Home

  • Math Careers

Search form

  • MAA Centennial
  • Spotlight: Archives of American Mathematics
  • MAA Officers
  • MAA to the Power of New
  • Council and Committees
  • MAA Code of Conduct
  • Policy on Conflict of Interest
  • Statement about Conflict of Interest
  • Recording or Broadcasting of MAA Events
  • Policy for Establishing Endowments and Funds
  • Avoiding Implicit Bias
  • Copyright Agreement
  • Principal Investigator's Manual
  • Planned Giving
  • The Icosahedron Society
  • Our Partners
  • Advertise with MAA
  • Employment Opportunities
  • Staff Directory
  • 2022 Impact Report
  • In Memoriam
  • Membership Categories
  • Become a Member
  • Membership Renewal
  • MERCER Insurance
  • MAA Member Directories
  • New Member Benefits
  • The American Mathematical Monthly
  • Mathematics Magazine
  • The College Mathematics Journal
  • How to Cite
  • Communications in Visual Mathematics
  • About Convergence
  • What's in Convergence?
  • Convergence Articles
  • Mathematical Treasures
  • Portrait Gallery
  • Paul R. Halmos Photograph Collection
  • Other Images
  • Critics Corner
  • Problems from Another Time
  • Conference Calendar
  • Guidelines for Convergence Authors
  • Math Horizons
  • Submissions to MAA Periodicals
  • Guide for Referees
  • Scatterplot
  • Math Values
  • MAA Book Series
  • MAA Press (an imprint of the AMS)
  • MAA Library Recommendations
  • Additional Sources for Math Book Reviews
  • About MAA Reviews
  • Mathematical Communication
  • Information for Libraries
  • Author Resources
  • MAA MathFest
  • Proposal and Abstract Deadlines
  • MAA Policies
  • Invited Paper Session Proposals
  • Contributed Paper Session Proposals
  • Panel, Poster, Town Hall, and Workshop Proposals
  • Minicourse Proposals
  • MAA Section Meetings
  • Virtual Programming
  • Joint Mathematics Meetings
  • Calendar of Events
  • MathFest Programs Archive
  • MathFest Abstract Archive
  • Historical Speakers
  • Information for School Administrators
  • Information for Students and Parents
  • Registration
  • Getting Started with the AMC
  • AMC Policies
  • AMC Administration Policies
  • Important AMC Dates
  • Competition Locations
  • Invitational Competitions
  • Putnam Competition Archive
  • AMC International
  • Curriculum Inspirations
  • Sliffe Award
  • MAA K-12 Benefits
  • Mailing List Requests
  • Statistics & Awards
  • Submit an NSF Proposal with MAA
  • MAA Distinguished Lecture Series
  • Common Vision
  • CUPM Curriculum Guide
  • Instructional Practices Guide
  • Möbius MAA Placement Test Suite
  • META Math Webinar May 2020
  • Progress through Calculus
  • Survey and Reports
  • "Camp" of Mathematical Queeries
  • DMEG Awardees
  • National Research Experience for Undergraduates Program (NREUP)
  • Neff Outreach Fund Awardees
  • Tensor SUMMA Grants
  • Tensor Women & Mathematics Grants
  • Grantee Highlight Stories
  • "Best Practices" Statements
  • CoMInDS Summer Workshop 2023
  • MAA Travel Grants for Project ACCCESS
  • 2024 Summer Workshops
  • Minority Serving Institutions Leadership Summit
  • Previous Workshops
  • Frequently Asked Questions
  • Course Resources
  • Industrial Math Case Studies
  • Participating Faculty
  • 2020 PIC Math Student Showcase
  • Previous PIC Math Workshops on Data Science
  • Dates and Locations
  • Past Programs
  • Leadership Team
  • Support Project NExT
  • Section NExT
  • Section Officers Meeting History
  • Preparations for Section Meetings
  • Bylaws Template
  • Editor Lectures Program
  • MAA Section Lecturer Series
  • Officer Election Support
  • Section Awards
  • Section Liaison Programs
  • Section Visitors Program
  • Expense Reimbursement
  • Guidelines for Bylaw Revisions
  • Guidelines for Local Arrangement Chair and/or Committee
  • Guidelines for Section Webmasters
  • MAA Logo Guidelines
  • MAA Section Email Policy
  • Section Newsletter Guidelines
  • Statement on Federal Tax ID and 501(c)3 Status
  • Communication Support
  • Guidelines for the Section Secretary and Treasurer
  • Legal & Liability Support for Section Officers
  • Section Marketing Services
  • Section in a Box
  • Subventions and Section Finances
  • Web Services
  • Joining a SIGMAA
  • Forming a SIGMAA
  • History of SIGMAA
  • SIGMAA Officer Handbook
  • MAA Connect
  • Meetings and Conferences for Students
  • Opportunities to Present
  • Information and Resources
  • MAA Undergraduate Student Poster Session
  • Undergraduate Research Resources
  • MathFest Student Paper Sessions
  • Research Experiences for Undergraduates
  • Student Poster Session FAQs
  • High School
  • A Graduate School Primer
  • Reading List
  • Student Chapters
  • Awards Booklets
  • Carl B. Allendoerfer Awards
  • Regulations Governing the Association's Award of The Chauvenet Prize
  • Trevor Evans Awards
  • Paul R. Halmos - Lester R. Ford Awards
  • Merten M. Hasse Prize
  • George Pólya Awards
  • David P. Robbins Prize
  • Beckenbach Book Prize
  • Euler Book Prize
  • Daniel Solow Author’s Award
  • Henry L. Alder Award
  • Deborah and Franklin Tepper Haimo Award
  • Certificate of Merit
  • Gung and Hu Distinguished Service
  • JPBM Communications Award
  • Meritorious Service
  • MAA Award for Inclusivity
  • T. Christine Stevens Award
  • Dolciani Award Guidelines
  • Morgan Prize Information
  • Selden Award Eligibility and Guidelines for Nomination
  • Selden Award Nomination Form
  • AMS-MAA-SIAM Gerald and Judith Porter Public Lecture
  • Etta Zuber Falconer
  • Hedrick Lectures
  • James R. C. Leitzel Lecture
  • Pólya Lecturer Information
  • Putnam Competition Individual and Team Winners
  • D. E. Shaw Group AMC 8 Awards & Certificates
  • Maryam Mirzakhani AMC 10 A Awards & Certificates
  • Two Sigma AMC 10 B Awards & Certificates
  • Jane Street AMC 12 A Awards & Certificates
  • Akamai AMC 12 B Awards & Certificates
  • High School Teachers
  • MAA Social Media

You are here

Amc resources.

AMC Resources consists of material for teachers , parents and students to help with mathematical problem solving and to prepare for the MAA American Mathematics Competitions (AMC).

AMC Preparation Materials For Purchase

AMC Preparation Materials for Purchase  consists of flash drives of past AMC 8/10/12, AIME and USAMO contests as well as AMC 8 and 10/12 Math Club Packages. 

Student and Educator Resources

Amc m-powered.

With inquiry-driven instruction and projects highlighting comprehension, retention, and critical thinking, the AMC M-Powered site promotes learning by doing.  Prepare for competitions, attend virtual events, and access lesson plans. Whether you are an educator, student, parent, or a member of our greater AMC community, we invite you to connect! 

art of problem solving sample questions

CURRICULUM INSPIRATIONS

Developed by james tanton ,  curriculum inspirations  is a collection of resources for middle and high school math teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from amc 8/10/12 contests — america’s longest-running and most prestigious mathematics competitions. now featured on m-powered., the art of problem solving.

The Art of Problem Solving  (AoPS) develops educational materials for the nation's top students in grades 2-12. The AoPS online community includes over 360,000 members from around the world, and the AoPS online school helps thousands of students each year develop tools needed for success in top-tier colleges and in prestigious math competitions.

Dummy View - NOT TO BE DELETED

art of problem solving sample questions

Competitions

  • Putnam Competition
  • MAA History
  • Policies and Procedures
  • Support MAA
  • Member Discount Programs
  • Periodicals
  • MAA Reviews
  • Propose a Session
  • MathFest Archive
  • Curriculum Resources
  • Outreach Initiatives
  • Professional Development
  • Communities

Connect with MAA

Mathematical Association of America P: (800) 331-1622 F: (240) 396-5647 Email: [email protected]

Copyright © 2024

  • Terms of Use
  • Privacy Policy
  • Mobile Version

2021 AMC 10A Problems

  • 1 Problem 1
  • 2 Problem 2
  • 3 Problem 3
  • 4 Problem 4
  • 5 Problem 5
  • 6 Problem 6
  • 7 Problem 7
  • 8 Problem 8
  • 9 Problem 9
  • 10 Problem 10
  • 11 Problem 11
  • 12 Problem 12
  • 13 Problem 13
  • 14 Problem 14
  • 15 Problem 15
  • 16 Problem 16
  • 17 Problem 17
  • 18 Problem 18
  • 19 Problem 19
  • 20 Problem 20
  • 21 Problem 21
  • 22 Problem 22
  • 23 Problem 23
  • 24 Problem 24
  • 25 Problem 25
  • 26 See also

\[(2^2-2)-(3^2-3)+(4^2-4)?\]

  • all of his happy snakes can add,
  • none of his purple snakes can subtract, and
  • all of his snakes that can't subtract also can't add.

Which of these conclusions can be drawn about Tom's snakes?

$\textbf{(A) }$

  • AMC 10 Problems and Solutions
  • Mathematics competitions
  • Mathematics competition resources

AMC logo.png

  • AMC 10 Problems

Something appears to not have loaded correctly.

Click to refresh .

art of problem solving sample questions

  • The Art of Effective Problem Solving: A Step-by-Step Guide
  • Learn Lean Sigma
  • Problem Solving

Whether we realise it or not, problem solving skills are an important part of our daily lives. From resolving a minor annoyance at home to tackling complex business challenges at work, our ability to solve problems has a significant impact on our success and happiness. However, not everyone is naturally gifted at problem-solving, and even those who are can always improve their skills. In this blog post, we will go over the art of effective problem-solving step by step.

You will learn how to define a problem, gather information, assess alternatives, and implement a solution, all while honing your critical thinking and creative problem-solving skills. Whether you’re a seasoned problem solver or just getting started, this guide will arm you with the knowledge and tools you need to face any challenge with confidence. So let’s get started!

Table of Contents

Problem solving methodologies.

Individuals and organisations can use a variety of problem-solving methodologies to address complex challenges. 8D and A3 problem solving techniques are two popular methodologies in the Lean Six Sigma framework.

Methodology of 8D (Eight Discipline) Problem Solving:

The 8D problem solving methodology is a systematic, team-based approach to problem solving. It is a method that guides a team through eight distinct steps to solve a problem in a systematic and comprehensive manner.

The 8D process consists of the following steps:

  • Form a team: Assemble a group of people who have the necessary expertise to work on the problem.
  • Define the issue: Clearly identify and define the problem, including the root cause and the customer impact.
  • Create a temporary containment plan: Put in place a plan to lessen the impact of the problem until a permanent solution can be found.
  • Identify the root cause: To identify the underlying causes of the problem, use root cause analysis techniques such as Fishbone diagrams and Pareto charts.
  • Create and test long-term corrective actions: Create and test a long-term solution to eliminate the root cause of the problem.
  • Implement and validate the permanent solution: Implement and validate the permanent solution’s effectiveness.
  • Prevent recurrence: Put in place measures to keep the problem from recurring.
  • Recognize and reward the team: Recognize and reward the team for its efforts.

Download the 8D Problem Solving Template

A3 Problem Solving Method:

The A3 problem solving technique is a visual, team-based problem-solving approach that is frequently used in Lean Six Sigma projects. The A3 report is a one-page document that clearly and concisely outlines the problem, root cause analysis, and proposed solution.

The A3 problem-solving procedure consists of the following steps:

  • Determine the issue: Define the issue clearly, including its impact on the customer.
  • Perform root cause analysis: Identify the underlying causes of the problem using root cause analysis techniques.
  • Create and implement a solution: Create and implement a solution that addresses the problem’s root cause.
  • Monitor and improve the solution: Keep an eye on the solution’s effectiveness and make any necessary changes.

Subsequently, in the Lean Six Sigma framework, the 8D and A3 problem solving methodologies are two popular approaches to problem solving. Both methodologies provide a structured, team-based problem-solving approach that guides individuals through a comprehensive and systematic process of identifying, analysing, and resolving problems in an effective and efficient manner.

Step 1 – Define the Problem

The definition of the problem is the first step in effective problem solving. This may appear to be a simple task, but it is actually quite difficult. This is because problems are frequently complex and multi-layered, making it easy to confuse symptoms with the underlying cause. To avoid this pitfall, it is critical to thoroughly understand the problem.

To begin, ask yourself some clarifying questions:

  • What exactly is the issue?
  • What are the problem’s symptoms or consequences?
  • Who or what is impacted by the issue?
  • When and where does the issue arise?

Answering these questions will assist you in determining the scope of the problem. However, simply describing the problem is not always sufficient; you must also identify the root cause. The root cause is the underlying cause of the problem and is usually the key to resolving it permanently.

Try asking “why” questions to find the root cause:

  • What causes the problem?
  • Why does it continue?
  • Why does it have the effects that it does?

By repeatedly asking “ why ,” you’ll eventually get to the bottom of the problem. This is an important step in the problem-solving process because it ensures that you’re dealing with the root cause rather than just the symptoms.

Once you have a firm grasp on the issue, it is time to divide it into smaller, more manageable chunks. This makes tackling the problem easier and reduces the risk of becoming overwhelmed. For example, if you’re attempting to solve a complex business problem, you might divide it into smaller components like market research, product development, and sales strategies.

To summarise step 1, defining the problem is an important first step in effective problem-solving. You will be able to identify the root cause and break it down into manageable parts if you take the time to thoroughly understand the problem. This will prepare you for the next step in the problem-solving process, which is gathering information and brainstorming ideas.

Step 2 – Gather Information and Brainstorm Ideas

Gathering information and brainstorming ideas is the next step in effective problem solving. This entails researching the problem and relevant information, collaborating with others, and coming up with a variety of potential solutions. This increases your chances of finding the best solution to the problem.

Begin by researching the problem and relevant information. This could include reading articles, conducting surveys, or consulting with experts. The goal is to collect as much information as possible in order to better understand the problem and possible solutions.

Next, work with others to gather a variety of perspectives. Brainstorming with others can be an excellent way to come up with new and creative ideas. Encourage everyone to share their thoughts and ideas when working in a group, and make an effort to actively listen to what others have to say. Be open to new and unconventional ideas and resist the urge to dismiss them too quickly.

Finally, use brainstorming to generate a wide range of potential solutions. This is the place where you can let your imagination run wild. At this stage, don’t worry about the feasibility or practicality of the solutions; instead, focus on generating as many ideas as possible. Write down everything that comes to mind, no matter how ridiculous or unusual it may appear. This can be done individually or in groups.

Once you’ve compiled a list of potential solutions, it’s time to assess them and select the best one. This is the next step in the problem-solving process, which we’ll go over in greater detail in the following section.

Step 3 – Evaluate Options and Choose the Best Solution

Once you’ve compiled a list of potential solutions, it’s time to assess them and select the best one. This is the third step in effective problem solving, and it entails weighing the advantages and disadvantages of each solution, considering their feasibility and practicability, and selecting the solution that is most likely to solve the problem effectively.

To begin, weigh the advantages and disadvantages of each solution. This will assist you in determining the potential outcomes of each solution and deciding which is the best option. For example, a quick and easy solution may not be the most effective in the long run, whereas a more complex and time-consuming solution may be more effective in solving the problem in the long run.

Consider each solution’s feasibility and practicability. Consider the following:

  • Can the solution be implemented within the available resources, time, and budget?
  • What are the possible barriers to implementing the solution?
  • Is the solution feasible in today’s political, economic, and social environment?

You’ll be able to tell which solutions are likely to succeed and which aren’t by assessing their feasibility and practicability.

Finally, choose the solution that is most likely to effectively solve the problem. This solution should be based on the criteria you’ve established, such as the advantages and disadvantages of each solution, their feasibility and practicability, and your overall goals.

It is critical to remember that there is no one-size-fits-all solution to problems. What is effective for one person or situation may not be effective for another. This is why it is critical to consider a wide range of solutions and evaluate each one based on its ability to effectively solve the problem.

Step 4 – Implement and Monitor the Solution

When you’ve decided on the best solution, it’s time to put it into action. The fourth and final step in effective problem solving is to put the solution into action, monitor its progress, and make any necessary adjustments.

To begin, implement the solution. This may entail delegating tasks, developing a strategy, and allocating resources. Ascertain that everyone involved understands their role and responsibilities in the solution’s implementation.

Next, keep an eye on the solution’s progress. This may entail scheduling regular check-ins, tracking metrics, and soliciting feedback from others. You will be able to identify any potential roadblocks and make any necessary adjustments in a timely manner if you monitor the progress of the solution.

Finally, make any necessary modifications to the solution. This could entail changing the solution, altering the plan of action, or delegating different tasks. Be willing to make changes if they will improve the solution or help it solve the problem more effectively.

It’s important to remember that problem solving is an iterative process, and there may be times when you need to start from scratch. This is especially true if the initial solution does not effectively solve the problem. In these situations, it’s critical to be adaptable and flexible and to keep trying new solutions until you find the one that works best.

To summarise, effective problem solving is a critical skill that can assist individuals and organisations in overcoming challenges and achieving their objectives. Effective problem solving consists of four key steps: defining the problem, generating potential solutions, evaluating alternatives and selecting the best solution, and implementing the solution.

You can increase your chances of success in problem solving by following these steps and considering factors such as the pros and cons of each solution, their feasibility and practicability, and making any necessary adjustments. Furthermore, keep in mind that problem solving is an iterative process, and there may be times when you need to go back to the beginning and restart. Maintain your adaptability and try new solutions until you find the one that works best for you.

  • Novick, L.R. and Bassok, M., 2005.  Problem Solving . Cambridge University Press.

Daniel Croft

Daniel Croft is a seasoned continuous improvement manager with a Black Belt in Lean Six Sigma. With over 10 years of real-world application experience across diverse sectors, Daniel has a passion for optimizing processes and fostering a culture of efficiency. He's not just a practitioner but also an avid learner, constantly seeking to expand his knowledge. Outside of his professional life, Daniel has a keen Investing, statistics and knowledge-sharing, which led him to create the website learnleansigma.com, a platform dedicated to Lean Six Sigma and process improvement insights.

Reducing Transport Waste: Mastering the ‘T’ in TIMWOODS

The triple threat to productivity: muda, muri, and mura explained, free lean six sigma templates.

Improve your Lean Six Sigma projects with our free templates. They're designed to make implementation and management easier, helping you achieve better results.

5S Floor Marking Best Practices

In lean manufacturing, the 5S System is a foundational tool, involving the steps: Sort, Set…

How to Measure the ROI of Continuous Improvement Initiatives

When it comes to business, knowing the value you’re getting for your money is crucial,…

8D Problem-Solving: Common Mistakes to Avoid

In today’s competitive business landscape, effective problem-solving is the cornerstone of organizational success. The 8D…

The Evolution of 8D Problem-Solving: From Basics to Excellence

In a world where efficiency and effectiveness are more than just buzzwords, the need for…

8D: Tools and Techniques

Are you grappling with recurring problems in your organization and searching for a structured way…

How to Select the Right Lean Six Sigma Projects: A Comprehensive Guide

Going on a Lean Six Sigma journey is an invigorating experience filled with opportunities for…

The PDFs below offer additional resources you can use with the Beast Academy curriculum, including extra practice, games, cards, and other materials to help you supplement the series.

All of the printables below are mentioned in the Beast Academy Guide and Practice materials.

art of problem solving sample questions

art of problem solving sample questions

Training Today's Brightest Minds to Solve Tomorrow's Problems

Art of problem solving brings its problem-solving teaching methods to local academic centers, with one virtual campus and 15 locations in the us, and more being added every year., we challenge students.

More than test preparation, our rigorous math, science, and language arts classes inspire students to reach their full potential.

VIEW COURSES

art of problem solving sample questions

FROM COAST TO COAST

We deliver the AoPS curriculum to eager learners in communities across the United States.

VIEW LOCATIONS

art of problem solving sample questions

Where Exploration Meets Challenge

Art of Problem Solving has been a leader in math education for high-performing students since 1993. We launched AoPS Academy in 2016 to bring our rigorous curriculum and expert instructors into classrooms around the United States. With campuses in 8 states (and growing!), our approach nurtures a love for complex problem solving, which is fully incorporated into all our math, science, and language arts courses. Most importantly, our students become part of a community of motivated learners that helps elevate them to new heights.

Interested in AoPS Academy?

Schedule a free consultation about your student's suitability.

Our family regularly talks about AoPS. We try to think about how our life would be different without you all. What if my daughter hadn't learned to love math? What if she never experienced being pushed to her limits? Overcoming failure? She wouldn't be who she is. And she is AWESOME! A very proud mom here. We are so fortunate that we found AoPS Academy. I credit AoPS for much of her confidence.

AoPS Academy parent to 16-year-old engineering major at UW and future cancer researcher

art of problem solving sample questions

Top 20 Problem Solving Interview Questions (Example Answers Included)

Mike Simpson 0 Comments

art of problem solving sample questions

By Mike Simpson

When candidates prepare for interviews, they usually focus on highlighting their leadership, communication, teamwork, and similar crucial soft skills . However, not everyone gets ready for problem-solving interview questions. And that can be a big mistake.

Problem-solving is relevant to nearly any job on the planet. Yes, it’s more prevalent in certain industries, but it’s helpful almost everywhere.

Regardless of the role you want to land, you may be asked to provide problem-solving examples or describe how you would deal with specific situations. That’s why being ready to showcase your problem-solving skills is so vital.

If you aren’t sure who to tackle problem-solving questions, don’t worry, we have your back. Come with us as we explore this exciting part of the interview process, as well as some problem-solving interview questions and example answers.

What Is Problem-Solving?

When you’re trying to land a position, there’s a good chance you’ll face some problem-solving interview questions. But what exactly is problem-solving? And why is it so important to hiring managers?

Well, the good folks at Merriam-Webster define problem-solving as “the process or act of finding a solution to a problem.” While that may seem like common sense, there’s a critical part to that definition that should catch your eye.

What part is that? The word “process.”

In the end, problem-solving is an activity. It’s your ability to take appropriate steps to find answers, determine how to proceed, or otherwise overcome the challenge.

Being great at it usually means having a range of helpful problem-solving skills and traits. Research, diligence, patience, attention-to-detail , collaboration… they can all play a role. So can analytical thinking , creativity, and open-mindedness.

But why do hiring managers worry about your problem-solving skills? Well, mainly, because every job comes with its fair share of problems.

While problem-solving is relevant to scientific, technical, legal, medical, and a whole slew of other careers. It helps you overcome challenges and deal with the unexpected. It plays a role in troubleshooting and innovation. That’s why it matters to hiring managers.

How to Answer Problem-Solving Interview Questions

Okay, before we get to our examples, let’s take a quick second to talk about strategy. Knowing how to answer problem-solving interview questions is crucial. Why? Because the hiring manager might ask you something that you don’t anticipate.

Problem-solving interview questions are all about seeing how you think. As a result, they can be a bit… unconventional.

These aren’t your run-of-the-mill job interview questions . Instead, they are tricky behavioral interview questions . After all, the goal is to find out how you approach problem-solving, so most are going to feature scenarios, brainteasers, or something similar.

So, having a great strategy means knowing how to deal with behavioral questions. Luckily, there are a couple of tools that can help.

First, when it comes to the classic approach to behavioral interview questions, look no further than the STAR Method . With the STAR method, you learn how to turn your answers into captivating stories. This makes your responses tons more engaging, ensuring you keep the hiring manager’s attention from beginning to end.

Now, should you stop with the STAR Method? Of course not. If you want to take your answers to the next level, spend some time with the Tailoring Method , too.

With the Tailoring Method, it’s all about relevance. So, if you get a chance to choose an example that demonstrates your problem-solving skills, this is really the way to go.

We also wanted to let you know that we created an amazing free cheat sheet that will give you word-for-word answers for some of the toughest interview questions you are going to face in your upcoming interview. After all, hiring managers will often ask you more generalized interview questions!

Click below to get your free PDF now:

Get Our Job Interview Questions & Answers Cheat Sheet!

FREE BONUS PDF CHEAT SHEET: Get our " Job Interview Questions & Answers PDF Cheat Sheet " that gives you " word-word sample answers to the most common job interview questions you'll face at your next interview .

CLICK HERE TO GET THE JOB INTERVIEW QUESTIONS CHEAT SHEET

Top 3 Problem-Solving-Based Interview Questions

Alright, here is what you’ve been waiting for: the problem-solving questions and sample answers.

While many questions in this category are job-specific, these tend to apply to nearly any job. That means there’s a good chance you’ll come across them at some point in your career, making them a great starting point when you’re practicing for an interview.

So, let’s dive in, shall we? Here’s a look at the top three problem-solving interview questions and example responses.

1. Can you tell me about a time when you had to solve a challenging problem?

In the land of problem-solving questions, this one might be your best-case scenario. It lets you choose your own problem-solving examples to highlight, putting you in complete control.

When you choose an example, go with one that is relevant to what you’ll face in the role. The closer the match, the better the answer is in the eyes of the hiring manager.

EXAMPLE ANSWER:

“While working as a mobile telecom support specialist for a large organization, we had to transition our MDM service from one vendor to another within 45 days. This personally physically handling 500 devices within the agency. Devices had to be gathered from the headquarters and satellite offices, which were located all across the state, something that was challenging even without the tight deadline. I approached the situation by identifying the location assignment of all personnel within the organization, enabling me to estimate transit times for receiving the devices. Next, I timed out how many devices I could personally update in a day. Together, this allowed me to create a general timeline. After that, I coordinated with each location, both expressing the urgency of adhering to deadlines and scheduling bulk shipping options. While there were occasional bouts of resistance, I worked with location leaders to calm concerns and facilitate action. While performing all of the updates was daunting, my approach to organizing the event made it a success. Ultimately, the entire transition was finished five days before the deadline, exceeding the expectations of many.”

2. Describe a time where you made a mistake. What did you do to fix it?

While this might not look like it’s based on problem-solving on the surface, it actually is. When you make a mistake, it creates a challenge, one you have to work your way through. At a minimum, it’s an opportunity to highlight problem-solving skills, even if you don’t address the topic directly.

When you choose an example, you want to go with a situation where the end was positive. However, the issue still has to be significant, causing something negative to happen in the moment that you, ideally, overcame.

“When I first began in a supervisory role, I had trouble setting down my individual contributor hat. I tried to keep up with my past duties while also taking on the responsibilities of my new role. As a result, I began rushing and introduced an error into the code of the software my team was updating. The error led to a memory leak. We became aware of the issue when the performance was hindered, though we didn’t immediately know the cause. I dove back into the code, reviewing recent changes, and, ultimately, determined the issue was a mistake on my end. When I made that discovery, I took several steps. First, I let my team know that the error was mine and let them know its nature. Second, I worked with my team to correct the issue, resolving the memory leak. Finally, I took this as a lesson about delegation. I began assigning work to my team more effectively, a move that allowed me to excel as a manager and help them thrive as contributors. It was a crucial learning moment, one that I have valued every day since.”

3. If you identify a potential risk in a project, what steps do you take to prevent it?

Yes, this is also a problem-solving question. The difference is, with this one, it’s not about fixing an issue; it’s about stopping it from happening. Still, you use problem-solving skills along the way, so it falls in this question category.

If you can, use an example of a moment when you mitigated risk in the past. If you haven’t had that opportunity, approach it theoretically, discussing the steps you would take to prevent an issue from developing.

“If I identify a potential risk in a project, my first step is to assess the various factors that could lead to a poor outcome. Prevention requires analysis. Ensuring I fully understand what can trigger the undesired event creates the right foundation, allowing me to figure out how to reduce the likelihood of those events occurring. Once I have the right level of understanding, I come up with a mitigation plan. Exactly what this includes varies depending on the nature of the issue, though it usually involves various steps and checks designed to monitor the project as it progresses to spot paths that may make the problem more likely to happen. I find this approach effective as it combines knowledge and ongoing vigilance. That way, if the project begins to head into risky territory, I can correct its trajectory.”

17 More Problem-Solving-Based Interview Questions

In the world of problem-solving questions, some apply to a wide range of jobs, while others are more niche. For example, customer service reps and IT helpdesk professionals both encounter challenges, but not usually the same kind.

As a result, some of the questions in this list may be more relevant to certain careers than others. However, they all give you insights into what this kind of question looks like, making them worth reviewing.

Here are 17 more problem-solving interview questions you might face off against during your job search:

  • How would you describe your problem-solving skills?
  • Can you tell me about a time when you had to use creativity to deal with an obstacle?
  • Describe a time when you discovered an unmet customer need while assisting a customer and found a way to meet it.
  • If you were faced with an upset customer, how would you diffuse the situation?
  • Tell me about a time when you had to troubleshoot a complex issue.
  • Imagine you were overseeing a project and needed a particular item. You have two choices of vendors: one that can deliver on time but would be over budget, and one that’s under budget but would deliver one week later than you need it. How do you figure out which approach to use?
  • Your manager wants to upgrade a tool you regularly use for your job and wants your recommendation. How do you formulate one?
  • A supplier has said that an item you need for a project isn’t going to be delivered as scheduled, something that would cause your project to fall behind schedule. What do you do to try and keep the timeline on target?
  • Can you share an example of a moment where you encountered a unique problem you and your colleagues had never seen before? How did you figure out what to do?
  • Imagine you were scheduled to give a presentation with a colleague, and your colleague called in sick right before it was set to begin. What would you do?
  • If you are given two urgent tasks from different members of the leadership team, both with the same tight deadline, how do you choose which to tackle first?
  • Tell me about a time you and a colleague didn’t see eye-to-eye. How did you decide what to do?
  • Describe your troubleshooting process.
  • Tell me about a time where there was a problem that you weren’t able to solve. What happened?
  • In your opening, what skills or traits make a person an exceptional problem-solver?
  • When you face a problem that requires action, do you usually jump in or take a moment to carefully assess the situation?
  • When you encounter a new problem you’ve never seen before, what is the first step that you take?

Putting It All Together

At this point, you should have a solid idea of how to approach problem-solving interview questions. Use the tips above to your advantage. That way, you can thrive during your next interview.

FREE : Job Interview Questions & Answers PDF Cheat Sheet!

Download our " Job Interview Questions & Answers PDF Cheat Sheet " that gives you word-for-word sample answers to some of the most common interview questions including:

  • What Is Your Greatest Weakness?
  • What Is Your Greatest Strength?
  • Tell Me About Yourself
  • Why Should We Hire You?

Click Here To Get The Job Interview Questions & Answers Cheat Sheet

art of problem solving sample questions

Co-Founder and CEO of TheInterviewGuys.com. Mike is a job interview and career expert and the head writer at TheInterviewGuys.com.

His advice and insights have been shared and featured by publications such as Forbes , Entrepreneur , CNBC and more as well as educational institutions such as the University of Michigan , Penn State , Northeastern and others.

Learn more about The Interview Guys on our About Us page .

About The Author

Mike simpson.

' src=

Co-Founder and CEO of TheInterviewGuys.com. Mike is a job interview and career expert and the head writer at TheInterviewGuys.com. His advice and insights have been shared and featured by publications such as Forbes , Entrepreneur , CNBC and more as well as educational institutions such as the University of Michigan , Penn State , Northeastern and others. Learn more about The Interview Guys on our About Us page .

Copyright © 2024 · TheInterviewguys.com · All Rights Reserved

  • Our Products
  • Case Studies
  • Interview Questions
  • Jobs Articles
  • Members Login

art of problem solving sample questions

Career Sidekick

26 Expert-Backed Problem Solving Examples – Interview Answers

Published: February 13, 2023

Interview Questions and Answers

Actionable advice from real experts:

picture of Biron Clark

Biron Clark

Former Recruiter

art of problem solving sample questions

Contributor

Dr. Kyle Elliott

Career Coach

art of problem solving sample questions

Hayley Jukes

Editor-in-Chief

Biron Clark

Biron Clark , Former Recruiter

Kyle Elliott , Career Coach

Image of Hayley Jukes

Hayley Jukes , Editor

As a recruiter , I know employers like to hire people who can solve problems and work well under pressure.

 A job rarely goes 100% according to plan, so hiring managers are more likely to hire you if you seem like you can handle unexpected challenges while staying calm and logical.

But how do they measure this?

Hiring managers will ask you interview questions about your problem-solving skills, and they might also look for examples of problem-solving on your resume and cover letter. 

In this article, I’m going to share a list of problem-solving examples and sample interview answers to questions like, “Give an example of a time you used logic to solve a problem?” and “Describe a time when you had to solve a problem without managerial input. How did you handle it, and what was the result?”

  • Problem-solving involves identifying, prioritizing, analyzing, and solving problems using a variety of skills like critical thinking, creativity, decision making, and communication.
  • Describe the Situation, Task, Action, and Result ( STAR method ) when discussing your problem-solving experiences.
  • Tailor your interview answer with the specific skills and qualifications outlined in the job description.
  • Provide numerical data or metrics to demonstrate the tangible impact of your problem-solving efforts.

What are Problem Solving Skills? 

Problem-solving is the ability to identify a problem, prioritize based on gravity and urgency, analyze the root cause, gather relevant information, develop and evaluate viable solutions, decide on the most effective and logical solution, and plan and execute implementation. 

Problem-solving encompasses other skills that can be showcased in an interview response and your resume. Problem-solving skills examples include:

  • Critical thinking
  • Analytical skills
  • Decision making
  • Research skills
  • Technical skills
  • Communication skills
  • Adaptability and flexibility

Why is Problem Solving Important in the Workplace?

Problem-solving is essential in the workplace because it directly impacts productivity and efficiency. Whenever you encounter a problem, tackling it head-on prevents minor issues from escalating into bigger ones that could disrupt the entire workflow. 

Beyond maintaining smooth operations, your ability to solve problems fosters innovation. It encourages you to think creatively, finding better ways to achieve goals, which keeps the business competitive and pushes the boundaries of what you can achieve. 

Effective problem-solving also contributes to a healthier work environment; it reduces stress by providing clear strategies for overcoming obstacles and builds confidence within teams. 

Examples of Problem-Solving in the Workplace

  • Correcting a mistake at work, whether it was made by you or someone else
  • Overcoming a delay at work through problem solving and communication
  • Resolving an issue with a difficult or upset customer
  • Overcoming issues related to a limited budget, and still delivering good work through the use of creative problem solving
  • Overcoming a scheduling/staffing shortage in the department to still deliver excellent work
  • Troubleshooting and resolving technical issues
  • Handling and resolving a conflict with a coworker
  • Solving any problems related to money, customer billing, accounting and bookkeeping, etc.
  • Taking initiative when another team member overlooked or missed something important
  • Taking initiative to meet with your superior to discuss a problem before it became potentially worse
  • Solving a safety issue at work or reporting the issue to those who could solve it
  • Using problem solving abilities to reduce/eliminate a company expense
  • Finding a way to make the company more profitable through new service or product offerings, new pricing ideas, promotion and sale ideas, etc.
  • Changing how a process, team, or task is organized to make it more efficient
  • Using creative thinking to come up with a solution that the company hasn’t used before
  • Performing research to collect data and information to find a new solution to a problem
  • Boosting a company or team’s performance by improving some aspect of communication among employees
  • Finding a new piece of data that can guide a company’s decisions or strategy better in a certain area

Problem-Solving Examples for Recent Grads/Entry-Level Job Seekers

  • Coordinating work between team members in a class project
  • Reassigning a missing team member’s work to other group members in a class project
  • Adjusting your workflow on a project to accommodate a tight deadline
  • Speaking to your professor to get help when you were struggling or unsure about a project
  • Asking classmates, peers, or professors for help in an area of struggle
  • Talking to your academic advisor to brainstorm solutions to a problem you were facing
  • Researching solutions to an academic problem online, via Google or other methods
  • Using problem solving and creative thinking to obtain an internship or other work opportunity during school after struggling at first

How To Answer “Tell Us About a Problem You Solved”

When you answer interview questions about problem-solving scenarios, or if you decide to demonstrate your problem-solving skills in a cover letter (which is a good idea any time the job description mentions problem-solving as a necessary skill), I recommend using the STAR method.

STAR stands for:

It’s a simple way of walking the listener or reader through the story in a way that will make sense to them. 

Start by briefly describing the general situation and the task at hand. After this, describe the course of action you chose and why. Ideally, show that you evaluated all the information you could given the time you had, and made a decision based on logic and fact. Finally, describe the positive result you achieved.

Note: Our sample answers below are structured following the STAR formula. Be sure to check them out!

EXPERT ADVICE

art of problem solving sample questions

Dr. Kyle Elliott , MPA, CHES Tech & Interview Career Coach caffeinatedkyle.com

How can I communicate complex problem-solving experiences clearly and succinctly?

Before answering any interview question, it’s important to understand why the interviewer is asking the question in the first place.

When it comes to questions about your complex problem-solving experiences, for example, the interviewer likely wants to know about your leadership acumen, collaboration abilities, and communication skills, not the problem itself.

Therefore, your answer should be focused on highlighting how you excelled in each of these areas, not diving into the weeds of the problem itself, which is a common mistake less-experienced interviewees often make.

Tailoring Your Answer Based on the Skills Mentioned in the Job Description

As a recruiter, one of the top tips I can give you when responding to the prompt “Tell us about a problem you solved,” is to tailor your answer to the specific skills and qualifications outlined in the job description. 

Once you’ve pinpointed the skills and key competencies the employer is seeking, craft your response to highlight experiences where you successfully utilized or developed those particular abilities. 

For instance, if the job requires strong leadership skills, focus on a problem-solving scenario where you took charge and effectively guided a team toward resolution. 

By aligning your answer with the desired skills outlined in the job description, you demonstrate your suitability for the role and show the employer that you understand their needs.

Amanda Augustine expands on this by saying:

“Showcase the specific skills you used to solve the problem. Did it require critical thinking, analytical abilities, or strong collaboration? Highlight the relevant skills the employer is seeking.”  

Interview Answers to “Tell Me About a Time You Solved a Problem”

Now, let’s look at some sample interview answers to, “Give me an example of a time you used logic to solve a problem,” or “Tell me about a time you solved a problem,” since you’re likely to hear different versions of this interview question in all sorts of industries.

The example interview responses are structured using the STAR method and are categorized into the top 5 key problem-solving skills recruiters look for in a candidate.

1. Analytical Thinking

art of problem solving sample questions

Situation: In my previous role as a data analyst , our team encountered a significant drop in website traffic.

Task: I was tasked with identifying the root cause of the decrease.

Action: I conducted a thorough analysis of website metrics, including traffic sources, user demographics, and page performance. Through my analysis, I discovered a technical issue with our website’s loading speed, causing users to bounce. 

Result: By optimizing server response time, compressing images, and minimizing redirects, we saw a 20% increase in traffic within two weeks.

2. Critical Thinking

art of problem solving sample questions

Situation: During a project deadline crunch, our team encountered a major technical issue that threatened to derail our progress.

Task: My task was to assess the situation and devise a solution quickly.

Action: I immediately convened a meeting with the team to brainstorm potential solutions. Instead of panicking, I encouraged everyone to think outside the box and consider unconventional approaches. We analyzed the problem from different angles and weighed the pros and cons of each solution.

Result: By devising a workaround solution, we were able to meet the project deadline, avoiding potential delays that could have cost the company $100,000 in penalties for missing contractual obligations.

3. Decision Making

art of problem solving sample questions

Situation: As a project manager , I was faced with a dilemma when two key team members had conflicting opinions on the project direction.

Task: My task was to make a decisive choice that would align with the project goals and maintain team cohesion.

Action: I scheduled a meeting with both team members to understand their perspectives in detail. I listened actively, asked probing questions, and encouraged open dialogue. After carefully weighing the pros and cons of each approach, I made a decision that incorporated elements from both viewpoints.

Result: The decision I made not only resolved the immediate conflict but also led to a stronger sense of collaboration within the team. By valuing input from all team members and making a well-informed decision, we were able to achieve our project objectives efficiently.

4. Communication (Teamwork)

art of problem solving sample questions

Situation: During a cross-functional project, miscommunication between departments was causing delays and misunderstandings.

Task: My task was to improve communication channels and foster better teamwork among team members.

Action: I initiated regular cross-departmental meetings to ensure that everyone was on the same page regarding project goals and timelines. I also implemented a centralized communication platform where team members could share updates, ask questions, and collaborate more effectively.

Result: Streamlining workflows and improving communication channels led to a 30% reduction in project completion time, saving the company $25,000 in operational costs.

5. Persistence 

Situation: During a challenging sales quarter, I encountered numerous rejections and setbacks while trying to close a major client deal.

Task: My task was to persistently pursue the client and overcome obstacles to secure the deal.

Action: I maintained regular communication with the client, addressing their concerns and demonstrating the value proposition of our product. Despite facing multiple rejections, I remained persistent and resilient, adjusting my approach based on feedback and market dynamics.

Result: After months of perseverance, I successfully closed the deal with the client. By closing the major client deal, I exceeded quarterly sales targets by 25%, resulting in a revenue increase of $250,000 for the company.

Tips to Improve Your Problem-Solving Skills

Throughout your career, being able to showcase and effectively communicate your problem-solving skills gives you more leverage in achieving better jobs and earning more money .

So to improve your problem-solving skills, I recommend always analyzing a problem and situation before acting.

 When discussing problem-solving with employers, you never want to sound like you rush or make impulsive decisions. They want to see fact-based or data-based decisions when you solve problems.

Don’t just say you’re good at solving problems. Show it with specifics. How much did you boost efficiency? Did you save the company money? Adding numbers can really make your achievements stand out.

To get better at solving problems, analyze the outcomes of past solutions you came up with. You can recognize what works and what doesn’t.

Think about how you can improve researching and analyzing a situation, how you can get better at communicating, and deciding on the right people in the organization to talk to and “pull in” to help you if needed, etc.

Finally, practice staying calm even in stressful situations. Take a few minutes to walk outside if needed. Step away from your phone and computer to clear your head. A work problem is rarely so urgent that you cannot take five minutes to think (with the possible exception of safety problems), and you’ll get better outcomes if you solve problems by acting logically instead of rushing to react in a panic.

You can use all of the ideas above to describe your problem-solving skills when asked interview questions about the topic. If you say that you do the things above, employers will be impressed when they assess your problem-solving ability.

More Interview Resources

  • 3 Answers to “How Do You Handle Stress?”
  • How to Answer “How Do You Handle Conflict?” (Interview Question)
  • Sample Answers to “Tell Me About a Time You Failed”

picture of Biron Clark

About the Author

Biron Clark is a former executive recruiter who has worked individually with hundreds of job seekers, reviewed thousands of resumes and LinkedIn profiles, and recruited for top venture-backed startups and Fortune 500 companies. He has been advising job seekers since 2012 to think differently in their job search and land high-paying, competitive positions. Follow on Twitter and LinkedIn .

Read more articles by Biron Clark

About the Contributor

Kyle Elliott , career coach and mental health advocate, transforms his side hustle into a notable practice, aiding Silicon Valley professionals in maximizing potential. Follow Kyle on LinkedIn .

Image of Hayley Jukes

About the Editor

Hayley Jukes is the Editor-in-Chief at CareerSidekick with five years of experience creating engaging articles, books, and transcripts for diverse platforms and audiences.

Continue Reading

12 Expert-Approved Responses to ‘What Makes You Unique?’ in Job Interviews

15 most common pharmacist interview questions and answers, 15 most common paralegal interview questions and answers, top 30+ funny interview questions and answers, 60 hardest interview questions and answers, 100+ best ice breaker questions to ask candidates, top 20 situational interview questions (& sample answers), 15 most common physical therapist interview questions and answers.

Gareth Evans

The Art of Solving Legal Problem Questions

art of problem solving sample questions

Table of Contents

❌ The Wrong Approach

✅ the successful technique, 4️⃣ the four-step process: irac, 1️⃣ 1. issue, 2️⃣ 2. rule, 3️⃣ 3. application, 4️⃣ 4. conclusion, 🎉 final thoughts.

Legal problem questions are something that trip up many law students. After all these years of writing free-flowing essays, suddenly you have to completely change the way you think about writing and answering questions. Not only will the typical essay approach no longer work when it comes to tackling problem questions, but clear structure is more important than ever. So today I want to help you develop a process for answering problem questions that works every single time. 

I think problem questions are great if you have a system or process for approaching them, so this is how I’m going to break down the article. Firstly, I want to show you the wrong approach most law students take, specifically looking at how they differ from essay questions. Secondly, I want to help you create your own problem solving technique that is equally applicable across all your law modules. So stick around and let’s get into it.

Perhaps the biggest mistake law students make is using their essay skills to answer problem questions.

In my first year of law school, this is something that I did too. After all, why wouldn’t a problem question have an introduction and a conclusion? It seems as though it makes sense to demonstrate your contextual knowledge of the law and to show the examiner your thought process in a coherent arc from start to finish. Unfortunately, this just demonstrate a poor awareness of what a problem question really is. 

With essays, you are supposed to critically analyse the law and associated academic opinion, interjecting your own thoughts into a form of written debate. Whereas with problem questions, you’re not engaging in a verbal battle of opinions, but a structured application of the law to a set of facts. In other words, your goal is not to debate whether or not a law is right or wrong, but to offer advice to a fictitious client about their legal responsibilities.

Think about it like this: if they were a real client would you really sandwich your legal advice with introductions and conclusions? Would they really care about academic opinion or the intricacies of the law? No, that would be absurd! 

Your job is to simply and coherently explain how the law applies to the relevant facts that concern them, and what this could mean for them. Will they go to jail? Will they get a fine? What are the consequences? 

This is what your client cares about in real life and in a problem question.

The key to writing brilliant answers to problem questions then is treating these fictitious clients as real clients and having a structured technique for providing advice to them. 

Your own university has probably given you some advice already on how to structure these questions, but they have probably done little more than chucked an acronym at you and left you to it, without explaining how you can use each element of these acronyms to your advantage. 

So, I will do their job for them by breaking down the technique that actually works.

The IRAC process for answering problem questions is my favourite acronym to use, and it stands for issue, rule, application, and conclusion. So, first you identifying the issue that you are dealing with and advising on; second, you identify the relevant legal rule applies; thirdly, you apply the rule to the issue at hand; before reaching a conclusion that answers the question.

I’m going to talk about each element in turn, but before I do so it’s imperative you NEVER apply the IRAC process to the question as a whole. In other words, you aren’t breaking your answer into four big chunks where you begin by looking at all the issues, then all the rules, then apply the rules, before crafting a huge conclusion on everything. Instead, you are dividing the answer into a number of separate issues and sub-issues that must be explored in turn using the IRAC method. 

For example, let’s say we had a problem question dealing with 3 different people, Tom, Daisy, and Harry and their respective liability for an injury sustained by Emily. We could break down the problem question by structuring our answer as to the liability of each party (e.g. Tom’s liability, Daisy’s liability, and Harry’s liability). Then within each of these ‘issues’ we should be able to identify subissues, which we apply the IRAC method to. For example, you may have to analyse whether Harry owes a duty of care or whether there are any defences available to him, in which case you should make a statement of the law and apply it to the facts before making a conclusion on that subissue.

Warning to one side, let’s wrap our heads around each element of IRAC.

Your job here is to look at the facts in the problem question and analyse them in relation to two key variables: parties and events. So, this is a two stage process.

Firstly, with respect to parties, jot down each of the people that are identified in the problem question and write next to them whether they are someone who has a claim (i.e. something happened to them) or they are someone who faces liability (i.e. they did something wrong).

Once you’ve done that, you want to determine how each of the parties relate to one another. In other words, you need to clearly write down how the ‘victim’ in the problem question relates to the ‘wrongdoer’ and what the specific event that took place to potentially give rise to a claim. 

The purpose of this exercise is to build the structure for your answer setting you up for success. The obvious approach would be to structure your problem question by considering each party one by one (e.g. Tom’s liability), but clearly establishing the issues allows you to see the myriad of possible offences that may need to be analysed as sub-issues. For example, if Tom killed Emily, we will have to analyse the actus reus and mens rea of the offence as sub-issues to help us determine whether or not it was murder.

Now we have a structure for our answer based on the issues within the problem question, it’s time to turn to the law.

I like to open up my textbook, statute books, and relevant websites to simply learn the law around the issues I identified and create some VERY brief notes. There’s no need to go into too much depth because you’re simply looking for supporting authority. For instance, if I was trying to prove mens rea I may look for relevant cases that help explain what is meant by ‘intention’ or with theft I will be looking for its statutory definition.

My top tip here though is to avoid abstract statements of the law. The purpose of finding the relevant ‘rules’ is to simply state the law rather than applying – you don’t need to think too deeply as you’re only making it clear to the reader you are aware of what needs to be proved for there to be liability. What does the statutory law say? What does the case law say? These are the sorts of things you want to write down; the application of this law comes in the next stage.

Application is the crux of a winning answer to any problem question.

Having identified the issue at hand and the relevant law, our focus is on marrying them together to answer the questions. Fortunately, this is a relatively straightforward process as long as we aren’t lazy in our application and don’t just end up critically analysing the law as if we were dealing with an essay.

For example, if we were dealing with the issue of Tom taking Emily’s purse and his liability for theft, we would start by turning to the definition of theft, which is the dishonest appropriation of property belonging to another with intention to permanently deprive. 

By breaking down the components of this definition we find that the actus reus of theft involves appropriating property belonging to another. We can then apply the law to the facts by asking ourselves whether or not Tom’s actions of picking up the purse and placing it in his rucksack was an exercise of the rights of ownership, and therefore whether or not it makes out the actus reus of the crime. 

You see, a good understanding of the law makes its application to the facts quite straightforward. By doing the groundwork in advance of finding the issues, understanding the facts of the case, and identifying the law, you can approach the problem question with a coherent understanding of what advice you need to give.

For each of the issues and sub-issues you identified at the start you need to form a conclusion. This conclusion must address the overall liability of the parties, including the potential ‘punishment’ that they could face, and ensure that all your conclusions are aligned and consistent with one another. 

Unlike an essay question, where a more authoritative conclusion is usually desired, in a problem question you don’t need to be determinative. The nature of a problem question means there are going to be some grey areas of the law and saying “it depends” could be the ‘correct’ answer. But if you do that, make sure you state what the contingent factors and how liability would differ depending on the approach taken by the court.

The whole approach is extremely methodical, and if you follow these steps in order every time you answer a problem question – regardless of the law module you are taking – then you have a strategy that should lead to some awesome answers. It’s a one-size-fits-all approach where you don’t even have to think to get first class grades.

A methodical approach is possible to many other areas of your law degree. So, if you enjoyed this article, you’d probably also enjoy learning more about my approach to studying:  A Masterclass in Studying Law

Thanks for reading!

IMAGES

  1. 10 Problem Solving Skills Examples: How To Improve

    art of problem solving sample questions

  2. 39 Best Problem-Solving Examples (2024)

    art of problem solving sample questions

  3. Problem Solving Skills Examples

    art of problem solving sample questions

  4. Questions to Help Kids Solve Problems (Infographic)

    art of problem solving sample questions

  5. The Art of Problem Solving / Faculty of Engineering and Built

    art of problem solving sample questions

  6. The Art of Problem Solving in Business

    art of problem solving sample questions

VIDEO

  1. Art of Problem Solving: 2018 AMC 12 A #23

  2. 06 DÇ Hesaplar 1

  3. Art of Problem Solving: Probability and Combinations Part 2

  4. Solve if you're A genius

  5. 2D-Composite Transformation -Reflection

  6. Art of Problem Solving: 2012 AIME I #8

COMMENTS

  1. Art of Problem Solving

    AMC 10 Problems and Solutions - AoPS Wiki. Art of Problem Solving. AoPS Online. Math texts, online classes, and more. for students in grades 5-12. Visit AoPS Online ‚. Books for Grades 5-12 Online Courses. Beast Academy. Engaging math books and online learning.

  2. Art of Problem Solving

    AMC Problems and Solutions. You can find problems and solutions from the math contests run by the American Mathematics Competitions on the following pages: AMC 8 / AJHSME Problems and Solutions. AMC 10 Problems and Solutions. AMC 12 Problems and Solutions. AHSME Problems and Solutions.

  3. Art of Problem Solving

    Art of Problem Solving offers two other multifaceted programs. Beast Academy is our comic-based online math curriculum for students ages 6-13. And AoPS Academy brings our methodology to students grades 2-12 through small, in-person classes at local campuses. Through our three programs, AoPS offers the most comprehensive honors math pathway ...

  4. Resources

    Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. Others feature problems from MATHCOUNTS , the AMC 10/12 , and the AIME competitions.

  5. Art of Problem Solving

    2004 AMC 12A. 2005 AMC 12A. 2005 AMC 12B. 2006 AMC 12A. 2006 AMC 12B. Other Ideas. Links to forum topics where each problem was discussed. PDF documents with all problems for each test. Lists of answers for each test.

  6. Art of Problem Solving

    Problem 7. Let What is the ratio of the sum of the odd divisors of to the sum of the even divisors of . Solution. Problem 8. Three equally spaced parallel lines intersect a circle, creating three chords of lengths and . What is the distance between two adjacent parallel lines? Solution. Problem 9. What is the value of. Solution. Problem 10

  7. AMC Resources

    The Art of Problem Solving. The Art of Problem Solving (AoPS) develops educational materials for the nation's top students in grades 2-12. The AoPS online community includes over 360,000 members from around the world, and the AoPS online school helps thousands of students each year develop tools needed for success in top-tier colleges and in ...

  8. Art of Problem Solving

    Problem 23. Frieda the frog begins a sequence of hops on a grid of squares, moving one square on each hop and choosing at random the direction of each hop-up, down, left, or right. She does not hop diagonally. When the direction of a hop would take Frieda off the grid, she "wraps around" and jumps to the opposite edge.

  9. PDF Art of Problem Solving Pre-Test Introduction to Algebra

    Step 1:The student should attempt all of the questions below without a calculator and with-out any help. There is no time limit. ... Art of Problem Solving Pre-Test Introduction to Algebra 3. Linear Equations. Solve each of the following equations: (a)3r 4 = 16 7r (b) 2x 3 5 = 4 3x 7 (c)2 t 4 = 3 5 t 6 4. Exponent Laws.

  10. PDF Nonlecture Notes

    Art: Problem solving is an art. Like any art it requires proper attitude, practice, creativity, and passion to master. Like any artist the problem solver creates works of wonder and surprise and sublime aesthetic value. Beauty: A correct solution is better than no solution. A massive straightforward slog

  11. The Art of Effective Problem Solving: A Step-by-Step Guide

    Step 1 - Define the Problem. The definition of the problem is the first step in effective problem solving. This may appear to be a simple task, but it is actually quite difficult. This is because problems are frequently complex and multi-layered, making it easy to confuse symptoms with the underlying cause.

  12. PDF The Art of Problem Solving

    The Art of Problem Solving. Math 479 - Dr. Monks. Contemplation within activity is a million times better than contemplation within stillness. -Hakuin. 1 The Way of Problem Solving. •Art: Problem solving is an art. Like any art it requires proper attitude, practice, creativity, and passion to master.

  13. Effective Questions to Support Problem-Solving Thinking

    Beware of asking prompting questions. Prompting questions can take away the ownership of the thinking from the problem solver. These are closed-ended questions, multiple-choice questions, or your idea or suggestion with a question mark at the end. These questions are like a wolf dressed up in sheep's clothing — they are really your idea or ...

  14. Beast Academy

    Art of Problem Solving. All Books T-shirt FAQs. Bundle & Save! Combine books with our online curriculum. ... All of the printables below are mentioned in the Beast Academy Guide and Practice materials. 1A Counting, Shapes, Comparing. Loading... Cards. p. 39. Loading... Four in a Row ... Final Round Questions. guide p. 109 @ Direct link to ...

  15. AoPS Academy

    Art of Problem Solving has been a leader in math education for high-performing students since 1993. We launched AoPS Academy in 2016 to bring our rigorous curriculum and expert instructors into classrooms around the United States. With campuses in 8 states (and growing!), our approach nurtures a love for complex problem solving, which is fully ...

  16. Art Of Problem Solving: Ask Smarter Questions

    Questions are the business equivalent of sonar. Asking the right question will help you find your way through a problem, locate the right customers, avoid future difficulties, and outperform your competitors.Questions also act as a filter that will help you decipher the key elements of a situation. Tough business situations require deep assessment.

  17. Top 20 Problem Solving Interview Questions (Example Answers Included)

    MIKE'S TIP: When you're answering this question, quantify the details. This gives your answer critical context and scale, showcasing the degree of challenge and strength of the accomplishment. That way, your answer is powerful, compelling, and, above all, thorough. 2. Describe a time where you made a mistake.

  18. 8 Common Problem-Solving Interview Questions and Answers

    2. Tell me about a time when you faced an unexpected challenge at work. Tip: For this question, you'll want to choose a specific example from your work history to demonstrate your ability to be flexible while solving problems. To stay focused, you can use the STAR method to answer this question.

  19. Math Message Boards FAQ & Community Help

    contests on aops Practice Math Contests USABO. news and information AoPS Blog Emergency Homeschool Resources Podcast: Raising Problem Solvers. just for fun Reaper Greed Control. view all 0. ... Art of Problem Solving is an ACS WASC Accredited School. aops programs. AoPS Online. Beast Academy. AoPS Academy. About. About AoPS. Our Team. Our ...

  20. 50 Interview Questions About Problem Solving (With Answers)

    Demonstrating your ability to tackle challenges effectively can set you apart from other applicants. Here are five tips to help you showcase your problem-solving skills during an interview: 1. Use the STAR Method. Structure your responses using the Situation, Task, Action, and Result (STAR) method.

  21. 26 Expert-Backed Problem Solving Examples

    The example interview responses are structured using the STAR method and are categorized into the top 5 key problem-solving skills recruiters look for in a candidate. 1. Analytical Thinking. Situation: In my previous role as a data analyst, our team encountered a significant drop in website traffic.

  22. The Art of Solving Legal Problem Questions

    The Four-Step Process: IRAC. The IRAC process for answering problem questions is my favourite acronym to use, and it stands for issue, rule, application, and conclusion. So, first you identifying the issue that you are dealing with and advising on; second, you identify the relevant legal rule applies; thirdly, you apply the rule to the issue at ...