Class 10 Maths is a crucial subject that lays the groundwork for advanced mathematical concepts in higher education. Our resources are designed to make learning Maths engaging and accessible, helping students grasp the fundamentals and excel in their studies. We cover all the key topics, including Algebra, Geometry, Trigonometry, Statistics, Probability, and more, with detailed explanations and solutions. Each topic is broken down into easy-to-understand steps, ensuring that you can follow along and build your skills progressively. Whether you’re tackling complex equations or trying to understand theorems, our solutions are crafted to guide you through every concept, making it easier to grasp and apply in real-world scenarios. We believe in nurturing a deep understanding of Maths, encouraging you to think critically and solve problems independently. Prepare for your board exams with confidence by using our Class 10 Maths resources, where clarity meets comprehension, and every solution is a step towards mastering the subject.
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NCERT Solutions Class 10 Chapter-wise Maths
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CBSE Class 10 Maths Updated Syllabus 2024-25
With our comprehensive guide, you may learn about the newest revisions to the Class 10 Maths syllabus for 2024-25. This table summarises the redesigned curriculum, noting ideas incorporated to comply with contemporary educational standards, as well as the grades. To succeed academically, stay informed and prepared with the most recent version of the CBSE Maths Syllabus Class 10 2024-25.
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Unit Name
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Marks
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Unit 1: Number Systems
1. Real Number
Fundamental Theorem of Arithmetic – assertions made after reviewing previous work and demonstrating and inspiring with examples. Decimal representation of rational numbers using terminating/non-terminating repeating decimals.
Unit 2: Algebra
1. Polynomials
Zeros of a polynomial. Relationship between zeroes and coefficients of quadratic polynomials only.
2. Pair of Linear Equations in Two Variables
A pair of two-variable linear equations and the graphical method for solving them, as well as their consistency/inconsistency. The number of solutions requires algebraic criteria. Solve a pair of linear equations in two variables algebraically using substitution and elimination. Simple problems in a given context. Simple equation problems that can be reduced to linear equations.
3. Quadratic Equations
A quadratic equation in standard form is ax2+bx+c=0, where an is not equal to zero. Quadratic equations (with only real roots) are solved using factorisation and the quadratic formula.The link between the discriminant and the type of roots. Quadratic equation-based situational situations involving daily activities will be included.
4. Arithmetic Progressions
What is the reason you want to learn about Arithmetic Progression? The nth term and the sum of the first n terms of A.P. are deduced and used to solve difficulties in everyday life.
Unit 3: Coordinate Geometry
1. Coordinate Geometry
LINES (In two-dimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division)
Unit 4: Geometry
1. Triangles
Definitions, examples, and counter examples of similar triangles.
- (Prove) If a line is drawn parallel to one side of a triangle and intersects the other two sides at different positions, the other two sides are divided in the same ratio.
- (Motivate) A line that splits two sides of a triangle in the same ratio is parallel to the third side.
- (Motivate) If the angles in two triangles are equal, the sides are proportionate, and the triangles are similar.
- (Motivate) If the sides of two triangles are proportionate, their angles are equal, and the triangles are similar.
- (Motivate) If one angle of a triangle is equal to one angle of another triangle, and the sides connecting these angles are proportional, the two triangles are comparable.
- (Prove) If a line is drawn parallel to one side of a triangle and intersects the other two sides at different positions, the other two sides are divided in the same ratio.
- (Motivate) A line that splits two sides of a triangle in the same ratio is parallel to the third side.
- (Motivate) If the angles in two triangles are equal, the sides are proportionate, and the triangles are similar.
- (Motivate) If the sides of two triangles are proportionate, their angles are equal, and the triangles are similar.
2. Circles
Tangent to a circle at point of contact
(Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
(Prove) The lengths of tangents drawn from an external point to a circle are equal.
Unit 5: Trigonometry
1. Introduction To Trigonometry
trigonometric ratios for a right-angled triangle’s acute angle. Evidence of their presence (clearly defined). values for the 30°, 45°, and 60° trigonometric ratios. connections among the ratios.
2. Trigonometric Identities
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given
3. Heights and Distances: Angle of elevation, Angle of Depression.
straightforward height and distance issues. A problem should have no more than two right triangles. The maximum elevation/depression angles that are appropriate are 30°, 45°, and 60°.
Unit 6: Mensuration
1. Areas Related to Circles
Inspire the circle’s area, including its sections and segments. issues with the areas and perimeters of the aforementioned plane figures. (Problems with determining the area of a circle segment ought to be limited to the central angles of 60° and 90° alone.
It is necessary to take plane figures of triangles, simple quadrilaterals, and circles.)
2. Surface Areas and Volumes
Surface areas and volumes of any two of the following combinations: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones
Unit 7: Statistics & Probability
1. Statistics
Mean, median, and mode of grouped data (bimodal situation to be excluded).
2. Probability
The classical definition of probability. Simple problems in finding the probability of an event.