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20 Math Critical Thinking Questions to Ask in Class Tomorrow

chaput.caroline

  • November 20, 2023

give intentional and effective feedback for students with 10 critical thinking prompts for algebra 1

The level of apathy towards math is only increasing as each year passes and it’s up to us as teachers to make math class more meaningful . This list of math critical thinking questions will give you a quick starting point for getting your students to think deeper about any concept or problem. 

Since artificial intelligence has basically changed schooling as we once knew it, I’ve seen a lot of districts and teachers looking for ways to lean into AI rather than run from it.

The idea of memorizing formulas and regurgitating information for a test is becoming more obsolete. We can now teach our students how to use their resources to make educated decisions and solve more complex problems.

With that in mind, teachers have more opportunities to get their students thinking about the why rather than the how.

Table of Contents

Looking for more about critical thinking skills? Check out these blog posts:

  • Why You Need to Be Teaching Writing in Math Class Today
  • How to Teach Problem Solving for Mathematics
  • Turn the Bloom’s Taxonomy Verbs into Engaging Math Activities

critical thinking questions for any math class

What skills do we actually want to teach our students?

As professionals, we talk a lot about transferable skills that can be valuable in multiple jobs, such as leadership, event planning, or effective communication. The same can be said for high school students. 

It’s important to think about the skills that we want them to have before they are catapulted into the adult world. 

Do you want them to be able to collaborate and communicate effectively with their peers? Maybe you would prefer that they can articulate their thoughts in a way that makes sense to someone who knows nothing about the topic.

Whatever you decide are the most essential skills your students should learn, make sure to add them into your lesson objectives.

algebra 1 critical thinking questions. 10 topics. 190+ prompts. click to learn more

When should I ask these math critical thinking questions?

Critical thinking doesn’t have to be complex or fill an entire lesson. There are simple ways that you can start adding these types of questions into your lessons daily!

Start small

Add specific math critical thinking questions to your warm up or exit ticket routine. This is a great way to start or end your class because your students will be able to quickly show you what they understand. 

Asking deeper questions at the beginning of your class can end up leading to really great discussions and get your students talking about math.

critical thinking math problems 4th grade

Add critical thinking questions to word problems

Word problems and real-life applications are the perfect place to add in critical thinking questions. Real-world applications offer a more choose-your-own-adventure style assignment where your students can expand on their thought processes. 

They also allow your students to get creative and think outside of the box. These problem-solving skills play a critical role in helping your students develop critical thinking abilities.

connect algebra concepts to geometry applications

Keep reading for math critical thinking questions that can be applied to any subject or topic!

When you want your students to defend their answers.

  • Explain the steps you took to solve this problem
  • How do you know that your answer is correct?
  • Draw a diagram to prove your solution.
  • Is there a different way to solve this problem besides the one you used?
  • How would you explain _______________ to a student in the grade below you?
  • Why does this strategy work?
  • Use evidence from the problem/data to defend your answer in complete sentences.

When you want your students to justify their opinions

  • What do you think will happen when ______?
  • Do you agree/disagree with _______?
  • What are the similarities and differences between ________ and __________?
  • What suggestions would you give to this student?
  • What is the most efficient way to solve this problem?
  • How did you decide on your first step for solving this problem?

critical thinking math problems 4th grade

When you want your students to think outside of the box

  • How can ______________ be used in the real world?
  • What might be a common error that a student could make when solving this problem?
  • How is _____________ topic similar to _______________ (previous topic)?
  • What examples can you think of that would not work with this problem solving method?
  • What would happen if __________ changed?
  • Create your own problem that would give a solution of ______________.
  • What other math skills did you need to use to solve this problem?

Let’s Recap:

  • Rather than running from AI, help your students use it as a tool to expand their thinking.
  • Identify a few transferable skills that you want your students to learn and make a goal for how you can help them develop these skills.
  • Add critical thinking questions to your daily warm ups or exit tickets.
  • Ask your students to explain their thinking when solving a word problem.
  • Get a free sample of my Algebra 1 critical thinking questions ↓

10 free math critical thinking writing prompts for algebra 1 and algebra 2

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  • Critical Thinking

How To Encourage Critical Thinking in Math

By Mary Montero

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Critical thinking in math helps students learn to analyze and evaluate math concepts, identify patterns and relationships, and explore different strategies.

Critical thinking is more than just a buzzword… It’s an essential skill that helps students develop problem-solving abilities and make logical connections between different concepts. By encouraging critical thinking in math, students learn to approach problems more thoughtfully, they learn to analyze and evaluate math concepts, identify patterns and relationships, and explore different strategies for finding the solution. Critical thinking also involves a great deal of persistence. Those are critical life skills!

When you think about it, students are typically asked to solve math problems and find the answer. Showing their work is frequently stressed too, which is important, but not the end. Instead, students need to be able to look at math in different ways in order to truly grasp a complete understanding of math concepts. Mathematics requires logical reasoning, problem-solving, and abstract thinking.

Critical thinking in math helps students learn to analyze and evaluate math concepts, identify patterns and relationships, and explore different strategies.

What Does Critical Thinking in Math Look Like?

When I think about critical thinking in math, I focus on:

  • Solving problems through logical thinking . Students learn how to break down complex problems, analyze the different parts, and understand how they fit together logically.
  • Identifying patterns and making connections. Students learn how to identify patterns across different math concepts, make connections between seemingly unrelated topics, and develop a more in-depth understanding of how math works.
  • Evaluating and comparing solutions. Students learn to evaluate which solution is best for a given problem and identify any flaws in their reasoning or others’ reasoning when looking at different solutions

Mathematician Posters

These FREE Marvelous Mathematician posters have been a staple in my classroom for the last 8+ years! I first started using a version from MissMathDork and adapted them for my classroom over the years. 

free marvelous mathematician posters

I print, laminate, and add magnetic stickers on the back. At the beginning of the year, I only put one or two up at a time depending on our area of focus. Now, they are all hanging on my board, and I’ll pull out different ones depending on our area of focus. They are so empowering to my mathematicians and help them stay on track!

A Marvelous Mathematician:

  • knows that quicker doesn’t mean better
  • looks for patterns
  • knows mistakes happen and keeps going
  • makes sense of the most important details
  • embraces challenges and works through frustrations
  • uses proper math vocabulary to explain their thinking
  • shows their work and models their thinking
  • discusses solutions and evaluates reasonableness
  • gives context by labeling answers
  • applies mathematical knowledge to similar situations
  • checks for errors (computational and conceptual)

Critical Thinking Math Activities

Here are a few of my favorite critical thinking activities. 

Square Of Numbers

I love to incorporate challenge problems (use Nrich and Openmiddle to get started) because they teach my students so much more than how to solve a math problem. They learn important lessons in teamwork, persistence, resiliency, and growth mindset. We talk about strategies for tackling difficult problems and the importance of not giving up when things get hard.

This square of numbers challenge was a hit!

ALL kids need to feel and learn to embrace challenge. Oftentimes, kids I see have rarely faced an academic challenge. Things have just come easy to them, so when it doesn’t, they can lack strategies that will help them. In fact, they will often give up before they even get started.

I tell them it’s my job to make sure I’m helping them stretch and grow their brain by giving them challenges. They don’t love it at first, but they eventually do! 

This domino challenge was another one from Nrich . I’m always on the hunt for problems like this!!  How would you guide students toward an answer??

Nrich domino challenge math puzzler for critical thinking in math

Fifteen Cards

This is a well-loved math puzzle with my students, and it’s amazing for encouraging students to consider all options when solving a math problem.

fifteen cards Nrich math puzzler for critical thinking in math

We have number cards 1-15 (one of each number) and only seven are laid out. With the given clues, students need to figure out which seven cards should be put out and in what order. My students love these, and after they’ve done a few, they enjoy creating their own, too! Use products, differences, and quotients to increase the challenge.

This is also adapted from Nrich, which is an AMAZING resource for math enrichment!

This is one of my favorite fraction lessons that I’ve done for years! Huge shout out to Meg from The Teacher Studio for this one. I give each child a slip of paper with this figure and they have to silently write their answer and justification. Then I tally up the answers and have students take a side and DEBATE with their reasoning! It’s an AMAZING conversation, and I highly recommend trying it with your students. 

Sometimes we leave it hanging overnight and work on visual models to make some proofs. 

fourths math puzzler

Logic Puzzles

Logic puzzles are always a hit too! You can enrich and extend your math lessons with these ‘Math Mystery’ logic puzzles that are the perfect challenge for 4th, 5th, and 6th grades. The puzzles are skills-based, so they integrate well with almost ANY math lesson. You can use them to supplement instruction or challenge your fast-finishers and gifted students… all while encouraging critical thinking about important math skills!

 math logic puzzles for critical thinking in math

Three levels are included, so they’re perfect to use for differentiation.

  • Introductory logic puzzles are great for beginners (4th grade and up!)
  • Advanced logic puzzles are great for students needing an extra challenge
  • Extra Advanced logic puzzles are perfect for expert solvers… we dare you to figure these puzzles out! 

Do you have a group of students who are ready for more of a fraction challenge? My well-loved fraction puzzlers are absolutely perfect for fraction enrichment. They’ll motivate your students to excel at even the most challenging tasks! 

fraction math puzzlers for critical thinking

Math Projects

Math projects are another way to differentiation while building critical thinking skills. Math projects hold so much learning power with their real-world connections, differentiation options, collaborative learning opportunities, and numerous avenues for cross curricular learning too. 

If you’re new to math projects, I shared my best tips and tricks for using math projects in this blog post . They’re perfect for cumulative review, seasonal practice, centers, early finisher work, and more.

math projects upper elementary

I use both concept-based math projects to focus on specific standards and seasonal math projects that integrate several skills.

Place Value Detectives Lay 804151 2642763 1

Error Analysis

Finally, error analysis is always a challenging way to encourage critical thinking. When we use error analysis, we encourage students to analyze their own mistakes to prevent making the same mistakes in the future.

For my gifted students, I use error analysis tasks as an assessment when they have shown mastery of a unit during other tasks. For students in the regular classroom needing enrichment, I usually have them complete the tasks in a center or with a partner.

For students needing extra support, we complete error analysis in small groups.  We go step-by-step through the concept and they are always able to eventually identify what the error is. It is so empowering to students when they finally figure out the error AND it helps prevent them from making the same error in the future!

My FREE addition error analysis is a good place to start, no matter the grade level. I show them the process of walking through the problem and how best to complete an error analysis task.

When you’re ready for more, this bundle of error analysis tasks contains more than 240 tasks to engage and enrich your students in critical thinking practice.

Division Strategies Error AnalysisIMG 0763 3512378 6647195 jpg

If you want to dig even deeper, visit this conceptual vs computational error analysis post to learn more about using error analysis in the classroom. 

analyzing errors anchor chart for error analysis

Related Critical Thinking Posts

  • How to Increase Critical Thinking and Creativity in Your “Spare” Time
  • More Tips to Increase Critical Thinking

Critical thinking is essential for students to develop a deeper understanding of math concepts, problem-solving skills, and a stronger ability to reason logically. When you learn how to encourage critical thinking in math, you’re setting your students up for success not only in more advanced math subjects they’ll encounter, but also in life. 

How do you integrate critical thinking in your classroom? Come share your ideas with us in our FREE Inspired In Upper Elementary Facebook group .

facebook group promo 3

Mary Montero

I’m so glad you are here. I’m a current gifted and talented teacher in a small town in Colorado, and I’ve been in education since 2009. My passion (other than my family and cookies) is for making teachers’ lives easier and classrooms more engaging.

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One Comment

Mary Thankyou for your inspirational activities. I have just read and loved the morning talk activities. I do have meetings with my students but usually at end of day. What time do you

critical thinking math problems 4th grade

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Check Out These 50 Fourth Grade Math Word Problems of the Day

Mr. Smith’s class collected coins in a big jar for 6 months.

Check Out These 50 Fourth Grade Math Word Problems of the Day

Opening your daily math lesson with a Fourth Grade Math Word Problem of the Day is an excellent way to set the stage for learning! Incorporate them at the start of your math block to build confidence, critical thinking skills, and a learning community. Students will get used to reading for meaning, while also identifying key information. Encourage students to write out equations and draw pictures to explain their thinking, since this helps them see the light when they are stuck!

Topics in these fourth grade math word problems cover patterns & place value, addition/subtraction, multiplication, division, fractions, decimals, measurement, and comparisons. If you’d like even more math word problems, we publish them daily on our kid-friendly site: the Daily Classroom Hub . Make sure to bookmark the link!

Want this entire set of word problems in one easy document? Get your free PowerPoint bundle by submitting your email here . All you need to do is post one of the problems on your whiteboard or projector screen. Then let kids take it from there.

50 Fourth Grade Math Word Problems

1. jill wrote the number 730,918. she challenged jane to rearrange the digits to create the highest possible number. what number did jane make.

Jill wrote the number 730,918. She challenged Jane to rearrange the digits to create the highest possible number. What number did Jane make?

2. Marcus was given this puzzling pattern and asked to complete it. Which two numbers should he should write next? 4, 7, 11, 14, 18, 21, 25, ___, ___

Marcus was given this puzzling pattern and asked to complete it. Which two numbers should he should write next?

3. Mr. Mathematica gave his class these digits: 1, 5, 7, 9, 2, 8, and 5. He asked them to make the smallest number possible using every digit once. What would that number be?

Mr. Mathematica gave his class these digits: 1, 5, 7, 9, 2, 8, and 5. He asked them to make the smallest number possible using every digit once. What would that number be?

4. The detectives found this number pattern as part of the code on a keypad to unlock a vault. 27, 26, 24, 23, 21, __, __. What are the last two numbers they should punch in?

The detectives found this number pattern as part of the code on a keypad to unlock a vault. 27, 26, 24, 23, 21, __, __. What are the last two numbers they should punch in?

5. Tom’s bicycle cost $50 more than Bob’s bicycle. Bob’s bicycle cost $180. How much did Tom’s bicycle cost?

Tom’s bicycle cost $50 more than Bob’s bicycle. Bob’s bicycle cost $180. How much did Tom’s bicycle cost?

6. Randy bought 2 baseball hats for $5.25 each. He also bought 2 wrist bands for $2.50 each. How much money did he spend?

Randy bought 2 baseball hats for $5.25 each. He also bought 2 wrist bands for $2.50 each. How much money did he spend?

7. Lots of birds were spotted at the new bird feeder. There were 12 sparrows, 15 crows, 8 orioles, 3 squirrels, and 9 cardinals. How many birds were there in all?

Lots of birds were spotted at the new bird feeder. There were 12 sparrows, 15 crows, 8 orioles, 3 squirrels, and 9 cardinals. How many birds were there in all?

8. There were lots of visitors to the town history museum this past winter. There were 75 in December, 98 in January, and 69 in February. How many visitors did the museum have this past winter in total?

There were lots of visitors to the town history museum this past winter. There were 75 in December, 98 in January, and 69 in February. How many visitors did the museum have this past winter in total?

9. Luis was setting up his new office. He bought a new computer for $350. He also bought a printer for $99 and two ink cartridges for $37 each. How much did he spend?

Luis was setting up his new office. He bought a new computer for $350. He also bought a printer for $99 and two ink cartridges for $37 each. How much did he spend?

10. There was a big sale at the Super Duper Shoe Store for 3 days. They sold 87 pairs of shoes on Friday, 95 pairs of shoes on Saturday, and 83 pairs of shoes on Sunday. How many pairs of shoes were sold all together?

There was a big sale at the Super Duper Shoe Store for 3 days. They sold 87 pairs of shoes on Friday, 95 pairs of shoes on Saturday, and 83 pairs of shoes on Sunday. How many pairs of shoes were sold all together?

11. Pia had a huge sticker collection. She had 280 stickers. Her friend, Jen, had 155 stickers in her collection. How many more stickers did Pia have than Jen?

critical thinking math problems 4th grade

12. Robyn scored a total of 155 points in basketball this season for the Tarrytown Tigers. She had 30 rebounds as well. Last season she scored 106 points. How many more points did she score this season than last season?

Robyn scored a total of 155 points in basketball this season for the Tarrytown Tigers. She had 30 rebounds as well. Last season she scored 106 points. How many more points did she score this season than last season?

13. John went to lunch at the Cool Cat Cafe. He spent $1.25 on a juice drink and $5.50 on a sandwich. He also bought a brownie for 99 cents. He gave the cashier a $20 bill. How much change did he get?

John went to lunch at the Cool Cat Cafe. He spent $1.25 on a juice drink and $5.50 on a sandwich. He also bought a brownie for 99 cents. He gave the cashier a $20 bill. How much change did he get?

14. Race Car Ralph drove 1,000 miles in the big cross-country auto race. 775 of those miles were with his dog, Speedy, in the car. The rest of the way, he drove alone. How many miles did Ralph drive without Speedy?

Race Car Ralph drove 1,000 miles in the big cross-country auto race. 775 of those miles were with his dog, Speedy, in the car. The rest of the way, he drove alone. How many miles did Ralph drive without Speedy?

15. Best Baked Bakery baked 10,250 holiday cookies. They sold almost all of them. Only 56 were left. How many holiday cookies did they sell?

Best Baked Bakery baked 10,250 holiday cookies. They sold almost all of them. Only 56 were left. How many holiday cookies did they sell?

16. There were 3 cats and 4 geese in the barnyard. How many total legs were there?

There were 3 cats and 4 geese in the barnyard. How many total legs were there?

17. Donna picks 5 apples every minute in the orchard. How many apples does she pick in 20 minutes?

Donna picks 5 apples every minute in the orchard. How many apples does she pick in 20 minutes?

18. Morris the magician pulled 2 doves out of his hat, twice as many rabbits as doves, and 4 times as many mice as rabbits. How many animals did he pull out of his hat?

Morris the magician pulled 2 doves out of his hat, twice as many rabbits as doves, and 4 times as many mice as rabbits. How many animals did he pull out of his hat?

19. Tina is making pizzas for 15 guests. If each person (including Tina) is expected to eat 2 slices, how many 8-slice pizzas should Tina make?

Tina is making pizzas for 15 guests. If each person (including Tina) is expected to eat 2 slices, how many 8-slice pizzas should Tina make?

20. Chef Charlie is decorating a birthday cake with a circle of berries. He has 6 strawberries and would like to put 5 blueberries between each strawberry. How many blueberries does he need?

Chef Charlie is decorating a birthday cake with a circle of berries. He has 6 strawberries and would like to put 5 blueberries between each strawberry. How many blueberries does he need?

22. To make a winter stew, Jamal needs 3 pounds of sweet potatoes. If they cost $1.29 per pound, what will it cost to buy enough sweet potatoes?

To make a winter stew, Jamal needs 3 pounds of sweet potatoes. If they cost $1.29 per pound, what will it cost to buy enough sweet potatoes?

22. The Hotel Swanky has 10 floors. Each floor has 16 guest rooms. There is also a ballroom, two meeting rooms, and a restaurant. How many guest rooms are in the hotel?

The Hotel Swanky has 10 floors. Each floor has 16 guest rooms. There is also a ballroom, two meeting rooms, and a restaurant. How many guest rooms are in the hotel?

23. Mrs. Mason got a new bookcase for the library and filled it with books. There were 6 shelves. The top two shelves had 50 books on each shelf. The bottom four shelves had 75 books on each shelf. How many books were there in the new bookcase?

Mrs. Mason got a new bookcase for the library and filled it with books. There were 6 shelves. The top two shelves had 50 books on each shelf. The bottom four shelves had 75 books on each shelf. How many books were there in the new bookcase?

24. The cafeteria ordered 6 packs of jumbo chocolate chip cookies and 3 packs of brownies. Each pack of cookies had 12 cookies in it. They sold 45 cookies and 30 brownies. How many cookies are left?

The cafeteria ordered 6 packs of jumbo chocolate chip cookies and 3 packs of brownies. Each pack of cookies had 12 cookies in it. They sold 45 cookies and 30 brownies. How many cookies are left?

25. The new elementary school has 30 desks in each classroom. There are four classrooms for each grade. There are 5 grades in the school. How many desks are there in the school?

The new elementary school has 30 desks in each classroom. There are four classrooms for each grade. There are 5 grades in the school. How many desks are there in the school?

26. Gina planted six rows of carrots in her garden. Each row had 30 carrots. Rabbits ate half of her carrots. How many carrots did she have left?

Gina planted six rows of carrots in her garden. Each row had 30 carrots. Rabbits ate half of her carrots. How many carrots did she have left?

27. Jack planted a magic bean. The bean plant that grew was 1 foot tall on the first day. Then it doubled in height each day. How tall was the plant on the fifth day?

Jack planted a magic bean. The bean plant that grew was 1 foot tall on the first day. Then it doubled in height each day. How tall was the plant on the fifth day?

28. Big Brain University bought 15 new supercomputers and 50 printers. Each supercomputer cost $5,300. A printer cost $100. How much did the university spend buying new computers?

Big Brain University bought 15 new supercomputers and 50 printers. Each supercomputer cost $5,300. A printer cost $100. How much did the university spend buying new computers?

29. The new golf course had 3 tournaments every month this year. The course is open 12 months a year. Each tournament was limited to 101 golfers and was full. How many golfers played in the tournaments all together this year?

The new golf course had 3 tournaments every month this year. The course is open 12 months a year. Each tournament was limited to 101 golfers and was full. How many golfers played in the tournaments all together this year?

30. The school office printer can print 200 pages every 10 minutes. If the printer runs for an hour straight, how many pages can it print?

The school office printer can print 200 pages every 10 minutes. If the printer runs for an hour straight, how many pages can it print?

31. Lucia makes beaded bracelets. Each bracelet has 12 beads on it. She made 55 bracelets for each of the school fairs. The school had 3 fairs. How many bracelets did Lucia make?

Lucia makes beaded bracelets. Each bracelet has 12 beads on it. She made 55 bracelets for each of the school fairs. The school had 3 fairs. How many bracelets did Lucia make?

32. Sammy Speedball is a pitcher for the Boogaloo Bearcats. He practiced his pitching on Saturday for an hour in the morning and an hour after dinner. He threw 20 pitches every 30 minutes. How many practice pitches did Sammy throw on Saturday?

Sammy Speedball is a pitcher for the Boogaloo Bearcats. He practiced his pitching on Saturday for an hour in the morning and an hour after dinner. He threw 20 pitches every 30 minutes. How many practice pitches did Sammy throw on Saturday?

33. Serena had 35 cherries. She gave 8 to each of her sisters. She still has 3 left over. How many sisters does Serena have?

Serena had 35 cherries. She gave 8 to each of her sisters. She still has 3 left over. How many sisters does Serena have?

34. The new teacher was giving out pencils to her class for the year. She wanted to give them out evenly. She had 15 packs of pencils with 10 pencils in each pack. She had 20 students. How many pencils should each student get? How many pencils would be left over?

The new teacher was giving out pencils to her class for the year. She wanted to give them out evenly. She had 15 packs of pencils with 10 pencils in each pack. She had 20 students. How many pencils should each student get? How many pencils would be left over?

35. 150 kids signed up for the summer soccer league. There are going to be ten teams, and the Dragons are one of the teams. Each team has 3 coaches and they want an equal number of players on each team. How many players should be on the Dragons?

36. the wonderful widget company produces 480 widgets every day. they have 6 widget making machines running every day, with each machine making equal amounts of widgets. the company runs six days a week. how many widgets does each machine make.

The Wonderful Widget Company produces 480 widgets every day. They have 6 widget making machines running every day, with each machine making equal amounts of widgets. The company runs six days a week. How many widgets does each machine make?

37. Farmer Fran has 35 hens. Each hen lays a dozen eggs a day. Fran packs the eggs into packs of ten. How many packs of eggs does she pack per day?

Farmer Fran has 35 hens. Each hen lays a dozen eggs a day. Fran packs the eggs into packs of ten. How many packs of eggs does she pack per day?

38. ReadOn Publishers gives free books to schools every year on the last day of the year. They have 900 books for this year’s giveaway. 18 schools have applied for the free books. How many should each school get if they are evenly distributed?

ReadOn Publishers gives free books to schools every year on the last day of the year. They have 900 books for this year’s giveaway. 18 schools have applied for the free books. How many should each school get if they are evenly distributed?

39. Coach Cindy is meeting with each player for practice individually. Each player will get 15 minutes with the coach. Coach Cindy has 2 hours for this on Saturday. How many players can she meet with?

Coach Cindy is meeting with each player for practice individually. Each player will get 15 minutes with the coach. Coach Cindy has 2 hours for this on Saturday. How many players can she meet with?

40. Dr. Bea Well has 120 patients. ¼ of them wear glasses. How many of her patients don’t wear glasses?

Dr. Bea Well has 120 patients. ¼ of them wear glasses. How many of her patients don’t wear glasses?

41. Lucy has 24 stuffed animals. She loves elephants, and one-third of her stuffed animals are elephants. Half of the elephants are gray. How many elephants does she have?

Lucy has 24 stuffed animals. She loves elephants, and one-third of her stuffed animals are elephants. Half of the elephants are gray. How many elephants does she have?

42. Annie collects seashells. She has 120 shells in her collection. They are from both the Atlantic Ocean and the Pacific Ocean. ž of the shells are from the Atlantic Ocean. How many shells are from the Pacific Ocean?

Annie collects seashells. She has 120 shells in her collection. They are from both the Atlantic Ocean and the Pacific Ocean. ž of the shells are from the Atlantic Ocean. How many shells are from the Pacific Ocean?

43. Bill has 7/8 of his homework done. Andy has 9/10 of his homework done. They have the same amount of homework. Who has more homework done?

Bill has 7/8 of his homework done. Andy has 9/10 of his homework done. They have the same amount of homework. Who has more homework done?

44. Jose was offered 2/5 of a jumbo chocolate bar or 3/6 of the same bar. He loves chocolate. Which should he choose if he wants the most chocolate?

Jose was offered 2/5 of a jumbo chocolate bar or 3/6 of the same bar. He loves chocolate. Which should he choose if he wants the most chocolate?

45. Janelle has 6 notebooks for school. Donnie has 1/3 more than Janelle. How many notebooks do Janelle and Donnie have all together?

Janelle has 6 notebooks for school. Donnie has 1/3 more than Janelle. How many notebooks do Janelle and Donnie have all together?

46. Tonya found two small interesting stones. The black one weighs 0.3 of an ounce. The red one weighs 0.09 of an ounce. Which stone weighs more?

Tonya found two small interesting stones. The black one weighs 0.3 of an ounce. The red one weighs 0.09 of an ounce. Which stone weighs more?

47. Leah has a baseball bat that is 2 and a half feet long. Bryson has a bat that is 28 inches long and another one that is 2 feet and 5 inches long. Who has the longest bat?

Leah has a baseball bat that is 2 and a half feet long. Bryson has a bat that is 28 inches long and another one that is 2 feet and 5 inches long. Who has the longest bat?

48. Mr. Smith’s class collected coins in a big jar for 6 months. Their coins weighed 2 pounds and 8 ounces. Ms. Smith’s class did the same thing. Their coins weighed 2 ½ pounds. Whose coins weighed more?

Mr. Smith’s class collected coins in a big jar for 6 months. Their coins weighed 2 pounds and 8 ounces. Ms. Smith’s class did the same thing. Their coins weighed 2 ½ pounds. Whose coins weighed more?

49. The track team was practicing for the big meet. Tim ran for 25 minutes every day for 5 days. Tom ran an hour every day for 3 days. Who spent the most time running?

The track team was practicing for the big meet. Tim ran for 25 minutes every day for 5 days. Tom ran an hour every day for 3 days. Who spent the most time running?

50. The Jones family left for the airport at 10:00 a.m. for vacation. Their flight leaves at 12:30 p.m. They stopped twice for 10 minutes each time. They got to the airport at 11:30 p.m. How much time did they spend driving?

The Jones family left for the airport at 10:00 a.m. for vacation. Their flight leaves at 12:30 p.m. They stopped twice for 10 minutes each time. They got to the airport at 11:30 p.m. How much time did they spend driving?

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Math Logic Problems

Welcome to our Math Logic Problems worksheets. All the problems on this page require children to use their reasoning and logic thinking skills to solve.

There are a range of worksheets on this page with varying levels of difficulty from 1st grade up to 5th grade.

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Logic puzzle problems are a set of problems which involve children using their reasoning and logical thinking skills.

Sometimes children who struggle in other areas of math, such as number work, find that this is an area which they excel in.

Some of the math logic problems on this page work like traditional logic puzzles with table grids to fill in, but most of the sheets simply involve children using their thinking and resoning to solve the problems on the page.

All the logic puzzle worksheets on this page come with an answer sheet.

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The problems on this page all involving solving Logic Problems.

Some of the sheets on this page include tables and way to support children with their recording and organising their work.

Some of the sheets have a space for children to record their own thinking and working out, with no support in recording.

The level of the worksheets goes from 1st grade to 5th grade (UK Years 1 to 6).

Using these sheets will help your child to:

  • deveolop their reasoning and thinking skills;
  • support and develop recording skills;
  • solve a range of logic puzzles.

Logic Problems Worksheets

1st grade problems, share the treasure.

Share the Treasure involves sharing out 20 gold bars equally into 4 piles. The second part of the activity involves sharing out the bars using four rules.

  • Share the Treasure 1
  • PDF version
  • Who Chose Which Shape #1

Who Chose Which Shape is a logic problem where children have to work out which salamander chose which shape from the clues given.

2nd Grade Problems

  • Birthday Girl

Birthday Girl is an activity which involves finding the correct ages of all the people in the challeges using the clues that are given.

  • Share the Treasure #2

Share the Treasure is a logic acitivity where the aim is to share some treasure according to certain criteria.

  • Who Chose Which Shape #2

Who Chose Which Shape is a math logic problem where children have to work out which salamander chose which shape from the clues given.

3rd Grade Problems

  • Color that Shape

Color that Shape is a coloring activity which uses logical thinking to work out which shape needs to be shaded which color.

Join Me Up is an logical puzzle where the aim is to place the numbers from 1 to 7 into the puzzle so that no consecutive numbers are next to each other.

  • Spot the Digits

Spot the Digits is a logic activity where children have to find out the values of the letters a, b, c and d. The values can be determined by using the 3 clues.

4th Grade Problems

Quadra's magic bag challenges.

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

  • Quadra's Magic Bag Challenge
  • Four Dogs Problem

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

Who Caught the Biggest FIsh?

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

  • Who Caught the Biggest Fish?

5th Grade Problems

  • Who Chose Which?

Who Chose Which is a logical number activity where you need to use the clues to work out which numbers each of the salamanders chose.

  • Birthday Bonanza

Birthday Bonanza is a logic problem which requires logical thinking to work out who got which present and how old each of them was.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Other Word Problems by the Math Salamanders

Finding all possibilities problems.

This is our finding all possibilities area where all the worksheets involve finding many different answers to the problem posed.

The sheets here encourage systematic working and logical thinking.

The problems are different in that, there is typically only one problem per sheet, but the problem may take quite a while to solve!

  • Finding all Possibilities problems

Math Real-Life Word Problems by Grade

We have a variety of different problem solving worksheets, including 'real-life' problems.

The sheets go from 1st through 5th grade.

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  • 5th Grade Math Problems

Fraction Problems

Here you will find a range of fraction word problems to help your child apply their fraction learning.

The worksheets cover a range of fraction objectives, from adding and subtracting fractions to working out fractions of numbers. The sheets support fraction learning from 2nd grade to 5th grade.

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Ratio Problems

Here you will find a range of ratio word problems to help your child understand what a ratio is and how ratios work.

The sheets support ratio learning at a 5th grade level.

We hope you have enjoyed our Math Logic Problems on this page. Please leave a comment at the bottom of the page if you like them!

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Thinking Skills - Grade 4 Math Questions With Answers

Grade 4 math questions on thinking with answers are presented. Challenging questions are necessary to develop thinking skill abilities.

  • Janet has more toys that John.
  • Bill has more toys than Mark.
  • Janet has more toys than Mark.
  • Mark has more toys than Bill.
  • Yung, Toby, Jack, Jill (first)
  • Jill, Jack, Toby, Yung (first)
  • Jill, Toby, Jill, Yung (first)
  • Jill, Yung, Toby, Jack (first)
  • Bob is older than Malcom.
  • Tony is older than all of them.
  • Janette is older than Malcom.
  • Tony is younger than Janette.
  • George spent less than Billy.
  • Billy spent more than George.
  • Joe spent more than Billy.
  • George spent more than Joe.
  • T:3 , M:6 , C:5
  • T:5 , M:3 , C:6
  • T:6 , M:5 , C:3
  • T:3 , M:5 , C:6
  • Dalida : Salad & soup , Jane : steak & fries , Kristy : fish & fries
  • Dalida : Salad & soup , Jane : fish & fries , Kristy : steak & fries
  • Dalida : steak & fries , Jane : Salad & soup , Kristy : fish & fries
  • Dalida : fish & fries , Jane : Salad & soup , Kristy : steak & fries
  • Find a number such that: 1 - It is a 3-digit number and all its digits are odd. 2 - Its hundreds digit is equal to 3. 3 - The sum of its hundred and tens digits is 10. 4 - The sum of its tens and ones digits is 10.

Answers to the Above Questions

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Spectrum Grade 4 Critical Thinking for Math Workbook, Ages 9 to 10, Multiplication, Division, Fractions, Decimals, Geometry, Critical Thinking 4th ... 4th Grade Math Workbook for Kids (Volume 17)

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Spectrum Grade 4 Critical Thinking for Math Workbook, Ages 9 to 10, Multiplication, Division, Fractions, Decimals, Geometry, Critical Thinking 4th ... 4th Grade Math Workbook for Kids (Volume 17) Paperback – April 13, 2017

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Critical Thinking Math Grade 4 Workbook for kids ages 9+

Support your child’s educational journey with Spectrum’s Critical Thinking 4th Grade Math Workbook that teaches essential 4th grade math skills.

Critical Thinking 4th grade math workbooks are a great way for students to learn critical thinking skills such as multiplication and division, fractions, decimals, geometry, and more through a variety of learning activities that are both fun AND educational!

Why You’ll Love This Math Book

  • Engaging and educational 4th grade math activities. “Classifying geometric figures”, “Drawing models to find missing numbers”, and “Measurement conversions” are a few of the fun math activities that incorporate critical thinking for kids to help inspire learning into your child’s classroom or homeschool curriculum.
  • Tracking progress along the way. “Check what you know” and “Check what you’ve learned” sections are included at the beginning and end of every chapter. A mid-test and final test are also included in the Spectrum math book to test student knowledge. Use the answer key to track student progress before moving on to new and exciting activities.
  • Practically sized for every activity. The 128-page math workbook is sized at about 8 inches x 11 inches―giving your child plenty of space to complete each exercise.

About Spectrum

For more than 20 years, Spectrum has provided solutions for parents who want to help their children get ahead, and for teachers who want their students to meet and exceed set learning goals―providing workbooks that are a great resource for both homeschooling and classroom curriculum.

  • 6 chapters of math activities
  • Mid-test, final test, and answer key
  • “Check what you’ve learned” and “Check what you know” reviews
  • Print length 128 pages
  • Language English
  • Grade level 4 and up
  • Dimensions 8.2 x 0.31 x 10.9 inches
  • Publisher Spectrum
  • Publication date April 13, 2017
  • ISBN-10 1483835510
  • ISBN-13 978-1483835518
  • See all details

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  • Publisher ‏ : ‎ Spectrum; Csm edition (April 13, 2017)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 128 pages
  • ISBN-10 ‏ : ‎ 1483835510
  • ISBN-13 ‏ : ‎ 978-1483835518
  • Reading age ‏ : ‎ 8 - 9 years, from customers
  • Grade level ‏ : ‎ 4 and up
  • Item Weight ‏ : ‎ 10.4 ounces
  • Dimensions ‏ : ‎ 8.2 x 0.31 x 10.9 inches
  • #12 in Children's Geometry Books
  • #24 in Children's Fraction Books
  • #74 in Children's Arithmetic Books

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critical thinking math problems 4th grade

Math Analogies Level 4

Analogical & mathematical reasoning puzzles using standards-based analogies.

Grades: 8-9

Mathematics

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Description and Features

Analogies occur in life and frequently in high-stakes tests. Understanding analogies and the ability to reason analogically (reasoning used to identify, evaluate, and solve an analogy) are important problem-solving skills which are an essential part of mathematical development. The immediate benefit is to recognize and solve simple analogies. The long-term benefits are improved reasoning skills that enable students to break problems into their component parts, recognize analogies embedded in arguments, and evaluate them. The 200 analogies in this 64-page book teach students to break problems down into their component parts, making it easier to recognize familiar formats that enable students to produce solutions. These analogies are designed around the grade-appropriate standards identified by the National Council of Teaching Mathematics.

Product Details

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Math Analogies prepares students to achieve top scores on all state assessments including Naglieri Nonverbal Ability Test® (NNAT®) Cognitive Abilities Test™ (CogAT®) Gifted and Talented Education (GATE) / Talented and Gifted (TAG) Wechsler Intelligence Scales for Children® (WISC®) Wechsler Preschool and Primary Scale of Intelligence™ (WPPSI™) and many more!

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COMMENTS

  1. PDF 81 Fresh & Fun Critical-Thinking Activities

    with the next problems they solve. Finally, model critical thinking for students by sharing your own problem-solv-ing strategies and accepting unusual and unexpected strategies and solutions. Your participation as an active learner will further reinforce the critical-thinking skills you teach. Above all, encourage your students to see ...

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    By encouraging critical thinking in math, students learn to approach problems more thoughtfully, they learn to analyze and evaluate math concepts, identify patterns and relationships, and explore different strategies for finding the solution. Critical thinking also involves a great deal of persistence.

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    All of our 4th grade math worksheets come as pdf files that are printable and easy to share. ... 🔒 Mixed 4 operations word problems (B) ... worksheets are focused on having students perform math in a repetitive and procedural way that requires very little critical thinking, our fourth grade math worksheets are designed to be engaging and ...

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    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 ...

  8. 4th Grade Math Problems

    The 4th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them. The skills the problems will help to develop include: systematic working. logical thinking. number fact knowledge. fraction problems. trial and improvement strategies.

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    Cite this lesson. Critical thinking is an important factor in understanding math. Discover how critical thinking can help with real-world problem solving, using examples and activities like asking ...

  11. Math Word Problems Series

    Join Our Global Community Of Critical Thinkers. K. Schools. 120. Countries. 36M. Students. Math Word Problems helps students conquer the "dreaded" math word problem by teaching them how and when to apply the math operations they know to real-life situations. The developmentally sequenced problems in each book are arranged so they cannot be s.

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    Daily Math Warm-Ups 538 Data Analysis and Probability for 5th Grade. This math daily warm up worksheet for grades 4 to 6 features problem-solving strategies with math problems. For this…. Browse our printable 4th Grade Logic and Problem Solving Worksheets resources for your classroom. Download free today!

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    Math Logic Problems. Logic puzzle problems are a set of problems which involve children using their reasoning and logical thinking skills. Sometimes children who struggle in other areas of math, such as number work, find that this is an area which they excel in. Some of the math logic problems on this page work like traditional logic puzzles ...

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    2 - Both digits in the tens and ones are odd and their sum is equal to 5. 3 - The digit in the ones is larger than the digit in the tens. Find a number such that: 1 - It is a 3-digit number and all its digits are odd. 2 - Its hundreds digit is equal to 3. 3 - The sum of its hundred and tens digits is 10. 4 - The sum of its tens and ones digits ...

  17. 4th Grade Math Critical Thinking Teaching Resources

    Christy Howe. Math Logic Puzzles for 4th grade includes 14 higher order thinking puzzles designed to challenge and engage your high flyers and fast finishers. Your students will utilize critical thinking and problem solving skills while building a solid understanding of essential math concepts and skills.

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  20. 4th grade critical thinking resources

    Created by. Christy Howe. Math Logic Puzzles for 4th grade includes 14 higher order thinking puzzles designed to challenge and engage your high flyers and fast finishers. Your students will utilize critical thinking and problem solving skills while building a solid understanding of essential math concepts and skills.

  21. Mathematical Reasoning™ Grades 2-4 Supplement

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  22. Worksheet Library: Critical Thinking: Grades 3-5

    Scratch Your Brain. Use addition and subtraction to figure out solutions to these brain benders. (Grades 3-5) From One Word to the Next. Change a letter in the previous word to make the word that completes each phrase. (Grades 3-5) Root Words. Complete this activity about words that have /capt/ or /tact/ as a root.

  23. Math Analogies Level 4

    The 200 analogies in this 64-page book teach students to break problems down into their component parts, making it easier to recognize familiar formats that enable students to produce solutions. These analogies are designed around the grade-appropriate standards identified by the National Council of Teaching Mathematics. Details.