New Mexico NM-MSSA Grade 4 Math Free Worksheets: Printable Grade 4 Math PDFs with Worked Solutions

Fourth grade is the year math widens out. A third grader is at home in the hundreds; a fourth grader is suddenly asked to read, round, and compare numbers in the hundred-thousands and beyond. Multiplication grows from a memorized fact into a multi-step procedure. Division begins to leave remainders — and a remainder is not just a leftover, it is something a child has to interpret and explain. The work is longer this year because the reasoning underneath it has grown deeper.

Fractions are where the real shift happens. They turn from a slice of something into genuine numbers with rules of their own — finding equivalents, comparing, adding and subtracting with like denominators, working with mixed numbers, multiplying a fraction by a whole number. Decimals to the hundredths arrive. So do angles, area and perimeter, line plots, and multi-step word problems that ask a child to plan before computing. It is a foundational year, and it goes best one piece at a time.

These worksheets were built for that piece-by-piece pace. Whether your child is in Albuquerque, Las Cruces, Rio Rancho, or Santa Fe, each PDF takes a single skill and gives it the room it needs to settle.

What’s on this page

You will find 43 single-skill PDFs here, each aligned to the New Mexico Mathematics Standards at Grade 4. Every file commits to one skill, so a student practicing division with remainders is not also being quizzed on angle types, and a student on equivalent fractions is not detoured into rounding large numbers.

Each PDF opens with a one-page Quick Review that explains the skill in plain language, with a worked example carried all the way through. Twenty practice problems follow, building from straightforward to genuinely challenging, and then 4 word problems that place the skill in a real situation. The last page is a student-facing answer key, written with short, friendly explanations a fourth grader can read on their own 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

A small, steady rhythm beats a big weekend push. Fifteen minutes is plenty for a nine- or ten-year-old, and a calm fifteen minutes does more good than a frustrated hour. Choose one PDF per sitting, stay within reach, and let your child do the thinking while you remain available for the harder spots.

The habit worth keeping is pairing skills that build on one another. Do “Factors of a Number” one day and “Multiples of a Number” the next, and the link between them comes through on its own. The same is true of “Equivalent Fractions” right before “Comparing Fractions,” or “Area of Rectangles” before “Perimeter of Rectangles.” When two worksheets are related, the second one is partly taught before your child picks up a pencil.

Keep the answer key aside until the work is done, then review it together. In a home in Rio Rancho or a classroom in Santa Fe, that review is where the learning settles in — not in a perfect first try, but in clearly seeing why a method works and where a wrong answer slipped off course. Ask your child to talk one problem back to you out loud; explaining a step is how it becomes genuinely theirs.

And there is no need to hurry through the stack. Some weeks one PDF will be the whole of what you get to, and that is completely fine — at nine and ten, steady beats fast every time. A child who reaches spring with a firm grip on place value, multi-digit multiplication, and the foundations of fractions is in a far stronger spot than one who rushed every page without the ideas settling.

A note about NM-MSSA at Grade 4

New Mexico fourth graders take the NM-MSSA — the New Mexico Measures of Student Success and Achievement — in Mathematics in the spring. It is built on the New Mexico Mathematics Standards, which are aligned to the Common Core, so the skills these worksheets practice and the skills the test measures are drawn from the same place.

At Grade 4, NM-MSSA asks for reasoning, not just recall. Students round and compare large whole numbers, carry out multi-digit multiplication and division, reason about factors and multiples, compare and combine fractions, work with decimals to the hundredths, and solve multi-step word problems where the first task is deciding which operation fits. Because each PDF here targets a single standard, the list works as a checklist: if your child is shaky on one skill, you can see it plainly and work just that one rather than reviewing the whole year.

Want everything in one bundle?

If you would rather hand your child one organized program than manage a stack of separate files, the bundle gathers everything in one place.

New Mexico NM-MSSA Grade 4 Math Preparation Bundle — practice-test books, full-length practice tests, and complete answer keys with step-by-step explanations.

A short closing

Fourth-grade math grows quickly, but it grows in a sensible order, each skill resting on the one before it. Bookmark this page, print a single PDF tonight, and let your child begin somewhere small. New Mexico kids do hard things well when the next step is clear — and a worksheet on the kitchen table is about as clear as a next step gets.