8th Maths Sample paper for Practice 1. What least number must be subtracted from 7250 to get a perfect square? Also, find the square root of this perfect square 2. What is the least number by which 12348must be divided to obtain a perfect square? 3. Find the cost of erecting a fence around a square field whose area is 9 hectares if fencing costs Rs 3.50 per metre 4. Find the least number of six digits which is a perfect square. Find the square root of this number. 5. Divide (1) x3 - 1 by x - 1 (2) 7 +15x -13x2 +5x3 by 4 - 3x + x2 6. . x + y + z = 0, prove that x 3+ y3 + z3 = 3xyz. Or, Factorize : (a8 – b8) 7. If ( x2 + 1/X2) = 83 . Find X3- 1/X3 Or, , Factorize (i) 25a² – 4b² + 28bc – 49c² (ii) 5y² – 20y – 8z + 2yz 8. A motor boat covers a certain distance downstream in a river in 5 hours. It covers the same distance upstream in 6 hours. The speed of water is 2 km/hr . Find the speed of the boat in still water. ...
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