## Important Questions on Squares and Square Roots

Q1. 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.

Q2. 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 the new number.

Q3. A school collected Rs 2304 as fees from its students. If each student paid as much paise as there were students in the school, how many students were there in the school?

Q4. 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?

Q5. **How many numbers lie between squares of the following numbers?**

(i) 12 and 13

(ii) 25 and 26

(iii) 99 and 100

Q6. 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.

Q7. Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

Q8. Find the square root of 7921 using long division method.

Q9. A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain the same. Find the minimum number of plants he needs more for this.

Q10. A ladder 10 m long rests against a vertical wall. If the foot of the ladder is 6 m away from the wall and the ladder just reaches the top of the wall, how high is the wall?