Vermont SBAC Grade 4 Math Free Worksheets: Free Printable PDF Worksheets with Worked Solutions

Fourth grade is the year the pieces of math start connecting to each other. Up to now a child has collected skills the way you collect stones on a walk — multiplication facts here, a sense of fractions there, some early measurement somewhere else. In fourth grade those separate stones get built into something. Multiplication becomes a tool for multi-digit problems and for comparing quantities. Fractions stop being slices and become numbers you can order and add. Place value stretches into the hundred-thousands and starts to matter for real — a child has to see that the 4 in 40,000 is worth ten times the 4 in 4,000 before any of the bigger arithmetic makes sense.

That connection is the gift of the year, and it is also what can make it feel heavy. A fourth grader learns that 3/4 and 9/12 are the same number, that a mixed number like 2 1/2 has a whole part and a fraction part, that 0.7 and 7/10 are two names for one value, that a remainder is information rather than a loose end. Each idea is reasonable on its own. The difficulty is the pace — they arrive close together, and a child can feel lost simply because the last skill had not quite settled.

That is what makes the year foundational. A fourth grader works through multi-digit multiplication and division with remainders, factors and multiples, multi-step word problems, number patterns, equivalent and comparable fractions, adding and subtracting fractions with like denominators, mixed numbers, decimals to the hundredths, angle measurement, telling area from perimeter, and the geometry of classifying shapes. Get those steady, and fifth grade has somewhere solid to stand.

These worksheets were made for steady, unhurried work. Whether your fourth grader is in Burlington, Essex, Rutland, or Montpelier, they hand over one clear skill at a time, with enough practice for it to settle in.

What’s on this page

You will find 43 single-skill PDFs here, each aligned to the Vermont Mathematics Standards at Grade 4. Every file holds one skill and nothing else — so a student practicing decimals to the hundredths is not also being asked to classify angles, and a student on long division is not pulled into line plots.

Each PDF opens with a one-page Quick Review that explains the skill plainly and walks through a worked example. Then come 20 practice problems that build from gentle to genuinely challenging, followed by 4 word problems that set the skill in a real situation. The last page is a student-facing answer key — short, friendly explanations a fourth grader can read on their own and actually learn from.

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

Keep it small and keep it regular. A Vermont school year has plenty of quiet evenings, but a fourth grader does not need a long one — fifteen minutes with a single PDF does more good than a stretched-out hour with half a child’s attention. Two steady afternoons a week, made predictable, and the routine starts doing the work for you.

Teach skills in pairs that build. Run “Multiplying by One-Digit Numbers” and then “Multiplying by Two-Digit Numbers,” with a place value page first if keeping the columns aligned is what trips your child. Do “Equivalent Fractions,” then “Comparing Fractions,” so the second rests on the first — once a child can rename 2/3 as 8/12, deciding whether it beats 7/12 takes no guessing. Carry that forward into mixed numbers, which are just whole numbers traveling with a fraction. Pair “Adding Fractions with Like Denominators” with “Subtracting Fractions with Like Denominators” — same denominators, opposite move, and the contrast clarifies both. Set multi-digit division beside a page on interpreting remainders, so the leftover gets read as part of the answer. And do “Area of Rectangles” alongside “Perimeter of Rectangles,” one question about covering the shape and one about bordering it, so the two never blur. When the second worksheet grows out of the first, the child starts from familiar ground every time.

Once a few of those arithmetic pairs feel solid, fold in the geometry and measurement pages — measuring angles, classifying triangles and quadrilaterals, reading decimals to the hundredths. They draw on a different kind of attention, and the change of pace keeps a long winter of homework from going flat. It also helps to loop back: every couple of weeks, pull a finished worksheet and have your child redo a few problems cold, so a skill that has slipped gets caught early.

And keep the answer key for after the work. Let your child finish, then check their own page and read the explanations for whatever they missed. That self-check — catching the slip, understanding the fix — is where the real learning lives, and it is a habit worth building early.

A note about SBAC at Grade 4

Vermont fourth graders take the Smarter Balanced (SBAC) Mathematics assessment in the spring. It is built on the Vermont Mathematics Standards, so the skills these worksheets practice and the skills the test measures come from the same source.

The Grade 4 SBAC asks students to reason, not just recall. It expects them to solve multi-step word problems, to explain their thinking, to justify why two fractions are equivalent, to interpret what a remainder means, to compare decimals to the hundredths, and to apply a skill in a setting they have not seen before. It pairs straightforward questions with deeper tasks that take several moves to finish. Because each PDF here targets one standard, you can treat the spring window as a checklist — see clearly what your child has down and what is still shaky, and spend practice time only where it is needed, rather than reviewing everything at the same thin depth.

A short closing

Fourth-grade math is a real climb, but it is taken one skill, one short sitting at a time. The long list of topics is not a single mountain; it is a set of small steps. Bookmark this page, print a single PDF tonight, and let your fourth grader begin somewhere small. Vermont kids do careful work well when the next step is clear — and a worksheet on the kitchen table is a clear next step.

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