Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 278 · 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 2809 square m. How long is each side (in m)?
2. 2.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
3. 3.How many whole numbers lie between 39² and 40²?
4. 4.A square garden has an area of 3025 square m. How long is each side (in m)?
5. 5.What is √2916? =
6. 6.What is the smallest whole number by which 735 must be multiplied to get a perfect square?
7. 7.How many whole numbers lie between 24² and 25²?
8. 8.A square garden has an area of 1369 square m. How long is each side (in m)?
9. 9.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
10. 10.What is 32²? =
11. 11.A square garden has an area of 529 square m. How long is each side (in m)?
12. 12.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
13. 13.How many whole numbers lie between 23² and 24²?
14. 14.Which of these is a perfect square? (a) 1389 (b) 1404 (c) 1369
15. 15.How many whole numbers lie between 45² and 46²?
16. 16.A square garden has an area of 121 square m. How long is each side (in m)?
17. 17.What is 28²? =
18. 18.What is 54²? =
19. 19.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
20. 20.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
21. 21.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
22. 22.What is 97²? =
23. 23.Which of these is a perfect square? (a) 225 (b) 247 (c) 252
24. 24.What is 23²? =
25. 25.What is √289? =
26. 26.What is √1521? =
27. 27.What is 38²? =
28. 28.A square garden has an area of 256 square m. How long is each side (in m)?
29. 29.A square garden has an area of 289 square m. How long is each side (in m)?
30. 30.What is the smallest whole number by which 540 must be multiplied to get a perfect square?
31. 31.What is √4900? =
32. 32.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
33. 33.How many whole numbers lie between 35² and 36²?
34. 34.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
35. 35.How many whole numbers lie between 13² and 14²?
36. 36.What is 81²? =
37. 37.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
38. 38.What is 62²? =
39. 39.What is 79²? =
40. 40.What is √5625? =

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