Questions and Answers
What is the square root of 169?
729 is a perfect cube.
True
What is the cube of 6?
216
The smallest number by which 48 must be multiplied to make it a perfect square is _____.
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Match the following numbers with their respective properties:
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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.
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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.
