20+ Math Problems for 4th Graders with Step-by-Step Answers
In this blog, I share 20+ math problems for 4th graders with step-by-step answers, organized by topic, following the US Common Core State Standards.
📕 Last Updated: October 2026
Here are 29 4th grade math problems with step-by-step answers, grouped by the topics your child studies this year: place value, multiplication, long division, factors, fractions, decimals, angles, measurement, and multi-step word problems.
Each section starts with a short explanation, works through solved problems, and ends with practice questions your child can answer and check instantly. The problems follow the Common Core standards and the way Cuemath tutors teach 4th grade: see it, solve it, then explain it.
| Key Takeaways | |
|---|---|
| What 4th graders learn | Multi-digit multiplication, long division with remainders, fraction equivalence, decimals to hundredths, angles and unit conversions |
| Hardest topics | Long division (what to do with a remainder) and comparing fractions with different denominators |
| How to use this page | Let your child try each problem first, then open the steps together |
| Free extras | 30+ instant-check practice questions, a 10-question quick test and printable worksheets |
- 4th Grade Math Topics (Common Core)
- Place Value and Rounding
- Multi-Digit Multiplication
- Long Division
- Factors, Multiples, and Patterns
- Fractions
- Decimals
- Geometry and Angles
- Measurement and Data
- Multi-Step Word Problems
- Where 4th Graders Usually Get Stuck
- Quick 4th Grade Math Test (10 Questions)
- Free 4th Grade Math Worksheets
- How Cuemath Helps 4th Graders Who Get Stuck
- Frequently Asked Questions
- Sources
4th Grade Math Topics (Common Core)
The Common Core splits 4th grade math into five domains. 4th grade is a transition year: children move from basic arithmetic to multi-step reasoning, fraction equivalence, and measuring angles.
| Domain | What 4th graders learn | Standards |
|---|---|---|
| Operations & Algebraic Thinking | Multi-step word problems, factors and multiples, prime and composite numbers, patterns | 4.OA.1–5 |
| Number & Operations in Base Ten | Place value to 1,000,000, rounding, multiplying up to 4 digits × 1 digit and 2 digits × 2 digits, dividing up to 4 digits by 1 digit | 4.NBT.1–6 |
| Number & Operations: Fractions | Equivalent fractions, comparing fractions, adding like fractions and mixed numbers, fraction × whole number, decimals to hundredths | 4.NF.1–7 |
| Measurement & Data | Unit conversions, area and perimeter, line plots, measuring and adding angles | 4.MD.1–7 |
| Geometry | Lines, rays, angles, parallel and perpendicular lines, classifying shapes, lines of symmetry | 4.G.1–3 |
Place Value and Rounding
4th graders read, write, and compare numbers up to 1,000,000 and round them to any place. Each place is worth 10 times the place to its right.
Problem 1: What is the value of the 7 in 572,019?
Problem 2: Round 46,382 to the nearest thousand.
Problem 3: Compare 304,512 and 340,215. Use >, = or <.
Try it yourself:
Multi-Digit Multiplication
4th graders multiply up to a 4-digit number by a 1-digit number, and a 2-digit number by a 2-digit number, using place value. The two methods schools teach most are partial products and the area model.
Problem 4: Calculate 347 × 6.
Problem 5: Calculate 53 × 47 using the area model.
Problem 6: A school cafeteria serves lunch to 248 students every day. How many lunches does it serve in 5 school days?
See step-by-step guides to the area model, partial products, and the box method.
Try it yourself:
Long Division
4th graders divide up to a 4-digit number by a 1-digit number, with and without remainders. A simple way to remember the steps is Divide, Multiply, Subtract, and Bring down.
Problem 7: Calculate 846 ÷ 3.
Problem 8: Calculate 1,357 ÷ 4. Find the quotient and remainder.
Problem 9: A teacher has 97 pencils. She gives 8 pencils to each student. How many students get 8 pencils, and how many pencils are left?
Is Long Division Where Your 4th Grader Gets Stuck?
A free 1:1 evaluation with a Cuemath tutor shows exactly which step breaks down, from place value to remainders, and what to practice next.
Book a Free Evaluation100% free · No credit card · About 30 minutes
Try it yourself:
Factors, Multiples, and Patterns
4th graders find all the factor pairs of numbers up to 100, tell prime numbers (exactly two factors) from composite numbers (more than two), and extend number patterns.
Problem 10: List all the factor pairs of 24. Is 24 prime or composite?
Problem 11: Is 29 prime or composite?
Problem 12: Start at 1 and add 3 each time. Write the first 6 numbers. What pattern do you notice?
Try it yourself:
Fractions
Fractions are the biggest topic of 4th grade. Children explain why fractions are equivalent using pictures, compare fractions with different denominators, add and subtract fractions and mixed numbers with the same denominator, and multiply a fraction by a whole number.
Problem 13: Show that 2/4 and 3/6 are equivalent.
Problem 14: Add 3/8 + 2/8.
Problem 15: Compare 3/4 and 5/6. Which is larger?
Problem 16: Calculate 4 × 2/3.
Problem 17: Add 1 3/4 + 2 2/4.
Try it yourself:
Decimals
4th graders write fractions with denominators of 10 and 100 as decimals and compare decimals to hundredths. This links fractions to the decimal math of 5th grade.
Problem 18: Write 0.47 as a fraction and explain each digit.
Problem 19: Order from least to greatest: 0.6, 0.06, 0.62, 0.59.
Problem 20: Add 3/10 + 4/100. Write the answer as a fraction and a decimal.
Try it yourself:
One App, Every Angle Your Child Needs for 4th Grade Math
A short daily workout on multiplication, fractions and decimals, plus puzzles and 1v1 math battles your 4th grader will actually want to play. Free to try, no card needed.
100% Free • No Card Needed • A Few Minutes a Day
Geometry and Angles
4th graders measure angles in degrees with a protractor, add angles together, classify shapes by their angles and by parallel or perpendicular sides, and find lines of symmetry. An angle is part of a full 360° turn, and a right angle is exactly 90°.
Problem 21: An angle measures 135°. Is it acute, right or obtuse?
Problem 22: A right angle is split into two smaller angles. One measures 35°. What does the other measure?
Problem 23: How many lines of symmetry does a square have?
Try it yourself:
Measurement and Data
4th graders convert from a larger unit to a smaller one (feet to inches, pounds to ounces, hours to minutes), find the area and perimeter of rectangles, and solve problems with time and money.
| Quick Conversions | |
|---|---|
| Length | 1 foot = 12 inches · 1 yard = 3 feet · 1 mile = 5,280 feet |
| Weight | 1 pound = 16 ounces |
| Capacity | 1 gallon = 4 quarts · 1 quart = 2 pints · 1 pint = 2 cups |
| Time | 1 hour = 60 minutes · 1 minute = 60 seconds |
Problem 24: A hallway is 7 yards long. How many feet long is it?
Problem 25: A rectangular garden is 12 meters long and 9 meters wide. Find its perimeter and area.
Problem 26: A movie starts at 6:45 p.m. and lasts 1 hour 50 minutes. When does it end?
Try it yourself:
Multi-Step Word Problems
Multi-step word problems ask children to choose the operations and the order. The key habit: after each step, say what you just found and what the question still wants.
Problem 27: A bookstore sold 124 fiction and 89 nonfiction books on Monday. On Tuesday it sold 3 times as many books as on Monday. How many books did it sell over both days?
Problem 28: Mia earns $8 an hour babysitting. She worked 6 hours and wants a $75 jacket. How much more does she need?
Problem 29: A school buys 6 boxes of 144 crayons and shares them equally among 8 classes. How many crayons does each class get?
For a full method, see this step-by-step guide to word problems.
Try it yourself:
Where 4th Graders Usually Get Stuck
Most wrong answers in 4th grade come from a handful of habits, not from the math being too hard.
| Topic | Common mistake | What helps |
|---|---|---|
| Multiplication | Skipping a partial product (53 × 47 = 2,000 + 21) | Draw the area model so every box gets filled |
| Long division | Ignoring the remainder, or not deciding what it means | Ask: "Is the leftover extra items, or does it need one more group?" |
| Fractions | Adding the denominators: 3/8 + 2/8 = 5/16 | Use fraction bars: eighths stay eighths |
| Decimals | Thinking 0.06 is bigger than 0.6 | Add a zero so both have two places: 0.06 vs 0.60 |
| Angles | Reading the wrong scale on the protractor | First decide if the angle is less or more than 90° |
| Word problems | Answering after the first step | Re-read the question before writing the answer |
Quick 4th Grade Math Test (10 Questions)
A mixed check of everything above. Type each answer and see right away if it is correct.
Quick test:
Scored 8 or more? Your child is on track. Missed a few in one topic? Go back to that section and try the solved problems again.
Free 4th Grade Math Worksheets
Start with this 10-question review worksheet. Your child can fill it in right here and check the score.
Covers multiplication, division, place value, fractions, decimals, measurement and word problems. Answer all 10, then press Check My Answers.
How Cuemath Helps 4th Graders Who Get Stuck
Solved problems show the steps. They can’t show why your child took a wrong step. A child who copies the long division steps can get 846 ÷ 3 right and still be lost on 1,357 ÷ 4.
Now that AI can solve any 4th grade problem in a second, the skills worth building are the ones AI can’t do for your child: choosing the right operation, checking whether an answer makes sense, and explaining why it works.
| What most practice does | What a Cuemath tutor does |
|---|---|
| Marks the answer right or wrong | Watches each step and asks "Why did you do that?" to find where the thinking slipped |
| Gives the answer when your child is stuck | Asks a question that leads your child to it ("cue, don't tell") |
| Repeats the same worksheet | Shows the "why" on a shared whiteboard, like fraction bars or an area model |
| Moves at a fixed pace | Adjusts every class to your child's pace, with the same tutor over time |
Classes are live and 1:1, aligned to the Common Core, and taught by tutors chosen from the top 1% of applicants and trained in child psychology.
See Where Your 4th Grader’s Math Stands
In a free 1:1 evaluation, a Cuemath tutor works through a few 4th grade problems with your child and shows you which topics are solid and which need work.
Book a Free Evaluation100% free · No credit card · About 30 minutes
Frequently Asked Questions
What math topics do 4th graders learn according to Common Core?
Fourth graders learn across five domains: Operations & Algebraic Thinking, Number & Operations in Base Ten, Fractions, Measurement & Data, and Geometry. The main focus is multi-digit multiplication and division, fraction equivalence and operations, and angles and shapes.
What should a 4th grader be able to do in math?
By the end of 4th grade, children multiply up to 4 digits by 1 digit and 2 digits by 2 digits, divide up to 4 digits by 1 digit with remainders, compare and add fractions, write decimals to hundredths, convert units, and measure angles in degrees.
What is the hardest math for a 4th grader?
For most children, long division and fractions. Long division has many steps and a remainder to make sense of, and comparing fractions like 3/4 and 5/6 means finding a common denominator first.
How is 4th grade math different from 3rd grade math?
Third grade covers multiplication and division facts within 100 and fractions as parts of a whole. Fourth grade multiplies and divides bigger numbers, compares fractions with different denominators, adds mixed numbers, and introduces decimals and angles in degrees.
What are good 4th grade math problems for practice at home?
Mix all five areas: 3-digit × 1-digit and 2-digit × 2-digit multiplication, long division with remainders, comparing and adding fractions, ordering decimals, unit conversions, and multi-step word problems. The quick test on this page covers each of them.
How do you explain long division to a 4th grader?
Use divide, multiply, subtract, and bring down one digit at a time, and ask, "How many times does the divisor fit?" at each step. Then talk about the remainder: what is left over after sharing equally.
Are prime and composite numbers in 4th grade?
Yes. A prime number has exactly two factors, 1 and itself (2, 3, 5, 7, 11). A composite number has more than two (6 has 1, 2, 3, and 6). The number 1 is neither. 4th graders find all factor pairs for numbers up to 100.
For hands-on practice, try these 4th grade math activities and free 4th grade math games.
Sources
- Common Core State Standards, Grade 4 Operations & Algebraic Thinking: multi-step problems, factors, primes, patterns
- Common Core State Standards, Grade 4 Number & Operations in Base Ten: place value, rounding, multiplication, division
- Common Core State Standards, Grade 4 Number & Operations—Fractions: equivalent fractions, adding, fraction × whole number, decimals
- Common Core State Standards, Grade 4 Measurement & Data: conversions, area, perimeter, angles
- Common Core State Standards, Grade 4 Geometry: lines, angles, symmetry
- Common Core State Standards, Grade 4 Introduction: the three focus areas
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