Illinois IAR Grade 8 Math Worksheets: 72 PDF Links

Choose from 72 existing Illinois Grade 8 math PDF links, organized by topic. Open a worksheet from the directory below when you know which skill needs attention. Free access here does not require an email address or account.

This independent collection supports skill practice alongside class lessons. It includes prerequisite review and extension topics as well as Grade 8 work. Treat the directory as a choice of practice topics, rather than an official IAR test or a complete standards checklist.

Choose a starting point

Find the part of a problem that is causing difficulty: the calculation, the representation, or the explanation. Review that skill first, then return to a problem that combines it with something the student already understands.

• Real numbers: because 8² = 64 and 9² = 81, the square root of 65 lies between 8 and 9. A useful estimate starts with nearby perfect squares.
• Linear relationships: in y = 2x + 3, inputs 1 and 3 give outputs 5 and 9. The rate of change is (9 − 5) ÷ (3 − 1) = 2. Connect the table, equation and graph before moving to more complicated examples.
• Right triangles: legs of 6 and 8 units give a hypotenuse of 10 units because 6² + 8² = 100 = 10². Identify the right angle and hypotenuse before substituting lengths.

Separate topic practice from official IAR preparation

The Illinois Assessment of Readiness assesses Illinois Learning Standards in mathematics and English language arts for Grades 3–8. The Illinois State Board of Education’s IAR resource page provides grade-specific mathematics blueprints, official practice resources and guidance on assessment tools.

For Grade 8 review, connect number-system work, equations, functions, geometry and data interpretation to the teacher’s current expectations. The directory also includes broader material, such as financial-literacy and extension topics; their presence does not establish that they are Grade 8 IAR requirements. Use the official blueprint to decide what belongs in an exam-review plan.

Paper skill practice and familiarity with the test interface serve different purposes. ISBE links the Student Readiness Tool for learning TestNav navigation, features and item types. Use those official resources for platform practice rather than treating these single-topic worksheets as a full test simulation.

Real Numbers

• Rational and Irrational Numbers
• Turning Repeating Decimals into Fractions
• Estimating Irrational Numbers
• Estimating Expressions with Irrational Numbers
• Personal Financial Literacy
• Prime Factorization with Exponents
• Density of Real Numbers

Exponents, Roots & Scientific Notation

• Properties of Integer Exponents
• Square Roots and Cube Roots
• Understanding Scientific Notation
• Operations with Scientific Notation
• Order of Operations with Radicals

Linear Equations and Inequalities

• Graphing Proportional Relationships
• Slope as a Rate of Change
• Slope and the Equations of a Line
• Solving Linear Equations in One Variable
• Solving Systems of Two Equations
• Solving Real Problems with Systems
• Solving Linear Inequalities
• Multiplying Linear Expressions and Factoring
• Graphing Linear Inequalities in Two Variables
• Parallel and Perpendicular Lines
• Point-Slope and Standard Form
• Literal Equations
• Absolute Value Equations and Inequalities
• Equations with Special Solutions

Functions and Sequences

• What Is a Function?
• Reading Function Values
• Comparing Two Functions
• Linear vs. Nonlinear Functions
• Building Linear Functions
• Sketching and Describing Function Graphs
• Domain and Range of a Function
• Arithmetic Sequences
• Geometric Sequences

Geometry

• Rotations, Reflections, and Translations
• Congruent Figures
• Transformations on the Coordinate Plane
• Similarity and Dilations
• Angles in Triangles and Parallel Lines
• Pythagorean Theorem
• Distance with the Pythagorean Theorem
• Volume of Cylinders, Cones, and Spheres
• Angle Relationships
• Surface Area of Prisms, Cylinders, and Pyramids
• Volume of Pyramids
• Composite Figures: Area and Perimeter
• Interior Angles of Polygons
• Triangle Inequality Theorem
• Surface Area of Spheres
• Arc Length and Area of Sectors
• Cross Sections of 3D Figures
• Parallel Lines and Transversals
• Applying the Pythagorean Theorem
• Volume of Cones and Spheres

Statistics and Probability

• Scatter Plots
• Fitting a Line to Data
• Using a Linear Model
• Two-Way Tables
• Mean Absolute Deviation
• Probability: Simple and Compound
• Counting Principle and Permutations
• Box Plots and IQR
• Random Sampling
• Effect of Data Changes
• Probability of Compound Events

Financial Literacy

• Simple Interest
• Compound Interest
• Percents: Tax, Discount, and Markup
• Cost of Credit and Loans
• Payment Methods
• Saving for College

Continue with a matching lesson or compare the paid bundle

Use the Grade 8 Math Online Center for other public study resources. For the linear-relationship example above, revisit slope-intercept and point-slope forms to connect a line’s rate of change with its equation.

If you want to compare a paid option, visit the Illinois IAR Grade 8 Math Preparation Bundle product page. Review the current description, format, price and available preview before choosing. The free worksheet links above are separate from that purchase.