Page 1 CLASS- VIII Page 1 SUBJECT - MATHS Class : VIII Subject: MATHS General Instructions : (i) The question paper consists of four sections : A, B, C, and D Section â€“ A consists of 8 questions of 1 mark each; Section-B Consists of 6 questions of 2 marks each; Section â€“ C consists Of 10 questions of 3 marks each and Section â€“ D consists 10 Questions of 4 mark each. (ii) All questions are compulsory. SECTION â€“ A 1. The value of x which satisfy the exponential equation v ) x-4 = 1 1 2. The relation between simple interest of a sum P and compound interest 1 For same sum P for one year at R% per annum is (i) S.I. = C.I. (ii) C.I. = P + S.I. (iii) C.I. = P â€“ S.I. (iv) none 3. If degp(x) = m and degq(x) = n then deg[ p(x).q(x)] is, if m > n 1 (i) m â€“ n (ii) m â€“ n (iii) mn (iv) None of these 4. If p(x) is a factor of q(x) then the degree of remainder is 1 (i) 0 (ii) 1 (c) degr(x) < degq(x) (d) Not defined 5. If and are the diagonals of a rhombus then the side of the rhombus 1 v (ii) a.b (iii) (iv) None of these 6. If 125 cm 3 is the volume of a cube then the total surface area of the same cube is 1 (i) 5 cm 2 (b) 25 cm 2 (c) 150 cm 2 (iv) None of these 7. The angle of rotation of an equilateral triangle is 1 (a) 60 o (ii) 120 o (iii) 90 o (iv) 180 o 8. The order of rotation of windmill is 1 (i) 3 (b) 4 (iv) 5 (d) Not defined SECTION - B 9. Find the value of (512) -2/9 2 10. Evaluate 4 × 81 -1/2 [81 1/2 + 81 2/3 ] 2 11. Solve the linear equation = 2 OR Find the positive value of x in = 12. Find the measure of x in the fig. 30 o 30 o 120 o 2 13. Raju painted the outside of a cabinet on all sides except the bottom. If the cabinet measure 1m × 2m × 1.5m, how much surface did she paint. 2 14. Write two letters of English alphabet which exhibit, both line as well as rotational symmetry. 2 Page 2 CLASS- VIII Page 1 SUBJECT - MATHS Class : VIII Subject: MATHS General Instructions : (i) The question paper consists of four sections : A, B, C, and D Section â€“ A consists of 8 questions of 1 mark each; Section-B Consists of 6 questions of 2 marks each; Section â€“ C consists Of 10 questions of 3 marks each and Section â€“ D consists 10 Questions of 4 mark each. (ii) All questions are compulsory. SECTION â€“ A 1. The value of x which satisfy the exponential equation v ) x-4 = 1 1 2. The relation between simple interest of a sum P and compound interest 1 For same sum P for one year at R% per annum is (i) S.I. = C.I. (ii) C.I. = P + S.I. (iii) C.I. = P â€“ S.I. (iv) none 3. If degp(x) = m and degq(x) = n then deg[ p(x).q(x)] is, if m > n 1 (i) m â€“ n (ii) m â€“ n (iii) mn (iv) None of these 4. If p(x) is a factor of q(x) then the degree of remainder is 1 (i) 0 (ii) 1 (c) degr(x) < degq(x) (d) Not defined 5. If and are the diagonals of a rhombus then the side of the rhombus 1 v (ii) a.b (iii) (iv) None of these 6. If 125 cm 3 is the volume of a cube then the total surface area of the same cube is 1 (i) 5 cm 2 (b) 25 cm 2 (c) 150 cm 2 (iv) None of these 7. The angle of rotation of an equilateral triangle is 1 (a) 60 o (ii) 120 o (iii) 90 o (iv) 180 o 8. The order of rotation of windmill is 1 (i) 3 (b) 4 (iv) 5 (d) Not defined SECTION - B 9. Find the value of (512) -2/9 2 10. Evaluate 4 × 81 -1/2 [81 1/2 + 81 2/3 ] 2 11. Solve the linear equation = 2 OR Find the positive value of x in = 12. Find the measure of x in the fig. 30 o 30 o 120 o 2 13. Raju painted the outside of a cabinet on all sides except the bottom. If the cabinet measure 1m × 2m × 1.5m, how much surface did she paint. 2 14. Write two letters of English alphabet which exhibit, both line as well as rotational symmetry. 2 CLASS- VIII Page 2 SUBJECT - MATHS SECTION â€“ C 15. If 5 x + 5 x+1 = 150 find the value of ( 2x ) 1/2x 3 16. At what rate percent will a sum of Rs 6400 be compounded to 68,921 in 3 3 years. OR Calculate the compound interest on Rs 24,000 for 6 months if the interest is payable quarterly at the rate of 8% p.a. 3 17. The value of refrigerator which was purchased two years ago, depreciates at 12% p.a. if its present value is Rs 9680 for how much was it purchased. 3 18. Divide 2x( 4x 2 + 5) â€“ 6x 2 + 3 by 1 + 4x 3 OR Prove that 3x + 1 is a factor of 12x 3 â€“ 2x 2 + x +1 19. Using factor method divide x 4 + 3x 2 â€“ 10 by x 2 + 5 3 20. Solve the equation = 3 21. The sum of three consecutive multiples of 8 is 888. Find three multiples. 3 22. Find the sum of interior angles of a pentagon. 3 23. Construct a quadrilateral ABCD in which side AB = 4 cm, BC = 5 cm, 3 CD = 4.5 cm and diagonal AC = 6.5 cm and BD = 7.5 cm. 24. A rectangular sheet of paper 88 cm × 10 cm is rolled along its length and cylinder is formed. Find the volume of the cylinder so obtained. 3 OR If a rectangular sheet whose length is 8 cm and breadth is 6 cm is rotated about its length. Find the volume of solid so formed. 3 SECTION â€“ D 25. Simplify [ (64) -1/6 (216) -1/3 (81) 1/4 ] [(512) -1/3 (16) 1/4 (9) -1/2 ] 4 26. The difference between the compound interest and simple interest on a 4 Certain sum of money at 15% per annum for 3 years is Rs 283.50. Find the sum. 27. A certain sum of money at compound interest becomes Rs 7,396 in 2 years and Rs 7,950.70 in 3 years. Find the rate of interest. 4 28. Divide - 1 + x 4 by â€“ 1+ x and verify your answer. 4 29. 5 years ago, a mother was7 times as old as her daughter,5 years hence; she will be 3 times as old as her daughter. Find their present age 4 30. Pair of adjacent sides of a rectangle are in the ratio 3:4.If its diagonal is 20 cm, find the lengths of sides and hence, the perimeter of the rectangle. 4 31. ABCD is a parallelogram. AP bisect and CQ bisect . P lies on CD and Q lies on AP show that (i) AP CQ (ii) AQCP is a gram. 4 32. Construction a quadrilateral ABCD in which AB = 4 cm, BC = 5 cm, CD = 4.5 cm, B = 60 o = 135 o 4 33. The outer diameter of a gas cylinder is 20 cm. Find the cost of the painting of its outer curved surface at Rs 4 per sq. centimeter if the height of cylinder is 70 cm. 4 34. Three solid metal cubes with edges 6 cm, 8 cm, and 10 cm respectively are melted together formed into a single cube. Find the volume of new cube. 4Read More

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