10th Maths Practice Questions - Chapter-wise MCQs | MathsStudent

10th Maths Practice Questions

Chapter-wise Multiple Choice Questions for Comprehensive Preparation

Master 10th Class Maths with Practice Questions

Comprehensive collection of chapter-wise multiple choice questions for 10th class mathematics. Perfect for exam preparation, concept revision, and self-assessment.

Cover all important topics from the 10th class maths syllabus with our carefully curated practice questions.

How to Use These Practice Questions

1 Select a Chapter

Choose the chapter you want to practice from our comprehensive collection of 10th maths topics.

2 Attempt Questions

Solve the multiple choice questions to test your understanding of concepts and problem-solving skills.

3 Check Your Answers

Review your answers with detailed explanations to understand mistakes and learn correct approaches.

4 Track Progress

Regular practice helps identify weak areas and track improvement across different chapters.

Real Numbers MCQs

Practice questions on Euclid's division lemma, HCF, LCM, irrational numbers, and decimal expansions.

Practice Questions

Sets MCQs

Test your understanding of sets, subsets, Venn diagrams, and operations on sets with these practice questions.

Practice Questions

Polynomials MCQs

Practice questions on zeros of polynomials, relationship between zeros and coefficients, and division algorithm.

Practice Questions

Pair of Linear Equations MCQs

Solve questions on graphical and algebraic methods for solving pairs of linear equations in two variables.

Practice Questions

Quadratic Equations MCQs

Practice solving quadratic equations by factorization, completing the square, and using quadratic formula.

Practice Questions

Progressions MCQs

Test your knowledge of arithmetic progressions (AP) with questions on nth term, sum, and applications.

Practice Questions

Coordinate Geometry MCQs

Practice questions on distance formula, section formula, and area of triangles using coordinate geometry.

Practice Questions

Similar Triangles MCQs

Test your understanding of similarity criteria, basic proportionality theorem, and applications of similarity.

Practice Questions

Tangent and Secants MCQs

Practice questions on tangents to a circle, number of tangents, and properties of tangents and secants.

Practice Questions

Mensuration MCQs

Solve problems on surface areas and volumes of combinations of solids like cones, cylinders, spheres, etc.

Practice Questions

Trigonometry MCQs

Practice questions on trigonometric ratios, identities, and values of trigonometric ratios of specific angles.

Practice Questions

Applications of Trigonometry MCQs

Solve real-world problems involving heights and distances using trigonometric concepts and ratios.

Practice Questions

Probability MCQs

Practice questions on theoretical probability, elementary events, and complementary events.

Practice Questions

Statistics MCQs

Test your knowledge of mean, median, mode of grouped data, and graphical representation of data.

Practice Questions

Chapter-wise Detailed Information

Real Numbers
Sets
Polynomials
Linear Equations
Quadratic Equations
Progressions
Coordinate Geometry
Similar Triangles
Tangents & Secants
Mensuration
Trigonometry
Applications of Trigonometry
Probability
Statistics

Real Numbers Practice Questions

This chapter covers fundamental concepts of real numbers and their properties:

  • Euclid's division lemma and algorithm
  • Fundamental Theorem of Arithmetic
  • Revisiting irrational numbers
  • Decimal expansions of rational numbers
  • Finding HCF and LCM using prime factorization

Our practice questions help you master these concepts with varied difficulty levels.

Practice Real Numbers Questions

Sets Practice Questions

This chapter introduces you to set theory and its applications:

  • Sets and their representations
  • Types of sets (empty, finite, infinite, equal, equivalent)
  • Subsets and power sets
  • Venn diagrams and operations on sets
  • Practical problems using sets

Our MCQs cover all aspects of set theory with real-world applications.

Practice Sets Questions

Polynomials Practice Questions

This chapter explores polynomial functions and their properties:

  • Zeros of a polynomial
  • Relationship between zeros and coefficients
  • Division algorithm for polynomials
  • Geometrical meaning of zeros
  • Factorization of polynomials

Practice questions help strengthen your understanding of polynomial concepts.

Practice Polynomials Questions

Pair of Linear Equations Practice Questions

This chapter focuses on solving systems of linear equations:

  • Graphical method of solution
  • Algebraic methods - substitution, elimination
  • Cross-multiplication method
  • Equations reducible to linear form
  • Word problems involving linear equations

Our practice questions cover all methods with varied difficulty levels.

Practice Linear Equations Questions

Quadratic Equations Practice Questions

This chapter deals with quadratic equations and their solutions:

  • Standard form of quadratic equations
  • Solution by factorization method
  • Solution by completing the square
  • Quadratic formula and its derivation
  • Nature of roots based on discriminant

Practice questions help master different solution methods effectively.

Practice Quadratic Equations Questions

Progressions Practice Questions

This chapter covers arithmetic progressions and their properties:

  • Introduction to sequences and series
  • Arithmetic Progressions (AP)
  • nth term of an AP
  • Sum of first n terms of an AP
  • Applications of AP in real-life situations

Our MCQs help you practice various problems on arithmetic progressions.

Practice Progressions Questions

Coordinate Geometry Practice Questions

This chapter introduces the coordinate system and its applications:

  • Distance formula
  • Section formula (internal and external division)
  • Area of a triangle using coordinates
  • Collinearity of points
  • Midpoint formula

Practice questions strengthen your understanding of coordinate geometry concepts.

Practice Coordinate Geometry Questions

Similar Triangles Practice Questions

This chapter explores similarity of triangles and its applications:

  • Similar figures and similarity of triangles
  • Criteria for similarity of triangles (AAA, SAS, SSS)
  • Areas of similar triangles
  • Basic Proportionality Theorem (Thales theorem)
  • Applications of similarity in real-life problems

Our practice questions cover all similarity criteria and applications.

Practice Similar Triangles Questions

Tangents and Secants Practice Questions

This chapter focuses on circles and their properties:

  • Tangent to a circle
  • Number of tangents from a point on a circle
  • Lengths of tangents
  • Secants and their properties
  • Alternate segment theorem

Practice questions help master circle theorems and their applications.

Practice Tangents & Secants Questions

Mensuration Practice Questions

This chapter deals with surface areas and volumes of solid figures:

  • Surface areas and volumes of combinations of solids
  • Conversion of solids from one shape to another
  • Frustum of a cone
  • Surface area and volume of sphere, hemisphere
  • Real-life applications of mensuration

Our MCQs cover various combinations of solids and conversion problems.

Practice Mensuration Questions

Trigonometry Practice Questions

This chapter introduces trigonometric ratios and identities:

  • Trigonometric ratios and their relationships
  • Trigonometric ratios of complementary angles
  • Trigonometric identities
  • Values of trigonometric ratios of specific angles
  • Solving trigonometric equations

Practice questions help strengthen your trigonometric problem-solving skills.

Practice Trigonometry Questions

Applications of Trigonometry Practice Questions

This chapter applies trigonometric concepts to real-world problems:

  • Heights and distances
  • Angle of elevation and depression
  • Solving problems involving two objects
  • Applications in navigation and surveying
  • Word problems with trigonometric applications

Our practice questions cover various real-life applications of trigonometry.

Practice Applications of Trigonometry Questions

Probability Practice Questions

This chapter introduces the concept of probability and its calculation:

  • Probability - theoretical approach
  • Elementary events and sample space
  • Complementary events
  • Probability of sure and impossible events
  • Applications of probability in daily life

Practice questions help develop strong probabilistic reasoning skills.

Practice Probability Questions

Statistics Practice Questions

This chapter covers data analysis and statistical measures:

  • Mean, median, and mode of grouped data
  • Graphical representation of data
  • Ogive and cumulative frequency distribution
  • Measures of central tendency
  • Real-life applications of statistics

Our MCQs help you practice various statistical calculations and interpretations.

Practice Statistics Questions