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Subjects

Class 10 Mathematics

Mathematics develops logical thinking, quantitative reasoning, and the ability to represent and solve problems using numbers, algebra, geometry, statistics, and related concepts. Students build understanding through definitions, rules, formulas, worked examples, diagrams, and step-by-step methods, while learning to check solutions and apply ideas in unfamiliar situations. The subject pages organise chapters and topics for Classes 9–12, making it easier to study concepts in sequence or revisit specific areas. Topic-based MCQs support practice and quick revision, while clear answers and explanations show the reasoning behind each option, help identify mistakes, and strengthen accuracy before tests and examinations.

1

Sets

समुच्चय

In Class 11 Mathematics, the chapter Sets introduces collections of well-defined objects and ways to represent them. Students learn about empty, finite, infinite, equal and subset relationships, along with power sets and the universal set. The chapter uses Venn diagrams to visualize sets and explains operations such as union, intersection, difference and complement, including important properties of complements.

3,719 questions
2

Real Numbers

वास्तविक संख्याएँ

In Class 10 Mathematics, the chapter Real Numbers develops number concepts through Euclid’s Division Lemma, prime factorisation, and the Fundamental Theorem of Arithmetic. Students use prime factorization to find HCF and LCM, examine rational and irrational numbers, and understand proofs of the irrationality of √2, √3, and √5. The chapter also explains how the prime factors of a denominator determine whether a rational number has a terminating or recurring decimal expansion.

4,235 questions
3

NUMBER SYSTEMS

संख्या पद्धतियाँ

This unit develops understanding of real numbers through the Fundamental Theorem of Arithmetic and selected proofs establishing the irrationality of specified numbers.

0 questions
4

Polynomials

बहुपद

In Class 10 Mathematics, the chapter Polynomials develops an understanding of polynomials in one variable and their zeroes. Students explore the geometrical meaning of zeroes through graphs and learn the relationship between zeroes and coefficients of quadratic polynomials. The chapter also covers forming a quadratic polynomial when its zeroes are known, strengthening algebraic reasoning and graph-based interpretation.

3,017 questions
5

ALGEBRA

बीजगणित

This unit develops algebraic methods for polynomials, simultaneous linear equations, quadratic equations and arithmetic progressions, including graphical, symbolic and contextual problem-solving.

0 questions
6

Pair of Linear Equations in Two Variables

दो चरों वाले रैखिक समीकरणों के युग्म

In Class 10 Mathematics, the chapter Pair of Linear Equations in Two Variables introduces two linear equations considered together and the solutions that satisfy both. Students learn to represent equations graphically, interpret the intersection of lines, and determine whether a pair has one solution, no solution, or infinitely many solutions. The chapter also develops algebraic solution techniques through substitution and elimination methods for solving practical and numerical problems.

1,800 questions
7

Quadratic Equations

द्विघात समीकरण

In Class 10 Mathematics, the chapter Quadratic Equations introduces equations of the form ax² + bx + c = 0 and explains their roots. Students learn to solve quadratic equations by factorisation, completing the square, and the quadratic formula. The chapter also examines how the discriminant determines the nature of roots and applies quadratic equations to suitable word problems and everyday mathematical situations.

2,952 questions
8

GEOMETRY

ज्यामिति

This unit develops similarity of triangles and tangent properties of circles through specified proofs, statements without proof and applications to geometric problems.

0 questions
9

Arithmetic Progressions (AP)

समांतर श्रेणियाँ (एपी)

In Class 10 Mathematics, the chapter Arithmetic Progressions (AP) introduces number sequences with a constant common difference between consecutive terms. Students learn to identify an AP, determine its common difference, find the nth term, and calculate the sum of the first n terms. The chapter also applies these formulas to word problems involving regularly increasing or decreasing quantities, helping students connect algebraic patterns with practical situations.

2,411 questions
10

TRIGONOMETRY

त्रिकोणमिति

This unit introduces trigonometric ratios and identities and applies them to determine heights and distances in restricted real-life configurations.

0 questions
11

Triangles

त्रिभुज

In Class 10 Mathematics, the chapter Triangles develops the idea of similar figures and the criteria used to establish similarity between triangles. Students study the Basic Proportionality Theorem and its converse to relate parallel lines and proportional segments in a triangle. The chapter also applies similarity to solve geometric problems and introduces the Pythagorean Theorem for understanding the relationship among the sides of a right-angled triangle.

1 questions
12

MENSURATION

क्षेत्रमिति

This unit applies formulae for areas of circular regions and for surface areas and volumes of combinations of specified three-dimensional solids.

0 questions
13

Coordinate Geometry

निर्देशांक ज्यामिति

This Class 10 Mathematics chapter introduces Coordinate Geometry through the Cartesian plane and ordered pairs. Students learn to locate points, interpret coordinates, and apply the distance formula to find the length of a line segment. The chapter also explains the section formula and midpoint formula for dividing a line segment in a given ratio, along with the area of a triangle formed by three points. These ideas help students connect algebraic calculations with geometric shapes and solve problems involving points, distances, and regions on a plane.

0 questions
14

STATISTICS AND PROBABILITY

सांख्यिकी और प्रायिकता

This unit develops calculation of central tendencies for grouped data and the use of classical probability in simple everyday-event problems.

0 questions
15

Introduction to Trigonometry

त्रिकोणमिति का परिचय

In Class 10 Mathematics, Chapter Introduction to Trigonometry introduces trigonometric ratios for acute angles in a right-angled triangle. Students learn how sine, cosine, and tangent relate the sides of a triangle, calculate their values for 30°, 45°, and 60°, and use the identity sin² A + cos² A = 1 to prove and apply simple relationships between ratios.

2 questions
16

Some Applications of Trigonometry

त्रिकोणमिति के कुछ अनुप्रयोग

In this Class 10 Mathematics chapter, students apply trigonometric ratios such as sine, cosine and tangent to solve practical problems involving heights and distances. They learn to interpret angles of elevation and depression, draw suitable right-triangle diagrams, choose the correct ratio, and calculate unknown heights or distances from given measurements. The chapter develops spatial reasoning, accurate representation of real-life situations, and confidence in using trigonometry for measurement-based problem solving.

0 questions
17

Circles

वृत्त

In this Class 10 Mathematics chapter, students explore the properties of circles and the relationships between their parts, including chords, arcs, radii, and tangents. They learn key results about tangents drawn from an external point, understand why these theorems hold through logical reasoning, and apply them to solve geometric problems. The chapter strengthens proof-writing, diagram interpretation, and the use of geometric relationships in unfamiliar situations.

0 questions
18

Areas Related to Circles

वृत्तों से संबंधित क्षेत्रफल

In this Class 10 Mathematics chapter, students explore how to calculate the circumference and area of a circle and apply these ideas to arcs, sectors, and segments. They learn to use central angles, proportions, and standard formulas to find the area of shaded and composite figures formed with circles or parts of circles. Worked reasoning and practical-style problems help students interpret diagrams, choose suitable methods, and express answers accurately using appropriate units.

0 questions
19

Surface Areas and Volumes

पृष्ठीय क्षेत्रफल और आयतन

In Class 10 Mathematics, the chapter Surface Areas and Volumes develops methods for calculating the surface area and volume of common three-dimensional shapes. Students apply formulas for solids such as cylinders and solve problems involving combined solids by identifying their component parts. The chapter also builds skill in selecting appropriate units, interpreting dimensions, and using geometric reasoning in practical measurement situations.

1 questions
20

Statistics

सांख्यिकी

This Class 10 Mathematics chapter, Statistics, introduces students to the collection, organization, presentation, and interpretation of numerical data. They learn to work with grouped and ungrouped data, construct and read frequency distributions, and calculate measures of central tendency such as mean, median, and mode. The chapter also develops understanding of cumulative frequency and ogives, helping students analyze real-life information, compare data sets, and draw clear conclusions from tables and graphs.

0 questions
21

Probability

प्रायिकता

In Class 10 Mathematics, the chapter Probability introduces the classical approach to measuring the likelihood of events when outcomes are equally likely. Students identify possible outcomes, determine favourable outcomes, and calculate the probability of a specified event using simple examples. The chapter also develops clear reasoning about events, outcomes, and probability values between zero and one.

2 questions
22

Arithmetic Progressions

समांतर श्रेणियाँ

In this Class 10 Mathematics chapter, students explore arithmetic progressions as number sequences with a constant difference between consecutive terms. They learn to identify the first term and common difference, find the nth term using the standard formula, and calculate the sum of the first n terms. The chapter also develops skills for solving practical and word problems involving patterns, series, and unknown terms, while strengthening algebraic reasoning and clear step-by-step problem solving.

0 questions

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