#class 10 maths arithmetic progressions

[chhibrin]

How to Crack CDS in First Attempt – A Complete Guide by IFA Defence Academy

Cracking the Combined Defence Services (CDS) exam in the very first attempt is a dream for many young aspirants who want to serve the nation with pride and honor. The exam, conducted by the Union Public Service Commission (UPSC) twice a year, is highly competitive and demands a well-planned strategy, consistent effort, and the right guidance.

In this comprehensive blog post, we at IFA Defence Academy — a leading name for CDS coaching in Chandigarh — will walk you through a detailed roadmap to clear the CDS exam in your first attempt. Whether you're still in college or have just graduated, these tips will set you on the right track.

Understanding the CDS Exam Structure

Before diving into preparation strategies, it is crucial to understand the exam pattern:

For IMA, INA, and AFA:

English – 100 Marks

General Knowledge – 100 Marks

Elementary Mathematics – 100 Marks

For OTA (Officers’ Training Academy):

English – 100 Marks

General Knowledge – 100 Marks

All papers are objective type with a negative marking of 1/3rd for every wrong answer. Understanding this structure helps tailor your preparation accordingly.

Step 1: Make a Realistic Study Plan

Planning is the first step to success in any competitive exam.

Divide your syllabus: Break the topics into daily or weekly goals.

Set achievable targets: Don't overburden yourself. Instead, focus on consistency.

Mix subjects daily: Instead of studying one subject per day, study 2–3 subjects to avoid monotony.

At IFA Defence Academy, our faculty helps students create personalized study plans which is one of the reasons we're trusted for CDS coaching in Chandigarh.

Step 2: Strengthen the Basics

A common mistake many aspirants make is jumping directly to mock tests and shortcuts. Start by building strong conceptual clarity, especially in:

English Grammar & Vocabulary

Current Affairs & Static GK

Fundamentals of Arithmetic, Algebra, Trigonometry, and Geometry

Books like NCERTs (Classes 6 to 10 for Maths) and Lucent for GK are great to begin with. For English, Wren & Martin and newspaper editorials can be excellent resources.

Step 3: Practice Previous Year Papers

One of the most effective strategies is to analyze and solve previous year papers:

Understand question patterns and difficulty levels.

Identify frequently asked topics.

Practice time management during exam conditions.

IFA Defence Academy provides a repository of solved previous year papers as part of its comprehensive study package — an added advantage of enrolling in the best CDS coaching in Chandigarh.

Step 4: Take Regular Mock Tests

No preparation is complete without evaluating your progress. Enroll in a well-structured test series that mimics the actual exam.

Attempt at least one full-length test weekly.

Analyze your performance after every test.

Work on weak areas before the next test.

Mock tests improve speed, accuracy, and time management — key elements in clearing the CDS exam on your first try.

Step 5: Focus on Physical Fitness for SSB

Cracking the written exam is only half the battle. The SSB Interview is equally crucial and includes psychological tests, group discussions, physical tasks, and personal interviews.

IFA Defence Academy emphasizes complete training, including SSB interview preparation, group tasks, and personality development, making it a preferred choice for CDS coaching in Chandigarh.

Tips for physical readiness:

Jogging or running daily

Building upper body strength

Practicing group activities and leadership exercises

Step 6: Stay Updated with Current Affairs

The General Knowledge section can be a game-changer. To score well:

Read newspapers like The Hindu or Indian Express daily.

Watch news analysis on channels like Rajya Sabha TV.

Prepare monthly current affairs notes (or follow a reliable monthly magazine).

IFA Defence Academy provides daily and weekly GK capsules tailored specifically for CDS aspirants.

Step 7: Maintain a Positive Mindset

Staying confident and mentally strong is as important as academic preparation.

Avoid burnout — take regular breaks.

Stay motivated by reading biographies of defence personnel.

Surround yourself with like-minded aspirants.

At IFA Defence Academy, we believe that mentorship, peer interaction, and a disciplined environment are key to transforming potential into performance.

Why Choose IFA Defence Academy for CDS Coaching in Chandigarh?

Here’s why hundreds of students trust us every year:

Experienced Faculty: Retired defence officers and UPSC experts.

Updated Study Material: Designed as per the latest exam trends.

Personalized Mentorship: One-on-one guidance for each student.

Regular Doubt Sessions & Tests: To keep progress in check.

SSB Interview Preparation: Integrated into the coaching program.

If you're serious about your CDS journey, joining a reliable institute like IFA Defence Academy for CDS coaching in Chandigarh gives you a strategic edge.

Final Thoughts

Cracking the CDS exam in your first attempt is entirely possible if you have:

A clear strategy

Strong fundamentals

Dedicated practice

Right guidance

IFA Defence Academy is here to support you at every step of this journey. If you’re looking for the most trusted and results-driven CDS coaching in Chandigarh, your search ends with us.

Start early, stay focused, and success will follow.

Ready to start your journey toward a career in the Armed Forces?

Get in touch with IFA Defence Academy today — your first step toward wearing the uniform with pride.

[kavinderrawat]

Best Home Tutor in Dehradun for Class 1 to 12 – A Complete Guide!

Let’s face it—today’s school curriculum isn’t getting any easier. From CBSE board exams to Olympiads and entrance tests like NEET or JEE, students face academic pressure like never before. And while schools provide a foundation, the real concept clarity, revision support, and one-on-one mentorship often come from home tutoring.

That’s why finding the Best Home Tutor in Dehradun has become a top priority for parents. Whether your child is in Class 1 or Class 12, a professional tutor can fill learning gaps, build confidence, and guide them toward academic success.

What Makes a Home Tutor 'The Best'?

Not all tutors are created equal. A great home tutor doesn’t just explain concepts—they inspire learning. Here’s what to look for when choosing the Best Home Tutor in Dehradun:

Subject expertise and teaching credentials

Communication and explanation skills

Personalized teaching strategy

Flexible schedule that matches school timings

Ability to adapt to the student’s pace and style

Regular assessments and performance tracking

Class-Wise Breakdown: What Students Need at Each Stage

Class 1 to 5 – Building the Basics

Young learners need patience, creativity, and foundational teaching. The best home tutors for this age group:

Use storytelling and visual aids

Focus on reading, writing, arithmetic

Build attention span and classroom discipline

Provide gentle correction and praise

“A strong start now means fewer academic struggles later.”

Class 6 to 8 – Expanding the Learning Curve

Middle school students start exploring more subjects and concepts. This is the best time to build subject confidence:

English Grammar, Essay Writing

Basic Science (Biology, Physics, Chemistry)

History & Civics, Geography

Foundation courses for Math & Reasoning

At this level, having the Best Home Tutor in Dehradun ensures that students don’t fall behind as syllabi become more advanced.

Class 9 & 10 – Prepping for Board Exams

The transition from middle school to high school is steep. Students need:

Exam-oriented preparation for CBSE/ICSE/State Boards

In-depth practice of numericals, diagrams, definitions

Revision schedules & sample paper analysis

Doubt-solving sessions post school hours

A home tutor can break complex chapters into easy, digestible pieces—boosting both marks and morale.

Class 11 & 12 – Competitive & Career-Oriented Learning

Welcome to the big leagues! This is when every mark counts, especially if your child is preparing for:

JEE, NEET, CUET

Subject-specific boards (PCM, PCB, Commerce, Humanities)

Olympiads and scholarship exams

College admission aptitude tests

Only the Best Home Tutor in Dehradun can help students manage school, coaching, and stress without burnout.

Why Saraswati Tutorials Tops the List

When it comes to finding the Best Home Tutor in Dehradun, Saraswati Tutorials continues to lead. Here's why:

Experienced & Certified Tutors

All tutors undergo a strict screening process. They are either retired school teachers, university toppers, or subject matter experts with hands-on classroom experience.

Personalized Learning Plans

No two students are the same. Saraswati Tutorials builds custom plans tailored to learning pace, strengths, and board curriculum.

Affordable Home Tutoring Packages

Whether you're looking for daily tutoring, weekend-only sessions, or exam-crash courses, their pricing is transparent and parent-friendly.

Live Progress Tracking

Parents receive monthly progress reports, and regular parent-teacher check-ins ensure your child is on the right track.

Serving Every Major Area in Dehradun

Looking for a home tutor near your area? Saraswati Tutorials offers home tutors across:

Rajpur Road

Vasant Vihar

Prem Nagar

Clement Town

Dharampur

Ballupur

Dalanwala

Race Course

Nehru Colony

Whether you're in the city center or outskirts, the Best Home Tutor in Dehradun is just a call away.

Real Parent & Student Feedback

“Saraswati Tutorials assigned a tutor for my son in Class 7. He’s now in love with Science!” – Renu S., Vasant Vihar

“The tutors are punctual, disciplined, and very engaging. My daughter’s confidence in Math skyrocketed.” – Mr. Kapoor, Rajpur Road

“From Class 10 till JEE, the same tutor guided me through everything. Couldn’t have done it without them.” – Aayush M., Clement Town

FAQs About the Best Home Tutor in Dehradun

1. Do home tutors teach all subjects?

Yes, you can find subject-specific or multi-subject tutors based on your child’s needs. Some teach all subjects from Class 1–8, while specialized tutors focus on PCM, Commerce, etc.

2. Are Saraswati Tutorial tutors available for online sessions?

Yes! They offer both offline home tuition and live online tutoring.

3. How much does a home tutor cost in Dehradun?

Prices range from ₹2,000 to ₹8,000 per month, depending on class level, number of subjects, and tutor experience.

4. What if my child doesn’t connect with the tutor?

No problem! Saraswati Tutorials offers easy tutor replacement and demo classes until you find the perfect match.

5. Are weekend-only sessions available?

Yes, weekend batches and revision-only tutoring is available for working parents or busy students.

6. Can I monitor my child’s progress?

Absolutely! You’ll receive weekly feedback, monthly reports, and have access to teacher-parent meetings.

Final Thoughts – Give Your Child the Academic Edge

In a city full of academic competition, personalized home tuition isn’t just a luxury—it’s a necessity. Whether your child needs help with basic math in Class 2 or organic chemistry in Class 12, hiring the Best Home Tutor in Dehradun can be a game-changer.

And when you're ready to invest in your child’s future, Saraswati Tutorials is here with trusted, experienced, and result-driven home tutors across the city.

[vidyaassociates]

Private Tuition for CBSE Students: Unlocking Academic Excellence with Vidya and Associates

In today’s fast-paced academic environment, students often struggle to keep up with the competitive demands of school education. This challenge is even more intense for students following the Central Board of Secondary Education (CBSE) curriculum, known for its structured yet rigorous syllabus. At Vidya and Associates, we understand these challenges and offer tailored private tuition for CBSE students to help them achieve academic excellence with confidence.

Why Choose Private Tuition for CBSE Students?

The CBSE board emphasizes both conceptual clarity and the application of knowledge. While schools play an essential role in introducing students to new concepts, they may not always provide the one-on-one attention needed by every student. That’s where private tuition for CBSE students becomes crucial.

Private tuition allows for personalized learning, enabling students to understand difficult topics at their own pace. Our tutors offer guidance that’s aligned with the CBSE syllabus and adapt teaching methods to suit the learning style of each student. This personalized approach bridges learning gaps and boosts students' confidence, leading to better performance in exams.

Key Benefits of Private Tuition for CBSE Students at Vidya and Associates

1. Personalized Learning Plans

Every student learns differently. Our expert tutors design customized lesson plans that address the individual strengths and weaknesses of each child. This personalized method ensures that no topic is rushed, and students are given enough time to fully understand each subject.

2. Experienced CBSE Tutors

Vidya and Associates takes pride in having a team of highly qualified and experienced tutors. Each tutor is thoroughly vetted and trained to handle the CBSE curriculum with precision. Whether your child needs help in Math, Science, English, or Social Studies, we have the right mentor ready to guide them.

3. Flexible Scheduling

We understand that CBSE students are often burdened with tight school schedules, assignments, and extracurricular activities. That’s why we offer flexible tuition timings, including evening and weekend classes, to ensure that learning does not interfere with other commitments.

4. Regular Assessments and Feedback

At Vidya and Associates, we believe in consistent improvement. Our tutors conduct regular assessments to track a student’s progress. Parents are kept in the loop with periodic feedback reports that outline their child’s academic growth and areas that need improvement.

5. Online and Offline Support

We offer both home tutoring in the Delhi NCR region and online tutoring across India and abroad. Our online platform is user-friendly and interactive, ensuring that even remote students can access the best private tuition for CBSE students from the comfort of their homes.

Subjects We Cover Under Private Tuition for CBSE Students

Our tuition services span across all major subjects included in the CBSE curriculum:

Mathematics: From basic arithmetic to advanced algebra and geometry.

Science: Covering Physics, Chemistry, and Biology with practical examples.

English: Grammar, comprehension, literature, and writing skills.

Social Studies: History, Geography, Civics, and Economics.

Hindi and Other Languages: Focused sessions on grammar, reading, and writing.

Whether your child is in primary school or preparing for their Class 10 and 12 board exams, our services are tailored to meet every academic requirement.

How Vidya and Associates Stands Out

A Decade of Trust

Established in 2013, Vidya and Associates has empowered over 50,000 students with personalized educational support. Our commitment to quality tutoring and student-centric approach has made us a trusted name in education across India and abroad.

A Robust Network of Tutors

We have built a strong network of over 500 qualified tutors from reputed institutions across India. These educators are not just teachers, but mentors dedicated to nurturing every child’s full potential.

Career Counseling Included

Our services go beyond just tutoring. We also provide career counseling tailored to each student’s strengths, interests, and aspirations. This holistic approach helps students not only score well academically but also choose the right career path.

Support for Parents

We involve parents in the learning journey through regular updates and progress tracking. Our team is always available to address any concerns and ensure transparency in our services.

The Future of CBSE Students with Vidya and Associates

With the right guidance and consistent effort, every student can excel. At Vidya and Associates, we believe that personalized education is the key to unlocking a student’s true potential. Our private tuition for CBSE students is designed to make learning a joyful and rewarding experience.

By choosing us, parents can rest assured that their child is receiving focused attention, expert instruction, and a nurturing environment. Our tutors act not just as subject experts but as mentors who inspire, motivate, and guide students toward success.

Conclusion

In a competitive academic world, giving your child the edge of private tuition for CBSE students can make all the difference. With Vidya and Associates, you gain access to a team of dedicated professionals who are passionate about education and committed to your child’s success.

Whether your goal is to build strong fundamentals, improve academic performance, or prepare for board exams, our customized tuition programs have got you covered. Join the thousands of parents who have trusted us over the years. Experience the power of personalized learning with Vidya and Associates today.

Empower your child with expert-led private tuition for CBSE students — only at Vidya and Associates.

[geniustut]

The Integrated Program in Management Aptitude Test (IPMAT) is a highly competitive exam conducted by IIM Indore and IIM Rohtak for admission to their five-year Integrated Program in Management (IPM). Cracking the IPMAT requires dedication, strategic planning, and expert guidance.

If you are aiming for success, this 6-month study plan will help you prepare effectively. Whether you prefer IPMAT coaching online in Delhi or offline IPMAT classes near you in Delhi, following a structured approach will increase your chances of scoring high.

Understanding the IPMAT Exam

Before starting your preparation, it’s crucial to understand the exam pattern and syllabus.

IPMAT Exam Structure

The IPMAT exam consists of two sections:

Quantitative Ability (QA) — Includes questions from Arithmetic, Algebra, Geometry, Data Interpretation, and Logical Reasoning.

Verbal Ability (VA) — Tests your Reading Comprehension, Grammar, Vocabulary, and Sentence Correction skills.

IIM Indore includes Short-Answer Questions (SAQs) in QA, while IIM Rohtak focuses on Multiple-Choice Questions (MCQs).

6-Month Study Plan to Ace IPMAT

A well-structured study plan ensures you cover all topics systematically. Here’s a month-wise breakdown of your preparation.

Months 1–2: Build a Strong Foundation

Understand the syllabus — Go through the complete syllabus and exam pattern. Master the basics — Focus on Arithmetic, Algebra, and Grammar. Improve vocabulary — Learn 10 new words daily and practice their usage. Join a structured coaching program — Consider enrolling in the best coaching for IPMAT in Delhi or an IPMAT online course for expert guidance.

Recommended Study Hours: 3–4 hours daily

Months 3–4: Practice & Speed Enhancement

Attempt topic-wise tests — Start solving sectional mock tests for QA and VA. Improve calculation speed — Practice mental math and shortcut techniques. Strengthen reading skills — Read newspapers, articles, and editorials daily. Enroll in IPMAT online coaching — If you prefer flexible learning, consider IPMAT coaching online for expert-led classes.

Recommended Study Hours: 4–5 hours daily

Months 5–6: Mock Tests & Final Preparation

Solve full-length mock tests — Take at least 2–3 full-length tests per week. Analyze performance — Review mistakes and focus on weak areas. Work on time management — Practice solving questions within time limits. Revise key concepts — Go through formula sheets, grammar rules, and vocabulary lists.

Recommended Study Hours: 5–6 hours daily

Why Join Genius Tutorials IPMAT Coaching for Better Results?

Many students struggle with self-study due to lack of structured guidance. Enrolling in a Genius tutorials IPMAT preparation coaching in Delhi program offers expert mentorship, doubt-solving sessions, and practice materials.

Top Benefits of IPMAT Coaching:

Expert Guidance — Learn from experienced mentors who understand IPMAT strategies. Regular Mock Tests — Evaluate your progress and improve weak areas. Concept Clarity — Get detailed explanations for difficult topics. Personalized Study Plans — Tailored strategies for different learning speeds.

If you are looking for IPMAT coaching near you in Delhi, Genius Tutorials offers comprehensive courses to help you succeed.

Best Online Coaching for IPMAT — Study from Anywhere!

For students who prefer flexible learning, IPMAT online coaching is a great option. Online courses provide:

Live interactive classes — Learn from experts in real-time. Recorded sessions — Revisit lessons anytime for revision. Doubt-solving forums — Get answers to queries instantly. Structured study plans — Follow a step-by-step curriculum.

Genius Tutorials offers the best online coaching for IPMAT, helping students prepare from home with top-notch study materials and expert guidance.

Final Tips to Crack the IPMAT Exam

Stay consistent — Follow the study plan without skipping topics. Manage time wisely — Divide study hours between QA and VA equally. Stay updated — Read newspapers and articles daily for verbal ability improvement. Take care of health — Eat well, exercise, and get enough sleep for better focus.

By following this 6-month strategy, you can boost your confidence and maximize your chances of securing a seat at IIM Indore or IIM Rohtak.

Looking for the best coaching for IPMAT in Delhi? Join Genius Tutorials, Delhi, today! Enroll Now & Start Your IPMAT Journey!

Originally published at https://www.geniustut.com on February 21, 2025.

[speedywonderlandtrash]

Class 9 Math Annual Exam with Model 3

Class 9 Math Annual Exam with Model 3

  Class 9 math exam preparation guide,last minute math exam tips for Class 9,Class 9 math practice questions and solutions,model 3 math prep for Class 9 exam,effective study techniques for Class 9 math exam Math Time: 3                              Hours Class: 9                     Total Marks: 100 Section A: Objective (25 Marks) Multiple Choice Questions: (Write the correct answer on the answer sheet) 1 × 15 = 15 1. a, ar, ar², ar³ is which type of sequence? (a) Geometric (b) Arithmetic (c) Infinite (d) Constant 2. If 7x + 2, 5x + 12, 2x - 1 form an arithmetic progression, what is the value of x? (a) -23 (b) 23 (c) ±23 (d) 21 3. What is the 15th term of the sequence 4 + 8 + 16 + ........? (a) 65536 (b) 131072 (c) 146384 (d) 32768 4. logb n , what is the argument? (a) k (b) n (c) b (d) log 5. What is the base of lnx? (a) e (b) 10 (c) x (d) y 6. What is logbAx? (a) x (b) A (c) b (d) xlogbA 7. If the sum and difference of the digits of a two-digit number are 10 and 4 respectively, what is the number? (a) 47 (b) 27 (c) 37 (d) 57 8. Which point is on the x-axis? (a) (2, 0) (b) (-3, 5) (c) (0, 3) (d) (-2, -2) 9. For θ = 45° - i. sin2 θ + tan2 θ = ii. sin2 θ + cos2 θ = iii. 1 - sin2 θ = Which of the following is correct? (a) i and ii (b) i and iii (c) ii and iii (d) i, ii, and iii 10. Based on the following information, answer questions 10 and 11: In right-angled triangle ABC, ∠C = β, ∠B = α, AB = 7, BC = 25 cm, and AC = 24 cm. What is the length of the side opposite to angle β? (a) 7

(b) 24 (c) 25 (d) 6 11. For which of the following angles is the length of the adjacent side 24 cm? (a) α (b) β (c) α + β (d) α - β 12. In the first quadrant, how are all trigonometric ratios? (a) Positive (b) Negative (c) 0 (d) Even 13. What is cos 150°? (a) (b) (c) - (d) - 14. How many types of data are there? (a) 2 (b) 3 (c) 4 (d) 5 Class 9 Math Annual Exam with Model 2 15. If ∑fi|xi - Mo| = 216.92 and n = 20, what is the mean deviation calculated from the median? (a) 8×85 (approximately) (b) 10×85 (approximately) (c) 9×85 (approximately) (d) 7×85 (approximately) 16. Write the condition for a, b, c to be in a geometric progression. 17. What is the sum of the first n natural numbers? 18. What is log₂ 16? 19. Write the formula for logb () 20. What is the discriminant of the equation ax² + bx + c = 0? 21. What is the meaning of the word 'Metron'? 22. In the second quadrant, what is the sign of cos θ? 23. What is cot(90° - θ)? 24. What is the range typically represented by? 25. What is the relationship between the mean deviation M.D and the range R for two unequal data sets? 1. Answer the following questions: 2 × 13 = 26 (a) If the third term and fifth term of an arithmetic progression are -12 and 26, respectively, find the first term and common difference. (b) For the series 2 + 4 + 6 + 8 + ..., if the sum of the first n terms is 2550, find the value of n. (c) Find the general term of the arithmetic progression 5, 12, 19, 26, ... (d) If log₅ x = 3, what is the value of x? (e) At a 10% compound interest rate, in how many years will the principal triple? (f) Solve the system of equations using substitution method: 2x + 3y = 32 11y - 9x = 3 (g) Solve the equation 3x² - 2x - 1 = 0 using the quadratic formula. (h) If 12 cot θ = 7, find the value of cos θ. (i) From a point 15 meters away from the base of a tower, the angle of elevation to the top of the tower is 30°. Find the height of the tower. (j) Convert radians to degrees. (k) For the angle θ = ∠XOP in standard position, find the trigonometric ratios for the point A(-4, -3) on the terminal arm. (l) Find the range of the data set: 7, 5, 12, -5, 0, 10. (m) Find the cumulative frequency distribution for the given data: x 60 61 62 63 64 65 66 67 f 2 0 15 30 25 12 11 5 Answer the following descriptive questions (based on the visual context):                                       7 × 7 = 49 2. Consider the following two geometric progressions: (i) x + 1, x + 5, x + 10, ....... (ii) 2 - 4 + 8 - 16 + .... (a) Find the value of x in the first geometric progression x + 1, x + 5, x + 10, ....... (3 marks) (b) Which term of the second geometric progression 2 - 4 + 8 - 16 + ..... is equal to 256? (4 marks) 3. In Arup's school hall, there are 30 rows of benches. The first, second, and third rows have seats in the following quantities: (k + 12), (3k + 10), and (7k + 4) respectively. (a) Find the value of k if the number of seats forms an arithmetic progression. (2 marks) (b) How many seats are there in the last row? (2 marks) (c) Find the total number of seats in the hall. (3 marks) 4. Given that: A = B = , and C = (a) If A = 128, find the value of p. (3 marks) (b) Prove that B ÷ C = . (4 marks) 5. An earthquake is felt in two locations in Bangladesh, Sylhet and Chittagong, on the same day. The magnitude of the earthquake in Sylhet is 6.5, and the earthquake in Chittagong is 17 times stronger. The magnitude of the earthquake in India, which is located near Bangladesh, is 7.1. (a) Find the magnitude of the earthquake in Chittagong. (3 marks) (b) Compare the intensity of the earthquakes in Sylhet and India, and determine which place has a higher risk. (4 marks) 6. Setu's mother bought 25 ducklings and 30 chicks for 5000 taka. If she had bought 20 ducklings and 40 chicks at the same rate, she would have spent 500 taka less. (a) What is the cost of one duckling and one chick? (4 marks) (b) After some time, if each duck is sold for 250 taka and each chicken for 160 taka, what will be her total profit? (3 marks) 7. Samiya bought 4 pens and 2 notebooks for 100 taka from a shop. Lamiya bought 2 pens and 3 notebooks for 110 taka from the same shop at the same price. (a) Form the system of equations from the given information and determine its nature. (3 marks) (b) Find the price of each notebook and pen. (4 marks) 8. Roni and Tahmid were walking along the riverbank when they saw the top of a 100-meter tall tree on the opposite bank. The angle of elevation to the top of the tree from their position was 60°. Later, Tahmid moved back a little and saw that the angle of elevation from his new position was 45°. (a) Calculate the distance from Roni and Tahmid to the opposite bank of the river. (3 marks) (b) How much further back did Tahmid move from Roni? (4 marks) 9. A car travels from Dhaka to Khulna. The rear wheel of the car rotates 12 times per second, and the radius of the wheel is 0.5 meters. The distance from Dhaka to Khulna subtends an angle of 2° at the center of the Earth. (a) How far will the car travel in one full rotation of the wheel? (2 marks) (b) Calculate the speed of the car. (2 marks) (c) How long will it take the car to reach Khulna from Dhaka? (3 marks) 10. The frequency distribution table for the mathematics marks of 125 students of Class 9 is given below: Marks Obtained 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 Number of Students 10 17 30 40 20 8 (a) What is the average mark of the students in Class 9 in mathematics? (3 marks) (b) Using the assumed mean method or direct method, calculate the deviation from the mean. (4 marks) 11. The following is the frequency distribution table for the number of absences of 40 students in a class last month: Absence Days 1 - 4 5 - 8 9 - 12 13 - 16 17 - 20 Number of Students 5 11 7 2 1 (a) What is the range of the first 12 prime numbers? (2 marks) (b) How many students attended the class every day last month? (2 marks) (c) Calculate the range from the frequency distribution table. (3 marks) Read the full article

[mathswithnarendrasir]

Arithmetic Progression #arithmeticprogression #ap #maths #mathswithnarendrasir

[dhanalakshmicbse]

Selina Concise Mathematics Class 10 ICSE Solutions Arithmetic Progression - A Plus Topper

[sipabacusclasses]

How to Perform Mental Math with a SIP Abacus

 In today’s fast-paced world, strong mental math skills are more important than ever. One effective way to develop these skills is through abacus training. SIP Abacus offers a structured program that not only enhances arithmetic abilities but also fosters overall cognitive development.

🧠 What Is SIP Abacus?

SIP Abacus is an educational program that uses the ancient tool of the abacus to teach children mental arithmetic. The program is designed for children aged 6 to 12 years and is divided into various modules:

Junior Module: For children aged 6–8 years, focusing on building a strong foundation in math.

Foundation Module: For children aged 7–12 years, introducing basic arithmetic operations.

Advanced and Grand Master Modules: For children who have mastered the basics and are ready for complex calculations.

Each module builds upon the previous one, ensuring a progressive learning experience. 

🔢 How Does SIP Abacus Enhance Mental Math?

SIP Abacus employs a multi-faceted approach to develop mental math skills:

Visualization Techniques: Children learn to visualize the abacus, allowing them to perform calculations mentally without the physical tool.

Brain Gym Exercises: Activities that enhance concentration, memory, and cognitive abilities.

Speed Writing: Improves writing speed and number formation, aiding in faster calculations.

Regular Practice: Daily 10-minute practice sessions and weekly 2-hour classes reinforce learning and build proficiency.

This holistic approach not only improves arithmetic skills but also boosts confidence and reduces math anxiety.

📍 SIP Abacus Classes in North Shore

For residents of North Shore, SIP Abacus offers classes at their Hillcrest location. The center provides a conducive learning environment with small class sizes, ensuring personalized attention for each student. The curriculum is tailored to meet the needs of children at various learning levels, ensuring that each child receives appropriate instruction. 

💻 Math Classes Online

In addition to in-person classes, SIP Abacus offers online math classes. These classes provide flexibility for students who may not be able to attend physical sessions. The online platform is interactive and engaging, ensuring that students receive the same quality education as they would in a traditional classroom setting.

✅ Benefits of SIP Abacus Training

Enrolling your child in SIP Abacus can lead to numerous benefits:

Enhanced Mental Math Skills: Ability to perform complex calculations quickly and accurately.

Improved Concentration and Memory: Exercises that boost cognitive abilities.

Increased Confidence: Mastery of math concepts leads to a positive attitude towards learning.

Holistic Development: Integration of brain exercises and visualization techniques promotes overall cognitive growth.

📝 Tips for Maximizing Learning with SIP Abacus

To ensure your child gets the most out of their SIP Abacus experience:

Consistency is Key: Regular attendance and practice sessions are crucial for progress.

Celebrate Milestones: Recognize and celebrate your child’s achievements to keep them motivated.

Parental Involvement: Stay actively involved in your child’s learning journey.

Encourage Independent Thinking: Foster problem-solving skills by encouraging your child to think critically.

Provide a Supportive Environment: Create a positive and supportive learning environment at home.

[kavinderrawat]

Searching for the Best Home Tuition Near Me? Here’s Why Saraswati Tutorials Is the Answer!

If you've ever found yourself typing “Best Home Tuition near me” into a search bar at midnight — frustrated, concerned, and determined to find help for your child — you're not alone. Every parent wants what’s best for their child, especially when it comes to education. And sometimes, the classroom just isn’t enough.

Whether it’s low grades, a lack of confidence, or just the need for a bit more clarity, home tuition is often the difference between academic stress and success. And in a city like Dehradun, Saraswati Tutorials is rapidly becoming the go-to choice for parents seeking personalized, effective, and results-driven home tuition.

Why “Best Home Tuition Near Me” Matters More Than You Think

Let’s face it — not every child thrives in a noisy, crowded classroom. Some children need personal attention, a flexible pace, and a teaching style that matches their learning needs. That’s where home tuition becomes a game-changer.

When you search for the Best Home Tuition near me, you’re not just looking for convenience. You’re looking for:

Customized lesson plans

One-on-one attention

A safe and supportive learning environment

Better understanding and retention

Higher performance in school

And all of this becomes even more impactful when it comes from a trusted source like Saraswati Tutorials.

Introducing Saraswati Tutorials – Dehradun’s Most Trusted Home Tuition Service

Saraswati Tutorials isn’t just another tutoring agency. It’s a team of passionate educators, subject matter experts, and experienced mentors who understand what today’s students truly need.

Whether your child is in Class 1 or Class 12, preparing for board exams, or aiming for competitive entrances, Saraswati Tutorials offers high-quality, personalized home tuition right at your doorstep.

What sets them apart?

Expert tutors with proven track records

Customized learning schedules that fit your routine

Coverage of all boards – CBSE, ICSE, and State Board

Affordable plans with flexible timing

Progress tracking and regular feedback to parents

Who Can Benefit from Saraswati Tutorials?

If you’re wondering whether home tuition is right for your child, here’s who it helps the most:

Early Learners (Classes 1-5)

Foundation-level subjects like math, reading, and language need extra focus at this stage. Home tuition ensures your child builds strong basics that last a lifetime.

Middle & High School Students (Classes 6-10)

As subjects get complex, many students begin to struggle. Home tuition fills those gaps and boosts confidence and academic performance.

Board Exam Takers (Classes 10 & 12)

Time-bound preparation, mock tests, and concept clarity are crucial at this level. A personal tutor helps manage stress and syllabus alike.

Competitive Exam Aspirants

From NDA to NEET to CUET, expert tutors at Saraswati Tutorials offer targeted strategies and syllabus-specific coaching.

Subjects Offered at Saraswati Tutorials

When you search for the Best Home Tuition near me, you need a tutor that covers the right subjects — and more importantly, teaches them well.

Saraswati Tutorials offers complete subject coverage:

Science – Physics, Chemistry, Biology

Maths – Arithmetic, Algebra, Geometry, Calculus

English & Hindi – Grammar, Literature, Writing Skills

Social Studies – History, Civics, Geography

Commerce Stream – Accountancy, Economics, Business Studies

Computer Science – Programming, Logic Building

Competitive Exams – NDA, CDS, CUET, NEET, and more

Each tutor is chosen not just for subject knowledge but also for their ability to explain complex concepts simply and effectively.

Why Saraswati Tutorials Is the Right Choice

Searching for home tuition might seem easy — but choosing the right one? That’s where most parents struggle.

Here’s why Saraswati Tutorials keeps topping every parent’s list:

Verified & Experienced Tutors: Every tutor undergoes a background check and subject-level screening.

Free Demo Class: Try before you commit — and make sure the tutor is a good fit.

Home-Based Convenience: No traffic, no travel. Learning happens at your child’s pace and comfort.

Regular Reports: Stay informed about your child’s academic progress.

Affordable Pricing: Quality doesn’t have to come with a heavy price tag.

How to Get Started with Saraswati Tutorials

Don’t let distance or indecision come between your child and their academic goals. Getting started is simple:

Call or WhatsApp Saraswati Tutorials with your child’s grade and subject needs

Get tutor recommendations based on expertise and availability

Schedule a free demo session at your home

Start regular classes with a tutor your child is comfortable with

Track progress through monthly reviews and performance updates

Final Thoughts: The Right Tutor Can Change Everything

The right home tutor doesn’t just improve grades. They build confidence, inspire curiosity, and encourage a love for learning. So if you're still searching for the Best Home Tuition near me, you don’t need to look any further.

Saraswati Tutorials delivers quality, consistency, and care — straight to your doorstep.

Because when it comes to your child’s future, only the best will do.

Call Saraswati Tutorials today — and unlock your child’s full potential.

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We provide an expanding number of high-quality video lectures and study material for Full syllabus of Class 10 Maths.

Real Numbers Polynomials Pair of Linear Equations in Two Variables Quadratic Equations Arithmetic Progression Triangles Coordinate Geometry Introduction to Trigonometry Applications of Trigonometry Circles Constructions Area related to Circles Surface Areas and Volumes Statistics Probability

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Introduction of an Arithmetic Progression class 10

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NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.3 NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.3 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Exercise 5.3

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Class 10 Maths Chapter 5 Arithmetic Progressions in Two Variables IMP Qu...