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# How to Prepare for CDS Elementary Mathematics

Last Updated - June 08, 2017

CDS Examination is scheduled to be conducted on February 5, 2017. CDS Exam pattern comprises of a written exam and personal interview. The written test will be conducted for 3 subjects namely, English, General Knowledge and Elementary Mathematics.

There are 2 papers in CDS that are organized, one for Indian Military Academy, Indian Naval Academy and Air Force and the other for Officer’s Training Academy. Mathematics is an important part of this first paper. Math for CDS exam is most important as you can score high in mathematics if you practice had enough. Have a look at the exam pattern for CDS Examination

SubjectsDurationMaximum Marks
English2 hours100
General Knowledge2 hours100
Elementary Mathematics2 hours100

### CDS Elementary Mathematics Structure

Mathematics exam comprises of 100 questions which have to completed within a time duration of 120 minutes. This paper is design to test your speed and concepts of math calculations. Everything depends on how fast you solve various types of problems. Practice more and more for this paper to score well in UPSC Combined Defence service exam. Aspirants must cover these following topics

### CDS Elementary Mathematics: Question – based Analysis

To crack the CDS Elementary Mathematics with flying colours. Here, we are providing you a pattern of some questions from significant topics which have been repetitively asked year after year. The detailed analysis is mentioned in the table below

#### Mensuration

It cover topics like – Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figures which can be split up into these figures (Field Book), Surface area and volume of cuboids, lateral surface and volume of right circular cones and cylinders, surface area and volume of spheres.

Given below is the analysis of questions of previous year’s papers

The number of questions asked from mensuration 3D is higher than 2D. Thus, one needs to try and focus on them as it can really boost your score and help you clear the average cut-off.

TopicNo. of questions
2014-I2014-II2015-I2015-II2016-I
Mensuration -2D1061047
Mensuration -3D91211133

#### Trigonometry

Sine x, cosine x, Tangent x when fr< x < 90°Values of sin x, cos x and tan x, for x = 0°, 30°, 45°, 60° and 90° Simple trigonometric identities. Use of trigonometric tables. simple cases of heights and distances.

Trigonometry previous year’s paper analysis is discussed below

The maximum number of questions are asked from Trigonometrical Identities. It is of utmost importance and you need to emphasize this topic a little more than the others.

TopicNo. of questions
2014-I2014-II2015-I2015-II2016-I
Trigonometric Rations211 –1
Sum, difference and product formulae43331
Trigonometrical rations of multiple and sub-multiple angles122 –1
Properties of triangles4111 –
Height and distance31321
Trigonometrical Identities56755

#### Arithmetic

Number System-Natural numbers, Integers, Rational and Real numbers. Fundamental operations addition, subtraction, multiplication, division, Square roots, Decimal, fractions. Unitary method, time and distance, time and work, percentages, applications to simple and compound interest, profit and loss, ratio and proportion, variation. Elementary Number Theory- Division algorithm. Prime and composite numbers. Tests of divisibility by 2,3,4,5,9 and 11. Multiples and factors. Factorisation Theorem. H.C.F. and L.C.M. Euclidean algorithm, Logarithms to base 10, laws of logarithms, use of logarithmic tables.

Analysis of questions from Arithmetic

The topic of Divisibility/ Remainder Theorem with an average of around 8-9 questions in almost every year’s question paper. So, you needs to pay extra attention to this topic to earn more marks & improve their score.

TopicNo. of questions
2014-I2014-II2015-I2015-II2016-I
BODMAS/ Simplification23551
Surds & indices12521
Divisibility/ Remainder Theorem811977
LCM and HCF56122

#### Geometry

It cover topics like – Lines & angles, plane figures, theorems on

1. Congruency of triangles

2. Properties of angles, sides and diagonals of a parallelogram, rectangle & square

3. Parallel lines

4. Concurrence of medians & altitudes

5. Properties of angles at a point

6. Similar triangles

7. Loci

8. Circles & its properties including tangents and normals

#### Statistics

Collection and tabulation of statistical data, Graphical representation, frequency polygons, histograms, bar charts, pie charts etc. Measures of central tendency.

### Topic wise analysis of CDS Elementary Mathematics

Important topics and questions regarding CDS Elementary Mathematics is mentioned below

Elementary MathematicsNumber of questions
Arithmetic37
Algebra10
Trignometry14
Geometry15
Mensuration20
Statistics4

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