Class 8 CBSE Mathematics Exam

Study Notes

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.

Description

This quiz is designed for Class 8 CBSE students to assess their knowledge in Mathematics. It contains a variety of questions divided into three sections, covering topics such as squares, square roots, and cubes. Answer all questions to test your understanding and preparation.