4th Grade Math Worksheets for Arizona (AASA): 43 Free Printable PDFs

Ask a fourth grader what changed about math this year and you might hear “the numbers got huge.” They are not wrong. This is the year place value pushes out to the hundred-thousands and the million, the year multiplication turns into a two- and three-step procedure, the year division starts leaving a remainder that has to mean something. It is also the year fractions become real numbers, things you compare, order, and add, instead of just slices on a page.

That is genuine intellectual weight for a nine- or ten-year-old to carry. But fourth-grade math has a quiet advantage: it is sequential. Each idea sits on the one before it, and a student who practices each skill until it is steady tends to find that the whole structure holds.

It is also a year that pays forward. The multi-digit multiplication and division a student drills now is exactly what fifth grade leans on for fractions, area, and longer word problems. The fraction work this year is the groundwork for decimals, ratios, and eventually algebra. None of this practice is for fourth grade alone. It is the base that every later math year is built on, which is a good reason to take it slow and get it right.

These worksheets exist to support exactly that. Whether your child is doing homework in Phoenix, Tucson, Mesa, or Flagstaff, each one delivers a single skill, clearly explained, with enough practice to make it dependable.

What’s on this page

This page holds 43 single-skill PDFs, each aligned to the Arizona Mathematics Standards at Grade 4. Each file is deliberately narrow, one skill per worksheet, so a student practicing factors and multiples is not also being tested on fraction addition, and a student on long division is not sidetracked by quadrilaterals.

Every PDF starts with a one-page Quick Review that lays out the skill in plain language and works through one full example. Twenty practice problems follow, arranged easy to hard, and then 4 word problems that put the skill into a real context. The closing page is a student-facing answer key, with short explanations a fourth grader can read independently 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

Keep it small and keep it regular. That is the whole method. A nine-year-old does focused work for about fifteen minutes before attention frays, so plan for one PDF per sitting and stop while it is still going well. Two or three short afternoons a week will carry a student a long way over a school year.

Pairing related skills makes the practice feel connected rather than scattered. Work “Adding Multi-Digit Whole Numbers,” then “Subtracting Multi-Digit Whole Numbers”, the second borrows everything the first set up. The same is true of “Equivalent Fractions” before “Comparing Fractions,” or “Area of Rectangles” right before “Perimeter of Rectangles.” When two worksheets clearly belong together, the first one teaches half the second.

Keep the answer key aside until the work is done, then review it side by side with your child. At a table in Tucson or in a classroom in Flagstaff, that conversation, why this answer is right, where that one slipped, is the part that actually builds understanding.

It also helps to treat a rough worksheet calmly. A page full of crossed-out attempts on long division usually means one step, the estimating, or knowing what to do with the remainder, needs another look, not that division has become a lost cause. Because each PDF stays on a single skill, that exact stumbling point is easy to see. Give your child the same sheet again a few days later; the repeat run almost always goes better, and that visible improvement teaches its own quiet lesson about effort.

A note about AASA at Grade 4

Arizona fourth graders take Arizona’s Academic Standards Assessment (AASA) in Mathematics in the spring. It is built on the Arizona Mathematics Standards, which are aligned to the Common Core, so the skills these worksheets practice and the skills the test measures share the same foundation.

The Grade 4 AASA looks for reasoning, not just answers. Students are asked to round and compare large numbers, carry out multi-digit multiplication and division with remainders, work with factors, multiples, and prime and composite numbers, compare and add fractions, read and compare decimals, and solve multi-step word problems where the first job is choosing the right operation. Because each PDF here targets one standard, the collection doubles as a checklist, spot the shaky skill, work just that PDF, and leave the solid ones be.

A short closing

Fourth-grade math gets bigger, but it never gets disorganized, every skill has its place in the sequence. Bookmark this page, print one PDF tonight, and let your child begin somewhere small. Arizona kids rise to hard work when the next step is laid out plainly, and a worksheet on the table does 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 is covered in 4th grade math in Arizona?

Arizona fourth graders work with place value up to one million, multiply multi-digit numbers, and divide with remainders. Fractions take up much of the year: finding equivalent fractions, comparing them, adding and subtracting with like denominators, and multiplying a fraction by a whole number. Students also connect fractions to decimals (45/100 = 0.45), convert measurement units, and classify angles as acute, right or obtuse.

What are the Arizona 4th grade math standards?

Arizona uses the Arizona Mathematics Standards, adopted in 2016, and AASA tests these standards. At grade 4 they are organized into domains for operations and algebraic thinking, base-ten numbers, fractions, measurement and data, and geometry. The Arizona Department of Education posts the full grade 4 standards, which can help when you want to see the exact skill behind a homework assignment.

What is on the Arizona 4th grade math test?

Arizona fourth graders take AASA, the state test that replaced AzM2. The math section checks the grade 4 Arizona Mathematics Standards, so expect multi-digit multiplication and division, fraction comparison and addition, decimals, measurement and geometry. Word problems that need two or three steps show up often. For the current testing window and any sample tests, check the Arizona Department of Education’s assessment page or ask your child’s school.

Where can I find 4th grade math worksheets?

The 43 Arizona Grade 4 PDFs here are free to print and each focuses on one skill, with a step-by-step answer key. Use them alongside what your child is learning at school: if the class is on long division this month, print the division pages first, then mix in a review page on equivalent fractions once a week so earlier skills stay fresh.

What are examples of 4th grade math problems?

Fourth graders solve problems like 24 × 36 = 864 and 3/5 + 1/5 = 4/5. A common type asks students to make sense of a remainder. For example: 125 students are going on a field trip to the Desert Botanical Garden, and each bus holds 30. How many buses are needed? 125 ÷ 30 = 4 remainder 5, so they need 5 buses, because the last 5 students still need a seat.

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

Related free worksheets: Arizona AASA grade 3 math · Arizona AASA grade 5 math · 4th grade math worksheets