Maine Through Year Assessment Grade 4 Math Free Worksheets: Printable Grade 4 Math Practice for Every Skill

Think of fourth grade as the year a student goes from knowing the pieces to building with them. A third grader has the multiplication facts, a sense of fractions, a feel for shapes. A fourth grader takes those pieces and constructs something larger — multi-digit products, real fraction comparisons, decimals, angle measurement, multi-step problems. The materials are familiar. The construction is new, and construction takes a kind of patience that pure recall never asked for.

The year covers a lot of ground. Students multiply and divide multi-digit numbers and learn what a remainder actually represents — not an error, but the part of a quantity that would not split into equal groups. They explore factors and multiples, build and compare equivalent fractions, add and subtract fractions with like denominators, work with mixed numbers, and multiply a fraction by a whole number. They read decimals to the hundredths place, measure and classify angles, convert measurement units, work with line plots, and find both area and perimeter. Each of these is a foundation stone, and fifth grade is built right on top.

Listed all at once, it is a lot. But a builder does not pour every wall in a day, and a fourth grader does not have to either. Each skill is manageable on its own, and many of them lean on each other in ways that make the later ones easier — place value steadies multiplication, equivalent fractions steadies comparing. Taken one short page at a time, the whole structure goes up without anyone feeling buried.

From Portland to Lewiston, Bangor to Augusta — and in the small schools threaded along Maine’s back roads — the path through fourth-grade math is the same: one clear skill at a time, practiced until it is solid.

What’s on this page

This page offers 43 single-skill PDFs, each aligned to the Maine Mathematics Standards at Grade 4. Every file targets one skill and leaves the rest alone. A student working on multi-digit multiplication is not also being tested on angles; a student on equivalent fractions is not sidetracked by decimals. The narrow focus is what makes the practice work.

Each PDF starts with a one-page Quick Review: the skill explained plainly, with a single example carried all the way through. Then 20 practice problems build from straightforward to challenging, and 4 word problems put the skill into a real situation. The final page is a student-facing answer key — friendly, brief explanations a fourth grader can read on their own and genuinely 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

Short and steady wins here. One PDF, one sitting, about fifteen minutes — that is the whole formula. A fourth grader will sit down willingly for a task with a visible end, and willingness is half the work.

Run related skills back to back so each one supports the next. Begin a multiplication stretch with a place-value page, because reading 5,206 as five thousands, two hundreds, and six ones is what makes the partial products make sense. Then do “Multiplying by One-Digit Numbers,” then “Multiplying by Two-Digit Numbers,” and the bigger problems feel like a step up rather than a fresh start. Set “Dividing with Remainders” right after that multiplication work, so a child meets division as multiplication run backward and sees the remainder for what it is — the bit that did not fit a whole group.

Fractions ask for the same care in ordering. Put “Equivalent Fractions” before “Comparing Fractions,” since renaming makes comparing easy, and let “Mixed Numbers” follow, because a mixed number is just a whole number and a fraction traveling together. Slide “Decimals to the Hundredths” alongside fraction work so a child catches that 0.5 and one-half name the same place on the number line. For geometry, pair “Area of Rectangles” with “Perimeter of Rectangles” so the two ideas stay distinct — one fills a space, the other walks its border — and run “Measuring Angles” before “Classifying Shapes,” so naming a triangle or quadrilateral becomes a matter of measuring rather than guessing.

Then let the answer key belong to the student. At a kitchen table in Bangor or anywhere on a quiet evening, the routine is: do the page, check it yourself, read the explanation for whatever you missed. That last quiet step is where the real learning happens. And because the assessment comes in stages through the year, it helps to revisit, too — pull an old worksheet every few weeks and have your child redo a few problems, so a skill learned in the fall is still steady by the time the spring window opens.

A note about the Through Year Assessment at Grade 4

Maine uses the Maine Through Year Assessment in Mathematics, given in three through-year windows across the fall, winter, and spring rather than in one single sitting. It is built on the Maine Mathematics Standards, so the skills on these worksheets and the skills the test measures come from the same source.

At Grade 4, the assessment asks students to reason as well as compute — to explain place-value thinking, choose operations for multi-step problems, compare fractions and justify the answer, interpret remainders, and handle decimals, angles, area, perimeter, and the classification of shapes. The through-year design is actually a gift here: instead of one high-stakes morning, a child gets several lower-stakes checkpoints, each one a chance to find a wobbly skill while there is still time to steady it. Because each PDF here is tied to a single standard, you can use each window as a fresh checklist: see what is shaky at that point, work just those skills, and move on.

A short closing

Fourth-grade math is a build, not a leap — it rises one skill, one short afternoon at a time. No single page raises the whole structure, but each one adds a course, and by spring the walls are standing. Bookmark this page, print a PDF tonight, and let your student start somewhere small. Maine kids do steady, well-made work when the next step is clear, and a worksheet on the table is about as clear as a next step gets.

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