Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 559 · 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 21²? =
2. 2.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
3. 3.A square garden has an area of 441 square m. How long is each side (in m)?
4. 4.How many whole numbers lie between 39² and 40²?
5. 5.How many whole numbers lie between 40² and 41²?
6. 6.Which of these is a perfect square? (a) 1496 (b) 1505 (c) 1444
7. 7.What is 24²? =
8. 8.A square garden has an area of 900 square m. How long is each side (in m)?
9. 9.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
10. 10.What is 52²? =
11. 11.What is √1764? =
12. 12.How many whole numbers lie between 29² and 30²?
13. 13.A square garden has an area of 961 square m. How long is each side (in m)?
14. 14.What is 23²? =
15. 15.Which of these is a perfect square? (a) 352 (b) 332 (c) 324
16. 16.A square garden has an area of 2116 square m. How long is each side (in m)?
17. 17.What is √625? =
18. 18.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
19. 19.What is 33²? =
20. 20.What is √3969? =
21. 21.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
22. 22.Which of these is a perfect square? (a) 959 (b) 927 (c) 900
23. 23.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
24. 24.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
25. 25.How many whole numbers lie between 36² and 37²?
26. 26.Which of these is a perfect square? (a) 676 (b) 691 (c) 684
27. 27.A square garden has an area of 2704 square m. How long is each side (in m)?
28. 28.How many whole numbers lie between 31² and 32²?
29. 29.What is the smallest whole number by which 60 must be multiplied to get a perfect square?
30. 30.What is √2809? =
31. 31.What is √484? =
32. 32.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
33. 33.Which of these is a perfect square? (a) 582 (b) 599 (c) 576
34. 34.How many whole numbers lie between 35² and 36²?
35. 35.What is the smallest whole number by which 325 must be divided to get a perfect square?
36. 36.What is √529? =
37. 37.What is 54²? =
38. 38.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
39. 39.A square garden has an area of 3025 square m. How long is each side (in m)?
40. 40.What is √289? =

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