MBSE 10th Exam 2025 - Result (Out), Toppers, Marksheet

English: Unit 01

• (a) David’s story, (b) Don’t die Graham! don’t die, (c) Wangari Maathai, (d) The lap of honour, (e) Two gentlemen of Vesona

English: Unit 02

• (b) The Brook, (b) The poplar field, (c) Be the best

English: Unit 03

• Long composition: (i) Narrative essay, (ii) job application, (iii) diary entry
• Short composition: (i) Notice, (ii) formal and informal invitation, (iii) poster writing

English: Unit 04

English: Unit 05

• (a) The merchant of Venice, (b) The story of my life, (c) The paper plague, (d) The corner shop, (e) The adventure of the three students

Hindi: Unit 01

Hindi: Unit 02

Hindi: Unit 03

Hindi: Unit 04

Hindi: Unit 05

Hindi: Unit 06

Alternative english: Unit 01

• Parts of speech, punctuation, idioms and phrases, essay writing, precis writing

Alternative english: Unit 02

• (a) The old woman, (b) A fine day, (c) She walks in beauty, (d) I vow to thee, my country, (e) Going down-hill on a bicycle

Alternative english: Unit 03

• (a) On fame, (b) The happy prince, (c) The muscular son-in-law, (d) Illness that make us healthier, (e) Leo Tolstoy

Alternative english: Unit 04

• David Copperfield–Charles Dicken

Mathematics: Unit 01

• Installments: Installments payments (only equal installments should be taken. In case of payments through equal installments, not more than two installments should be taken)

Mathematics: Unit 02

• Solution of problems based on time and work

Mathematics: Unit 03

• Polynomials: Zeros of a polynomial. Relationship between zeros and co-efficients of a polynomial with particular reference to quadratic polynomials. HCF and LCM to be included. Rational expressions
• Linear equation in two variables: System of linear equation in two variables. Solution of the system of linear equations: (i) Graphical method, (ii) by algebraic Methods: (a) Elimination by substitution method
• Linear equation in two variables: Solution of the system of linear equations-(ii) by algebraic Methods: (b) Elimination by equating the co-efficients
• Quadratic equations: Standard form of quadratic equation ax + bx + c = 0,(a ≠ 0). Solution of ax + bx + c =0 by (i) factorisation, (ii) quadratic formula. Application of quadratic equations in solving word-problems from different areas
• Quadratic equations: Relationship between discriminant and nature of roots ( problems related to day-to-day activities to be incorporated)
• Arithmetic progression (AP): Introduction to AP by pattern of number. General term of an AP, sum to n-terms of an AP
• Sets: Revision. Venn diagrams (not more than three sets). Complement of a set, operations on sets (union, intersection and difference of two sets)

Mathematics: Unit 04

• Triangles: Definitions, examples, counter examples of similar triangles
• Triangles: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio (motivate)
• Triangles: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side (motivate)
• Triangles: Prove that the internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle (motivate)
• Triangles: If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar (motivate)
• Triangles: If in two triangles, the corresponding angles are equal, then their corresponding sides are proportional and hence the triangles are similar (motivate)
• Triangles: If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar (motivate)
• Triangles: If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar (motivate)
• Triangles: If a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other (motivate)
• Triangles: The ratio of the area of two similar triangles is equal to the ratio of the squares on their corresponding sides (motivate)
• Triangles: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides (motivate)
• Triangles: In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle (motivate)
• Circles: If two arcs of a circle are congruent, their corresponding chords are equal and its converse (motivate)
• Circles: The angles subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle (prove)
• Circles: The angle in a semi circle is a right angle (prove)
• Circles: Converse of 3 (motivate)
• Circles: Angles in the same segment of a circle are equal (prove)
• Circles: If a line segment joining two points subtends equal angle at other two points lying on the same side of the line containing the segment, the four points lie on a circle (motivate)
• Circles: The sum of either pair of the opposite angles of a cyclic quadrilateral is 180° (prove)
• Circles: Converse of 7 (prove)

Mathematics: Unit 05

• Coordinate geometry: Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two pairs and section formula (internal)

Mathematics: Unit 06

• Proving simple identities based on the following (proofs not required): (i) sinA + cosA = 1 (ii) secA= l + tanA (iii) cosecA = 1 + cotA
• Trigonometric ratios of complementary angles: (i) sin (90°- A) = cos A, (ii) cos (90°- A) = sin A, (iii) tan (90°- A) = cot A, (iv) cosec (90°- A) = sec A, (v) cot (90° - A) = tan A, (vi) sec (90°- A) = cosec A
• Problems based on above
• Heights and Distances: Simple problems on heights and distances-(i) problems should not involve more than two right triangles, (ii) angles of elevation/depression should be only 30°, 45°, 60°

Mathematics: Unit 07

• Areas related to circle: Problems based on areas and circumferences of a circles (in calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only)
• Surface areas and volumes: Problems on finding surface areas and volumes of combinations of any two of the following-cubes, cuboids, spheres, hemispheres and right circular, cylinders/ cones
• Surface areas and volumes: Problems involving converting one type of metallic solid into another and other mixed problems (problems with combination of not more than two different solids be taken)

Mathematics: Unit 08

• Mean: Mean of grouped data (calculation by taking assumed mean should also be discussed). Median and mode of grouped data
• Probability: Elementary idea of probability as a measure of uncertainty (for single event only)
• Pictorial representation of data: Construction of pie chart (sub parts of pie chart should not exceed five. Central angle should be in multiples of 5 degrees

Science: Unit 01

• Convergence and divergence of light
• Images formed by a concave mirror; related concepts; centre of curvature; principal axis
• Optic centre, focus, focal length
• Refraction; laws of refraction
• Image formed by a convex lens; appreciations of concept of refraction; velocity of light; refractive index; twinkling of stars; dispersion of light
• Scattering of light

Science: Unit 02

• Effects of current potential, potential difference, Ohm’s law; series combination of resistors, parallel combination of resistors; power: Dissipation due to current; Interrelation between P, V, I and R
• Magnets: Magnetic field, field lines, field due to a current carrying wire, field due to current carrying coil or solenoid; force on current carrying conductor, Fleming’s left hand rule. Electromagnetic induction
• Magnets: Induced potential difference, induced current

Science: Unit 03

• Chemical substances-nature and behaviour
• Acids, bases and salts: General properties, examples and uses
• Chemical reactions: Types of chemical reactions-combination, decomposition, displacement, double displacement, precipitation, neutralization, oxidation and reduction in terms of gain and loss of oxygen and hydrogen
• Metals and non-metals: Properties of common metals. Elementary idea about bonding
• Carbon compounds: Carbon compounds, elementary idea about bonding. Saturated hydrocarbons, alcohols, carboxylic acids (no preparation, only properties)
• Some important chemical compounds: Soap-cleansing action of soap
• Periodic classification of elements: Gradations in properties-Mendeleev periodic table

Science: Unit 04

• Our environment: Environmental problems, their solutions. Biodegradable, nonbiodegradable, ozone depletion
• Life Processes: Living things; basic concept of nutrition, respiration, transport and excretion in plants and animals
• Reproduction: Reproduction in plants and animals. Need for and methods of family planning. Safe sex vs. HIV, AIDS. Child bearing and women’s health
• Heridity and evolution: Heridity; origin of life: brief introduction

Social science-History (India and the contemporary world-II): Unit 01

Social science-History (India and the contemporary world-II): Unit 02

Social science-History (India and the contemporary world-II): Unit 03

Social science-History (India and the contemporary world-II): Unit 04

Social science-Geography: India-resources and the development: Unit 01

Social science-Geography: India-resources and the development: Unit 02

Social science-Geography: India-resources and the development: Unit 03

Social science-Geography: India-resources and the development: Unit 04

Social science-Geography: India-resources and the development: Unit 05

Social science-Geography: India-resources and the development: Unit 06

Social science-Political science: Democratic politics-II: Unit 01

Social science-Political science: Democratic politics-II: Unit 02

Social science-Political science: Democratic politics-II: Unit 03

Social science-Economic: Understanding economic: Unit 01

Social science-Economic: Understanding economic: Unit 02

Social science-Economic: Understanding economic: Unit 03

Social science-Disaster management: Unit 01

Social science-Disaster management: Unit 02