Union Public Service Commission (UPSC) organizes National Defence Academy & Naval Academy (NDA &NA) Examination. Through NDA Exam, candidates get admission to the courses at National Defence Academy and Naval Academy. UPSC organizes NDA Exam twice in a year, NDA Exam (I) mostly in the month of April, while NDA & NA (II) in the month of September. This year NDA Exam (I) 2016 will be held on 17th April 2016.
Here we are trying to give you the Analysis of Mathematics (Paper I) to understand the importance of the topics which will give you a clear idea to prepare for this subject in a better way.
Mathematics consists of 120 questions, total 300 marks and duration is two and half hours. The Paper will be objective in nature which will be available in both Hindi & English language.
Topic wise distribution of questions from the year 2007 to 2010
Question Paper 
Subject 
2010 (II) 
2010(I) 
2009(II) 
2009(I) 
2008(II) 
2008(I) 
2007(II) 

Paper I 
Algebra 
33 
36 
30 
36 
40 
40 
38 
Arithmetic 
08 
07 
09 
06 
10 
08 
10 

Trigonometry 
16 
14 
20 
20 
25 
27 
26 

Menstruation 
04 
05 
01 
00 
13 
12 
13 

Geometry 
16 
18 
14 
16 
05 
05 
05 

Statistics 
06 
05 
04 
04 
02 
03 
03 

Logarithm 
02 
01 
04 
03 
05 
05 
04 

Probability 
05 
06 
04 
08 
05 
05 
06 

Set Theory 
16 
14 
19 
11 
05 
05 
05 

Vector 
06 
07 
07 
07 
05 
05 
05 

Matrix 
08 
07 
08 
09 
05 
05 
05 
2015
Algebra: 20, Matrices and Determinates: 8, Trigonometry: 12, Analytical Geometry of Two and Three Dimensions: 20, Differential Calculus: 12, Integral calculus and Differential Equations 26, Vector Algebra: 8, Statistics and Probability: 14
Division of each topic with the level of difficulty and methods of preparing:
1.Algebra: if we look at the chart above it is clearly shows that algebra topic is very much important, so the first priority should be given to understand the concepts of Algebra, its basic properties etc.
2.Matrices and Determinates: Though weight age of this topic is less but still 78 questions are asked each year. For ex: Consider the following statements in respect of symmetric matrices A and B.
(A)AB is symmetric
(B)A2 + B2 are symmetric.
3.Trigonometry: candidates who are preparing cannot ignore this topic because according to the chart it is the second most important which includes good percentage of questions each year. How to use the application of trigonometry should be learned.
4.Analytical Geometry of two and three dimensions: If your basic concepts are clear about the equations and theorems then scoring in this topic is not that difficult.
5.Differential Calculus: The Best way is to know the formulae, theoretical knowledge of graphs & functions and have a calculus way to solve most of the graph problems e.g. finding the minimum value of a function, or trying to locate the roots of quadratic equations.
6.Integral Calculus and Differential Equations: 12 questions came from this topic in 2015 and on an average according to the analysis 8 10 questions is expected this year from the area of curves, application of derivatives etc.
7.Vector Algebra: Important is scalar product of vectors and vectors product of vector.
8.Statistics and Probability: Many questions are asked level of them varies each year. Some questions are like:
Question: There are 4 letters and 4 directed envelopes. These 4 letters are randomly inserted into the 4 envelopes. What is the probability that the letters are inserted into the corresponding envelopes?
(A)11/12
(B)23/24
(C)1/24
(D)None of the above.