🧮 Many people underestimate the importance of mathematics — and they really shouldn’t!

💪 It is not just important in our lives; it is essential.

👉 Besides developing our mind, logic, memory, and attention, mathematics also helps solve everyday problems.

🚗 Driving:

To travel from one city to another, you need basic math skills to calculate distance and travel time.

⚽️ Sports:

Mathematics plays an important role in athletes’ lives,

as every sport involves strategies and calculations.

✈️ Science:

Studying physics, linguistics, engineering, and many other fields requires mathematical functions. Without it, space exploration and the creation of computers — essential in areas from medicine to construction — would be impossible.

🥰 Here are some ways to improve your speaking skills even if you don’t have conversation partners.

📖 Reading:

Read books in English as often as possible, aloud and with expression! Start with easy books like children’s stories or detective stories. After reading a chapter, retell it aloud in your own words. This technique helps you organize your thoughts and loosen your tongue.

✏️ Notes:

Write down your thoughts in a notebook or app. Record what you would like to say — this helps you learn to form sentences. Write your thoughts as if you were saying them aloud, then reread and rephrase them more clearly.

🎙 Voice Messages:

In addition to notes, recording voice messages works great. Record short stories on different topics using various phrases and expressions. Then listen and re-record — with each new recording, your speech will improve.

🗣 Speak Aloud:

Talk to yourself about your day, the weather outside, or a movie you watched recently. It’s important to get used to hearing your own voice in a foreign language — this makes it easier to switch between languages.

📻 Listen to Podcasts:

English podcasts are excellent for training your listening skills. Listen, then repeat what you hear, keeping the intonation and using filler words. Over time, your speech will become more natural and fluent, and your brain will start recalling familiar words automatically.

🌏 IELTS vs TOEFL

👉 For those planning to study or live in an English-speaking country, it’s necessary to take one of the international English proficiency exams. The most popular are IELTS and TOEFL. Let’s look at their differences:

🇺🇸 Country

TOEFL tests American English proficiency. It is required for those who want to move to the USA or Canada.

IELTS tests British English proficiency. It is required if you plan to move to the UK, New Zealand, or Australia.

😎 Popularity

About 7,500 institutions in 130 countries accept the TOEFL certificate, while over 6,000 institutions in 135 countries accept IELTS.

🎲 Format

IELTS is divided into two categories: General IELTS — a test of general English, and Academic IELTS — a test of academic English.

TOEFL exists only in an academic format, which is why it is compared to Academic IELTS.

👉 Rules

TOEFL exam duration is 4 hours,

IELTS exam duration is 2 hours 45 minutes.

TOEFL tasks are mostly multiple choice, meaning you need to select the correct answer from several options.

IELTS includes various types of tasks: fill in the blanks, choose true/false statements, etc.

👍 Validity

The results of both exams are valid for 2 years. After this period, your exam record is removed from the database, and you must retake it.

😎 IELTS Section

🎓 This is arguably one of the most important exams in the lives of many students. Everyone hopes to achieve a high score, but not everyone succeeds.

🙅🏻‍♀️ Let’s look at some common mistakes students make in the Reading section.

📚 The Reading section does not simply test your ability to read. It evaluates your understanding of the text, your ability to identify the main idea, analyze information, and draw conclusions based on what you have read.

⌛️ You are given only 60 minutes to complete this section. During this time, you must read three long texts and answer 40 questions on the answer sheet. That is why time management is crucial.

🚫 Main mistake:

Trying to save time the wrong way.

Many students reread the text several times and spend too much time trying to understand every unfamiliar word. Don’t waste time on this — your main goal is to answer the questions correctly.

The questions themselves guide you on what to look for. It is often better to read the questions first and then scan the text step by step to find the answers. To understand the general meaning, it is not necessary to read every word in detail.

🤔 Another common challenge is unfamiliar vocabulary. IELTS texts often include academic language and are taken from scientific fields, research articles, journalism, or media sources, which can be difficult for many students.

🤓 To avoid confusion and stress, preparation is key.

Read more technical and academic texts in English. Choose articles from different fields and styles. For a while, consider reducing fiction reading and focus more on newspapers, magazines, and scientific articles. Expand your vocabulary — translate and memorize new words as you encounter them.

🤔 Do you think learning English takes too much time and effort?

😉 We’re ready to prove you wrong.

🙌 We’ve prepared a few useful tips that can significantly improve your English in just 30 minutes a day.

📚 Make English part of your daily routine. Integrate it into your life little by little, but consistently. For example, spend 30 minutes a day reading news in English, watching movies, or listening to podcasts.

📚 Use new words in your speech. Using English words in everyday conversations has become a trend — why not follow it? Learn a few new words every day and try to use them when speaking with friends or family. This will help you remember them much faster.

📚 Don’t be afraid of mistakes. Teachers say that mistakes show your weak points — and that’s a good thing. They help you understand what to work on and allow you to track your progress.

📚 Set a clear goal. Wanting to learn a language is not enough. You need a specific goal. Understand why you need English and what level you want to achieve.

🇬🇧 If you would like to improve your English level, we invite you to join the educational center “Fiveplus”.

👉 Mathematics is not only about equations and numbers — it is also about structures, order, and relationships.

👉 Mathematical thinking develops the ability to view the world critically and creatively. It encourages you to look deeper, search for truth, and understand the reasons behind different phenomena and concepts.

🌏 A mathematical mindset helps you realize that:

- Every problem has a solution.

- Breaking problems down into clear steps makes them easier to solve.

- Failures and mistakes are opportunities to grow, not reasons to give up.

👉 To develop creative thinking and logical reasoning, solving only standard geometry or arithmetic problems is not enough. Mathematical thinking requires continuous development.

👉 Solving logic tasks and puzzles, as well as mentally analyzing everyday situations from different perspectives, strengthens your logic and analytical skills.

👉 Make it a habit to train and develop your mathematical thinking every day.

🤪 Being lazy from time to time is completely normal — we all feel lazy sometimes.

🤓 But if laziness gets out of control and starts interfering with your studies, it’s time to do something about it.

👇 We’ve put together a few useful (and slightly mischievous) tips on how to be lazy productively and learn English without even getting out of bed:

👌 Watch and read foreign social media

When you scroll through TikTok, your brain might be asleep. But you can wake it up by watching American bloggers instead of Russian ones. Read international pages about your hobbies instead of local ones. Double benefit: you improve your English and discover trend sources firsthand.

👌 Keep a diary in English

You can write notes in your phone or even start a private Twitter account. Just jot down your thoughts in English, small tasks, or plans for the day. Look up new words in the dictionary, use them, and remember them.

👌 Search for tutorials in English

Want to make pancakes? Craft something for your home? Learn a new guitar chord? Don’t be lazy — find a recipe or tutorial in English. They’re often more interesting and higher quality, and your English will definitely improve.

👌 Listen to music

Even many Russian artists sing in English or include English words in their songs. Listen to what you enjoy, try to understand it by ear, read the lyrics, and translate them — it’s both fun and полезно.

👌 Join English language groups at the “Fiveplus” Learning Center

✍️ If you want to improve your level or start learning English from scratch, you’re welcome to join us — sign up now!

👉 Let’s talk about something serious…

Many students choose their future profession not because of their own желания or dreams, but because their parents choose it for them.

In such situations, parents often say they know better, that they have more experience, and that children should listen to their elders.

It’s a complicated issue. Sometimes a young person действительно may not be able to fully assess their abilities, talents, or future prospects. In that sense, parents try to protect them from possible mistakes.

However, quite often a student, under pressure, studies for a profession they don’t truly like. As a result, after graduating, they may end up with just a diploma and several years that feel wasted. In the worst case, they work in a job they dislike and feel unhappy because of it.

We don’t claim to know what is right or wrong — it’s a difficult question. We’re interested in your opinion.

Tell us, did you choose your profession yourself, or was the decision made for you?

🤩 TOP-5 useful formulas in geometry:

🟥 The area of a square equals the square of the length of its side.

❗️ The area of a rectangle equals the product of its adjacent sides.

🔴 The area of a circle equals the product of the square of the radius and the number.

🔺 The area of a right triangle equals half the product of its legs.

♦️ The area of a parallelogram equals the product of the height and the side to which the height is drawn.

In the modern world, self-organization is one of the key skills that can significantly improve your life. We understand that studying, work, and personal goals can be demanding, but there are ways to make the learning process more productive and efficient.

🎯 Goal: Define your end goal. A clear understanding of what you want to achieve helps you focus better on important tasks.

🗓️ Planning: Create a flexible schedule that includes study time, work, and rest. Make sure to allocate time for revision and self-development.

📚 Learning Methods: Choose learning methods that work best for you. You can use flashcards, notes, online courses, and other resources.

🔑 Prioritization: Identify the most important tasks and start with them. Gradually move on to less important ones.

💪 Self-motivation: Remember your goals and reward yourself for achievements. This will help you stay motivated.

💆 Time Management: Use time management techniques like the Pomodoro method to improve concentration.

🏆 Balance: Don’t forget to rest and take care of yourself. Regular breaks will help you cope better with studying.

Remember, the learning process is not only about gaining knowledge but also about developing self-organization skills. By maintaining balance and following these simple tips, you can significantly boost your productivity and achieve academic success!