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ICSE Class X Board Exam 2025 : Mathematics

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Ryan International School (RIS) ICSE, Bavdhan, Pune
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ICSE Class 10 Mathematics Sample Paper (2025) Time: 2 hours 30 minutes Maximum Marks: 80 General Instructions: 1. All questions are compulsory. 2. The intended marks for questions are indicated in brackets [ ]. 3. Use of a calculator is allowed. 4. Attempt all parts of a question in one place. Section A (40 Marks) All questions are compulsory. Each question carries 4 marks. 1. (a) Solve for x: 3x - 4 = 7x + 8. 2. (b) Find the equation of a line passing through the point (3, -2) with slope -1/2. 3. (c) Evaluate: Integral of (3x + 4) from x=2 to x=5. 4. (d) Simplify: ((x+2)^2 - (x-2)^2) / 4x. Section B (40 Marks) Attempt any four questions. Each question carries 10 marks. 2. A farmer has a rectangular field measuring 80 m 60 m. He wants to build a path of uniform width around the field such that the area of the path is 600 m . Find the width of the path. 3. A sum of money is invested at a compound interest rate of 10% per annum. The amount becomes Rs. 2420 after 2 years. Find the principal. 4. Plot the quadratic equation y = x^2 - 4x + 3. Indicate the roots and vertex of the parabola. 5. Prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. 6. A bag contains 6 red balls, 4 blue balls, and 5 green balls. A ball is drawn at random. Find the probability of: (a) A red ball. (b) Not a blue ball. (c) A green or blue ball. 7. Find the area under the curve y = x^2 between x = 1 and x = 3. Internal Assessment (20 Marks) To be conducted by the school: - Assignments on real-life applications of mathematics (10 marks). - Viva-voce or project work (10 marks).

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