Tips to revise the maths syllabus

The Math Exam for Class 12th Students of CBSE are due tomorrow! This is the moment of panic? Don’t worry, we bring to you tips to polish your skills. Last minute revision tips that help you put your best foot forward!

  1. Are all the formulas in place? Remember to memorize all the formulas. If the formula is identified and applied correctly, you automatically get one mark for it. Once the formula is in place, rest is just calculation that you need to do.
  2. Step Marking- Do not hurry in the exam.  Remember, that CBSE follows a pattern of step-marking. Therefore, due to one calculation error here or there, if you are unable to get to the right answer, you still get marks for the answers. Mentally revise steps for the more difficult questions.
  3. Calculations? Calculations! Be very careful while doing the calculations, this is a miss for most of the students. Make a rough column or use the last page of your answer-sheet, but be very precise with your calculation. Take a minute per question extra, but do not panic and do the wrong calculation.
  4. Diagrams: Some math problems cannot be solved on a plain reading. However, when you read the question and draw a diagram pertaining to it, it becomes a lot easier. So, draw diagrams wherever you think it is necessary.
  5. One Last Mock: The last but surely not the least, sit for a mock tonight. Pick up any sample paper or past year paper, get some sheets out of a notebook and solve the paper in one go. This will prepare you mentally for the exam you are about to appear for tomorrow! Please identify your mistakes and make sure to not repeat them tomorrow.

All the very best, guys! Math is a demon for sure, but not all demons are undefeatable!

Best way to find if a number is Prime.

A number is greater than 1 is called a prime number, if it has only two factors, namely 1 and the number itself. All other numbers that have more than 2 factors are composite.

Note: The number ‘1’ is neither prime, nor composite.

Prime numbers up to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

There are,

9 prime numbers till 25,
15 prime numbers till 50,
and, 25 prime numbers till 100.

Procedure to find out if a number is prime or not:

Suppose ‘P’ is given number.

Step 1: Find the nearest whole number ‘R’ that is greater than square root of P. Let ‘R’ be square root of (P).

[For example, if P is 337, then square-root of P lies between 18 and 19. Therefore, R will be 19 in this case]

Step 2: Test whether P is divisible by any prime number less than R.

If yes, P is not a prime number.
If not, A is prime number.

For example:

Find out whether 337 is a prime number or not?

Step 1: 19 is the nearest whole number greater than the square root (337). List down the prime numbers less than 19.

Prime numbers less than 19 are 2, 3, 5, 7, 11, 13, 17

Step 2: Divide 337 with each of the numbers and check if divisible or not. We found that, 337 is not divisible by any of them.

Therefore 337 is a ‘prime’ number. 

So, Is 347 a prime number? Use the steps given above and post the answer in the comments section!


BONUS TIP: The same logic happens to be the best and most efficient logic for algorithm design when creating a computer program to test if a number is prime or not, in any programming language.

Hope you found this post helpful to solve your math homework problems.

Please let us know if this post helped, in the comments section.

See you all in the next post. Till then, happy learning! 🙂

How to use Flash cards effectively?

Flash cards are a classic of stationary. It is a study tool which promotes the idea of active recall. As it is one of the best ways to learn effectively, let us learn a little more about its usage.

Students often use flashcards but not in the right manner. They often tend to use the tool in a wrong manner, it might be through rote memorization, over-using, or creating complex cards.

Here are the ways by which you can use flashcards efficiently.

The three-step learning:

Flashcards are great for the most efficient way of learning i.e. the three-step learning. A student works on in-take of new information, wrangling with it, and ultimately creating a new something out of it. This last step would be your own creation and its efficiency depends on how you work on the first two steps. This might be time consuming and students might even supplement the self-made cards with the ready-made cards, but the time you spend on creating the flashcards helps you get the summary of the concepts during the process.

Flash cards for learning new languages:

When you dive onto the task of learning a new language, it might seem tough due to a literary gap. You can write words on one side and their meanings on its back. For example, If you are learning Japanese, use flashcards for kanji for smart studying.

A mix of both worlds:

Flash cards are best when used with both words and pictures. According to a concept of cognitive psychology i.e. the Picture Superiority Effect explains that humans remember imagery better than words. This is one great way for Biology students. The trick here is to cut out small pieces of papers on which, you can use the back side for diagrams and the front for its explanation. It will ensure that you are all covered on your theory and have it all at one place.

Hope you guys understood the benefit of Flashcards during exam preparation.

Please let us know if this post helped, in the comments section.
See you all in the next post. Till then, happy learning! 🙂

National Mathematics Day, 22nd December

Mathematics day

Srinivasa Ramanujan

Why is it celebrated?

Every year, the country celebrates National Mathematics Day on December 22. We celebrate it to commemorate the birth anniversary of Mathematician Srinivasa Ramanujan-The man who knew infinity.

Dr Manmohan Singh, Former Prime Minister of India, made the declaration, during the inaugural function of the celebrations to mark the 125th birth anniversary of Srinivasa Ramanujan. The Madras University Centenary Auditorium hosted it on 26 February 2012.


From his childhood, Ramanujan had a huge passion for mathematics. So much that at the age of 12, he had mastered trigonometry and developed many theorems without any assistance.

In 1903 he secured a scholarship to the University of Madras but lost it the following year because he neglected all other studies in pursuit of mathematics.

Nevertheless, Ramanujan continued his work, without employment and living in the poorest circumstances. He got married in 1909. After that, he began a search for permanent employment that culminated in an interview with a government official, Ramachandra Rao. Impressed by Ramanujan’s mathematical prowess, Rao supported his research for a time. But Ramanujan, unwilling to exist on charity, obtained a clerical post with the Madras Port Trust.


In 1911 Ramanujan published the first of his papers in the Journal of the Indian Mathematical Society. Soon, his genius slowly gained recognition, and in 1913 he began a correspondence with the British mathematician Godfrey H. Hardy. It led to a special scholarship from the University of Madras and a grant from Trinity College, Cambridge. Overcoming his religious objections, Ramanujan traveled to England in 1914, where Hardy tutored him and collaborated with him in some research.

Later, in 1917, The London Mathematical Society elected Ramanujan as a member. Following that, in 1918, he also became a Fellow of the Royal Society, becoming the youngest person to achieve that feat.

Throughout his life, many health problems plagued S Ramanujan. Ttuberculosis and a severe vitamin deficiency at the time, confined him to a sanatorium. In 1919 he returned to Kumbakonam, Madras Presidency, and soon thereafter, in 1920, died at the age of 32.

Wish to know more about S Ramanujan? Check out this post by The Hindu:


Cube roots: Quick shortcut for any number

Cube roots

Usually, finding the square root of a number is an easier task compared to finding the cube root. Finding the cube roots of numbers is a complex and time consuming task. We are here to make that task quick and easy for you.

When you’re giving a time-bound exam this can save a lot of your precious time. So, if your Mental Maths is not too strong, then we have a method that helps you learn how to quickly and easily find cube root of a number.

Pre-requisite: – You need to make a little effort to remember the cube roots for number 1 -10.

STEP 1 – One of the main things you should know is that even if it’s 4 digit , 5 digit or 6 digit number, the cube root will be of two digits only.

STEP 2 – For example, you need to find out the cube root of number 39304. Now there are few steps to solve it :-

  • The last unit of number is 4 so look for the cube roots of number 1-10 which have 4 as a last unit .
  • You will find that the number 4 has it’s cube root ending with the number 4 .
  • It means the cube root of this question will end with 4. Now forget the last 3 digits of the question that means you are left with 39 . Now look where does 39 lie in the cubes of number 1-10.
  • You will find that it lies between 27 & 64 . Look which is the smallest one out of both that is 27 < 64 . So write the corresponding number to 27 that is 3 .
  • So the two digit cube of 39304 is 34.

Refer to the video explaination (if required):


1. Please remember that this method gives accurate answers when we are finding cube roots of perfect cubes.

2. And for other numbers which are not perfect cubes, it will help you find out approximate cube-roots.

Please let us know if you found this helpful in the comments section below. Till then, Happy learning! 🙂

Don’t forget to check out our post on Periodic table!

Periodic Table: Effective method to memorize elements

When it comes to recalling the whole periodic table, it looks like a daunting task that is enough to put anyone off their preparations. But, by using some simple tricks you can memorize the periodic table in a systematic manner.

The easiest way to memorize periodic table is “mnemonics”. It means that you need to only remember some lines or phrases as a representation of series of elements.

Periodic table

In this post, We will illustrate the method of mnemonics for “S” block elements.

If you see in the above diagram, the ‘S Block’ is made up of two groups:

Group 1 is known as alkali metals. It includes Lithium (Li), Sodium (Na), Potassium (K), Rubidium (Ru), Caesium (Cs), and Francium (Fr).

Mnemonic for Group 1:     LiNa KRuby CsFriendship hai.

Group 2 is known as alkaline earth metals. It includes Beryllium (Be), Magnesium (Mg), Calcium (Ca), Strontium (Sr), Barium (Br), and Radium (Ra).

Mnemonic for Group 2:     Beta MangCaScooter Baap rone se Raazi.

As we can see from the above example, it was very simple to memorize a series of elements by the method of mnemonics. Similarly, you can make mnemonics for every block in the periodic table.


  • Make sure that the mnemonics are funny and at the same time easy to remember.
  • Additionally, also make sure that you remember what the mnemonics of each word represent, otherwise, the whole purpose of mnemonics will go in vain!

See you guys in the next post. Till then, happy learning! 🙂

Don’t forget the check out our previous post on Cube roots of large numbers.

Historical events: How to remember dates

Historical dates

Memorizing historical dates

History is one such subject where memorizing dates is considered to be the toughest part. But what is more frustrating is that even after spending a considerable amount of time memorizing them, we still forget dates of historical events.

So here is a successful method which can make memorizing historical events’ dates very easy:-

  1. Create a DATERONI table:

Firstly, write all the numerical digits from 0-9. Now write all the alphabets in downward pattern against all the numerical digits. However, make sure that we avoid all the vowels (a, e, i, o, u) in the tabular representation.




Secondly, once the table is created, we need to learn how to make use of it to achieve our objective. For example, if we need to remember the date of “Gandhi Irwin Pact, 1931” then it can be done as follows:

  • Look at the last two digits in the DATERONI table.
  • For ‘3’ we have option to choose ‘F’ or ‘R’ and for ‘1’ we have option to choose ‘C’ or ‘P’.
  • Wisely chose one letter each and combine it with vowels to make a funny word.
  • Say I choose R from 3 and P from 1 now using vowels we make a word ‘ROPE ’.

Finally, to remember the word ROPE you can link the funny word and the event as -> “After signing Gandhi Irwin Pact, Gandhiji tied Lord Irwin’s hand with rope”.

In this way, studying becomes fun and effective at the same time. In other words, it allows you to focus more on understanding the events and worry less about how to memorize the dates for the exam.

So, let’s make sure we put this method to practice and enjoy learning History! 🙂

Don’t forget the check out our previous post on Cube roots of large numbers.

What were the mistakes that you committed while preparing for NEET and AIIMS?


Nearly 12 lakh people appeared for NEET 2018 making it one of the most competitive exam to be conducted in India. If we see the case of AIIMS, about 1.5 lakh applicants compete for the 672 seats available in the seven AIIMS centres –New Delhi, Patna (Bihar), Bhubaneswar (Odisha), Jodhpur (Rajasthan), Raipur (Chhattisgarh) Rishikesh (Uttarakhand) and Bhopal (Madhya Pradesh). I’m sure you are feeling overwhelmed by the numbers and the scale of the competition but that shouldn’t deter you. With proper planning and preparation of studying couple of reference books, you can surely crack these exams and get a seat in an Institute of your choice. Let us now look at the common mistakes people commit during the preparation for NEET and AIIMS and strive to avoid them.

Taking it easy

I’m sure almost all of your teachers and parents must have told you that the 10th Board Exam is the only important thing in your life and you can chill after that. No. They were just saying that so you would study hard for your exams. The truth is you will have entrance exams, then college and then college’s share of exams and so on. Trust me, it’s not going to end so soon so you better make peace with this fact. To crack NEET and AIIMS, you have to actually prepare on a whole new level with an extreme level of dedication and discipline with proper planning. Starting early as soon as you start your Class 11 would save you a lot of stress later on.


Studying from way too many books

The best way to get learn any concept thoroughly is to stick to one textbook that explains it well and have a couple of reference books. With the increase in the number of students taking the NEET, there a lot of books claiming to be the best in the market with expected questions or shortcuts or the like. If you buy so many books, you will end up overwhelmed by how much you have to study. The key here is quality, not quantity. So, stick to one textbook and a couple of reference books for practice per subject.


Skipping some topics

Many people skip the topics or subtopics they don’t understand without ever giving a proper attempt to understand and clarify their doubts. Just imagine, even if you leave one sub-topic per lesson that’s atleast 30 topics per subject at the end of two years. And that’s a lot. So save yourself time and also stress and try to understand the topics as completely as you can.  


Focussing on one subject too much

Many students make the mistake of spending a lot of time on only one subject because they like it. Interest is a really good thing and I’m not advising you to not follow your interests but while preparing for a competitive exam we should look at the ways to effectively maximise our score. You should spend nearly equal time on all the three subject. Only if you do well in all the three can you get a good score and hence a good rank.


Not taking a break

Yes there is a lot of syllabus to be covered and there is also the pressure of doing well in Board exams but wait. Relax. Take a second to catch your breath. Did you know that a person’s concentration typically lasts for about 45 minutes to one hour? After this your brain starts to lose focus and gets distracted very easily. So that’s the cue to take a break. Just a 5 minute break to stretch your legs and refresh your mind and for keeping consistent energy. You should also be taking half-hour breaks every 2 hours or so to keep your mind fresh and ready to absorb all the new material.


Not being consistent

Two years is a long period of time to prepare. In this period, many people falter or just give up. Don’t be one of those people. The preparation for this exam is like a marathon not a race. You will need consistent energy to keep going. Don’t use up all your energy in the beginning and then get exhausted and sit back. The biggest factor that would change your result will be consistency. So keep going at whatever pace you are comfortable in and increase it slowly if necessary.


Making silly mistakes

There are many people who are on the edge of cutoffs just because of the silly mistakes that they commit in the entrance exams. The cost of these mistakes is thus quite high. You have to always keep in mind that you have negative marking in your paper. Do not answer the question unless you are absolutely sure about the answer. Also keep practicing questions regularly to avoid silly mistakes.


Always remember that for you to succeed all you need is smart planning and the diligence to follow it. If you start early and prepare accordingly, you will definitely ace the exam. Good luck!

How important are NCERT Books for NEET and AIIMS?

ncert books_scholr

The NCERT exemplar books contain conceptual sums, which cover CBSE board exams and competitive exams (JEE Mains, JEE Advanced, NEET, AIIMS examinations.). They are very useful for conceptual understanding and strengthening your problem solving concepts.

Dilemma of Reference Books

Students often find themselves getting stressed during the exam preparations. It is crucial that the students choose the right source of preparation to get good marks. With all types of sources for the exam, students are often found wasting their time over deciding the right option and do end up taking wrong decisions due to this confusion. To avoid getting stressed, students must refer to NCERT Exemplar textbooks. Both top academicians and successful engineers vouch for the usefulness of these books. NCERT Exemplars are not only useful for JEE-Main preparation but are also helpful for all competitive exam preparations in India. They are the Bible for students preparing for their dream careers.

NCERT (National Council of Educational and Research Training) develops and distributes textbooks for primary and secondary levels. You will find these books very useful in understanding complex topics.

Being the most basic books and written in very simple language, lucid and neutral perspective makes NCERTs as the base for the entire preparation. One will get most of their basic concepts covered from these books. Secondly, mains answer writing language should be similar to the writing style of these books which make them as the fundamental element while preparing for the Medical Entrance Examinations as CBSE is the exam governing body of the NEET examinations.

It helps in planned study otherwise, you may be lost in the vast ocean of data and coaching materials. It helps to reduce your workload of analyzing numerous reference books.

How to read NCERTs?

Always remember, it’s not about reading and finishing the books but to remember those concepts, facts then recall them in the examinations

Thus, NCERTs must be studied and prepared in such a way that it can be revised in 10-12 hours only.

If you are preparing for NEET and AIIMS you should consider NCERT as a major reference book. Majority of the questions in NEET biology comes from NCERT itself. The level of physics and chemistry is as par with NCERT. You should practice all questions and examples of NCERT.

You can obviously refer other books and coaching materials but NCERT is the foremost. Since the competition is too tough only NCERT won’t suffice your purpose. Practice many questions and practice papers. A detailed knowledge about some important topics of biology like genetics, biotechnology, human physiology, reproduction is a must.

NCERT exemplar is a must that gives you some tricky objective type questions and makes you more confident.

These are good books, especially for the objective questions. But you must finish the NCERT textbooks thoroughly (theory and questions) and to be on the safe side, you must refer to some other standard books as well. The best reference books for NEET/AIIMS are as under:


Does Class 12 board marks count in JEE 2019 & NEET 2019?


Indian Students grow up in an academic atmosphere in which their parents, relatives, acquaintances emphasize the importance of board exams. Students are made to give utmost importance to 10th board examinations since they are it is crucial for deciding on a junior college and getting the preferred streams. As times passes, students are pressured for 12th board examinations since it is the career deciding exam which would be looked up in their entire professional career and it is the exam which helps in clearing the criteria of eligibility of certain colleges.

JEE Mains and NEET is an exam of true grit and knowledge based on your hard work. It not only tests your patience, concepts and ability to manage time effectively but also the consistency over a year or two.

Effect of Class 12 Board Examination percentage in JEE Main

Till 2016 for the calculation of the JEE rank, JEE Mains Examinations score had a 60% weightage and Boards Percentage had a 40% weightage. So, it was necessary for students to score well in both their entrance examinations as well as their board examination.

From 2017, the Board Examination Percentage is not considered for calculating the rank. However, the student should successfully secure 75% overall and 60% in individual subjects to secure seats in colleges under JoSSA, BITS and also be eligible for JEE Advanced. Even in 2018, the board exam percentage was not considered for calculating the rank in JEE Main. However, there is always a possibility that this rule might not hold true for the next academic year.  But since, this is a new regulation adopted by the Ministry of Human Resource Development it is unlikely that it would be changed after just 2 years of its implementation. But students should always consider the possibility that board examination percentage might affect their admission since they need to secure 75% anyways.

Effect of Class 12 Board Examination percentage in NEET

For NEET, students need to secure a minimum of 50% to be able to secure seats in any medical college. Further, if two students have equal marks overall as well as equal marks in Biology, Chemistry and Physics then one with a better board percentage is given a better rank. Further, students need to secure a minimum of 75% in their boards to be eligible for AIIMS Examinations.