A simple Application of Fermat's Theorem to find the remainder of a large number upon dividing by some positive integer, Click here to download
Solved Problems for Indian Statistical Institute (B. Math and B. Stat), Chennai Mathematical Institute, JEE Main & Advance ( IIT ) and for Olympiads ( RMO and INMO ). Get Solved problems for boards ( CBSE and ISC Mathematics Papers) along with board papers.
Monday, September 10, 2012
Wednesday, September 5, 2012
Pigeon Hole Principle and Divisibility
Here is a good problem Pigeon Hole Principle and Divisibility of integers. These type of problems are important for Olympiads, Indian Statistical Institute (ISI) and Chennai Mathematical Institute (CMI) .
Get the pdf file here. Please leave your comment.
Get the pdf file here. Please leave your comment.
Tuesday, August 28, 2012
Problem on Functional Equation
Here is a good problem of functional Equation where the form of the function is unknown and you have to find the value of the derivative of the function at some given point. What will be given is a equation which the function is satisfying along with some other values of the function or the derivatives. These type of problems are important for Indian Statistical Institute (ISI) , Chennai Mathematical Institute (CMI) or even IIT.
Here is the link to the problem.
Here is the link to the problem.
Sunday, October 23, 2011
ICSE and CBSE
Problems and Notes on Coordinate Geometry for ICSE and CBSE.Click here to download
Test on Heights and Distance, Reflection and Symmetry for ICSE and CBSE
http://kolkatamaths.yolasite.com/resources/Test_Height_Symmetry_Reflection.pdf
FREE Trigonometry problems, Trigonometric Functions, Trigonometric Identities & Trigonometry Word Problems on http://kolkatamaths.yolasite.com/ix-x.php
Test on Heights and Distance, Reflection and Symmetry for ICSE and CBSE
http://kolkatamaths.yolasite.com/resources/Test_Height_Symmetry_Reflection.pdf
FREE Trigonometry problems, Trigonometric Functions, Trigonometric Identities & Trigonometry Word Problems on http://kolkatamaths.yolasite.com/ix-x.php
Thursday, October 20, 2011
Test Paper
Test Sheet on Infinite Series and Properties of Triangles for WBJEE,AIEEE and IIT. Chapters Included Properties of Triangles,Infinite Series,logarithmic,Exponential & Binomial.
Download here
Download here
Monday, September 19, 2011
Heights and Distance
Selected problems on heights and distance for class X (CBSE and ICSE). Click here to download
Or scan the image below with your phone camera
QR-reader is required to be installed in phone
Monday, September 5, 2011
CPT maths
Problems for CPT maths on http://kolkatamaths.yolasite.com/cpt.php. We offer best CPT maths tuition in kolkata at nominal fee interested candidate can call us at 09038126497.
Saturday, August 20, 2011
Indian Statistical Institute
I have started a new page based on Indian Statistical Institute exam for B.Stat and B. Math. Most of the problems are previous years paper of ISI, for these type of question it is difficult to get solutions I hope this section will be helpful to students. Problems for ISI and CMI
Tuesday, August 16, 2011
Sunday, August 14, 2011
Thursday, August 11, 2011
Tangent and Normal
Solved Problems on Tangent and Normal mainly for IIT,WBJEE and AIEEE. Click here to download For more problems visit http://kolkatamaths.yolasite.com/xi-xii.php
Saturday, August 6, 2011
Quadratic Equation
Solved Problems on Quadratic Equation for CBSE and ICSE (IX and X). Click here to download for more problems click here
Sunday, July 31, 2011
Solved Differential Equation Problems
Solved Differential Equation Problems
30 solved Differential Equation Problems for Class XI-XII for ISC, CBSE, WBHS, AIEEE, IIT boards students and other boards of similar standars. Click here to downlaod for more problems visit the download page. Last 5 years problems of AIEEE and WBJEE solved on Differentail Equation( Variable Separable, Homogeneous, Linear and Second order.
Friday, July 15, 2011
Solved Trigonometric Problems
30 solved Trigonometry Problems for Class X and IX for ICSE and CBSE boards students and other boards of similar standards. Click here to downlaod for more problems visit the download page.
Another set of Solved Trigonometry Problems
http://kolkatamaths.yolasite.com/resources/TRIGONOMETRY_X_2019_09_26.pdf
http://mathsvinu.blogspot.in/2014/09/trigonometrical-identities-cbse.html
https://youtu.be/a04WT2gtiVA
Post by Maths.
For more solved and unsolved problems visit the page http://kolkatamaths.yolasite.com/ix-x.php ( CBSE and ICSE )
For more solved and unsolved problems visit the page http://kolkatamaths.yolasite.com/ix-x.php ( CBSE and ICSE )
Thursday, July 14, 2011
Solved Problems on Definite Integrals
Few difficult problems on Definite Integrals which I have solved partially. Click here to download These problems are important for understanding the application of the properties of the definite integrals which are commonly asked in boards and exams like IIT, AIEEE, WBJEE and other exams of same nature.
Wednesday, July 13, 2011
ISC Maths Specimen Paper 2012
I have published the ISC Maths Specimen Paper 2012 on my site follow the link to download it.
Solved ISC Maths Paper 2015 Download Link
Solved CBSE Maths Paper 2015 Download Link
JEE Main 2015 Solved Maths Paper Download Link
Solved Problems from entrance exams of B.Math and B.Stat conducted by ISI ( Indian Statistical Institute ) http://kolkatamaths.yolasite.com/problems-for-isi.php
Tuesday, July 12, 2011
Harder Problems on Integration for IIT,WBJEE,AIEEE
Harder Problems on Integration for IIT,WBJEE,AIEEE and other competitive exams. Click Here To Download
Mock Test Paper on Differentiation, A.P and G.P for for IIT,WBJEE,AIEEE,WBHS,CBSE,ISC,KIIT and other engineering competitive exams across India. Click Here To Download
Solved Problems: ISI ( Indian Statistical Institute ) for the courses B.Stat and B.Math
"CLICK HERE"
Mock Test Paper on Differentiation, A.P and G.P for for IIT,WBJEE,AIEEE,WBHS,CBSE,ISC,KIIT and other engineering competitive exams across India. Click Here To Download
Solved Problems: ISI ( Indian Statistical Institute ) for the courses B.Stat and B.Math
"CLICK HERE"
Monday, June 6, 2011
Model Paper
Model Paper for B.Sc Maths Hons. 1st year students from various topics like algebra,geometry and analysis ISC Board Maths paper for the last 5 years is also available with sample papers and guess papers visit http://kolkatamaths.yolasite.com/board-papers.php ISC maths paper for 2011,2010,2009,2008,2007 and CBSE class XII Maths paper for previous year is also available.
Thursday, May 12, 2011
CBSE SAMPLE PAPER
CBSE Maths Sample Paper for class XII. Special care has been taken for preparing the paper, pattern and syllabus has been strictly followed. Meant for student preparing for 2012+ board exams. Download
CBSE BOARD PROBLEMS
CBSE BOARD PROBLEMS & PROBLEMS FROM ENTRANCE EXAM ON SYSTEM OF LINEAR EQUATION & MATRICES Download For more problems visit http://kolkatamaths.yolasite.com/xi-xii.php
Friday, May 6, 2011
Determinants
Fact:: A determinant is a function f:M----->R where M is the set of all square matrices! It is very easy to see that the function is not injective!!
Board Problems on Determinats of CBSE and ISC class XII. Download here
Board Problems on Determinats of CBSE and ISC class XII. Download here
KIITEE-2011
Solved Maths Paper of KIITEE-2011 conducted by KIIT University for B.tech/ B.Tech and M.Tech Dual Degree Download
Author-Vinod Singh
Education : M.Sc Pure Mathematics'09,( Calcutta University ) First Class.
B.Sc Mathematics Honours'07,(St. Xavier's kolkata) First Class.
Special interest in Algebra, Algebraic and Analytical Number Theory,
Cryptography, Algebraic Topology and Geometry.
Best of luck!
Call us on +91-9038126497
No part of this publication may be reproduced, stored or transmitted in any form or by any means – electronic, mechanical, photocopying, recording or otherwise – without written permission from the Author
Tags: MCQ, Short answer type question, solved problems, KIIT, solved paper 2011, KIITEE-2011, MATHEMATICS
Tuesday, April 26, 2011
Problems for WBJEE and AIEEE
MCQ and Short Type Questions for various topics ( relation, functions, derivative, matrices, determinants, trigonometry, inverse, circular Co-ordinate, geometry, two-dimension, tangent, normal) Download
Tuesday, April 19, 2011
LIMITS
Problems on LIMIT for entrance exams like ISI,IIT,WBJEEE,AIEEE and other various engineering entrance exams.Click here to download
Saturday, April 16, 2011
Advanced Thinking Skills
Question for #ISI #IIT, #B.Math. Hons. Admission Test and Regional Mathematics #Olympiad http://kolkatamaths.yolasite.com/xi-xii.php with solutions
Thursday, April 14, 2011
IITJEE Maths
IIT-JEE detail solutions for the Maths paper -2011 http://kolkatamaths.yolasite.com/board-papers.php
Rational Functions
Integration of some important rational functions with hints and solutions for IIT,WBJEE,B.Sc 1st year students
Sunday, April 10, 2011
Saturday, April 9, 2011
Friday, April 8, 2011
Integration
MCQ and short answer type question for IIT,WBJEE,AIEEE and other similar exams http://kolkatamaths.yolasite.com/xi-xii.php
Monday, March 28, 2011
Wednesday, March 9, 2011
Question Paper B.Sc Mathematics Hons
B.Sc Mathematics Hons. First year, Real Analysis, Linear Algebra, Vector analysis, Two Dimension Geometry
http://kolkatamaths.yolasite.com/b-tech-be-bba-bca.php
http://kolkatamaths.yolasite.com/b-tech-be-bba-bca.php
Saturday, January 29, 2011
Problems for RMO, Indian Statistical Institute entrance
Few selected problems to drill your brain with ideal hints for olympiad and entrance tets of ISI in B.Math or B.Stat. courses in INDIA
Tuesday, January 25, 2011
Olympiad
http://indianolympiad.blogspot.in/ for preparation in RMO and INMO
National Board for Higher Mathematics
Government of India.
Mathematics Olympiad
Mathematics Olympiad activity on a national level has been one of the major initiatives
of NBHM (National Board for Higher Mathematics) since 1986. The activity aims to spot
mathematical talent among High School children. NBHM, with Homi Bhabha Centre for
Sciencec Education (HBCSE), also has taken on the responsibility of selecting and training
the Indian team for the International Mathematical Olympiad every year.
For the purpose of the Olympiad contests, the country has been divided in to about 25 regions.
The selection process for participation in the International Mathematical Olympiad
(IMO) consists of the following stages:
Stage 1: Regional Mathematical Olympiad (RMO): RMO is currently held on the
first Sunday of October each year in each of the regions in the country. The Regional coordinator
each region holds the charge of conducting RMO in the region. All school students
from Class XI are eligible to appear in RMO. Students from Class XII may also appear
in RMO, but the number of students selected from Class XII is at most 6. Exceptionally
brilliant students from lower standards may also appear for RMO subject to the approval
of the Regional Coordinator. RMO is a 3-hour written test containg 6 or 7 problems. On
the basis of the performance in RMO, students are selected for the second stage.
The Regional Coordinators may charge a nominal fee to meet the expenses in organising
the contest.
Stage 2: Indian National Mathematical Olympiad (INMO): INMO is currently
held on the third Sunday of January each year at the regional centres in all regions. Only
those students who are selected in RMO are eligible to appear in INMO. This contest is
a 4-hour written test. The evaluation of these papers is centralised, and is undertaken by
the IMO Cell of NBHM. The top 75 contestants in INMO receive Merit Certificates.
Stage 3: International Mathematical Olympiad Training Camp (IMOTC): The
top 30-35 INMO certificate awardees are invited to a month long training camp inMay/June
each year. The training camp is organised by HBCSE, Mumbai. The number of students
from Class XII who are selected for IMOTC is at most 6. In addition to these 35 students,
a certain number of INMO awardees of previous year(s) who have satisfactorily undergone
postal tuition over the year are also invited to a second round of training. A team of six
students is selected from the combined pool of junior and senior batch participants, based
on a number of selection tests conducted during the camp, to represent India in the International
Mathematical Olympiad.
Stage 4: International Mathematical Olympiad (IMO): The six member team selected
at the end of IMOTC, accompanied by a leader and a deputy leader represent India
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at IMO, that is normally held in July each year in one of the chosen for the years IMO.
IMO consists of two 4-and-a-half hour tests held on two consecutive days. The normal
schedule between departure and return of the team takes about two weeks. The students
of Indian team who win gold, silver and bronze medals at IMO receive from NBHM a cash
prize of RS. 5000/-, Rs. 4000/- and Rs. 3000/- respectively. MHRD (Ministry of Human
Resource Development) finances international travel of the 8-member Indian delegation
to IMO, while NBHM (DAE) finances the entire in-country programme and takes care of
other expenditure connected with international participation. The six students representing
India at IMO automatically qualify for Kishore Vaigyanik Protsahan Yojana (KVPY)
scholarship (Rs 3000/- per month and some contingency) instituted by Department of Science
and Technology, Government of India.
Syllabus for Mathematical Olympiad: The syllabus for Mathematical Olympiad (regional,
national and international) consists of pre-degree college mathematics. The difficulty
level increases from RMO to INMO to IMO. Broadly the syllabus for RMO and
INMO is: Algebra (basic set theory, principle of Mathematical Induction,inequalities (AMGM
and Cauchy-Schwarz), theory of equations (remainder theorem, relation between roots
and coefficients, symmetric expressions in roots, applications of the Fundamental theorem
of algebra and its applications), functional equations); Geometry (similarity, congruence,
concurrence, collinearity, parallelism and orthogonality, tangency, concyclicity, theorems
of Appollonius, Ceva, Menelaus and Ptolemy, special points of a triangle such as circumcentre,
in-centre, ex-centres, ortho-centre and centroid); Combinatorics (Basic counting
numbers such as factorial, number of permutations and combinations, cardinality of a
power set, problems based on induction and bijection techniques, existence problems, pigeonhole
principle); Number theory (divisibility, gcd and lcm, primes, fundamental theorem
of arithmetic (canonical factorisation), congruences, Fermat’s little theorem, Wilson’s theorem,
integer and fractional parts of a real number, Pythagorean triplets, polynomials with
integer coefficients). An idea of what is expected in mathematical olympiad can be had
from the earlier question papers (see http://www.isid.ac.in/˜ rbb/olympiads.html) and the
following books:
1. Problem Primer for Olympiads, by C R Pranesachar, B J Venkatachala and C S
Yogananda (Prism Books Pvt. Ltd., Bangalore).
2. Challenge and Thrill of Pre-College Mathematics, by V Krishnamurthy, C R Pranesachar,
K N Ranganathan and B J Venkatachala (New Age International Publishers,
New Delhi).
3. An Excursion in Mathematics, Editors: M R Modak, S A Katre and V V Acharya
(Bhaskaracharya Pratishthana, Pune).
4. Problem Solving Strategis, Arthur Engel (Springer-Verlag, Germany).
5. Functional Equations, B J Venkatachala (Prism Books Pvt. Ltd., Bangalore).
6. Mathematical Circles, Fomin and others (University Press, Hyderabad).
Reference to many other interesting books may be found in An Excursion in Mathematics.
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Nurture Programme: The INMO awardees who choose Mathematics as one of the subjects
in their undergraduate studies are eligible for a scholarship by NBHM (which is at
present Rs 1500/= per month) throughout their undergraduate studies. If they further
pursue their studies to masters, they continue to get scholarship (enhanced). Even the students
who do not pursue Mathematics in their undergraduate studies are eligible for certain
benefits under a novel programme instituted by NBHM, called Nurture Programme. Under
this programme, each batch of students (selected from among the INMO awardees through
their responses to a few sets of postal problems) is assigned to an institution. The coordinator
in that institution gives out some reading material which the students can go through
during their leisure time while pursuing their undergraduate studies. At the end of each
year, during summer, they are invited to that institution for a contact programme with
working Mathematicians. Based their performance, they may be recommended to a scholarship
given by NBHM. This programme continue for four years. Thus, even those who
pursue under-graduate studies in some other discipline can still get training in Mathematics
and use it in their further pursuit of knowledge.
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