Alaska AK STAR Grade 4 Math Free Worksheets: Standards-Aligned Practice PDFs, No Signup Required

Think of fourth-grade math as the year a student stops walking and starts hiking. The terrain is familiar, it is still addition, still multiplication, still fractions, but the ground rises. Numbers stretch into the hundred-thousands. Multiplication becomes a multi-step climb. Division starts handing back remainders. Fractions become numbers you compare and add, not just shapes you shade. It is a real ascent, and like any good hike, it goes best when you take it one section at a time.

What makes the year manageable is that the trail is well marked. Every fourth-grade skill builds on the one before it, and a student who gets focused practice on each piece arrives at the top steadier than one who tried to rush.

It is worth saying plainly: this is a foundational year. The multi-digit multiplication a fourth grader practices now becomes the engine behind fractions, area, and the multi-step problems of fifth grade. The fraction work, equivalence, comparing, adding, is the soil that decimals and, much later, algebra grow out of. Getting these skills steady is not a chore that ends in June; it is the base camp for everything ahead.

These worksheets are built to be those marked sections. Whether your child is in Anchorage, Fairbanks, Juneau, or Wasilla, each one offers a single skill, clearly explained, with enough practice to make it stick before moving on.

What’s on this page

There are 43 single-skill PDFs here, each aligned to the Alaska Mathematics Standards at Grade 4. Every file stays on one skill and one skill only, so a student working through long division is not also juggling symmetry, and a student on decimal place value is not distracted by area formulas.

Each PDF opens with a one-page Quick Review: the skill explained in plain language, with one example worked all the way through. Then 20 practice problems that build from gentle to genuinely challenging, plus 4 word problems that drop the skill into a real-world setting. The final page is a student-facing answer key, written with short, friendly explanations a fourth grader can read alone and 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

You do not need an elaborate system. A couple of quiet afternoons a week, one PDF per sitting, is enough to move a student forward all year. Most of these take about fifteen minutes, short enough that a nine-year-old will sit down without a fight.

The trick that makes practice feel lighter is pairing skills that lean on each other. Do “Multiplying by One-Digit Numbers” and then “Multiplying by Two-Digit Numbers,” and the second is a step up rather than a wall. Run “Equivalent Fractions” before “Comparing Fractions,” or “Area of Rectangles” right before “Perimeter of Rectangles.” Each pair lets the first worksheet quietly prepare the way for the second.

Hand back the answer key only after the work is done, then sit and review it together. In a home in Juneau or a classroom outside Fairbanks, that review is where the understanding actually settles, a child reading why an answer works learns far more than a child who simply got it right.

And when a worksheet goes sideways, read it as a map rather than a grade. A rough page on subtracting fractions usually points to one step, finding the common denominator, say, that needs another look, not to a child who “can’t do fractions.” Because each PDF covers just one skill, that weak spot is easy to find. Pull the same sheet out again later in the week; the second attempt almost always goes smoother, and that improvement is a lesson in itself.

A note about AK STAR at Grade 4

Alaska fourth graders take the Alaska System of Academic Readiness (AK STAR) Mathematics assessment in the spring. It is built on the Alaska Mathematics Standards, which align to the Common Core, meaning the skills on these worksheets and the skills on the test grow from the same root.

At Grade 4, AK STAR asks for more than quick recall. Students are expected to read and compare large numbers, multiply and divide multi-digit numbers, reason about factors, multiples, and prime versus composite numbers, compare and add fractions, handle early decimals, and untangle multi-step word problems. Since each PDF here aims at one standard, you can use the collection as a checklist, find the skill that is wobbly, work that PDF, and leave the solid skills alone.

A short closing

Fourth-grade math is a climb, but it is a marked one, and a student gets up it one section at a time. Bookmark this page, print one PDF tonight, and let your child start small. Alaska kids are used to long trails. This one just needs a clear next step, and a worksheet on the table is exactly that.

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Recommended EffortlessMath Books

For a workbook that pairs neatly with these printable practice pages, Mastering Grade 4 Math walks your child through every fourth-grade topic with clear examples and lots of try-it-yourself problems. For extra word-problem practice (the part many fourth graders find hardest), see Mastering Grade 4 Math Word Problems.

Frequently Asked Questions

What are the Alaska 4th grade math standards?

Alaska’s grade 4 math standards are the Alaska Mathematics Standards, which AK STAR is built on. They cover operations and algebraic thinking, place value and multi-digit arithmetic, fractions and decimals to hundredths, measurement and data, and geometry. A fourth grader is expected to multiply up to four digits by one digit, divide with remainders, and add fractions with like denominators. The full standards are posted by Alaska’s Department of Education & Early Development.

Is there a grade 4 math test with answers in PDF?

For official AK STAR practice, check the Alaska Department of Education & Early Development’s assessment pages for current sample items. For printable practice with answers, every Alaska Grade 4 worksheet here is a PDF with an answer key. To build a mini test at home, pick five pages from different strands, such as long division, comparing fractions and angle measure, and have your child work them in one sitting before checking the key.

What is on the 4th grade math test in Alaska?

Alaska fourth graders take the AK STAR math test, which checks the grade 4 Alaska Mathematics Standards. Expect multi-digit multiplication and division, equivalent and comparing fractions, decimals to hundredths, measurement conversions, and lines and angles. Many items are word problems with more than one step, so practice reading carefully and deciding which operation fits. Testing dates and formats can change, so confirm details with your school or the state’s AK STAR site.

Are there free printable 4th grade math worksheets?

Yes. The Alaska Grade 4 set is free to print for home or school, with one topic per page and an answer key in each PDF. That one-topic layout helps you spot exactly where a gap is. If your child flies through rounding but stalls on fraction comparison, you know where to spend the next week instead of redoing skills that are already solid.

What kind of math problems do 4th graders solve?

Typical problems include 1,326 × 4, 365 ÷ 4 and 7/12 − 2/12. Word problems often take two steps. For example: a sled-dog team runs 28 miles a day for 9 days, then has 40 miles left to reach the finish. How long is the whole race? Students find 28 × 9 = 252, then add 252 + 40 = 292 miles. For 365 ÷ 4, the answer is 91 remainder 1.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• How to multiply multi-digit numbers
• How to divide multi-digit numbers
• How to add and subtract fractions with like denominators
• How to find equivalent fractions
• How to solve multi-step word problems