Utah RISE Grade 4 Math Free Worksheets: Printable Grade 4 Math Practice, Answers Included

Think of fourth-grade math as the year a student starts building with bigger blocks. In third grade the pieces are small and the structures are short. In fourth grade the numbers run into the hundred-thousands, the multiplication spans several digits, the division leaves remainders that have to be interpreted, and fractions become things you can stack, compare, and combine. The student is still building — but the projects are taller now, and the foundation has to be true.

You can see the new weight in the details. A fourth grader has to know that the 9 in 90,000 is worth ten times the 9 in 9,000, then carry that into multiplying a four-digit number by a single digit without dropping a place. They divide and then ask what the remainder means — is it three children still waiting for a seat, or three dollars left in a pocket? They learn that 1/2 and 5/10 are the same number, that a mixed number like 3 1/4 has a whole part and a fractional part working together, and that a decimal to the hundredths is one more way to write the same value. The blocks are heavier, and they have to be set down carefully.

That is why fourth grade matters so much. A child who gets fluent with multi-digit multiplication and division, who understands factors and multiples, who can reason through a multi-step word problem, who treats equivalent fractions and mixed numbers as familiar territory, who reads decimals to the hundredths, who can classify a triangle or a quadrilateral, and who can measure an angle and find a rectangle’s area — that child has a foundation fifth grade can build on without wobbling. The hard part is rarely one skill alone; it is how many of them arrive in a single year.

These worksheets are built to make that foundation solid. Whether your fourth grader is in Salt Lake City, West Valley City, Provo, or Orem, they offer one skill at a time, clearly explained, with enough practice for it to hold.

What’s on this page

This page gathers 43 single-skill PDFs, each aligned to the Utah Mathematics Standards at Grade 4. Every file is deliberately focused on one skill — so a student working on number patterns is not also being asked about line plots, and a student adding mixed numbers is not distracted by perimeter formulas.

Each PDF starts with a one-page Quick Review: the skill explained in plain words, with one example worked all the way through. Then 20 practice problems arranged from easy to hard, then 4 word problems that put the skill into a real situation. The final page is a student-facing answer key — short, friendly explanations written so a nine- or ten-year-old can read them alone and actually learn.

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

The most useful thing you can do is keep each session small. A fourth grader does best with one PDF and about fifteen minutes — long enough to make progress, short enough that they will say yes to it. Two predictable afternoons a week, and the habit starts carrying itself.

It pays to teach related skills in pairs. Do “Adding Multi-Digit Whole Numbers” and then “Subtracting Multi-Digit Whole Numbers,” with a place value page first if keeping the columns lined up is the sticking point. Run “Equivalent Fractions” before “Comparing Fractions,” so the comparing sits on ground the child already knows — once 2/3 can be rewritten as 8/12, it is plain that it beats 7/12. Carry that into adding fractions with like denominators and then mixed numbers, since a mixed number is just a whole number with a fraction riding along. Put multi-digit division next to a page on interpreting remainders, because the leftover is part of the answer. Pair “Area of Rectangles” with “Perimeter of Rectangles,” one question about filling the inside and one about measuring the edge. When one worksheet feeds the next, each one gets easier.

After a few of those pairs, mix in the geometry and measurement pages — measuring angles, classifying triangles and quadrilaterals, reading decimals to the hundredths. They use a different part of a child’s attention, and the change of pace helps the routine stay fresh. It is also worth circling back: every couple of weeks, have your child redo a few problems from an older worksheet, so you both learn whether the skill held.

And save the answer key for the end. Let your child finish the page, then check their own work and read the explanations for anything they got wrong. Utah families value work done well over work done fast — and that self-check moment, where a kid spots their own slip and understands the fix, is exactly where a worksheet becomes learning.

A note about RISE at Grade 4

Utah fourth graders take the RISE Mathematics assessment — Readiness Improvement Success Empowerment — in the spring. It is built on the Utah Mathematics Standards, the same standards these worksheets are aligned to, so practicing here is practicing for the test itself.

The Grade 4 RISE asks for more than memorized steps. It expects students to solve multi-step word problems, to reason about fractions and place value, to interpret a remainder, to compare decimals to the hundredths, and to choose a method that genuinely fits the question rather than reaching for the first procedure that comes to mind. Because each PDF on this page targets one standard, the spring window becomes a checklist you can really use — see what your child has mastered, see what still needs work, and put your practice time exactly where it will help. A child solid on multiplication but unsure about classifying shapes gains more from two focused weeks on shapes than from a thin review of everything.

A short closing

Fourth-grade math is a tall build, but it goes up one block at a time, one short sitting at a time. The whole structure does not have to rise in a week. Bookmark this page, print a single PDF tonight, and let your fourth grader start somewhere small. Utah kids do hard things well when the next step is clear — and a worksheet on the table is about as clear as a next step gets.

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