SQUARES AND SQUARE ROOTS PRACTICE WORKSHEET

Problem 1 :

1225 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Solution

Problem 2 :

Find the smallest number by which 3645 should be divided so as to get a perfect square. Also, find the square root of the number so obtained.

Solution

Problem 3 :

For each of the following numbers, find the smallest number by which we divide it so as to get a perfect square. Also find the square root of the square numbers so obtained.

a)  37845           (b) 2800             (c) 45056

Solution

Problem 4 :

The students of Class VIII of a school donated $2401 for Relief Fund. Each student donated as many dollars as the number of students in the Class. Find the number of students in the Class.

Solution

Problem 5 :

There are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

Solution

Problem 1 :

A school collected $2304 as fees from its students. If each student paid as many dollars as there were students in the school, how many students were there in the school?

Problem 2 :

2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Solution

Problem 3 :

10404 students are sitting in a lecture room in such a manner that there are as many students in a row as there are rows in a lecture room. How many students are there in each row of a lecture room?

Solution

Problem 4 :

Find the smallest number by which 1800 must be multiplied so that it becomes a perfect square. Also find the square root of the perfect square so obtained.

Solution

Problem 5 :

Is 2352 a perfect square? if not, find the smallest number by which 2352 must be multiplied so that the product is a perfect square. Find the square root of new number.

Solution

Problem 6 :

The area of a square field is 8281 m². Find the length of its side.

Solution