Smarter Balanced Grade 4 Math Free Worksheets: 72 Printable Standards-Aligned PDFs with Answer Keys

If your child attends school in one of the many states that use the Smarter Balanced assessment, fourth grade is the year you will notice the math turning a corner. The problems are longer. The numbers run into the hundred-thousands, with rounding and place-value comparisons attached. Multiplication is no longer a single recalled fact — it is a two- and three-digit procedure, and it carries a new idea with it: multiplicative comparison, the understanding that one amount can be some number of times another. Division begins producing remainders that mean something in the context of the problem.

Fractions take center stage. Over the year a fourth grader learns to find equivalent fractions, to compare fractions using real reasoning, to add and subtract fractions with like denominators, and to multiply a fraction by a whole number. Decimals to hundredths follow, tied straight back to fractions. Measurement and data work, angles in degrees, and the geometry of lines and figures complete the picture. It is a substantial year — and the most reliable way through it is one skill at a time, which is precisely how these worksheets are built.

Every PDF gives a student a single clear skill, with enough practice to make it stick and not so much that it wears them down.

What’s on this page

You will find 43 single-skill PDFs, each aligned to the Common Core State Standards for Mathematics at Grade 4 — the same standards the Smarter Balanced Summative Assessment is built on. Every file stays fixed on one skill, so a child practicing multi-digit division is not also being tested on angles, and a child working through equivalent fractions is not pulled off into line plots.

Each PDF starts with a one-page Quick Review that explains the skill in plain language and works an example through from beginning to end. Then come 20 practice problems that climb gently from easy to harder, followed by 4 word problems that drop the skill into a real situation. The final page is a student-facing answer key, written so a fourth grader can check their own work and understand where a wrong turn happened — not just that one did.

Place Value & Multi-Digit Numbers

• Understanding Place Value Relationships — [4.NBT.A.1] each place is ten times the one to its right
• Reading and Writing Multi-Digit Numbers — [4.NBT.A.2] standard form, word form, and expanded form
• Comparing and Ordering Multi-Digit Numbers — [4.NBT.A.2] use place value and the symbols >, <, and =
• Rounding Multi-Digit Numbers — [4.NBT.A.3] round to any place from tens to hundred-thousands

Multi-Digit Arithmetic

• Adding Multi-Digit Whole Numbers — [4.NBT.B.4] the standard addition algorithm, with regrouping
• Subtracting Multi-Digit Whole Numbers — [4.NBT.B.4] the standard subtraction algorithm, including across zeros
• Multiplying by a One-Digit Number — [4.NBT.B.5] multiply up to four digits by a single digit
• Multiplying Two Two-Digit Numbers — [4.NBT.B.5] the area model and the standard algorithm side by side
• Dividing with Remainders — [4.NBT.B.6] divide and name the leftover as a remainder
• Finding Factors and Multiples — [4.OA.B.4] list every factor of a number and its first multiples
• Prime and Composite Numbers — [4.OA.B.4] exactly two factors means prime; more means composite

Operations & Problem Solving

• Multiplicative Comparisons — [4.OA.A.1] read ‘4 times as many’ as a multiplication statement
• Multiplicative Comparison Word Problems — [4.OA.A.2] solve ‘times as many’ stories with multiplication or division
• Multi-Step Word Problems — [4.OA.A.3] two or more operations in one real-world problem
• Interpreting Remainders — [4.OA.A.3] decide what the leftover means — round up, drop it, or use it
• Number and Shape Patterns — [4.OA.C.5] follow a rule and find the next terms in a pattern

Fractions

• Equivalent Fractions — [4.NF.A.1] the same amount written with different numbers
• Comparing Fractions — [4.NF.A.2] compare fractions with unlike denominators using benchmarks
• Adding Fractions with Like Denominators — [4.NF.B.3a] add the numerators, keep the denominator
• Subtracting Fractions with Like Denominators — [4.NF.B.3a] subtract the numerators, keep the denominator
• Decomposing Fractions — [4.NF.B.3b] break a fraction into a sum of unit fractions
• Adding and Subtracting Mixed Numbers — [4.NF.B.3c] work with the whole and fraction parts, including regrouping
• Multiplying a Fraction by a Whole Number — [4.NF.B.4b] repeated addition of a fraction, written as multiplication
• Fraction Word Problems — [4.NF.B.3d] real-world stories that call for adding or subtracting fractions

Decimals

• Fractions with Denominators 10 and 100 — [4.NF.C.5] rename tenths as hundredths and add the two
• Decimal Notation for Fractions — [4.NF.C.6] write tenths and hundredths as decimals, and back
• Comparing Decimals to Hundredths — [4.NF.C.7] line up the place values and compare with >, <, =
• Adding Decimal Fractions — [4.NF.C.5] add decimals to the hundredths place

Measurement & Data

• Converting Measurement Units — [4.MD.A.1] change from a larger unit to a smaller one
• Measurement Word Problems — [4.MD.A.2] length, weight, volume, and time in real situations
• Area of Rectangles — [4.MD.A.3] length times width — the space inside a rectangle
• Perimeter of Rectangles — [4.MD.A.3] the distance all the way around a rectangle
• Area and Perimeter Word Problems — [4.MD.A.3] decide whether a problem needs area or perimeter
• Line Plots with Fractions — [4.MD.B.4] read and use a line plot of fraction measurements

Angles

• Angles as Fractions of a Circle — [4.MD.C.5] a full turn is 360 degrees — find a fraction of it
• Measuring Angles with a Protractor — [4.MD.C.6] name angles acute, right, or obtuse by their measure
• Drawing Angles with Given Measures — [4.MD.C.6] know what a given degree measure should look like
• Adding and Subtracting Angles — [4.MD.C.7] an angle split into parts — find the missing part

Geometry

• Points, Lines, Rays, and Angles — [4.G.A.1] the building blocks of geometry and how to tell them apart
• Parallel and Perpendicular Lines — [4.G.A.1] lines that never meet, and lines that cross at a square corner
• Classifying Triangles — [4.G.A.2] sort triangles by their angles and their sides
• Classifying Quadrilaterals — [4.G.A.2] name four-sided shapes by their sides and angles
• Lines of Symmetry — [4.G.A.3] find the lines that fold a shape onto itself

How to use these worksheets at home

The most useful habit is keeping each session short. Fifteen minutes is plenty for a fourth grader, and a calm fifteen minutes will always outteach a frustrated forty. Choose one PDF, settle in nearby, and let your child do the work while you stay available for the stuck moments.

Run related skills back to back so each one supports the next — something the Smarter Balanced standards practically invite, since they are designed to build on one another. Pair “Adding Multi-Digit Whole Numbers” with “Subtracting Multi-Digit Whole Numbers” on consecutive days, and the second worksheet feels like a natural continuation. The same is true of “Equivalent Fractions” leading into “Comparing Fractions,” or “Area of Rectangles” right before “Perimeter of Rectangles.” Paired this way, the skills do a good deal of explaining on their own.

Hold the answer key back until the work is finished, then go through it together. That review step is where the learning actually settles — not in a perfect first try, but in seeing clearly why the right answer holds up. And there is no rush to finish all 43 at once; two or three focused pages a week, kept up over a stretch of months, will teach far more than an occasional marathon afternoon.

A note about Smarter Balanced at Grade 4

The Smarter Balanced Summative Assessment in Mathematics is given in the spring across member states nationwide. It is built directly on the Common Core State Standards for Mathematics, so the skills practiced on these worksheets line up with the skills the assessment measures.

The Grade 4 Smarter Balanced test is designed to ask for reasoning as well as right answers. It expects students to round and compare large numbers, perform multi-digit multiplication and division, reason about factors and multiples, compare and combine fractions, work with decimals to hundredths, and solve multi-step word problems that depend on choosing the correct operation. It mixes selected-response questions with constructed responses and performance tasks. Because each PDF here targets a single standard, the full set works as a checklist: identify the skills that are shaky, work just those, and leave the solid ground alone.

Want everything in one bundle?

If you would rather have a single organized program than a folder of separate files, the bundle gathers everything into one sequence.

Smarter Balanced Grade 4 Math Preparation Bundle — practice-test books, full-length practice tests, and complete answer keys with step-by-step explanations.

A short closing

Fourth-grade math comes together gradually — one procedure understood, one short afternoon at a time. Bookmark this page, print one PDF tonight, and let your student start somewhere small. Kids in Smarter Balanced states do steady, careful work well when the next step is clear, and a worksheet on the table makes it clear.