CDS Maths Syllabus – Topic wise Question Paper Analysis CDS Exam (II), 2015 question paper and Topic wise weitghage of marks and distribution of questions.

## Elementary Mathematics: Main Topics of CDS Maths Syllabus –

**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.

**Algebra:**

Basic Operations, simple factors, Remainder Theorem, H.C.F., L.C.M. Theory of polynomials, solutions of quadratic equations, relation between its roots and coefficients (Only real roots to be considered). Simultaneous linear equations in two unknowns-analytical and graphical solutions. Simultaneous linear in equations in two variables and their solutions. Practical problems leading to two simultaneous linear equations or in equations in two variables or quadratic equations in one variable & their solutions. Set language and set notation, Rational expressions and conditional identities, Laws of indices.

**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.

**Geometry:**

Lines and angles, Plane and plane figures, Theorems on (i) Properties of angles at a point (ii) Parallel lines, (iii) Sides and angles of a triangle, (iv) Congruency of triangles, (v) Similar triangles, (vi) Concurrence of medians and altitudes, (vii) Properties of angles, sides and diagonals of a parallelogram, rectangle and square (viii) Circles and its properties including tangents and normals, (ix) Loci.

**Mensuration:**

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.

**Statistics:**

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

## CDS Maths Syllabus – Topic wise Question Paper Analysis

### Elementary Mathematics, CDS Exam (II), 2015 question paper:

(i) **Arithmetic – 33 questions (33 marks)**

- Number system : 7
- Average : 2
- Time and distance: 6
- Time and Work : 3
- Interest : 1
- Percentage: 4
- LCM & HCF : 3
- Ratio: 4
- Factor, Age, Project : 1 each

(ii) **Algebra – 17 questions (17 marks)**

- Basic Operations : 7
- Polynomial equations : 5
- Linear equations: 3
- set : 1
- Series : 1

(iii) **Trigonometry– 11 questions (11 marks)**

- Simple trigonometry : 9
- Height & Distance : 2

(iv) **Geometry– 19 questions (19 marks)**

- Theorems of angles/lines/triangles : 5
- Circles & its properties : 7
- Parallelogram : 2
- Square : 2
- Quadrilateral: 2
- Lines & Angles :1

(v) **Mensuration– 17 questions (17 marks)**

- Area of square/rectangle : 3
- Volume of cuboid : 7
- Volume of cone : 1
- Volume of Cylinder : 3
- Volume of Sphere : 1
- Surface area : 2

(vi) **Statistics – 3 questions (3 marks)**

- Data Tabulation : 3