SAMPLE PAPERS CBSE EXAM 2025 Class:10th Sub: Maths Standard. ONE SHOT REVISION

CBSE Class 10 Maths Standard 2025: One-Shot Revision (Part 01)
This is a brief overview of key concepts for your CBSE Class 10 Maths Standard exam. Remember to consult your textbook and teacher for in-depth understanding and practice.
1. Number Systems
Real Numbers:
Understand the concept of irrational numbers.
Learn about the properties of real numbers (commutative, associative, distributive).
Know how to represent irrational numbers on the number line.
Euclid's Division Lemma: Understand its statement and applications in finding the HCF of two numbers.
2. Polynomials
Degree of a Polynomial: Define and identify the degree of various polynomials.
Zeroes of a Polynomial:
Understand the relationship between zeroes and coefficients of a polynomial (for quadratic polynomials).
Learn to find zeroes of linear and quadratic polynomials.
Polynomial Division Algorithm: Understand the process of dividing polynomials.
3. Linear Equations in Two Variables
Graphical Method: Learn to represent linear equations graphically.
Algebraic Methods:
Solve systems of linear equations using substitution, elimination, and cross-multiplication methods.
Understand word problems and formulate linear equations to solve them.
4. Quadratic Equations
Standard Form: Recognize and represent quadratic equations in standard form.
Methods of Solving:
Factorization method
Completing the square method
Quadratic formula
Nature of Roots:
Determine the nature of roots (real, equal, or imaginary) using the discriminant.
5. Arithmetic Progressions
nth Term: Find the nth term of an AP using the formula.
Sum of n terms:
Derive and apply the formula for the sum of n terms of an AP.
Solve problems related to finding the sum of an AP.
6. Coordinate Geometry
Distance Formula:
Derive and apply the distance formula to find the distance between two points.
Section Formula:
Find the coordinates of the midpoint of a line segment.
Find the coordinates of a point dividing a line segment in a given ratio.
7. Triangles
Similar Triangles:
Understand the criteria for similarity of triangles (AA, SAS, SSS).
Apply the properties of similar triangles to solve problems.
Areas of Similar Triangles:
Understand the relationship between the areas of similar triangles.
Pythagoras Theorem:
State and prove the Pythagoras theorem.
Apply the Pythagoras theorem to solve problems.
8. Trigonometry
Trigonometric Ratios:
Define and learn the values of trigonometric ratios for standard angles (0°, 30°, 45°, 60°, 90°).
Understand and apply trigonometric identities (sin²θ + cos²θ = 1, etc.).
Trigonometric Ratios of Complementary Angles:
Learn and apply the relationships between trigonometric ratios of complementary angles.
9. Circles
Tangents to a Circle:
Understand the properties of tangents drawn from an external point to a circle.
Solve problems related to tangents and circles.
10. Constructions
Basic Constructions:
Constructing triangles with given conditions (SSS, SAS, ASA).
Constructing tangents to a circle.
11. Areas Related to Circles
Circumference and Area of a Circle:
Derive and apply the formulas for circumference and area of a circle.
Areas of Sectors and Segments:
Learn to find the areas of sectors and segments of a circle.
12. Surface Areas and Volumes
Cuboid and Cube:
Find the surface area and volume of cuboids and cubes.
Cylinder:
Find the curved surface area, total surface area, and volume of a cylinder.
Cone:
Find the curved surface area, total surface area, and volume of a cone.
Sphere:
Find the surface area and volume of a sphere.
Hemisphere:
Find the surface area and volume of a hemisphere.
13. Statistics
Mean, Median, Mode:
Calculate the mean, median, and mode of grouped data.
Cumulative Frequency:
Understand and construct cumulative frequency tables.
Ogive:
Draw and interpret ogives (less than and more than type).
14. Probability
Basic Concepts:
Understand the concept of probability and its basic terms.
Calculate the probability of simple events.
Remember: This is a brief overview. Thoroughly revise each topic from your textbook and practice with sample papers and previous years' question papers to excel in your CBSE Class 10 Maths Standard exam.
Disclaimer: This information is for general guidance only and may not be entirely comprehensive. Always refer to your official CBSE syllabus and guidelines for the most accurate and up-to-date information.
I hope this helps! Let me know if you have any specific questions about any of these topics.