quantities
15 problems
Calculus: Applications of Integration: Area Between Curves
Set up and evaluate definite integrals to find enclosed area
15 problems
Calculus: Derivative Rules: Power, Chain, Product, Quotient
Practice finding derivatives with the main differentiation rules
15 problems
Calculus: Evaluating Limits Algebraically
Using substitution, factoring, rationalizing, and limit laws
15 problems
Calculus: Riemann Sums and the Definite Integral
Approximating area and connecting sums to integrals
15 problems
Circle Theorems and Arc Length
Using angles, chords, tangents, and arc measures in circles
15 problems
Conditional and Independent Probability
Finding probabilities with dependent and independent events
15 problems
Conic Sections: Circles and Ellipses
Writing equations and analyzing key features
15 problems
Coordinate Geometry: Distance and Midpoint
Finding lengths and middle points on the coordinate plane
12 problems
Derivatives and Differentiation Rules
Applying basic rules to find rates of change
15 problems
Determinants and Cramer's Rule
Solving linear systems with matrices
12 problems
Exponential Functions and Growth
Modeling patterns of repeated multiplication
15 problems
Factoring Polynomials
Factoring expressions using common factors, trinomials, and special patterns
15 problems
Geometry: Transformations
Translations, reflections, rotations, dilations, and composition of transformations
15 problems
Graphing Linear and Systems of Equations
Plot lines, identify slope, and solve systems by graphing
15 problems
Integration and the Fundamental Theorem of Calculus
Finding antiderivatives and evaluating definite integrals
15 problems
Integration by Parts and Substitution
Choosing and applying two core integration techniques
12 problems
Introduction to Proof: Direct and Indirect
Writing logical arguments using direct proof and proof by contradiction
12 problems
Inverse Functions and Compositions
Finding inverses and evaluating composed functions
12 problems
Law of Sines and Cosines
Solving oblique triangles with side and angle relationships
15 problems
Linear Equations
Solve one- and two-step equations, graph lines, and interpret slope and intercept.
8 problems
Linear Programming and Optimization
Model constraints, find feasible regions, and optimize objective functions
12 problems
Math: Completing the Square
Rewrite quadratic expressions and solve quadratic equations
15 problems
Math: Complex Numbers and the Imaginary Unit
Working with i, simplifying powers, and performing operations with complex numbers
15 problems
Math: Conic Sections: Hyperbolas and Parabolas
Graphing, standard forms, foci, directrices, and asymptotes
12 problems
Math: Domain, Range, and Graphs of Functions
Finding domain and range from equations, graphs, and tables
15 problems
Math: Eigenvalues and Eigenvectors
Finding special directions and scale factors for matrices
10 problems
Math: Euler's Method for Differential Equations
Approximating solutions to differential equations step by step
10 problems
Math: First-Order Linear Differential Equations
Solving linear differential equations with integrating factors
12 problems
Math: Hyperbolic Functions and Their Inverses
Using definitions, identities, graphs, and inverse functions
12 problems
Math: Improper Integrals and Convergence Tests
Evaluating improper integrals and deciding convergence
12 problems
Math: Limits and Continuity
Evaluating limits and identifying continuity
15 problems
Math: Logarithms and Exponential Equations
Using logarithms to rewrite, evaluate, and solve exponential relationships
15 problems
Math: Logic and Truth Tables
Evaluating statements with logical operators
15 problems
Math: Parametric Equations and Polar Coordinates
Connecting parametric forms, polar forms, and Cartesian graphs
15 problems
Math: Partial Fractions and Integration
Decompose rational functions and use them to evaluate integrals
12 problems
Math: Pascal's Triangle and the Binomial Theorem
Expanding binomials and finding coefficients
12 problems
Math: Permutations and Combinations
Counting outcomes with order and selection
15 problems
Math: Precalculus: Polar Coordinates and Graphs
Convert, interpret, and graph equations in polar form
15 problems
Math: Slope Fields and Direction Fields
Visualizing differential equations with slopes
10 problems
Math: Systems of Inequalities
Solving and graphing systems of linear inequalities
15 problems
Math: Taylor and Maclaurin Series
Approximating functions with polynomials
12 problems
Math: Trigonometric Sum, Difference, and Double-Angle Identities
Use identities to simplify, evaluate, and solve trigonometric expressions
12 problems
Math: Unit Circle and Trigonometry
Using angles, coordinates, and trig values on the unit circle
15 problems
Math: Vectors and Vector Operations
Adding, subtracting, scaling, and interpreting vectors
15 problems
Matrix Operations and Solving Systems
Practice with matrix arithmetic, determinants, inverses, and system solving
15 problems
Normal Distribution and Probability
Using mean, standard deviation, and z-scores to find probabilities
15 problems
Piecewise and Step Functions
Evaluating, graphing, and modeling functions with intervals
12 problems
Polynomial Operations
Adding, subtracting, and multiplying polynomials
15 problems
Power Series and Radius of Convergence
Using ratio tests, centers, and endpoints
12 problems
Precalculus Vectors: Magnitude, Direction, and Operations
Finding vector length, angle, components, sums, and products
15 problems
Precalculus: Arithmetic and Geometric Sequences
Finding terms, formulas, and sums for common sequence patterns
15 problems
Precalculus: Exponential and Logarithmic Functions
Solving, graphing, and modeling with exponentials and logarithms
15 problems
Precalculus: Parametric Equations
Graphing, interpreting, and converting parametric relationships
15 problems
Precalculus: Rational Functions and Asymptotes
Analyze vertical, horizontal, slant asymptotes, holes, and key graph features
15 problems
Precalculus: Trigonometric Identities
Simplifying, verifying, and applying trigonometric identities
15 problems
Probability and Counting Principles
Using counting methods to find probabilities
15 problems
Quadratic Equations
Solving and analyzing quadratic equations
15 problems
Quadratic Functions and Parabolas
Graphing, analyzing, and solving quadratic relationships
15 problems
Rational Expressions and Equations
Simplifying, combining, and solving with rational expressions
15 problems
Separable First-Order Differential Equations
Solving differential equations by separating variables
12 problems
Sequences and Series: Arithmetic and Geometric
Finding patterns, rules, terms, and sums
15 problems
Systems of Equations
Solving pairs of linear equations
15 problems
Trigonometry Right Triangles
Using sine, cosine, and tangent in right triangles
15 problems
Calculus: Limits and Continuity
Evaluating limits, one-sided behavior, and continuity
15 problems
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