cool math games problem solving

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 ...

Math Playground Free Online Math Games

Have you ever thought that learning math could actually be…fun? Well, playing cool math games proves that honing your skills with numbers can be seriously entertaining!

Math Playground games mix education with pure awesomeness. Consequently, these games disguise their math foundations behind incredibly interactive and compelling gameplay. Furthermore, chasing high scores drives you to keep playing while subtly practicing essential numerical fluency, problem-solving, and critical analysis along the way.

So, how about we look at what defines this popular new gaming genre? Additionally, we’ll spotlight some choice picks guaranteed to both enlighten and excite gamers of all ages and skill levels!

What Are MathPlayground Games?

MathPlayground games encompass a wide range of puzzlers, adventures, and brain teasers with strong mathematical foundations subtly woven into their designs. Therefore, these titles enhance your abilities with numbers, logic, and visualization, bringing you pure joy. Additionally, they offer a diverse array of challenges that cater to different learning styles.

Game styles vary wildly. For example, you might race against the clock or unwind with peaceful spatial manipulation puzzles. However, they all incentivize practicing core mathematical concepts like:

• Basic arithmetic
• Geometric recognition
• Strategy optimization
• Data visualization
• Logic deductions

Moreover, the best titles scaffold challenges perfectly so that players strengthen adaptive thinking and numeracy bit by bit without even realizing it. For instance, guiding characters through increasingly tricky gauntlets or manipulating objects to solve clever physics quandaries naturally pushes cognitive growth.

Casual gamers look for cool math games options with bright visuals, pick-up-and-play accessibility, and challenges providing bite-sized dopamine hits. Meanwhile, the hidden edutainment value makes them a terrific teaching tool for parents and teachers. Consequently, these games become a favorite among different age groups.

Either way, their combination of smiles and smarts delivers gaming goodness. Therefore, let’s dig into the awesomeness fueling this phenomenally fun genre!

Benefits of Playing Hooda Math Games

The appeal of Hooda Math playground starts with their sheer approachable enjoyability. For instance, who doesn’t like wildly flinging angry birds at rickety structures, building towers to the heavens, or blasting through crystalline caverns?

However, underneath all that fun lie some wonderful benefits for personal development:

Enhancing Math Playground Skills

The obvious advantage is strengthening numeracy across many facets. For example, young students grasp fundamentals like counting, basic operations, measurement, and shape recognition through manipulations required to progress. Moreover, trickier puzzles exercise more advanced concepts like fractions, probabilities, factoring, exponents, and more.

Since challenges ramp up subtly, skills growth feels natural. Therefore, you don’t just study; you experience higher math intuitively through play.

Improving Cognitive Abilities

Beyond rote memorization, these games build vital capacities like:

• Memory  – Remembering level layouts/patterns and objectives/rules
• Concentration  – Staying focused amidst increasing variables
• Logical Reasoning  – Analyzing situations and responding accurately
• Flexible Thinking  – Adapting strategies to shifting circumstances
• Visual-Spatial Processing  – Manipulating objects and environments based on geometric properties

Research shows that when the above skills improve, benefits like enhanced academic performance, improved creativity, and greater problem-solving confidence follow! Consequently, engaging with these games regularly can have long-term positive effects.

Popular Cool Math Games

Our site serves up the creme of the cool math games crop with these popular titles perfect for building skills subtly through play:

This slick running game has players tapping directional keys to launch a character between floating platforms. However, players must carefully gauge distances and trajectory angles to avoid deadly plunges. Consequently, honing spatial intelligence and reactions comes naturally by chasing that high score!

Cut the Rope

Here, an adorable candy-loving creature named Om Nom awaits sustenance. Players must slice strings suspending sweet treats to guide them into the monster’s mouth. To succeed, visually tracing swing paths and planning multiple moves ahead is key in these tasty physics puzzles.

Fireboy and Watergirl 1

This cooperative adventure has you guiding a pair of elemental protagonists – one with water-based abilities that enable progress while the other wields fire. Timing maneuvers across increasingly complex layouts demands strong sequential thinking and maneuver optimization.

Papa’s Scooperia

Would-be ice cream artisans serve up cold treats in this popular restaurant management challenge. Therefore, keeping the orders and arithmetic straight (accounting for inventory, recipes, and profits) puts practical math skills to work in a playful context.

Papa’s Freezeria

Master money math and measurement mixing the perfect milkshakes. For instance, recipe ratios, change counting, and quality control get put to the blend test!

Guide everyone’s favorite bouncy red sphere through platform puzzles requiring mastery of physics concepts like gravity, angles, and momentum. Therefore, it’s time to get rolling!

Frequently Asked Questions

As you explore the world of Math Playground, here are answers to some common questions for beginners:

What kind of hooda math games are good for kids?

Young students benefit most from titles emphasizing core concepts like counting, shapes, measurement, sorting/matching, and basic arithmetic. Manipulation puzzles and adventure games subtly exercising these fundamentals make for great starters.

What games improve logic skills?

Puzzlers like portal leaping, grid/spatial challenges, physics sandbox applications, and “easy to play, hard to master” strategy simulations greatly boost flexible thinking and evaluation skills through trial-and-error discovery.

Why are problem-solving games so popular?

The human brain craves novelty and small bursts of neurological “reward” from solving puzzles or overcoming challenges. Variable difficulty progression caters perfectly to this instinct. Achievable goals coupled with interactivity make for a compulsive “one more try” appeal.

What is math playground?

Math Playground is an educational website that offers a variety of math-related games, activities, and instructional videos. Designed for children in grades 1-6, it covers topics such as addition, subtraction, multiplication, division, fractions, geometry, and algebra. The site aims to make learning math fun and engaging through interactive content, helping students improve their math skills while enjoying the process. Additionally, Math Playground includes logic puzzles, word problems, and other resources that promote critical thinking and problem-solving abilities.

Directions Find the value of each candy in the puzzle by looking for mathematical relationships. Choose a level (1, 2, 3, or 4) once inside the Sweet Shop. Click on a candy to bring out the number pad. Enter the price of a single candy and click the arrow. Can you solve them all?

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25 Fun Math Problems For Elementary And Middle School (From Easy To Very Hard!)

Fun math problems and brainteasers are loved by mathematicians; they provide an opportunity to apply mathematical knowledge, logic, and problem-solving skills all at once.

In this article, we’ve compiled 25 fun math problems and brainteasers covering various topics and question types. They’re aimed at students in upper elementary (3rd-5th grade) and middle school (6th grade, 7th grade, and 8th grade). We’ve categorized them as:

How should teachers use these math problems?

Teachers could make use of these math problem solving questions in a number of ways. They can:

• incorporate the questions into a relevant math lesson.
• set tasks at the beginning of lessons.
• break up or extend a math worksheet.
• keep students thinking mathematically after the main lesson has finished.

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

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

• Math games for grade 4
• Middle school math games

25 Fun Math Problems

Engage your elementary and middle school students with these fun math problems, suitable for individuals, pairs and small groups! Includes a range of challenge levels to engage all learners.

Math word problems

1. home on time – easy .

Type: Elapsed time, Number, Addition

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

Answer: 5:50 pm

2. A nugget of truth – mixed

Type: Multiplication Facts, 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)

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

4. the price of things – mixed.

Type: lateral thinking problem

A mouse costs $10, a bee costs $15, and a spider costs $20. Based on this, how much does a duck cost?

Answer: $5 ($2.50 per leg)

Math puzzles

5. a dicey math challenge – easy.

Type: Place value, number, addition, problem-solving

Roll three 6 sided 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: If the digits are the same, the maximum is 666 and the minimum is 111. Then, if you add the numbers together, 666 + 111 = 777. If the digits are different, the maximum is 654 and the minimum is 456. Then, if you add the numbers together, 654 + 456 = 1,110.

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. No two digits in my PIN are the same.

What should my sixth attempt be?

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 math 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?

Fraction problems

4 friends entered a math quiz. One answered \frac {1}{5} of the math 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 – easy

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} (They are both still unit fractions even though they have different denominators.)

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} . 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:

12. Shade it black – hard

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

Answer:  

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…

Multiplication and division problems

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

Answer: 6 people altogether (so 5 friends!)

15. Multiplication facts secrets – mixed

Type: Area, 2D Shape, Rectangles

Here are 77 letters:

B Y H R C G N E O E A A H G C U R P U T S A S H H S B O R E O P E E M E E L A T P E F A D P H L TU T I E E O H L E N R Y T I I A G B M T N F C G E I I G

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

Can you reveal the secret message?

Answer: Four: 1 × 77, 77 × 1, 11 × 7 and 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, Least Common Multiple, Multiplication Facts, 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

Geometry problems

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?

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?

19. Make it right – mixed

Type: Pythagorean theorem

This triangle does not agree with Pythagorean theorem. 

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

Answer: 3 

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

20. A most regular math 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°.

Problem-solving questions

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:

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:

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?

Answer: No!

This is a classic real life historical math 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 from proving that there aren’t any! Euler managed to do this in 1736, practically inventing graph theory in the process.

Math puzzles are everywhere!

Many of these 25 math 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 math 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 math problems, read our article on middle school math problem solving .

READ MORE :

• Math problems for 3rd graders
• 4th grade math problems
• 5th grade math problems
• 6th Grade Math Problems
• 7th Grade Math Problems

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by primary school teacher Tom Briggs and has since been revised and adapted for US schools by math curriculum specialist and former elementary math teacher Katie Keeton.

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Summer Math Activities Grades 1 to 5 Pack [FREE]

Keep math a focus for your students with these fun math games and activities to try over the summer!

The pack includes 4 separate worksheets for each grade, with different games aimed at helping students with the transition into the next grade.

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Addition / Subtraction Games

Have tons of fun with the most basic math operations! Play Sudoku without a grid in Puzlogic Plus, trace number blocks to get to 10 in Plus 10, and find new ways to add in Sum Blocks!

Number Solver

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If you love simple math games, then these addition-subtraction games will definitely pique your interest. It's a great way to improve your basic math skills while still having a good time!

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Math Games offers online games and printable worksheets to make learning math fun. Kids from pre-K to 8th grade can practice math skills recommended by the Common Core State Standards in exciting game formats. Never associated learning algebra with rescuing animals or destroying zombies? Time to think again!

Kids learn better when they're having fun . They also learn better when they get to practice new skills repeatedly . Math Games lets them do both - in school or at home .

Teachers and parents can create custom assignments that assess or review particular math skills. Activities are tailored so pupils work at appropriate grade levels . Worksheets can be downloaded and printed for classroom use , or activities can be completed and automatically graded online .

Best of all? It's completely free! Click on any of our games above to get started.

Get updates on what we do by following us on Twitter at @mathgames . Send us your comments, queries or suggestions here .

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Making 10 and problem solving games.

This set of making 10  and  problem solving online activities focuses on the following foundational skills:

• Missing Addends
• Solving for 10
• Numbers to 100 on a Hundreds Chart
• Using Data in Categories
• Number Patterns

This set focuses on solving problems in multiple ways or getting more than one answer or solution.

Games linked from this page practice Common Core Standards: K.MD.3,   K.OA.3 ,  K.OA.4 ,  K.CC.5 ,  K.CC.6

Visit our websites: Math4kids CoolMathGames Teachers Parents Coding

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20 Best Math Puzzles to Engage and Challenge Your Students

Written by Maria Kampen

• Teacher Resources

• 1. Math crossword puzzles
• 2. Math problem search
• 3. Math riddles

It’s time for math class, and your students are bored.

It might sound harsh, but it’s true -- less than half of 8th grade students report being engaged at school according to this Gallup survey , and engagement levels only drop as students get older.

Math puzzles are one of the best -- and oldest -- ways to encourage student engagement. Brain teasers, logic puzzles and math riddles give students challenges that encourage problem-solving and logical thinking. They can be used in classroom gamification , and to inspire students to tackle problems they might have previously seen as too difficult.

Math puzzles for kids

Puzzles to Print

Take a crossword, and make it math: that’s the basic concept behind this highly adaptable math challenge. Instead of words, students use numbers to complete the vertical and horizontal strips. Math crossword puzzles can be adapted to teach concepts like money, addition, or rounding numbers. Solutions can be the products of equations or numbers given by clues.

Have students practice their addition, subtraction, multiplication and division skills by searching for hidden math equations in a word search-style puzzle . It can be adapted to any skill you want students to practice, and promotes a solid understanding of basic math facts.

My PreCalc students love riddles... can you figure out where the other dollar went?? #MathRiddles pic.twitter.com/BclqW9nq98 — Rachel Frasier (@MsFrasierMHS) January 8, 2019

Do your students love word problems ? Try giving them some math riddles that combine critical thinking with basic math skills. Put one up on the board for students to think about before class begins, or hand them out as extra practice after they’ve finished their work.

Prodigy is an engaging, game-based platform that turns math into an adventure! While it’s not a math puzzle in the traditional sense, Prodigy uses many of the same principles to develop critical thinking skills and mathematical fluency.

Students complete standards-aligned math questions to earn coins, collect pets and go on quests. Teachers can deliver differentiated math content to each student, prep for standardized tests and easily analyze student achievement data with a free account.

See how it works below!

KenKenKenKen

is a “grid-based numerical puzzle” that looks like a combined number cross and sudoku grid. Invented in 2004 by a famous Japanese math instructor named Tetsuya Miyamoto, it is featured daily in The New York Times and other newspapers. It challenges students to practice their basic math skills while they apply logic and critical thinking skills to the problem.

6. Pre-algebraic puzzles

Pre-algebraic puzzles use fun substitutions to get students ready to perform basic functions and encourage them to build problem-solving skills. They promote abstract reasoning and challenge students to think critically about the problems in front of them. As an added bonus, students who suffer from math anxiety might find the lack of complicated equations reassuring, and be more willing to attempt a solution.

7. Domino puzzle board

Games 4 Gains

There are hundreds of ways to use dominoes in your math classroom, but this puzzle gives students a chance to practice addition and multiplication in a fun, hands-on way. You can have students work alone or in pairs to complete the puzzle.

This online game and app challenges players to slide numbered tiles around a grid until they reach 2048. It’s super fun and not as easy as it sounds, so consider sending it home with students or assigning it after the rest of the lesson is over. It encourages students to think strategically about their next move, and it’s a great tool for learning about exponents.

Math in English

Kakuro , also called “Cross Sums,” is another mathematical crossword puzzle. Players must use the numbers one through nine to reach “clues” on the outside of the row. Decrease the size of the grid to make it easier for younger players, or keep it as is for students who need a challenge. Students can combine addition and critical thinking and develop multiple skills with one fun challenge.

10. Magic square

Magic squares have been around for thousands of years, and were introduced to Western civilization by translated Arabic texts during the Renaissance. While magic squares can be a variety of sizes, the three by three grid is the smallest possible version and is the most accessible for young students.

This is also a great math puzzle to try if your students are tactile learners. Using recycled bottle caps, label each with a number from one to nine. Have your students arrange them in a three by three square so that the sum of any three caps in a line (horizontally, vertically and diagonally) equals 15.

11. Perimeter magic triangle

This activity uses the same materials and concept as the magic square, but asks students to arrange the numbers one to six in a triangle where all three sides equal the same number. There are a few different solutions to this puzzle, so encourage students to see how many they can find.

Sudoku is an excellent after-lesson activity that encourages logical thinking and problem solving. You’ve probably already played this classic puzzle, and it’s a great choice for your students. Sudoku puzzles appear in newspapers around the world every day, and there are hundreds of online resources that generate puzzles based on difficulty.

13. Flexagon

There’s a pretty good chance that by now, fidget spinners have infiltrated your classroom. If you want to counter that invasion, consider challenging your students to create flexagons. Flexagons are paper-folded objects that can be transformed into different shapes through pinching and folding, and will keep wandering fingers busy and focused on the wonders of geometry.

14. Turn the fish

This puzzle seems simple, but it just might stump your students. After setting up sticks in the required order, challenge them to make the fish swim in the other direction -- by moving just three matchsticks.

15. Join the dots

Cool Math 4 Kids

This puzzle challenges students to connect all the dots in a three by three grid using only four straight lines. While it may sound easy, chances are that it will take your class a while to come up with the solution. (Hint: it requires some “out of the box” thinking.)

16. Brain teasers

While they don’t always deal directly with math skills, brain teasers can be important tools in the development of a child’s critical thinking skills. Incorporate brain teasers into a classroom discussion, or use them as math journal prompts and challenge students to explain their thinking.

Bonus: For a discussion on probability introduce an older class to the Monty Hall Problem, one of the most controversial math logic problems of all time.

17. Tower of Hanoi

This interactive logic puzzle was invented by a French mathematician named Edouard Lucas in 1883. It even comes with an origin story: According to legend, there is a temple with three posts and 64 golden disks.

Priests move these disks in accordance with the rules of the game, in order to fulfill a prophecy that claims the world will end with the last move of the puzzle. But not to worry -- it’s going to take the priests about 585 billion years to finish, so you’ll be able to fit in the rest of your math class.

Starting with three disks stacked on top of each other, students must move all of the disks from the first to the third pole without stacking a larger disk on top of a smaller one. Older students can even learn about the functions behind the solution: the minimum number of moves can be expressed by the equation 2n-1, where n is the number of disks.

18. Tangram

Tangram puzzles -- which originated in China and were brought to Europe during the early 19th century through trade routes -- use seven flat, geometric shapes to make silhouettes. While Tangrams are usually made out of wood, you can make sets for your class out of colored construction paper or felt.

Tangrams are an excellent tool for learners who enjoy being able to manipulate their work, and there are thousands of published problems to keep your students busy.

Similar to Sudoku, Str8ts challenges players to use their logic skills to place numbers in blank squares. The numbers might be consecutive, but can appear in any order. For example, a row could be filled with 5, 7, 4, 6 and 8 . This puzzle is better suited to older students, and can be used as a before-class or after-lesson activity to reinforce essential logic skills.

20. Mobius band

Is it magic? Is it geometry? Your students will be so amazed they might have a hard time figuring it out. Have them model the problem with strips of paper and see for themselves how it works in real life. With older students, use mobius bands to talk about geometry and surface area.

Why use math puzzles to teach?

Math puzzles encourage critical thinking.

Critical thinking and logic skills are important for all careers, not just STEM-related ones. Puzzles challenge students to understand structure and apply logical thinking skills to new problems.

A study from the Eurasia Journal of Mathematics, Science and Technology Education found that puzzles “develop logical thinking, combinatorial abilities, strengthen the capacity of abstract thinking and operating with spatial images, instill critical thinking and develop mathematical memory.”

All these skills allow young students to build a foundation of skills they’ll draw on for the rest of their lives, no matter what kind of post-secondary route they pursue.

They help build math fluency

Math games can help students build a basic understanding of essential math concepts, and as another study shows, can also help them retain concepts longer .

In the study, early elementary students gradually moved from using the “counting” part of their brains to complete math problems to the “remembering” part that adults use, suggesting math puzzles and repeated problems can help build the essential skill of math fluency .

Many of the math puzzles above allow students to practice essential addition, subtraction, multiplication and division skills, while advanced or modified problems can be used to introduce pre-algebraic concepts and advanced logic skills.

Math puzzles connect to existing curricula

No matter what curriculum you’re using, there’s a good chance it emphasizes problem-solving, critique and abstract thinking. This is especially true of Common Core math and similar curricula.

How Math Skills Impact Student Development

Math puzzles allow students to develop foundational skills in a number of key areas, and can influence how students approach math practically and abstractly. You can also tie them into strategies like active learning and differentiated instruction.

Instead of just teaching facts and formulas, math puzzles allow you to connect directly with core standards in the curriculum. You can also use them to provide a valuable starting point for measuring how well students are developing their critical thinking and abstract reasoning skills.

Tips for using math puzzles in the classroom

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Now that you’ve got some great math puzzles, it might be tricky to figure out how to best incorporate them into your classroom. Here are some suggestions for making the most of your lesson time:

Make sure the puzzles are the right level for your class

If the problems are too easy, students will get bored and disengage from the lesson. However, if the problems are too difficult to solve, there’s a good chance they’ll get frustrated and give up early.

There’s a time and a place

While fun math puzzles are a great way to engage your students in developing critical thinking skills, they’re not a tool for teaching important math concepts. Instead, use them to reinforce the concepts they’ve already learned.

Kitty Rutherford , a Mathematics Consultant in North Carolina, emphasizes that math puzzles and games shouldn’t be based solely on mental math skills , but on “conceptual understanding” that builds fluency over time. Math puzzles help build the essential balance between thinking and remembering.

Give them space to figure it out

Rachel Keen , from the Department of Psychology at the University of Virginia, conducted a study about problem-solving skills in preschoolers. She found that “playful, exploratory learning leads to more creative and flexible use of materials than does explicit training from an adult.”

Give your students space to struggle with a problem and apply their own solutions before jumping in to help them. If the problem is grade-appropriate and solvable, students will learn more from applying their own reasoning to it than just watching you solve it for them.

Model puzzles for your students

Use problems like the mobius strip to awe and amaze your students before drawing them into a larger discussion about the mathematical concept that it represents. If possible, make math puzzles physical using recycled craft supplies or modular tools.

Afterward, have a class discussion or put up math journal prompts. What methods did your students try? What tools did they use? What worked and what didn’t? Having students explicitly state how they got to their solution (or even where they got stuck) challenges them to examine their process and draw conclusions from their experience.

Final thoughts on math puzzles

Be aware that it might take a while to get all your students on board -- they could be hesitant about approaching unfamiliar problems or stuck in the unenthusiasm that math class often brings. Consider creating a weekly leaderboard in your classroom for the students that complete the most puzzles, or work through a few as a class before sending students off on their own.

Instead of yawns and bored stares , get ready to see eager participants and thoughtful concentration. Whether you choose to use them as an after-class bonus, a first day of school activity or as part of a targeted lesson plan, math puzzles will delight your students while also allowing them to develop critical skills that they’ll use for the rest of their lives.

What are you waiting for? Get puzzling!

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