Grade 10 - Math

Curriculum is designed to provide comprehensive coverage for ICSE, CBSE, IB & IGCSE boards and various Olympiads.

Section 1 - Academic

1. Commercial Mathematics (Compound Interest, Sales Tax and VAT, Banking, Shares and Dividends): Financial mathematics covering compound interest calculations, understanding sales tax and VAT, banking operations, and concepts related to shares and dividends.
2. Matrices: Study of arrays of numbers and their operations (addition, multiplication), and their applications in solving systems of linear equations and transformations.
3. Real Numbers: Exploration of the properties and operations of real numbers, including irrational and rational numbers, and their number line representation.
4. Polynomials: Study of algebraic expressions involving variables raised to whole number powers, including operations, factorization, and solving polynomial equations.
5. Pair of Linear Equations in Two Variables: Methods for solving systems of two linear equations with two variables, including graphical, substitution, and elimination methods.
6. Quadratic Equations: Equations of the form, and methods for solving them, including factoring, completing the square, and using the quadratic formula.
7. Reflections: Understanding the symmetry of shapes and how they change under reflection over a line.
8. Progressions: Study of Arithmetic and Geometric Progressions, including finding general terms and sums.
9. Triangles: Study of the properties and theorems related to triangles, including congruence, similarity, and the Pythagorean theorem.
10. Coordinate Geometry: Analysis of geometric figures using a coordinate system, including distance between points, midpoint, and slope calculations.
11. Introduction to Trigonometry: Basics of trigonometric functions and relationships in right-angled triangles, including sine, cosine, and tangent.
12. Application of Trigonometry: Using trigonometric ratios and identities to solve real-world problems involving angles and distances.
13. Loci: Study of sets of points that satisfy specific conditions, forming geometric shapes or curves (e.g., circles, parabolas).
14. Circles: Properties of circles, including theorems about chords, tangents, arcs, and sectors.
15. Surface Areas and Volumes: Calculation of surface areas and volumes for three-dimensional shapes like cubes, cylinders, spheres, and cones.
16. Statistics: Collection, analysis, and interpretation of data, including measures of central tendency (mean, median, mode) and dispersion (range, variance, standard deviation).
17. Probability: Study of likelihood of events occurring, including basic probability principles, combinations, permutations, and probability distributions.

Section 2 - Olympiad

1. Series Completion, Alpha-Numeric: Identifying patterns and completing sequences involving numbers and letters.
2. Analogy: Finding relationships between pairs of items (words, shapes) and applying the same relationship to other pairs.
3. Classification: Grouping items based on common characteristics or properties.
4. Coding-Decoding: Translating or deciphering coded information using specific rules or patterns.
5. Blood Relation: Determining familial relationships based on given data.
6. Puzzle Test: Solving logical puzzles and brainteasers requiring critical thinking and problem-solving skills.
7. Sequential Output Tracing: Analysing sequences of operations or instructions to determine the output or final result.
8. Direction Sense Test: Solving problems related to directions and navigation to determine positions or routes.
9. Logical Venn Diagrams: Using Venn diagrams to analyse and represent relationships between different sets.
10. Alphabet Test: Problems involving the arrangement, manipulation, or interpretation of letters.
11. Ranking: Determining the order or position of items or individuals based on given criteria or conditions.
12. Mathematical Operations: Applying arithmetic and algebraic operations to solve mathematical problems.
13. Inserting the Missing Character: Identifying and placing the correct character or symbol in sequences to complete patterns or solve problems.

C.B.S.E Exclusions - 1.(Commercial Mathematics), 2.(Matrices), 7.(Reflections), 13.(Loci)