# Revision for Finals

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```					                          Study material-1
Revision for Finals
Topics: Squares and square roots
Cubes and cube roots
Exponents

Class VIII
Date: 21.02.07

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
625             29              26
(i )           ( ii ) 4     ( iii ) 23      ( iv ) 5.774409 ( v ) 0.00053361
1296             49             121
Ans: 25/36; 15/7; 53/11; 2.403; 0.0231
1
4. The area of a square field is 101          square meters. Find the length of
400
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: -1260
20. Evaluate: 4 x 81-1/2 x ( 811/2 + 813/2) ans: 328
E.V.Ramana, TGT(maths)

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