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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 ↓

8 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

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What is the Critical Thinking Test?

Critical thinking practice test, take a free practice critical thinking test, practice critical thinking test.

Updated November 16, 2023

The Critical Thinking Test is a comprehensive evaluation designed to assess individuals' cognitive capacities and analytical prowess.

This formal examination, often referred to as the critical thinking assessment, is a benchmark for those aiming to demonstrate their proficiency in discernment and problem-solving.

In addition, this evaluative tool meticulously gauges a range of skills, including logical reasoning, analytical thinking, and the ability to evaluate and synthesize information.

This article will embark on an exploration of the Critical Thinking Test, elucidating its intricacies and elucidating its paramount importance. We will dissect the essential skills it measures and clarify its significance in gauging one's intellectual aptitude.

We will examine examples of critical thinking questions, illuminating the challenging scenarios that candidates encounter prompting them to navigate the complexities of thought with finesse.

Before going ahead to take the critical thinking test, let's delve into the realm of preparation. This segment serves as a crucible for honing the skills assessed in the actual examination, offering candidates a chance to refine their analytical blades before facing the real challenge. Here are some skills that will help you with the critical thinking assessment: Logical Reasoning: The practice test meticulously evaluates your ability to deduce conclusions from given information, assess the validity of arguments, and recognize patterns in logic. Analytical Thinking: Prepare to dissect complex scenarios, identify key components, and synthesize information to draw insightful conclusions—a fundamental aspect of the critical thinking assessment. Problem-Solving Proficiency: Navigate through intricate problems that mirror real-world challenges, honing your capacity to approach issues systematically and derive effective solutions. What to Expect: The Critical Thinking Practice Test is crafted to mirror the format and complexity of the actual examination. Expect a series of scenarios, each accompanied by a set of questions that demand thoughtful analysis and logical deduction. These scenarios span diverse fields, from business and science to everyday scenarios, ensuring a comprehensive evaluation of your critical thinking skills. Examples of Critical Thinking Questions Scenario: In a business context, analyze the potential impacts of a proposed strategy on both short-term profitability and long-term sustainability. Question: What factors would you consider in determining the viability of the proposed strategy, and how might it affect the company's overall success? Scenario: Evaluate conflicting scientific studies on a pressing environmental issue.

Question: Identify the key methodologies and data points in each study. How would you reconcile the disparities to form an informed, unbiased conclusion?

Why Practice Matters

Engaging in the Critical Thinking Practice Test familiarizes you with the test format and cultivates a mindset geared towards agile and astute reasoning. This preparatory phase allows you to refine your cognitive toolkit, ensuring you approach the assessment with confidence and finesse.

We'll navigate through specific examples as we proceed, offering insights into effective strategies for tackling critical thinking questions. Prepare to embark on a journey of intellectual sharpening, where each practice question refines your analytical prowess for the challenges ahead.

This is a practice critical thinking test.

The test consists of three questions . 

After you have answered all the questions, you will be shown the correct answers and given full explanations.

Make sure you read and fully understand each question before answering. Work quickly, but don't rush. You cannot afford to make mistakes on a real test .

If you get a question wrong, make sure you find out why and learn how to answer this type of question in the future. 

Six friends are seated in a restaurant across a rectangular table. There are three chairs on each side. Adam and Dorky do not have anyone sitting to their right and Clyde and Benjamin do not have anyone sitting to their left. Adam and Benjamin are not sitting on the same side of the table.

If Ethan is not sitting next to Dorky, who is seated immediately to the left of Felix?

You might also be interested in these other PRT articles:

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• Critical Thinking

How To Encourage Critical Thinking in Math

By Mary Montero

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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.

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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

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Critical Thinking Test: Sample Questions with Explanations (2024)

Employers value and seek candidates who demonstrate advanced critical thinking skills. They often administer critical thinking tests as part of their hiring process. Critical thinking tests can be very difficult for those who don’t prepare. A great way to start practicing is by taking our critical thinking free practice test.

What Does The Critical Thinking Test Include?

The Critical Thinking Test assesses your capacity to think critically and form logical conclusions when given written information. Critical thinking tests are generally used in job recruitment processes, in the legal sector. These tests measure the analytical critical thinking abilities of a candidate.

Why Is Critical Thinking Useful?

Critical thinking is put into action in various stages of decision-making and problem-solving tasks:

• Identify the problem
• Choose suitable information to find the solution
• Identify the assumptions that are implied and written in the text
• Form hypotheses and choose the most suitable and credible answers
• Form well-founded conclusions and determine the soundness of inferences

What is Watson Glaser Test and what Critical Thinking Skills it Measures?

The most common type of critical thinking test is the Watson-Glaser Critical Thinking Appraisal (W-GCTA). Typically used by legal and financial organizations, as well as management businesses, a Watson Glaser test is created to assess candidates’ critical thinking skills.

The test consists of 10 questions to be answered in 10 minutes approx (although there is no timer on the test itself). Our test is slightly harder than the real thing, to make it sufficiently challenging practice.

You need to get 70% correct to pass the test. Don’t forget to first check out the test techniques section further down this page beforehand.

Questions          25

Pass percentage          70%.

The test is broken down into five central areas:

• Assumptions
• Interpretation

Critical Thinking Course

• 1 BONUS Interview Prep Video Guide Buy this Course: Get full access to all lessons, practice tests and guides.

The Five Critical Thinking Skills Explained

1. recognition of assumption.

You’ll be presented with a statement. The statement is then followed by several proposed assumptions. When answering, you must work out if an assumption was made or if an assumption was not made in the statement. An assumption is a proclamation that an individual takes for granted. This section of the tests measures your ability to withhold from forming assumptions about things that are not necessarily correct.

• 1: Assumption Made
• 2: Assumption Not Made

Although the passage does state that Charlie’s fundraising team is doing its best so that the charity event can meet its goal, nowhere did it state that their team is leading the event.

2. Evaluation of Arguments

You will be presented with an argument. You will then be asked to decide whether the argument is strong or weak. An argument is considered strong if it directly connects to the statement provided, and is believed to be significant.

No, participation awards should not be given in every competition because studies have shown that this would cause the participants to put in less effort because they will get a prize no matter what the outcome is.

• 1: Strong Argument
• 2: Weak Argument

This is a strong argument as it provides evidence as to why participation awards should not be given in every competition

3. Deductions

In deduction questions, you will need to form conclusions based solely on the information provided in the question and not based on your knowledge. You will be given a small passage of information and you will need to evaluate a list of deductions made based on that passage. If the conclusion cannot be formed for the information provided, then the conclusion does not follow. The answer must be entirely founded on the statements made and not on conclusions drawn from your knowledge.

In a surprise party for Donna, Edna arrived after Felix and Gary did. Kelly arrived before Felix and Gary did.

• 1: Conclusion Follows
• 2: Conclusion Does not Follow

For questions like this, jot down the clues to help you out. Use initials as a quick reference.

K | F&G | E

Looking at the simple diagram, “K”, which stands for “Kelly,” arrived before Edna “E” did. The answer is A.

4. Interpretation

In these questions, you are given a passage of information followed by a list of possible conclusions. You will need to interpret the information in the paragraph and determine whether or not each conclusion follows, based solely on the information given.

A number of students were given the following advice:

“The use of powerful words is a technique, which makes you a better writer. Your choice of words is very important in molding the way people interaction with the article. You should use powerful words to spice up your article. Power words should be used liberally to enhance the flavor of what you write! ”

In the fourth sentence, it is stated, “Power words should be used liberally to enhance the flavor of what you write!”

Thus, if you were to write an essay, using powerful words can give more flavor to it.

5. Inferences

An inference is a conclusion made from observed or supposed facts and details. It is information that is not apparent in the information provided but rather is extracted from it. In this section, you will be provided with a passage of information about a specific scene or event. A list of possible inferences will then be given, and you will need to decide if they are ‘true’, ‘false’, ‘possibly true’, ‘possibly false’, or whether it is not possible to say based on the information provided.

With the advancement of technology, the need for more infrastructure has never been higher. According to the plan of the current U.S. Administration, it aims to put a $1 trillion investment on improving infrastructure, a portion of which will include priority projects and technologies that can strengthen its economic competitiveness such as transportation, 5G wireless communication technology, rural broadband technologies, advanced manufacturing technologies, and even artificial intelligence.

It stated that it expects to work with Congress to develop a comprehensive infrastructure package, which is expected to have a budget of $200 billion for certain priorities.

• 2: Probably True
• 3: Not Enough Information
• 4: Probably False

Although it was mentioned in the passage that the U.S. government is to allocate $200 billion on certain priorities, it did not specify if these certain priorities were for ‘transportation, 5G wireless communication technology, rural broadband technologies, advanced manufacturing technologies, and artificial intelligence’ or if the aforementioned priorities will have a different allocation.

What we can be sure of, however, is that at least a portion of the $1 trillion infrastructure budget will be used on the mentioned priorities regardless, meaning that there is a chance that $200 billion will be used on those aforementioned areas.

Improve Your Score with Prepterminal’s Critical Thinking Course

The Critical Thinking test is difficult, but not impossible to overcome with practice. At PrepTerminal our psychometric test experts have developed a critical thinking preparatory test to provide you with the material you need to practice for your critical thinking test. Prepare with us to increase your chance of successfully overcoming this hurdle in the recruitment process.

Prepterminal’s preparatory critical thinking course features a structured study course along with critical thinking practice tests to help you improve your exam score. Our course includes video and text-based information presented in a clear and easy-to-understand manner so you can follow along at your own pace with ease.

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Critical Thinking Test: Online Preparation & Free Practice Questions – 2024

• Information
• Free Example Questions

What Is Critical Thinking?

Critical thinking is a form of decision making and reasoning using data and observations. Someone who is a strong critical thinker can find quality solutions efficiently and can evaluate issues objectively.

What Is a Critical Thinking Test?

Critical thinking tests provide companies valuable insight into the leadership, reasoning, and overall capabilities of candidates. Because strong critical thinking skills are highly sought after, the critical thinking test can be applicable to any field and discipline across multiple levels of expertise from recent graduate to executive. However, it is commonly administered to those applying for criminal justice and business-related occupations.

Job seekers with upcoming critical thinking tests will be evaluated on more than their ability to rationalize, critical thinking tests also measure the following subsets:

• Organizing & Planning
• Strategizing
• Decision Making
• Problem Solving

The format of the critical thinking uses hypothetical scenarios to assess candidates. The scenarios are typically relevant to the field you are interested in to assess your knowledge of the role. There will also be general questions concerning more basic issues or problems that commonly occur in a workplace environment.

The critical thinking test is multiple-choice with thirty minutes to complete the assessment. Candidates will receive a notification stating whether or not they passed within a week of completion.

How Is the Critical Thinking Test Scored?

The critical reasoning test is scored based on your raw score and your percentile in comparison with your norm group. It’s important to note that these will not be the same number.

A norm group is a collection of scores from individuals in your field at your level of experience. The percentile score is used to alert employers if you exceed, meet or miss the benchmark for the average expectations of candidates. You will be rated on a scale of one to one hundred with fifty consisting of the mean and median scores.

A raw score is simply the number of correct answers. The critical thinking test comprises your raw score based on the performance in the following areas:

• Recognizing Assumptions The candidate must be able to understand when a statement is made with no supporting evidence and how this can affect a decision. Further, candidates are asked to identify these discrepancies, whether they are stated explicitly or implicitly, and assess its relevance to the given scenario.
• Evaluating Arguments Candidates must evaluate arguments without considering inferences or being subjective. Beyond that, candidates must assess the supporting evidence, the structure of the argument and the degree of its influence. It is very important to dismiss emotions for this portion of the critical thinking test.
• Drawing Conclusions Drawing conclusions puts a large emphasis on reasoning. In this section, it’s important to assess all of the available evidence and data to form a plausible conclusion that accurately applies to all the given information. Employers also want to see candidates that will consider all possible solutions rather than making the evidence fit a desired narrative.

Employers will receive all of this information in a performance report construed by the assessment company. Employers will also be given insight into your overall potential, job knowledge, creativity and job performance per the report.

Where Will I Take a Critical Thinking Test?

Critical thinking tests are non-proctored online assessments that are typically sent via email after an initial screening. For some occupations, the company may ask that the candidate take the critical thinking test again on-site either before their final interview or during an assessment day. The most common test candidates are asked to take is the Watson Glaser Critical Thinking Appraisal (WGCTA) created by the popular assessment company, Pearson . This assessment company is on their third edition with new scoring and subsets described above. The WGCTA gained popularity because of its ability to assess a candidate’s potential alongside their aptitude. Another established assessment is the SHL Critical Reasoning Battery that contains sixty questions with a thirty-minute time limit. Both of the aforementioned critical thinking tests are multiple choice.

How to Prepare for the Critical Thinking Test?

The critical thinking test is difficult to study for because the test is designed to assess your bare knowledge and raw skills. In order to prepare successfully, it is important to focus on the areas of the test that you can equip yourself for. One aspect of the test that demands preparation is the time limit. Many candidates’ scores are negatively impacted because they skip or guess too many of the questions in an attempt to beat the clock. If you want to optimize your chances of achieving a good score, use online practice tests to acquaint yourself with the time constraint and the general theme of the questions. By utilizing the online practice tests, you can find the pace that works best for you. Another helpful way to prepare is running through sample questions. This way, you can warm-up your brain and gain an understanding of the expectations that both the test and the company have of you.

Free Sample Questions to Practice

• Look over her past quizzes to see what she missed.
• Set aside more time during the week to review the material for the quiz.
• Get to class on early Wednesday and briefly look over the chapters.
• Get a good night’s sleep.
• Parents should find an alternative way to get their kids to school next week.
• The premiums must be over-priced.
• Collective bargaining is no longer a feasible solution.
• Their employers are being unreasonable.
• People in Hawaii dislike living on an island.
• Colder climates induce more happiness than warmer climates.
• The high scores on the Alaska survey were produced by people who enjoy snow.
• People in Hawaii should move to Alaska.
• Jenny’s credit card was declined at the mall.
• Jenny’s bank keeps charging her $30 overdraft fees.
• Jenny’s check bounced when she attempted to purchase a new TV.
• Jenny spends more money than she makes.
• Lori has thirty cans of soda in a refrigerator in her garage and another fourteen sitting on the counter. Lori does not have anymore cans of soda. Therefore, Lori has 44 cans of soda.
• The accounting department loves math. My friend works in the accounting department. My friend loves math.
• Everyone southbound on the freeway yesterday was late to work. Jackie was southbound on the freeway. Jackie was late to work.
• Adrian lives in either Springfield, California, or Springfield, Illinois. If he lives in Illinois, then he is an American.

Aptitude Tests

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Critical Thinking test

By 123test team . Updated May 12, 2023

Critical Thinking test reviews

This Critical Thinking test measures your ability to think critically and draw logical conclusions based on written information. Critical Thinking tests are often used in job assessments in the legal sector to assess a candidate's  analytical critical  thinking skills. A well known example of a critical thinking test is the Watson-Glaser Critical Thinking Appraisal .

Need more practice?

Score higher on your critical thinking test.

The test comprises of the following five sections with a total of 10 questions:

• Analysing Arguments
• Assumptions
• Interpreting Information

Instructions Critical Thinking test

Each question presents one or more paragraphs of text and a question about the information in the text. It's your job to figure out which of the options is the correct answer.

Below is a statement that is followed by an argument. You should consider this argument to be true. It is then up to you to determine whether the argument is strong or weak. Do not let your personal opinion about the statement play a role in your evaluation of the argument.

Statement: It would be good if people would eat vegetarian more often. Argument: No, because dairy also requires animals to be kept that will have to be eaten again later.

Is this a strong or weak argument?

Strong argument Weak argument

Statement: Germany should no longer use the euro as its currency Argument: No, because that means that the 10 billion Deutschmark that the introduction of the euro has cost is money thrown away.

Overfishing is the phenomenon that too much fish is caught in a certain area, which leads to the disappearance of the fish species in that area. This trend can only be reversed by means of catch reduction measures. These must therefore be introduced and enforced.

Assumption: The disappearance of fish species in areas of the oceans is undesirable.

Is the assumption made from the text?

Assumption is made Assumption is not made

As a company, we strive for satisfied customers. That's why from now on we're going to keep track of how quickly our help desk employees pick up the phone. Our goal is for that phone to ring for a maximum of 20 seconds.

Assumption: The company has tools or ways to measure how quickly help desk employees pick up the phone.

• All reptiles lay eggs
• All reptiles are vertebrates
• All snakes are reptiles
• All vertebrates have brains
• Some reptiles hatch their eggs themselves
• Most reptiles have two lungs
• Many snakes only have one lung
• Cobras are poisonous snakes
• All reptiles are animals

Conclusion: Some snakes hatch their eggs themselves.

Does the conclusion follow the statements?

Conclusion follows Conclusion does not follow

(Continue with the statements from question 5.)

Conclusion: Some animals that lay eggs only have one lung.

In the famous 1971 Stanford experiment, 24 normal, healthy male students were randomly assigned as 'guards' (12) or 'prisoners' (12). The guards were given a uniform and instructed to keep order, but not to use force. The prisoners were given prison uniforms. Soon after the start of the experiment, the guards made up all kinds of sentences for the prisoners. Insurgents were shot down with a fire extinguisher and public undressing or solitary confinement was also a punishment. The aggression of the guards became stronger as the experiment progressed. At one point, the abuses took place at night, because the guards thought that the researchers were not watching. It turned out that some guards also had fun treating the prisoners very cruelly. For example, prisoners got a bag over their heads and were chained to their ankles. Originally, the experiment would last 14 days. However, after six days the experiment was stopped.

The students who took part in the research did not expect to react the way they did in such a situation.

To what extent is this conclusion true, based on the given text?

True Probably true More information required Probably false False

(Continue with the text from 'Stanford experiment' in question 7.)

The results of the experiment support the claim that every young man (or at least some young men) is capable of turning into a sadist fairly quickly.

• A flag is a tribute to the nation and should therefore not be hung outside at night. Hoisting the flag therefore happens at sunrise, bringing it down at sunset. Only when a country flag is illuminated by spotlights on both sides, it may remain hanging after sunset. There is a simple rule of thumb for the time of bringing down the flag. This is the moment when there is no longer any visible difference between the individual colors of the flag.
• A flag may not touch the ground.
• On the Dutch flag, unless entitled to do so, no decorations or other additions should be made. Also the use of a flag purely for decoration should be avoided. However, flag cloth may be used for decoration - for example in the form of drapes.
• The orange pennant is only used on birthdays of members of the Royal House and on King's Day. The orange pennant should be as long or slightly longer than the diagonal of the flag.

Conclusion: One can assume that no Dutch flag will fly at government buildings at night, unless it is illuminated by spotlights on both sides.

Does the conclusion follow, based on the given text?

(Continue with the text from 'Dutch flag protocol' in question 9.)

Conclusion: If the protocol is followed, the orange pennant will always be longer than the horizontal bands/stripes of the flag.

Please answer the questions below. Not all questions are required but it will help us improve this test.

My educational level is

-- please select -- primary school high school college university PhD other

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.
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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.

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Online Critical Thinking Basic Concepts Test

Assessing the Understanding of Basic Critical Thinking Concepts and Principles Developed by Dr. Linda Elder, Dr. Richard Paul, and Dr. Rush Cosgrove

The test is a t hree -p art, 100 -i tem t est . The test can be used at the high-school level and above, and it takes approximately 45 minutes to complete.

Click Here to Purchase the Full Test Click Here to Try the Sample Test

The test is based on the substantive approach to critical thinking developed by Dr. Paul and his colleagues at the Foundation for Critical Thinking over decades of work. It is the only critical thinking test that approaches critical thinking as a trans-disciplinary system of interconnected concepts, principles, and understandings.  It focuses on the five essential dimensions of critical thinking: 1.   The analysis of thought. 2.  The assessment of thought. 3.  The dispositions of thought. 4.  The skills and abilities of thought. 5.  The obstacles or barriers to critical thought.

The test is designed for use at the high school level (grade 10) and above (college, university, and graduate level). Our online testing software has been custom-developed by the Foundation for Critical Thinking to provide comprehensive grading and reporting for both the student and teacher. The test measures the extent to which students, faculty, or, indeed, any persons understand the fundamental concepts embedded in critical thinking. A high score provides evidence of the person having done some critical thinking about critical thinking. It implies that the person is more likely to think critically than someone scoring low on the test. It measures, in other words, the necessary understandings for thinking critically . Of course, the test cannot guarantee that persons with basic critical thinking understandings will use them effectively in their lives. No critical thinking test can. The Online Critical Thinking Basic Concepts Test can assist faculty in determining the extent to which they are succeeding (or not succeeding) in helping students develop the understandings which will enable them to think critically - through course content and through problems and issues they will face in their lives. Most importantly, use of the test, especially when combined with other effective critical thinking assessment approaches, has a high degree of consequential validity . In other words, proper use of the test will lead to greater emphasis on the fundamentals of critical thinking.  For a richer understanding of assessment in critical thinking, see our white paper: Consequential Validity: Using Assessment to Drive Instruction . In this paper, we focus on the primary purpose of assessment in instruction - improvement. The purpose of assessing instruction for critical thinking is to improve the teaching of discipline-based thinking (historical thinking, biological thinking , sociological thinking , mathematical thinking, and so on). It is to improve students’ abilities to think their way through content, problems, and issues using disciplined skill in reasoning. The more particular we can be about what we want students to learn about critical thinking, the better can we devise instruction with that particular end in view. Nothing is more important in this process than our conceptualization of critical thinking, which is why we advocate a substantive, robust, trans-disciplinary conception of critical thinking. Use of this test can be an important part of the critical thinking assessment process, in providing faculty with data illuminating the extent to which students are learning or have learned the fundamentals of critical thinking. The test may also be used by administrators - for example, in connection with accreditation processes - to assess faculty understanding of critical thinking basic concepts and principles, and therefore readiness to foster critical thinking. The test provides statistical group data on the test as a whole, as well as on essential critical thinking understandings. It may be used in a pre/post format, and students may retake the test up to eight times with no additional charge per student over a four-year period. Home study teachers or companies wishing to use the test to assess employee understandings of critical thinking may also benefit from use of the test. This test is licensed for use only on this website (www.criticalthinking.org). It may not be copied, nor may it be utilized through other distribution methods. The Foundation for Critical Thinking reserves the right to modify the test in any way it deems fit and at any time.

How Is the Test Packaged and Licensed? This test is sold on a per-student basis, not per test. Each student may take the test up to 8 times over 4 years. We believe that this test is a valuable assessment, learning, and development tool when taken multiple times. Online test results are analyzed and compared over time to show one's progress in understanding core concepts of critical thinking, and to assist in the development of that understanding. We suggest a testing schedule of 2 to 4 times per year in a pre/post test format. How to Purchase the Test The test is licensed for Groups and Institutions starting with a minimum of 10 licenses per purchase. There is no setup fee for this test. An administrative account is automatically created upon purchase. Please note the total number of licenses purchased should include one license for the Administrator (e.g. if you have 50 students, you need to purchase 51 licenses in total - one for the Administrator, and one for each student.)

License orders paid by credit card are activated immediately. Payment by other methods, such as purchase order or check,  will delay activation of the test account until payment is received by the Foundation for Critical Thinking.

Please note that there is a no-refund policy on our online tests.  We therefore highly recommend that you take the sample test before purchasing the full version.

Test Administration and Features When you purchase test licenses, you are provided a set of tools in your web account to manage your students. The Group Administrator (the account that purchases the test licenses) has access to student rosters, group statistics, and the ability to customize what students can see after taking the test (allowing it to be used for assessment purposes or as online learning tool, depending on the administrator's preference). A student enrollment link is provided for the group administrator to distribute to students, along with a group password. Students are guided through a simple account setup process and then taken directly to the test.

Choosing What Students Can See After They Take the Test  

Despite the various customization options offered, administrator and student accounts are easy to set up and use.

Full Critical Thinking Test Guide 2024

An increasing number of companies are incorporating tests of critical thinking into their recruitment procedures. Get ready for these evaluations by using the preparation tools available from JobTestPrep. Our materials offer insights into the tests, along with practice exams, thorough explanations for each answer, results analysis, and additional features. Begin your preparation for critical thinking assessments now to enhance your chances of success.

What Is Critical Thinking?

Critical thinking, often referred to as critical reasoning, involves evaluating a situation and understanding different viewpoints. It requires recognizing, analyzing, and distinguishing between facts, opinions, and assumptions.

Why Is the Critical Thinking Test Important to Employers?

Employers use  reasoning aptitude questions to assess your ability to make reasoned decisions when faced with a problem, without letting emotions sway your judgment. This ability to separate feelings from analysis allows you to remain objective, self-assured, and decisive, leading to choices that are more reasoned and well-founded.

When Is Critical Thinking Used?

Critical thinking plays a key role throughout various phases of problem-solving and making decisions:

• Identifying the issue at hand.
• Choosing pertinent data needed to address the issue.
• Acknowledging both explicit and implicit assumptions present in the information.
• Formulating theories and determining the most pertinent and trustworthy solutions.
• Arriving at sound conclusions and evaluating the strength of the deductions made.
• Critical Thinking Skills Tests

Tests of critical thinking often include multiple parts or subsections that evaluate different cognitive skills.

Inference In the inference segment, you're tasked with drawing conclusions from given or assumed facts. You'll read a brief passage with facts to accept as true, and then you'll see a statement that might be derived from the passage. Your job is to decide if this statement is valid based on the information provided. You must determine if the statement is true, probably true, not enough information to decide, probably false, or false. For instance, if a baby cries at mealtime, you might infer that the baby is hungry, though other reasons could be possible, like discomfort from heat.

Recognizing Assumptions This part requires you to identify if an underlying assumption is reasonable. You'll be presented with a statement and an associated assumption. Your task is to figure out if the assumption is supported by the statement. This tests your ability to not automatically accept things as true without evidence. For example, saying "I’ll still have my job in three months" assumes that you won't be laid off or decide to leave for other opportunities. You must decide if an assumption is made or not.

Deduction The deduction section evaluates your ability to consider information and determine if certain conclusions are justified. After reading a set of facts, you'll be given a potential conclusion. Your role is to decide if this conclusion logically follows the facts. For instance, from the statement "No one in authority escapes making tough choices," you must deduce if it logically means "All people must make tough choices." You must judge whether the conclusion follows or does not follow from the statement.

Interpretation In this part, your skill in understanding and weighing various arguments about a question or issue is assessed. You'll read a paragraph, assumed to be true, followed by a proposed conclusion. You must decide if the conclusion is logically sound beyond a reasonable doubt. The options you have are whether the conclusion follows or does not follow.

Evaluation of Arguments Here, you're asked to judge the strength of an argument. You'll be given a question and an argument that is taken as true. Your task is to decide if the argument is strong or weak, meaning if it is significant and directly related to the question.

• Watson Glaser

The Watson Glaser Critical Thinking Appraisal (WGCTA) , a widely recognized psychological test created by Pearson Assessments, serves primarily for evaluating critical thinking skills. It's frequently utilized for selecting candidates for employment and managing talent, as well as for assessing students academically. This test can be taken either through an online platform or in a traditional face-to-face setting.

Additionally, access our Free Watson Glaser practice questions !

Critical Thinking Examples

Critical thinking comes in many forms, so we have put together a variety of questions to test your critical thinking skills.

Example 1 – Identifying Assumptions

A wife tells her husband that their combined income is not as high as it could be. She plans to start working a part-time job soon to earn more money. Hypothesized Assumption: The wife should not ask for a raise at her current job to increase her income.

A. Assumption is present

B. Assumption is absent

The correct answer is (B), Assumption is absent.

Explanation for the answer:

The wife's main point: Our total income will soon go up. Her reasoning: I'll start a new part-time job. The assumption that must be correct for her conclusion to hold: A part-time job will bring in additional income. The assumption that she shouldn't ask for a raise at her current job is not necessary for her conclusion to hold water.

Example 2 – Drawing Conclusions

Years ago, Harold and his wife adopted a two-year-old named Betty. Now, Betty is a college student living away from home. Harold feels sad and misses her a lot, wishing she would visit more. Hypothesized Assumption: Harold’s wife isn’t sad.

A. Conclusion is valid

B. Conclusion is invalid

The correct answer is (B), Conclusion is invalid.

Harold's wife isn't mentioned in the story, so we can't make any assumptions about her emotions.

Example 3 – Making Inferences

After a drop in applications, a college has had students review their professors' teaching for two years. The college leaders say the reviews are to help teachers improve and to reward the best ones with raises and promotions. Professor Burke, who just retired, wrote a letter criticizing these reviews, saying they lower academic standards. Hypothesized Assumption: The college leaders have more motives than they're admitting.

B. Probably true

C. Insufficient data

E. Probably false

The correct answer is (B), Probably true.

The introduction shows that the college's announcement is a response to fewer student applications. Although the announcement seems to focus on improving teaching quality, it's likely that there's also a concern about the college's reputation and application rates. So, the answer "probably true" fits best.

Professions That Use Critical Thinking Tests

Below are some professions that use critical thinking tests and assessments during the hiring process as well as some positions that demand  critical thinking and reasoning skills:

Prepare for Critical Thinking and Critical Reasoning Assessments

The Critical Thinking PrepPack™ offers a comprehensive preparation journey to enhance your critical thinking abilities. With our collection of practice questions, detailed study guides, and informative score reports, we aim to boost your skillset. Begin your prep now to secure your success.

JobTestPrep is not affiliated with any specific test provider. Therefore, while our materials are extremely helpful and styled similarly to most critical thinking tests, they are not an exact match.

What’s on This Page

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Measuring Mathematical Critical Thinking

• First Online: 31 August 2021

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• Benjamin Rott 7  

Part of the book series: Freiburger Empirische Forschung in der Mathematikdidaktik ((FEFMD))

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To accompany the identification of epistemological beliefs in the study at hand, an aspect of mathematical knowledge and competence was chosen to be assessed as well. Instead of measuring mathematical achievement in terms of students’ knowledge of the content of university courses, we chose to address critical thinking (CT). This choice was made to capture the students’ actual use of mathematical knowledge for a theoretically more coherent picture of their competence

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Both articles were published in PME (International Group for the Psychology of Mathematics Education) conferences proceedings, where the copyright remains with the authors.

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Rott, B. (2021). Measuring Mathematical Critical Thinking. In: Epistemological Beliefs and Critical Thinking in Mathematics. Freiburger Empirische Forschung in der Mathematikdidaktik. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-33539-7_3

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Pattern Explorer

Pattern problems to develop mathematical reasoning.

Grades: 3-9

Critical Thinking, Mathematics

•  Award Winner

Mathematics and science can be thought of as a search for patterns and structure. Discovery and insight comes when patterns are recognized and structure is understood. From a developmental perspective, the ability to recognize a pattern signals the transition from concrete to abstract thinking. So having students explore pattern problems helps sensitize them to the discovery process that provides a foundation for authentic learning and abstraction. These books provide rich and diverse collections of pattern problems for students to explore, investigate, discover, and create. The five types of pattern problems found in these books are:

• Pattern Predictor
• Equality Explorer
• Sequence Sleuth
• Number Ninja
• Function Finder

There are eight pages of each puzzle type, along with optional hints, and detailed solutions. The activities are independent and self-contained, but tend to build on one another and get gradually more sophisticated. This collection deliberately avoids use of variables, but the activities involve reasoning that lays a genuine foundation for algebraic thinking and technique. Calculators are never needed, and their use is discouraged. Parents and teachers should encourage students to pursue these pattern problems with a sense of adventure and perseverance. There are many ways to solve and explain a pattern problem, and the solutions provided are not intended to be unique. In all situations, and at whatever pace and facility, the transition from concrete to abstract thinking is worthwhile. All activities provide space for work to be shown, but students are encouraged to have scratch paper at hand in case uncovering a pattern merits deeper investigation, such as guess-and check, drawing diagrams, and making lists or charts.

For more pattern exploration, in the context of words and letters, please see the companion collection Word Explorer by the same author, Darin Beigie .

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