District of Columbia DC CAPE Grade 4 Math Free Worksheets: 72 Free Printable Math Practice PDFs

Ask a fourth grader in Petworth what they did in math this week and you might hear a different answer every day — multiplying a three-digit number by a one-digit number on Monday, comparing two fractions with a picture on Wednesday, measuring an angle with a protractor on Friday. That range is the whole story of fourth grade. The arithmetic gets bigger, the numbers get longer, and for the first time the pieces start connecting to each other.

This is the year a student stops thinking of multiplication and division as separate tricks and starts seeing them as two sides of the same idea. It is the year fractions become real quantities you can compare and add, not just shaded circles. Decimals show up. Angles and lines get names. None of it is impossibly hard, but it is a lot, and it builds — which means a shaky week in October can quietly turn into a hard month in February if no one notices.

These worksheets are made for noticing. From Capitol Hill classrooms to kitchen tables in Anacostia, they give a child one skill at a time, with enough practice to know whether it has actually landed.

What’s on this page

You will find 43 single-skill PDFs, each aligned to the District of Columbia Mathematics Standards at Grade 4. Every file does one job. A worksheet on division with remainders is only about division with remainders — it will not also quiz a student on line plots or equivalent fractions. That focus is the point: it lets you see exactly what a child knows and exactly what still needs work.

Each PDF follows the same friendly shape. It opens with a one-page Quick Review that explains the skill in plain words and walks through one example start to finish. Then come 20 practice problems, ordered so the first few feel easy and the last few stretch a little. Four word problems follow, putting the skill into a situation a kid can picture. The last page is a student-facing answer key — not bare answers, but short 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

The trick with nine- and ten-year-olds is to keep each session short and finishable. Fifteen minutes is plenty. A child who knows the worksheet ends soon will lean in; a child staring at an hour of math will not. One PDF, a snack, done.

It helps to work in pairs of related skills, because the second one then feels like a continuation instead of a brand-new thing. Try “Adding Multi-Digit Whole Numbers” one afternoon and “Subtracting Multi-Digit Whole Numbers” the next. Do “Equivalent Fractions,” then “Comparing Fractions” — the first quietly teaches the second. “Area of Rectangles” pairs naturally with “Perimeter of Rectangles,” since kids constantly mix the two up and seeing them back to back sorts it out.

Washington D.C. is a small place with a lot going on, and math practice has to fit around everything else — the Metro ride, the after-school program, the homework that already came home. Print one PDF the night before so it is ready. Save the answer key for after the work is done, and let your child be the one to check it. That checking step, reading why an answer worked, is where a worksheet turns into actual learning.

A rough page, when it happens, is worth treating gently. It is not a failure — it is a signal pointing straight at the one skill that needs a slower second pass. Sit down together, walk through the Quick Review example out loud, and let your child try the practice problems again the next day. And save the four word problems at the end for a moment when your child is fresh rather than worn out, since turning a sentence into a number sentence asks for its own kind of thinking. Fourth graders bounce back quickly when the reset feels calm instead of discouraging.

A note about DC CAPE at Grade 4

District of Columbia students take the DC Comprehensive Assessment of Performance and Equity — Mathematics, known as DC CAPE, in the spring. It is built on the District of Columbia Mathematics Standards, which are Common Core-aligned. Because these worksheets come from the same set of standards, the skills your child practices here are the same skills the test is checking.

At Grade 4, DC CAPE asks students to do more than recall facts. It asks them to multiply and divide multi-digit numbers, reason about fractions and decimals, solve multi-step word problems, and explain geometry and measurement thinking. Since every PDF on this page targets a single standard, you can use the spring window as a checklist — work through the topics, notice which ones come easily and which ones do not, and spend your practice time only where it is actually needed.

A short closing

Fourth-grade math is a big year, but it moves one skill at a time, and so can your child. Bookmark this page, print a single PDF tonight, and start somewhere small — a few minutes of place value or one set of fraction comparisons. Kids across the District 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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