maths problem solving activities

Problem Solving Activities: 7 Strategies

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maths problem solving activities

Problem solving can be a daunting aspect of effective mathematics teaching, but it does not have to be! In this post, I share seven strategic ways to integrate problem solving into your everyday math program.

In the middle of our problem solving lesson, my district math coordinator stopped by for a surprise walkthrough. 

I was so excited!

We were in the middle of what I thought was the most brilliant math lesson– teaching my students how to solve problem solving tasks using specific problem solving strategies. 

It was a proud moment for me!

Each week, I presented a new problem solving strategy and the students completed problems that emphasized the strategy. 

Genius right? 

After observing my class, my district coordinator pulled me aside to chat. I was excited to talk to her about my brilliant plan, but she told me I should provide the tasks and let my students come up with ways to solve the problems. Then, as students shared their work, I could revoice the student’s strategies and give them an official name. 

What a crushing blow! Just when I thought I did something special, I find out I did it all wrong. 

I took some time to consider her advice. Once I acknowledged she was right, I was able to make BIG changes to the way I taught problem solving in the classroom. 

When I Finally Saw the Light

To give my students an opportunity to engage in more authentic problem solving which would lead them to use a larger variety of problem solving strategies, I decided to vary the activities and the way I approached problem solving with my students. 

Problem Solving Activities

Here are seven ways to strategically reinforce problem solving skills in your classroom. 

This is an example of seasonal problem solving activities.

Seasonal Problem Solving

Many teachers use word problems as problem solving tasks. Instead, try engaging your students with non-routine tasks that look like word problems but require more than the use of addition, subtraction, multiplication, and division to complete. Seasonal problem solving tasks and daily challenges are a perfect way to celebrate the season and have a little fun too!

Cooperative Problem Solving Tasks

Go cooperative! If you’ve got a few extra minutes, have students work on problem solving tasks in small groups. After working through the task, students create a poster to help explain their solution process and then post their poster around the classroom. Students then complete a gallery walk of the posters in the classroom and provide feedback via sticky notes or during a math talk session.

Notice and Wonder

Before beginning a problem solving task, such as a seasonal problem solving task, conduct a Notice and Wonder session. To do this, ask students what they notice about the problem. Then, ask them what they wonder about the problem. This will give students an opportunity to highlight the unique characteristics and conditions of the problem as they try to make sense of it. 

Want a better experience? Remove the stimulus, or question, and allow students to wonder about the problem. Try it! You’ll gain some great insight into how your students think about a problem.

This is an example of a math starter.

Math Starters

Start your math block with a math starter, critical thinking activities designed to get your students thinking about math and provide opportunities to “sneak” in grade-level content and skills in a fun and engaging way. These tasks are quick, designed to take no more than five minutes, and provide a great way to turn-on your students’ brains. Read more about math starters here ! 

Create your own puzzle box! The puzzle box is a set of puzzles and math challenges I use as fast finisher tasks for my students when they finish an assignment or need an extra challenge. The box can be a file box, file crate, or even a wall chart. It includes a variety of activities so all students can find a challenge that suits their interests and ability level.

Calculators

Use calculators! For some reason, this tool is not one many students get to use frequently; however, it’s important students have a chance to practice using it in the classroom. After all, almost everyone has access to a calculator on their cell phones. There are also some standardized tests that allow students to use them, so it’s important for us to practice using calculators in the classroom. Plus, calculators can be fun learning tools all by themselves!

Three-Act Math Tasks

Use a three-act math task to engage students with a content-focused, real-world problem! These math tasks were created with math modeling in mind– students are presented with a scenario and then given clues and hints to help them solve the problem. There are several sites where you can find these awesome math tasks, including Dan Meyer’s Three-Act Math Tasks and Graham Fletcher’s 3-Acts Lessons . 

Getting the Most from Each of the Problem Solving Activities

When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student’s response tells teachers where to go next. 

Ready to jump in? Grab a free set of problem solving challenges like the ones pictured using the form below. 

Which of the problem solving activities will you try first? Respond in the comments below.

maths problem solving activities

Shametria Routt Banks

maths problem solving activities

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This is a very cool site. I hope it takes off and is well received by teachers. I work in mathematical problem solving and help prepare pre-service teachers in mathematics.

Thank you, Scott! Best wishes to you and your pre-service teachers this year!

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Bead Numbers - Place Value

Bead Numbers is a place value investigation involving a tens and ones abacus. The game provides a good context for encouraging learners to think systematically.

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How many different outfits can Bobbie Bear wear in each game given the options for shirts and trousers. Can you find a way to predict how many before trying all the combinations?

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Guess the number by revealing the clues on the clouds one by one. Children will need knowledge of rounding, odd and even and tens and ones.

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9 Fun And Engaging Math Problem Solving Activities Your Students Will Enjoy

Are you looking for math problem solving activities that are fun and engaging? Then continue reading on! I will be sharing with you 9 fun math problem solving activities that you can use in your class.  

What are mathematics problem-solving activities?

According to the National Council Of Teachers Of Mathematics, Mathematics problem solving refers to mathematical tasks that have the potential to provide intellectual challenges for enhancing students’ mathematical understanding and development. 

Problem-solving is a skill that we try to teach to our students in math class. A lot of times we will use word problems as problem-solving tasks. But there are actually more activities that do not involve story problems. 

You can use these problem-solving activities as a lesson themselves, math starters, review, fast finishers, with small groups or a large group.  

9 Fun Math Problem Solving Activities

Students often dread doing math word problems and tasks that are challenging. And forcing them down their throat is not the long-term solution as it can lead to math anxiety.

There must be a better way!

And the solution is…to find a fun way to tackle them!

Here is a list of 9 different ways to do problem-solving tasks. And I even gave some educational materials that you can grab if you are interested to use them in your class.

  • Online Word Problems Practice
  • Short Video
  • Non-Routine Word Problems
  • Hands-On Math Problem Solving Activities
  • Math Puzzles
  • Mystery Puzzles
  • Scavenger Hunt
  • Digital Treasure Hunt
  • Escape Room

1) Online Word Problems Practice

Children love to go online. So by giving them a chance to play with the tablet or computer, they will already be more interested in the task on hand than usual. 

Consider the digital interactive task cards available on the Boom Learning site. They are often self-checking and require no preparation. This means they do not require much time from you and students can accomplish the mathematical practice independently.  

word problems on speed

Furthermore, if you assign the Boom Cards to students, you can look through the reports of your student’s progress and results.   

These digital versions of word problems not only add a bit more fun to them but also help to develop a deeper understanding of mathematical concepts.

2) Short Video

Video provides a multisensory experience that helps to capture students’ attention. It is also great for memory retention and can enhance their learning experience. 

A) Show short videos that help them build their problem-solving skills. 

For example, matchstick puzzle examples. 

Related read: 3 Free Math Puzzles With Answer For You To Enjoy This Summer

B) Show them videos that teach them math skills or review math skills. 

This can be just a short review or a math hook for more math practice. 

Related read: 5 Hooks For Math Lessons That Will Engage Your Students Easily & Quickly

C) Show them a real-life problem and ask them to solve it using math.

Linking math to a real-life issue can always help to make math lessons more exciting. 

You can show them an existing issue and let them brainstorm on how to solve them. How can we use our math knowledge or other knowledge to solve it? (Sounds familiar? Consider project-based learning.)

Or you can show how real-life problems were solved due to our knowledge of math. Will they be the next mathematicians that make an impact on the world? 

3) Non-Routine Word Problems

What is more challenging and interesting than word problems? It’s non-routine word problems! 

Create Christmas gnome as non-routine word problems craft

They can be tricky and require different problem-solving strategies than the usual problem-solving approach. 

It requires some critical thinking to get to the correct answer. Sometimes there may also be different solutions to these challenging problems.

4) Hands-On Math Problem Solving Activities

By incorporating hands-on activities with word problems, word problems look more attractive now! 

Furthermore, kinesthetic learners will benefit greatly from math craft or math craftivity. Hands-on activities are engaging. 

Be aware of the suitability of the craft as young children or older students may require different sets of activities. One way to differentiate is by grade level. 

fractions cut and paste worksheet is a great hands on activity

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5) Math Puzzles

There are many types of math puzzles. For example, logic puzzles, sudoku puzzles, and magic squares.

These math puzzles can help build logical reasoning. 

answer sheet for a printable grid logic puzzle

6) Mystery Puzzles

Students get to practice rigorous word problems and develop a deep conceptual understanding with these mystery puzzles!  

Students now have to solve word problems to know which are the correct clues. 

Furthermore, these worksheets are differentiated which means students of different standards can also utilize them. There are different culprits for the different sets which means students can do all of them if needed. 

speed word problems with mystery puzzles: the missing bus

7) Scavenger Hunt

Scavenger hunts are great movement activities for students. However, to incorporate word problems with a scavenger hunt, I would prefer to use them for lower elementary students. 

That’s because word problems for lower grades are usually shorter and require less time to solve. 

After all, if students have to stand for very long at a spot, it lowers the fun factors of the scavenger hunts.   

math detective is a type of scavenger hunt for one step and two step word problems

8) Digital Treasure Hunt

Treasure hunt is similar to a scavenger hunt. But what I have in mind for you is a digital treasure hunt that requires students to solve word problems prior to “digging” the spot. 

These digital versions of treasure hunting help you save some hassle but still engage students. 

maths problem solving activities

9) Escape Room

Escape room is great for practicing problem solving skills as it usually includes a variety of problems and puzzles. The types of problems will vary, depending on the creator. So choose the ones that suit your students’ needs. 

Some elaborate escape rooms let students practice decision-making skills, collaboration skills, spatial reasoning, logical reasoning, deductive reasoning, and/or a variety of mathematical knowledge. 

Of course, we can always stick to the less fussy way and make students solve logic problems.

christmas math escape room cover

Final Thoughts

To make math problem-solving activity fun and engaging, the questions must be either interesting enough or within the student’s ability. 

The fun part of any puzzle is always those that we can solve if we think harder or out of the box. 

If it is too hard, students will get discouraged very soon and all of us will not meet our goals.

However, we also need to develop students’ growth mindset so that even if they can’t solve complex tasks, they will have the correct mindset facing their “failure”.

Hopefully, by using these ideas and tips mentioned above, your class will start looking forward to problem-solving activities. And we can also start looking forward to an increase in their math abilities and test scores! 

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25 Fun Maths Problems For KS2 And KS3 (From Easy To Very Hard!)

Fun maths problems are one of the things mathematicians love about the subject; they provide an opportunity to apply mathematical knowledge, logic and problem solving skills all at once.  In this article, we’ve compiled 25 fun maths problems, each covering various topics and question types. They’re aimed at students in KS2 & KS3. We’ve categorised them as:

Maths word problems

Maths puzzles, fraction problems, multiplication and division problems, geometry problems, problem solving questions, maths puzzles are everywhere, how should teachers use these maths problems.

Teachers could make use of these maths problem solving questions in a number of ways, such as:

  • embed into a relevant maths topic’s teaching.
  • settling tasks at the beginning of lessons.
  • break up or extend a maths worksheet.
  • keep students thinking mathematically after the main lesson has finished.

Some are based on real life or historical maths problems, and some include ‘bonus’ maths questions to help to extend the problem solving fun! As you read through these problems, think about how you could adjust them to be relevant to your students or to practise different skills. 

These maths problems can also be used as introductory puzzles for maths games such as those introduced at the following links:

  • KS2 maths games
  • KS3 maths games

Need more support teaching reasoning, problem solving and planning for depth ? Read here for free CPD for you and your team of teachers.

1. Home on time – easy

Type: Time, Number, Addition

A cinema screening starts at 14:35. The movie lasts for 2 hours, 32 minutes after 23 minutes of adverts. It took 20 minutes to get to the cinema. What time should you tell your family that you’ll be home?

Answer: 17:50

2. A nugget of truth – mixed

Type: Times Tables, Multiplication, Multiples, Factors, Problem Solving 

Chicken nuggets come in boxes of 6, 9 or 20, so you can’t order 7 chicken nuggets. How many other impossible quantities can you find (not including fractions or decimals)?

Answer: 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 22, 23, 25, 28, 31, 34, 37, or 43

There is actually a theorem which can be used to prove that every integer quantity greater than 43 can be ordered.

3. A pet problem – mixed

Type: Number, Problem Solving, Forming and Solving Equations, Simultaneous Equations, Algebra

Eight of my pets aren’t dogs, five aren’t rabbits, and seven aren’t cats. How many pets do I have?

Answer: 10 pets (5 rabbits, 3 cats, 2 dogs)

4. The price of things – mixed

Type: lateral thinking problem

A mouse costs £10, a bee costs £15, and a spider costs £20. How much does a duck cost? Answer: £5 (£2.50 per leg)

Looking for more word problems, solutions and explanations? Read our article on word problems for primary school.

25 Fun Maths Problems - Printable

25 Fun Maths Problems - Printable

Download a printable version of these fun maths problems together with answers and mark scheme.

5. A dicey maths challenge – easy

Type: Place value, number, addition, problem solving

Roll three dice to generate three place value digits. What’s the biggest number you can make out of these digits? What’s the smallest number you can make?

Add these two numbers together. What do you get?

Answer: In most cases, 1,089.

Bonus: Who got a different result? Why?

6. PIN problem solving – mixed

Type: Logic, problem solving, reasoning

I’ve forgotten my PIN. Six incorrect attempts locks my account: I’ve used five! Two digits are displayed after each unsuccessful attempt: “2, 0” means 2 digits from that guess are in the PIN, but 0 are in the right place.

What should my sixth attempt be?

codebreakers maths problem

Answer: 6347

7. So many birds – mixed

Type: Triangular Numbers, Sequences, Number, Problem Solving

On the first day of Christmas my true love gave me one gift. On the second day they gave me another pair of gifts plus a copy of what they gave me on day one. On day 3, they gave me three new gifts, plus another copy of everything they’d already given me. If they keep this up, how many gifts will I have after twelve days?

Answer: 364

Bonus: This could be calculated as 1 + (1 + 2) + (1 + 2 + 3) + … but is there an easier way? What percentage of my gifts do I receive on each day?

8. I 8 sum maths questions – mixed

Type: Number, Place Value, Addition, Problem Solving, Reasoning

Using only addition and the digit 8, can you make 1,000? You can put 8s together to make 88, for example.

Answer: 888 + 88 + 8 + 8 + 8 = 1,000 Bonus: Which other digits allow you to get 1,000 in this way?

9. Quizzical – easy

Type: Fractions, Adding Fractions, Equivalent Fractions, Fractions to Percentages

4 friends entered a maths quiz. One answered \frac{1}{5} of the maths questions, one answered \frac{1}{10} , one answered \frac{1}{4} , and the other answered \frac{4}{25} . What percentage of the questions did they answer altogether?

Answer: 71%

10. Ancient problem solving – mixed

Type: Fractions, Reasoning, Problem Solving

Ancient Egyptians only used unit fractions (like \frac{1}{2} , \frac{1}{3} or \frac{1}{4} ). For \frac{2}{3} , they’d write \frac{1}{3} + \frac{1}{3} . How might they write \frac{5}{8} ?

Answer: \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} is correct. So is \frac{1}{2} + \frac{1}{8} .

Bonus: Which solution is better? Why? Can you find any more? What if subtractions are allowed?

Learn more about unit fractions here

11. everybody wants a pizza the action – hard.

An infinite number of mathematicians buy pizza. The first wants \frac{1}{2} pizza. The second wants \frac{1}{4} pizza. The third & fourth want \frac{1}{8} and \frac{1}{16} each, and so on. How many pizzas should they order?

Answer: 1 Each successive mathematician wants a slice that is exactly half of what is left:

circle divided by fractions

12. Shade it black – hard

Type: Fractions, Reasoning, Problem Solving What fraction of this image is shaded black?

square divided into smaller squares

Answer: \frac{1}{3}

Look at the L-shaped part made up of two white and one black squares: \frac{1}{3} of this part is shaded. Zoom in on the top-right quarter of the image, which looks exactly the same as the whole image, and use the same reasoning to find what fraction of its L-shaped portion is shaded. Imagine zooming in to do the same thing again and again…

13. Giving is receiving – easy

Type: Number, Reasoning, Problem Solving

5 people give each other a present. How many presents are given altogether?

14. Sharing is caring – mixed

I have 20 sweets. If I share them equally with my friends, there are 2 left over. If one more person joins us, there are 6 sweets left. How many friends am I with?

Answer: 6 people altogether (so 5 friends!)

15. Times tables secrets – mixed

Type: Area, 2D Shape, Rectangles

Here are 77 letters:

BYHRCGNGNEOEAAHGHGCURPUTSTSASHHSBOBOREOPEEMEMEELATPEPEFADPHLTLTUT IEEOHOHLENRYTITIIAGBMTNTNFCGEIIGIG

How many different rectangular grids could you arrange all 77 letters into?

Answer: Four: 1⨉77, 77⨉1, 11⨉7 & 7⨉11. If the letters are arranged into one of these, a message appears, reading down each column starting from the top left.

Bonus: Can you find any more integers with the same number of factors as 77? What do you notice about these factors (think about prime numbers)? Can you use this system to hide your own messages?

16. Laugh it up – hard

Type: Multiples, Lowest Common Multiple, Times Tables, Division, Time

One friend jumps every \frac{1}{3} of a minute. Another jumps every 31 seconds. When will they jump together? Answer: After 620 seconds

Third Space Learning's online one to one tuition slide on multiplication and division

17. Pictures of matchstick triangles – easy

Type: 2D Shapes, Equilateral Triangles, Problem Solving, Reasoning

Look at the matchsticks arranged below. How many equilateral triangles are there?

match sticks arranged in triangles

Answer: 13 (9 small, 3 medium, 1 large)

Bonus: What if the biggest triangle only had two matchsticks on each side? What if it had four?

18. Dissecting squares – mixed

Type: Reasoning, Problem Solving

What’s the smallest number of straight lines you could draw on this grid such that each square has a line going through it?

3x3 square

19. Make it right – mixed

Type: Pythagoras’ theorem

This triangle does not agree with Pythagoras’ theorem. 

Adding, subtracting, multiplying or dividing each of the side lengths by the same integer can fix it. What is the integer?

right angled triangle

Answer: 3 

8 – 3 = 5

The new side lengths are 3, 4 and 5 and  32 + 42 = 52.

20. A most regular maths question – hard

Type: Polygons, 2D Shapes, tessellation, reasoning, problem-solving, patterns

What is the regular polygon with the largest number of sides that will self-tessellate?

Answer: Hexagon.

Regular polygons tessellate if one interior angle is a factor of 360°. The interior angle of a hexagon is 120°. This is the largest factor less than 180°.

21. Pleased to meet you – easy

Type: Number Problem, Reasoning, Problem-Solving

5 people meet; each shakes everyone else’s hand once. How many handshakes take place?

Person A shakes 4 people’s hands. Person B has already shaken Person A’s hand, so only needs to shake 3 more, and so on.

Bonus: How many handshakes would there be if you did this with your class?

22. All relative – easy

Type: Number, Reasoning, Problem-Solving

When I was twelve my brother was half my age. I’m 40 now, so how old is he?

23. It’s about time – mixed

Type: Time, Reasoning, Problem-Solving

When is “8 + 10 = 6” true?

Answer: When you’re telling the time (8am + 10 hours = 6pm)

24. More than a match – mixed

Type: Reasoning, Problem-Solving, Roman Numerals, Numerical Notation

Here are three matches:

three matches

How can you add two more matches, but get eight? Answer: Put the extra two matches in a V shape to make 8 in Roman Numerals:

5 matches with two organised in v shape

25. Leonhard’s graph – hard

Type: Reasoning, Problem-Solving, Logic

Leonhard’s town has seven bridges as shown below. Can you find a route around the town that crosses every bridge exactly once?

river, islands and seven bridges

Answer: No!

This is a classic real life historical maths problem solved by mathematician Leonhard Euler (rhymes with “boiler”). The city was Konigsberg in Prussia (now Kaliningrad, Russia). Not being able to find a solution is different to proving that there aren’t any! Euler managed to do this in 1736, practically inventing graph theory in the process.

Many of these 25 maths problems are rooted in real life, from everyday occurrences to historical events. Others are just questions that might arise if you say “what if…?”. The point is that although there are many lists of such problem solving maths questions that you can make use of, with a little bit of experience and inspiration you could create your own on almost any topic – and so could your students. 

For a kick-starter on creating your own maths problems, read our article on KS3 maths problem solving .

Looking for additional support and resources at KS3? You are welcome to download any of the secondary maths resources from Third Space Learning’s resource library for free. There is a section devoted to GCSE maths revision with plenty of maths worksheets and GCSE maths questions . There are also maths tests for KS3, including a Year 7 maths test , a Year 8 maths test and a Year 9 maths test For children who need more support, our maths intervention programmes for KS3 achieve outstanding results through a personalised one to one tuition approach.

DO YOU HAVE STUDENTS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s specialist online maths tutors support thousands of students across hundreds of schools with weekly online 1 to 1 maths lessons designed to plug gaps and boost progress.

Since 2013 these personalised one to 1 lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn how the programmes are aligned to maths mastery teaching or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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Homeschooling 4 Him

10 Fun Math Problem Solving Activities

I love using fun games and activities to get my kids excited about math. That’s why I was so excited to discover Beast Academy Playground! The site includes a wide variety of math problem solving activities, games, puzzles, and ideas that can be used with your current homeschool curriculum. If you’re looking for some fun ways to get your child interested in math again or some new ideas for teaching math at home, this is a great place to start.

Fun first grade math activities for active kids

I received compensation in exchange for my honest review, but all the opinions in this post are my own.

What is Beast Academy Playground?

As a homeschool parent, I know that fun math problem solving activities are hard to come by. Practicing math can be frustrating and boring for kids. And, it’s not enough to just teach math facts – children need to learn how to solve complex problems too!

Beast Academy Playground is the perfect solution. This site was created by Beast Academy, a homeschool curriculum for kids ages 8-13 that’s written as a comic book. Beast Academy Playground is a website that includes a growing library of fun activity ideas for kids ages 4-11.

The site includes both tabletop games that can be played with paper and pencil and more active games that can be played outside. Parents can sort the activities by concept, age, number of players, and more to find the perfect activity to complement any math lesson. New activities, games, and crafts are added to the site weekly.

Key Features of Beast Academy Playground

I love that every game on the site includes variations. These are different ways to adapt the game to fit the number of kids in your family or the age and grade level of your child.

In addition, most of the games can be played alone or in small groups. This makes Beast Academy Playground so easy for the whole family to use together!

Beast Academy Playground was developed by the experts at Art of Problem Solving, who are global leaders in K-12 math education. Each activity is intentionally designed to help kids learn new math concepts.

I was excited to see that each game also includes learning notes. This section helps parents understand what their kids will be learning when they play the game. I felt like I was prepared to be a better math teacher after I read the tips in this section!

Check out Beast Academy Playground and learn more now!

Math Problem Solving Activities with Beast Academy Playground

How to use Math Problem Solving Activities in Your Homeschool

Introduce a new concept.

One way to use problem-solving activities in your math lessons is to help introduce a new concept. For example, when we were learning about even and odd numbers, we started our math lesson by playing the Odds vs. Evens game from Beast Academy Playground. This simple math problem solving activity is a variation on the game Rock Paper Scissors. This was a fun way to help us review addition facts while introducing the concept of odd and even numbers.

Practice Problem-Solving Skills

Another great way to use Beast Academy Playground is to help kids practice their problem-solving skills. One fun problem solving game that my kids love is the Fox and Hare game. In this outdoor game, the fox needs to use strategy to try to catch the hare on a grid, while the hare tries to avoid capture. You can change the size of the grid to create a variety of problems for kids to solve.

Practice Math Facts

If your kids need extra practice with their math facts, games and math puzzles can be a fun way to practice these important skills. Beast Academy Playground has games for addition and subtraction, as well as concepts like skip counting that will help kids learn their multiplication facts.

One favorite that we enjoyed was Troll Hole . In this game, we took turns writing numbers on a special game board. In the end, we had to add up all the numbers to see who was the winner. My kids had so much fun with the theme of this game and loved getting to draw the troll in the hole!

Independent learning

As homeschool parents, we always need ideas for independent learning activities. Beast Academy Playground includes some great math problem solving games that are perfect for self-directed math learning. The many different activities on the site include several fun activities for one player that kids can work through independently to reinforce their math skills.

For extra review

Hands-on activities are also helpful when kids need a little extra review on a topic. For example, we played Kanga Ruler to help review skip counting. The kids loved this game because it was active and fun!

Beast Academy Playground

Top 10 Math Problem Solving Activities from Beast Academy Playground

Here are 10 of our favorite games that help kids develop a deeper understanding of mathematical concepts, all while having fun at the same time.

Trashketball

Trashkeball Math Problem Solving Activities

In this game, kids aim and try to score a basket into a trash can. Then, they add up the points they score. You can modify this game to add extra intellectual challenges for older kids or adapt the math so that younger kids can play too!

Trashketball was my kids’ favorite Beast Academy game, hands down. They loved trying to score as many baskets as they could. They had so much fun that they decided to keep playing even after our math lesson was finished!

Learn how to play Trashketball here.

In this math game for young children, kids race to stack towers of number cards. This is a great way to review numbers and counting. My kids really enjoyed trying to build the tallest tower that they could!

Learn how to play Towers here.

Bumper Cars

Although it took us a few tries to understand the strategy behind this game, my kids loved the concept of trying to figure out new ways to move the cars on the road. This was another great mathematical practice for strategy and solving difficult math problems.

Learn how to play Bumper Cars here.

Hungry Monster

This was a great way to practice inequalities and comparing numbers, and my kids loved feeding the correct answer in each inequality to the hungry monster!

Learn how to play Hungry Monster here.

Fruit Flies

Fruit flies Math Problem Solving Activities

In this math game for older problem solvers, kids try to claim as many grapes as they can for themselves, while blocking their opponent from getting any. This game is like an interactive logic puzzle, and it’s a good way for kids to learn critical thinking skills.

Learn how to play Fruit Flies here.

Blind Heist

In this game, Battleship meets addition as kids try to build the highest towers on their own secret side of the board. There are many different solutions and strategies to be successful, and my kids loved trying different solutions to this open-ended problem.

Learn how to play Blind Heist here.

Möbius Madness

This is a classic brain teaser for a reason- my kids were fascinated by the magic of a piece of paper with only one side. My kids were able to follow the directions easily and afterwards, they were excited to show their magical piece of paper to everyone who would watch.

Learn how to play Möbius Madness here.

This fast-paced card game was the perfect way to help my kids practice their addition facts.

Learn how to play Fifteen here.

Cookie Cutter

This game helps kids practice both spatial reasoning skills and fine motor skills at the same time. And, the result is a fun picture that they can color!

Learn how to play Cookie Cutter here.

Odd Knights

odd knights Math Problem Solving Activities

This was a fun way to practice even and odd (and it even led to a history lesson about the Knights of the Round Table!)

Learn how to play Odd Knights here.

Beast Academy Playground

What math problem solving activities will you use?

Whether it’s for extra practice or math review , Beast Academy Playground has something for every math learner. This site is a great resource to find exciting games that help kids develop number sense, problem solving, and logical thinking skills. If you want fun and engaging math activities that don’t require a textbook, this is the place to go. For more math problem solving activities and fun math games, check out Beast Academy Playground !

Find hands on activities to teach spelling and reading here!

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Problem Solving Games, Videos and Worksheets

maths problem solving activities

44 Powerful Problem Solving Activities for Kids

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problem solving for kids

Inside: Tons of activities that will help boost kids’ problem-solving skills and make them super critical thinkers!

Table of Contents

Who doesn’t love a little challenge now and then? Especially if it’s for our kiddos! 

You see, problem-solving isn’t just for the puzzles and math sheets. It’s the magic stuff that shapes our little ones into big thinkers and doers. 

Yep, it’s pretty important!

With the right activities, we aren’t just sharpening kids’ brain muscles; we’re also enhancing their creativity, boosting their confidence and critical thinking skills, and (just maybe) buying ourselves five minutes to sip that coffee while it’s still hot. 

Stick around, and let’s dive into 44 simple activities to boost your child’s problem-solving skills while having a blast! 🚀💡

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Why is it Important to Learn Problem-Solving Strategies?

Importance of problem-solving abilities:

Navigating the maze of life requires many skills; it requires the ability to face challenges, find solutions, and adapt. 

This is where problem-solving enters the picture, and here’s why it’s so crucial for our kiddos:

Life is Full of Puzzles:  From tying shoes to understanding a new math concept, life constantly presents us with puzzles. Equipping our children with problem-solving skills ensures they can tackle each one confidently.

Boosts Independence:  As parents or educators, we won’t always be there to hand-hold. When kids can solve problems on their own, they gain a sense of independence, which is essential for their personal growth.

Develops Resilience:  Not every attempt to solve a problem will be successful. But with each try, children learn resilience, understanding that it’s okay to fail and important to try again.

Prepares for Real-World Challenges:  The real world isn’t a scripted playground. It’s unpredictable. By honing their problem-solving abilities, we’re preparing kids to face the unforeseen challenges of the world outside.

Enhances Cognitive Growth:  Otherwise known as cognitive development. Problem-solving isn’t just about finding solutions. It’s about thinking critically, analyzing situations, and making decisions. This cognitive workout helps in the overall brain development of our children.

problem solving activities for kids

Fosters Creativity:  There’s often more than one way to solve a problem. Encouraging kids to think outside the box helps them see things from different perspectives and nurtures their creative spirit, letting them see possibilities where others might see roadblocks.

Encourages Adaptability:  In the face of challenges, it’s important not just to find solutions but to be adaptable. As the world changes, kids with strong problem-solving skills can change with it, learning and growing along the way.

Builds Confidence :  Every problem solved is a victory, a testament to their capabilities. This builds a child’s self-esteem, making them believe in their ability to face and overcome obstacles.

So, while it may seem like just another skill on the list, problem-solving is a cornerstone for a well-rounded, resilient, and successful individual.

4 Simple Problem-Solving Steps We Should Know at a Young Age

Problem-solving steps can be thought of as the building blocks for tackling challenges. 

They’re like a set of instructions that  guide us  on our journey to finding different solutions. These steps provide a  roadmap  for kids, helping them break down big problems into smaller, more manageable pieces. 

By following these steps, children can learn  how  to think critically, make smart decisions, and even discover their own creative problem-solving superpowers. 

  • First, we need to understand the problem, just like examining the pieces before we start building. 
  • Next, we brainstorm – this is where we think of different solutions, like trying out various block combinations. Then comes the important part – evaluating the options. We must determine the best solution ,  just like choosing the right blocks for our structure. 
  • After that, it’s time to put the plan into action, just like assembling the blocks to create something amazing. 
  • Finally, we review and see if our solution works, making adjustments if needed. 

problem solving skills for kids

These problem-solving steps are like our trusty toolkit, helping us build our way to success with creativity and ingenuity.

Whether it’s figuring out a math puzzle, resolving a conflict with a friend, or coming up with a new game, these problem-solving steps will be a guide to helping kids take their next steps.

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HeartSmart Social Emotional Curriculum

If you want a program that guides you on how to teach problem-solving along with other essential skills like self-regulation, respect, teamwork, conflict resolution, and more, check this out!

Best Problem-Solving Activities for Kids

In this guide, we have a cool mix of fun problem-solving activities. There are activities for inside, outside, playing in groups, and even on the computer! So take deep breaths, and let’s get to it!

44 Problem-Solving Activities for Kids

Problem-solving games for kids:, card games:.

These are more than just fun; they are brain boosters. In  Go Fish , the hunt for matching cards sharpens memory. While in the classic game  Uno , it’s all about plotting the right move to take the lead.

4 problem solving steps for kids

The Memory Game:

This game isn’t just about remembering; it’s about strategizing. Matching pairs means we’re not just recalling but also paying close attention. This boosts concentration, focus, and, of course, memory – essential skills for everyday challenges!

Try this animal matching memory game.

Classic  Board Games:

Whether it’s Chess , where every move counts, or  Monopoly ,  where every decision can make or break your game, these games teach foresight and strategy.

problem solving games for kids

Maze Games :

Navigating a maze isn’t just about reaching the end; it’s about strategizing the route. These games enhance our ability to plan and foresee, invaluable skills in real-life situations.

Brain-Teasing Sudoku :

Sudoku   isn’t merely filling in numbers; it’s about using logic to deduce the correct sequence.

Tangram Puzzles: 

These aren’t your average puzzles. With Tangram, you shape a story, crafting images using geometric pieces.

Chess & Strategy-Based Games:

Think of these as mental workouts. Here, every step is a calculated decision, honing your ability to think multiple steps ahead.

For more fun:

  • 20 Best Games for 4-Year-Olds
  • 15 Board Games Every 9-Year-Old Will Love

Indoor Problem-Solving Activities for Kids

Complete simple tasks:.

Simple tasks are little jobs that you can do to practice problem-solving. 

  • Matching Socks:  Sort through a pile of laundry to pair up matching socks.
  • Grocery List Planning:  Help create a list for the week’s meals, considering everyone’s preferences.
  • Toy Organization:  Sort toys into designated bins by type, size, or color.
  • Packing Their School Bag:  Ensure they have all the necessary items for the next school day.
  • Setting the Table:  Consider where each plate, fork, and glass should go.

Ask Open-Ended Questions:

Open-ended questions are special questions that don’t have just one answer. They make you think! For instance, instead of asking, “What color is the sky?” you might ask, “Why do you think the sky changes colors?”

Puzzle Games:

Try simple puzzles with fewer pieces for younger kids and more complex puzzles with more pieces for older kids! You figure out how to fit the pieces together, which helps your brain get stronger!

Puzzle games are also great for hand-eye coordination!

Pattern Recognition:

This is all about finding the special patterns in things. Imagine a puzzle with colors or shapes. You have to figure out the pattern to solve it.

Dress-Up and Role-Play:

When you dress up and pretend to be someone else, it’s like stepping into their shoes. You have to think about how they would act and problem-solve what they would say if you were them.

Shape Sorters:

Shape sorters  are super fun for young kids. You have to match each shape to the right hole. It’s like a puzzle for shapes! This helps you learn about different shapes and how they fit together.

Building Challenges:

Use Wooden blocks or legos and give kids a theme or structure to replicate. Great for all age groups!

indoor problem solving activities for kids

Cooking or Baking:

Cooking and baking are like yummy science experiments! You follow recipes, mix ingredients, and even get to taste your creations. You must figure out how to follow and “solve” the recipe so that your creation tastes delicious!

“What If?” Scenarios:

Present hypothetical situations (e.g., “What if you were invisible for a day?”) and discuss possible solutions or actions.

Homemade Science Experiments:

Homemade science experiments are like being a scientist in your own lab! You get to try out cool experiments and discover how things work. 

Quick Experiment example:

Make Dancing Raisins:

  • Clear soda (like Sprite or 7-Up)
  • A clear glass
  • Fill the glass with the soda.
  • Drop a few raisins into the glass.

Result:  The raisins will initially sink, then start “dancing” up and down due to the carbon dioxide bubbles attaching and detaching from them.

Coding Activities: 

Coding is like giving a computer a set of clues to follow. Think of it as telling a story where the computer plays the main character, and your instructions guide its every move. It’s our way of communicating with machines to make them do amazing tasks!

Crossword Puzzles:

Crossword puzzles are fun little word challenges. You must fill in the blanks with the right words and use your smarts to solve tricky clues!

Complex Problems like Brain Teasers:

Brain teasers are like mental gymnastics, making you stretch and flex your thinking muscles. What’s fun about them? There’s often more than one way to reach an answer, so your imagination and logic both get a workout!

Goal Setting Activities:

Goal setting  is like making a special plan for what you want to achieve. 

Think of goal setting as charting out your very own treasure map, with no wrong answers! 

By laying out what you aim to achieve, you’re setting the course toward your treasure: success!

Goals, be they immediate or down the road, act like our personal compasses. They keep you on track and motivated. And every time you hit a goal? That’s you cracking a code and unlocking a new achievement in your adventure!

setting smart goals through problem solving for kids

Setting SMART Goals

This engaging kit focuses on teaching essential skills for setting and  achieving smart goals,  just like breaking down that LEGO set into manageable sections. We help kids understand the importance of clear objectives, staying motivated, overcoming obstacles, embracing adaptability and more.

Math Challenges:

Think of math challenges as your brain’s personal gym session. These aren’t just any puzzles; they’re crafted to push those thinking caps to the limit. 

Debates (Best for older children):

Debates are friendly arguments where you defend your ideas with strong reasons. They’re excellent for problem-solving and for our social skills because they teach us how to think critically and consider different viewpoints. By defending our thoughts in a debate, we learn how to express ourselves clearly, listen to others, and find strong arguments to support our ideas!

Use Worksheets (Teach the Size of the Problem Concepts)

Teach concepts like the size of the problem to help kids determine if their reactions to problems are appropriate and what suitable solutions might be. Use fun visuals and problem-solving worksheets.

You can get this worksheet and more in our HeartSmart curriculum.

size of the problem worksheets

STEM Challenges: 

STEM challenges are games that use science, technology, engineering, and math to solve problems. They’re awesome for problem-solving because they let us be like inventors and builders. Kids can engage in creative play and design and create things, like bridges or machines, using our smarts and creativity. 

indoor problem solving stem activities

Outdoor Problem-Solving Activities for Kids

Nature scavenger hunt or treasure hunt: .

Create a list of natural items for kids to find. For added difficulty, give riddles as clues.

We have some awesome free Scavenger Hunt Bundles you can snag!

Scavenger Hunt Printables

Free Scavenger Hunt Bundle

Download this set now, which includes four unique scavenger hunt games

Outdoor Obstacle Course: 

Use items like ropes, cones, and hula hoops to design a course that requires navigation.

Garden Planning & Planting :

Design a garden patch, deciding what to plant based on sunlight and spacing needs.

Map & Compass Orienteering:

Teach kids to use a map and compass, then set waypoints for them to find.

Water Relay Challenges:

Carry water from one bucket to another using a sponge or cup, navigating hurdles.

outdoor problem solving activities for kids

Campsite Setup Simulation Challenge:

Set up a mock campsite considering factors like wind direction, incline, and resource proximity.

Nature Art & Patterns:

Using twigs, leaves, stones, and more, create mosaic patterns or depictions.

Group Problem-Solving Activities for Kids

Tower of spaghetti:.

Using only spaghetti and marshmallows, groups compete to build the tallest stable tower.

Egg Drop Challenge:

Groups are provided with a set of materials (e.g., straws, tape, cotton) to create a protective casing for an egg, which is then dropped from a height.

Silent Line-Up:

Without speaking, kids must line up according to their birthdays or another criterion.

Group Story Time:

One child starts a story with a sentence or two, and each subsequent child adds on, weaving in unexpected twists and turns.

group problem solving activities for kids

The Human Knot:

Kids stand in a circle, reach across, and grasp two different hands. The challenge is to untangle the knot without releasing hands.

Escape Room:

Everyone is ‘locked’ in a themed room and has to solve a series of clues and puzzles to ‘escape’ within a set time. It’s fantastic for problem-solving because it challenges critical thinking, teamwork, and creativity. Everyone must work together, think outside the box, and use their wits to solve the puzzles and complete the mission before time runs out!

Role-Playing Social Situations:

Role-playing helps you practice how to react and solve problems in different situations. Present the group with a fictional but realistic scenario (e.g., stranded on an island) and brainstorm and act out solutions.

By pretending to be in different roles, you can figure out the best ways to communicate, understand others, and find solutions to problems in a safe and fun way!

Blindfolded Obstacle Course:

In pairs, one blindfolded child is guided through an obstacle course by their partner using only verbal instructions.

Online and App-Based Problem Solving Activities

When tech meets intellect, the digital realm becomes a treasure trove of problem-solving wonder!

Educational Apps:

Best Apps by Age:

  • Younger Kids : Dive into the mathematical world with “Moose Math” or kick-start programming concepts playfully with “Bee-Bot.”
  • Older Kids: Amp up programming skills with “Cargo-Bot” or embark on a critical thinking journey with “Rush: A Disney Pixar Adventure.”

Online and App-Based Problem Solving Activities

Online Escape Rooms:

Just like physical escape rooms, but from the comfort of your home! They’re digital adventures, demanding clues to be solved to advance to the next level.

Check out these 10 Family Friendly Online Escape rooms here! I’m especially looking forward to Hogwarts Harry Potter Escape Room .

Virtual Logic Puzzles:

Websites that present logic problems and puzzles, leveling up in complexity as kids solve them.

Top Picks:  “Conceptis Puzzles,” “Math Playground Logic Games.”

Benefits: Perfect for sharpening deductive reasoning and pattern recognition.

Interactive E-Books:

These are not your everyday e-books. They demand interaction, choices, and decision-making to progress the story.

Suggestions:  “This Book is Perfect” or I love this big list of the best interactive books for kids.

Benefits: Enhance comprehension, decision-making, and experience of how choices shape outcomes.

Online Strategy Games:

These games demand planning, strategic thinking, and foresight.

Check out: “Fish Sticks Strategy Game”

Benefits: Apart from being immensely fun, they teach patience, strategy formulation, and long-term planning.

10 Examples of Problem-Solving Skills Young Children Should Have

Each of these skills not only helps kids tackle problems effectively but also equips them with abilities they’ll use throughout their lives.

problem solving activities for 5 year olds

  • Critical Thinking:  Encourage young thinkers to examine situations, ask questions, and view things from different angles before reaching a conclusion.
  • Decision-Making Skills:  Help children practice making choices by offering them options and discussing the potential outcomes of each decision.
  • Creative Thinking:  Cultivate creativity by providing opportunities for imaginative play, artistic expression, and activities that encourage thinking outside the box.
  • Communication Skills:  Show children how to express their thoughts,  feelings , and ideas clearly and effectively – a vital skill for problem-solving in social situations.
  • Teamwork and Collaboration:  Foster the spirit of cooperation by encouraging children to work together on group activities or projects, which helps develop problem-solving skills as a team.
  • Resourcefulness:  Challenge children to find alternative solutions using the available resources rather than relying solely on adult guidance.
  • Flexibility and Adaptability:  Teach children how to adapt to changes and unexpected situations, which is crucial for effective problem-solving in real-world scenarios.
  • Persistence:  Staying determined, even when faced with challenges, and continuing to try until a solution is found.
  • Self-reflection:  Recognizing one’s own mistakes or misunderstandings in a situation and learning from them for future problem-solving.
  • Active Listening:  Paying close attention to details when others speak, helping them understand problems more fully and respond effectively. 

Must read post:

How to Help Kids with Inflexible Thinking THRIVE

Tips for Parents and Educators: Nurturing Problem-Solving in Kids

When it comes to fostering problem-solving skills in children, both parents and educators play pivotal roles. It’s less about giving the right answers and more about asking the right questions. 

Encourage Curiosity.  Let kids explore questions like, “What do you think would happen if…?” or “How would you do it differently next time?”.

Embracing mistakes as learning opportunities can be a game-changer.

Set Up Scenarios.  Create environments or situations where kids can think and act independently. Whether it’s setting up a puzzle station at home or a role-play corner in the classroom, these controlled scenarios can stimulate their problem-solving faculties. Remember, it’s okay for them to struggle a bit. It’s through overcoming challenges that real learning occurs.

Lastly,  Be a Guide, Not a Director.  Instead of directing them step-by-step, guide them by providing hints or asking probing questions. This helps them develop the ability to analyze situations and think critically. As they grow, they’ll be more equipped to approach challenges with confidence and creativity. 

So, whether you’re a parent or an educator, remember that each day presents countless opportunities to bolster these invaluable skills. Embrace them!

Final Thoughts: Problem Solving Activities for Kids

Being a pro at problem-solving helps us face all types of curveballs life throws at us.

From untangling math puzzles to making big decisions, this skill is our trusty sidekick. And when life changes? No sweat! We can adapt and shine.

In short, mastering problem-solving helps us face challenges, make wise choices, and truly succeed in whatever we tackle!

I hope you enjoyed these problem-solving activities for kids. Tell me, what one is your favorite?

simple problem solving activities for preschoolers

Because we all want our kids to be happy and healthy — not just for right now, but for the rest of their lives.

maths problem solving activities

Tina Williamson is the published author of the growth mindset activity journal for kids - “ Amazing Me ” and the writer and founder here at Mindfulmazing. Passionate about raising mindful, resilient, and compassionate kids we are committed to sharing calming strategies, positive parenting tips, and growth mindset resources. Our resources are now used in over 10,000 homes, schools and counseling offices! Visit the shop here.  

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maths problem solving activities

maths problem solving activities

K-5 Math Centers

K-5 math ideas, 3rd grade math, need help organizing your k-5 math block, 5 ways to include math problem solving activities in your classroom.

maths problem solving activities

Are you looking for math problem solving activities that are not too easy and not too hard, but juuust right? I’ve got something just for you and your students.

maths problem solving activities

Solve and Explain Problem Solving Tasks are open-ended math tasks that provide just the right amount of challenge for your kids. Here’s a little more about them.

Open-ended math problem solving tasks:

  • promote multiple solution paths and/or multiple solutions
  • boost critical thinking and math reasoning skills
  • increase opportunities for developing perseverance
  • provide opportunities to justify answer choices
  • strengthen kids written and oral communication skills

math problem solving activities organization

What Makes These So Great?

  • All Common Core Standards are covered for your grade level
  • 180+ Quality questions that are rigorous yet engaging
  • They are SUPER easy to assemble
  • Provide opportunities for meaningful math discussions
  • Perfect for developing a growth mindset
  • Easily identify student misconceptions so you can provide assistance
  • Very versatile (check out the different ways to use them below)

You can find out more details for your grade level by clicking on the buttons below.

I’m sure you really want to know how can you use these with your kids. Check out the top 5 ideas on how to use Solve and Explain Problem Solving Tasks in your classroom.

How and When Can I Use Them?

Solve and Explain Tasks Cards are very versatile. You can use them for:

  • Math Centers  – This is my favorite way to use these! Depending on your grade level, there are at least two (Kinder – 2nd) or three (3rd-5th) tasks types per Common Core standard. And each task type has 6 different questions. Print out each of the different tasks types on different color paper. Then, let students choose which one question from each task type they want to solve.

math problem solving activities task cards and recording sheets

  • Problem of the Day  – Use them as a daily math journal prompt. Print out the recording sheet and project one of the problems on your white board or wall.  Students solve the problem and then glue it in their spiral or composition notebooks.

math problem solving activities notebook

  • Early Finisher Activities  -No more wondering what to do next!Create an early finishers notebook where students can grab a task and a recording sheet. Place the cards in sheet protectors and make copies of the Early Finisher Activity Check-Off card for your kids to fill out BEFORE they pull a card out to work on. We want to make sure kids are not rushing through there first assignment before moving on to an early finisher activity.

math problem solving activities early finisher notebook

  • Weekly Math Challenges  – Kids LOVE challenges! Give students copies of one of the problems for homework. Then give them a week to complete it. Since many of the questions have multiple solutions and students have to explain how they got their answers, you can have a rich whole group discussion at the end of the week (even with your kindergarten and 1st grade students).

Shop Recommended Resources

Kindergarten Problem Solving

  • Formative Assessments  – Give your students a problem to solve. Then use the Teacher Scoring Rubric to see how your kids are doing with each standard. Since they have to explain their thinking, this is a great way to catch any misconceptions and give feedback to individual students.

math problem solving activities rubric and task card

So this wraps up the top 5 ways that you can use problem solving tasks in your classroom.  Click your grade level below to get Solve and Explain problem solving tasks for your classroom.

  • Read more about: K-5 Math Ideas

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3 Problem-Solving Math Activities

Scottie Altland · September 5, 2018 · 1 Comment

Try some of these easy and fun problem-solving math activities with your student today!

A problem is simply a “problem” because there is no immediate, known solution. Problem solving activities in mathematics extend well beyond traditional word problems .

You can provide your student with activities that promote application of math skills while “busting boredom” at the same time! Puzzles and riddles, patterns, and logic problems can all be valuable exercises for students at all levels of mathematics. By engaging in short, fun activities like these, you can help your student become a more skillful, resilient, and successful problem-solver.

When practicing problem-solving skills, be certain to give your student time to explore a problem on her own to see how they might get started. Then discuss their approach together. It is important to provide support during the problem-solving process by showing that you value their ideas and helping them to see that mistakes can be useful. You can do this by asking open-ended questions to help your student gain a starting point, focus on a particular strategy, or help see a pattern or relationship. Questions such as, “What have you done before like this?”, “What can be made from …?” or “What might happen if you change…?” may serve as prompts when they needs inspiration.

Try the activities below to boost your student’s problem-solving skills.

Download the activities here .

1) Toothpick Puzzles

Toothpick puzzles (also referred to as matchstick puzzles) provide students a visualization challenge by applying their knowledge of basic geometric shapes and orientations. The only supplies you need are a box of toothpicks, a workspace, and a puzzle to solve. The goal is for students to transform given geometric figures into others by adding, moving, or removing toothpicks. These puzzles range in complexity and can be found online or in math puzzle books. As an extension, challenge your student to create their own puzzle for someone else to solve.

Sample toothpick puzzles of varying difficulty:

maths problem solving activities

Download solutions to this activity here.

2) Fencing Numbers

The goal of this activity is to create a border or “fence” around each numeral by connecting dots horizontally and vertically so that each digit is bordered by the correct number of line segments.

Print a sheet of dot paper .

Use pencils and scissors to cut the size grid you want to use.

This game can be modified for abilities by adjusting the size of the grid and amount of numerals written. For example, a beginning student might begin with a grid that is 5 x 5 dots with a total of four numerals, while a more advanced student might increase the grid to 7 x 7 dots with six to eight numerals.

Begin by writing the digits 0, 1, 2, and 3 spread repeatedly in between “squares” on the dot paper. Each digit represents the number of line segments that will surround that square. For instance, a square that contains a 3 would have line segments on three sides, and a square that contains a 2 would have line segments on two sides, and so on. See the example boards and solutions for a 5 x 5 grid below.

Beware; there may be multiple solutions for the same problem! Thus, encourage your student to replicate the same problem grid multiple times and look for different solutions. A more advanced student can be challenged to create their own problem. Can they make a grid with only one solution? Is it possible to make a problem with four or more possible solutions?

maths problem solving activities

3) It’s Knot a Problem!

Exercise lateral thinking skills– solving a problem through an indirect and creative approach that is not immediately obvious. You need two people, two pieces of string (or yarn) about one meter long each (or long enough so the person who will wear it can easily step over it), and some empty space to move around. If possible, use two different colored pieces of string. Each person needs a piece of string with a loop tied in both ends so it can be worn like “handcuffs”. Before tying off the loop on the second wrist, the participants loop the string around each other so they are hooked together. The figure below illustrates how the strings should appear when completed.

The goal is to unhook the strings while following these guidelines:

1) The string must remain tied and may not be removed from either participant’s wrists. 2) The string cannot be broken, cut, or damaged in any way.

Caution! This activity not only tests problem-solving skills, but it also promotes positive communication, teamwork, and persistence.

maths problem solving activities

Problem-solving skills are not always taught directly but often learned indirectly through experience and practice. When incorporating problem solving activities aim to make them open-ended and playful to keep your student engaged. Incorporating fun activities like these from time to time foster creative and flexible thinking and can help your student transfer problem solving skills to other subject areas. By providing guidance and helping your student to see a problem from different perspectives, you will help foster a positive disposition towards problem-solving. As your student continues to learn how to effectively solve problems, they increase their understanding of the world around them and develop the tools they need to make decisions about the way they approach a problem.

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February 25, 2020 at 11:13 am

The ideas are very brilliant it encourages critical thinking and also help student think for a solution. Awesome!😍

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Developing Mathematical Thinking - Primary Teachers

Successful mathematicians  understand curriculum concepts, are fluent in mathematical procedures, can solve problems, explain and justify their thinking, and have a positive attitude towards learning mathematics. 

Exploring, questioning, working systematically, visualising, conjecturing, explaining, generalising, convincing, proving... are all at the heart of mathematical thinking. The activities below are designed to give learners the opportunity to think and work as mathematicians.

For problems arranged by curriculum topic, see our  Primary Curriculum  page For problems arranged by mathematical mindsets, see our  Mathematical Mindsets  page

maths problem solving activities

Exploring and Noticing - Primary Teachers

These problems offer learners an opportunity to explore by trying something out, and reflect on what they notice.

maths problem solving activities

Working Systematically - Primary Teachers

These problems will offer your learners opportunities to appreciate the value of working systematically in a variety of contexts.

maths problem solving activities

Conjecturing and Generalising - Primary Teachers

These problems will offer opportunities for your learners to use specific examples as a springboard to generalising.

maths problem solving activities

Visualising at KS1 - Primary Teachers

These lower primary tasks all specifically draw on the use of visualising.

maths problem solving activities

Visualising at KS2 - Primary Teachers

These upper primary tasks all specifically draw on the use of visualising.

maths problem solving activities

Reasoning and Convincing at KS1 - Primary Teachers

The tasks in this collection can be used to encourage children to convince others of their reasoning, using 'because' statements.

maths problem solving activities

Reasoning and Convincing at KS2 - Primary Teachers

The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a 'sceptic'.

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NYC Public Schools stacked logo

Beginning in the 2024-2025 school year, we will be launching an initiative called NYC Solves. The goal is to ensure that all New York City students develop math skills, a critical requirement for educational, career, and lifetime success. Based on extensive research, NYC Solves will ensure that students use high-quality curricula taught by well-trained and coached teachers .

Phasing in over the next few years, NYC Solves will require high school math classrooms to adopt a single, uniform curriculum called Illustrative Mathematics. For middle schools, districts will choose from a list of pre-approved curricula.

Why is this important?

Too many of our high school and middle school students are not meeting grade level proficiency in math. Two-thirds of Black and Latino students are not performing at grade level in math, and students in temporary housing and other students who have formal gaps in their education can fall behind when moving to a new school using a different curriculum.

As we have seen with NYC Reads, standardizing curriculum options across all New York City Public School Districts, ensures that all students have access to the tools they need to build strong math skills and that instruction is consistent from grade to grade and school to school, offering our city's students a more level playing field. Using a standard curriculum allows teachers to collaborate easily with their peers and superintendents and principals to do professional development effectively while ensuring consistent quality class-to-class and school-to-school.

What are the goals of this program?

Our goal is to ensure that every student in every classroom has access to quality, research-based curricula selected through collaboration between superintendent and principals that is supported by deep, intensive training and support. Teaching our children to be skilled mathematicians is an absolutely essential step in ensuring each New York City Public Schools student graduates on a pathway to a rewarding career and long-term economic security, equipped to be a positive force for change.

About the Curricula

A curriculum is how standards, or learning goals, for every grade and subject are translated into day-to-day activities. As part of the NYC Solves initiative, all high schools will use Illustrative Mathematics and districts will choose a comprehensive, evidence-based curricula for middle school math instruction from an approved list.

Each curriculum has been reviewed and recommended by EdReports, a nationally recognized nonprofit organization. In addition to the EdReports endorsement, each selected curriculum has undergone a formal review by a committee of New York City Public school educators including school leaders, central staff with expertise in mathematics, special education and multilingual learners and district-based mathematics specialists. This NYCPS review was based on alignment with the NYCPS Shifts in Mathematics , quality of mathematical tasks, strength of math language development, engagement of and accessibility for diverse learners, and alignment with CR-SE principles .

You can learn more about the high school curriculum by accessing the Illustrative Mathematics website.

How are Superintendents selecting which curriculum to use?

Superintendents are engaging their communities and are in discussion with their principals and will make their decision based on the feedback they receive.

Which High School Districts have already begun implementation?

All 11 High School Superintendencies participated in the implementation of Illustrative Mathematics in 2023-2024. By the end of 2024-2025 the majority of high schools across all superintendencies will be using Illustrative Mathematics for Algebra 1.

Which Middle School Districts will be involved in NYC Solves in 2024-2025?

2, 7, 11, 12, 14, 15, 26, and 32.

How were these districts selected?

Community districts participating in 2024-2025 are all districts that have already widely adopted Illustrative Mathematics in their middle schools.

The Division of School Leadership met with superintendents one-on-one to discuss this new policy and superintendents opted in to participate in this phase of the rollout.

Will this take away teacher autonomy?

No. A curriculum provides the framework of what to teach and offers research-backed pedagogy to support the teaching of the content, but a strong educator must bring their added value, strategies, personality, and knowledge of their students to the work as well.

Meeting the Needs of Every NYC Student

NYC Solves aims to provide every student with the tools they need to become successful mathematicians, and ensure that both our students and staff have the support that they need.

Are these curricula adapted for Students with Disabilities (SwDs) and Multilingual Learners (MLLs)/English Language Learners (ELLs)?

New York City Public Schools will support the implementation of the core curriculum through our existing collection of resources that demonstrate how to make grade-level content (e.g., ELA, math) accessible for English Language Learners (ELLs). These resources are designed with a commitment to valuing students' real languages, experiences, and histories-both in what the lessons are about and how they are taught.

New York City Public Schools provides teachers with professional learning and educator resources designed for use with the core curriculum that demonstrate how to support English Language Learners (ELLs) in the classroom and help to ensure equitable, inclusive, and culturally responsive instruction for all students.

Resources for Families

There are many resources available for families to continue promoting math education at home, and to ensure that your child is getting solid math instruction.

  • Attend an Open House: take opportunities to engage with your school to learn more about what your child is doing in the classroom.
  • We encourage parents to attend Open House nights and other opportunities to engage with the school and school leadership so they can ask questions like, is my child receiving regular instruction in math? How often and when? What support is the school providing when my child needs extra help? How can I support them with their learning at home?
  • Ask your child about their work: Check in with your child and ask if they are enjoying math and if they understand what they are learning.
  • Can your child explain what they are working on in mathematics?
  • If you ask them why they solved a problem the way they did or how they know if their answer is right, can they explain their thinking to you?
  • Do the Math! When children see other members of their family use mathematics in daily life, they are more excited about learning. Think out loud with them as you schedule your day, double a recipe, budget at the grocery store, etc. We also believe that seeing other members of the family using mathematics is a great way to encourage students in these skills outside of the classroom.

For more resources to support mathematics at home, visit our Family Math Engagement Resources which provides activities and ideas to help students continue learning beyond the classroom.

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Student Question Bank: Math Questions

Because each question on the Math section deals with different numbers and mathematical scenarios, it's not as simple as the Reading and Writing section to identify exactly what each question stem will look like. You can still use the descriptions in this section to determine which math domains and skills you want to focus on in the Student Question Bank.

Math Questions

Related topics.

IMAGES

  1. Problem solving using addition and subtraction, Mathematics skills

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  2. 9 Fun And Engaging Math Problem Solving Activities Your Students Will

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  3. Problem Solving Activities: 7 Strategies

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  4. 5 Fun Maths Problem-Solving Activities for Elementary Students

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  5. Problem solving using subtraction, Mathematics skills online

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  6. 13 Problem-Solving Activities For Toddlers And Preschoolers

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VIDEO

  1. A Collection of Maths Problem Solving Questions:#269 (Trigonometry

  2. A Collection of Maths Problem Solving Questions:#394 (Sequences)

  3. A Collection of Maths Problem Solving Questions:#337 (Indices

  4. A Collection of Maths Problem Solving Questions:#214 (Algebra

  5. A Collection of Maths Problem Solving Questions:#65

  6. A Collection of Maths Problem Solving Questions:#355 (Arithmetic Sequences)

COMMENTS

  1. Problem Solving Activities: 7 Strategies

    When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student's ...

  2. Rich Tasks

    Rich Tasks. Every student deserves to have the opportunity to problem-solve and engage in genuine mathematical thinking. Rich tasks are designed to make these rich learning experiences possible. We've written these tasks to launch quickly, engage students, and promote the habits of mind mathematicians need: perseverance & pattern-seeking ...

  3. Problem Solving

    NRICH offers a range of tasks and articles to help teachers and learners develop a problem-solving approach to mathematics. Explore topics such as trial and improvement, working systematically, number patterns, reasoning, visualising and more.

  4. Math and Logic Puzzles

    Math and Logic Puzzles. If you REALLY like exercising your brain, figuring things 'round and 'round till you explode, then this is the page for you ! Whosoever shall solve these puzzles shall Rule The Universe!... or at least they should ...

  5. Math Games

    Algebra Puzzles. Strategic Multiplication. Fraction Tasks. Problem Solving. 3rd Grade Math. Visual Math Tools. Model Word Problems. Free, online math games and more at MathPlayground.com! Problem solving, logic games and number puzzles kids love to play.

  6. 20 Effective Math Strategies For Problem Solving

    Here are five strategies to help students check their solutions. 1. Use the Inverse Operation. For simpler problems, a quick and easy problem solving strategy is to use the inverse operation. For example, if the operation to solve a word problem is 56 ÷ 8 = 7 students can check the answer is correct by multiplying 8 × 7.

  7. NRICH

    A selection of rich tasks ideal for developing subject content knowledge, mathematical thinking, and problem-solving skills. The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

  8. Fun Maths Problems Games for Children

    Problem Solving Games. These free maths problems activities are great for teaching and learning the skills needed to solve mathematical problems as they are engaging for young children. They lend themselves well to use with an interactive whiteboard where teachers can easily demonstrate strategies for solving problems which have different ...

  9. Games and Interactives

    Interactives - Upper Primary. Try these interactives to improve yours skills in a variety of topics. The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

  10. Primary Students

    Thinking Mathematically. The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

  11. Algebra

    Algebra has a reputation for being difficult, but Math Games makes struggling with it a thing of the past. Kids can use our free, exciting games to play and compete with their friends as they progress in this subject! Solving and writing variable equations to find answers to real-world problems. Writing, simplifying and evaluating variable ...

  12. Free Math Worksheets

    Khan Academy's 100,000+ free practice questions give instant feedback, don't need to be graded, and don't require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...

  13. Math Word Problems

    Problem 6. Math Playground has hundreds of interactive math word problems for kids in grades 1-6. Solve problems with Thinking Blocks, Jake and Astro, IQ and more. Model your word problems, draw a picture, and organize information!

  14. 9 Fun And Engaging Math Problem Solving Activities Your Students Will

    Here is a list of 9 different ways to do problem-solving tasks. And I even gave some educational materials that you can grab if you are interested to use them in your class. Online Word Problems Practice. Short Video. Non-Routine Word Problems. Hands-On Math Problem Solving Activities. Math Puzzles.

  15. Problem Solving with Logic Games

    Our logic games provide problem solving scenarios that help students gain expertise in pattern recognition, analytical thinking, and other essential problem solving skills. Fun Games, Serious Results. Carefully crafted problems are at the heart of our logic games. These fun, colorful puzzles provide far more than entertaining challenges.

  16. 25 Fun Maths Problems For KS2 & KS3 (From Easy to Very Hard!)

    Teachers could make use of these maths problem solving questions in a number of ways, such as: embed into a relevant maths topic's teaching. ... These maths problems can also be used as introductory puzzles for maths games such as those introduced at the following links: KS2 maths games; KS3 maths games;

  17. Mathematical Problem Solving in the Early Years: Developing ...

    The first article Mathematical Problem Solving in the Early Years pointed out that young children are natural problem setters and solvers: that is how they learn. This article suggests ways to develop children's problem solving strategies and confidence. Problem solving is an important way of learning, because it motivates children to connect previous knowledge with new situations and to ...

  18. 10 Fun Math Problem Solving Activities

    This site is a great resource to find exciting games that help kids develop number sense, problem solving, and logical thinking skills. If you want fun and engaging math activities that don't require a textbook, this is the place to go. For more math problem solving activities and fun math games, check out Beast Academy Playground!

  19. Problem Solving Games, Videos and Worksheets

    Through Math Game Time's free problem solving videos, children learn how to solve word problems and apply their math skills to other scenarios. ... From there, children can move to solving problems at they play our free problem solving games which help them feel confident that they can solve any problem that comes their way. Games. Bridge ...

  20. 44 Powerful Problem Solving Activities for Kids

    By honing their problem-solving abilities, we're preparing kids to face the unforeseen challenges of the world outside. Enhances Cognitive Growth: Otherwise known as cognitive development. Problem-solving isn't just about finding solutions. It's about thinking critically, analyzing situations, and making decisions.

  21. 5 Ways to Include Problem Solving Activities

    Find out how to use Solve and Explain Problem Solving Tasks to challenge and engage your students in math. These tasks cover all Common Core standards, promote multiple solutions and reasoning, and are easy to assemble and use.

  22. 3 Problem-Solving Math Activities

    3 Problem-Solving Math Activities 1) Toothpick Puzzles. Toothpick puzzles (also referred to as matchstick puzzles) provide students a visualization challenge by applying their knowledge of basic geometric shapes and orientations. The only supplies you need are a box of toothpicks, a workspace, and a puzzle to solve. The goal is for students to ...

  23. Developing Mathematical Thinking

    Exploring, questioning, working systematically, visualising, conjecturing, explaining, generalising, convincing, proving... are all at the heart of mathematical thinking. The activities below are designed to give learners the opportunity to think and work as mathematicians. For problems arranged by curriculum topic, see our Primary Curriculum page.

  24. NYC Solves

    About the Curricula. A curriculum is how standards, or learning goals, for every grade and subject are translated into day-to-day activities. As part of the NYC Solves initiative, all high schools will use Illustrative Mathematics and districts will choose a comprehensive, evidence-based curricula for middle school math instruction from an approved list.

  25. Student Question Bank: Math Questions

    Domain: Problem-Solving and Data Analysis Skill: Evaluating statistical claims—Observational studies and experiments Solve real-world and mathematical problems about area, perimeter, surface area, or volume of a geometric figure, and use scale factors to calculate changes to length and area.