Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 241 · 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 √7056? =
2. 2.A square garden has an area of 1089 square m. How long is each side (in m)?
3. 3.A square garden has an area of 2304 square m. How long is each side (in m)?
4. 4.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
5. 5.How many whole numbers lie between 29² and 30²?
6. 6.A square garden has an area of 81 square m. How long is each side (in m)?
7. 7.Which of these is a perfect square? (a) 288 (b) 256 (c) 257
8. 8.A square garden has an area of 576 square m. How long is each side (in m)?
9. 9.What is the smallest whole number by which 60 must be multiplied to get a perfect square?
10. 10.What is 57²? =
11. 11.A square garden has an area of 484 square m. How long is each side (in m)?
12. 12.What is √400? =
13. 13.What is 45²? =
14. 14.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
15. 15.Which of these is a perfect square? (a) 176 (b) 190 (c) 169
16. 16.Which of these is a perfect square? (a) 1225 (b) 1231 (c) 1227
17. 17.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
18. 18.How many whole numbers lie between 7² and 8²?
19. 19.What is √529? =
20. 20.What is the smallest whole number by which 1215 must be divided to get a perfect square?
21. 21.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
22. 22.How many whole numbers lie between 19² and 20²?
23. 23.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
24. 24.How many whole numbers lie between 12² and 13²?
25. 25.What is 16²? =
26. 26.What is 79²? =
27. 27.What is 67²? =
28. 28.Which of these is a perfect square? (a) 506 (b) 484 (c) 517
29. 29.What is 36²? =
30. 30.How many whole numbers lie between 6² and 7²?
31. 31.How many whole numbers lie between 17² and 18²?
32. 32.What is √1936? =
33. 33.How many whole numbers lie between 10² and 11²?
34. 34.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
35. 35.A square garden has an area of 1936 square m. How long is each side (in m)?
36. 36.What is √5041? =
37. 37.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
38. 38.A square garden has an area of 2704 square m. How long is each side (in m)?
39. 39.Which of these is a perfect square? (a) 400 (b) 416 (c) 436
40. 40.A square garden has an area of 64 square m. How long is each side (in m)?

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