Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 602 · 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 64 square m. How long is each side (in m)?
2. 2.What is 52²? =
3. 3.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
4. 4.A square garden has an area of 961 square m. How long is each side (in m)?
5. 5.What is 58²? =
6. 6.A square garden has an area of 676 square m. How long is each side (in m)?
7. 7.A square garden has an area of 529 square m. How long is each side (in m)?
8. 8.What is √484? =
9. 9.Which of these is a perfect square? (a) 225 (b) 249 (c) 226
10. 10.How many whole numbers lie between 46² and 47²?
11. 11.What is 71²? =
12. 12.A square garden has an area of 3249 square m. How long is each side (in m)?
13. 13.Which of these is a perfect square? (a) 495 (b) 484 (c) 503
14. 14.What is √2116? =
15. 15.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
16. 16.Which of these is a perfect square? (a) 403 (b) 415 (c) 400
17. 17.Which of these is a perfect square? (a) 841 (b) 879 (c) 852
18. 18.Which of these is a perfect square? (a) 335 (b) 337 (c) 324
19. 19.How many whole numbers lie between 33² and 34²?
20. 20.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
21. 21.Which of these is a perfect square? (a) 375 (b) 361 (c) 367
22. 22.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
23. 23.What is √784? =
24. 24.What is √2025? =
25. 25.What is √1681? =
26. 26.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
27. 27.How many whole numbers lie between 11² and 12²?
28. 28.What is √2304? =
29. 29.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
30. 30.A square garden has an area of 361 square m. How long is each side (in m)?
31. 31.A square garden has an area of 900 square m. How long is each side (in m)?
32. 32.How many whole numbers lie between 9² and 10²?
33. 33.What is 55²? =
34. 34.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
35. 35.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
36. 36.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
37. 37.Which of these is a perfect square? (a) 273 (b) 278 (c) 256
38. 38.A square garden has an area of 3364 square m. How long is each side (in m)?
39. 39.What is √3600? =
40. 40.A square garden has an area of 2809 square m. How long is each side (in m)?

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