JBCN International School Maths Class 08 Exam Paper PDF

JBCN international school MATHS Class 08 - Mathematics Time Allowed: 2 hours Maximum Marks: 134 1. Two numbers are respectively 20 percent and 50 percent of a...

JBCN international school MATHS Class 08 - Mathematics Time Allowed: 2 hours Maximum Marks: 134 1. Two numbers are respectively 20 percent and 50 percent of a third number. What percent of the first number is the second number? 2. Find the percentage change, when a number is changed from: 6.25 to 7.50 3. A's income is 10 percent more than B's; how much percent is B's income less than A's? 4. The monthly income of a man is ₹ 16,000. 15 percent of it is paid as income-tax and 75% of the remainder is spent on rent, food, clothing, etc. How much money is still left with the man? 5. In a combined test in English and Physics; 36% candidates failed in English; 28% failed in Physics and 12% in both; find: i. the percentage of passed candidates. ii. the total number of candidates appeared, if 208 candidates have failed 6. Find the percentage change in the cost of an article which first increases by 20% and then decreases by 8%. 7. A number decreased by 23% becomes 539. Find the number. 8. By selling a certain number of goods for ₹ 5,500, a shopkeeper loses equal to one tenth of their selling price. Find: i. the loss incurred ii. the cost price of the goods iii. the loss as percent. 9. A man buys a certain number of articles at 15 for ₹ 112.50 and sells them at 12 for ₹ 108. Find: i. his gain as percent; ii. the number of articles sold to make a profit of ₹ 75. 10. Articles bought at 10 for ₹ 8, are sold at 8 for ₹ 10. Find the gain percent. Also, find the number of articles bought and sold in order to gain ₹ 144.  11. The cost price of an article is 30 percent less than its selling price. Find the profit or the loss as percent. 12. Mr. Sinha sold two tape recorders for ₹ 990 each, gaining 10% on one and losing 10% on the other. Find his total loss or gain, as percent, on the whole transaction. 13. A man sells a radio set for ₹ 605 and gains 10%. At what price should he sell another radio of the same kind in order to gain 16%? 14. Find the simple interest on ₹ 1,300 from December 23, 2002 to May 18, 2003 at 7 1 2 % per annum. 15. Find the principal which will amount to ₹ 4,000 in 4 years at 6.25% per annum. 16. Find the interest and the amount on ₹ 5,000 at 8% per year from 23rd December 2011 to 29th July 2012. 17. In what time will the interest on a certain sum of money at 6% be 5 of itself? 8 18. Divide ₹ 15,600 into two parts such that the interest on one at 5 percent for 5 years may be equal to that on the other at 4 per cent for 6 years. 1 2 19. What sum of money lent at 6.5% per annum will produce the same interest in 4 years as ₹ 7,500 produce in 6 years at 5% per annum? 20. If the interest on ₹ 2,400 is more than the interest on ₹ 2,000 by ₹ 60 in 3 years at the same rate per cent, find the rate. 21. Find the amount and the compound interest on ₹ 8,000 in 1 years at 10% per 1 2 year compounded half-yearly. 22. Calculate the amount and the compound interest on ₹ 5,000 in 2 years, if the rates of interest for the successive years be 8% and 10% respectively. 23. Calculate the amount and the compound interest on ₹ 5,000 in 1 years when 1 2 interest is compound half-yearly at the rate of 20% per year. 24. A man invests ₹ 9,600 at 10% per annum compound interest for 3 years. Calculate : i. the interest for the first year. ii. the amount at the end of the first year. iii. the interest for the second year. iv. the interest for the third year. 25. Calculate the amount and the compound interest on ₹ 8,000 for 1 year at 10% per annum compounded half-yearly. 26. Rohit borrowed ₹ 40,000 for 2 years at 10% per annum C.I. and Manish borrowed the same sum for the same time at 10.5% per annum simple interest. Which of these two gives less interest and by how much? 27. 7x + 4{x2 ÷ (5x ÷ 10)} - 3{2 - x3 ÷ (3x2 ÷ x)} 28. 2[6 + 4{m - 6(7- ¯ ) + q)} ¯¯¯¯¯¯¯¯¯¯¯ n + p 29. The base and the altitude of a triangle are (3x - 4y) and (6x + 5y) respectively. Find its area. 6 6 2 2 30. Divide x - y by the product of x + xy + y and x - y. 4 2 2 3 31. Evaluate (3x y ) (2x y ) for x = 1 and y = 2. 4 32. The product of two numbers is 16x - 1. If one number is 2x - 1, find the other. 33. If x = 6a + 8b + 9c; y = 2b - 3a - 6c and z = c - b + 3a; find: i. x + y + z ii. x - y + z iii. 2x - y - 3z iv. 3y - 2z - 5x 34. Expand: (a + 1 ) 2 2a 35. Expand: 3 1 (2a − ) 2a 36. Expand: 3 (3x + 2y) 37. If a - b = 6 and ab = 16, find a2 + b2 38. Evaluate: (3x - 4y) (3x + 4y) (9x2 + 16y2) 39. The difference between two numbers is 5 and their product is 14. Find the difference between their cubes. 40. Evaluate: (a + b) (a - b) (a2 + b2) 41. If a + b = 6 and ab = 8, find: a3 + b3. 42. If m − m 1 = 5 , find: i. m2 + 1 m 2 ii. m4 + 1 m 4 iii. m 2 − 1 m 2 43. If 2x − 1 2x = 4, find: i. 4x 2 + 1 4x 2 ii. 8x 3 − 1 8x 3 44. Factorisation: -x2y - x + 3xy + 3 45. Factorisation: 3x5y - 27x4y2 + 12x3y3 46. Factorisation: 2ab2c - 2a + 3b3c - 3b - 4b2c2 + 4c 47. Factorisation: 3a2b -12a2 - 9b + 36 48. Factorise: 36x2y2 - 30x3y3 + 48x3y2 2 49. Factorisation: 1 - 25 (a + b) 50. Factorisation: (a + 2b)2 - a2 51. Factorisation: (5a - 2b)2 - (2a - b)2 52. Factorise: 9(x + y)2 - 16(x - 3y)2 53. Factorise: 1 - 4(a - 2b)2 54. Factorisation: a2 + 4a + 4 - b2 55. Factorisation: a2 - b2 - 2b - 1 2 2 4 56. Factorisation: 2a b - 98b 57. Factorise: 2a3 - 50a 2 2 58. Factorisation: x - y - 3x - 3y 59. Factorisation: 3x2y + 11xy + 6y 60. Factorisation: 2a2 - 8a - 64 61. Factorisation: 5ap2 + 11ap + 2a 62. Factorise: x4 - 5x2 - 36 63. Find the solution set of the inequation: 12 + 6x > 0; where x is a negative integer. 64. If the replacement set is the set of natural numbers, solve: 4x + 1 ≥ 17 65. Solve: 2x+3 > 4x−1 ,x∈W 5 2 66. Solve: 2 3 x + 8 < 12; x ∈ W