Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 94 · 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.What is 27²? =
2. 2.Which of these is a perfect square? (a) 1313 (b) 1350 (c) 1296
3. 3.A square garden has an area of 2601 square m. How long is each side (in m)?
4. 4.What is √4900? =
5. 5.How many whole numbers lie between 5² and 6²?
6. 6.What is 99²? =
7. 7.A square garden has an area of 2916 square m. How long is each side (in m)?
8. 8.How many whole numbers lie between 32² and 33²?
9. 9.What is √8281? =
10. 10.What is √1156? =
11. 11.What is 30²? =
12. 12.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
13. 13.What is the smallest whole number by which 468 must be multiplied to get a perfect square?
14. 14.Which of these is a perfect square? (a) 781 (b) 776 (c) 729
15. 15.What is the smallest whole number by which 27 must be multiplied to get a perfect square?
16. 16.What is √361? =
17. 17.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
18. 18.Which of these is a perfect square? (a) 875 (b) 841 (c) 885
19. 19.What is √3025? =
20. 20.What is 93²? =
21. 21.What is the smallest whole number by which 504 must be multiplied to get a perfect square?
22. 22.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
23. 23.What is the smallest whole number by which 40 must be divided to get a perfect square?
24. 24.Which of these is a perfect square? (a) 1402 (b) 1418 (c) 1369
25. 25.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
26. 26.A square garden has an area of 121 square m. How long is each side (in m)?
27. 27.What is √3249? =
28. 28.A square garden has an area of 3364 square m. How long is each side (in m)?
29. 29.What is 51²? =
30. 30.What is 21²? =
31. 31.What is the smallest whole number by which 160 must be divided to get a perfect square?
32. 32.What is √1521? =
33. 33.Which of these is a perfect square? (a) 1225 (b) 1227 (c) 1262
34. 34.What is 92²? =
35. 35.How many whole numbers lie between 25² and 26²?
36. 36.What is √144? =
37. 37.Which of these is a perfect square? (a) 1128 (b) 1089 (c) 1133
38. 38.What is 53²? =
39. 39.What is 34²? =
40. 40.A square garden has an area of 2304 square m. How long is each side (in m)?

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