The North Carolina EOG Grade 5 Math Worksheet Pack — 49 Free Printable Pages with Solutions

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 just 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 Charlotte, Raleigh, Greensboro, or Durham, 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 North Carolina 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 EOG at Grade 5

North Carolina students take the North Carolina End-of-Grade (EOG) Mathematics Test in the spring. EOG is built on the North Carolina 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, EOG 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. North Carolina kids handle hard things well when the next step is clear, and a worksheet on the table is about as clear as it gets.

Best Bundle to Ace the North Carolina EOG Grade 5 Math Test

Want the fastest path through North Carolina EOG Grade 5 math? This bundle pulls it together, practice-test books, full-length practice tests, and complete step-by-step answer keys, instant PDF download.

North Carolina EOG Grade 5 Math Preparation Bundle

Download

$57.99 Original price was: $57.99.$49.99Current price is: $49.99.

North Carolina 5th Grade Math Standards at a Glance

North Carolina’s Standard Course of Study for Mathematics groups grade 5 into five domains. Here is what each one asks for and where to practice it on this page.

One North Carolina detail to know: the state defines a trapezoid as a quadrilateral with exactly one pair of parallel sides. Some books use a broader definition, so follow the NC one when classifying shapes for school.

A quick volume check, the kind of item 5th graders see: a box 4 cm long, 3 cm wide and 2 cm high holds 4 × 3 × 2 = 24 one-centimeter cubes, so its volume is 24 cm³.

Frequently Asked Questions

What are the North Carolina 5th grade math standards?

North Carolina’s grade 5 math standards are organized into operations and algebraic thinking, number and operations in base ten, fractions, measurement and data, and geometry. Fifth graders work with decimals to the thousandths, multiply and divide multi-digit numbers and decimals, add and subtract unlike fractions, find volume and graph points on a coordinate plane.

What is on the 5th grade math EOG?

The North Carolina 5th grade math EOG is given in the spring and covers the grade 5 standards, with many questions on fractions, decimals and multi-step problems. One sample item: a 2.4-liter jug of juice is shared equally among 6 cups, so each cup gets 2.4 ÷ 6 = 0.4 liter. Your school will share the exact testing dates and format.

Are there released 5th grade math EOG tests?

Yes. The North Carolina Department of Public Instruction has published released EOG test forms, which show real question styles and come with answer keys. Use one as a timed practice test, then match each missed question to a single-skill worksheet, such as dividing decimals or adding fractions with different denominators, before trying another released form.

What is NC.5.OA.2?

NC.5.OA.2 is a North Carolina grade 5 standard about writing, explaining and evaluating numerical expressions using the four operations, including expressions with parentheses. For example, “add 8 and 7, then multiply by 2” becomes 2 × (8 + 7), which equals 2 × 15 = 30. Students should also see that 2 × (8 + 7) is twice as large as 8 + 7 without calculating.

Is there a 5th grade EOG practice test PDF?

Yes. Released North Carolina EOG forms are available as PDFs, and the 49 printable grade 5 worksheets here add focused PDF practice with a Quick Review, practice problems, word problems and an answer key. Mix the two: take a practice test to find weak spots, then spend a week on the matching worksheets.

Are there dividing decimals by whole numbers 5th grade worksheets?

Yes. The decimal worksheets include dividing decimals by whole numbers and by other decimals. Keep the decimal point directly above its spot in the dividend: 7.2 ÷ 3 = 2.4, because 3 × 2.4 = 7.2. When dividing by a decimal, shift both decimal points the same number of places, so 4.5 ÷ 0.5 becomes 45 ÷ 5 = 9.