This worksheet is based on the chapter Squares and Square Roots for Class 8. In our YouTube video, we have explained this chapter in detail with clear examples and easy tricks to help you understand the concepts better. Now, try solving the worksheet below to test your understanding. If you face any difficulty or have doubts while solving the questions, do not hesitate to comment under the YouTube video. We will be happy to help and clear all your doubts in our upcoming videos, so don’t forget to subscribe and press the bell icon 🔔 so you won’t miss any video.
📘 Class 8 Mathematics Worksheet
Chapter: Squares and Square Roots
Section A: Objective & Concept-Based Questions
- Write the square of 27.
- Find the square root of 4096.
- State whether 1764 is a perfect square.
- Without calculation, identify which of the following cannot be a perfect square:
(a) 240 (b) 289 (c) 361 (d) 625 - Find √0.64.
- How many natural numbers are there between 1² and 10²?
Section B: Numerical Problems
- Find the square root of 7056 using prime factorisation.
- Find the square root of 7569 using the division method.
- Find the smallest number by which 588 must be multiplied to make it a perfect square.
- Find the smallest number by which 972 must be divided to obtain a perfect square.
- Find the least number which must be added to 1500 to make it a perfect square.
- Find the least number which must be subtracted from 5000 to get a perfect square.
Section C: Application-Based Questions
- The area of a square playground is 7744 m². Find the length of its side.
- 2025 students are arranged in a square formation. Find the number of students in each row.
- A square field has a perimeter of 96 m. Find its area.
- Find the smallest four-digit number which is a perfect square.
- Find the least perfect square that is divisible by 6 and 14.
Section D: Pythagorean Triples
- Check whether (9, 40, 41) is a Pythagorean triplet.
- Find the missing number in the triplet (8, ___, 17).
- If (12, 16, x) is a Pythagorean triplet, find x.
- Check whether the sides 15 cm, 20 cm, and 25 cm form a right-angled triangle.
- Find the diagonal of a rectangle whose length and breadth are 9 m and 40 m.
Section E: Higher-Order & Reasoning Questions
- Find the square root of 12.96.
- How many perfect squares lie between 50 and 200?
- Prove that the square of any odd number is odd.
- Find two Pythagorean triplets in which one number is 16.
- A square floor has an area of 1296 m². Find the cost of flooring it at ₹15 per m².
- 1800 students are arranged in a square. How many students will be left out?
- Find the square root of 2.89 correct to two decimal places.
- The hypotenuse of a right triangle is 25 cm and one side is 7 cm. Find the other side.
