#Math Olympiad Practice Questions

[littlegeniusacademy]

5 Secrets to increase your child’s interest in Maths

Mathematics plays a crucial role in our daily lives, so teachers and parents want their kids to excel in the subject to secure a promising career in the future. However, the pressure to perform well in Mathematics can often discourage students from developing a connection with Maths. 

Instilling an interest in Maths through a friendly approach is crucial. So here are five secrets that will help your child to love Maths. 

Improvise - It is essential to understand all the basic concepts clearly. Different children have different ways of understanding the concepts. The playful approach that involves familiar objects can make the subject more approachable and lessons lighter and more straightforward. 

Game play - You can turn Maths lessons into a game to keep the interest alive in every class. You can buy Math-based board games to help them improvise. The biggest challenge for children in understanding Maths is to conquer their fear of Maths. The learning that is based on games will help them break down their anxiety, and they will look forward to learning Maths every day. 

Make Maths a part of their everyday life - Telling your child stories can help them understand Maths better. Ask them to count the number of birds in the park, ask them to count the number of apples in a kilo while you are out shopping, and introduce them to the concepts of measurement while measuring their height. These concepts should be taught to them in a fun way. 

Practice - Once understanding the concepts begins, they need to be implemented. There are many Maths-based toys and activity sets available; use them to help your child get better at Maths. Little Genius is one of the leading Maths Classes in Vadodara. Our mentally stimulating sessions help kids to understand and grasp the basic concepts of Maths better. 

Demystifying Maths Problems - Understanding Maths problems can be problematic and confusing for your child. Simplify them by using sketches or real-life objects. For example, if Tina has 6 apples and gives 2 apples to Payal. How many apples remain with Tina? Here, you can use sketches and objects to explain and make it simple for the child to figure out the answer through such simple techniques. 

Make Maths more approachable by helping your child fight his fear for Maths. Practicing patience and compassion can help your child to fight fears bravely. Set realistic goals, go step-by-step and let the child discover at his own pace instead of pressuring them to keep up with their peers. Remember every child learns at his own pace! If you want your child to get tutored in the best Maths Classes, then consider enrolling them in Little Genius. In addition to regular math classes, we also offer Math Olympiad practice classes. For more information, please visit our website. https://littlegeniusacademy.co.in/

[ameyauneedtostop]

If you're good at math:

1. Concept Integration:

Find sums which require in-depth knowledge of more than one mathematical concept to solve. A simple example would be using algebraic expressions as sides of a right angled triangle and finding hypotenuse using Pythagoras theorem and then finding the square root of the polynomial by factorization.

2. Proofs:

Practice writing and understanding mathematical proofs. This helps you develop logical reasoning skills and a deeper understanding of the foundational principles behind mathematical concepts. Very Very important even if it is excluded in the syllabus.

3. Explore Multiple Methods: A continuation of the previous tip; when you learn derivations, you can find short-cuts that work out for you. Or you can explore other methods of solving like graphing two simultaneous linear equations to solve, etc

4. Marry a whiteboard: Seriously, it's so much fun to solve questions on whiteboard. Also, Feynman technique (it's basic so not preaching)

5. Give Olympiads:

  Don’t shy away from tackling advanced topics or materials beyond your current coursework. Give Olympiads. They broaden your thinking capacity, and they're reallyyyyyy fun to prepapre for ✨

6. Develop Intuition:

 Work on developing mathematical intuition. This involves recognizing patterns, making educated guesses, and estimating solutions before rigorously solving problems. Cannot stress enough on this point. I got a guess correct. It was fill in the integer type questions and the probability of getting an answer right if picked at random was 1/100. Still, went with my gut instict and got it correct.

7. Use Online Resources:

Platforms like Khan Academy, MIT OpenCourseWare, and Coursera offer advanced math courses and lectures that can supplement your learning.

8. Follow me: most important tip 😉😁

[theresa-of-liechtenstein]

man that got me thinking about the catholic school days… like transferring from public school was such a comedic experience i look back on it now and have to laugh

some people treated me like a poor unfortunate soul and asked me questions about my experience like i just walked into civilization from a jungle (“did people… bully you?” cue me: “…bullying exists everywhere?”)

i was also an Anomaly because when i took the entrance test i pretty much aced the math section and was placed into advanced math straightaway which hadn’t been seen from a transfer student before, which i at the time (forgetting i was literally in math olympiad and advanced math already) thought was much less of a big deal than they were making. (“they were impressed i could calculate the area of a trapezoid,” i complained to my mother after they informed me of my placement. “it was easy. they literally gave me the formula.”)

on my very first day there was held a pep rally for the middle school (this was a preschool through 8th grade school) and one of the “games” was to have a student from each year tell the whole middle school about something they did that summer. i don’t know who came up with that or who even thought that would be a suitable game to play for 11-13 year olds. anyway nobody was volunteering, the usual Kids Who Did Public Speaking didn’t want to do it, so i volunteered myself and delivered an impromptu stand-up set about my priest uncle coming to visit. i won.

the son of my favorite english teacher (who by the way. absolutely loved me from the moment i did that stand-up set on the first day. pretty much all my english teachers there simply loved me i have no clue why) straight up said to my face as we walked out of science class “you’re really smart, for a public school kid” and i was SO offended

i befriended most if not all the sisters on campus and spent time chatting with the one in the library who was from the democratic republic of the congo and spoke french swahili and english. or working the snack bar with another down near the playground who let me stack the pudding cups in the fridge. even the one running the cafeteria, who everyone said was mean, was actually really friendly if you were polite to her and were actually interested in her well-being. my mom and i even ended up being friends with the really quiet one who guarded the gate in the mornings

so much of junior high was me doing whatever the fuck i wanted honestly. i snuck broadway references into things. i think once i even used a matilda the musical song in a school project. i danced with a girl at the last formal social and nobody batted an eye.

we had our inaugural shakespeare performances outdoors where we did selected scenes from plays and i got lady macbeth hyping macbeth up to frame the guards for murdering the king (bc the guy teaching it was like this is the most challenging scene and i was like. bet). one of my friends made fake blood from a chocolate base (he was SO good at practical effects my god) and i was dying to taste it bc he said it was edible so we took our bows when the scene was over and i was still on stage in costume when i stuck a blood-covered finger in my mouth. cue HORRIFIED gasps from the audience. one of my classmate’s little sister was so terrified she would not speak to me for months.

we did eighth grade superlatives and there were fewer categories than students (but there were few students anyway so everyone got a superlative) and even though there were multiple people per superlative, i was the only one who was a “Responsible Individual”. which was hilarious

also i went from being the Poor Little Public School Kid to like. by the advisor’s words, “one of the best school presidents,” so i can really say i peaked in junior high

all this was what put me on the radar of the mother who, four years later, expressed that she wanted me to follow her son to [UNNAMED IVY LEAGUE SCHOOL]. which is the funniest bit of all

however i will say that talking to people from that era, they’re a little too quick to pin down our current achievements on the fact we went to catholic school, which is annoying. was talking to someone who was saying “it’s all because of the foundation catholic school gave you” conveniently forgetting i went to public school for FAR longer than i went to private school. it makes me wonder that, if i had been slightly less achieving now than i am, would they be adamant about my “catholic school foundations”? but that’s just speculation. i personally just had a fun time and i really enjoyed myself lol

[responsible-lime]

How did you make it to win in the National Math Olympiads?

The Unified Council conducts the International Mathematical Olympiad to discover raw talents in students of Classes 1 to 12.

Maths Olympiad 2023 is a platform where a student can showcase their skills in solving mathematical problems. Over 100 countries from 5 continents participate in this international-level competition. Candidates are chosen at the national level first to represent a country.

There is no reason to worry or feel anxious. Good practice and motivation, along with the best online study material, will escalate your concentration and confidence.

Here is the list of tips suggested to start preparing & Follow this list and ensure proper utilisation of your time and other resources.

Know Your Syllabus First

Gather Study Material

Prepare A Routine To Follow

Get Deeper Into the Concepts

Practice and Practice Again

Take Help From the Online Courses

Track Your Progress

Every competitive exam needs a brilliant set of study materials to follow. You will also have to gather information regarding the question pattern and get accustomed to the MCQ-type answering system. Prepare well for the Maths Olympiad and score well.

[brainstormhome]

Why Home Tuition is the Key to Better Grades

In today’s competitive academic environment, every student aims to achieve excellent grades. However, traditional classroom settings may not always provide the personalized attention required to meet individual learning needs. That’s where home tuition comes in. With a tailored approach, dedicated focus, and expert guidance, home tuition has become the ultimate solution for boosting academic performance. If you’re looking for home tuition in Chandigarh, Brainstorm Home Tuition offers exceptional services designed to help students excel.

Understanding the Importance of Home Tuition

Classroom education has its limitations. With one teacher managing dozens of students, providing individual attention becomes a challenge. Home tuition bridges this gap by offering a one-on-one learning experience. A personal tutor can identify a student’s strengths, address weaknesses, and adapt teaching methods to suit their learning style.

How Home Tuition Improves Academic Performance

1. Personalized Learning

Home tuition focuses entirely on the student’s needs. Unlike classrooms, where a fixed curriculum is followed, home tutors adapt lessons to match the learner’s pace and understanding. This approach helps students grasp complex topics easily.

2. Individual Attention

Every student learns differently. Some may require extra guidance in mathematics, while others may need help improving their language skills. Home tuition provides a distraction-free environment, allowing the tutor to focus entirely on the student’s progress.

3. Better Time Management

Home tuition ensures that study schedules are effectively planned. Tutors help students balance their workload, manage their time efficiently, and prepare for exams without stress.

4. Immediate Feedback and Doubt Clearing

In classrooms, students often hesitate to ask questions due to peer pressure. In home tuition, students can freely discuss their doubts and receive immediate clarification, enhancing their understanding of the subject.

5. Customized Exam Preparation

Home tutors use tailored strategies to help students prepare for exams. From solving previous years’ question papers to focusing on high-weightage topics, students are equipped to tackle exams confidently.

Why Choose Home Tuition in Chandigarh?

For students in Chandigarh, the academic competition is fierce. Whether preparing for board exams, competitive tests, or simply aiming for better grades, home tuition offers a focused and efficient way to excel.

Benefits of Home Tuition in Chandigarh with Brainstorm Home Tuition:

Experienced and qualified tutors for all subjects.

Personalized lesson plans tailored to the curriculum of CBSE, ICSE, and state boards.

Flexible schedules to suit students’ needs.

Proven track record of helping students achieve higher grades.

Who Can Benefit from Home Tuition?

1. Students Struggling with Specific Subjects

Home tuition is ideal for students finding it hard to keep up with certain subjects like math, science, or languages. Tutors offer specialized attention to overcome these challenges.

2. High-Achieving Students

Even top-performing students can benefit from home tuition to deepen their understanding and maintain their grades.

3. Exam-Ready Students

Those preparing for board exams or competitive tests like NEET, JEE, or Olympiads can gain an edge with focused preparation plans from home tutors.

Tips to Maximize the Benefits of Home Tuition

Set Clear Goals: Work with your tutor to define your academic objectives.

Practice Consistently: Regular practice helps reinforce concepts learned during tuition.

Stay Engaged: Actively participate in discussions and ask questions.

Review Regularly: Revisiting lessons ensures better retention and understanding.

Brainstorm Home Tuition: Your Partner in Academic Success

At Brainstorm Home Tuition, we understand the challenges students face in today’s education system. With over 15 years of experience in providing home tuition in Chandigarh, our mission is to empower students with knowledge and skills to achieve their academic goals.

Why Choose Us?

Dedicated and experienced tutors.

Tailored teaching approaches for every student.

Focus on building confidence and fostering independent learning.

Affordable and flexible plans to meet your needs.

Final Thoughts

When it comes to achieving better grades, home tuition proves to be a game-changer. With personalized attention, expert guidance, and a structured approach, students can overcome challenges and excel academically. If you’re searching for reliable home tuition in Chandigarh, look no further than Brainstorm Home Tuition. Let us help your child unlock their full potential and achieve academic excellence.

Contact us today to schedule a consultation and take the first step towards a brighter academic future!

[veryynormal]

hi so im doing the 100 days reinvention challenge, here are my goals:

physical: WALK to class at least thrice a week, workout twice a week, go on a walk/run once a week, yoga once a week.

mental: meditate, practice mindfulness and try to be in the present moment

emotional: journal, ideally, everyday

professional (academic): get more than 60% on all tests, pay better attention in class, ask more questions in class, stop wasting time.

start solving olympiad math/prepare for cmiee

personal: play chess GOD i miss chess + read for at least 30 mins everyday

habits i want to develop: waking up early that's when I have my best hours, eating healthier.

[govindhtech]

OpenAI o1-preview, o1-mini: Advanced Reasoning Models

OpenAI o1-preview, OpenAI o1-mini, A new collection of models for reasoning that address challenging issues.

OpenAI o1-preview

OpenAI has created a new line of AI models that are meant to deliberate longer before reacting. Compared to earlier versions, they can reason their way through challenging tasks and tackle more challenging math, science, and coding challenges.

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The first installment of this series is now available through ChatGPT and its API. OpenAI anticipates frequent upgrades and enhancements as this is only a preview. OpenAI is also including evaluations for the upcoming upgrade, which is presently being developed, with this release.

How it functions

These models were trained to think through situations more thoroughly before responding, much like a human would. They learn to try various tactics, improve their thought processes, and own up to their mistakes through training.

In OpenAI experiments, the upcoming model upgrade outperforms PhD students on hard benchmark tasks in biology, chemistry, and physics. It also performs exceptionally well in coding and math. GPT-4o accurately answered only 13% of the questions in an exam used to qualify for the International Mathematics Olympiad (IMO), compared to 83% for the reasoning model. Their coding skills were tested in competitions, and in Codeforces tournaments, they scored in the 89th percentile.

Many of the functions that make ChatGPT valuable are still missing from this early model, such as posting files and photographs and searching the web for information. In the near future, GPT-4o will be more capable in many typical instances.

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However, this marks a new level of AI power and a substantial advancement for complicated thinking tasks. In light of this, OpenAI is calling this series OpenAI o1-preview and resetting the counter to 1.

Security

In the process of creating these new models, OpenAI is also developed a novel method for safety training that uses the models’ capacity for reasoning to force compliance with safety and alignment requirements. It can implement their safety regulations more successfully by reasoning about them in the context of the situation.

Testing how effectively their model adheres to its safety guidelines in the event that a user attempts to circumvent a process known as “jailbreaking” is one method they gauge safety. GPT-4o received a score of 22 (out of 100) on one of OpenAI’s most difficult jailbreaking tests, but OpenAI o1-preview model received an 84. Further information about this can be found in their study post and the system card.

OpenAI has strengthened its safety work, internal governance, and federal government coordination to match the enhanced capabilities of these models. This includes board-level review procedures, such as those conducted by its Safety & Security Committee, best-in-class red teaming, and thorough testing and evaluations utilizing its Preparedness Framework.

OpenAI recently finalized collaborations with the AI Safety Institutes in the United States and the United Kingdom to further its commitment to AI safety. OpenAI has initiated the process of putting these agreements into practice by providing the institutes with preliminary access to a research version of this model. This was a crucial initial step in its collaboration, assisting in the development of a procedure for future model research, assessment, and testing both before and after their public release.

For whom it is intended

These improved thinking skills could come in handy while solving challenging puzzles in math, science, computing, and related subjects. For instance, physicists can use OpenAI o1-preview to create complex mathematical formulas required for quantum optics, healthcare researchers can use it to annotate cell sequencing data, and developers across all domains can use it to create and implement multi-step workflows.

OpenAI O1-mini

The o1 series is excellent at producing and debugging complex code with accuracy. OpenAI is also launching OpenAI o1-mini, a quicker, less expensive reasoning model that excels at coding, to provide developers with an even more effective option. For applications requiring reasoning but not extensive domain knowledge, o1-mini is a powerful and economical model because it is smaller and costs 80% less than o1-preview.

How OpenAI o1 is used

Users of ChatGPT Plus and Team will have access to o1 models as of right now. The model selector allows you to manually choose between o1-preview and o1-mini. The weekly rate limits at launch will be 30 messages for o1-preview and 50 for o1-mini. The goal is to raise those rates and make ChatGPT capable of selecting the appropriate model on its own for each request.

Users of ChatGPT Edu and Enterprise will have access to both models starting next week.

With a rate limit of 20 RPM, developers that meet the requirements for API usage tier 5(opens in a new window) can begin prototyping with both models in the API right now. Following more testing, OpenAI aims to raise these restrictions. Currently, these models lack support for system messaging, streaming, function calling, and other capabilities in their API. Check out the API documentation to get started.

OpenAI also intends to provide all ChatGPT Free users with access to o1-mini.

Next up

These reasoning models are now available in ChatGPT and the API as an early release. To make them more helpful to everyone, it plans to add browsing, file and image uploading, and other capabilities in addition to model updates.

In addition to the new OpenAI o1 series, OpenAI also wants to keep creating and publishing models in its GPT series.

Read more on govindhtech.com

[blaze-papers]

OpenAI Unveils Advanced ChatGPT with Enhanced Math, Coding, and Science Abilities

OpenAI has released an upgraded version of its popular chatbot, ChatGPT, now equipped with advanced capabilities to handle complex tasks in fields like math, coding, and science. This new iteration is powered by OpenAI o1, a breakthrough AI technology designed to address common issues found in previous models, such as struggling with basic math or generating incomplete code.

The updated ChatGPT, introduced on Thursday, is engineered to "reason" more effectively than its predecessors. Unlike earlier versions that provided immediate responses, the new ChatGPT takes a more deliberate approach to problem-solving. "This model can take its time, think through the problem in English, and break it down to find the best solution," said Jakub Pachocki, OpenAI’s chief scientist.

During a live demonstration, Pachocki and OpenAI technical fellow Szymon Sidor showcased the bot solving an intricate acrostic puzzle, answering a Ph.D.-level chemistry question, and diagnosing a patient based on detailed medical information. These examples highlighted the chatbot’s enhanced reasoning skills and its potential for tackling more sophisticated tasks.

OpenAI o1 technology represents a broader trend in AI development, where companies like Google, Meta, and Microsoft are all pushing to create systems that can reason through problems step by step, mimicking human logic. Microsoft's partnership with OpenAI ensures this technology will soon be integrated into its products, offering a range of practical applications, from helping programmers write code to serving as automated math tutors.

This structured problem-solving ability could also be valuable in fields like physics, where complex mathematical formulas need to be generated, or healthcare, where researchers can use AI to assist in experiments.

Since ChatGPT’s initial release in 2022, it has revolutionized AI interactions by responding to user queries, writing essays, and generating code. However, earlier models were not without their shortcomings—occasionally producing mistakes, buggy code, or repeating misinformation found online.

To overcome these challenges, OpenAI has employed reinforcement learning in the new system. This process allows the AI to learn from trial and error, improving its accuracy by repeatedly working through problems and identifying successful strategies. However, the system remains imperfect and can still make errors. "It’s not going to be perfect," Sidor admitted, "but it’s more likely to provide the right answer by working harder."

The upgraded ChatGPT is now available to ChatGPT Plus and ChatGPT Teams subscribers, as well as developers and businesses seeking to incorporate the technology into their own applications.

In standardized testing, OpenAI reports that its new model outperforms previous versions. On the International Mathematical Olympiad (IMO) qualifying exam, the prior iteration of ChatGPT scored 13%, while OpenAI o1 achieved an impressive 83%. However, experts caution that standardized tests may not fully reflect real-world performance, especially when it comes to tasks like tutoring students.

"There’s a difference between problem-solving and assistance," said Angela Fan, a research scientist at Meta. "New models that reason can solve problems, but that doesn’t necessarily mean they can guide someone through their homework."

Despite its limitations, OpenAI’s latest version of ChatGPT marks a significant leap forward in AI, with the potential to tackle more intricate, real-world challenges across multiple industries.

[copernicusolympiad]

International Math Competition Results 2024: A Year of Exceptional Achievements

Introduction

The 2024 Copernicus Olympiad Math Winners

The 2024 Copernicus Olympiad math winners was a major highlight in the international math calendar. This competition, renowned for its rigorous problems and challenging questions, witnessed some of the brightest young minds showcasing their mathematical prowess.

This year’s winners have truly raised the bar. Top honors were secured by students from a range of countries, demonstrating a diverse and impressive array of mathematical talent. The gold medals were awarded to individuals who not only excelled in problem-solving but also displayed exceptional creativity in their approaches. The competition served as a platform for these young mathematicians to prove their skills on a global stage.

Among the standout performers, students from countries such as China, the United States, and Russia made significant impacts. Their innovative solutions and rigorous problem-solving techniques were particularly noteworthy, earning them accolades and recognition on an international level.

Global Math Competition Finalists 2024

The Global Math Competition, held in July 2024, also saw intense competition and remarkable performances. This event attracted participants from all over the world, eager to demonstrate their mathematical abilities and compete for top honors.

The finalists of the 2024 Global Math Competition represent the pinnacle of mathematical talent. These students navigated through a series of complex and challenging problems, showcasing not just their computational skills but also their ability to think critically and creatively.

Countries with strong traditions in mathematics, such as South Korea, India, and Germany, were well-represented among the finalists. The diversity of the finalists highlights the global nature of mathematical excellence and the universal appeal of mathematical problem-solving.

Olympiad Math Results Announcement

The announcement of the Olympiad math results is always a moment of high anticipation. This year was no exception, with students, educators, and math enthusiasts eagerly awaiting the results. The results reveal not only individual achievements but also broader trends in math education and problem-solving capabilities across different regions.

For many participants, the results serve as a recognition of their hard work and dedication. The process of preparing for these competitions often involves extensive study, practice, and perseverance. The announcement of the results is a culmination of this effort and a moment of celebration for both the winners and those who supported them.

Key Highlights from the Global Math Competition July 2024

The Global Math Competition held in July 2024 was a testament to the high level of mathematical talent present worldwide. Key highlights from this competition include:

Innovative Problem-Solving: Participants demonstrated remarkable ingenuity in tackling complex problems, often providing unique solutions that set new standards in mathematical thinking.

International Collaboration: The competition underscored the value of international collaboration and exchange of ideas, as students from different backgrounds came together to solve problems and share their approaches.

Emerging Trends: The results revealed emerging trends in mathematical problem-solving, with new methods and techniques gaining prominence. This reflects the evolving nature of mathematics and the continuous development of new strategies and approaches.

The Impact on Future Competitions

The results from the 2024 international math competitions are likely to have a lasting impact on future events. The high level of performance and the innovative solutions presented by this year’s participants set a new benchmark for excellence.

Conclusion

The international math competition results 2024 have highlighted a year of exceptional talent and achievement. The Copernicus Olympiad and the Global Math Competition, among others, have showcased the incredible mathematical abilities of young minds from around the world. The results not only celebrate individual accomplishments but also reflect the growing global community of mathematicians and the ongoing evolution of mathematical problem-solving.

As we look forward to future competitions, the achievements of 2024 will undoubtedly continue to inspire and elevate the field of mathematics. The dedication, creativity, and perseverance demonstrated by this year’s participants promise a bright future for global math competitions and the continued pursuit of mathematical excellence.

[cbsesamplepapersblog]

Find the perfect Maths Olympiad prep materials for Class 8 right here! Explore our range of Olympiad books, including workbooks with practice questions, solved past papers, and essential study guides.