Class 8 CBSE Mathematics Exam

General Overview

• Time allocated for the exam is 1 hour and 30 minutes.
• The maximum score for the paper is 40 marks.
• The paper consists of three sections: A, B, and C.

Section A: 1 Mark Questions

• Square of 13: Calculate (13^2).
• Square root of 169: Find ( \sqrt{169} ).
• Perfect cubes: Determine if 729 is a perfect cube (Answer: Yes).
• Cube of 6: Calculate (6^3).
• Cube root of 64: Find ( \sqrt[3]{64} ).
• Identifying perfect square: Choose from 18, 25, 32 (Answer: 25).
• Solving for n: If ( n^2 = 225 ), then find ( n ).
• Simplification: Simplify ( \sqrt{81} ).
• Cube of 4: Calculate (4^3).
• Pythagorean triplet: Provide any example of a Pythagorean triplet.

Section B: 2 Marks Questions

• Square root of 625: Use prime factorization to find ( \sqrt{625} ).
• Perfect cube determination: Check if 243 is a perfect cube.
• Making a number a perfect square: Identify the smallest factor to multiply 48 for it to become a perfect square.
• Square of 35: Calculate (35^2).
• Cube roots: Find the cube roots of 512 and 729.

Section C: 4 Marks Questions

• Area of square field: The area is 729 m²; find the length of one side and calculate fencing cost at ₹12/m.
• Cube root calculation: Obtain the cube root of 3375 through prime factorization.
• Gardener's arrangement: He has 2025 plants and needs to arrange them into equal rows and columns; find both numbers.
• Volume of a cube: Given volume of 1331 cm³; determine the side length of the cube.
• Multiplication for perfect cube: Find the smallest number to multiply with 243 to make it a perfect cube and calculate the cube root of the new number.