49 Printable Arizona AASA Grade 5 Math Worksheets — Free Download with Step-by-Step Keys

Fifth grade is where math quietly shifts. A student who has spent years adding, subtracting, and memorizing facts is now asked to make sense of decimals to the thousandths, find common denominators on the fly, multiply and divide fractions, measure volume with stacked unit cubes, and plot ordered pairs on a coordinate plane. None of those moves are arithmetic, they are ideas about numbers, and they reward steady, single-skill practice more than long packets.

These 49 worksheets were built to make fifth-grade math walkable, one skill at a time. Whether your fifth grader is in Phoenix, Tucson, Mesa, or Flagstaff, each PDF gives them a single idea, a clear example, and enough practice to make it feel ordinary.

What’s on this page

Forty-nine single-skill PDFs, each aligned to the Arizona Mathematics Standards (Common Core-aligned) at Grade 5. Every file does one job. A student practicing decimal division is not also being quizzed on volume, and a student working through line plots is not getting pulled sideways into fractions. One skill, one page of practice, one clear focus.

Each PDF opens with a one-page Quick Review that explains the skill in plain language and walks through a fully worked example. Then come around 14-17 practice problems that build from easy to genuinely challenging, followed by word problems that put the skill in a real situation. The last page is a student-facing answer key, not bare answers, but short, friendly explanations a fifth grader can read alone and actually learn from.

Place Value and Number Sense

• Understanding Place Value, [5.NBT.A.1] name the value of every digit in a multi-digit number
• Multiplying and Dividing by Powers of 10, [5.NBT.A.2] shift the decimal point by 10, 100, or 1,000
• Reading and Writing Decimals to Thousandths, [5.NBT.A.3.A] say and write decimals out to the thousandths place
• Comparing and Ordering Decimals, [5.NBT.A.3.B] line up the place values to compare and order decimals
• Rounding Decimals, [5.NBT.A.4] round to the nearest whole, tenth, hundredth, or thousandth

Operations with Whole Numbers

• Multiplying Multi-Digit Whole Numbers, [5.NBT.B.5] the standard algorithm for multiplying large whole numbers
• Dividing by One-Digit Divisors, [5.NBT.B.6] long division with single-digit divisors
• Dividing by Two-Digit Divisors, [5.NBT.B.6] long division when the divisor has two digits
• Word Problems: Multiplication and Division, [5.NBT.B.6] turn a real situation into a multiplication or division problem

Numerical Expressions and Patterns

• Order of Operations, [5.OA.A.1] PEMDAS, the order that makes every expression have one answer
• Parentheses, Brackets, and Braces, [5.OA.A.1] grouping symbols and how they change the order of work
• Writing and Interpreting Numerical Expressions, [5.OA.A.2] turn a sentence into an expression, and read one back
• Prime Factorization, [4.OA.B.4] break a number down into a product of primes
• Numerical Patterns and Relationships, [5.OA.B.3] spot the rule and continue the pattern

Adding and Subtracting Fractions

• Finding Common Denominators, [5.NF.A.1] rewrite fractions so they share a denominator
• Adding Fractions with Unlike Denominators, [5.NF.A.1] find a common denominator, then add
• Subtracting Fractions with Unlike Denominators, [5.NF.A.1] find a common denominator, then subtract
• Adding and Subtracting Mixed Numbers, [5.NF.A.1] work with the whole and fraction parts, including regrouping
• Estimating with Benchmark Fractions, [5.NF.A.2] use 0, 1/2, and 1 to estimate a fraction sum or difference
• Word Problems: Adding and Subtracting Fractions, [5.NF.A.2] fraction word problems with realistic numbers

Multiplying Fractions

• Fractions as Division, [5.NF.B.3] a fraction is the numerator divided by the denominator
• Multiplying Fractions by Whole Numbers, [5.NF.B.4.A] scale a fraction up using a whole-number multiplier
• Multiplying Fractions by Fractions, [5.NF.B.4.A] multiply across the numerators and across the denominators
• Multiplying Mixed Numbers, [5.NF.B.4] rename as improper fractions, then multiply
• Multiplication as Scaling (Resizing), [5.NF.B.5] multiplying by less than 1 makes a number smaller, and why
• Word Problems: Multiplying Fractions, [5.NF.B.6] fraction-of-a-whole stories you have to set up

Dividing with Unit Fractions

• Dividing Unit Fractions by Whole Numbers, [5.NF.B.7.A] split a unit fraction into a whole number of equal pieces
• Dividing Whole Numbers by Unit Fractions, [5.NF.B.7.B] how many halves, thirds, or fourths fit in a whole number
• Word Problems: Dividing with Unit Fractions, [5.NF.B.7.C] set up a division word problem with unit fractions

Decimal Operations

• Adding Decimals, [5.NBT.B.7] line up the decimal points and add by place value
• Subtracting Decimals, [5.NBT.B.7] line up the decimal points and subtract, regrouping when needed
• Multiplying Decimals, [5.NBT.B.7] multiply like whole numbers, then count decimal places
• Dividing Decimals by Whole Numbers, [5.NBT.B.7] long division when the dividend has a decimal point
• Dividing Decimals by Decimals, [5.NBT.B.7] shift both decimals so the divisor becomes a whole number
• Word Problems with Decimals, [5.NBT.B.7] money, measurement, and other decimal word problems

Measurement and Data

• Converting Customary Units of Length, [5.MD.A.1] inches, feet, yards, miles, and how to switch between them
• Converting Customary Units of Weight and Capacity, [5.MD.A.1] ounces, pounds, cups, pints, quarts, gallons
• Converting Metric Units, [5.MD.A.1] millimeters, centimeters, meters, kilometers, same idea for grams and liters
• Line Plots with Fractions, [5.MD.B.2] graph fractional measurements and read the data

Volume

• Understanding Volume and Unit Cubes, [5.MD.C.3] what volume measures, and how unit cubes fill a solid
• Measuring Volume by Counting Unit Cubes, [5.MD.C.4] count the cubes in layers to find a solid’s volume
• Volume of Rectangular Prisms, [5.MD.C.5.B] length × width × height, and base × height
• Additive Volume (Composite Figures), [5.MD.C.5.C] break a complicated solid into prisms and add the volumes
• Word Problems with Volume, [5.MD.C.5] real-world volume problems with boxes, tanks, and rooms

Geometry and Coordinate Graphing

• Understanding the Coordinate Plane, [5.G.A.1] the x-axis, the y-axis, and how an ordered pair locates a point
• Graphing Points in the First Quadrant, [5.G.A.2] plot points and read coordinates in the first quadrant
• Properties of Two-Dimensional Figures, [5.G.B.3] name the properties that make a shape a shape
• Classifying Two-Dimensional Figures, [5.G.B.4] sort polygons into categories and subcategories
• Graphing Patterns on the Coordinate Plane, [5.OA.B.3] graph two related patterns and compare the lines

How to use these worksheets at home

The trick with fifth-grade math is sequence. Skills here come in families, and a worksheet lands much softer when the one before it set it up. Try Finding Common Denominators before Adding Fractions with Unlike Denominators, once a student is fluent at making the denominators match, the addition page feels like the same problem with one more step. Do Understanding Volume and Unit Cubes before Volume of Rectangular Prisms; the formula stops feeling like a rule to memorize and starts feeling like a description of what’s already happening in the box.

Keep the sessions short. Most of these PDFs take fifteen or twenty minutes, which is about as long as a fifth grader’s full attention lasts on a school night. Two afternoons a week, done steadily, will move a student further than a long Saturday session that nobody enjoys. Let them keep a pencil and scratch paper handy and resist the urge to correct mid-problem, the answer key is there for after.

One more habit worth building: when a worksheet goes well, do the next skill in the same family the following session, while the idea is still warm. When one goes badly, don’t pile on, set it aside and come back to that single page in a few days. A skill that felt impossible on Tuesday often feels merely tricky by Friday, and a fifth grader who experiences that shift a few times starts to trust the process. That trust is worth as much as any single skill on the list.

A note about AASA at Grade 5

Arizona students take Arizona’s Academic Standards Assessment, Mathematics in spring. AASA is built on the Arizona Mathematics Standards (Common Core-aligned), the same framework these worksheets are aligned to, so the skills your student practices here and the skills the test asks about come from one source.

At Grade 5, AASA expects students to read and write decimals to the thousandths, line up the decimal point to add and subtract, multiply and divide multi-digit numbers, find common denominators and operate on fractions (including unit-fraction division), convert measurement units, plot data on line plots, calculate the volume of rectangular prisms (including composite figures), and plot points in the first quadrant of the coordinate plane. Because each PDF on this page targets exactly one of those skills, the testing window doubles as a checklist. If your student is solid on volume but shaky on dividing fractions, you can see it plainly and spend your time only where it is needed.

A short closing

Fifth-grade math is a year of new ideas, but it is not a year a student has to face all at once. Bookmark this page, print one PDF tonight, and let your fifth grader start with a single skill. Arizona kids handle hard things well when the next step is clear, and a worksheet on the table is about as clear as it gets.

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Recommended EffortlessMath Books

For a workbook to pair with these printable practice pages, Mastering Grade 5 Math covers every fifth-grade topic with worked examples and practice sets. For the multi-step word problems and fraction work that fifth graders find hardest, see Mastering Grade 5 Math Word Problems.

What Arizona 5th Graders Learn in Math

The Arizona Mathematics Standards were adopted in 2016, and the state posted an updated Grade 5 document in January 2025. The content is organized into five domains. Here is what each one asks of a fifth grader and where to practice it on this page.

Arizona also marks some standards as Essential Standards. These get a larger share of questions on the AASA, although every standard can still appear. At Grade 5 they are 5.NBT.A.1, 5.NBT.B.7, 5.NF.A.2, 5.NF.B.6, 5.NF.B.7 and 5.MD.B.2, so place value, decimal operations, fraction word problems and line plots deserve extra practice.

How the AASA Grade 5 Math Test Is Weighted

The state’s item specifications give a range for how much of the test comes from each area. Use this to decide where to spend practice time.

Base Ten work alone is about a third of the test, and fractions are another third. That means decimals, place value and fraction operations make up most of the score. The test is computer-based, untimed, and has no calculator, so students should be comfortable doing multi-digit work by hand.

Frequently Asked Questions

What topics are covered in these Arizona Grade 5 worksheets?

Place value to thousandths, multi-digit multiplication and division, adding and subtracting fractions with unlike denominators, multiplying and dividing fractions, decimal operations to hundredths, volume of rectangular prisms, the coordinate plane (first quadrant), numerical expressions, measurement conversions, and multi-step word problems.

Is a calculator allowed on AASA grade 5 math?

No. Arizona doesn’t allow calculators on the grade-5 AASA math test. By grade 5 the test expects fluent multi-digit arithmetic and fraction work by hand, so practice that way from the start.

Are these worksheets free?

Yes – every worksheet is a free PDF. No login, no email collection, no paid tier. Print at home or for the classroom as many times as you need.

Are these aligned with the Arizona Mathematics Standards?

Yes. Each worksheet maps to a grade-5 expectation in the Arizona Mathematics Standards – operations and algebraic thinking, base-ten, fractions, measurement and data, and geometry.

How often should my fifth grader practice?

20-30 minutes a day, four or five days a week, fits most fifth graders. In the 6-8 weeks before AASA, add one longer mixed-review page each weekend so your child gets used to switching topics under time pressure.

What if my child gets stuck?

Pause and work one problem together. If a topic is too hard, back up to the prerequisite skill – before fraction division, double-check fraction multiplication and “reciprocal.” The missing step is almost always there.

Is there an answer key?

Yes – every worksheet PDF includes a step-by-step answer key. Walk through the steps with your child so they see exactly where the work went wrong. The reasoning is what transfers to the next problem.

How can we prep for the Arizona AASA grade 5 math test?

Use these single-skill worksheets to build the basics, then take one full-length timed practice test about three weeks out. Spend the final two weeks on the two weakest topics from that test – usually fraction operations, decimal operations, and multi-step word problems.

Any tips for Arizona parents?

Make sure multiplication and division facts are completely automatic. Read every word problem aloud twice. Ask your child to estimate before calculating – decimal-place errors are the most common point-loss on AASA, and estimation catches them.

Where can we find more grade 5 practice?

EffortlessMath has more grade 5 worksheets by topic, the Mastering Grade 5 Math workbook, and a Grade 5 Math Word Problems book. The Related Lessons section below links to step-by-step explanations of the biggest grade-5 topics.

What are the 5th grade math standards in Arizona?

Arizona’s Grade 5 math standards cover five domains: Operations and Algebraic Thinking, Number and Operations in Base Ten, Fractions, Measurement and Data, and Geometry. Key skills include decimals to the thousandths, adding and multiplying fractions, dividing with unit fractions, volume of rectangular prisms, and plotting points in the first quadrant. They also include eight Standards for Mathematical Practice.

Were the Arizona math standards updated in 2025?

Yes, in a limited way. The Arizona Department of Education posted an updated Grade 5 standards document in January 2025. The standards themselves were adopted in 2016. The update adds Essential Standards, which are marked standards that get a larger share of questions on the AASA starting with the 2025-2026 school year.

Which Grade 5 standards matter most on the AASA?

Arizona’s Essential Standards for Grade 5 are 5.NBT.A.1 (place value), 5.NBT.B.7 (decimal operations), 5.NF.A.2 (fraction addition and subtraction word problems), 5.NF.B.6 (multiplying fractions in real problems), 5.NF.B.7 (dividing with unit fractions) and 5.MD.B.2 (line plots). They receive more questions, but all standards can still be tested.

Is the AASA Grade 5 math test timed?

No. Arizona states that AASA writing, reading and math test units are untimed. Grade 5 math is given in two units, usually on a computer, and calculators are not allowed. Students can take the time they need, so steady accuracy matters more than speed.

When do 5th graders take the AASA math test?

AASA is a spring test. For the 2026-2027 school year, Arizona lists a testing window of April 12 to May 7, 2027 for Grades 3 to 8 math. Your school sets the exact days inside that window, so check with your child’s teacher.

Related EffortlessMath Lessons

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

• How to multiply and divide decimals
• Adding and subtracting fractions with unlike denominators
• How to find the volume of a rectangular prism
• Order of operations (PEMDAS)
• How to solve word problems

Related free worksheets: free Grade 5 math worksheets with answers