Kentucky KSA Grade 4 Math Free Worksheets: Printable Standards-Based Practice, No Signup

Ask a third grader what 6 times 7 is and you want a fast, automatic answer. Ask a fourth grader to multiply 264 by 38, and you are asking for something different — a process, held in order, carried out patiently across several lines. Fourth grade is the year math stops being a set of facts to recall and becomes a set of procedures to manage. The facts still matter; a child who is shaky on 6 times 7 will stumble inside the bigger problem. But the new work is keeping all the pieces moving without dropping one.

That shift runs through the whole year. Students multiply and divide multi-digit numbers, make sense of remainders, and discover factors and multiples hiding inside numbers they thought they knew. They do real fraction work — building equivalent fractions, comparing them, adding and subtracting ones with like denominators, working with mixed numbers, and multiplying a fraction by a whole number. They meet decimals to the hundredths, measure and classify angles, tell area from perimeter, and reason their way through word problems that have more than one moving part.

It can look like a daunting pile when you list it out. The reassuring part is that none of it has to be learned all at once. Each skill is small on its own, and most of them connect — what a child learns about place value shows up again in multiplication, what they learn about equivalent fractions shows up again in comparing them. Practiced one at a time, the pile becomes a sequence, and a sequence is something a nine-year-old can walk.

Whether home is Louisville, Lexington, Bowling Green, or Owensboro — or a county road somewhere between them — these worksheets give a fourth grader one skill at a time, with enough practice behind it to make the skill stick.

What’s on this page

This page holds 43 single-skill PDFs, each aligned to the Kentucky Mathematics Standards at Grade 4. Every file does one job. A student working on dividing with remainders is not also being tested on equivalent fractions; a student on line plots is not distracted by angle measurement. One skill, full attention.

Each PDF opens with a one-page Quick Review — the skill explained simply, with one example worked all the way through. After that come 20 practice problems that climb from easy to hard, then 4 word problems that put the skill to work in a real setting. The final page is a student-facing answer key written for the student: short, friendly explanations they can read alone and actually understand.

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

You do not need a grand plan. You need a small, repeatable habit. Pick a couple of afternoons a week, treat one PDF as one sitting, and keep it to about fifteen minutes. A fourth grader will give you fifteen focused minutes far more reliably than an open-ended hour.

It helps to run related skills in sequence, so each page rests on the one before it. “Multiplying by One-Digit Numbers” before “Multiplying by Two-Digit Numbers” lets the harder one feel like a natural extension rather than a brand-new task. Place value comes first of all — a child who can name the value of each digit in 3,408 is ready for both multiplication and the rounding that word problems lean on. Pair “Multiplying by Two-Digit Numbers” with “Dividing with Remainders” in the same week, because once a child sees division as multiplication undone, the leftover stops being mysterious and becomes simply the part that would not divide evenly.

Fractions reward the same careful ordering. “Equivalent Fractions” before “Comparing Fractions” gives a student the tool they need before they need it, and “Mixed Numbers” fits naturally just after — a mixed number is only a whole number and a fraction keeping company. Save decimals for when fractions feel steady, then let “Decimals to the Hundredths” land next to fraction work so a child notices that 0.5 and one-half are two names for the same spot on the number line. In geometry, “Area of Rectangles” then “Perimeter of Rectangles” makes the two ideas stand apart instead of blurring together, and “Measuring Angles” paired with “Classifying Shapes” turns shape names into something a child can reason out instead of memorize.

Once the page is done, hand over the answer key and step back. Let your student check their own work and read the explanation for anything that went wrong. In a kitchen in Lexington or at a table after dinner anywhere in Kentucky, that quiet self-check is where a worksheet turns into actual learning. And every few weeks, reach back for a worksheet your child already finished and have them work a few problems again — a skill left untouched since autumn can quietly slip, and a quick check catches it in time.

A note about KSA at Grade 4

Kentucky students take the Kentucky Summative Assessment (KSA) in Mathematics in the spring. It is built on the Kentucky Mathematics Standards, so the skills practiced on these worksheets line up directly with the skills the state will ask about.

The Grade 4 KSA looks for reasoning, not just right answers. It asks students to explain place-value thinking, pick the right operations for a multi-step problem, compare fractions and back up the comparison, interpret a remainder in context, and handle decimals, angles, area, perimeter, and the sorting of shapes. Many questions ask a child to do something and then say why — and that habit of explaining grows out of practice that was understood, not just completed. Because each PDF here is tied to a single standard, the spring window becomes a checklist you can actually use — see what is shaky, work just those skills, and leave the solid ground alone.

A short closing

Fourth-grade math comes together gradually — one procedure understood, one short afternoon at a time. There is no rush and no shortcut; there is only the next page, and then the one after it, until the skills that felt new in September feel ordinary by spring. Bookmark this page, print one PDF tonight, and let your student start small. Kentucky fourth graders do steady, careful work well when the next step is clear, and a worksheet on the table makes it clear.

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