KENDRIYA VIDYALAYA NO-2, DARBHANGA
AUTUMN BREAK HOMEWORK
CLASS- VIII(MATHEMATICS)
1. Draw any four 3-dimensional figures. 2. Identify the like expressions. 5x, -14x, 3x2 + 1, x2, -9x2, xy, -3xy 3. Add: 8x2 + 7xy – 6y2, 4x2 – 3xy + 2y2 and -4x2 + xy – y2 4. Subtract: 3x2 – 5x + 7 from 5x2 – 7x + 9 5. Simplify the following: (i) a2 (b2 – c2) + b2 (c2 – a2) + c2 (a2 – b2) 6. Multiply x2 + 2y by x3 – 2xy + y3 and find the value of the product for x = 1 and y = -1. 7. Evaluate the following: (a) 20% of 400 8. There are 24% of boys in a school. If the number of girls is 456, find the total number of students in the school. 9. An article is marked at ₹ 940. If it is sold for ₹ 799, then find the discount per cent. 10. Find the amount of ₹ 6,250 at 8% pa compounded annually for 2 years. Also, find the compound interest. 11. Is 135 a perfect cube? 12. Find the cube roots of the following: (a) 1728 13. Find the smallest number by which 1323 may be multiplied so that the product is a perfect cube. 14. Find the value of each of the following without calculating squares. (i) 272 – 262 15. Find the squares of: (i) −3/7 16. Using the prime factorisation method, find which of the following numbers are not perfect squares. (i) 768 17. A group of 20 students recorded their heights (in cm). The data received were as given below. What is the range? 150, 120, 112, 160, 155, 151, 158, 142, 148, 149, 161, 165, 140, 157, 156, 146, 148, 153, 138, 135 18. A die is thrown once. Find the probability of getting a number greater than 4. 19. The following pie chart depicts the percentage of students, nationwide. What is the percentage of (i) Indian students
(ii) African students? 20. The following table represents the number of students in a school playing six different games. Present the above information on a bar graph.
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