DAV Class 8 Maths Chapter 1 Value Based Questions
Squares and Square Roots Value Based Questions
1. Priya wants to wish her teacher on Teacher's Day by giving her a self-made greeting card. She chooses a pink coloured square sheet of paper. A side of that paper measures 19.5 cm.
(i) Find the area of paper she chooses for the card.
Solution
\[ \begin{align*} \text{Side of the paper} & = 19.5 \ cm\\ \color{magenta} \text{Area} & = \color{magenta} (Side)^2 \\ & = (19.5 \ cm)^2 \\ & = 19.5 \ cm \times 19.5 \ cm \\ & = \color{green} 380.25 \ cm^2 \end{align*} \]
Answer Area of paper she chooses for the card \( = \color{red}380.25 \ cm^2 \)
(ii) What act of Priya did you like?
Answer Respect, gratitude and thankful nature.
2. The students of Class-VIII B of a school donated ₹2,304 for the Prime Minister's National Relief Fund. Each student donated as many rupees as the number of students in the class.
(i) Find the number of students in VIII B.
Solution
\[ \begin{align*} \text{No. of students} & = x \\ \text{Amount donated by students} & = x \\ \text{Total Amount} & = \text{₹}2304 \\ x^2 & = 2304 \\ x & = \sqrt{2304} \end{align*} \] \[ \begin{array}{r|l} & \phantom{00}48 \\ \hline 4 & \phantom{-}\overline{23} \, \overline{04} \\ & -16 \\ \hline 88 & \phantom{-1}704 \\ & \phantom{}-704 \\ \hline & \phantom{000}0 \\ \end{array} \] \[ \begin{align*} \sqrt{2304} & = 48 \\ x & = 48 \end{align*} \]
Answer Number of students \( = \color{red} 48 \)
(ii) What quality of the students do you appreciate here?
Answer Caring, helpful and responsible.