Question 1 :
Find the number of plants in each row if 1024 plants are arranged so that number of plants in a row is the same as the number of rows.
Question 2 :
If a perfect square is of n digits, then its square root will have $\left(\frac{n+1}{2}\right)$ digit if n is
Question 3 :
The square root of a perfect square of n digits will have $\frac{n}{2}$ digits if n is even. Is it true or false ?
Question 5 :
1000 is a perfect square. Is it true or false ?
Question 6 :
Check whether 1728 is a perfect cube by using prime factorisation.
Question 7 :
Which of the following will have 4 at the units place?
Question 8 :
During a mass drill exercise, 6250 students of different schools are arranged in rows such that the number of students in each row is equal to the number of rows. In doing so, the instructor finds out that 9 children are left out. Find the number of children in each row of the square.
Question 9 :
By what smallest number should 216 be divided so that the quotient is a perfect square?
Question 10 :
By what smallest number should 3600 be multiplied so that the quotient is a perfect cube?
Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd3f59b460d7261edf5.PNG' />
From the above figure, supply the missing information for diagram.
Question 13 :
State true or false: Standard form is also called scientific notation form.
Question 14 :
Express the result in power notation with positive exponent. $2^{– 3} × (–7)^{– 3}$
Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf76f59b460d7261f193.png' />
In the above number line, write the rational number labelled with a letter I.
Question 21 :
Tell what property allows you to compute $\frac{1}{3}\times [6\times \frac{4}{3}]$ as $[\frac{1}{3}\times 6]\times \frac{4}{3}$.
Question 22 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf74f59b460d7261f190.png' />
In the above number line, write the rational number labelled with a letter J.