Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 595 · 40 sums

The method (Pairs make squares): Square: n × n. Quick way: (a + b)² = a² + 2ab + b², e.g. 42² = 1600 + 160 + 4. Square root: the number that times itself gives the square; a square ending in 4 has a root ending in 2 or 8. Make a perfect square: break into primes; multiply (or divide) by the prime left without a partner. 1 + 3 + 5 + … (n odd numbers) = n². Between n² and (n + 1)² there are 2n whole numbers.

1. 1.A square garden has an area of 324 square m. How long is each side (in m)?
2. 2.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
3. 3.Which of these is a perfect square? (a) 488 (b) 484 (c) 512
4. 4.A square garden has an area of 2916 square m. How long is each side (in m)?
5. 5.A square garden has an area of 1156 square m. How long is each side (in m)?
6. 6.Which of these is a perfect square? (a) 128 (b) 121 (c) 137
7. 7.What is 57²? =
8. 8.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
9. 9.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
10. 10.What is 12²? =
11. 11.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
12. 12.What is √961? =
13. 13.What is 45²? =
14. 14.What is √8281? =
15. 15.What is 25²? =
16. 16.A square garden has an area of 900 square m. How long is each side (in m)?
17. 17.How many whole numbers lie between 18² and 19²?
18. 18.What is 96²? =
19. 19.A square garden has an area of 64 square m. How long is each side (in m)?
20. 20.What is 82²? =
21. 21.Which of these is a perfect square? (a) 1455 (b) 1444 (c) 1456
22. 22.What is √1369? =
23. 23.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
24. 24.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
25. 25.Which of these is a perfect square? (a) 849 (b) 884 (c) 841
26. 26.A square garden has an area of 36 square m. How long is each side (in m)?
27. 27.A square garden has an area of 1681 square m. How long is each side (in m)?
28. 28.What is √1936? =
29. 29.What is 42²? =
30. 30.A square garden has an area of 729 square m. How long is each side (in m)?
31. 31.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
32. 32.What is √9604? =
33. 33.What is √6084? =
34. 34.What is 19²? =
35. 35.A square garden has an area of 3481 square m. How long is each side (in m)?
36. 36.How many whole numbers lie between 20² and 21²?
37. 37.Which of these is a perfect square? (a) 730 (b) 736 (c) 729
38. 38.What is √784? =
39. 39.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
40. 40.What is √2500? =

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets