Before starting your preparation for the exam it is advisable to go through the detailed syllabus. Latest UPSC CDS Exam Syllabus 2020 is available here! To perform well in the exam we recommend you to go through all the topics and prepare accordingly. The standard of the papers in Elementary Mathematics will be of Matriculation level. The standard of papers in General Knowledge and English will be approximate of Graduation level.
Check: UPSC CDS Exam Notification 2020Apply Online Before – 19 November 2019
|English||The question paper will be designed to test the candidates’ understanding of English and the efficient use of words.|
|Arithmetic||Number System: Natural numbers, Integers, Rational and Real numbers. Fundamental operations, addition, substraction, 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 inequations in two variables and their solutions. Practical problems leading to two simultaneous linear equations or inequations 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||(i) Simple trigonometric identities (ii) Use of trigonometric tables (iii) 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.|
Start your preparation accordingly. We wish you all the best for your exam!