Free Math Worksheets
Download high-quality, printable math worksheets for all grade levels. From Kindergarten to Pre-Calculus, plus SAT, ACT, and State Test prep materials.
Counting Objects 1-10
Practice counting everyday objects from 1 to 10 with colorful illustrations and number tracing exercises.
Basic Shapes Recognition
Identify and trace circles, squares, triangles, and rectangles with fun real-world examples.
Color and Shape Patterns
Complete simple AB and ABC patterns using colors and shapes to build early logic skills.
Introduction to Addition
Learn basic addition with numbers 1-5 using visual aids and counting pictures.
Comparing Sizes
Compare objects by size using bigger, smaller, longer, and shorter concepts.
Addition Within 20
Master single-digit addition and sums up to 20 with word problems and visual models.
Subtraction Within 20
Practice subtraction facts and strategies with numbers up to 20 using pictures and equations.
Tens and Ones Place Value
Understand place value with tens and ones using base-10 blocks and number charts.
Telling Time to the Hour
Learn to read analog clocks and tell time to the nearest hour with practice problems.
2D Shapes and Attributes
Identify and describe 2D shapes including sides, corners, and real-world examples.
Addition Within 100
Add two-digit numbers with and without regrouping using place value strategies.
Subtraction Within 100
Subtract two-digit numbers with borrowing and solve word problems.
Counting Money and Coins
Count and compare coins and dollars, make change, and solve money word problems.
Measuring Length
Measure objects using rulers, compare lengths, and solve measurement problems.
Introduction to Arrays
Understand multiplication concepts using arrays and equal groups with visual models.
Multiplication Facts 0-12
Master multiplication tables from 0 to 12 with timed drills and word problems.
Introduction to Division
Learn division as equal sharing and grouping with visual models and basic facts.
Understanding Fractions
Identify, compare, and represent fractions using models and number lines.
Area and Perimeter
Calculate area and perimeter of rectangles and solve real-world measurement problems.
Multi-Step Word Problems
Solve word problems involving multiple operations and real-world scenarios.
Multi-Digit Multiplication
Multiply multi-digit numbers using the standard algorithm and area models.
Long Division Practice
Master long division with remainders and check answers using multiplication.
Adding and Subtracting Fractions
Add and subtract fractions with like denominators and mixed numbers.
Introduction to Decimals
Understand decimal place value, compare decimals, and relate fractions to decimals.
Angles and Lines
Identify and measure angles, classify triangles, and understand parallel and perpendicular lines.
Decimal Operations
Add, subtract, multiply, and divide decimals with real-world applications.
Multiplying and Dividing Fractions
Multiply and divide fractions and mixed numbers using visual models and algorithms.
Volume of Rectangular Prisms
Calculate volume using formulas and unit cubes with real-world problems.
Coordinate Plane Graphing
Plot points on coordinate planes and solve problems using ordered pairs.
Order of Operations
Apply PEMDAS to evaluate expressions with multiple operations and grouping symbols.
Ratios and Rates
Understand and apply ratios, rates, and unit rates to solve real-world problems.
Percent Problems
Calculate percentages, find percent of a number, and solve discount and tax problems.
Integer Operations
Add, subtract, multiply, and divide integers using number lines and rules.
Expressions and Equations
Write and evaluate algebraic expressions, solve one-step equations.
Area of Polygons
Find area of triangles, quadrilaterals, and composite figures using formulas.
Proportional Relationships
Analyze proportional relationships using tables, graphs, and equations.
Multi-Step Equations
Solve multi-step equations with variables on both sides and distributive property.
Solving Inequalities
Solve and graph one and two-step inequalities on number lines.
Probability and Statistics
Calculate theoretical and experimental probability, analyze data distributions.
Circles: Area and Circumference
Calculate area and circumference of circles using pi and solve real-world problems.
Linear Equations and Slope
Graph linear equations, find slope, and write equations in slope-intercept form.
Systems of Equations
Solve systems of linear equations using graphing, substitution, and elimination.
Exponents and Scientific Notation
Apply exponent rules and work with numbers in scientific notation.
Pythagorean Theorem
Apply the Pythagorean theorem to find missing sides and solve real-world problems.
Geometric Transformations
Perform translations, rotations, reflections, and dilations on coordinate planes.
Classifying Real Numbers
Practice identifying natural, whole, integer, rational, and irrational numbers
Number Line and Ordering Real Numbers
Plot and compare real numbers on a number line
Evaluating Algebraic Expressions
Substitute values and evaluate expressions
Simplifying Expressions
Combine like terms and simplify algebraic expressions
Writing Expressions from Word Problems
Translate verbal phrases into algebraic expressions
Multi-Step Expression Simplification
Simplify complex expressions using multiple properties
One-Step Equations
Solve one-step linear equations
Two-Step Equations
Solve two-step linear equations
Multi-Step Equations
Solve equations requiring multiple steps and combining like terms
Equations with Variables on Both Sides
Solve equations with variables on both sides
Equations with Fractions and Decimals
Solve linear equations involving fractions and decimals
Solving Systems by Graphing
Graph two linear equations and find their intersection point
Solving Systems by Substitution
Use substitution method to solve systems of linear equations
Solving Systems by Elimination
Use elimination method to solve systems of linear equations
Systems Word Problems
Set up and solve real-world problems using systems of equations
Solving One-Step Inequalities
Solve and graph one-step inequalities
Multi-Step Inequalities
Solve multi-step inequalities and graph solutions
Compound Inequalities
Solve and graph compound inequalities (AND/OR)
Absolute Value Inequalities
Solve absolute value inequalities
Graphing Quadratic Functions
Graph parabolas and identify vertex, axis of symmetry, and intercepts
Solving Quadratics by Factoring
Factor and solve quadratic equations
Solving Quadratics Using Square Roots
Solve quadratic equations by taking square roots
Completing the Square
Solve quadratic equations by completing the square
Quadratic Formula
Use the quadratic formula to solve any quadratic equation
Adding and Subtracting Polynomials
Combine polynomials using addition and subtraction
Multiplying Polynomials
Multiply polynomials using distributive property and FOIL
Factoring Polynomials - GCF
Factor out the greatest common factor from polynomials
Factoring Trinomials
Factor trinomials of the form ax² + bx + c
Exponential Growth and Decay
Model and solve exponential growth and decay problems
Properties of Exponents
Apply rules of exponents to simplify expressions
Graphing Exponential Functions
Graph exponential functions and identify key features
Function Notation and Evaluation
Use function notation and evaluate functions
Domain and Range
Identify domain and range of functions from graphs and equations
Linear Functions and Slope
Find slope and write equations of linear functions
Transformations of Functions
Graph transformations including shifts, reflections, and stretches
Triangle Congruence - SSS and SAS
Prove triangles congruent using SSS and SAS postulates
Triangle Congruence - ASA and AAS
Prove triangles congruent using ASA and AAS theorems
CPCTC - Corresponding Parts
Use CPCTC to prove corresponding parts of congruent triangles are congruent
Two-Column Proofs
Write formal two-column geometric proofs
Paragraph Proofs
Write geometric proofs in paragraph form
Similar Triangles - AA Similarity
Prove triangles similar using AA similarity postulate
Similar Triangles - SSS and SAS
Prove triangles similar using SSS and SAS similarity theorems
Proportions in Similar Figures
Solve for missing sides using proportions in similar figures
Geometric Mean and Altitude
Find geometric mean in right triangles with altitude to hypotenuse
Circle Basics - Radius, Diameter, Circumference
Calculate radius, diameter, and circumference of circles
Central Angles and Arcs
Find measures of central angles and arcs
Inscribed Angles
Find measures of inscribed angles and intercepted arcs
Tangent Lines to Circles
Work with tangent lines and their properties
Chords and Secants
Solve problems involving chords, secants, and their properties
Translations on the Coordinate Plane
Translate figures using coordinate notation
Reflections Across Lines
Reflect figures across x-axis, y-axis, and other lines
Rotations Around a Point
Rotate figures 90°, 180°, and 270° around the origin
Dilations and Scale Factor
Dilate figures using scale factors
Composition of Transformations
Perform multiple transformations in sequence
Distance Formula
Find distance between two points using the distance formula
Midpoint Formula
Find midpoint of a line segment using coordinates
Slope and Parallel/Perpendicular Lines
Find slopes and identify parallel and perpendicular lines
Equations of Lines
Write equations of lines in slope-intercept and point-slope form
Volume of Prisms and Cylinders
Calculate volume of rectangular and triangular prisms and cylinders
Volume of Pyramids and Cones
Calculate volume of pyramids and cones
Volume and Surface Area of Spheres
Calculate volume and surface area of spheres
Surface Area of Prisms and Cylinders
Calculate surface area of prisms and cylinders
Surface Area of Pyramids and Cones
Calculate surface area of pyramids and cones
Trigonometric Ratios - Sine, Cosine, Tangent
Find sine, cosine, and tangent ratios in right triangles
Solving Right Triangles
Use trigonometry to find missing sides and angles
Angles of Elevation and Depression
Solve real-world problems using angles of elevation and depression
Law of Sines
Use the Law of Sines to solve non-right triangles
Law of Cosines
Use the Law of Cosines to solve non-right triangles
Complementary and Supplementary Angles
Find measures of complementary and supplementary angles
Vertical Angles and Linear Pairs
Identify and find measures of vertical angles and linear pairs
Angles Formed by Parallel Lines and Transversals
Find angle measures using properties of parallel lines cut by a transversal
Triangle Angle Sum Theorem
Use the triangle angle sum theorem to find missing angles
Introduction to Complex Numbers
Simplify expressions with imaginary unit i
Adding and Subtracting Complex Numbers
Perform operations with complex numbers
Multiplying Complex Numbers
Multiply complex numbers and simplify
Complex Conjugates and Division
Divide complex numbers using conjugates
Simplifying Rational Expressions
Simplify rational expressions by factoring
Multiplying and Dividing Rational Expressions
Multiply and divide rational expressions
Adding and Subtracting Rational Expressions
Add and subtract rational expressions with unlike denominators
Solving Rational Equations
Solve equations containing rational expressions
Introduction to Logarithms
Convert between exponential and logarithmic form
Properties of Logarithms
Apply product, quotient, and power properties of logarithms
Solving Logarithmic Equations
Solve equations involving logarithms
Natural Logarithms and e
Work with natural logarithms and the number e
Arithmetic Sequences
Find terms and sums of arithmetic sequences
Geometric Sequences
Find terms and sums of geometric sequences
Arithmetic Series
Calculate sums of arithmetic series
Geometric Series and Infinite Series
Calculate sums of geometric series including infinite series
Circles - Standard Form
Write and graph equations of circles
Parabolas - Vertex Form
Write and graph equations of parabolas
Ellipses
Write and graph equations of ellipses
Hyperbolas
Write and graph equations of hyperbolas
Matrix Operations - Addition and Subtraction
Add and subtract matrices
Scalar Multiplication of Matrices
Multiply matrices by scalars
Matrix Multiplication
Multiply two matrices
Determinants and Inverses
Find determinants and inverse matrices
Solving Systems Using Matrices
Use matrices to solve systems of equations
Measures of Central Tendency
Calculate mean, median, and mode
Measures of Spread
Calculate range, variance, and standard deviation
Normal Distribution
Work with normal distribution and z-scores
Probability and Combinations
Calculate probabilities using permutations and combinations
Pythagorean Identities
Use Pythagorean identities to simplify expressions
Sum and Difference Identities
Apply sum and difference formulas for sine, cosine, and tangent
Double Angle and Half Angle Formulas
Use double angle and half angle identities
Verifying Trigonometric Identities
Prove trigonometric identities using algebraic manipulation
Converting Between Polar and Rectangular
Convert coordinates between polar and rectangular forms
Graphing Polar Equations
Graph equations in polar form
Polar Form of Complex Numbers
Express complex numbers in polar form
Vector Operations
Add, subtract, and find magnitude of vectors
Dot Product and Angle Between Vectors
Calculate dot product and find angles between vectors
Vector Projections
Find vector projections and components
Cross Product (3D Vectors)
Calculate cross product of three-dimensional vectors
Introduction to Limits
Evaluate limits using tables and graphs
Limit Laws and Properties
Apply limit laws to evaluate limits algebraically
Limits at Infinity
Evaluate limits as x approaches infinity
Continuity
Determine continuity of functions at points and intervals
Graphing Parametric Equations
Graph curves defined by parametric equations
Converting Parametric to Rectangular
Eliminate the parameter to find rectangular equations
Calculus with Parametric Equations
Find derivatives and tangent lines for parametric curves
Definition of the Derivative
Use the limit definition to find derivatives
Power Rule and Basic Derivatives
Find derivatives using the power rule
Product and Quotient Rules
Apply product and quotient rules for derivatives
Antiderivatives and Indefinite Integrals
Find antiderivatives of basic functions
Definite Integrals and Area
Evaluate definite integrals and find area under curves
Fundamental Theorem of Calculus
Apply the Fundamental Theorem of Calculus
Polynomial Operations & Long Division
Practice adding, subtracting, multiplying polynomials and polynomial long division
Synthetic Division & Remainder Theorem
Use synthetic division and apply the Remainder and Factor Theorems
Zeros of Polynomial Functions
Find rational zeros, apply Descartes Rule of Signs, and analyze end behavior
Simplifying Rational Expressions
Factor and simplify rational expressions, identify restrictions on the domain
Multiplying & Dividing Rational Expressions
Multiply and divide rational expressions by factoring and canceling common factors
Adding & Subtracting Rational Expressions
Find LCD and add or subtract rational expressions with unlike denominators
Solving Rational Equations
Solve rational equations and identify extraneous solutions
Exponential Growth & Decay
Model and solve exponential growth and decay problems including half-life and compound interest
Logarithm Properties & Expansion
Apply product, quotient, and power rules to expand and condense logarithmic expressions
Solving Exponential & Logarithmic Equations
Solve equations involving exponential and logarithmic expressions using properties and change of base
Arithmetic Sequences & Series
Find terms, common differences, and sums of arithmetic sequences and series
Geometric Sequences & Series
Find terms, common ratios, and sums of finite and infinite geometric series
Unit Circle & Radian Measure
Convert between degrees and radians, identify coordinates on the unit circle
Trigonometric Identities
Verify and apply Pythagorean, reciprocal, quotient, and co-function identities
Normal Distribution & Z-Scores
Interpret normal distributions, calculate z-scores, and use the empirical rule
Conditional Probability & Independence
Calculate conditional probability, test for independence, and use multiplication rules
Circles & Parabolas
Write equations of circles and parabolas in standard form and graph them
Ellipses & Hyperbolas
Write equations of ellipses and hyperbolas, identify vertices, foci, and asymptotes
ACT Math: Pre-Algebra
Master whole numbers, fractions, decimals, percents, ratios, and basic probability for ACT.
ACT Math: Elementary Algebra
Practice linear equations, inequalities, polynomials, and factoring for ACT Math.
ACT Math: Intermediate Algebra
Tackle quadratics, radicals, rational expressions, functions, and exponentials for ACT.
ACT Math: Coordinate Geometry
Master distance, midpoint, slope, graphing, and coordinate plane concepts for ACT.
ACT Math: Plane Geometry
Review angles, triangles, circles, area, volume, and geometric proofs for ACT Math.
ACT Math: Trigonometry
Practice right triangle trig, unit circle, trig identities, and graphing for ACT.
ACT Math: Full Practice Test
Complete 60-question ACT Math practice test covering all six domains with answer explanations.
SAT Math: Heart of Algebra
Master linear equations, inequalities, and systems for the SAT Math section.
SAT Math: Problem Solving
Practice data analysis, ratios, percentages, and proportional reasoning for SAT.
SAT Math: Passport to Advanced Math
Tackle quadratics, polynomials, radicals, and exponential functions for SAT.
SAT Math: Additional Topics
Review geometry, trigonometry, and complex numbers for SAT Math.
SAT Math: Full Practice Test
Complete SAT Math practice test with calculator and no-calculator sections.
ACT Math: Algebra and Functions
Practice algebra, functions, and equations for ACT Math section.
ACT Math: Geometry
Master geometry concepts including area, volume, angles, and coordinate geometry for ACT.
ACT Math: Trigonometry
Review trigonometric functions, identities, and applications for ACT Math.
ACT Math: Statistics and Probability
Practice data analysis, statistics, and probability for ACT Math section.
ACT Math: Full Practice Test
Complete 60-question ACT Math practice test with answer explanations.
Grade 3 State Test: Operations
Practice multiplication, division, and multi-step word problems for state assessments.
Grade 3 State Test: Fractions
Master fraction concepts and representations for grade 3 state tests.
Grade 3 State Test: Geometry
Review shapes, area, perimeter, and measurement for state assessments.
Grade 3 State Test: Data and Graphs
Practice reading and interpreting graphs and data for state tests.
Grade 3 State Test: Full Practice
Complete grade 3 state test practice covering all math standards.
Grade 4 State Test: Multi-Digit Operations
Practice multi-digit multiplication and division for state assessments.
Grade 4 State Test: Fractions and Decimals
Master fraction operations and decimal concepts for grade 4 state tests.
Grade 4 State Test: Measurement
Review angles, area, perimeter, and unit conversions for state assessments.
Grade 4 State Test: Geometry
Practice geometric shapes, symmetry, and coordinate planes for state tests.
Grade 4 State Test: Full Practice
Complete grade 4 state test practice covering all math standards.
Grade 5 State Test: Decimal Operations
Master all operations with decimals for grade 5 state assessments.
Grade 5 State Test: Advanced Fractions
Practice multiplying and dividing fractions for state tests.
Grade 5 State Test: Volume
Calculate volume of rectangular prisms for grade 5 state assessments.
Grade 5 State Test: Coordinate Plane
Practice graphing and coordinate plane problems for state tests.
Grade 5 State Test: Full Practice
Complete grade 5 state test practice covering all math standards.
Grade 6 State Test: Ratios and Proportions
Master ratios, rates, and proportional relationships for state assessments.
Grade 6 State Test: Expressions and Equations
Practice algebraic expressions and one-step equations for state tests.
Grade 6 State Test: Geometry and Area
Review area of polygons and surface area for grade 6 state assessments.
Grade 6 State Test: Statistics
Practice data analysis and statistical measures for state tests.
Grade 6 State Test: Full Practice
Complete grade 6 state test practice covering all math standards.
Grade 7 State Test: Proportional Relationships
Master proportional relationships and linear equations for state assessments.
Grade 7 State Test: Equations and Inequalities
Practice multi-step equations and inequalities for state tests.
Grade 7 State Test: Geometry
Review circles, angles, and geometric constructions for grade 7 state assessments.
Grade 7 State Test: Probability
Practice probability and statistical inference for state tests.
Grade 7 State Test: Full Practice
Complete grade 7 state test practice covering all math standards.
Grade 8 State Test: Linear Functions
Master linear equations, slope, and graphing for state assessments.
Grade 8 State Test: Systems of Equations
Practice solving systems of equations for grade 8 state tests.
Grade 8 State Test: Functions
Review function concepts and representations for state assessments.
Grade 8 State Test: Geometry
Practice Pythagorean theorem and transformations for state tests.
Grade 8 State Test: Full Practice
Complete grade 8 state test practice covering all math standards.
SHSAT Math: Arithmetic
Master arithmetic operations and number sense for SHSAT exam.
SHSAT Math: Algebra
Practice algebraic expressions, equations, and word problems for SHSAT.
SHSAT Math: Geometry
Review geometry concepts including area, volume, and coordinate geometry for SHSAT.
SHSAT Math: Word Problems
Master complex word problems and logical reasoning for SHSAT exam.
SHSAT Math: Full Practice Test
Complete SHSAT Math practice test with timing and answer explanations.
ACT Math: Whole Numbers & Operations
Multi-step calculations, order of operations (PEMDAS), large number arithmetic, and estimation — exactly as tested on the ACT.
ACT Math: Fractions
Add, subtract, multiply, and divide fractions; convert mixed numbers; compare fractions; and solve fraction word problems in ACT format.
ACT Math: Decimals
Decimal operations, place value, rounding, converting between decimals and fractions, and real-world decimal applications for ACT.
ACT Math: Percents
Percent of a number, percent increase/decrease, converting between percents/decimals/fractions, and real-world percent problems.
ACT Math: Ratios & Proportions
Set up and solve proportions, unit rates, scale drawings, similar figures, and unit conversions — all in ACT multiple-choice format.
ACT Math: Integers & Operations
Operations with positive and negative integers, absolute value, number line problems, and integer word problems for ACT.
ACT Math: Factors & Multiples
Prime factorization, GCF, LCM, prime vs. composite numbers, divisibility rules, and number theory problems in ACT format.
ACT Math: Number Properties
Commutative, associative, and distributive properties; even/odd rules; identity and inverse properties — applied in ACT-style problems.
ACT Math: Basic Probability
Simple and compound probability, independent events, probability with/without replacement, and probability word problems for ACT.
ACT Math: Data Interpretation
Mean, median, mode, range, reading bar graphs, line graphs, pie charts, and scatter plots — all in ACT multiple-choice format.
ACT Math: Substitution & Evaluating Expressions
Substitute values into algebraic expressions and formulas, evaluate with negative numbers and exponents, in ACT format.
ACT Math: Setting Up Equations from Word Problems
Translate verbal descriptions into algebraic equations — sums, differences, products, consecutive integers, and real-world scenarios.
ACT Math: Linear Equations in One Variable
Solve multi-step linear equations with distributive property, combining like terms, fractions, and decimals — ACT style.
ACT Math: Absolute Value Equations
Solve absolute value equations with one and two solutions, set up two-case equations, and apply to real-world contexts.
ACT Math: Linear Inequalities
Solve one-variable and compound inequalities, reverse inequality sign rules, and graph solutions on a number line.
ACT Math: Linear Equations in Two Variables
Slope, y-intercept, slope-intercept form, standard form, x/y intercepts, parallel and perpendicular lines — ACT format.
ACT Math: Systems of Linear Equations
Solve systems by substitution and elimination; identify no solution, one solution, or infinitely many solutions.
ACT Math: Polynomials — Add, Subtract, Multiply
Add and subtract polynomials, multiply using FOIL and distributive property, expand binomials and trinomials.
ACT Math: Factoring Polynomials
Factor using GCF, trinomials, difference of squares, perfect square trinomials, and factoring by grouping.
ACT Math: Solving Quadratic Equations
Solve quadratics by factoring, square roots, and the quadratic formula; use the discriminant to determine solution types.
ACT Math: Quadratic Formula & Discriminant
Apply the quadratic formula to any quadratic; use the discriminant to classify solutions as real, repeated, or complex.
ACT Math: Radical Expressions
Simplify radicals, add/subtract/multiply radicals, rationalize denominators, and work with cube roots.
ACT Math: Rational Expressions
Simplify, multiply, divide, add, and subtract rational expressions; identify domain restrictions.
ACT Math: Complex Numbers
Add, subtract, multiply, and divide complex numbers; simplify powers of i; find conjugates.
ACT Math: Functions & Function Notation
Evaluate functions, find domain and range, compose functions, and solve for x given f(x) — all in ACT format.
ACT Math: Matrices
Add, subtract, and multiply matrices; scalar multiplication; identify dimensions and elements.
ACT Math: Sequences & Series
Arithmetic and geometric sequences, find nth terms, calculate partial sums, and identify common differences and ratios.
ACT Math: Logarithms
Evaluate logarithms, apply log properties (product, quotient, power rules), solve logarithmic equations.
ACT Math: Exponential Functions
Simplify exponential expressions, apply exponent rules, evaluate exponential functions, and model growth/decay.
ACT Math: Systems of Inequalities
Graph linear inequalities, identify solution regions, solve systems of inequalities, and test boundary points.
ACT Math: Number Line & Midpoint
Find distances on a number line, calculate midpoints in 1D and 2D, and solve for missing endpoints.
ACT Math: Distance Formula
Calculate distances between two points using the distance formula; apply to horizontal, vertical, and diagonal segments.
ACT Math: Slope & Equations of Lines
Calculate slope, write equations in slope-intercept and point-slope form, convert between forms, and find intercepts.
ACT Math: Parallel & Perpendicular Lines
Identify parallel and perpendicular lines by slope, write equations of parallel/perpendicular lines through given points.
ACT Math: Graphing Linear Equations
Find x- and y-intercepts, graph lines using slope and intercept, and identify lines from graphs.
ACT Math: Graphing Quadratics & Parabolas
Find vertex, axis of symmetry, direction of opening, and intercepts of parabolas; use vertex form.
ACT Math: Circles on the Coordinate Plane
Write and interpret circle equations in standard form; find center, radius, and diameter from equations.
ACT Math: Transformations
Translations, reflections over axes and y=x, rotations, and dilations of points and figures on the coordinate plane.
ACT Math: Graphing Inequalities
Graph linear inequalities, determine solid vs. dashed boundaries, shade correct regions, and test solution points.
ACT Math: Conics Overview
Identify circles, ellipses, parabolas, and hyperbolas from equations; find key features of each conic section.
ACT Math: Angles & Lines
Complementary, supplementary, vertical, and corresponding angles; parallel lines cut by a transversal; angle equations.
ACT Math: Triangles — Area, Perimeter & Types
Triangle area and perimeter, angle sum, isosceles and equilateral triangles, exterior angles, and triangle classification.
ACT Math: Pythagorean Theorem
Apply the Pythagorean theorem to find missing sides; recognize Pythagorean triples; solve real-world right triangle problems.
ACT Math: Similar & Congruent Triangles
Scale factors, proportional sides, congruence criteria (SSS, SAS, ASA), similarity criteria (AA, SAS, SSS), and area ratios.
ACT Math: Quadrilaterals
Area and perimeter of rectangles, squares, parallelograms, trapezoids, and rhombuses; angle properties of quadrilaterals.
ACT Math: Circles — Area, Circumference, Arcs & Sectors
Circumference, area, arc length, sector area, central angles, inscribed angles, and concentric circles.
ACT Math: 3D Solids — Volume & Surface Area
Volume and surface area of prisms, cylinders, spheres, cones, and pyramids; find missing dimensions.
ACT Math: Composite Figures
Find area and volume of composite shapes by adding or subtracting basic figures; multi-step geometry problems.
ACT Math: Coordinate Geometry Proofs
Use distance, midpoint, and slope formulas to classify quadrilaterals, prove parallelism, and verify geometric properties.
ACT Math: Geometric Reasoning & Proofs
Apply definitions, postulates, and theorems to draw conclusions; identify congruent/similar figures; multi-step reasoning.
ACT Math: Right Triangle Trig (SOH-CAH-TOA)
Apply sine, cosine, and tangent ratios to find missing sides and angles in right triangles — ACT format.
ACT Math: Trig Ratios & Special Values
Exact values for 30°, 45°, 60°; reciprocal functions (csc, sec, cot); cofunction identities and special angle patterns.
ACT Math: Solving Right Triangles
Find all missing sides and angles of right triangles using trig ratios, inverse trig, and the Pythagorean theorem.
ACT Math: Law of Sines
Apply the Law of Sines to non-right triangles (AAS, ASA, SSA); find missing sides and angles.
ACT Math: Law of Cosines
Apply the Law of Cosines to find missing sides (SAS) and angles (SSS) in non-right triangles.
ACT Math: Unit Circle Basics
Coordinates on the unit circle, trig values at key angles (0°–360°), quadrant sign patterns, and reference angles.
ACT Math: Trigonometric Identities
Pythagorean identities, reciprocal identities, quotient identities, cofunction identities, and even-odd identities.
ACT Math: Graphing Trigonometric Functions
Amplitude, period, phase shift, and vertical shift of sine, cosine, and tangent graphs; match equations to graphs.
ACT Math: Inverse Trigonometric Functions
Evaluate arcsin, arccos, and arctan; find angles from ratios; apply inverse trig to solve right triangle problems.
ACT Math: Trig Applications & Word Problems
Angle of elevation/depression, height and distance problems, navigation, and real-world trig applications.
ACT Math: Pre-Algebra Full Review
Comprehensive review of all Pre-Algebra topics: whole numbers, fractions, decimals, percents, ratios, integers, probability, and data.
ACT Math: Elementary Algebra Full Review
Complete review of all Elementary Algebra topics: equations, inequalities, systems, polynomials, factoring, and quadratics.
ACT Math: Intermediate Algebra Full Review
Full review of Intermediate Algebra: quadratic formula, radicals, rational expressions, complex numbers, functions, matrices, sequences, logs, and exponentials.
ACT Math: Coordinate Geometry Full Review
Complete review of Coordinate Geometry: distance, midpoint, slope, lines, parabolas, circles, transformations, inequalities, and conics.
ACT Math: Plane Geometry Full Review
Full review of Plane Geometry: angles, triangles, Pythagorean theorem, similarity, quadrilaterals, circles, 3D solids, and composite figures.
ACT Math: Trigonometry Full Review
Complete review of all Trig topics: SOH-CAH-TOA, special values, solving triangles, Law of Sines/Cosines, unit circle, identities, and graphing.
ACT Science: Reading Tables & Extracting Data
Practice reading scientific tables, identifying trends, extracting specific values, and comparing data points across rows and columns.
ACT Science: Reading Graphs & Charts
Interpret line graphs, bar charts, scatter plots, and pie charts; identify maximum/minimum values, trends, and relationships between variables.
ACT Science: Identifying Trends & Patterns
Recognize increasing/decreasing trends, direct/inverse relationships, periodic patterns, and correlations in scientific data.
ACT Science: Interpolation & Extrapolation
Estimate values between data points (interpolation) and predict values beyond the data range (extrapolation) using graphs and tables.
ACT Science: Translating Between Data Formats
Convert information between tables, graphs, diagrams, and written descriptions; match data representations to scenarios.
ACT Science: Calculating Rates of Change
Calculate slopes, rates of change, and average values from graphs and tables; determine which variable changes faster.
ACT Science: Comparing Data Sets
Compare multiple experiments, trials, or conditions; identify similarities, differences, and which data set shows the strongest effect.
ACT Science: Experimental Design Principles
Identify control groups, experimental groups, sample size, randomization, and proper experimental setup in scientific studies.
ACT Science: Identifying Variables
Distinguish between independent variables (manipulated), dependent variables (measured), and controlled variables (constants).
ACT Science: Understanding Experimental Procedures
Interpret step-by-step procedures, identify the purpose of each step, and recognize proper experimental techniques.
ACT Science: Selecting Tools & Measurements
Choose appropriate measuring instruments, determine precision requirements, and identify correct units for scientific measurements.
ACT Science: Evaluating Experimental Validity
Assess whether experiments are well-designed, identify sources of error, and determine if conclusions are supported by data.
ACT Science: Comparing Conflicting Viewpoints
Analyze competing scientific theories, identify key differences, and determine what evidence would support or refute each viewpoint.
ACT Science: Evaluating Hypotheses with New Evidence
Determine which hypothesis is better supported when new experimental data is presented; assess consistency with predictions.
ACT Science: Drawing Conclusions from Data
Make valid inferences based on experimental results, avoid overgeneralization, and distinguish between correlation and causation.
ACT Science: Identifying Assumptions
Recognize unstated assumptions underlying scientific arguments, experiments, and conclusions; assess whether assumptions are reasonable.
ACT Science: Determining Which Theory is Better Supported
Evaluate multiple theories or models against evidence, identify which is most consistent with data, and explain why.
ACT Science: Biology-Focused Passages
Practice with biology-themed passages covering cell biology, genetics, ecology, evolution, and natural selection.
ACT Science: Chemistry-Focused Passages
Practice with chemistry-themed passages covering pH, phase changes, solubility, reactions, and molecular structure.
ACT Science: Physics-Focused Passages
Practice with physics-themed passages covering forces, motion, energy, momentum, gravity, and density.
ACT Science: Earth & Space Science Passages
Practice with Earth/Space science passages covering geology, astronomy, meteorology, oceanography, and climate.
ACT Science: Data Representation Passages
Focused practice on Data Representation passages (2-3 per test) — pure data analysis with graphs, tables, and diagrams.
ACT Science: Research Summaries Passages
Focused practice on Research Summaries passages (2-3 per test) — experimental design, procedures, and results analysis.
ACT Science: Conflicting Viewpoints Passages
Focused practice on Conflicting Viewpoints passages (1 per test) — comparing competing theories and scientific arguments.
ACT Science: Interpretation of Data Full Review
Comprehensive review of all Interpretation of Data skills: reading tables/graphs, trends, interpolation, translating formats, rates, and comparisons.
ACT Science: Scientific Investigation Full Review
Complete review of Scientific Investigation skills: experimental design, variables, procedures, tools, and validity assessment.
ACT Science: Evaluation of Models Full Review
Full review of Evaluation of Models skills: comparing viewpoints, evaluating hypotheses, drawing conclusions, assumptions, and theory support.
ACT Science: Timed Practice Set 1
Full-length timed practice set with 6-7 passages (40 questions) — simulate real test conditions with mixed passage types.
ACT Science: Timed Practice Set 2
Full-length timed practice set with 6-7 passages (40 questions) — different passages from Set 1 for additional practice.
ACT Science: Timed Practice Set 3
Full-length timed practice set with 6-7 passages (40 questions) — advanced difficulty for final test prep.
Commas with Essential vs. Non-Essential Elements
Master comma placement with restrictive and non-restrictive clauses, appositives, and parenthetical elements
Commas in Series and Lists
Practice using commas correctly in lists, series, and coordinate adjectives
Semicolons and Colons
Learn when to use semicolons to join independent clauses and colons to introduce lists or explanations
Apostrophes for Possession and Contractions
Master apostrophe usage in possessive nouns, contractions, and common errors like its vs. it's
Dashes and Parentheses
Practice using em dashes and parentheses to set off additional information or create emphasis
End-of-Sentence Punctuation
Review proper use of periods, question marks, and exclamation points in various contexts
Comprehensive Punctuation Review
Mixed practice covering all punctuation marks tested on the ACT English section
Subject-Verb Agreement
Practice matching subjects with verbs, including tricky cases with prepositional phrases and compound subjects
Pronoun-Antecedent Agreement
Master pronoun agreement in number, gender, and person with their antecedents
Verb Tense and Formation
Practice maintaining consistent verb tense and using correct verb forms including irregular verbs
Pronoun Case
Learn when to use subjective, objective, and possessive pronoun forms (I vs. me, who vs. whom)
Adjectives, Adverbs, and Modifiers
Practice using adjectives vs. adverbs correctly and fixing misplaced or dangling modifiers
Comparative and Superlative Forms
Master the correct use of comparative (-er, more) and superlative (-est, most) forms
Idiomatic Usage and Prepositions
Practice choosing the correct prepositions and idiomatic expressions commonly tested on the ACT
Comprehensive Grammar and Usage Review
Mixed practice covering all grammar and usage concepts tested on the ACT English section
Sentence Fragments
Identify and correct incomplete sentences that lack a subject, verb, or complete thought
Run-On Sentences and Fused Sentences
Learn to identify and fix run-on sentences where two independent clauses are improperly joined
Comma Splices
Practice identifying and correcting comma splices where commas incorrectly join independent clauses
Coordination and Subordination
Master the use of coordinating and subordinating conjunctions to join clauses properly
Parallel Structure
Practice maintaining parallel structure in lists, comparisons, and paired elements
Comprehensive Sentence Structure Review
Mixed practice covering fragments, run-ons, comma splices, coordination, and parallelism
Topic Development and Strategy
Practice deciding whether to add, delete, or revise sentences based on the passage's purpose and focus
Organization and Logical Sequence
Learn to arrange sentences and paragraphs in the most logical and effective order
Transitions and Coherence
Master the use of transitional words and phrases to connect ideas smoothly within and between paragraphs
Unity and Focus
Practice maintaining a consistent focus and identifying sentences that disrupt the passage's unity
Comprehensive Rhetorical Skills Review
Mixed practice covering topic development, organization, transitions, and unity
Precise Word Choice and Diction
Practice selecting the most accurate and appropriate word for a given context
Conciseness and Eliminating Wordiness
Learn to choose the shortest, clearest option that conveys the necessary information
Eliminating Redundancy
Practice identifying and removing redundant words and phrases that repeat the same idea
Tone and Style Consistency
Master maintaining a consistent level of formality and matching the author's established tone
Comprehensive Word Choice Review
Mixed practice covering precision, conciseness, redundancy elimination, and tone consistency
Full ACT English Practice Test 1
Complete 75-question practice test with 5 passages covering all ACT English topics (45-minute timed)
Full ACT English Practice Test 2
Complete 75-question practice test with 5 passages covering all ACT English topics (45-minute timed)
Full ACT English Practice Test 3
Complete 75-question practice test with 5 passages covering all ACT English topics (45-minute timed)
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