DC CAPE Grade 8 Math Worksheets: 72 Free PDF Links

Choose a topic below to find free printable Grade 8 math worksheets for District of Columbia learners. The 72 existing PDF links open directly; you do not need an email address or account.

Start with the skill your student is learning or needs to revisit. These Effortless Math resources are independent practice materials, not official DC CAPE questions or a complete test blueprint. The collection also includes review and extension topics; a listed topic does not establish that it is tested at Grade 8.

Real Numbers

• Rational and Irrational Numbers, tell a fraction-able number from one whose decimal never repeats
• Turning Repeating Decimals into Fractions, the algebra trick that turns 0.272727.. Into a clean fraction
• Estimating Irrational Numbers, pin a root like √20 between two whole numbers, then closer
• Estimating Expressions with Irrational Numbers, approximate whole expressions that mix roots and π
• Personal Financial Literacy, real-money math: budgets, balances, and simple percent work
• Prime Factorization with Exponents, break a number all the way down and write it with exponents
• Density of Real Numbers, there is always another number between any two, find it

Exponents, Roots & Scientific Notation

• Properties of Integer Exponents, product, quotient, power, zero, and negative-exponent rules
• Square Roots and Cube Roots, undo a square or a cube, including the ± on x² equations
• Understanding Scientific Notation, move the decimal the right way for huge and tiny numbers
• Operations with Scientific Notation, multiply, divide, add, and subtract without losing the exponent
• Order of Operations with Radicals, where the radical bar fits in PEMDAS. It groups like parentheses

Linear Equations and Inequalities

• Graphing Proportional Relationships, read the unit rate straight off a proportional graph
• Slope as a Rate of Change, slope is just rise over run, a real-world rate
• Slope and the Equations of a Line, build y = mx + b from a slope and a point
• Solving Linear Equations in One Variable, multi-step solving: distribute, combine, isolate
• Solving Systems of Two Equations, find the point two lines share by substitution or elimination
• Solving Real Problems with Systems, turn a word problem into two equations and solve it
• Solving Linear Inequalities, solve like an equation, but flip the sign when you divide by a negative
• Multiplying Linear Expressions and Factoring, distribute to expand, pull out a common factor to undo it
• Graphing Linear Inequalities in Two Variables, boundary line, solid or dashed, then shade the right side
• Parallel and Perpendicular Lines, equal slopes for parallel, negative reciprocals for perpendicular
• Point-Slope and Standard Form, two more ways to write a line, and when each one helps
• Literal Equations, solve a formula for a different letter
• Absolute Value Equations and Inequalities, split into two cases, and read ‘and’ vs ‘or’ correctly
• Equations with Special Solutions, spot ‘no solution’ and ‘all real numbers’ before you waste time

Functions and Sequences

• What Is a Function?, every input gets exactly one output, and how to check
• Reading Function Values, evaluate f(x) and read values from tables and graphs
• Comparing Two Functions, compare functions given as equations, tables, and graphs
• Linear vs. Nonlinear Functions, constant rate of change means linear, everything else does not
• Building Linear Functions, write the function from a description, a table, or two points
• Sketching and Describing Function Graphs, match a graph’s shape to a story: increasing, flat, falling
• Domain and Range of a Function, the inputs you may use and the outputs you get back
• Arithmetic Sequences, add the same step each time, and find the nth term
• Geometric Sequences, multiply by the same ratio each time, and find the nth term

Geometry

• Rotations, Reflections, and Translations, the three rigid motions and what each does to a figure
• Congruent Figures, same size and shape, and the moves that prove it
• Transformations on the Coordinate Plane, apply transformation rules to coordinates
• Similarity and Dilations, scale a figure up or down and keep its shape
• Angles in Triangles and Parallel Lines, the angle sum and the parallel-line angle pairs
• Pythagorean Theorem, a² + b² = c² for any right triangle
• Distance with the Pythagorean Theorem, find the distance between two points on the plane
• Volume of Cylinders, Cones, and Spheres, the three curved-solid volume formulas, side by side
• Angle Relationships, complementary, supplementary, vertical, and adjacent angles
• Surface Area of Prisms, Cylinders, and Pyramids, add up every face, nets make it visible
• Volume of Pyramids, one-third of the matching prism
• Composite Figures: Area and Perimeter, break an odd shape into shapes you already know
• Interior Angles of Polygons, the (n − 2) × 180° rule for any polygon
• Triangle Inequality Theorem, which three lengths can actually close into a triangle
• Surface Area of Spheres, the 4πr² formula and where it shows up
• Arc Length and Area of Sectors, a slice of a circle. Its curved edge and its area
• Cross Sections of 3D Figures, the 2D shape you get when you slice a solid
• Parallel Lines and Transversals, name and use every angle pair a transversal creates
• Applying the Pythagorean Theorem, real-world right-triangle problems: ladders, ramps, diagonals
• Volume of Cones and Spheres, focused practice on the two trickiest volume formulas

Statistics and Probability

• Scatter Plots, read clustering, outliers, and the direction of a trend
• Fitting a Line to Data, draw a trend line and find its slope and intercept
• Using a Linear Model, use the trend line to predict and to interpret slope
• Two-Way Tables, organize categorical data and read relative frequencies
• Mean Absolute Deviation, measure how spread out a data set really is
• Probability: Simple and Compound, single-event probability and combining events
• Counting Principle and Permutations, count outcomes by multiplying, and when order matters
• Box Plots and IQR, the five-number summary, the box, and the spread of the middle
• Random Sampling, why a fair sample beats a biased one, and how to scale up
• Effect of Data Changes, what adding or scaling values does to mean, median, and range
• Probability of Compound Events, and/or events, with and without replacement

Financial Literacy

• Simple Interest, I = Prt, interest that grows on the original amount only
• Compound Interest, interest that earns interest, period after period
• Percents: Tax, Discount, and Markup, the everyday percent problems behind every receipt
• Cost of Credit and Loans, what borrowing really costs once interest is counted
• Payment Methods, cash, debit, credit, and checks, the math and the trade-offs
• Saving for College, set a goal, plan a monthly amount, and let growth help

Plan a focused practice session

Ask the student to explain one familiar example before choosing a worksheet. If the explanation is uncertain, review that skill first. If it is clear, move to a related application rather than repeating the same task.

Useful pairings include integer exponents before scientific notation, proportional relationships before slope, and identifying functions before comparing them. Work through a manageable set, discuss the reasoning, and revisit any error with different numbers. Let the student’s understanding determine the pace.

For explanations and other public learning resources, visit the Grade 8 math center.

DC CAPE Next: what changes for spring 2027?

DC CAPE stands for District of Columbia Comprehensive Assessments of Progress in Education. OSSE says DC CAPE Next begins in the 2026–27 school year, with its first administration in spring 2027. The educational standards remain unchanged, while math moves to a computer-adaptive section and a performance task.

Use this directory for skill practice alongside your teacher’s guidance. Ask your school which grade-level or course assessment applies to your student, and use OSSE’s DC CAPE Next guidance for current test-design information. These worksheets do not reproduce the online assessment experience.

Optional book practice

The free worksheet links above are available independently. If you want a separate book-based review plan, compare the District of Columbia Grade 8 preparation bundle. Check its current contents, available preview and format before choosing it; do not assume older practice books reproduce the spring 2027 test design.