Way To Excel

Saturday, 4 June 2011

Squares and Square Roots for class 8


  8th   Squares and Square Roots  
1. Find the square root of the following by means of factors   i) 529 2. ii) 298116
2. Find the smallest number by which 252 must be multiplied to get a perfect  square. Also, find  the  quare root of the perfect square so obtained. 
4. Find the smallest number by which 2925 must be divided to get a perfect  square. Also, find the square root of the perfect square so obtained. 
5. Find the least square number, exactly divisible by each one of the numbers 6,  9, 15 and 20. 
6. Find the least square number exactly divisible by each one of the numbers 8,  12, 15, 20. 
7. Find the square root of:   (a)  9126441   (b) 63409369
9. Find the least number that must be subtracted from 7581 to obtain a perfect  square. Find the perfect square and its square root.  
10. Find the least number that must be added to 506900 to make it a perfect  square. Find its perfect square and its square root.  
11. Find the least number of 4 digits that is a perfect square. 
12. The area of a square field is 60025 m 2. A man cycles around its boundary at  18 km per hour. In how much time will he return at the starting point? 
13. The sides of a rectangular field are 80 m and 18 m respectively. Find the length of its diagonal. 
14. Find the square root of  (a) 14. 10.0469 (b) 15. 0.00038809
15. Find the value of the following up to three places of decimal:   root 0.019   
16. A decimal fraction is multiplied by itself to give the product 0.007569. Find  the decimal fraction. 
17. The area of a square playground is 291.0436 square meters. Find the length  of each side of the playground. 

18. Evaluate:         (i ) √72 x √338 ·   (ii ) √ 45 x√20  (iii ) √147 x  √243    ·  

19. The area of a square field is   80  + 244/729 square meters. Find the length of each  side of the field.

1 comment:

  1. In class 8, square and square roots are taught as basic need for maths learning and your ideas for grade 8 are interesting and useful for students.
    factor polynomials

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