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📐 Mathematics

CONFIDENTIAL DOCUMENT

Mathematics - Class 10

2026

Section B: Short Answer (2-3 Marks)

DO OR DIE
Real Numbers (Irrationality)

"Prove that √5 is an irrational number." OR "Given that √3 is irrational, prove that (2 + √3) is also an irrational number."

DO OR DIE
Coordinate Geometry

"Find the ratio in which the line segment joining the points A(1, -5) and B(-4, 5) is divided by the x-axis. Also find the coordinates of the point of division."

DO OR DIE
Polynomials

"Find the zeroes of the quadratic polynomial x² + 7x + 10, and verify the relationship between the zeroes and the coefficients."

Section C & D: Long Answer (3-4 Marks)

DO OR DIE
Geometry (Theorems)

"State and Prove the Basic Proportionality Theorem (Thales Theorem)."

DO OR DIE
Circle Geometry

"Prove that the lengths of tangents drawn from an external point to a circle are equal."

DO OR DIE
Arithmetic Progressions (Case Study)

"An auditorium has 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. If there are 30 rows in total, find: (i) How many seats are there in the 10th row? (ii) What is the total seating capacity of the auditorium?"

Section E: The "Big Five" (5 Marks)

DO OR DIE
Statistics (The Legend)

"The median of the following distribution is 525. Find the values of x and y, if the total frequency is 100."

Class Interval0-100100-200200-300300-400400-500500-600600-700700-800800-900900-1000
Frequency25x121720y974
DO OR DIE
Quadratic Equations (Speed)

"A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the original speed of the train."

DO OR DIE
Heights & Distances

"From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Determine the height of the tower."

⚠️ IMPORTANT: Practice these questions thoroughly!

These are high-probability questions based on CBSE pattern analysis. Master these for guaranteed marks!

🌍 Social Science

CONFIDENTIAL DOCUMENT

Social Science - Class 10

2026

Section B & C: Short/Medium Answer (2-3 Marks)

DO OR DIE
History (Nationalism in India)

"Explain the circumstances under which Gandhiji decided to call off the Non-Cooperation Movement in 1922."

DO OR DIE
Political Science (Federalism)

"Describe any three provisions of the Constitutional Amendment of 1992 which strengthened the third tier of democracy in India."

DO OR DIE
Economics (Sectors)

"Why is the tertiary sector becoming so important in India? Give any three reasons."

DO OR DIE
Geography (Resources)

"Distinguish between Alluvial soil and Black soil on the basis of their formation and the crops grown in them."

Section D: Long Answer (5 Marks)

DO OR DIE
Political Science (Parties)

"Describe any five major functions performed by political parties in a modern democracy."

DO OR DIE
Geography (Lifelines)

"'Roadways still have an edge over Railways in India.' Justify the statement with five arguments."

DO OR DIE
Economics (Money & Credit)

"How do Self-Help Groups (SHGs) help the rural poor, especially women, to become self-reliant? Explain."

DO OR DIE
History (Nationalism in Europe)

"Briefly trace the process of German Unification."

Section E: Case-Based & Map Work (4-5 Marks)

DO OR DIE
Case Study (Nationalism in India)

Extract-based question usually focused on the concept of Satyagraha or the significance of the Salt March.

DO OR DIE
History Map Work (2 Marks)

"On the given political map of India, locate and label the following:

  • (a) The place where the Indian National Congress session was held in September 1920 (Calcutta).
  • (b) The place where Gandhiji violated the Salt Law (Dandi)."
DO OR DIE
Geography Map Work (3 Marks)

"Locate and label any three of the following:

  • (i) Narora Nuclear Power Plant.
  • (ii) Tarapur Nuclear Power Plant.
  • (iii) Noida Software Technology Park.
  • (iv) Hyderabad Software Technology Park."

⚠️ IMPORTANT: Practice these questions thoroughly!

These are high-probability questions based on CBSE pattern analysis. Master these for guaranteed marks!

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