critical thinking maths questions with answers

• Math Resources Links
• Math in the Real World
• Differentiated Math Unlocked
• Math in the Real World Workshop

20 Math Critical Thinking Questions to Ask in Class Tomorrow

• November 20, 2023

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

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.

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.

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.

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?

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 ↓

Share this:

7 thoughts on “20 math critical thinking questions to ask in class tomorrow”.

I would love to see your free math writing prompts, but there is no place for me to sign up. thank you

Ahh sorry about that! I just updated the button link!

Pingback:  How to Teach Problem Solving for Mathematics -

Pingback:  5 Ways Teaching Collaboration Can Transform Your Math Classroom

Pingback:  3 Ways Math Rubrics Will Revitalize Your Summative Assessments

Pingback:  How to Use Math Stations to Teach Problem Solving Skills

Pingback:  How to Seamlessly Add Critical Thinking Questions to Any Math Assessment

Leave a Reply Cancel reply

• Featured Articles
• Report Card Comments
• Needs Improvement Comments
• Teacher's Lounge
• New Teachers
• Our Bloggers
• Article Library
• Featured Lessons
• Every-Day Edits
• Lesson Library
• Emergency Sub Plans
• Character Education
• Lesson of the Day
• 5-Minute Lessons
• Learning Games
• Lesson Planning
• Subjects Center
• Teaching Grammar
• Leadership Resources
• Parent Newsletter Resources
• Advice from School Leaders
• Programs, Strategies and Events
• Principal Toolbox
• Administrator's Desk
• Interview Questions
• Professional Learning Communities
• Teachers Observing Teachers
• Tech Lesson Plans
• Science, Math & Reading Games
• Tech in the Classroom
• Web Site Reviews
• Creating a WebQuest
• Digital Citizenship
• All Online PD Courses
• Child Development Courses
• Reading and Writing Courses
• Math & Science Courses
• Classroom Technology Courses
• Classroom Management
• Responsive Classroom
• Dr. Ken Shore: Classroom Problem Solver
• Worksheet Library
• Highlights for Children
• Venn Diagram Templates
• Reading Games
• Word Search Puzzles
• Math Crossword Puzzles
• Geography A to Z
• Holidays & Special Days
• Internet Scavenger Hunts
• Student Certificates

Newsletter Sign Up

Lesson Plans

• General Archive
• Health & Safety
• Interdisciplinary
• Language Arts
• PE & Sports
• Social Science
• Special Ed & Guidance
• Special Themes
• Top LP Features
• Article Archive
• User Submitted LPs
• Box Cars Math Games
• Every Day Edits
• Five Minute Fillers
• Holiday Lessons
• News for Kids
• ShowBiz Science
• Student Engagers
• Work Sheet Library
• More LP Features
• Calculator Lessons
• Coloring Calendars
• Friday Fun Lessons
• Math Machine
• Month of Fun
• Reading Machine
• Tech Lessons
• Writing Bug
• All Work Sheets
• Critical Thinking Work Sheets
• Animals A to Z
• Backpacktivities
• EveryDay Edits
• Hunt the Fact Monster
• It All Adds Up Math Puzzles
• Make Your Own Work Sheets
• Math Cross Puzzles
• Mystery State
• Math Practice 4 You
• Phonics Word Search Puzzles
• Readers Theater Scripts
• Sudoku Puzzles
• Vocabulous!
• Back to School
• Back to School Archive
• Icebreaker Activities
• Preparing for the First Day
• Ideas for All Year
• The Homework Dilemma
• First Year Teachers
• Don't Forget the Substitute
• More Great Ideas for the New School Year
• Early Childhood
• Best Books for Educators
• Assessments
• Award Certificates
• Bulletin Board Resources
• Classroom Organizers
• Graphic Organizers
• Newsletters
• Parent Teacher Communications
• More Templates

Search form

Engage student's critical thinking skills with the use of these worksheets in the classroom.

Click here: critical_thinking_034-download.pdf to download the document.

Ew lesson plans.

EW Professional Development

Ew worksheets.

Sign up for our free weekly newsletter and receive

top education news, lesson ideas, teaching tips and more!

No thanks, I don't need to stay current on what works in education!

COPYRIGHT 1996-2016 BY EDUCATION WORLD, INC. ALL RIGHTS RESERVED.

COPYRIGHT 1996 - 2024 BY EDUCATION WORLD, INC. ALL RIGHTS RESERVED.

• SchoolNotes.com
• The Educator's Network

Check Out the New Website Shop!

Novels & Picture Books

Anchor Charts

• Critical Thinking

How To Encourage Critical Thinking in Math

By Mary Montero

Share This Post:

• Facebook Share
• Twitter Share
• Pinterest Share
• Email Share

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.

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. 

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??

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.

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. 

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!

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! 

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.

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

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.

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. 

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 .

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.

You might also like…

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

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

©2023 Teaching With a Mountain View . All Rights Reserved | Designed by Ashley Hughes

Username or Email Address

Remember Me

Lost your password?

Review Cart

No products in the cart.

Critical Thinking Questions for 6th Grade Math

Activities to help students answer inferential questions.

Sixth grade students have mastered the four operations of mathematics -- addition, subtraction, division and multiplication. By the end of the year, these middle school students have used these operations with decimals, fractions and negative numbers. At this point, math also involves reasoning, building on knowledge and observing; these skills are encouraged by higher level questions and participation from the students in a collaborative setting.

Open Questions

Asking open questions is a way to provide an opportunity for your students to think critically. For example, asking the sixth grade students how many polygons they can make with an area of 24 units is an open question. A closed question with the same objective is to have a polygon drawn and ask them the area of that polygon. Open questions can have more than one answer, and differentiation occurs automatically with this type of question. The more advanced students search for many ways to construct the polygon and answer the question. Other students also try to find a polygon to meet the criteria, realize that finding the many answers is valued, and continue working. Discussion of the different ways to answer the open question adds value to the question in the sixth grade classroom.

Questioning Words

In Bloom's Taxonomy, a collection of verbs is divided into levels of thinking. Appraise, compare, contrast, criticize, differentiate, discriminate, distinguish, examine and question are verbs from Bloom's "analyzing" level, which encourages critical thinking. For example, having your sixth graders compare the distances around various circles' circumferences to their diameter measurements is a great introduction to pi and the formula for the circumference of a circle. It is also a critical thinking question which promotes exploration.

Great questions are wasted if wait time is not given for the answers. Too often teachers don't allow the students time to think and answer, blurting out the answer themselves or calling on another student. Some sixth grade students need more time to formulate their answers. Teachers should provide a few seconds of wait time for students to process the question and their answer.

Make Connections

Math builds on prior lessons. Critical thinking questions should help the sixth grade students see those relationships and connections. Teachers should ask students how the problem they are working on is connected to something they learned previously. For example, when your sixth graders are learning about ratios, you can remind them of their study of similar triangles. By asking them to think of how ratio and similar triangles are connected, the students are led to review what they have already learned about similar shapes and apply it to the study of ratios. The teacher helps the students to see the relationship between the two concepts and to deepen their understanding through the connections.

Related Articles

How to Calculate Difficulty Index

How Can You Study for the CogAT Test?

How to Use a Chi Square Test in Likert Scales

Classroom Jeopardy Game Rules

How to Take a Multiple Choice Test in Elementary School

How to Use a Guided Discovery Approach in Teaching Primary Mathematics

How to Create Bubble Scantrons

What Kind of Geometry Is Taught in High School?

• Ontario Ministry of Education: Capacity Building Series

Susan Rickey started writing in 1994 with a technology feature article for the "Pioneer Press." She was the writer of the Klamath Forest Alliance newsletter, an environmental organization. Rickey obtained her teaching credential from California State University and acquired her Bachelor of Science from the University of Arkansas.

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Newsletter   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

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.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

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.

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.

• Math Problems for Children 1st Grade
• 2nd Grade Math Word Problems
• Math Word Problems for kids 3rd Grade
• 4th Grade Math Word Problems
• 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.

• Fraction Riddles for kids (easier)
• Free Printable Fraction Riddles (harder)

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!

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

• How to Print support

Subscribe to Math Salamanders News

Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!

• Newsletter Signup

Return to Math Problem Worksheets

Return from Finding All Possibilities page to Math Salamanders Homepage

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

Or search by topic

Number and algebra

• The Number System and Place Value
• Calculations and Numerical Methods
• Fractions, Decimals, Percentages, Ratio and Proportion
• Properties of Numbers
• Patterns, Sequences and Structure
• Algebraic expressions, equations and formulae
• Coordinates, Functions and Graphs

Geometry and measure

• Angles, Polygons, and Geometrical Proof
• 3D Geometry, Shape and Space
• Measuring and calculating with units
• Transformations and constructions
• Pythagoras and Trigonometry
• Vectors and Matrices

Probability and statistics

• Handling, Processing and Representing Data
• Probability

Working mathematically

• Thinking mathematically
• Mathematical mindsets
• Cross-curricular contexts
• Physical and digital manipulatives

For younger learners

• Early Years Foundation Stage

Advanced mathematics

• Decision Mathematics and Combinatorics
• Advanced Probability and Statistics

Published 2001 Revised 2014

Using Questioning to Stimulate Mathematical Thinking

Types of questions, levels of mathematical thinking, combining the categories.

WHAT IS THE CRITICAL THINKING CHALLENGE?

The Critical Thinking Challenge is a team competition, open to all individual students, from grades 3 – 6, that promotes the practical application of mathematics, encourages teamwork, builds confidence, and increases learning skills, all while having FUN! 80% of adults "strongly agree" that K-12 schools should teach critical thinking to students, according to a Gallup poll on American attitudes toward public education. While achievement in the classroom may depend on mastery of content in core subject areas such as math and reading, Gallup says it also "depends on more than knowledge of core content. Critical thinking , creativity, communication, and other soft skills, as well as student physical and social well-being, are also necessary for future success in higher education and in the workplace." (ProCon.org)

HOW TO REGISTER FOR THE CRITICAL THINKING CHALLENGE

Participation criteria.

- Online registration only. Click the banner at the top of the page to get started.

-  Registration period: April 15 - May 12

-  3rd to 6th Graders in the 2024 Spring Semester

-  $10 non-member registration fee (FREE for Eye Level students).

COMPETITION SCHEDULE

Local event, test location: local eye level learning centers, date: may 18 or may 25 or june 1, 2024(date set by each learning center) -  25 question competition -  regardless of the school grade, all participants will answer the same questions -  after the test, the center director will make one team consisting of 2 members based on the results -  one team per eye level learning center for the national final round national final round, the final round will be conducted online via kahoot, date for the final round: june 15th, 2024 4pm (est), via kahoot.

-  Only teams who pass the 1st round will be invited to the National Final Round

-  One team from each Eye Level Learning Centers

-  Two members per team

-  To be eligible for the National Final Round, all team members must have registered online during the registration period

-  Each student's school grade must be verified by submitting an approved document prior to participation in the National Final Round

-  Total: 20 Critical Thinking Questions, which increase in difficulty as teams advance

- The teams selected for the final round will need to visit the Eye Level center to participate in the final round

- The team will need to join the Zoom meeting to participate in the final round. They will utilize additional tablets or mobile devices to access Kahoot!

This is how points are calculated:

• Divide response time by the question timer. For example, a team responded 2 seconds after a 30-second question timer started
• Divide that value by 2. For example, 0.0667 divided by 2 is 0.0333
• Subtract that value from 1. For example, 1 minus 0.0333 is 0.9667
• Multiply points possible by that value. For example, 1000 points possible multiplied by 0.9667 is 966.7
• Round to the nearest whole number. For example, 966.7 is 967 points

- The teams with the most points will win 1st, 2nd, and 3rd place

- If there is a tie, tied teams will enter a tie breaking round

NATIONAL FINAL ROUND PRIZE

Grand prize (1 team) $1,000 usd (team), 2nd place prize (1 team) $500 usd (team), 3rd place prize (1 team) $300 usd (team), sample test paper & test location.

The sample test questions are available only at your local Eye Level Learning Center.

Find the Nearest Test Location For You.

FIND YOUR TEST LOCATION

Enter your email to view registration.

To register, please click on the website's main image where it reads "Register Now."

Test Centers

Critical thinking challenge.

JavaScript seems to be disabled in your browser. For the best experience on our site, be sure to turn on Javascript in your browser.

• Order Tracking
• Create an Account

200+ Award-Winning Educational Textbooks, Activity Books, & Printable eBooks!

• Compare Products

Reading, Writing, Math, Science, Social Studies

• Search by Book Series
• Algebra I & II  Gr. 7-12+
• Algebra Magic Tricks  Gr. 2-12+
• Algebra Word Problems  Gr. 7-12+
• Balance Benders  Gr. 2-12+
• Balance Math & More!  Gr. 2-12+
• Basics of Critical Thinking  Gr. 4-7
• Brain Stretchers  Gr. 5-12+
• Building Thinking Skills  Gr. Toddler-12+
• Building Writing Skills  Gr. 3-7
• Bundles - Critical Thinking  Gr. PreK-9
• Bundles - Language Arts  Gr. K-8
• Bundles - Mathematics  Gr. PreK-9
• Bundles - Multi-Subject Curriculum  Gr. PreK-12+
• Bundles - Test Prep  Gr. Toddler-12+
• Can You Find Me?  Gr. PreK-1
• Complete the Picture Math  Gr. 1-3
• Cornell Critical Thinking Tests  Gr. 5-12+
• Cranium Crackers  Gr. 3-12+
• Creative Problem Solving  Gr. PreK-2
• Critical Thinking Activities to Improve Writing  Gr. 4-12+
• Critical Thinking Coloring  Gr. PreK-2
• Critical Thinking Detective  Gr. 3-12+
• Critical Thinking Tests  Gr. PreK-6
• Critical Thinking for Reading Comprehension  Gr. 1-5
• Critical Thinking in United States History  Gr. 6-12+
• CrossNumber Math Puzzles  Gr. 4-10
• Crypt-O-Words  Gr. 2-7
• Crypto Mind Benders  Gr. 3-12+
• Daily Mind Builders  Gr. 5-12+
• Dare to Compare Math  Gr. 2-7
• Developing Critical Thinking through Science  Gr. 1-8
• Dr. DooRiddles  Gr. PreK-12+
• Dr. Funster's  Gr. 2-12+
• Editor in Chief  Gr. 2-12+
• Fun-Time Phonics!  Gr. PreK-2
• Half 'n Half Animals  Gr. K-4
• Hands-On Thinking Skills  Gr. K-1
• Inference Jones  Gr. 1-6
• James Madison  Gr. 10-12+
• Jumbles  Gr. 3-5
• Language Mechanic  Gr. 4-7
• Language Smarts  Gr. 1-4
• Mastering Logic & Math Problem Solving  Gr. 6-9
• Math Analogies  Gr. K-9
• Math Detective  Gr. 3-8
• Math Games  Gr. 3-8
• Math Mind Benders  Gr. 5-12+
• Math Ties  Gr. 4-8
• Math Word Problems  Gr. 4-10
• Mathematical Reasoning  Gr. Toddler-11
• Middle School Science  Gr. 6-8
• Mind Benders  Gr. PreK-12+
• Mind Building Math  Gr. K-1
• Mind Building Reading  Gr. K-1
• Novel Thinking  Gr. 3-6
• OLSAT® Test Prep  Gr. PreK-K
• Organizing Thinking  Gr. 2-8
• Pattern Explorer  Gr. 3-9
• Practical Critical Thinking  Gr. 8-12+
• Punctuation Puzzler  Gr. 3-8
• Reading Detective  Gr. 3-12+
• Red Herring Mysteries  Gr. 4-12+
• Red Herrings Science Mysteries  Gr. 4-9
• Science Detective  Gr. 3-6
• Science Mind Benders  Gr. PreK-3
• Science Vocabulary Crossword Puzzles  Gr. 4-6
• Sciencewise  Gr. 4-12+
• Scratch Your Brain  Gr. 2-12+
• Sentence Diagramming  Gr. 3-12+
• Smarty Pants Puzzles  Gr. 3-12+
• Snailopolis  Gr. K-4
• Something's Fishy at Lake Iwannafisha  Gr. 5-9
• Teaching Technology  Gr. 3-12+
• Tell Me a Story  Gr. PreK-1
• Think Analogies  Gr. 3-12+
• Think and Write  Gr. 3-8
• Think-A-Grams  Gr. 4-12+
• Thinking About Time  Gr. 3-6
• Thinking Connections  Gr. 4-12+
• Thinking Directionally  Gr. 2-6
• Thinking Skills & Key Concepts  Gr. PreK-2
• Thinking Skills for Tests  Gr. PreK-5
• U.S. History Detective  Gr. 8-12+
• Understanding Fractions  Gr. 2-6
• Visual Perceptual Skill Building  Gr. PreK-3
• Vocabulary Riddles  Gr. 4-8
• Vocabulary Smarts  Gr. 2-5
• Vocabulary Virtuoso  Gr. 2-12+
• What Would You Do?  Gr. 2-12+
• Who Is This Kid? Colleges Want to Know!  Gr. 9-12+
• Word Explorer  Gr. 6-8
• Word Roots  Gr. 3-12+
• World History Detective  Gr. 6-12+
• Writing Detective  Gr. 3-6
• You Decide!  Gr. 6-12+

Math Word Problems

Whole numbers & fractions • decimals & percents • mixed concepts: whole numbers to percents.

Grades: 4-10

Mathematics

The word problems in these books help 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 solved by rote processes. Each problem requires its own thinking/problem-solving approach rather than applying the same solution process to entire groups of problems. Teaching Support Includes answers, instructions at the start of each concept, and examples to reassure students about what is expected of them.

Description and Features

All products in this series.

    • Our eBooks digital, electronic versions of the book pages that you may print to any paper printer.     • You can open the PDF eBook from any device or computer that has a PDF reader such as Adobe® Reader®.     • Licensee can legally keep a copy of this eBook on three different devices. View our eBook license agreement details here .     • You can immediately download your eBook from "My Account" under the "My Downloadable Product" section after you place your order.

• Add to Cart Add to Cart Remove This Item
• Special of the Month
• Sign Up for our Best Offers
• Bundles = Greatest Savings!
• Sign Up for Free Puzzles
• Sign Up for Free Activities
• Toddler (Ages 0-3)
• PreK (Ages 3-5)
• Kindergarten (Ages 5-6)
• 1st Grade (Ages 6-7)
• 2nd Grade (Ages 7-8)
• 3rd Grade (Ages 8-9)
• 4th Grade (Ages 9-10)
• 5th Grade (Ages 10-11)
• 6th Grade (Ages 11-12)
• 7th Grade (Ages 12-13)
• 8th Grade (Ages 13-14)
• 9th Grade (Ages 14-15)
• 10th Grade (Ages 15-16)
• 11th Grade (Ages 16-17)
• 12th Grade (Ages 17-18)
• 12th+ Grade (Ages 18+)
• Test Prep Directory
• Test Prep Bundles
• Test Prep Guides
• Preschool Academics
• Store Locator
• Submit Feedback/Request
• Sales Alerts Sign-Up
• Technical Support
• Mission & History
• Articles & Advice
• Testimonials
• Our Guarantee
• New Products
• Free Activities
• Libros en Español

• Grades 6-12
• School Leaders

Free end-of-year letter templates to your students 📝!

100+ Critical Thinking Questions for Students To Ask About Anything

Critical thinkers question everything.

In an age of “fake news” claims and constant argument about pretty much any issue, critical thinking skills are key. Teach your students that it’s vital to ask questions about everything, but that it’s also important to ask the right sorts of questions. Students can use these critical thinking questions with fiction or nonfiction texts. They’re also useful when discussing important issues or trying to understand others’ motivations in general.

“Who” Critical Thinking Questions

Questions like these help students ponder who’s involved in a story and how the actions affect them. They’ll also consider who’s telling the tale and how reliable that narrator might be.

• Is the protagonist?
• Is the antagonist?
• Caused harm?
• Is harmed as a result?
• Was the most important character?

• Is responsible?
• Is most directly affected?
• Should have won?
• Will benefit?
• Would be affected by this?

• Makes the decisions?

“What” Critical Thinking Questions

Ask questions that explore issues more deeply, including those that might not be directly answered in the text.

• Background information do I know or need to know?
• Is the main message?
• Are the defining characteristics?

• Questions or concerns do I have?
• Don’t I understand?
• Evidence supports the author’s conclusion?
• Would it be like if … ?
• Could happen if … ?
• Other outcomes might have happened?
• Questions would you have asked?
• Would you ask the author about … ?
• Was the point of … ?
• Should have happened instead?
• Is that character’s motive?
• Else could have changed the whole story?

• Can you conclude?
• Would your position have been in that situation?
• Would happen if … ?
• Makes your position stronger?
• Was the turning point?
• Is the point of the question?
• Did it mean when … ?
• Is the other side of this argument?
• Was the purpose of … ?
• Does ______ mean?
• Is the problem you are trying to solve?
• Does the evidence say?
• Assumptions are you making?
• Is a better alternative?
• Are the strengths of the argument?

• Are the weaknesses of the argument?
• Is the difference between _______ and _______?

“Where” Critical Thinking Questions

Think about where the story is set and how it affects the actions. Plus, consider where and how you can learn more.

• Would this issue be a major problem?
• Are areas for improvement?
• Did the story change?
• Would you most often find this problem?

• Are there similar situations?
• Would you go to get answers to this problem?
• Can this be improved?
• Can you get more information?
• Will this idea take us?

“When” Critical Thinking Questions

Think about timing and the effect it has on the characters or people involved.

• Is this acceptable?
• Is this unacceptable?

• Does this become a problem?
• Is the best time to take action?
• Will we be able to tell if it worked?
• Is it time to reassess?
• Should we ask for help?
• Is the best time to start?
• Is it time to stop?
• Would this benefit society?

• Has this happened before?

“Why” Critical Thinking Questions

Asking “why” might be one of the most important parts of critical thinking. Exploring and understanding motivation helps develop empathy and make sense of difficult situations.

• Is _________ happening?
• Have we allowed this to happen?
• Should people care about this issue?

• Is this a problem?
• Did the character say … ?
• Did the character do … ?
• Is this relevant?
• Did the author write this?
• Did the author decide to … ?
• Is this important?

• Did that happen?
• Is it necessary?
• Do you think I (he, she, they) asked that question?
• Is that answer the best one?
• Do we need this today?

“How” Critical Thinking Questions

Use these questions to consider how things happen and whether change is possible.

• Do we know this is true?
• Does the language used affect the story?
• Would you solve … ?
• Is this different from other situations?

• Is this similar to … ?
• Would you use … ?
• Does the location affect the story?
• Could the story have ended differently?
• Does this work?
• Could this be harmful?
• Does this connect with what I already know?
• Else could this have been handled?
• Should they have responded?

• Would you feel about … ?
• Does this change the outcome?
• Did you make that decision?
• Does this benefit you/others?
• Does this hurt you/others?
• Could this problem be avoided?

More Critical Thinking Questions

Here are more questions to help probe further and deepen understanding.

• Can you give me an example?

• Do you agree with … ?
• Can you compare this with … ?
• Can you defend the actions of … ?
• Could this be interpreted differently?
• Is the narrator reliable?
• Does it seem too good to be true?

• Is ______ a fact or an opinion?

What are your favorite critical thinking questions? Come exchange ideas on the WeAreTeachers HELPLINE group on Facebook .

Plus, check out 10 tips for teaching kids to be awesome critical thinkers ., you might also like.

Socratic Seminar: Step-by-Step Guide and Questions (Free Printable)

Here's how to use this guided discussion strategy. Continue Reading

Copyright © 2024. All rights reserved. 5335 Gate Parkway, Jacksonville, FL 32256

• Our Mission

10 Brilliant Math Brain Teasers

Tap into rigorous problem-solving and critical thinking with these playful math brain teasers for middle and high school students.  

To break the ice during the first few awkward moments of class in the new school year, high school math teacher Lorenzo Robinson uses an unusual strategy: He reads his students’ minds.

Here’s how the mystical feat unfolds: Each student picks a number between 1 and 100. Next, they use calculators to add, subtract, multiply, and divide their way through a set of predetermined numbers. At the end, everyone ends up with the same answer: 427. Robinson isn’t psychic, of course, but because the mechanics of the teaser are always the same, regardless of which initial numbers his students select, he’s able to correctly “guess” their final result—much to their amazement. 

Starting off the lesson with a math brain teaser sets a playful tone and lowers the stakes for kids, “generating a buzz around my class,” Robinson says. “It makes students feel as though this class is not going to be scary, it’s going to be interesting. ‘We’re going to be learning, but we’re also going to have some fun.’” 

Robinson thinks of math brain teasers as a variation on brain breaks —a brief respite from dense curricular material that gives kids time to pause and process. They can also provide an opportunity to build relationships and community as kids put their heads together to find solutions. Good brain teasers can be sneaky: They get kids developing problem-solving and critical thinking skills. 

Meanwhile, before introducing a new one, Robinson works through the problem himself, identifying questions that students might have along the way and making sure his class has the background knowledge to understand how the teaser works. It’s important, he says, to provide a few minutes for kids to examine and discuss the teaser. Ask them to observe, highlight, and share things that stand out. 

“The most powerful reaction is when a kid doesn’t get the correct answer,” Robinson says, and they ask to try the problem again. “They want to feel what the other kids are feeling, that educational euphoria. They want to do it again because they want to be right.” That organic intellectual curiosity is hugely helpful in high school math, Robinson says, because it can be “parlayed into the other stuff that we do.”

We combed through dozens of math brain teasers to find 10 good ones—including several of Robinson’s tried-and-true favorites.  

Number Magic: I’ll Bet Your Number is… 427

• Start by having students pick any number between 1 and 100. 
• Add 28. 
• Multiply that number by 6. 
• Subtract 3. 
• Divide that number by 3. 
• Subtract 3 more than your original number. 
• Add 8. 
• Subtract 1 less than your original number. 
• Multiply that number by 7. 

And voilà, you’ll correctly identify each student’s final result as 427. Courtesy of: Lorenzo Robinson  

Can Your Shoe Size Tell Your Age? 

• Start with your shoe size. If you are a half size—for example, size 8.5—round up to 9.
• Multiply your shoe size by 5. 
• Add 50. 
• Multiply that number by 20. 
• Subtract the year you were born—for example, 1991. Add 1 if you already had your birthday this year. 

The first digit(s) are your shoe size, and the last two digits are your age.  Courtesy of: Lorenzo Robinson.  

Cutting Across a Cross

Ask students to draw a cross on a sheet of paper. Drawing one on the board as a point of reference is helpful. Next, ask students to draw two straight lines that will segment or cut the cross into pieces. The goal is to produce the most pieces.

The solution can be found here .  Sourced from: MathisFun.com .

Number Magic: I’ll Bet Your Final Number is… 5  

• Start with a positive number. Students shouldn’t say the number out loud.
• Square that number. 
• Add 10x the original number to what you have now. 
• Add 25 to the result of the previous step. 
• Now take the square root of that number, rounding to the nearest whole number. 
• Subtract your original number.
• Before students share their final figure, reveal that you guess their collective result is 5. 

Courtesy of: Lorenzo Robinson.

Birthday Math 

Have students work in pairs and share the following instructions with their partner:

• Start with the number 7.
• Multiply that by the month of your birth. For example, if you were born in September, you’d use the number 9 to represent your birth month. 
• Subtract 1. 
• Multiply that number by 13. 
• Add the day of your birth. 
• Add 3. 
• Multiply that number by 11. 
• Subtract the month of your birth. 
• Subtract the day of your birth. 
• Divide by 10.
• Add 11 to that number. 
• Divide by 100. 

The result on the calculator screen should be their partner’s birthday.  Sourced from: Dr. Mike’s Math Games for Kids .

Coin Conundrum

Ask students to imagine that they have two coins that total 30 cents in value. Have them try to figure out what the two coins are, only providing them with a singular piece of information: One of the coins is not a nickel. The answer: A quarter and a nickel. (Only one of the coins is not a nickel.)

Sourced from: WeAreTeachers .

The Phone Number Trick  

• Ignoring your area code, type the first three digits of your phone number into a calculator.
• Multiply that number by 80. 
• Add 1. 
• Multiply that number by 250. 
• Add the last four digits of your phone number. 
• Add the last four digits of your phone number again. 
• Subtract 250. 
• Divide this number by 2. Do you recognize your phone number?

Courtesy of: Lorenzo Robinson. 

A Number Challenge

For a slightly more independent teaser, challenge students to produce a math equation that works using these four numbers—2, 3, 4, and 5—as well as a plus (+) and equal sign (=). Students can work individually, in pairs, or in small groups as they try to create a valid equation. The answer: 2 + 5 = 3 + 4.

Sourced from: WeAreTeachers .  

Math Mind Reader 

Students can work in pairs with this teaser. One person will start off by holding the calculator so their partner cannot see it; the other person can read the steps aloud to the partner with the calculator. 

• The student with the calculator starts by choosing a whole number from 1 to 20 and writing it down on a piece of paper without letting their partner see it. 
• Next, the student with the calculator enters their secret number into the calculator. 
• Multiply that number by 3. 
• Add the secret number, then subtract 5. 
• Multiply by 3, then multiply by 3 again. 
• Add the secret number, then subtract the number of their favorite month (you don’t have to know what month it is). For example, 9 represents the ninth month of the year, September. 
• Multiply by 3, then multiply by 3 again, and then again a third time. 
• Add the secret number, then subtract their favorite day of the month (again, you don’t have to know what it is on your end). 
• Ask them to show the non-calculator partner the result. At this stage, the non-calculator partner can guess the original secret number, even though what appears on the screen may be a very large number. 

If the result is negative, their secret number is 1.

If the result has only three digits, their secret number is 2.

In all other cases, ignore the last three digits, and then add 2 to get the secret number! 

Sourced from: Dr. Mike’s Math Games for Kids .

What’s Unique About This Number?

After writing the number 8,549,176,320 on the board, ask students to observe the number and tell you everything they think is unique about the number.

Answer: It is the digits 0 to 9 in alphabetical order (eight, five, four, nine, one, seven, six, three, two, zero), but it’s surprising and fun to see what students come up with. This number can also be evenly divided by the digits 1 through 9 except for the number 7, for example. 

Sourced from: MathisFun.com . 

• Join for FREE
• Printable Worksheets
• Online Lessons
• Test Maker™
• Printable Games
• Worksheet Generator
• Plans & Pricing

Printable & online resources for educators

• Test Maker TM
• Browse All Questions
• Questions With Images
• Advanced Search

Share/Like This Page

Filter by grade.

You are browsing Grade 10 questions. View questions in All Grades .

Grade 4 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11

Browse Questions

• All Subjects w/ Images (7032)
• By ELA/Literacy Standard
• By Math Standard
• All Subjects (19486)
• English Language Arts (3682)
• English as a Second Language ESL (1429)
• Health and Medicine (721)
• Life Skills (476)

Arithmetic and Number Concepts

Function and algebra concepts, geometry and measurement, mathematical process, logical thinking, problem solving strategies, statistics and probability concepts, trigonometry.

• Physical Education (420)
• Science (7108)
• Social Studies (2221)
• Study Skills and Strategies (13)
• Technology (592)
• Vocational Education (1000)

Tenth Grade (Grade 10) Logical Thinking Questions

You can create printable tests and worksheets from these Grade 10 Logical Thinking questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

• You ate popcorn.
• You saw a comedy.
• It is Thursday.
• It is not Thursday.
• It is the weekend if and only if it is Saturday or Sunday.
• If is not the weekend, then it not Saturday or Sunday.
• If it is not Saturday or Sunday, then it is not the weekend.
• It is not Saturday or Sunday if and only if it is the weekend.
• contrapositive
• Conditional Statement
• Contrapositive
• If you grow, then you will eat all of your vegetables.
• If you do not eat all of your vegetables, then you will not grow.
• If you do not grow, then you will not eat all of your vegetables.
• Switch and Negate
• Inductive reasoning
• Logical progression
• Deductive reasoning
• Normal reasoning
• we are wearing pink.
• we are not wearing pink.
• we don't have to wear pink.
• there is not enough information given.
• If I get smarter, I read a lot of books.
• If I read a lot of books, I won't get smarter.
• If I don't get smarter, then I don't read a lot of books.
• If I don't read a lot of books, I will get smarter.
• figure ABC is not a triangle.
• figure ABC is a triangle.
• figure ABC has three sides.
• If p then q
• If q then p
• Not true - 90 degrees
• Not true - 116 degrees
• Not true - 75 degrees
• If ~q, then p
• If p, then ~q
• If ~p, then q
• If ~p, then ~q
• If an angle is obtuse then it is greater than 90.
• If an angle is not greater than 90 then it is not obtuse.
• If an angle is not obtuse then it is not greater than 90.
• If an angle is greater than 90 then it is obtuse.
• Privacy Policy
• Terms of Use
• FREE Printable Worksheets
• Common Core ELA Worksheets
• Common Core Math Worksheets

Critical thinking definition

Critical thinking, as described by Oxford Languages, is the objective analysis and evaluation of an issue in order to form a judgement.

Active and skillful approach, evaluation, assessment, synthesis, and/or evaluation of information obtained from, or made by, observation, knowledge, reflection, acumen or conversation, as a guide to belief and action, requires the critical thinking process, which is why it's often used in education and academics.

Some even may view it as a backbone of modern thought.

However, it's a skill, and skills must be trained and encouraged to be used at its full potential.

People turn up to various approaches in improving their critical thinking, like:

• Developing technical and problem-solving skills
• Engaging in more active listening
• Actively questioning their assumptions and beliefs
• Seeking out more diversity of thought
• Opening up their curiosity in an intellectual way etc.

Is critical thinking useful in writing?

Critical thinking can help in planning your paper and making it more concise, but it's not obvious at first. We carefully pinpointed some the questions you should ask yourself when boosting critical thinking in writing:

• What information should be included?
• Which information resources should the author look to?
• What degree of technical knowledge should the report assume its audience has?
• What is the most effective way to show information?
• How should the report be organized?
• How should it be designed?
• What tone and level of language difficulty should the document have?

Usage of critical thinking comes down not only to the outline of your paper, it also begs the question: How can we use critical thinking solving problems in our writing's topic?

Let's say, you have a Powerpoint on how critical thinking can reduce poverty in the United States. You'll primarily have to define critical thinking for the viewers, as well as use a lot of critical thinking questions and synonyms to get them to be familiar with your methods and start the thinking process behind it.

Are there any services that can help me use more critical thinking?

We understand that it's difficult to learn how to use critical thinking more effectively in just one article, but our service is here to help.

We are a team specializing in writing essays and other assignments for college students and all other types of customers who need a helping hand in its making. We cover a great range of topics, offer perfect quality work, always deliver on time and aim to leave our customers completely satisfied with what they ordered.

The ordering process is fully online, and it goes as follows:

• Select the topic and the deadline of your essay.
• Provide us with any details, requirements, statements that should be emphasized or particular parts of the essay writing process you struggle with.
• Leave the email address, where your completed order will be sent to.
• Select your prefered payment type, sit back and relax!

With lots of experience on the market, professionally degreed essay writers , online 24/7 customer support and incredibly low prices, you won't find a service offering a better deal than ours.

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

Links and references.

• Kindergarten
• Greater Than Less Than
• Measurement
• Multiplication
• Place Value
• Subtraction
• Punctuation
• 1st Grade Reading
• 2nd Grade Reading
• 3rd Grade Reading
• Cursive Writing

Math Critical Thinking Questions For Grade 1

Math Critical Thinking Questions For Grade 1 - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are 81 fresh fun critical thinking activities, The critical thinking, The test of critical thinking, Unit1criticalthinking unitlength2weeks, 7 critical thinking skills of common core, When and how, 2013 math framework grade 1, Math mammoth grade 4 a.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. 81 Fresh & Fun Critical-Thinking Activities

2. the critical thinking, 3. the test of critical thinking, 4. unit%1:%critical%thinking% % % % unit%length:%2%weeks ..., 5. 7 critical thinking skills of common core -, 6. when and how, 7. 2013 math framework, grade 1, 8. math mammoth grade 4-a.

Unicus Mathematics Olympiad (UMO)

Syllabus (year 2024-25), sample papers (year 2024-25).

• Jul 11, 2024 / Jul 27, 2024
• Marking Scheme
• How to Participate
• Ranking Criteria
• Olympiad Preparation

Unicus Science Olympiad (USO)

• Jul 06, 2024 / Jul 23, 2024

Unicus English Olympiad (UEO)

• May 11, 2024 / May 30, 2024

Unicus General Knowledge Olympiad (UGKO)

• May 14, 2024 / May 28, 2024

Unicus Critical Thinking Olympiad (UCTO)

• Jul 02, 2024 / Jul 20, 2024

Unicus Non-Routine Mathematics Olympiad (UNRMO)

• Jan 19, 2024 / Feb 10, 2024
• About UNRMO
• UNRMO Level 1 Free
• marking-scheme">Marking Scheme
• School Registration
• Become A Coordinator
• Join WhatsApp Channel
• Sample Papers
• Top Rankers
• Subject Cut-offs
• Apply Individually
• Register Your School

Unicus Critical Thinking Olympiad Class 7 Sample Papers

Classic Section: Patterns; Analogy and Classification; Geometrical Shapes and Solids; Mirror Images and Water Images; Direction Sense Test; Coding - Decoding; Series Completion and Inserting the Missing Character; Blood Relations; Logical Venn Diagrams; Alpha Numeric Sequence Puzzle, Number, Ranking and Time Sequence Test, Logical Sequence of Words, Alphabet Test, Puzzle Test; Mathematical Operations; Analytical Reasoning; Embedded Figures, Figure Formation, Figure Matrix, Construction of Squares, Grouping of Identical Figures; Paper Folding and Paper Cutting; Cubes and Dice; Dot Situation.

Scholar Section: Higher Order Thinking Questions - Syllabus as per Classic Section

Sample Papers of Unicus Critical Thinking Olympiad for Class 7:

If your web browser doesn't have a PDF Plugin, you can Click here to download the PDF

Other Classes Sample Papers (Year 2024-2025)

• UCTO Sample Papers for Class 2
• UCTO Sample Papers for Class 3
• UCTO Sample Papers for Class 4
• UCTO Sample Papers for Class 5
• UCTO Sample Papers for Class 6
• UCTO Sample Papers for Class 8
• UCTO Sample Papers for Class 9
• UCTO Sample Papers for Class 10
• UCTO Sample Papers for Class 11

Other Subjects Sample Papers (Year 2024-2025)

• UMO Sample Papers for Class 7
• UEO Sample Papers for Class 7
• USO Sample Papers for Class 7
• UCO Sample Papers for Class 7
• UGKO Sample Papers for Class 7
• UNRMO Sample Papers for Class 7

Your Score: 0 /10

Answers to Sample Questions from CREST Olympiads: