Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 519 · 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 √6241? =
2. 2.A square garden has an area of 169 square m. How long is each side (in m)?
3. 3.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
4. 4.A square garden has an area of 441 square m. How long is each side (in m)?
5. 5.How many whole numbers lie between 28² and 29²?
6. 6.What is √7744? =
7. 7.What is √4356? =
8. 8.Which of these is a perfect square? (a) 1181 (b) 1156 (c) 1167
9. 9.What is √6889? =
10. 10.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
11. 11.Which of these is a perfect square? (a) 729 (b) 769 (c) 758
12. 12.What is 46²? =
13. 13.Which of these is a perfect square? (a) 1563 (b) 1521 (c) 1550
14. 14.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
15. 15.A square garden has an area of 1225 square m. How long is each side (in m)?
16. 16.What is √256? =
17. 17.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
18. 18.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
19. 19.How many whole numbers lie between 22² and 23²?
20. 20.Which of these is a perfect square? (a) 1447 (b) 1457 (c) 1444
21. 21.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
22. 22.What is √3481? =
23. 23.A square garden has an area of 529 square m. How long is each side (in m)?
24. 24.What is 51²? =
25. 25.What is 18²? =
26. 26.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
27. 27.What is √2601? =
28. 28.What is the smallest whole number by which 384 must be divided to get a perfect square?
29. 29.What is 44²? =
30. 30.Which of these is a perfect square? (a) 1060 (b) 1057 (c) 1024
31. 31.What is the smallest whole number by which 147 must be divided to get a perfect square?
32. 32.What is 49²? =
33. 33.A square garden has an area of 729 square m. How long is each side (in m)?
34. 34.What is 99²? =
35. 35.A square garden has an area of 1444 square m. How long is each side (in m)?
36. 36.How many whole numbers lie between 37² and 38²?
37. 37.What is 29²? =
38. 38.A square garden has an area of 121 square m. How long is each side (in m)?
39. 39.What is 83²? =
40. 40.Which of these is a perfect square? (a) 1089 (b) 1137 (c) 1148

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