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Mathmatics

Mathmatics

Because the Rashtriya Military Schools (RMS) and Sainik Schools (AISSEE) entrance exams are strictly objective (OMR-based), the mathematics preparation must pivot entirely toward speed, accuracy, and shortcut techniques.

Here is the exhaustive Mathematics syllabus for both the Class VI and Class IX entry levels

Part I: Class VI Entrance Syllabus

This level tests a student’s grasp of foundational arithmetic and their ability to solve multi-step word problems quickly.

1. Number System & Arithmetic

  • Numbers: Place value, face value, Indian and International systems, rounding off, and Roman numerals.
  • Operations: Addition, subtraction, multiplication, and division. Deep focus on the BODMAS rule.
  • Factors and Multiples: Prime and composite numbers, prime factorization.
  • Divisibility Rules: Complete mastery of rules for 2 through 11 to instantly eliminate wrong options in OMR sheets.
  • HCF and LCM: Application in word problems (e.g., bells tolling together, traffic lights).

2. Fractions & Decimals

  • Types of fractions (proper, improper, mixed, equivalent).
  • Conversion between fractions and decimals.
  • Addition, subtraction, multiplication, and division of fractions and decimals.

3. Commercial Mathematics (High Weightage)

  • Unitary Method: Foundational concept for all commercial math.
  • Ratio and Proportion: Simplification of ratios and dividing quantities.
  • Percentages: Converting fractions/decimals to percentages and vice versa.
  • Profit and Loss: Calculating profit/loss amounts and percentages (Cost Price, Selling Price).
  • Simple Interest: Direct application  and finding the amount.
  • Average: Calculating the mean of given observations.

4. Measurements & Geometry

  • Metric System: Conversion of units for length, mass, and capacity.
  • Time and Temperature: 12/24-hour clock formats, elapsed time, and converting between Celsius and Fahrenheit.
  • Time, Speed, and Distance: Calculating speed, converting km/hr to m/s, and basic train problems.
  • Basic Geometry: Concepts of points, lines, line segments, rays, and types of angles (acute, right, obtuse, straight, reflex).
  • Mensuration: Calculating the perimeter and area of squares and rectangles.
  • Circles: Identifying the center, radius, diameter, and chord.

Part 2: Class IX Entrance Syllabus

This level introduces algebra, advanced geometry, and more complex commercial math. It requires a firm grasp of formulas and algebraic identities.

1. Advanced Number System

  • Rational Numbers: Properties (closure, commutativity, associativity), representation on a number line, and finding numbers between two rational numbers.
  • Squares and Square Roots: Finding roots using prime factorization and long division methods.
  • Cubes and Cube Roots: Properties of perfect cubes and finding cube roots.
  • Exponents and Powers: Laws of exponents , negative exponents, and standard form/scientific notation.

2. Algebra

  • Algebraic Expressions: Addition, subtraction, and multiplication of polynomials.
  • Standard Identities
  • Factorization: Using common factors, regrouping, and standard identities.
  • Linear Equations in One Variable: Solving complex equations and formulating equations from word problems.

3. Advanced Commercial Mathematics

  • Comparing Quantities: Successive discounts, VAT/GST calculation.
  • Compound Interest: Calculating interest compounded annually and half-yearly
  • Direct and Inverse Proportion: Advanced unitary method applications.
  • Time and Work: Problems involving multiple individuals working together or alternately.

4. Geometry & Mensuration

  • Lines and Angles: Intersecting lines, transversal properties (alternate, corresponding, co-interior angles).
  • Polygons and Quadrilaterals: Angle sum property, exterior angles, and properties of parallelograms, rhombuses, rectangles, squares, and kites.
  • Triangles: Congruence, Pythagorean theorem.
  • 2D Mensuration: Area of parallelograms, triangles, trapeziums, and circles
  • 3D Mensuration: Surface area and volume of cubes, cuboids, and right circular cylinders.

5. Data Handling & Statistics

  • Central Tendency: Calculating Mean, Median, and Mode specifically for ungrouped data.
  • Data Interpretation: Reading and constructing frequency distribution tables, bar graphs, double bar graphs, and pie charts.
  • Probability: Calculating the experimental probability of a single event (e.g., coin tosses, rolling dice).