ACT Aspire Grade 4 Math Free Worksheets: Free Printable Practice Worksheets with Worked Keys

Fourth grade is where math starts to feel like it has weight to it. The problems run longer, the numbers run bigger, and the reasoning runs deeper. A student who was comfortable in the hundreds is now reading, rounding, and comparing numbers in the hundred-thousands. Multiplication has grown into a two- and three-digit procedure, and into a way of comparing quantities, the idea that one number can be a certain number of times another. Division now leaves remainders, and a fourth grader has to decide what those remainders mean in the problem at hand.

Fractions carry much of the year. Students learn to find equivalent fractions, to compare fractions with reasoning rather than a guess, to add and subtract fractions that share a denominator, and to multiply a fraction by a whole number. Decimals to hundredths follow close behind, linked back to fractions. Then come measurement and data, angles measured in degrees, and the geometry of lines, rays, and figures. For a nine- or ten-year-old, that is a full and demanding year, but it is made of separate, learnable pieces, and these worksheets take it exactly that way.

Each PDF gives a student one clear skill, with enough practice to make it stick and not so much that it becomes a slog.

What’s on this page

You will find 43 single-skill PDFs, each aligned to Grade 4 mathematics standards, the ACT College and Career Readiness Standards that the ACT Aspire assessment is built on, themselves aligned to the Common Core. Every file stays on one skill and nothing else, so a student practicing multi-digit multiplication is not also being quizzed on line plots, and a student working on comparing fractions is not pulled sideways into angles.

Each PDF opens with a one-page Quick Review that explains the skill in plain words and walks through a worked example from start to finish. Twenty practice problems follow, building gently from easy to harder, and then 4 word problems set the skill in a real context. The last page is a student-facing answer key, written so a fourth grader can check their own work alone and understand where a wrong answer came from, not just that it did.

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

Keep the sittings short and regular. Fifteen minutes suits a fourth grader well; past that, you tend to be managing tiredness rather than teaching math. Pick a single PDF, sit close enough to help, and let your child carry the work while you stay on call for the stuck spots.

Running connected skills back to back helps a great deal, especially with a standards-based test like ACT Aspire, where the skills are designed to build on each other. Do “Adding Multi-Digit Whole Numbers” one afternoon and “Subtracting Multi-Digit Whole Numbers” the next, and the second feels like a small step rather than a new task. The same works for “Equivalent Fractions” before “Comparing Fractions,” or “Area of Rectangles” right before “Perimeter of Rectangles.” When skills come in pairs, the link between them does part of the teaching.

Keep the answer key aside until the work is done, then go through it together. That review, talking through why the right answer is right, is where the learning truly settles, far more than in a perfect first attempt.

A note about ACT Aspire at Grade 4

ACT Aspire is a standards-based assessment system used by member states and districts, with the mathematics test typically given in the spring. It is built on the ACT College and Career Readiness Standards, which are aligned to the Common Core State Standards, so the skills practiced on these worksheets and the skills measured on the test come from the same place.

The Grade 4 ACT Aspire mathematics test asks students to do more than recall facts. It expects them to round and compare large numbers, carry out multi-digit multiplication and division, reason about factors and multiples, compare and combine fractions, work with decimals to hundredths, and solve multi-step word problems where choosing the right operation is much of the work. Because each PDF here targets a single standard, the full set works as a checklist: spot the shaky skills, work just those, and leave the solid ones alone.

Want everything in one bundle?

If a single organized program sounds more useful than a folder of loose files, the bundle pulls everything together in sequence.

ACT Aspire 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 is a long stretch of road, but it is paved one skill at a time, and a child can keep pace with it that way. Bookmark this page, print a single PDF tonight, and let your student start somewhere small. 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.

Recommended EffortlessMath Books

For a workbook that pairs neatly with these printable practice pages, Mastering Grade 4 Math walks your child through every fourth-grade topic with clear examples and lots of try-it-yourself problems. For extra word-problem practice (the part many fourth graders find hardest), see Mastering Grade 4 Math Word Problems.

Mastering Grade 4 Math The Ultimate Step by Step Guide to Acing 4th Grade Math

Download

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Frequently Asked Questions

What is ACT Aspire?

ACT Aspire is a standards-based assessment from ACT that measures student progress in English, math, reading, science and writing for grades 3 through 10. At grade 4, the math test covers operations, base-ten arithmetic, fractions, measurement and geometry, with an emphasis on multi-step reasoning. Which states and districts use it changes over time, so check with your school to confirm your child takes Aspire.

What is a good ACT Aspire score?

A good ACT Aspire score is one that reaches the Ready or Exceeding readiness level, which means your child met or passed ACT’s benchmark for that grade and subject. The benchmark score is different for each grade and subject, so compare your child’s math score to the benchmark printed on their score report. Strand results on the report show which skills, such as fractions or measurement, need more work.

How do I study for a 4th grade math test?

Start a week or two before the test. List the topics the test covers, then do one short worksheet per topic, checking each with the answer key. On the last few days, mix problems from different topics so your child practices choosing the right operation. A fourth grader preparing for ACT Aspire benefits from asking, before solving, about how big the answer should be.

How can my child get better at 4th grade math?

Steady, short practice is the most reliable way. Spend two minutes a day on multiplication facts, then 15 minutes on one skill, such as long division or comparing fractions. Have your child estimate first: 49 × 21 should be close to 50 × 20 = 1,000, and the exact answer is 1,029. Estimating catches many errors before they happen.

How do you tutor a 4th grader in math?

Begin by finding the gap: give a short worksheet and watch where your student slows down. Then teach one step at a time, have them try a similar problem alone, and ask them to explain their thinking aloud. Worked answer keys help here, because you can compare each step of their work with the model and pinpoint exactly where a long division or fraction problem went wrong.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• How to multiply multi-digit numbers
• How to divide multi-digit numbers
• How to add and subtract fractions with like denominators
• How to find equivalent fractions
• How to solve multi-step word problems