RBSE Praveshika Mathematics study guide
RBSE Praveshika Mathematics · Work through your exam, one topic at a time.
Praveshika is the first stage of the Hindi-medium secondary mathematics pathway offered by the Rajasthan Board of Secondary Education (RBSE) through its Praveshika examinations, which are commonly grouped with the board's Sanskrit and traditional-stream qualifications. Candidates usually reach it after finishing upper-primary schooling and use it either as a route back into formal study or as a stepping stone toward the Varishtha Upadhyay level and, eventually, senior secondary equivalence. The RBSE Praveshika Mathematics study guide has 9 sections and about 2,662 words.
01Number System and Real Numbers
This domain checks whether you can classify numbers, apply Euclid’s division lemma and algorithm, use the Fundamental Theorem of Arithmetic, and connect HCF and LCM with decimal expansions and irrationality proofs. Euclid’s division lemma: for integers a and b 0, there exist unique q and r with a = bq + r and 0 ≤ r < b.
343 words, about 2 min02Polynomials and Factorization
Polynomial questions test degree, coefficients, zeroes, the remainder and factor theorems, and factorisation by splitting the middle term or using identities. A polynomial of degree n has at most n real zeroes.
317 words, about 2 min03Linear Equations in Two Variables
This domain tests writing equations in the form ax + by + c = 0, drawing their graphs, solving pairs by substitution or elimination, and deciding whether a system is consistent, inconsistent, or dependent. A linear equation in two variables has infinitely many solutions; its graph is a straight line.
308 words, about 2 min04Coordinate Geometry
Coordinate geometry checks plotting points, identifying quadrants, and using the distance, midpoint, section and area formulas on the Cartesian plane. A point is written (x, y); x is the horizontal coordinate and y is the vertical coordinate.
263 words, about 1 min05Euclidean Geometry: Triangles and Circles
This domain tests triangle congruence and similarity, the Basic Proportionality Theorem, Pythagoras’ theorem, and standard circle theorems involving chords, angles, cyclic quadrilaterals and tangents. Congruence criteria: SSS, SAS, ASA and RHS.
307 words, about 2 min06Mensuration: Areas and Volumes
Mensuration tests perimeter and area of plane figures, surface areas and volumes of solids, and combinations such as a cylinder with hemispherical ends. Triangle area = ½ × base × height; Heron’s formula uses s = (a + b + c)/2 and area = √[s(s − a)(s − b)(s − c)].
276 words, about 1 min07Trigonometry and Its Applications
This domain tests trigonometric ratios, standard-angle values, identities, and solving height-and-distance problems using angles of elevation and depression. In a right triangle: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = opposite/adjacent.
278 words, about 1 min08Statistics and Probability
Statistics questions test mean, median and mode for grouped data, including the median class formula. Probability questions test classical probability for equally likely outcomes and simple complementary events.
300 words, about 2 min09Surds, Indices and Commercial Mathematics
This domain combines surds and rationalisation, laws of indices, and commercial arithmetic including percentage, profit and loss, simple interest and compound interest. Surds can be added or subtracted only when they have the same radical part: 3√5 + 2√5 = 5√5.
270 words, about 1 min