Category Archives: EXAM TIPS

REVISING MATHEMATICS-LAST MINUTE PREPERATION-(II PUC)

THIS ARTICLE IS FOR THE STUDENTS WHO ARE IN LAST MINUTE PREPARATION.

It is very difficult to mention important questions  in mathematics. Because the direct questions what everybody list as important questions   in other subjects will not  appear in  mathematics.

But patron of the questions will be same as in previous year question papers.  practicing  problems of  previous year questions  is enough to prepare for Mathematics.

If u are selecting, complete the following areas:

ALGEBRA

Matrices and determinants:

a)Solving the simultaneous equation by cramer’s rule and matrix method

b)Statement of cayley Hamilton theorem and finding inverse of matrix and verifying cayley Hamilton theorem

Vectors

a)Application of vectors like: proving sine rule, projection rule, cosine rule, compound angle formulae, angle in a semicircle is right angle by vector method

b)Problems on scalar triple product and vector triple product.(standard problems)

c)Find the projection of one vector to another vector , find the sine or cosine of angle between the vectors, unit vector in the direction of vector,

Groups

a)Proving a particular set forms an abelian group like Show that a*b=a+b-ab forms an abelian group, Show that G={5^n, (integral multiples of 5) } forms an abelian group etc  refer topic wise questions in mathematics in this website.

Elements of Number theory :

a)Finding GCD of two numbers and representing them as a linear combination of x and y and showing x and y is not unique

b)Find the number and sum of divisors

c)Finding the last digit or unit digit, solving linear congruence.

TRIGONOMETRY

INVERSE TRIGONOMETRIC FUNCTIONS:

a)problems on use of formula tan^-1 x + tan^1 y= tan^1(x+y/1-xy)  etc

GENEREAL SOLUTION OF TRIGONOMETRIC EQUATION

a)GS of trignometric equation of the form acosx+bsinx=c

b)GS  by using  FORMULA OF CONVERTING sum of trigonometric functions  into product or product into sum

COMPLEX NUMBERS

a)State and prove Demoivre’s theorem

b)problems on this,  see topic wise questions in this website.

CIRCLES

a)all derivations: equation of tangent, condition of orthogonality, finding length of tangent, condition for the line y=mx+c to be tangent to to circle x^2+y^2 =a^2

b)problems on orthoganal circles, and finding  equation of circle by finding g, f and c using conditions in the given problem.

CONIC SECTION:

a) all derivations: Derivation of parabola, ellipse and Hyperbola

b)problems on finding centre , focus, directrix and ends of Latus rectum of parabola , ellipse and Hyperbola,

c)Definition of rectangular hyperbola, director circle, auxilary circle and its equations

DIFFERENTIATION:

a)problems on differentiation from first principles: no need to solve differentiation of inverse trigonometric function by first principles and some problems like  root sinx, sinrootx etc.

b)problem on successive differentiation, logarithmic differentiation , parametric differentiation

implicit differentiation (refer topic wise questions- it contains limited number of questions).

APPLICATION OF DERIVATIVES

a)Problems on Derivative as a rate measure, problems on finding maxima and minima involving 2 dimensions figure only( Don’t go for problems on finding maxima and minima involving figures like , sphere, cylinder, etc)

b)Angle of intersection between two curves: like: If ax^2+by^2=1 and Ax^2+By^2=1 cut each other orthogonally , show that 1/a-1/b=1/A-1/B

INDEFINITE INTEGRAL:

a)problems on forms of integral, all types

DEFINITE INTEGRAL

Proving  some properties of definite integral, and problems using definite integral.

AREA UNDER A CURVE

See topic wise questions in this website.

DIFFERENTIAL EQUATION

a)Finding order and degree of Differential equation.

b)Solving Differential equations by variable separable method (see topic wise questions)

At last:

Finding GCD of two numbers, and representing them as linear combination  or finding sum and number of divisors                                                                                                    5 MARKS

Solving simultaneous linear equations by matrix method, cramer’s rule, finding inverse and verifying matrix by using cayley Hamilton theorem.                                  5 marks

Groups : Showing a set forms a group :                                                              5 marks

Definition of ellipse , hyperbola, parabola as a locus and Derivation of parabola, ellipse , hyperbola in standard form in  conic section (Important) or all derivations in conic section like  condition for the line y =mx+c to be tangent to parabola, ellipse, hyperbola  including problem etc                                                          6 marks

Problems on differentiation from first principles:                              3 marks

Complex numbers: problems on demovires theorem

and its proof :                                                           6 marks

Vectors: Application of vectors or problems                                       4 marks

Problems on Derivative as a rate measure , angle of intersection between two curves, maximal and minima (application of derivative problems)                        :                         6 marks

Finding Area under a curve                                                                     5 marks

Proving  some important properties of Definite integral and problem on this            6 marks

And so on……………………………………………………………………..

Count the marks  you will get more than 35 marks

So it is easy to prepare for mathematics examination .

Excuse for spelling and grammatical mistakes

so

BEST OF LUCK .

FROM

VASUDEVA KH

VYBHAV G.R.

ಗಣಿತ ಪರೀಕ್ಷೆಯ ಸಂದರ್ಭದಲ್ಲಿ ಸಮಯ ನಿರ್ವಹಣೆ :

TIME MANAGEMENT IN MATHS EXAM}

Sun, 02/28/2010 – 23:56 |  aravind

TIME MANAGEMENT IN MATHS EXAM

“I knew answer for all questions but I did not get sufficient time to answer”. These are the words students usually utter once they come out of the exam hall! Some students even say “ I knew every thing but i had written only for 80-90 marks” . Some students may write only for 50-60marks, even if they are prepared very well. Why this happens ? how this happens ? can it be avoided?

YES!

These can be avoided (100%) just by proper time management and by selecting the proper questions

Scoring in exam depends not only on your preparation but also on your mind set, time management, proper selection of questions and precise answering.

Now here are some advice to students

DURING THE EXAM DAY:

Arrive at the exam center 30 minutes early. Find your register number, the allotted room .Compose yourself. Consciously relax and take a few deep breaths. Think of your reward after the EXAM is completed. Be confident! Think positively

1. Remember ,,, P.U. Department has given an opportunity to select proper questions with out wasting your 180 minutes, by providing extra 15 min for reading the question paper. In this 15 min of time go through the question paper and gauze or identify the easy questions which can be solved in lesser time . .while doing this don’t write or mark anything on the question paper except your register number.

2. Start looking at the question paper from question no 1. DECIDE the question IN WHICH U R CONFIDENT OF ANSWERING AND also decide about the questions which  you cannot answer. Solve the problems for which you know the answers partially at the end.

3. Here I have given average time for attending each question but you may follow other known methods also. But the questions in which you are confident should be solved in less time ( say for attending 5 mark question u may need 5-6 min but it should be solved with in 4 min) so, remaining time can be utilized to try some lengthy or known questions

PART A: (1 MARK): MAX TIME: 15-20MINUTES(TEN QUESTIONS)

PART B: (2 MARK): MAX TIME: 40 MINUTES(ANY TEN QUESTIONS)

PART C: (5 MARK): MAX TIME: 56 MINUTES( EIGHT QUESTIONS)

PART D: (10 MARK): MAX TIME: 26 MINUTES(ANY TWO)

PART E: (10 MARK): MAX TIME: 18 MINUTES (ANY ONE)

TOTAL: MAX TIME: 160 MINUTES OUT OF 180 MINUTES

So you have 20 -30 minutes left if you complete problems in the above method. After finishing answering of all required known questions, go through it rapidly. then in the remaining time you can attend extra questions either in part B or in Part C (where you have doubts) or other wise you can revise and recheck the answered one,  once again.

There are many students who will able to complete all prescribed questions within two hour.

7. It always better to attend questions on proof( provided you know well), in sub groups, circles, conics , complex number, vectors,) and It is better to avoid questions which is having figure in circles and conics to save time . Remember your sketch should be clear. You will get ZERO if u don’t write the correct figure especially in derivations in conic section and circles.

For example: In part D if u have questions on a) derivation in conic section b)problem on application of differentiation c) problem on complex numbers , It is better to choose ‘b’ and ‘c’ instead ‘ a’

8.If they asked the questions of type differentiate cosecx, secx, tan^-1x, cot^-1 x, and other inverse trigonometric  functions (IN MY VIEW , ACTUALLY QUESTIONS on DIFFERENTIATING INVERSE FUNCTIONS FROM FIRST PRINCIPLES SHOULD NOT BE ASKED AS PER RECENT SYLLABUS, STILL SOME ARE ASKING ABOUT SUCH QUESTIONS FOR JUST 3 MARKS ,) In that case it is better to leave differentiate from First principle , attempt some other question( from choice,if u know) as it time is consuming, if don’t know any other then u have to attend it.

9. Now take up the questions u know how to do but it take little time to think and solve ,attempt those questions now and if u don’t get the exact solutions just think for 1 min and leave that question and attend other question. don’t waste your valuable time in solving single unknown problem

10. Don’t change your plan at any cost that to in exam hall, which may lead you to confusion

11.If possible , Day before the exam take 2-3 question paper ( take 2march, 1July supplementary exam)and allot 15 min of time and select the questions as stated above (no need to solve the paper just to practice).

12.On the exam day after u wake up imagine u r self as a good math teacher and say with confidence that , in exam i will solve the questions that i have studied.

TRY TO FOLLOW ABOVE METHOD IF U LIKE

WISH U A HAPPY PROBLEM SOLVING

FROM

VASUDEVA KH

VYBHAV G.R.

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HOW TO REVISE MATHEMATICS BEFORE EXAM

How to revise mathematics ?

This is one of the most general question asked by many people

There will no particular method to read ,revise etc .. it depends on the individuals . but there are so many students who were always in confusions even though they are good and brilliant students, this is for those who are in confusion about how to revise ?

Now I will split the question

  • What are things to be remembered day before the exam?

    (A).All trigonometric formulas of 1 puc, which is very important to solve problems in calculus( diff, integrations, complex numbers etc.. ) write down or recall all the formulas with out seeing the book( formulas).

(B). Write down necessary steps or if possible derivations ( conics,circles, complex no., groups,integration etc..)

(C) Write down or remember the procedure to solve the problems on Cramer’s rule,caley hamilton theorem, triple,cross, dot, product, to find the modulus,amp of a complex no.,De moivre theorem, n th root of a complex no ,applications of derivatives, etc..if possible solve 1 problem on each.

    (D) revise the formulas of integration, differentiation, and all the   topics .

    MOST FREQUENTLY ASKED QUESTIONS:

    1. Is there any need to solve the problems once again that u have worked out?

    Ans: Don’t solve all the problems,solve only some standard problems  and try to  recall the  method of answering the problms, and try to solve 1  or 2 problem or different type of problems  from each topic .

    2. Which are the topics that are to be given extra care?

    Ans: Matrices and Determinants, Conic section ,integration, circles,groups,and topics that u r not well confident, (Read the article on first page of Most likely questions in mathematics given in this site.)

    3. Is there any need to solve the past papers day before the exam?

    Ans: Answer is both yes and no, but remember most of pu math problems are from past papers or similar type of problems,so if have time just once again go through it ( maths tutor by bosco )

    4. I have prepared for 60 marks ? shall I read for another 10 -20 marks? Is it possible ? will it be helpfull?

    Ans: If u r prepared for 60 marks ,  make it perfect , then go for extra chapters . But remember it Is bit difficult and our suggestion is don’t study any new topics,  u may loss u r confidence, that’s why Don’t try or read  any new topics the day before the exam.

    BEST OF LUCK

    VAIBHAV G.R.  AND

    KHV, LECTURER IN MATHEMATICS, GPUC, SAGAR

4 DAYS TO GO

4 DAYS TO GO

SUGGESTION TIPS

BY VAIBHAV G.R , EX STUDENT OF OURS,

AND

KHV,LECTURER IN MATHEMATICS


Here are some tips to all who are attending pu exams.

  1. Don’t study any new topics from know , just revise the syllabus / chapters that u have already studied.
  2. Remember even if u r prepared and practiced well with confidence for 75-85 marks in all subjects u will get 65 -75 marks , of course it is mainly for science students ( pcm).
  3. From today say ( in mentally) i will do well in exam!!! i will score good marks ( usually before going to sleep at least for 20 times ). it will helps u to build confidence
  4. Never worry about question paper(that u are going to write this year) ,it may be easy or difficult, thinking and discussing with u r friends about the paper is a waste of time
  5. Be cool( internally) and be positive. remember u have to defeat the problem (exam) and u should’t defeated by them.
  6. Don’t worry about others preparations? like u r friends , relatives etc.
  7. In exam attempt the question(s) that u know very well ( like proof , derivations, standard problems), this will increase u r confidence ( a very imp factors with out confidence even u have studied all the topics!!! u may even feel difficult to get 40-50 marks !!)as u r level of confidence increases u r mind starts opening and u will find answers for the questions . finally ,all these are just suggestions are known to every one,but only few follows it and they will become the toppers. if u believe u r self , if u r practised well, if u know the concepts very well then sauces is u rs.

WISH U GOOD LUCK

HOW TO ATTEND EXAMINATION BY RAVISHANKAR N, Lecturer in Chemistry, Govt.PU College, Sagar

Inevitably exams have become a compulsory norm for the evaluation of knowledge acquired by a student. These exams are a mandatory for the lakhs of students who appear in them every year. In such a scenario, everyone wants to success. Success in these exams brings immense glory and confidence to the individuals, besides giving them a clear cut break into the career line of their choice. Keeping this background in mind, let us explore what it takes to succeed in these exams particularly at the undergraduate level.

You are all motivated students and given sufficient number of hours of your time in studies. I hope all of you are familiar with your subjects syllabus and mastered the material given by the lecturers with an appropriate ‘Study Strategy’.

By this time you might have collected your admission ticket from your college office. Handle it carefully. Go through the instructions given in the admission ticket thoroughly. If there is any discrepancy in offered subjects, name …etc. bring it to the notice of the Principal and get corrected. Note that the examination date and subjects are not in order. For your convenience write your offered subjects and dates along with time in a particular order in a separate sheet and keep it. This helps you to avoid any confusion.

The Night Before the Exam.

At this point, you should have studied all of the relevant topics and associated problems. The night before the exam should be used for a quick review of the more important topics. Chemistry cannot be learned overnight and any attempts at cramming the work will only result in more anxiety during the exam. Have enough sleep in the night. Get up early in the morning. Go through very important Points again as for as possible. Have a comfortable breakfast and enough water. Make sure that your simple calculator can perform all required operations, and preferably replace batteries with a new one before the exam. Carry a bottle of water along with good pens, pencil, scale, calculator, writing pad….etc.

On the examination day

Be there in your examination center half an hour earlier than the scheduled time. (be careful regarding traffic jams in cities ). Make sure of your seating arrangements. After first bell, enter your room and sit in your place. Carry a writing pad necessarily as some time desks provided for you may not be clean and in better shape. After second bell you will be given question paper. You have 15 minutes to read the question paper. Read the directions carefully and go through the question paper thoroughly. You will get an idea of paper. Don’t be panic if you feel it is tough. After 3rd bell you will be allowed to write answers. Work first on the problems or questions you think you can answer correctly. Leave the problems you are very uncertain about for last. In this way, you will ensure that you receive credit for what you know and also you will elevate your confidence level to help you tackle those problems that you find challenging.

You have to manage your time in an efficient way. First answer question in required number in each part. Then only go for writing answers for extra question. Try to show clearly each step you take in solving a problem so that you can check your work more efficiently. After you solve a problem, make sure that you calculated the required quantity and that your value is reasonable. you must be selective in writing answers for extra question. A student who is having a normal speed of writing may need nearly 2 hour and 30 minutes to write answer s for required no of questions. You must attend or write answers for extra questions In the remaining 15 min. you have got still 15 minutes remaining time. Read the answers once and underline the imp. Points in 7 or 8 min. At the end write question numbers of questions that you have not attended.( some time you may get the benefits of marks for out of syllabus question if it is there in your question paper). Finally recheck the reg. no. written, additional sheet no. total no. of pages written and fill the appropriate columns. Make sure that the tag that you have tied is strong enough to hold all the sheets and correct. Hand over the paper to the invigilator. Take your belongings particularly admission ticket with out fail.

Remember, if you have given your best during the last 1.5 – 2 years, you need not fear anything. Ultimately, only effort and not the result is in your hand. Rest is your destiny or luck. So go ahead, give your best and leave the rest !

IInd PUC Biology-reasoning questions-Part 1

Here is the link for Reasoning questions. More will be added soon.

All the very best.

iind-puc-biology-reasoning-questions-1

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