problem solving example grade 4

4th Grade Math Word Problems: Free Worksheets with Answers

June 11, 2019 by Anthony Persico

Free Multi-Step 4th Grade Math Word Problems PDF

Are you looking for engaging multi-step 4th grade math word problems with answers to add to your upcoming lesson plans? The following collection of free 4th grade maths word problems worksheets cover topics including addition, subtraction, multiplication, division, mixed operations, fractions, and decimals.

Students need to gain a strong understanding of place value in order to understand the relationship between digits and how these relationships apply to operations including addition, subtraction, multiplication, division, and more.

Mixed Addition and Subtraction 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade mixed addition and subtraction PDF worksheet and answer key.

Looking for more free 4th grade math worksheets? Click here to access our full PDF library.

Mixed Multiplication and Division 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade mixed multiplication and division PDF worksheet and answer key.

Adding and Subtracting Fractions 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade adding and subtracting fractions PDF worksheet and answer key.

Multiply Fractions 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade multiplying fractions PDF worksheet and answer key.

Add and Subtract Decimals 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade adding and subtracting decimals PDF worksheet and answer key.

Other 4th Grade Math Resources You Should Check Out:

This New Warm-Up Activity is a Game Changer (and a Time Saver!)

Check Out This Awesome Mean, Median, and Mode Activity!

How to Teach Multiplication Using Area Models

10 Super Fun Math Riddles for Kids (with Answers) 

Do you have any questions or anything to add? Share your thoughts in the comments below.

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By Anthony Persico

Anthony is the content crafter and head educator for YouTube's  MashUp Math  . You can often find me happily developing animated math lessons to share on my YouTube channel  . Or spending way too much time at the gym or playing on my phone.

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CHALLENGE ZONE 4th Grade Math Problems

Welcome to our 4th Grade Math Problems. Here you will find our range of challenging math problem worksheets which are designed to give children the opportunity to apply their skills and knowledge to solve a range of longer problems.

These problems are also a great way of developing perseverance and getting children to try different approaches in their math.

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4th Grade Math Problems

Here you will find a range of problem solving worksheets.

The 4th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them.

The skills the problems will help to develop include:

• systematic working
• logical thinking
• number fact knowledge
• fraction problems
• trial and improvement strategies
• working systematically
• searching for all possible answers.

At fourth grade, the problems are starting to become more advanced with children needing to become more systematic in their approach and experimenting using trial and improvement strategies.

Many of the problems have addition 'What if ...' questions with them to extend learning and get children looking for alternative solutions.

• 4th Grade Math Word Problems

Captain Salamander's Puzzling Problems

Captain Salamander's Puzzling Problems involves using thinking and reasoning skills to work out two math challenges. The challenges also involve an element of trial and improvement. This sheet is available in standard and metric units.

• Captain Salamander's Puzzling Problems - metric
• PDF version
• Captain Salamander's Puzzling Problems - standard
• Broken Calculator Problem 3

The Broken Calculator problem is a number problem involving using an imaginary broken calculator with only the 4, 7, +, - and = buttons working to make different totals.

There are 2 versions of the problem sheet, one with a pre-prepared template for filling in, and a second blank version for children to show their own recording system.

• Blank version

Quadra's Magic Bag Challenges

Quadra's Magic Bag Challenges involves using thinking and reasoning skills to work out two math challenges. The challenges also involve an element of trial and improvement, and also some addition.

• Quadra's Magic Bag Challenge
• Tyger's Fishy Problems

Tyger's Fishy Problems is a 4th grade math problem which involves using thinking and reasoning skills to solve two money challenges. This sheet is available in both dollars ( $ ) and pounds ( £ ).

• Tyger's Fishy Problems UK Version
• Bruno's Bones

Bruno's Bones is an activity to encourage children to work systematically to find the number of bones that a dog called Bruno has buried in his garden. This is a good problem for using lists/tables to solve and also counting in single digit steps.

• Don't Be Alarmed

Don't Be Alarmed is a sequencing problem where a burglar alarm is switching different lights on and off at different times. It is good for developing mathematical modeling and using lists/tables to help solve problems.

• Four Dogs Problem

Four Dogs Problem is a logic problem which involves using the clues to work out the owners for each of the four dogs.

Fox vs Rabbit

Fox vs Rabbit is an another mathematical modeling activity which involves looking at the routes of a fox and a rabbit and working out at if/when the rabbit is likely to get caught.

• Fox vs Rabbit #1 Standard Units
• Fox vs Rabbit #1 Metric Units

Frazer's Wall

Frazer's Wall is a trial and improvement activity which involves trying to work out the number of bricks that were laid in each day to make a set total of bricks. This problem can also be solved or modelled using algebra.

• Frazer's Wall #1
• Make Me 100

Make Me 100 is one of our 4th grade math problems designed to test children to find ways of making the numbers from 1 to 10 make 100 using different operators. It is good for developing perseverance and also for reinforcing the use of brackets of PEMDAS.

Sally's Fruit Punch

Sally's Fruit Punch is a money and scaling activity. The aim is to use the information to work out how much ingredients are needed. The ingredients then need to be priced to work out a total cost.

• Sally's Fruit Punch #2
• Sally's Fruit Punch #2 UK Version
• Share the Treasure #4

Share the Treasure is a fraction sharing activity where the aim is to work backwards to find out how many bars of treasure the pirates had before they shared them all out. It is a good activity for developing fraction problem solving and working backwards.

Something Fishy

Something Fishy is a money problem which involves working out exactly how many of each fish were bought in order to have spent $150 on the fish. It is a good activity for using lists and tables to find all possibilities.

• Something Fishy #1
• Something Fishy #1 UK Version

The Rock Race #2

The Rock Race is a 4th grade math problem which needs some perseverance to complete. The aim of the activity is to try different routes around the 6 rocks to determine which route is the shortest.

• The Rock Race #2 Metric version
• The Rock Race #2 Standard version
• Who Caught the Biggest Fish?

Who Caught the Biggest Fish is a logical number problem where you need to use trial and improvement strategies to work out the order of size of the fish from the clues given about their weights.

Looking for some easier math problems?

We have a range of easier word problems on our 3rd grade math problems page.

The problems on this page are at a simpler level than those here.

Many of the problems, e.g. Place It Right, Pick the Cards and Share the Treasure have easier versions on this page.

• 3rd grade Math Problems

Looking for some harder word problems

We have a range of more challenging word problems on our 5th grade problem solving page.

The problems on this page are at a trickier level than those here.

Some of the problems, e.g. The Rock Race and Sally's Fruit Punch and Frazer's Wall have harder versions on this page.

• 5th Grade Math Problems

Looking for some more fourth grade math word problems?

Here is our set of 4th grade math word problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Using these sheets will help your child to:

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• Multiplication Word Problems 4th Grade
• 4th Grade Math Puzzles

Here you will find a range of printable 4th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition facts;
• practice adding both positive and negative numbers;
• practice their subtraction facts;
• practice multiplication and division facts;
• develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 4th grade.

• Math Games 4th Grade

Using games is a great way to learn Math facts and develop mental calculation skills in a fun and easy way.

The following games involve different 4th Grade Math activities which your child will enjoy playing.

Games include using negative numbers, decimal addition and subtraction, rounding, multiplying by 10s.

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