Grade 9 Math Worksheets
Twenty-eight free printable worksheets covering core Grade 9 math topics, each with a full answer key.
Number Sense
Exponent Laws
Product, quotient and power laws, plus zero and negative exponents.
Rational Numbers
Operations with positive and negative fractions and decimals, and ordering them.
Ratios, Rates & Proportional Reasoning
Simplifying, solving proportions, sharing in a ratio and interpreting scale.
Percent, Growth & Decay
Percent change, repeated growth and depreciation, and working backwards.
Operations
Order of Operations with Powers
Evaluating expressions with exponents, negatives and substitution.
Adding & Subtracting Polynomials
Collecting like terms and subtracting a whole bracket correctly.
Multiplying Polynomials
Distributing a constant or a monomial, and multiplying two binomials.
Factoring
Taking out a common factor and factoring simple quadratic trinomials.
Patterning & Algebra
Solving Multi-Step Equations
Equations with brackets and the variable on both sides.
Rearranging Formulas
Isolating any variable in a formula, then substituting to solve.
Slope & Linear Relations
Calculating slope from two points and writing equations in y = mx + b form.
Graphing & Interpreting Linear Relations
Finding points, intercepts and reading meaning from slope and intercept in context.
Finding Slope from a Graph
Reading rise over run straight off a grid, then naming the slope and the y-intercept.
Writing Equations from a Graph
Reading the slope and the y-intercept off a grid, then writing the line in y = mx + b form.
Intercepts from a Graph
Finding where a line crosses each axis, and checking it algebraically.
Graphing Lines from an Equation
Plotting the y-intercept first, then using the slope to find a second point.
Measurement & Geometry
The Pythagorean Theorem
Exact and decimal answers, plus applications to ramps, screens and diagonals.
Volume of Cones, Spheres & Pyramids
Applying the volume formulas and comparing solids that share dimensions.
Composite Figures & Optimization
Areas built from simpler shapes, and finding the most efficient dimensions.
Angle Properties & Geometric Reasoning
Angle sums, polygon properties and the relationships created by parallel lines.
Data & Probability
Scatter Plots & Line of Best Fit
Correlation, fitting a line, predicting values and the limits of prediction.
Analyzing Data & Spread
Mean, median, range and choosing the measure that represents the data honestly.
Evaluating Statistical Claims
Sampling methods, misleading presentation and the questions to ask of any statistic.
Probability & Simulations
Theoretical and experimental probability, independent events and complements.
Financial Literacy
Income, Deductions & Budgeting
Gross and net pay, payroll deductions and building a budget from take-home income.
Simple & Compound Interest
Comparing the two directly, and applying them to savings and to debt.
Appreciation & Depreciation
How assets gain or lose value over time, using repeated percentage change.
Comparing Financial Choices
Financing versus paying cash, unit pricing and comparing total cost.
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