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Applications of LCM and HCF

Real-life applications of LCM and HCF. What is LCM, and how it is used in real-life situations? What is HCF, and how it is used in real-life situations?

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What is LCM, and how it is used in real-life situations

The topic of LCM and HCF holds tremendous significance in mathematics. HCF and LCM are the basic building blocks in various math topics. The fundamental knowledge of this topic helps students to learn complex problems and issues quickly. Students need to understand the applications of these concepts to understand their relevance and usage in their life. Cuemath enables kids to learn various math concepts along with their real-life applications with ease.

HCF and LCM play an essential role in number theory and various other topics like prime factorization, permutation, combinations, etc. These topics require absolute numerical rigour and can be easier to understand if the fundamentals are clear.

1. What is LCM, and how it is used in real-life situations:

LCM (Least common multiple) is the least number which is exactly divisible by each one of the given numbers. It is used to solve problems related to racetracks, traffic lights, predict when an event occurs again over the same period, etc. Here are some ways the concept of LCM is applied in our everyday life:

Repetitive tasks and events: The traffic controllers have to set the timings of traffic lights so that all lights are not green simultaneously, especially in busy day timings. As this may create problems and they have to be set for a few minutes only. A traffic controller takes the timings of nearby places in the same area and calculates the LCM of all traffic stops to set the timing for each signal. This way, he can easily manage the traffic by setting alerts at different times or by increasing/decreasing the duration of each movement.

Solving Fractions: The basic concept of LCM helps in arithmetic for solving fractions. We have to bring both of them to the same denominator to solve infractions with different denominators. This requires first bringing them to have a common denominator by using LCM.

Think out when something will happen again at the same time. It is used to figure out something that will happen again at the same time. For example, it is helpful to send rockets and space shuttles to planets when they’re the nearest to earth.

Encryption: LCM of substantial prime numbers is also helpful in RSA encryption techniques to securely send the information over internet connections.

Many more real-life and mathematical, and real-life examples apply the concept of LCM.

What is HCF, and how it is used in real-life situations

2. What is HCF, and how it is used in real-life situations:

HCF (Highest Common Factor) is the most significant number that can divide the given numbers without any remainder. It is used to split things into smaller sections, arrange something into rows or groups, distribute more numbers of items too large groups, figure out how many people we have to invite, and so on when we want to split things into smaller sections.

Practical Estimation: When you plan for a party and want to ensure that nothing gets wasted or you need a proper estimation, you can use the concept of HCF to figure out the same.

Equally, distribute things: HCF is a required method to spread things equally among a group or set. Let’s consider the example of distributing 20 chocolates and 40 sweets amongst ten children, so here we will give each child two chocolates and four sweets.

Optimization of resource: You can use HCF to estimate the minimum number of square towels that can cut from a ream of cloth of a certain length and width without wasting any fabric.

Arrange something in rows and groups: To solve space issues, efficiently stock two or more quantities of different dimensions; you can use HCF of the amounts to decide and implement.

Learning the concept of LCM and HCF comes quite handy while pursuing higher studies in Mathematics and other related fields. Having a conceptual understanding of these techniques can be pretty beneficial in planning, estimating and dividing things.

Learning the real-life applications of these concepts enhances problem-solving and critical thinking in kids. Cuemath enables kids to grasp various math concepts and their real-world application with ease. It provides multiple learning resources and interactive activities to aid visualized learning and problem-solving mindset in kids.

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Education

How to Make an 11 Plus Preparation Plan That Works

But how does one make a preparation plan that works? Here’s a short guide on how your kids can reach their full potential to ace the 11 plus exams:

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How to Make an 11 Plus Preparation Plan That Works

Getting into a grammar school in London or any major city in the United Kingdom is every child’s dream. It is also the goal of most parents to experience premium education without overspending on tuition.

Studying in the UK can come at steep costs. While the prices soar, the quality of education remains top-notch and unrivalled. This is why many parents dream of sending their kids to grammar schools. Studying in these top-tier schools is free. Moreover, there is a greater chance of getting into a university if one has attended a grammar school.

To successfully secure a place in a grammar school, pupils must take the eleven plus exams. These tests are challenging, and preparing for one is an arduous process. In addition, it demands the investment of time, patience, innovation, and rigour into the preparation.

But how does one make a preparation plan that works? Here’s a short guide on how your kids can reach their full potential to ace the 11 plus exams:

1. Integrate Technology Into the Plan

The grammar school exam might be one of the most challenging tests your child will take. With that in mind, you must adapt to innovative and new solutions that break from the conventions of traditional learning.

Technology is here to stay, and all you have to do is leverage it. You can subscribe to services that offer tutor-led regular courses and 11 plus related services like KidSmart.

2. Find a Seasoned Virtual Tutor

Virtual tutors offer the best level of convenience to both the parent and child. KidSmart and other EdTech companies also have a team of professionals that you can book to teach your child. At a reasonable rate, you can enjoy a flexible schedule while your child learns from the best.

Microsoft 70-778 Exam Tests

3. Venture Into Gamified Learning

The 11 plus exam paper consists of questions that will challenge how well your child can retain information. One of the best ways to trigger stored knowledge is to associate it with games. The mental stimulation and experience brought by the games can help improve memory, recall, and recognition.

4. Aim for a Strong Vocabulary

The vocabulary section of the 11 plus exams is one of the most challenging parts to complete. You can look at practice verbal reasoning tests to improve vocabulary. There are also plenty of vocabulary-building games your child can try.

5. Use 11 Plus Past Papers

There are many 11 plus free practice papers you can download to simulate a real test experience for your child. Many websites also provide these papers, which you can download if you’re a member of their subscription plan. Companies like KidSmart offer past papers to help your child become familiar with the test structure.

6. Evaluate and Repeat

After the planning stage, evaluate if there are sections that you need to change. This will help maximize the preparation process for both you and your child. Repeat the cycle until you find what’s best.

An 11 plus preparation plan will work if you’re willing to make an effort and time. Make assured that your child passes the 11 plus exams with a preparation plan that works!

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