Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions

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)

Find the following product:
−11y²(3y + 7)

Find the following product: \[\frac{6x}{5}( x^3 + y^3 )\]

xy(x³ − y³)

Find the following product:
0.1y(0.1x⁵ + 0.1y)

Find the following product: \[\left( - \frac{7}{4}a b^2 c - \frac{6}{25} a^2 c^2 \right)( - 50 a^2 b^2 c^2 )\]

Find the following product: \[- \frac{8}{27}xyz\left( \frac{3}{2}xy z^2 - \frac{9}{4}x y^2 z^3 \right)\]

Find the following product: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]

Find the following product:
1.5x(10x²y − 100xy²)

Find the following product:
4.1xy(1.1x − y)