Rani Lakshmi Bai, Bravery Woman
Class VIII
1. Find the smallest number by which 9408 must be divided so that it becomes a perfect square. Also, find the square root of the perfect square so obtained. Ans: 56
2. 5929 students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium? Ans: 77
3. Find the square root of ( i ) ( ii ) 4 ( iii ) 23 ( iv ) 5.774409 ( v ) 0.00053361 Ans: 25/36; 15/7; 53/11; 2.403; 0.0231
4. The area of a square field is 101 square meters. Find the length of one side of the field. Ans: 201/20
5. Find the square root by method of long division.
6. ( i ) 2304 ( ii ) 84100 ( iii ) 54756 ( iv ) 390625 ( v ) 1234321 ( vi ) 3226694416 Ans: 48, 290; 234; 625; 1111; 56804
7. Find the least number which must be subtracted from 2361 to make it a perfect square. Ans: 57
8. Find the least number which must be added to 4931 to make it a perfect square. Ans: 110
9. Find the least number of four digits which is a perfect square. Ans:1024
10. Find the greatest number of six digits which is a perfect square.
Ans: 998001
11. Find the square root of 1.7 correct to three places of decimal. Ans: ans: 1.304
12. Find the square root of 10 correct to 3 decimal places. Ans: 3.162
13. Multiply 1372592 by the smallest number so that the product is a perfect cube. Also, find the case root of the product. Ans: 546
14. Divide the number 26244 by the smallest number so that the quotient is a perfect cube. Also, find the cube root of the quotient. Ans: 36 ; 9
15. Find the cube root of : ( i ) - 125 ( ii ) - 5832 ( iii ) – 17576 ans: -5; -18 ; -26
16. The volume of a cube is 512 cubic meters. Find the length of the side of the cube.
17. Simplify : 2 x ( 9)3/2 x (9)-1/2 ans: 18
18. Simplify: ( 27)-1/3 x ( 271/3 - 272/3) ans: -2
19. Evaluate: (367/2 – 369/2) / 365/2 ans:
1. Find the smallest number by which 9408 must be divided so that it becomes a perfect square. Also, find the square root of the perfect square so obtained. Ans: 56
2. 5929 students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium? Ans: 77
3. Find the square root of ( i ) ( ii ) 4 ( iii ) 23 ( iv ) 5.774409 ( v ) 0.00053361 Ans: 25/36; 15/7; 53/11; 2.403; 0.0231
4. The area of a square field is 101 square meters. Find the length of one side of the field. Ans: 201/20
5. Find the square root by method of long division.
6. ( i ) 2304 ( ii ) 84100 ( iii ) 54756 ( iv ) 390625 ( v ) 1234321 ( vi ) 3226694416 Ans: 48, 290; 234; 625; 1111; 56804
7. Find the least number which must be subtracted from 2361 to make it a perfect square. Ans: 57
8. Find the least number which must be added to 4931 to make it a perfect square. Ans: 110
9. Find the least number of four digits which is a perfect square. Ans:1024
10. Find the greatest number of six digits which is a perfect square.
Ans: 998001
11. Find the square root of 1.7 correct to three places of decimal. Ans: ans: 1.304
12. Find the square root of 10 correct to 3 decimal places. Ans: 3.162
13. Multiply 1372592 by the smallest number so that the product is a perfect cube. Also, find the case root of the product. Ans: 546
14. Divide the number 26244 by the smallest number so that the quotient is a perfect cube. Also, find the cube root of the quotient. Ans: 36 ; 9
15. Find the cube root of : ( i ) - 125 ( ii ) - 5832 ( iii ) – 17576 ans: -5; -18 ; -26
16. The volume of a cube is 512 cubic meters. Find the length of the side of the cube.
17. Simplify : 2 x ( 9)3/2 x (9)-1/2 ans: 18
18. Simplify: ( 27)-1/3 x ( 271/3 - 272/3) ans: -2
19. Evaluate: (367/2 – 369/2) / 365/2 ans: