Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 555 · 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 32²? =
2. 2.What is the smallest whole number by which 216 must be divided to get a perfect square?
3. 3.What is √676? =
4. 4.What is the smallest whole number by which 90 must be divided to get a perfect square?
5. 5.What is 29²? =
6. 6.A square garden has an area of 169 square m. How long is each side (in m)?
7. 7.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
8. 8.What is 70²? =
9. 9.Which of these is a perfect square? (a) 363 (b) 361 (c) 384
10. 10.Which of these is a perfect square? (a) 284 (b) 257 (c) 256
11. 11.Which of these is a perfect square? (a) 446 (b) 464 (c) 441
12. 12.A square garden has an area of 2916 square m. How long is each side (in m)?
13. 13.What is √9604? =
14. 14.What is 97²? =
15. 15.What is √1156? =
16. 16.How many whole numbers lie between 20² and 21²?
17. 17.What is the smallest whole number by which 252 must be divided to get a perfect square?
18. 18.A square garden has an area of 324 square m. How long is each side (in m)?
19. 19.A square garden has an area of 576 square m. How long is each side (in m)?
20. 20.Which of these is a perfect square? (a) 1185 (b) 1181 (c) 1156
21. 21.What is 45²? =
22. 22.How many whole numbers lie between 24² and 25²?
23. 23.What is the smallest whole number by which 448 must be divided to get a perfect square?
24. 24.What is 83²? =
25. 25.Which of these is a perfect square? (a) 1539 (b) 1521 (c) 1553
26. 26.What is √1681? =
27. 27.What is 16²? =
28. 28.How many whole numbers lie between 39² and 40²?
29. 29.A square garden has an area of 2809 square m. How long is each side (in m)?
30. 30.What is √9216? =
31. 31.How many whole numbers lie between 38² and 39²?
32. 32.What is 44²? =
33. 33.What is 64²? =
34. 34.What is √8836? =
35. 35.What is 27²? =
36. 36.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
37. 37.What is 14²? =
38. 38.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
39. 39.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
40. 40.What is √3364? =

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