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10 Easy Steps to Learn Mathematics- Students’ Problems and their Easy Solutions – Study Tips

mathematics learning tips rajeev ranjan

What are the steps to learn advance mathematics?

Hey Friend

Do you really want to learn mathematics? Mathematics is very interesting subject… the more you practice the more you start loving math————

  1. Learn all the mathematical formulas as prescribed in your syllabus
  2. Learn all the mathematical theorem as prescribed in your syllabus
  3. Always practice mathematical problems on notebook
  4. Always take help from peer to clear your doubts
  5. Always take help from your teacher to clear your doubts
  6. Always try to do practice of mathematical problems
  7. Avoid watching too much solutions on Youtube -start solving problems on paper
  8. Do mathematical problems daily, regularly and frequently —-moreover consistently
  9. Remember it is easy to write suggestion but it is hard to implement — the day a person implement it —s/he becomes an expert———-
  • If you really follow it — you will be master of mathematics —- Believe in yourself— believe in your hard work — believe in your dream — YOU CAN
10 Easy Steps to Learn Mathematics- Students' Problems and their Easy Solutions - Study Tips
10 Easy Steps to Learn Mathematics- Students’ Problems and their Easy Solutions – Study Tips

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7 Reasons for Getting Low Marks in Science Subject in Board Exam-School Students’ Problems and their Easy Solutions

study tips- rajeev ranjan classroom tips

How do I cope up with the failure of getting low marks in class 12 science?

Have you noticed in your life — the reason for your failure — truly speaking — every one in this world is unique individual —- a little bit smart — a little bit confused — a little bit confidence – a little bit lack of confidence — no one is perfect, however everyone needs to work hard to reach the highest points of feeling of excellence ————we know our problem and we know our solution too—- but we do not want to work on it — the day a person starts working on his weakness and strength — the moment that person becomes unique personality —

Believe me we can do well in science too — no subject is too tough to learn- we can learn— we fail because we do not work very hard in that subject—- the reason can be thousands— lack of interest in that subject— lack of hard work – lack of practice —- lack of will power to do self study to make a particular uninteresting subject into an interesting subject— SELF STUDY— is the best medicine to overcome How do I cope up with the failure of getting low marks in class 12 science?

My questions are —

  1. how many times we study a particular chapter/ a particular subject/ a particular topic
  2. how can we say — i could not understand a concept/ a chapter without our struggle to learn
  3. how many times we learn something new/something complex without doing effort of learning
  4. how many times we tried to learn and did not learn
  5. how many times we examine our reason of failure although we worked hard
  6. how many times we examine our reason for lack of understanding
  7. how many times we examined our preparation, planning and execution  for better result
  8. how many times we worked on feedback/advice given by teachers/parents/peers

We can learn science if we really wish to learn — otherwise it is just like beating a spoiled drum without knowing its bad condition – we can do it — just need to do work hard..

School Education

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Which subject has great scope for students-School Students’ Problems and their Easy Solutions

study tips rajeev ranjan

Which subject has a great scope in academic learning?

21st century witnessed a great change in all walks of life. Now , we have a number of opportunities in almost all fields. Subject has great impact, however i firmly believe that Individual can make the biggest difference, no matter what subject, which stream————-the most important questions are

  1. Do we have self confidence
  2. Are we ready to move further
  3. Are we ready to work hard
  4. Are we ready to practice more
  5. Are we ready to do intensive self study
  6. Are we ready to plan properly
  7. Are we ready to enhance our skills
  8. Are we ready to explore every possible opportunity
  9. Are we ready to make it our own
  10. Are we ready to become expert of special field

Dear Fellow

In this era of competitive world — we need to be excellent — if not excellent — try to reach at the level of point of excellence — you will be create wonder in life…your  self -belief , your self will power and your positive self image ——going to bring a massive change ———subject and stream will be left behind — you will be master of what do wish to do—————so are you ready my fellow friend —

School Education

I failed class 12 two times. I am having suicidal thoughts. Is there any way to come back?

Life never ends with examination — we have ample of opportunities -where we can excel in our life. Our life is full of journey — move ahead—but remember one thing —

Whatever happened — happened —no one can bring back — neither time nor situation —- nor— result —but one thing can be done by all of us — ACT NOW—- wise people never ever moan — feeling guilty——-wise people makes this moment a great opportunity- a great challenge to learn——

Yes— only thinking —- nothing is going to change —- action will change everything—- delayed action will not change everything —- YES one thing can change — start working hard —- begin now— if not now —- then never————believe in yourself—- you can create wonder— no matter how many times — a person fails in his vision and mission———

#education #studentcounselling #studytips

What best advice could be given to all CBSE board appearing students?

Believe in yourself…. CBSE is students’ friendly board —has prescribed syllabus and curriculum……………..All the solutions of life problems become only solutions if we do not work on it — working on right solutions of a problem demands a great courage and self discipline—————-forget to find out solutions ——-start working on completing syllabus—

  1. Read all the chapters word by word
  2. Read all the chapters of all subjects without taking burden of learning – just read it
  3. Underline the key words/key concepts/key points of all chapters
  4. Always practice mathematical problems by your own -on paper
  5. Do writing practice of English/Hindi
  6. Develop comprehensive knowledge of all subjects – each subject has same value and same weight-age
  7. Self study is the best solution for all the academic/ learning problems
  8. Forget collecting notes, guides , ideas from so many websites — only wastage of time- focus on NCERT — read as many times as you can
  9. Wise student focuses on self study and wonder happens
  10. Leave overthinking/too much planning — start doing self study from today —- and begin your self study NOW——after 10 months — you will be a different/unique personality in vicinity

Common friend ! – you can do it — start it — no Pandit —No Maulvi —no religious personality will tell the exact time to begin self study— it should happen NOW.

School Education

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How to score good marks in board exam/School Toppers Tips and Tricks for School Students

School Toppers’Tips and Tricks for Scoring Good Marks in CBSE Board Examination in an Interactive Session with Board Appearing Students

Read ‘History’ like story a book. We should read and comprehend ‘History’ like story, Said Tannu with 10th Class board appearing students. Parent, teacher, and principal share exam tips with students i.e. how to score good marks in different board exams on the basis of their experience and feedback given by students. In fact, the student who appeared in board exam and scored more than 95 % marks in almost all subjects , his/her real life problems, struggles  before the exam  and during the exam,  her  techniques to overcome different level of hurdles can sound good for  the appearing  students of board exam. It was, indeed a great interactive session with last year CBSE Board Exam School toppers Ms. Tannu and Ms Laxmi with board appearing candidates.

This interactive session with school toppers provided students a great opportunity to share and discuss their enormous problems and clarify their doubts to Ms. Tannu and Ms Laxmi. Board appearing candidates asked so many tricky questions i.e. (a) what should be study before the exam? (b) How to cover the entire syllabus during the examination?

Interactive session with last year CBSE Board Exam School toppers Ms. Tannu and Ms Laxmi was organized basically for the benefits for board appearing candidates i.e. to discuss some of the problems which might be faced by them during preparation and to build students’ self confidence. 

Ms. Tannu and Ms Laxmi scored more than 95% percent marks in CBSE board exam. Laxmi scored 98% in Science in 10th class board exam. Both the students were hard working and practiced well before the board examination.  Students questioned on different aspects and Ms. Tannu and Ms Laxmi tried to answer students’ questions. Their answers were very authentic and based on real life experience. It will be worth enough to discuss a few tips and techniques discussed in the interactive session.

How to score good marks in English/Hindi?  How to identify the speaker in Julius Caesar? How to score good marks in novel section?

Both toppers were agreed on common points that literature and reading comprehension passage do not put a bigger challenge before students but we should focus on developing writing skill continuously. We used to write letter, article and story ever since beginning of new session which gave us confidence during examination. We used to do proper practice of ‘reading comprehension’ and frequently used to practice integrated grammar questions. We should do intensive practice of writing skill and grammar section to score good marks. Laxmi said, “ Write your answer in good handwriting/legible”.  

How to study Science during examination to score good marks? How to remember diagrams I.e. drawing and leveling? What types of questions come in last 2 chapters of Biology and how to attempt those questions?

Laxmi suggested that “read and develop comprehension line by line of NCERT book”. Laxmi scored 98% in Science in CBSE Board 10th class exam. She insisted that if student’s concept is clear i.e. how digestion process occurs in body, s/he will draw diagram and level it without any problem. We should focus on solving numerical of Physics and equation of Chemistry to score good marks in board examination. Tannu reinstated that reading NCERT books as many times as you can help to develop proper comprehension. We should not focus on individual author’s book during examination. Of course it develops deep understanding; however NCERT book gives you precise knowledge about complete syllabus.

How to study Social Science during examination? How to do revision during examination? What should be the next step if we stuck with a question in mathematics?

Tanu said to students,” Read History like a story”.Read the chapter as many times as you can; try to develop comprehension of text – reading only for the sake of reading will not help you in the examination…..reading with comprehension is crucial point to get good marks in Social Science. We should revise Social Science in Gap days during the examination. I have scored 96% in Social Science and of course, I wrote point wise answer in the board examination. We should not try to copy other notes and read extra help book before the examination. Understanding of text, proper revision in an interval and practice of sample paper will help in scoring good marks.

How to get good marks in mathematics? How to solve trigonometry section properly? How to manage time while solving complex mathematical problems during board exam?

Mathematics is very interesting subject, if a student practices mathematical problems regularly. Formula, derivation and conceptual understanding of theorem help student to score good marks in math. It is always wise decision to remember the formula of trigonometry. Students should practice examples of R.S Agrawal in Trigonometry Section. We should not delay or leave a question un-attempted during an examination. It is wise to attempt question and tries to solve it step by step. If you stuck in a mathematical problem – do step by step and leave it incomplete if you are unable to solve at that moment. Firstly, we should attempt last section of mathematics in the examination hall.

Both of students were very assertive and reminded so many times that we should not read new topics/books/notes during the examination. We should not delay any topics/points to read/learn at the examination time. We should learn and revise every topics mentioned in the prescribed syllabus well before examination. Ms. Tannu and Ms Laxmi advised all students to study a little more time before the examination so that they should cover all the important points and section of different chapters of different subjects. Students should trust heavily on NCERT books. Ample writing practice, solving different questions on paper, showing it to teachers and peers really help students to introspect and work on mistakes suggested by evaluators.  Last but not the least they repeatedly reminded all students that ultimately “s/he has to study, do hard work, practice more and more (previous years sample papers) for developing more comprehension about different topics. Consistent study and concentration during study are more important than reading many hours without it.

Rajeev Ranjan

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Board Exam-How to Score High Marks-Important Tips for Students-Exam Preparation Tips and Tricks

Students,teacher, school management and parents are little worried about the board(CBSE, ICSE, CIE intermediate, advance level) examination. Students are worried too much. The giant question is “How to Prepare/How to Memories/How to Manage Time for All Subjects” etc. Experienced educator, capable parent and skilled researcher agree on one essential aspect of learning that complete knowledge of prescribed syllabus, proper planning and regular study throughout the academic session help a lot for getting good marks in annual/board examination. A wise student plans ahead for the examination based on his own capacity, capability and proficiency.

In several countries examination system heavily depends on the students’ performance in a scheduled annual/board examination.  Proper planning of a Student helps him to cope up all different types of examination related stress timely.Understanding of Question Paper Pattern is one the most crucial aspect forgetting good marks in board examination. The basic question arises that who will plan and how will chalk out the plan.

Having Knowledge of prescribed syllabus

Wise student develop a better understanding of prescribed syllabus in whole academic year with the help of self-study, teacher and in some case parent. Student covers all syllabuses without distinguishing between interested and non -interesting topic. There is nothing like interested and uninterested topics in prescribed syllabus. Examination expert sets question paper based on complete syllabus.

Having Knowledge of Question Paper Pattern

Wise student develops a better understanding of question paper pattern with the help of teacher. S/he tries to draw an outline of question paper i.e.

a.       How many questions will be there in a set of question paper?

b.       How many sections i.e. Section A, Section B will be there in a question paper?

c.       What will be weight-age of each question in different sections?

d.       What will be nature of questions in different sections?

e.       What is different typology of questions i.e. based on ‘remembering’, ‘understanding’,application etc?

f.        Will there be internal question choice in different sections?

g.       What are words length mentioned for each question?

h.       What is duration of examination?

i.         How s/he will attempt all the questions within prescribed exam time?

Having Knowledge of Nature of Questions Section wise

Wise student plans ahead on the basis of different types of questions mentioned in a section. Suppose that  Science will consist of 27 questions, however an internal choice will be provided in three questions of 3 marks each, two questions of 5 marks each and one question(for assessing the practical skills) of 2 marks.

Having Knowledge of Different Questions Typology 

Wise student essential needs to plan like question numbers 3 to 5 in Section B,  are of two marks. The word length of these questions will be about 30 words each. When a student prepares plan for writing these questions,she finds out that out of 3 questions in this specific section, one question will be based on ‘remembering’ (knowledge based on simple recall questions, to know specific facts, terms, concepts, principles, or theories, identity,define, recite, information) or in ‘Social Science’ question from serial number 19 to 25 are 5 marks questions. Out of 7 questions weight-age of 5 marks, word limit 100, 1 question will be based on Higher Order Thinking Skills (HOTS), and 2 questions will be application based (Use abstract information in concrete situation, to apply knowledge to new situations, use given content to interpret a situation, provide an example, or solve a problem), 2 questions will be based on ‘understanding’ and another 2 questions will be based on ‘remembering’. 

Having Capability to Write Quality Content/Quality Answer

The most crucial point which a wise student remembers while planning that is typology of question i.e. based on Application, HOTS, and Multidisciplinary should be answered according to nature of question. The content of answer of these different types of questions change(choice of words, use of different types of sentence i.e. assertive sentence,descriptive sentence, factual sentence, comparative, data analysis,interpretation of data,  etc). Indeed, this helps wise students in developing concise, precise, accurate and detailed quality content purely based on the nature and demand of a particular question.

Having Skill to Manage Time Properly    

What do you think? If a student is very brilliant i.e. having command on subject, having clear concept , having vast knowledge on  nature of question paper etc but having very poor time managing skill; will s/he able to write all questions in a given time frame! Student cannot increase and decrease duration of examination. S/he can only develop skill of managing time wisely. Examination time is purely not Jio Internet Pack which we can buy even after finishing given value pack (1GB/2GB)on daily basis. Wise student plans for each and every section of question paper i.e.

a.       Total Time (Hour/Minutes) of Examination

b.       Time taken in other essential official work in the examination hall

c.       Total number of questions

d.       Consumed time on a question

e.       Complexity level of question

f.        Time for written answer revision

A wise student investigates, inquires and thinks over best planning, moreover s/he works on executing early discussed and developed plan in the examination hall forgetting good marks in board exam. S/he tries several times well before examination in terms of developing concepts, relevant illustration, writing skill and practicing different question paper. Practice and review of outcome will help each and every aspirant to achieve high score. So, be the first to do it! Will You—–

Rajeev Ranjan

Indian Educationist

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Exam Preparation: Study Tips and Guidelines

Hard work is a key to success. Learning part and portion of a syllabus is incomplete way for an examination preparation. Syllabus is designed to cover in a certain period. Proper planning and execution of planning with the help of good study materials can help students to achieve good score. Good students study complete prescribed syllabus. They try to develop better understanding of complete syllabus.

Wise students do regular study right from the beginning of an academic session. They develop their own study skill for developing better understanding. They fight with themselves to perform better in an examination system. They set their own target to achieve in a day to day life.

Wise students develop a better understanding of Question Pattern. Basic concept never changes. Language of question may be easy/complex/difficult but answer of that question belongs to basic concept.  A student who knows Newton’s 3 Law of Motion can give all questions’ answer based on this concept. We should try to understand the language of question.

Concrete biopsy of Question Paper Pattern

  1. Prepare a list of potentials and prospective questions based on study, nature of questions of previous years, teachers’ hint etc

Wise student analyzes question pattern of an exam. He prepares a list of potential and prospective questions based on previous year and on complete prescribed syllabus.

  1. A question paper consists of different types of questions:-

Questions pattern (a) Factual (b) Inferential(c) Analytical

  • Multiple choice questions
  • True and false
  • Matching questions
  • Fill in the blanks
  • Distinguishes between two similar or opposite nature
  • One word answer
  • Descriptive (Essay/Article)
  • HOTS
  • Many more according to need, and objective of the examination

Previous years question papers will give an insight about the nature of questions

Language of questions

Important questions repeatedly asked in consecutive years

  1. Writing practice in solving a set of question paper within a time frame

Wise students prepare a list of probable questions and do more and more practice to make a command on them. When a child appears for a board examination i.e. matriculation/ intermediate/advance intermediate; s/he should practice on a complete question set and try to solve it within a time frame. It helps student to develop a better understanding and more writing practice has great psychological and physiological effect. Students gain self confidence and self realization for taking a step of correction for improving weak points of learning.

It is better to discuss about the quality content of answer with peers/friends. It is beneficial for both the students i.e. evaluator and writer. Sometimes, student should read his own written answer script. Student gets an insight if s/he reads his own answer script. Student should re-read it after a gap of 5-6 hours so that mind works actively at that time and he would be able to identify mistakes which a student may do in extreme pressure.

Dos & Don’t

Believe in yourself. You have inborn ability and capacity to learn

Believe in yourself. You can perform well in the examination

Believe in your gained knowledge of subjects during academic year

Take care of your health during examination

@ Drink Enough Water

@ Do Breakfast Regularly and on time

@ Take Healthy Diets

Practice according to your own capacity

**Revise learnt topics as many times as you can** rather than worrying about what you do not know

Follow healthy habits and learn from each and every experience in life

Fix a comfortable place for study i.e. chair, table or other things

Proper light and fresh air ***

Prepare a time table suitable to your ability, capacity, persistent and consistent nature

Develop a habit for reading consistently for whole year; no matter even if only one hour in a day

Have all your materials ready before you begin study-pencils, pens, papers, books, notebooks, notes or other study related materials

Do not depend on others; work at your own pace

Do not waste your time with friends for collecting new notes on untouched topics day before examination

Do not learn any new material the night before the examination

Keep yourself engaged for a short while with your social or other recreational activities. (***** Warning it must be for a short period***** otherwise ***)


Enjoy your life with your favorite hobbies (listening music, dancing, walking, driving, sleeping, cooking, running, drawing etc). No stars will fall upon us if we celebrate some moments in exam time or before an examination.

A warrior practices well before war for developing his self confidence and positive winning spirit. Neither he worries for past, nor he prepares future plan. He only fights with total integrity. Integration of body, mind and soul determine the success.

 Restore, Refresh, Relax, Rejoice, & Rejuvenate yourself

Rajeev Ranjan

Indian Educationist

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Weak Students Facts and Factors

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Exam Preparation Tips: 15 best ideas and techniques for getting high grades/score in an examination


Believe in yourself. You have inborn ability and capacity to learn.  Nobody is superior and nobody is inferior in this world. We are unique individuals. There is only a thin layer difference between success and failure. Successful people accepts challenges and work very hard to achieve them; failure people blames his failure on different other aspects. We are complete human beings.

Believe in yourself. You can perform well in the examination. Yes, I am not less than other. It may be possible that other’s has more facilities than ‘I’ but textbook is same, syllabus is same, curriculum is same, teacher is same and question paper is same for one and all therefore I have same opportunity than others to crack the illusion of an examination.

Believe in your gained knowledge of subjects during academic year. I will appear in the examination. I will write in the examination so I will prepare my complete prescribed syllabus during an academic session. A wise student studies well and studies continuously for covering prescribed syllabus. It does not matter that some had studies 5 hours in a week and 30 hours in a month but if a student studies 1-2 hours regularly, s/he will make a big difference in the examination.


Take care of your health during examination. A wise student not only works very hard for an examination but takes care of his health before and during the examination. It is crucial time for proper study and rational revision. Falling ill for one day can have negative impact on our mind. So  wise students:

@ Drink Enough Water

@ Do Breakfast Regularly and on time

@ Take Healthy Diets

Practice according to your own capacity. We are unique in all most all aspects. If we rely on our own way of learning styles and practice adequately according to our need, we will surely be a good performer. It is always attractive to know other’s way of learning but I cannot copy and instill other’s personality traits into my own personality. It is always better to practice according to need and nature of an examination. Wise student ensure learning so that at the time of examination he can recall and write on the answer sheet. Proper practice and practice several times using different tools and techniques are best solution of many problems.

**Revise learnt topics as many times as you can** rather than worrying about what you do not know

Keep yourself engaged for a short while with your social or other recreational activities. Mind retains information for a long time only when we collect it in a peaceful mind. Learning is a complex phenomenon. Peaceful mind receives more information than information collected in a complex situation. Wise student takes a short time break during revising lessons or learning different topics. (***** Warning it must be for a short period***** otherwise ***)

Follow healthy habits and learn from each and every experience in life. Positive habit formation helps an individual to become an integrated personality. Good performers always form right habit for learning new things, at the beginning of a new academic session. We learn from our different experiences. We analyze different hurdles, complexities and difficulties during our learning. We modify our learning styles to rectify these difficulties for a better performance.

Fix a comfortable place for study i.e. chair, table or other things. We train our mind to study well and retain information for a long time. When we fix a place for doing study, it helps us in studying well. It avoids distraction and increases concentration of student. We know that “more concentration, more understanding”. Our place of study should have proper light and availability fresh air for peace of mind.

Proper light and fresh air ***

Prepare a time table suitable to your ability, capacity, persistent and consistent nature. Generally it is observed that student makes a compact time table which may be continue for a few days but it fails in long term learning. No need to follow other’s instructions, suggestions and styles while preparing our time table. We need to prepare a concrete and rational time table for study different subjects. We need to evaluate our own capacity i.e.

How much time I will be able to sit?

How much time I have for self study?

How much time I can give for revision while performing other life essential tasks?

How much time I need for prepare myself for next tasks?

Develop a habit for reading consistently for whole year; no matter even if only one hour in a day. I never find a miraculous person in my life who has achieved great result in an academic field by working hard at 11th hours of examination. Working very hard before an examination is completely destroying one’s self because magic happens with once and at once in millions of people, otherwise a person who studies consistently for whole academic year; s/he only creates wonder in life. A wise student studies rationally and practice well before an examination for a better result. What do you think?

Have all your materials ready before you begin study-pencils, pens, papers, books, notebooks, notes or other study related materials. A better concentrated mind works well during a tense situation.  We should keep all necessary study materials near our study table so that whenever we need it, we can access it on right time. It saves our time as well as makes us efficient learner. It does not make any extra pressure.

Do not depend on others; work at your own pace. A good learner does not depend on others notes and resource materials. A good learner does not think about other’s way of working. Learning is completely a personal phenomenon. He develops own rational ways, techniques and tools for concrete learning. Wise learner does not expect magical support from other in the examination hall.

Do not waste your time with friends for collecting new notes on untouched topics day before examination. Wise student takes wise decision for better performance in the examination. Suppose if a student has prepared 94 percent of syllabus before one day of examination so he will adopt practical approach. I think it is better to ensure complete learning of covered syllabus, proper revision and proper practice so that there is no place of a little confusion. It may not be wise to ask notes from friend and preparing it just before examination. It is completely wasting of time. We want to reach everywhere but time does not allow us therefore revision is best medicine rather wandering here and there.

Do not learn any new material the night before the examination. Whatever happened, it happened for good thing. Whatever you studied, you studied for good result. Now, it is time to fix your learning. It is time to ensure that you have learnt very well. Develop a sense of satisfaction, a sense of confidence and strong will power to rethink, reconsider and recapitulate for better performance in the examination. If we write quality answer only then examiner will evaluate our answer properly. It is not wise to waste most precious time on exploring new material before examination.

Restore, Refresh, Relax, Rejoice, & Rejuvenate Yourself before an Examination. Can we talk with our friend? Can we talk with our family members? Can we hear our favorite music? Can we draw a picture? Can we dance to release our stress? Wise students act on various ways and means for developing concentration level before an examination. It will be purely our own choice.



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