Secondary School (English Medium) (5 to 8) कक्षा ८ - CBSE Question Bank Solutions for Mathematics

Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x⁴) × (x²)³ × (2x)²

The area of a square field is 5184 cm². A rectangular field, whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.

Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20

Find the least square number, exactly divisible by each one of the number: 

8, 12, 15 and 20

Express each of the following product as a monomials and verify the result in each case for x = 1:
(x²)³ × (2x) × (−4x) × (5)

Find the square roots of 121 and 169 by the method of repeated subtraction. 

Write down the product of −8x²y⁶ and −20xy. Verify the product for x = 2.5, y = 1.

Write the prime factorization of the following number and hence find their square root. 

 7744

Evaluate (3.2x⁶y³) × (2.1x²y²) when x = 1 and y = 0.5.

Write the prime factorization of the following number and hence find their square root. 

9604 

Find the value of (5x⁶) × (−1.5x²y³) × (−12xy²) when x = 1, y = 0.5.

Evaluate (2.3a⁵b²) × (1.2a²b²) when a = 1 and b = 0.5.

The students of class VIII of a school donated Rs 2401 for PM's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class. 

Evaluate (−8x²y⁶) × (−20xy) for x = 2.5 and y = 1.

A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.

Evaluate each of the following when x = 2, y = −1.

\[(2xy) \times \left( \frac{x^2 y}{4} \right) \times \left( x^2 \right) \times \left( y^2 \right)\]

Evaluate each of the following when x = 2, y = −1. 

\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]

Find the following product:
2a³(3a + 5b)

Find the following product:
−11a(3a + 2b)

Find the following product:
−5a(7a − 2b)