Class 8 Maths Worksheet: Squares and Square Roots

Maths worksheets lesson 58: Squares and square roots · Set 89 · 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 √2704? =
2. 2.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
3. 3.A square garden has an area of 144 square m. How long is each side (in m)?
4. 4.Which of these is a perfect square? (a) 323 (b) 289 (c) 290
5. 5.A square garden has an area of 2916 square m. How long is each side (in m)?
6. 6.What is √5329? =
7. 7.Which of these is a perfect square? (a) 635 (b) 636 (c) 625
8. 8.What is √144? =
9. 9.A square garden has an area of 1849 square m. How long is each side (in m)?
10. 10.Which of these is a perfect square? (a) 784 (b) 797 (c) 806
11. 11.What is √1296? =
12. 12.How many whole numbers lie between 6² and 7²?
13. 13.How many whole numbers lie between 24² and 25²?
14. 14.Which of these is a perfect square? (a) 841 (b) 883 (c) 855
15. 15.What is √2401? =
16. 16.A square garden has an area of 121 square m. How long is each side (in m)?
17. 17.What is √729? =
18. 18.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
19. 19.What is √9216? =
20. 20.How many whole numbers lie between 8² and 9²?
21. 21.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
22. 22.What is 45²? =
23. 23.How many whole numbers lie between 23² and 24²?
24. 24.How many whole numbers lie between 19² and 20²?
25. 25.A square garden has an area of 1369 square m. How long is each side (in m)?
26. 26.What is 29²? =
27. 27.What is 74²? =
28. 28.A square garden has an area of 3364 square m. How long is each side (in m)?
29. 29.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
30. 30.A square garden has an area of 81 square m. How long is each side (in m)?
31. 31.What is the smallest whole number by which 150 must be divided to get a perfect square?
32. 32.What is 94²? =
33. 33.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
34. 34.How many whole numbers lie between 12² and 13²?
35. 35.What is 75²? =
36. 36.What is the smallest whole number by which 160 must be divided to get a perfect square?
37. 37.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
38. 38.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
39. 39.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
40. 40.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?

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