DR.VIRENDRA SWARUP EDUCATION CENTRE , UNNAO

CLASS 8 MATHEMATICS - WORKSHEET- I

1. Find two rational numbers between -3/2 AND 5/3

2. How many sides does a regular polygon have if the measure of an exterior angle is 24°?

3. Find the cube root of 10648 by prime factorisation method.

4. A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

5. Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

6. Find CI on Rs 12600 for 2 years at 10% per annum compounded annually.

7. Solve: 7Y+4/Y+2=-4/3

8. Find the smallest number by which 704 must be divided to obtain a perfect cube.

9. One of the two digits of a two digit number is three times the other digit. If you interchange the digits of

this two-digit number and add the resulting number to the original number, you get 88. What is the

original number?

10. Find the population of a city after 2 years, which is at present 12 lakhs, if the rate of increase is 4%.

Write any two effects of high populations?

11. The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the

population at the end of the year 2000. Write any two effects of high populations?

12. Find the smallest square number that is divisible by each of the numbers 4, 9 and 10

13. Find the cube root of 17576 by prime factorisation method

14. Find CI on Rs 8,000 for 1 year at 9% per annum compounded half yearly

15. Find the smallest number by which 675 must be multiplied to obtain a perfect cube

16. Factorize 25x3y – 81xy

17. Find any 5 rational numbers between 4 and 5.

18. Simplify 49x2 – 169y2

19. Find the smallest number which when multiplied with 3600 will make the product a perfect cube.

Further, find the cube root of the product.

20. Find the least number which must be subtracted from 18265 to make it a perfect square. Also, find the

square root of the resulting number.

21. Two numbers are in ratio 5 : 3. If they differ by 18, what are the numbers?

22. The ratio of the present ages of Sunil and his wife is 4 : 3. After 4 years, the ratio of their ages will be 9 :

7. What is the present age of Sunil?

23. Differentiate between Rectangle and square.

24. Two articles are bought for Rs. 1600. One of them is sold at a profit of 20% and the other at a loss of

20%. If the selling prices of both are same; find the cost price of each.

25. Two buildings are 20 m and 25 m high. If the buildings are 12 m apart, find the distance between their

tops.

26. The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right

angles, what is the length of each side of the quadrilateral?

27. A shopkeeper purchased 100 notebooks for Rs. 20 each. However, he was not able to sell 10 notebooks

since those were damaged. The remaining notebooks were sold at Rs. 25 each. Find the gain or

loss percentage.

28. The dimensions of a room are 16 × 14 × 10 meters. There are 4 windows of 1.3 m × 1.4 cm and 2 doors

of 2m × 1m. What will be the cost of white washing the walls and painting the doors and

windows, if the rate of white washing is Rs.5 per m2 and rate of painting is Rs.8 per m2.