RIMC Mathematics: Syllabus & Study Modules
Descriptive arithmetic, algebra, plane geometry, and 2D/3D mensuration syllabus topics with step-by-step mark distribution for RIMC Stage-I.
Number System, Large Numbers & Whole Numbers
Master Indian and International numeral systems, face and place values, properties of whole numbers, large numbers in practice, and fundamental operations for RIMC Entrance Exam.
Integers & Fundamental Operations
Understand properties of integers, addition and subtraction rules, number line representation, and additive identity for RIMC Entrance Exam.
Prime, Composite Numbers & Divisibility Tests
Master prime & composite numbers, co-primes, twin primes, prime triplets, and divisibility tests (2 to 11, 72, 88, 99) for RIMC Stage-I descriptive exam.
Highest Common Factor (HCF) & Lowest Common Multiple (LCM)
Complete masterclass on HCF & LCM for RIMC Stage-I descriptive exam: prime factorization, continuous division, fractions, bell tolling, and remainder word problems.
Roman Numerals & Number Conversion
Comprehensive masterclass on Roman numerals for RIMC Stage-I: 7 basic symbols, 5 fundamental rules, vinculum, invalid forms, arithmetic, and conversions up to 3999.
Simplification & VBODMAS Rule with Brackets
Master VBODMAS rule, removal of brackets (vinculum, round, curly, box), fraction simplification, and changing of units for RIMC Stage-I descriptive exam.
Fractions: Types, Operations & Comparisons
Comprehensive masterclass on fractions for RIMC Stage-I: proper, improper, mixed, number line representation, comparing, arranging, and descriptive word problems.
Decimal Numbers & Everyday Applications
Master decimal place values, converting decimals to fractions, comparing, addition, subtraction, multiplication, division, and measurement conversions for RIMC.
Rational Numbers: Properties, Operations & Insertion
Master rational numbers for RIMC Entrance Exam: definition p/q (q ≠ 0), positive and negative rationals, standard irreducible form, number line plotting, density property, insertion techniques, distributive/associative laws, and descriptive word problems.
Exponents & Powers (Laws of Indices)
Master laws of exponents, negative indices, prime factorization of composite bases, exponential equations, and scientific notation for RIMC Entrance Exam.
Algebraic Expressions, Identities & Factorization
Master algebraic operations, standard identities (a±b)², a²-b², (a+b+c)², middle-term splitting, polynomial long division, and multi-step factorization for RIMC Entrance Exam.
Linear Equations in One Variable & Applied Word Problems
Master linear equations in one variable for RIMC: transposing terms, cross-multiplication, clearing denominators via LCM, and word problems on ages, two-digit numbers, coins, and perimeter.
Ratio, Proportion & Unitary Method (Direct & Inverse)
Master ratios in simplest form, fourth/third/mean proportionals, continued proportions, direct & inverse variations, and compound unitary chain rules for RIMC Entrance Exam.
Percentage & Its Practical Applications
Master percentage fundamentals, conversions, percentage increase/decrease, successive changes, expenditure/consumption balancing, and marks/population problems for RIMC Entrance Exam.
Profit, Loss, Discount & Commercial Transactions
Master Cost Price, Effective CP with overheads, Selling Price, Marked Price, Trade Discount, successive discounts, equal SP transactions, and dishonest dealer problems for RIMC Entrance Exam.
Simple Interest, Amount & Financial Growth
Master Principal, Rate p.a., Time conversion (months/days/years), Simple Interest, Amount, sum doubling/tripling rules, and multi-period amount differences for RIMC Entrance Exam.
Averages, Arithmetic Mean & Weighted Aggregates
Master Arithmetic Mean, sum invariant laws, inclusion/exclusion/replacement formulas, misread data corrections, cricket averages, and average speed for RIMC Entrance Exam.
Speed, Time & Distance (Trains, Relative Motion & Races)
Master speed-distance-time relations, km/h to m/s conversions, train crossing dynamics (poles, platforms, tunnels), relative speed, early/late time shifts, and race lead problems for RIMC Entrance Exam.
Time & Work, Efficiency & Pipes-Cisterns
Master unitary work rates, combined multi-person output, workers leaving/joining, alternate days, efficiency ratios, wages distribution, and pipes & cisterns for RIMC Entrance Exam.
Units Conversion, Metric System & Temperature Scales
Master metric ladder conversions (length, mass, area, volume, capacity), hectare/are relations, and Celsius-Fahrenheit-Kelvin temperature scales for RIMC Entrance Exam.
Geometry Fundamentals: Points, Lines, Angles & Polygons
Master points, line segments, rays, parallel & intersecting lines, angle types, complementary/supplementary pairs, transversals, and regular polygons for RIMC Maths 2026.
Triangles: Classification, Properties, Congruence & Pythagorean Theorem
Master triangle classification (side-wise and angle-wise), angle sum theorem, exterior angle property, triangle inequality theorem, Pythagoras theorem, and congruence criteria for RIMC Maths 2026.
Circles: Properties, Chords, Circumference & Arc Length
Master circle terminology (radius, diameter, chord, secant, tangent, arc, sector, segment), circumference C = 2πr, semicircle perimeter, arc length l = (θ/360°) × 2πr, and wheel revolution problems for RIMC Maths 2026.
Perimeter & Area of Plane Figures and Field Book Surveying
Master perimeter and area of squares, rectangles, parallelograms, rhombuses, trapeziums, triangles (Heron's formula), pathways/borders, and Field Book land surveying for RIMC Maths 2026.
3D Mensuration: Volume & Surface Area of Cube and Cuboid
Master volume, total surface area, lateral surface area (area of 4 walls), space diagonal, water reservoirs, melting/recasting, and brickwork capacity for RIMC Maths 2026.
Data Handling, Pictographs, Tally Charts & Number Patterns
Master recording and organization of data, frequency tables, tally marks, pictographs with scale keys, bar graphs, arithmetic/geometric number patterns, triangular and square numbers for RIMC Maths 2026.