Question 1 :
Find the side of a square whose area is equal to the area of a rectangle with sides 6.4m and 2.5m.
Question 3 :
The cube root of a number x is the number whose cube is
Question 4 :
A number having 7 at its ones place will have 3 at the units place of its square. Is it true or false ?
Question 5 :
Find the length of the side of a square if the length of its diagonal is 10 cm.
Question 6 :
Let x and y be natural numbers. If x divides y, then $x^3$ divides $y^3$. Is it true or false ?
Question 7 :
Cube of an even number is odd. Is it true or false ?
Question 9 :
State true or false: A natural number is called a perfect square if it is the square of some natural number.
Question 10 :
Find the greatest number of three digits that is a perfect square.
Question 12 :
The area of a rectangular field whose length is twice its breadth is 2450 $m^2$. Find the perimeter of the field.
Question 13 :
A decimal number is multiplied by itself. If the product is 51.84, find the number.
Question 14 :
Which of the following is the square of an odd number?
Question 15 :
There is no cube root of a negative integer. Is it true or false ?
Question 18 :
If one side of a cube is 15 m in length, find its volume.
Question 19 :
Given that $\sqrt{4096}$ = 64, the value of $\sqrt{4096}$ + $\sqrt{40.96}$ is
Question 20 :
What will be the number of unit squares on each side of a square graph paper if the total number of unit squares is 256?
Question 24 :
By what smallest number should 216 be divided so that the quotient is a perfect square?
Question 28 :
A perfect square number having n digits where n is even will have square root with
Question 29 :
A square board has an area of 144 square units. How long is each side of the board?
Question 30 :
A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?
Question 31 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cd83f59b460d7261eee3.jpg' />
Which letter best represents the location of $\sqrt{25}$ on a number line?
Question 32 :
Each prime factor appears 3 times in its cube. Is it true or false ?
Question 33 :
Find the smallest number by which 1620 must be divided to get a perfect square.
Question 34 :
Cube roots of 8 are +2 and –2. Is it true or false ?
Question 35 :
A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each row, then find the number of seats in each row.
Question 36 :
If x and y are integers such that $x^2$ > $y^2$, then $x^3$ > $y^3$. Is it true or false ?
Question 37 :
A number having 7 at its ones place will have 3 at the ones place of its cube. Is it true or false ?
Question 39 :
Which among $43^2$, $67^2$, $52^2$, $59^2$ would end with digit 1?
Question 40 :
A number ending in 9 will have the units place of its square as
Question 41 :
What is the least number that should be added to 6200 to make it a perfect square?
Question 43 :
State true or false: A natural number is called a perfect cube if it is the cube of some natural number.
Question 45 :
The cube root of 8000 is 200. Is it true or false ?
Question 47 :
The cube of a one digit number cannot be a two digit number. Is it true or false ?
Question 48 :
Find the smallest number by which 9720 should be divided to get a perfect cube.
Question 49 :
State true or false: A perfect square can always be expressed as the product of pairs of prime factors.