Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 215 · 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 2601 square m. How long is each side (in m)?
2. 2.Which of these is a perfect square? (a) 256 (b) 288 (c) 276
3. 3.Which of these is a perfect square? (a) 144 (b) 162 (c) 154
4. 4.Which of these is a perfect square? (a) 325 (b) 324 (c) 353
5. 5.A square garden has an area of 81 square m. How long is each side (in m)?
6. 6.Which of these is a perfect square? (a) 529 (b) 551 (c) 561
7. 7.What is √8281? =
8. 8.A square garden has an area of 324 square m. How long is each side (in m)?
9. 9.What is 15²? =
10. 10.A square garden has an area of 1521 square m. How long is each side (in m)?
11. 11.What is 89²? =
12. 12.What is 86²? =
13. 13.Which of these is a perfect square? (a) 1521 (b) 1535 (c) 1523
14. 14.What is the smallest whole number by which 18 must be divided to get a perfect square?
15. 15.Which of these is a perfect square? (a) 737 (b) 729 (c) 769
16. 16.Which of these is a perfect square? (a) 244 (b) 251 (c) 225
17. 17.What is 53²? =
18. 18.What is the smallest whole number by which 175 must be multiplied to get a perfect square?
19. 19.What is 25²? =
20. 20.What is the smallest whole number by which 75 must be divided to get a perfect square?
21. 21.What is the smallest whole number by which 52 must be divided to get a perfect square?
22. 22.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
23. 23.How many whole numbers lie between 28² and 29²?
24. 24.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
25. 25.What is 34²? =
26. 26.How many whole numbers lie between 40² and 41²?
27. 27.What is √7569? =
28. 28.What is √900? =
29. 29.How many whole numbers lie between 50² and 51²?
30. 30.What is √1225? =
31. 31.What is 46²? =
32. 32.What is the smallest whole number by which 735 must be divided to get a perfect square?
33. 33.Which of these is a perfect square? (a) 1621 (b) 1600 (c) 1601
34. 34.What is √1936? =
35. 35.Which of these is a perfect square? (a) 223 (b) 196 (c) 205
36. 36.What is √4900? =
37. 37.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
38. 38.What is 90²? =
39. 39.What is 58²? =
40. 40.What is the smallest whole number by which 63 must be multiplied to get a perfect square?

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